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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Physics</journal-id>
<journal-title>Frontiers in Physics</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Physics</abbrev-journal-title>
<issn pub-type="epub">2296-424X</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3389/fphy.2014.00031</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Physics</subject>
<subj-group>
<subject>Original Research Article</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Rare earth dopant (Nd, Gd, Dy, and Er) hybridization in lithium tetraborate</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name><surname>Kelly</surname> <given-names>Tony D.</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<uri xlink:href="http://community.frontiersin.org/people/u/133656"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Petrosky</surname> <given-names>James C.</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
</contrib>
<contrib contrib-type="author">
<name><surname>McClory</surname> <given-names>John W.</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
</contrib>
<contrib contrib-type="author">
<name><surname>Adamiv</surname> <given-names>Volodymyr T.</given-names></name>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
<uri xlink:href="http://community.frontiersin.org/people/u/160241"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Burak</surname> <given-names>Yaroslav V.</given-names></name>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
<uri xlink:href="http://community.frontiersin.org/people/u/160248"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Padlyak</surname> <given-names>Bohdan V.</given-names></name>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
<xref ref-type="aff" rid="aff3"><sup>3</sup></xref>
</contrib>
<contrib contrib-type="author">
<name><surname>Teslyuk</surname> <given-names>Ihor M.</given-names></name>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
<uri xlink:href="http://community.frontiersin.org/people/u/160235"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Lu</surname> <given-names>Ning</given-names></name>
<xref ref-type="aff" rid="aff4"><sup>4</sup></xref>
<xref ref-type="aff" rid="aff5"><sup>5</sup></xref>
</contrib>
<contrib contrib-type="author">
<name><surname>Wang</surname> <given-names>Lu</given-names></name>
<xref ref-type="aff" rid="aff4"><sup>4</sup></xref>
</contrib>
<contrib contrib-type="author">
<name><surname>Mei</surname> <given-names>Wai-Ning</given-names></name>
<xref ref-type="aff" rid="aff4"><sup>4</sup></xref>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name><surname>Dowben</surname> <given-names>Peter A.</given-names></name>
<xref ref-type="aff" rid="aff5"><sup>5</sup></xref>
<xref ref-type="author-notes" rid="fn001"><sup>&#x0002A;</sup></xref>
<uri xlink:href="http://community.frontiersin.org/people/u/110280"/>
</contrib>
</contrib-group>
<aff id="aff1"><sup>1</sup><institution>Department of Engineering Physics, Air Force Institute of Technology</institution> <country>Dayton, OH, USA</country></aff>
<aff id="aff2"><sup>2</sup><institution>Institute of Physical Optics</institution> <country>Lviv, Ukraine</country></aff>
<aff id="aff3"><sup>3</sup><institution>Division of Spectroscopy of Functional Materials, Department of Physics, University of Zielona G&#x000F3;ra</institution> <country>Zielona G&#x000F3;ra, Poland</country></aff>
<aff id="aff4"><sup>4</sup><institution>Department of Physics, University of Nebraska at Omaha</institution> <country>Omaha, NE, USA</country></aff>
<aff id="aff5"><sup>5</sup><institution>Department of Physics and Astronomy, Nebraska Center for Materials and Nanoscience, University of Nebraska-Lincoln</institution> <country>Lincoln, NE, USA</country></aff>
<author-notes>
<fn fn-type="edited-by"><p>Edited by: Peter Fischer, Lawrence Berkeley National Laboratory, USA</p></fn>
<fn fn-type="edited-by"><p>Reviewed by: Fengqi Song, Nanjing University, China; Cesare Franchini, University of Vienna, Austria; Khim Karki, Brookhaven National Laboratory, USA</p></fn>
<fn fn-type="corresp" id="fn001"><p>&#x0002A;Correspondence: Peter A. Dowben, Department of Physics and Astronomy, University of Nebraska-Lincoln, Theodore Jorgensen Hall, 855 N 16th Street, Lincoln, NE, 68588-0299, USA e-mail: <email>pdowben1&#x00040;unl.edu</email></p></fn>
<fn fn-type="other" id="fn002"><p>This article was submitted to Condensed Matter Physics, a section of the journal Frontiers in Physics.</p></fn>
</author-notes>
<pub-date pub-type="epub">
<day>27</day>
<month>05</month>
<year>2014</year>
</pub-date>
<pub-date pub-type="collection">
<year>2014</year>
</pub-date>
<volume>2</volume>
<elocation-id>31</elocation-id>
<history>
<date date-type="received">
<day>21</day>
<month>03</month>
<year>2014</year>
</date>
<date date-type="accepted">
<day>07</day>
<month>05</month>
<year>2014</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#x000A9; 2014 Kelly, Petrosky, McClory, Adamiv, Burak, Padlyak, Teslyuk, Lu, Wang, Mei and Dowben.</copyright-statement>
<copyright-year>2014</copyright-year>
<license license-type="open-access" xlink:href="http://creativecommons.org/licenses/by/3.0/"><p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) or licensor are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</p>
</license>
</permissions>
<abstract><p>The four dopants (Nd, Gd, Dy, and Er) substitutionally occupy the Li<sup>&#x0002B;</sup> sites in lithium tetraborate (Li<sub>2</sub>B<sub>4</sub>O<sub>7</sub>: RE) glasses as determined by analysis of the extended X-ray absorption fine structure. The dopants are coordinated by 6-8 oxygen at a distance of 2.3 to 2.5 &#x000C5;, depending on the rare earth. The inverse relationship between the RE-O coordination distance and rare earth (RE) atomic number is consistent with the expected lanthanide atomic radial contraction with increased atomic number. Through analysis of the X-ray absorption near edge structure, the rare earth dopants adopt the RE<sup>3&#x0002B;</sup> valence state. There are indications of strong rare earth 5<italic>d</italic> hybridization with the trigonal and tetrahedral formations of BO<sub>3</sub> and BO<sub>4</sub> based on the determination of the rare earth substitutional Li<sup>&#x0002B;</sup> site occupancy from the X-ray absorption near edge structure data. The local oxygen disorder around the RE<sup>3&#x0002B;</sup> luminescence centers evident in the structural determination of the various glasses, and the hybridization of the RE<sup>3&#x0002B;</sup> dopants with the host may contribute to the asymmetry evident in the luminescence emission spectral lines. The luminescence emission spectra are indeed characteristic of the expected <italic>f</italic>-to-<italic>f</italic> transitions; however, there is an observed asymmetry in some emission lines.</p></abstract>
<kwd-group>
<kwd>rare earth luminescence</kwd>
<kwd>lithium tetraborate</kwd>
<kwd>hyrbridization</kwd>
<kwd>x-ray absorption</kwd>
<kwd>local structure</kwd>
</kwd-group>
<counts>
<fig-count count="10"/>
<table-count count="2"/>
<equation-count count="1"/>
<ref-count count="93"/>
<page-count count="10"/>
<word-count count="8405"/>
</counts>
</article-meta>
</front>
<body>
<sec sec-type="introduction" id="s1">
<title>Introduction</title>
<p>Materials containing boron investigated for solid state neutron detection [<xref ref-type="bibr" rid="B1">1</xref>] include semiconducting boron carbide [<xref ref-type="bibr" rid="B1">1</xref>&#x02013;<xref ref-type="bibr" rid="B12">12</xref>], boron nitride [<xref ref-type="bibr" rid="B13">13</xref>&#x02013;<xref ref-type="bibr" rid="B15">15</xref>], boron phosphide [<xref ref-type="bibr" rid="B16">16</xref>&#x02013;<xref ref-type="bibr" rid="B19">19</xref>], Mg<sub>2</sub>B<sub>14</sub> [<xref ref-type="bibr" rid="B20">20</xref>] and lithium borates [<xref ref-type="bibr" rid="B21">21</xref>&#x02013;<xref ref-type="bibr" rid="B27">27</xref>]. In particular, undoped lithium tetraborate (Li<sub>2</sub>B<sub>4</sub>O<sub>7</sub>) is capable of being enriched with <sup>6</sup>Li up to 95% and <sup>10</sup>B up to 97.3% [<xref ref-type="bibr" rid="B26">26</xref>], well above the natural abundances (<sup>6</sup>Li&#x02013;7.42%, <sup>10</sup>B&#x02013;19%), thereby increasing thermal neutron capture [<xref ref-type="bibr" rid="B1">1</xref>, <xref ref-type="bibr" rid="B21">21</xref>, <xref ref-type="bibr" rid="B26">26</xref>].</p>
<p>Many rare earth (RE) ions exhibit high luminescence efficiency in host borate crystals and glasses with various chemical compositions [<xref ref-type="bibr" rid="B27">27</xref>&#x02013;<xref ref-type="bibr" rid="B46">46</xref>]. Consequently, combining rare earth dopants with the high thermal neutron capture cross-sections of <sup>6</sup>Li and <sup>10</sup>B may result in highly efficient neutron scintillators [<xref ref-type="bibr" rid="B26">26</xref>, <xref ref-type="bibr" rid="B27">27</xref>, <xref ref-type="bibr" rid="B46">46</xref>, <xref ref-type="bibr" rid="B47">47</xref>]. In lithium tetraborate, this is particularly true as undoped Li<sub>2</sub>B<sub>4</sub>O<sub>7</sub> has a wide band gap of &#x0007E;9.8 eV, based on measurements of {100} and {110} oriented single crystals [<xref ref-type="bibr" rid="B24">24</xref>, <xref ref-type="bibr" rid="B48">48</xref>&#x02013;<xref ref-type="bibr" rid="B51">51</xref>] and is highly transparent in the visible spectrum. In general, the borates, including lithium tetraborate (Li<sub>2</sub>B<sub>4</sub>O<sub>7</sub>) single crystals, are characterized by high optical transmission from far infrared to vacuum ultraviolet [<xref ref-type="bibr" rid="B49">49</xref>, <xref ref-type="bibr" rid="B52">52</xref>].</p>
<p>Obtaining single crystal Li<sub>2</sub>B<sub>4</sub>O<sub>7</sub> is technologically challenging; thus, application to large area scintillation detectors will favor glasses over single crystals due to lower fabrication costs. The very low crystal growth velocity and high melt viscosity lead to difficulties with dopants, particularly rare earths [<xref ref-type="bibr" rid="B53">53</xref>, <xref ref-type="bibr" rid="B54">54</xref>]. Therefore, from the technological viewpoint, the vitreous Li<sub>2</sub>B<sub>4</sub>O<sub>7</sub> compounds are more advantageous when compared with their crystalline analogs.</p>
<p>Padlyak, Teslyuk and coworkers studied the luminescence properties of some rare earth doped lithium tetraborate (Li<sub>2</sub>B<sub>4</sub>O<sub>7</sub>:RE) glasses [<xref ref-type="bibr" rid="B39">39</xref>, <xref ref-type="bibr" rid="B41">41</xref>]. They deduced from the optical characteristics that the rare earths generally occupy the Li<sup>&#x0002B;</sup> site exclusively in the &#x0002B;3 valence state. Compared to other rare earth doped borates and crystalline counterparts, a broadening of the spectral lines was observed which was theorized to be a result of the dopant interaction with a varying O-coordination environment in the glassy material. Studying this varying O-coordination structure is not ideal [<xref ref-type="bibr" rid="B55">55</xref>] with traditional bulk diffraction measurements (e.g., XRD) due to the lack of long range order. Instead, a more localized probe such as extended X-ray absorption fine structure (EXAFS) may be used.</p>
<p>In this research, lithium tetraborate glasses have been separately doped with four different rare earth elements: Nd, Gd, Dy, and Er. The local environment about the dopants was studied with EXAFS in order to determine the positional disorder of the varying O environment, an average coordination number and bond length, and to assist in validating the presumption that a varying O-environment is the source of the spectral line broadening. Further, the experimentally determined site has been used as a basis for density functional theory (DFT) calculations to investigate the electronic nature behind the spectral line broadening observed in the emission spectra.</p>
</sec>
<sec sec-type="materials and methods" id="s2">
<title>Materials and methods</title>
<p>The doped Li<sub>2</sub>B<sub>4</sub>O<sub>7</sub>:Nd, Li<sub>2</sub>B<sub>4</sub>O<sub>7</sub>:Gd, Li<sub>2</sub>B<sub>4</sub>O<sub>7</sub>:Dy, and Li<sub>2</sub>B<sub>4</sub>O<sub>7</sub>:Er glasses were obtained in the air from corresponding polycrystalline compounds according to standard glass synthesis. For solid state synthesis of the doped materials, highly pure carbonate (Li<sub>2</sub>CO<sub>3</sub>) and boric acid (H<sub>3</sub>BO<sub>3</sub>) were used. Solid-state synthesis of the doped Li<sub>2</sub>B<sub>4</sub>O<sub>7</sub>:RE compounds was carried out using a multi-step heating process that follows the reaction sequence [<xref ref-type="bibr" rid="B39">39</xref>, <xref ref-type="bibr" rid="B41">41</xref>]:</p>
<disp-formula id="E1"><mml:math id="M1"><mml:mtable columnalign='left'><mml:mtr><mml:mtd><mml:msub><mml:mtext>Li</mml:mtext><mml:mtext>2</mml:mtext></mml:msub><mml:msub><mml:mtext>CO</mml:mtext><mml:mtext>3</mml:mtext></mml:msub><mml:msub><mml:mtext>+H</mml:mtext><mml:mtext>3</mml:mtext></mml:msub><mml:msub><mml:mtext>BO</mml:mtext><mml:mtext>3</mml:mtext></mml:msub><mml:mo stretchy='false'>(</mml:mo><mml:msup><mml:mtext>150</mml:mtext><mml:mo>&#x000B0;</mml:mo></mml:msup><mml:mtext>C</mml:mtext><mml:mo>,</mml:mo><mml:msub><mml:mtext>H</mml:mtext><mml:mtext>2</mml:mtext></mml:msub><mml:mtext>O</mml:mtext><mml:mo>&#x02191;</mml:mo><mml:mo stretchy='false'>)</mml:mo></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mtext>&#x02003;&#x02003;&#x02003;&#x02003;&#x02003;&#x02003;&#x02003;</mml:mtext><mml:mo>&#x02192;</mml:mo><mml:msub><mml:mtext>Li</mml:mtext><mml:mtext>2</mml:mtext></mml:msub><mml:msub><mml:mtext>CO</mml:mtext><mml:mtext>3</mml:mtext></mml:msub><mml:mtext>+</mml:mtext><mml:mi>&#x003B1;</mml:mi><mml:msub><mml:mtext>-HBO</mml:mtext><mml:mtext>2</mml:mtext></mml:msub><mml:mo stretchy='false'>(</mml:mo><mml:msup><mml:mtext>250</mml:mtext><mml:mo>&#x000B0;</mml:mo></mml:msup><mml:mtext>C</mml:mtext><mml:mo>,</mml:mo><mml:msub><mml:mtext>H</mml:mtext><mml:mtext>2</mml:mtext></mml:msub><mml:mtext>O</mml:mtext><mml:mo stretchy='false'>)</mml:mo><mml:mo>&#x02192;</mml:mo></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mtext>&#x02003;&#x02003;&#x02003;&#x02003;&#x02003;&#x02003;&#x02003;</mml:mtext><mml:mo>&#x02192;</mml:mo><mml:msub><mml:mtext>Li</mml:mtext><mml:mtext>2</mml:mtext></mml:msub><mml:msub><mml:mtext>CO</mml:mtext><mml:mtext>3</mml:mtext></mml:msub><mml:msub><mml:mtext>+B</mml:mtext><mml:mtext>2</mml:mtext></mml:msub><mml:msub><mml:mtext>O</mml:mtext><mml:mtext>3</mml:mtext></mml:msub><mml:mo stretchy='false'>(</mml:mo><mml:msup><mml:mtext>600</mml:mtext><mml:mo>&#x000B0;</mml:mo></mml:msup><mml:mtext>C</mml:mtext><mml:mo>,</mml:mo><mml:msub><mml:mtext>CO</mml:mtext><mml:mtext>2</mml:mtext></mml:msub><mml:mo stretchy='false'>)</mml:mo><mml:mo>&#x02192;</mml:mo></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mtext>&#x02003;&#x02003;&#x02003;&#x02003;&#x02003;&#x02003;&#x02003;</mml:mtext><mml:mo>&#x02192;</mml:mo><mml:msub><mml:mtext>Li</mml:mtext><mml:mtext>2</mml:mtext></mml:msub><mml:msub><mml:mtext>B</mml:mtext><mml:mtext>4</mml:mtext></mml:msub><mml:msub><mml:mtext>O</mml:mtext><mml:mtext>7</mml:mtext></mml:msub><mml:mtext>+</mml:mtext><mml:mo stretchy='false'>[</mml:mo><mml:msub><mml:mtext>Li</mml:mtext><mml:mtext>2</mml:mtext></mml:msub><mml:msub><mml:mtext>CO</mml:mtext><mml:mtext>3</mml:mtext></mml:msub><mml:msub><mml:mtext>+B</mml:mtext><mml:mtext>2</mml:mtext></mml:msub><mml:msub><mml:mtext>O</mml:mtext><mml:mtext>3</mml:mtext></mml:msub><mml:mo stretchy='false'>]</mml:mo><mml:mo>&#x02192;</mml:mo></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mtext>&#x02003;&#x02003;&#x02003;&#x02003;&#x02003;&#x02003;&#x02003;</mml:mtext><mml:mo>&#x02192;</mml:mo><mml:mo stretchy='false'>(</mml:mo><mml:msup><mml:mtext>800</mml:mtext><mml:mo>&#x000B0;</mml:mo></mml:msup><mml:mtext>C</mml:mtext><mml:mo>,</mml:mo><mml:msub><mml:mtext>CO</mml:mtext><mml:mtext>2</mml:mtext></mml:msub><mml:mo stretchy='false'>)</mml:mo><mml:mo>&#x02192;</mml:mo></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mtext>&#x02003;&#x02003;&#x02003;&#x02003;&#x02003;&#x02003;&#x02003;</mml:mtext><mml:mo>&#x02192;</mml:mo><mml:msub><mml:mtext>Li</mml:mtext><mml:mtext>2</mml:mtext></mml:msub><mml:msub><mml:mtext>B</mml:mtext><mml:mtext>4</mml:mtext></mml:msub><mml:msub><mml:mtext>O</mml:mtext><mml:mtext>7</mml:mtext></mml:msub></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<p>The Nd, Gd, Dy, and Er impurities were added as RE<sub>2</sub>O<sub>3</sub> (RE&#x0003D; Nd, Gd, Dy, and Er) in amounts of 0.5 and 1.0 mol. %. Large doped glasses were obtained by fast cooling of the corresponding melt that was heated more than 100 K higher than the melting temperature for excluding the crystallization processes. Samples were cut for optical measurements and polished to a size of approximately 5 &#x000D7; 3 &#x000D7; 2 mm<sup>3</sup>.</p>
<p>Optical absorption spectra were recorded at room temperature with a Varian spectrophotometer (model 5E UV&#x02013;VIS&#x02013;NIR). Emission and luminescence excitation spectra were acquired with a Dongwoo (model DM711) scanning system consisting of an excitation monochromator with 150 mm focal length and emission monochromator having 750 mm focal length equipped with a photomultiplier and an InGaAs detector.</p>
<p>The Li<sub>2</sub>B<sub>4</sub>O<sub>7</sub>:RE extended X-ray absorption fine structure (EXAFS) spectra were measured using a double crystal monochromator of Lemonnier type [<xref ref-type="bibr" rid="B56">56</xref>] at the DCM and WDCM beamlines located at the Center for Advanced Microstructures and Devices (CAMD) [<xref ref-type="bibr" rid="B57">57</xref>&#x02013;<xref ref-type="bibr" rid="B59">59</xref>]. Due to the thickness of the glass samples and low dopant concentrations (nominally 1%), the absorption spectra were measured in fluorescence mode and the spectra analyzed without self-absorption corrections. For all samples, the L3 (2<italic>p</italic><sub>3/2</sub>) edge fluorescence was measured corresponding to the M5-L3 (3<italic>d</italic><sub>5/2</sub>&#x02013;2<italic>p</italic><sub>3/2</sub>) transition and was found to be in reasonable agreement with expectations [<xref ref-type="bibr" rid="B60">60</xref>].</p>
<p>The EXAFS spectra were analyzed in two different ways. First, the spectra were analyzed using standard procedures with the IFEFFIT tool suite and FEFF 6 [<xref ref-type="bibr" rid="B61">61</xref>&#x02013;<xref ref-type="bibr" rid="B65">65</xref>]. This consisted of isolating the EXAFS signal, converting to <italic>k</italic>-space, then using the Fourier transform to determine the average coordination number and element-type around the rare earth dopants, as detailed elsewhere for other doped Li<sub>2</sub>B<sub>4</sub>O<sub>7</sub> crystals [<xref ref-type="bibr" rid="B66">66</xref>] and glasses [<xref ref-type="bibr" rid="B67">67</xref>]. The second method of analysis employed the use of a Latin hyper-cube sampling (LHS) routine and the scattering code FEFF 9 for phase shifts and backscattering amplitudes. This code was developed as a bridge between a Monte Carlo modeling approach and traditional EXAFS fitting and is a more recent development. The power of this latter approach lies in the ability to cover a very large parameter space in modeling the experimental data and locating false minima in the fits to the data. The results of both analysis methods are generally in agreement, although the Latin hyper cube (LHS) approach is computationally faster.</p>
<p>Despite the glassy nature of the samples that may result in positional disorder around the RE dopant, the model used for fitting the EXAFS was based on the known crystal structure (Figure <xref ref-type="fig" rid="F1">1</xref>) of Li<sub>2</sub>B<sub>4</sub>O<sub>7</sub> [<xref ref-type="bibr" rid="B49">49</xref>; <xref ref-type="bibr" rid="B55">55</xref>, <xref ref-type="bibr" rid="B68">68</xref>&#x02013;<xref ref-type="bibr" rid="B69">69</xref>]. This was an appropriate starting point for analyzing EXAFS spectra that will on average reflect the coordinating environment, including an average distance to the first shell and an average coordination number. As it is hypothesized that the rare earth dopants will substitutionally dope for the Li<sup>&#x0002B;</sup> atoms, starting with the crystalline model and then adjusting the O environment to reflect the average coordinating environment makes the most sense. Furthermore, due to the low Z nature of the glassy matrix, it is expected that the photoelectric backscattering signal will be very weak beyond the first shell, unless there is significant dopant clustering in the material, which would result in a detectable RE-RE scattering shell.</p>
<fig id="F1" position="float">
<label>Figure 1</label>
<caption><p><bold>The undoped lithium tetraborate unit cell</bold>. The 104-atom-unit cell consists of bridging BO<sub>3</sub> and BO<sub>4</sub> complexes [<xref ref-type="bibr" rid="B63">63</xref>, <xref ref-type="bibr" rid="B64">64</xref>], with Li<sup>&#x0002B;</sup> ions distributed throughout.</p></caption>
<graphic xlink:href="fphy-02-00031-g0001.tif"/>
</fig>
</sec>
<sec>
<title>Optical absorption and luminescence</title>
<p>High-quality scintillation is dependent upon significant quantum efficiency while retaining optical transparency [<xref ref-type="bibr" rid="B27">27</xref>, <xref ref-type="bibr" rid="B43">43</xref>&#x02013;<xref ref-type="bibr" rid="B47">47</xref>]. For energies less than 3.3 eV (wave lengths longer than 375 nm) the absorption is low [<xref ref-type="bibr" rid="B26">26</xref>, <xref ref-type="bibr" rid="B27">27</xref>, <xref ref-type="bibr" rid="B49">49</xref>, <xref ref-type="bibr" rid="B70">70</xref>, <xref ref-type="bibr" rid="B71">71</xref>] and the optical absorption spectra of the investigated glasses are dominated by absorption bands of the Nd<sup>3&#x0002B;</sup>, Gd<sup>3&#x0002B;</sup>, Dy<sup>3&#x0002B;</sup>, and Er<sup>3&#x0002B;</sup> centers and can be generally assigned to the appropriate electronic <italic>f</italic> to <italic>f</italic> transitions, as illustrated for the doped Li<sub>2</sub>B<sub>4</sub>O<sub>7</sub>:Nd glass in Figure <xref ref-type="fig" rid="F2">2</xref>.</p>
<fig id="F2" position="float">
<label>Figure 2</label>
<caption><p><bold>The optical absorption spectrum of Nd<sup>3&#x0002B;</sup> centers in Li<sub>2</sub>B<sub>4</sub>O<sub>7</sub>:Nd glass</bold>.</p></caption>
<graphic xlink:href="fphy-02-00031-g0002.tif"/>
</fig>
<p>Although the luminescence emission spectra are characteristic of the <italic>f</italic> to <italic>f</italic> transitions of the &#x0002B;3 rare earth ions, the effect of the host matrix plays a role. In the case of the Nd<sup>3&#x0002B;</sup> centers, where four characteristic <italic>f</italic> to <italic>f</italic> transition bands due to the <sup>4</sup>F<sub>3/2</sub> &#x02192; <sup>4</sup>I<sub>9/2</sub>, <sup>4</sup>F<sub>3/2</sub> &#x02192; <sup>4</sup>I<sub>11/2</sub>, <sup>4</sup>F<sub>3/2</sub> &#x02192; <sup>4</sup>I<sub>13/2</sub>, and the <sup>4</sup>F<sub>3/2</sub> &#x02192; <sup>4</sup>I<sub>15/2</sub> dipole transitions (some shown in Figure <xref ref-type="fig" rid="F3">3</xref>) combine to provide a net quantum efficiency of 24%, inhomogeneous broadening of spectral lines does occur [<xref ref-type="bibr" rid="B72">72</xref>, <xref ref-type="bibr" rid="B73">73</xref>]. We know that the rare earth states will couple to the host matrix, as clearly demonstrated for rare earth doped GaN [<xref ref-type="bibr" rid="B74">74</xref>]. As with prior studies [<xref ref-type="bibr" rid="B41">41</xref>], the rare earth ions are placed in the Li<sup>&#x0002B;</sup> site but there is positional disorder of the RE<sup>3&#x0002B;</sup> luminescence centers in the Li<sup>&#x0002B;</sup> sites of the Li<sub>2</sub>B<sub>4</sub>O<sub>7</sub> lattice and this is characterized by slightly different spectroscopic parameters compared to other rare earth doped borates and crystalline counterparts. EXAFS studies of the L3 edge indicate that the local structure (first coordination shell) around the rare earth ions in glassy lithium tetraborate samples is closely similar. This similar result was observed in the EXAFS study of rare earth impurities on crystal and glass samples of the CaO&#x02013;Ga<sub>2</sub>O<sub>3</sub>&#x02013;GeO<sub>2</sub> system [<xref ref-type="bibr" rid="B75">75</xref>]. The structural studies must be understood in this context.</p>
<fig id="F3" position="float">
<label>Figure 3</label>
<caption><p><bold>The luminescence emission spectrum of Nd<sup>3&#x0002B;</sup> in Li<sub>2</sub>B<sub>4</sub>O<sub>7</sub>:Nd glass</bold>.</p></caption>
<graphic xlink:href="fphy-02-00031-g0003.tif"/>
</fig>
</sec>
<sec>
<title>Extended X-ray absorption fine structure</title>
<p>In Figure <xref ref-type="fig" rid="F4">4</xref>, the normalized experimental XAFS signal is plotted for Li<sub>2</sub>B<sub>4</sub>O<sub>7</sub>:Nd. All the rare earth doped samples of this study, Li<sub>2</sub>B<sub>4</sub>O<sub>7</sub>:Nd, Li<sub>2</sub>B<sub>4</sub>O<sub>7</sub>:Gd, Li<sub>2</sub>B<sub>4</sub>O<sub>7</sub>:Dy, and Li<sub>2</sub>B<sub>4</sub>O<sub>7</sub>:Er, have very similar XAFS spectra (Figure <xref ref-type="fig" rid="F4">4</xref> inset), including the presence of the sharp white line: a strong feature just above the absorption edge. The measured L3 edge for the Li<sub>2</sub>B<sub>4</sub>O<sub>7</sub>:Nd was determined to be 6212 eV by identifying the inflection point on the rising photoelectric edge, or about 4 eV greater than the expected 6208 eV [<xref ref-type="bibr" rid="B60">60</xref>]. This shift in the dopant core level absorption edge is typical of lithium tetraborate and in some cases has been attributed to the large band gap of this oxide, even when doped [<xref ref-type="bibr" rid="B66">66</xref>] (although such a shift is commonly related to the charge on the absorbing element &#x02013; a rare earth in this case). This shift in the L3 absorption edge is similar for all the data obtained for all four of the rare earth doped Li<sub>2</sub>B<sub>4</sub>O<sub>7</sub> glass samples.</p>
<fig id="F4" position="float">
<label>Figure 4</label>
<caption><p><bold>X-ray absorption fine structure spectrum of Li<sub>2</sub>B<sub>4</sub>O<sub>7</sub>:Nd</bold>. The absorption coefficient was measured for the L3 edge from 100 eV below the edge to approximately 500 eV above the edge. In addition to the X-ray absorption fine structure, a vertical line is shown at 6208 eV, which is at a smaller value than the experimental edge found to be 6212 eV. In the inset, the X-ray absorption fine structure spectra for all four samples (Nd, Gd, Dy, and Er) are plotted, shifted by their absorption edge energies so that they are centered at 0 eV to compare them directly.</p></caption>
<graphic xlink:href="fphy-02-00031-g0004.tif"/>
</fig>
<p>In Figure <xref ref-type="fig" rid="F5">5</xref>, the experimental EXAFS spectra have been extracted from the data in Figure <xref ref-type="fig" rid="F4">4</xref>, taken above the rare earth dopant L3 edge, have been replotted as a function of wave vector <italic>k</italic> for the Li<sub>2</sub>B<sub>4</sub>O<sub>7</sub>:Nd, Li<sub>2</sub>B<sub>4</sub>O<sub>7</sub>:Gd, Li<sub>2</sub>B<sub>4</sub>O<sub>7</sub>:Dy, and Li<sub>2</sub>B<sub>4</sub>O<sub>7</sub>:Er glass samples. In all cases, the EXAFS is evident up to approximately 6 &#x000C5;<sup>&#x02212;1</sup> and is similar for the rare earth doped lithium tetraborate samples studied, with only small shifts. The signal-to-noise in the EXAFS spectra deteriorate with wave vectors greater than about 7.5 &#x000C5;<sup>&#x02212;1</sup> as is expected for glassy samples when the host matrix about the dopant consists primarily of low Z material [<xref ref-type="bibr" rid="B55">55</xref>, <xref ref-type="bibr" rid="B67">67</xref>]. The energy range available for the various EXAFS spectra is limited by the presence of the L2 edge; hence, higher Z elements have a wider EXAFS energy range.</p>
<fig id="F5" position="float">
<label>Figure 5</label>
<caption><p><bold>The <italic>k</italic><sup>2</sup> weighted extended X-ray absorption fine structure taken above the L3 rare earth dopant edge for Li<sub>2</sub>B<sub>4</sub>O<sub>7</sub>:Nd, Li<sub>2</sub>B<sub>4</sub>O<sub>7</sub>:Gd, Li<sub>2</sub>B<sub>4</sub>O<sub>7</sub>:Dy and Li<sub>2</sub>B<sub>4</sub>O<sub>7</sub>:Er</bold>.</p></caption>
<graphic xlink:href="fphy-02-00031-g0005.tif"/>
</fig>
<p>The rare earth doped lithium tetraborates are very similar in structure, as is evident from the EXAFS spectra in Figure <xref ref-type="fig" rid="F5">5</xref>. The similarity in the EXAFS features for all the samples is an indication that the rare earths dope the Li<sub>2</sub>B<sub>4</sub>O<sub>7</sub> lattice in a similar fashion. This is expected, as nearly all lanthanides adopt the &#x0002B;3 valence state [<xref ref-type="bibr" rid="B27">27</xref>&#x02013;<xref ref-type="bibr" rid="B47">47</xref>]. In spite of the similarities of the spectra obtained for the Li<sub>2</sub>B<sub>4</sub>O<sub>7</sub>:Nd, Li<sub>2</sub>B<sub>4</sub>O<sub>7</sub>:Gd, Li<sub>2</sub>B<sub>4</sub>O<sub>7</sub>:Dy, and Li<sub>2</sub>B<sub>4</sub>O<sub>7</sub>:Er glass samples, there are small shifts in wave vector placement of the EXAFS oscillations with increasing atomic number. This characteristic shift in the EXAFS features corresponds to smaller bond lengths with increasing atomic number (lanthanide contraction); larger wave vector components correspond to smaller bond lengths in the Fourier transformation to <italic>R</italic>-space.</p>
<p>The reliability of the structural information from our EXAFS data is limited in scope to the first coordination shell due to the signal-to-noise deterioration. Furthermore, the structural information is an indication of the average environment due to the glassy nature of the lithium tetraborate host. The Fourier transformed EXAFS spectrum for Li<sub>2</sub>B<sub>4</sub>O<sub>7</sub>:Nd is plotted in Figure <xref ref-type="fig" rid="F6">6</xref>. The Fourier transformed EXAFS is typical for all the rare earth doped glass samples studied: Li<sub>2</sub>B<sub>4</sub>O<sub>7</sub>:Nd, Li<sub>2</sub>B<sub>4</sub>O<sub>7</sub>:Gd, Li<sub>2</sub>B<sub>4</sub>O<sub>7</sub>:Dy, and Li<sub>2</sub>B<sub>4</sub>O<sub>7</sub>:Er. The out-of-phase real and imaginary components of the <italic>R</italic>-space signal (plotted in Figure <xref ref-type="fig" rid="F6">6</xref>) demonstrate the high level of confidence that may be placed in the Fourier transform.</p>
<fig id="F6" position="float">
<label>Figure 6</label>
<caption><p><bold>The Fourier transformed extended X-ray absorption fine structure signal (solid) for Li<sub>2</sub>B<sub>4</sub>O<sub>7</sub>:Nd plotted in Figure <xref ref-type="fig" rid="F5">5</xref></bold>. The real (long dash) and imaginary (small dash) components are plotted to show Fourier transform contributions. In the inset, the Fourier transform imaginary components for Nd, Gd, Dy, and Er are shown. There is a trend from left to right in the inset, with the left most (small dash) line resulting from the Er doped sample and then as the atomic number decreases the peak position moves to longer bond length (Er &#x02192; Dy &#x02192; Gd &#x02192; Nd) with Nd as the right most (solid) line.</p></caption>
<graphic xlink:href="fphy-02-00031-g0006.tif"/>
</fig>
<p>In the inset of Figure <xref ref-type="fig" rid="F6">6</xref>, the imaginary component for the Fourier transforms of the data of Figure <xref ref-type="fig" rid="F5">5</xref> are plotted for all the doped samples. Traditionally, peaks in the imaginary spectra for EXAFS transforms have been correlated to physical distance in the radial distributions. Figure <xref ref-type="fig" rid="F7">7</xref> is provided to show the quality of the EXAFS fit results and is indicative of the RE located substitutionally in a Li<sup>&#x0002B;</sup> site. Although all the fits are not exact, this and the extracted coordination numbers are an indication of multiple interactions being measured coherently. If each interaction was known exactly, then a multiple-FEFF calculation could be made and different weights applied to each in order to determine an exact fit. Figure <xref ref-type="fig" rid="F7">7</xref>, nonetheless, demonstrates that the fits, despite deficiencies, are acceptable for all of the studied doped glass samples. The bond length contraction is noticeable with increasing Z, matching with the inset of Figure <xref ref-type="fig" rid="F6">6</xref>. The fit quality may be determined from the fitting parameters given in Table <xref ref-type="table" rid="T1">1</xref> for both the standard fitting method and using the LHS routine. For this result of the rare earth dopant substituting in a Li<sup>&#x0002B;</sup> site, the greater charge of the RE<sup>3&#x0002B;</sup> dopant may be easily compensated by anion vacancies, (V<sub>Li</sub>)<sup>&#x02212;</sup> and (V<sub>B</sub>)<sup>3&#x02212;</sup>, elsewhere in the glassy matrix.</p>
<fig id="F7" position="float">
<label>Figure 7</label>
<caption><p><bold>Plotted are the R-space Fourier transformed extended X-ray absorption fine structure signals for Li<sub>2</sub>B<sub>4</sub>O<sub>7</sub>:Nd, Li<sub>2</sub>B<sub>4</sub>O<sub>7</sub>:Gd, Li<sub>2</sub>B<sub>4</sub>O<sub>7</sub>:Dy and Li<sub>2</sub>B<sub>4</sub>O<sub>7</sub>:Er</bold>. The vertical dotted lines indicate the fitting window used for the backward Fourier transform range (1.3&#x02013;4 &#x000C5;). The primary peak is the first coordination shell, comprised of O atoms.</p></caption>
<graphic xlink:href="fphy-02-00031-g0007.tif"/>
</fig>
<table-wrap position="float" id="T1">
<label>Table 1</label>
<caption><p><bold>Tabulated are the final fit parameters for the four rare earths analyzed including coordination number N, extracted photoelectric edge shift E<sub>o</sub>, the first shell bond length <italic>R</italic>(&#x000C5;) and &#x003C3;<sup>2</sup> which is the mean squared displacement in the rare earth to oxygen bond length, often referred to as the EXAFS Debye-Waller factor</bold>.</p></caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top"><bold>Coord. Shell</bold></th>
<th align="center" valign="top"><bold><italic>N</italic> (atoms)</bold></th>
<th align="center" valign="top"><bold>E<sub>o</sub> (eV)</bold></th>
<th align="center" valign="top"><bold><italic>R</italic> (&#x000C5;)</bold></th>
<th align="center" valign="top"><bold>&#x003C3;<sup>2</sup> (&#x000C5;)</bold></th>
<th align="left" valign="top"><bold>Procedure</bold></th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top">Nd-O</td>
<td align="center" valign="top">8.32 &#x000B1; 0.58</td>
<td align="center" valign="top">3.14 &#x000B1; 1.90</td>
<td align="center" valign="top">2.47 &#x000B1; 0.03</td>
<td align="center" valign="top">0.014 &#x000B1; 0.007</td>
<td align="left" valign="top">Standard</td>
</tr>
<tr>
<td/>
<td align="left" valign="top">8.61 &#x000B1; 0.01</td>
<td align="center" valign="top">0.42 &#x000B1; 0.20</td>
<td align="center" valign="top">2.48 &#x000B1; 0.03</td>
<td align="center" valign="top">0.010 &#x000B1; 0.001</td>
<td align="left" valign="top">LHS</td>
</tr>
<tr>
<td align="left" valign="top">Gd-O</td>
<td align="center" valign="top">7.26 &#x000B1; 0.56</td>
<td align="center" valign="top">&#x02212;1.98 &#x000B1; 2.06</td>
<td align="center" valign="top">2.37 &#x000B1; 0.03</td>
<td align="center" valign="top">0.011 &#x000B1; 0.002</td>
<td align="left" valign="top">Standard</td>
</tr>
<tr>
<td/>
<td align="center" valign="top">8.03 &#x000B1; 0.26</td>
<td align="center" valign="top">&#x02212;2.55 &#x000B1; 0.62</td>
<td align="center" valign="top">2.36 &#x000B1; 0.01</td>
<td align="center" valign="top">0.009 &#x000B1; 0.001</td>
<td align="left" valign="top">LHS</td>
</tr>
<tr>
<td align="left" valign="top">Dy-O</td>
<td align="center" valign="top">7.56 &#x000B1; 0.66</td>
<td align="center" valign="top">1.24 &#x000B1; 1.98</td>
<td align="center" valign="top">2.34 &#x000B1; 0.03</td>
<td align="center" valign="top">0.012 &#x000B1; 0.002</td>
<td align="left" valign="top">Standard</td>
</tr>
<tr>
<td/>
<td align="center" valign="top">7.90 &#x000B1; 0.12</td>
<td align="center" valign="top">0.25 &#x000B1; 0.19</td>
<td align="center" valign="top">2.35 &#x000B1; 0.00</td>
<td align="center" valign="top">0.010 &#x000B1; 0.001</td>
<td align="left" valign="top">LHS</td>
</tr>
<tr>
<td align="left" valign="top">Er-O</td>
<td align="center" valign="top">7.00 &#x000B1; 0.42</td>
<td align="center" valign="top">2.54 &#x000B1; 1.40</td>
<td align="center" valign="top">2.32 &#x000B1; 0.02</td>
<td align="center" valign="top">0.009 &#x000B1; 0.003</td>
<td align="left" valign="top">Standard</td>
</tr>
<tr>
<td/>
<td align="center" valign="top">7.94 &#x000B1; 0.04</td>
<td align="center" valign="top">0.96 &#x000B1; 0.17</td>
<td align="center" valign="top">2.31 &#x000B1; 0.00</td>
<td align="center" valign="top">0.008 &#x000B1; 0.000</td>
<td align="left" valign="top">LHS</td>
</tr>
<tr>
<td align="left" valign="top">Nd-O (BO<sub>3</sub> model)</td>
<td align="center">3</td>
<td align="center" valign="top">30.9 &#x000B1; 0.05</td>
<td align="center" valign="top">1.92 &#x000B1; 0.03</td>
<td align="center" valign="top">0.003 &#x000B1; 0.005</td>
<td align="left" valign="top">Standard</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p><italic>The analysis procedures used are indicated: application of the FEFF 6 scattering codes [<xref ref-type="bibr" rid="B56">56</xref>&#x02013;<xref ref-type="bibr" rid="B61">61</xref>] (standard) or the Latin hyper cube sampling (LHS) approach. Errors in the &#x0201C;Standard&#x0201D; are from diagonals of the correlation matrix used in the non-linear regression routine. Errors in the LHS approach are the standard deviations</italic>.</p>
</table-wrap-foot>
</table-wrap>
<p>Due to the size and oxygen coordination number of the rare earths, placement of a rare earth dopant in the B complexes can almost immediately be excluded. A rare earth substitution for the B atom sites would result in a very large distortion of the lithium tetraborate lattice that does not fit with our experimental EXAFS data. Table <xref ref-type="table" rid="T1">1</xref> supports our position as to why a rare earth in a B substitution site can be neglected. To have a rare earth substitute for B in either the BO<sub>3</sub> or BO<sub>4</sub> clusters would result in coordination numbers of 3 and 4, less than the observed 7&#x02013;10 oxygen coordination obtained from the EXAFS data. The RE-O bond length is reduced if placed in a boron site, even in the best fit to the EXAFS data. In the case for Nd, the Nd-O bond length is 1.92 &#x000C5; for a boron site, still significantly less than the 2.7 &#x000C5; observed, but this fit (Table <xref ref-type="table" rid="T1">1</xref>) to the EXAFS data requires an unphysical shift in the adsorption edge, as discussed below in the context of our near edge X-ray absorption experimental data. It is noteworthy that for Nd substituting for boron in the BO<sub>3</sub> structure, the fit to the EXAFS data would still require a expansion of the bonding distance from the B-O approximately 1.3&#x02013;1.9 &#x000C5;, which would greatly distort the interlocking BO<sub>3</sub>-BO<sub>4</sub> portions of the unit cell. In general, substituting a rare earth element such as Nd with a radius of roughly 1.123 &#x000C5; with a coordination number of 6 into a site where the B<sup>3&#x0002B;</sup> radius is, on average, 0.15&#x02013;0.25 &#x000C5; for oxygen coordination numbers of 3 and 4 respectively, is unphysical. Substituting a rare earth element, such as Nd, in a manner that would in a way that would result in a bond length of 1.273 to 1.373 &#x000C5;, so as to achieve less distortion of the interlocking BO<sub>3</sub>-BO<sub>4</sub> portions of the unit cell, is possible only if we ignore the obvious problem of coordination number mismatch and the very large resulting charge distributions, as partly elaborated by theory below.</p>
</sec>
<sec>
<title>X-ray absorption near edge structure</title>
<p>In Figure <xref ref-type="fig" rid="F8">8</xref>, the experimental X-ray absorption near edge structure (XANES) region for Li<sub>2</sub>B<sub>4</sub>O<sub>7</sub>:Nd has been plotted in more detail than in Figure <xref ref-type="fig" rid="F4">4</xref>. The solid black line is the experimental data and the dotted red line is the theoretical calculation using FEFF 9.05 and full metal scattering with a cluster size of 5.1 &#x000C5; and a small convergence factor of 0.05. The Hedin-Lundqvist to ground state exchange correlation was used.</p>
<fig id="F8" position="float">
<label>Figure 8</label>
<caption><p><bold>Plotted is the experimental data (solid black line) for Li<sub>2</sub>B<sub>4</sub>O<sub>7</sub>:Nd in the nominal X-ray absorption near edge structure region</bold>. FEFF 9.05 has been used to calculate a theoretical X-ray absorption near edge structure spectrum (red dotted line) using full multiple scattering. The theory has been shifted to higher binding energy by 2.8 eV (reflective of the &#x0002B;3 charge of the Nd dopant).</p></caption>
<graphic xlink:href="fphy-02-00031-g0008.tif"/>
</fig>
<p>Peak fitting to the XANES data was accomplished by using an arctangent function to represent the bare atom absorption background and two Voigt functions to fit the peaks. The results are listed in Table <xref ref-type="table" rid="T2">2</xref>. Two broad peaks are identified in the XANES spectra; one at approximately 4.00 eV beyond the experimentally determined core binding energy (6212 eV) and the other at approximately 37.57 eV above the core L3 edge. A similar peak structure is observed in a rare earth oxygen environment in Joseph et al. [<xref ref-type="bibr" rid="B76">76</xref>], where the broad peak at around 35 eV has been associated with nearest neighbor scattering. The other rare earth doped glass samples Li<sub>2</sub>B<sub>4</sub>O<sub>7</sub>:Gd, Li<sub>2</sub>B<sub>4</sub>O<sub>7</sub>:Dy, and Li<sub>2</sub>B<sub>4</sub>O<sub>7</sub>:Er provide similar results in spite of the differences in the placement of the L3 edge. Additionally, using the Nd doped sample as a reference, the total yields of each of the respective peaks were compared to one another and indicate similar absorption. If the total area/yield is associated with an unoccupied density of states, then there is no detectable (at least in these sample conditions) difference between the doped samples. In fact, compared to the yield, the first peak has an average ratio of 1.04 and the second 0.99, hovering just around 1 and indicating that the electronic density of states are nearly the same for all of the rare earth doped glass samples. This conclusion is consistent with strong hybridization of the unoccupied rare earth 5d states with the host Li<sub>2</sub>B<sub>4</sub>O<sub>7</sub> and thus consistent with our model electronic structure calculations discussed below.</p>
<table-wrap position="float" id="T2">
<label>Table 2</label>
<caption><p><bold>Tabulated are the results for fitting the XANES region of the doped samples with an arctangent function and two Voigt functions</bold>.</p></caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top"><bold>Dopant</bold></th>
<th align="center" valign="top"><bold>Peak 1&#x02013;E<sub>o</sub> (eV)</bold></th>
<th align="center" valign="top"><bold>Peak 2&#x02013;E<sub>o</sub> (eV)</bold></th>
<th align="center" valign="top"><bold>Peak 1/Nd yield ratio</bold></th>
<th align="center" valign="top"><bold>Peak 2/Nd yield ratio</bold></th>
<th align="center" valign="top"><bold>Reduced chi<sup>2</sup></bold></th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top">Nd</td>
<td align="center" valign="top">2.22 (6.71)</td>
<td align="center" valign="top">35.93 (15.24)</td>
<td align="center" valign="top">1.00</td>
<td align="center" valign="top">1.00</td>
<td align="center" valign="top">1.64</td>
</tr>
<tr>
<td align="left" valign="top">Gd</td>
<td align="center" valign="top">1.76 (6.65)</td>
<td align="center" valign="top">37.46 (16.54)</td>
<td align="center" valign="top">1.08</td>
<td align="center" valign="top">1.07</td>
<td align="center" valign="top">2.13</td>
</tr>
<tr>
<td align="left" valign="top">Dy</td>
<td align="center" valign="top">1.86 (6.97)</td>
<td align="center" valign="top">36.75 (14.95)</td>
<td align="center" valign="top">0.98</td>
<td align="center" valign="top">0.98</td>
<td align="center" valign="top">1.91</td>
</tr>
<tr>
<td align="left" valign="top">Er</td>
<td align="center" valign="top">2.19 (7.16)</td>
<td align="center" valign="top">39.00 (14.87)</td>
<td align="center" valign="top">1.07</td>
<td align="center" valign="top">0.93</td>
<td align="center" valign="top">1.42</td>
</tr>
<tr>
<td align="left" valign="top">Average</td>
<td align="center" valign="top">2.00</td>
<td align="center" valign="top">37.57</td>
<td align="center" valign="top">1.04</td>
<td align="center" valign="top">0.99</td>
<td/>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p><italic>The &#x0201C;error&#x0201D; given in parenthesis in the Peak 1 and Peak 2 shifts from the inflection point (E<sub>o</sub>), are the full width half maximums FWHM</italic>.</p>
</table-wrap-foot>
</table-wrap>
<p>For rare earth materials where the rare earth atom is in the &#x0002B;3 valence state, the XANES spectra have a single peak white line, whereas for RE elements that adopt the &#x0002B;4 valence state (e.g., Ce and Pr), the XANES spectra typically have a double peaked white line which occurs due to additional interactions with the ligand environment [<xref ref-type="bibr" rid="B77">77</xref>]. In this case, as has been discussed at length in other rare earth dopant systems literature [<xref ref-type="bibr" rid="B74">74</xref>, <xref ref-type="bibr" rid="B76">76</xref>&#x02013;<xref ref-type="bibr" rid="B82">82</xref>], the <italic>p</italic> &#x02192; <italic>s</italic> and <italic>p</italic> &#x02192; <italic>d</italic> transitions should be stronger than <italic>p</italic> &#x02192; <italic>f</italic>, although the latter is not strictly forbidden if there is strong 4<italic>f</italic> state hybridization with the unoccupied band structure [<xref ref-type="bibr" rid="B74">74</xref>, <xref ref-type="bibr" rid="B81">81</xref>&#x02013;<xref ref-type="bibr" rid="B83">83</xref>]. In this case, the large white line peak may be associated with 2p &#x02192; 5d transitions, typical of the &#x0002B;3 rare earth ion and similar to the Eu in doped borate glasses as in Shimizugawa et al. [<xref ref-type="bibr" rid="B78">78</xref>]. Placement of a rare earth (e.g., Nd) in a boron site, in the most realistic fit to the EXAFS data (as noted above), presents a huge problem for the XANES data. Such a placement of the rare earth would require an absorption edge shift of about 30 eV instead of the roughly 0 to 3 eV for substitution into a lithium site (Table <xref ref-type="table" rid="T1">1</xref>), and it is the latter that is close to the 4 eV absorption edge shift observed, as seen in Figure <xref ref-type="fig" rid="F4">4</xref>.</p>
</sec>
<sec>
<title>Density functional theory studies of RE doped lithium tetraborate</title>
<p>To better ascertain the role the host matrix does play in the <italic>f</italic> to <italic>f</italic> transitions of the &#x0002B;3 rare earth ions in doped lithium tetraborate, we modeled the electron structure of Li<sub>2</sub>B<sub>4</sub>O<sub>7</sub> doped with Nd, Gd, Dy, Er and Yb. Our calculations are carried out within density function theory (DFT) as implemented in the CASTEP software [<xref ref-type="bibr" rid="B84">84</xref>]. The plane wave basis set with an energy cutoff around 360 eV, an ultra-soft pseudopotential, and the local density approximation for the generalized gradient approximation (GGA) and Perdew-Burke-Ernzerhof (PBE) exchange and correlation functional are employed [<xref ref-type="bibr" rid="B85">85</xref>]. The DFT&#x0002B;U method was used for the corrections of on-site Coulomb interactions with <italic>U</italic> &#x0003D; 6 eV. These computational conditions were previously found to be successful with rare earth doped GaN studies [<xref ref-type="bibr" rid="B74">74</xref>]. In addition, we utilize the ensemble density functional theory (EDFT) [<xref ref-type="bibr" rid="B86">86</xref>, <xref ref-type="bibr" rid="B87">87</xref>] scheme in CASTEP to overcome the convergence problem inherited in the RE system. In the Da Silva et al. [<xref ref-type="bibr" rid="B88">88</xref>], density functional theory calculations for CeO<sub>2</sub> and Ce<sub>2</sub>O<sub>3</sub> found that Perdew-Burke-Ernzerhof plus a scalar Hubbard U approach (PBE&#x0002B;U) worked reasonably well, with results similar to the Heyd-Scuseria-Ernzerhof hybrid functional (HSE). For example, PBE&#x0002B;U and HSE predict CeO<sub>2</sub> to be an insulator with the band gaps 5.3 and 7.0 eV respectively compared to the experimental value of 6.0 eV. The calculated the energy difference between the lowest 4<italic>f</italic> state and the vacant conduction band (E<sub>g&#x02212;f</sub>) of Ce<sub>2</sub>O<sub>3</sub> were found to be 2.6 eV (PBE&#x0002B;U) and 2.5 eV (HSE) compared to the experimental value of 2.4 eV [<xref ref-type="bibr" rid="B88">88</xref>]. Our approach is very much the same as that PBE&#x0002B;U approach in the work of Da Silva and coworkers [<xref ref-type="bibr" rid="B88">88</xref>] except we used <italic>U</italic> &#x0003D; 6.0 eV for the 4<italic>f</italic> states of Nd, Gd, Dy, Er, and Yb, instead of the <italic>U</italic> &#x0003D; 4.5 eV for the Ce 4<italic>f</italic> used in Da Silva et al. [<xref ref-type="bibr" rid="B88">88</xref>]. The band gap for undoped lithium tetraborate has been estimated [<xref ref-type="bibr" rid="B89">89</xref>], by the above DFT approach, to be 6.48 eV, much less than the experimental value of 9.8 eV found in combined photoemission and inverse photoemission [<xref ref-type="bibr" rid="B48">48</xref>, <xref ref-type="bibr" rid="B49">49</xref>, <xref ref-type="bibr" rid="B89">89</xref>]. This is not surprising as the band gaps found in density functional theory of Li<sub>2</sub>B<sub>4</sub>O<sub>7</sub> are generally observed to the underestimates of values obtained from combined photoemission and inverse photoemission experiments [<xref ref-type="bibr" rid="B48">48</xref>, <xref ref-type="bibr" rid="B49">49</xref>, <xref ref-type="bibr" rid="B89">89</xref>].</p>
<p>We built a cubic cell of Li<sub>16</sub>B<sub>32</sub>O<sub>56</sub>, as shown in Figure <xref ref-type="fig" rid="F9">9</xref>. Based on our EXAFS results that place the RE dopant in a Li<sup>&#x0002B;</sup> site, one Li<sup>&#x0002B;</sup> atom is then substituted by a Nd, Gd, Dy, Er, or Yb atom, representing 6.25% atomic doping which is much higher than the experimental level, but computationally tractable. Monkhorst-Pack [<xref ref-type="bibr" rid="B90">90</xref>] 2 &#x000D7; 2 &#x000D7; 2, k-points grids were adopted for Brilliouin zone sampling. Geometry optimizations were performed for the coordinates of the atoms and the lattice parameters until the maximum force on the atoms was less than 0.01 eV/&#x000C5;, confirming slight strain in the lattice in the vicinity of the rare earth dopant and dependent on the choice of the rare earth dopant. There is strong evidence of rare earth state hybridizations with the lithium tetraborate host, while the boron and oxygen are connected by valence bonds, but Li and borate are connected through ionic bonding, as is common in density functional calculations of lithium tetraborate [<xref ref-type="bibr" rid="B49">49</xref>&#x02013;<xref ref-type="bibr" rid="B51">51</xref>] and is evident in the overlap of the partial density of states as plotted in Figure <xref ref-type="fig" rid="F10">10</xref>. This indicates that the Li<sup>&#x0002B;</sup> site is also the most reasonable choice for substitutional rare earth dopants, because the borate B<sub>4</sub>O<sub>7</sub> are mostly tied by strong covalent bonds, so a rare earth dopant is very unlikely to replace either B or O. The Li<sup>&#x0002B;</sup>, on the other hand, is bonded to the borate primary through ionic bonds, which is evident from the partial densities of states of Li<sub>2</sub>B<sub>4</sub>O<sub>7</sub>. Thus we feel that it is legitimate to substitute some of the Li<sup>&#x0002B;</sup> by the rare earth atoms. In previous work [<xref ref-type="bibr" rid="B89">89</xref>], we noted that the Mulliken bond population, which is a measure of overlap charges in the chemical bonds [<xref ref-type="bibr" rid="B91">91</xref>, <xref ref-type="bibr" rid="B92">92</xref>] of B-O bond is about 0.58 to 0.82, whereas Li-O bond is less than &#x0003C;0.06. From this one can deduce that the B-O bond is in nature strongly covalent, and Li-O is most likely ionic. The bond lengths of the B-O and Li-O are 1.36&#x02013;1.51 &#x000C5; and 1.97&#x02013;2.46 &#x000C5;, respectively, the latter being a much better fit to the EXAFS data discussed above, for substitutional rare earth doping.</p>
<fig id="F9" position="float">
<label>Figure 9</label>
<caption><p><bold>The schematic of the structural geometry for Li<sub>15</sub>B<sub>32</sub>O<sub>56</sub>RE (RE &#x0003D; Nd, Gd, Dy, Er, or Yb)</bold>. Oxygen (red), boron (gray), lithium (blue), and rare earth (green) are indicated.</p></caption>
<graphic xlink:href="fphy-02-00031-g0009.tif"/>
</fig>
<fig id="F10" position="float">
<label>Figure 10</label>
<caption><p><bold>The band structure and density of states of Li<sub>15</sub>B<sub>32</sub>O<sub>56</sub>Nd (A), Li<sub>15</sub>B<sub>32</sub>O<sub>56</sub>Dy (B), Li<sub>15</sub>B<sub>32</sub>O<sub>56</sub>Er (C), Li<sub>15</sub>B<sub>32</sub>O<sub>56</sub>Yb (D)</bold>. In band structure plots vs. wave vector, spin up is black and spin down is red, while in the density of states plots the rare earth <italic>d</italic> state densities are blue, <italic>f</italic> state densities are red and boron <italic>p</italic> state density is green while the total density of states envelope is black. The density of states are plotted spin resolved.</p></caption>
<graphic xlink:href="fphy-02-00031-g0010.tif"/>
</fig>
<p>In Li<sub>2</sub>B<sub>4</sub>O<sub>7</sub>:Nd (Figure <xref ref-type="fig" rid="F10">10A</xref>) and Li<sub>2</sub>B<sub>4</sub>O<sub>7</sub>:Dy (Figure <xref ref-type="fig" rid="F10">10B</xref>), we observe that nearly all the unoccupied 4<italic>f</italic> levels hybridize with the lithium tetraborate conduction bands. This could explain the similarity of the edge shift uncovered by the Latin hyper cube sampling (LHS) analysis summarized in Table <xref ref-type="table" rid="T1">1</xref> between Nd and Dy doped samples. We find that in Er the 4<italic>f</italic> levels, particularly the spin down component situated at E<sub>F</sub> do not mix with the host lithium tetraborate, whereas at 2&#x02013;4 eV above E<sub>F</sub>, the <italic>f</italic> state population is very low (Figure <xref ref-type="fig" rid="F10">10C</xref>). For Li<sub>2</sub>B<sub>4</sub>O<sub>7</sub>:Yb (Figure <xref ref-type="fig" rid="F10">10D</xref>), there are few unoccupied 4<italic>f</italic> states, which leads to little depletion of the Yb 4<italic>f</italic><sup>14</sup> occupancy, unlike GaN:Yb [<xref ref-type="bibr" rid="B74">74</xref>]. For Nd (Figure <xref ref-type="fig" rid="F10">10A</xref>), Dy (Figure <xref ref-type="fig" rid="F10">10B</xref>), Er (Figure <xref ref-type="fig" rid="F10">10C</xref>), and Yb (Figure <xref ref-type="fig" rid="F10">10D</xref>) there is a significant 4<italic>f</italic> partial density of states that shows up within the lithium tetraborate band gap, but this is not observed for Li<sub>2</sub>B<sub>4</sub>O<sub>7</sub>:Gd. We find that the occupied Gd 4<italic>f</italic> states are embedded deep at the bottom of the valence band of the Li<sub>2</sub>B<sub>4</sub>O<sub>7</sub>:Gd valence band. The differences in the Gd electronic 4<italic>f</italic> state are also reflected in Table <xref ref-type="table" rid="T1">1</xref> from the experimental edge shift E<sub>0</sub> being very different from the other doped samples. Overall we interpret the rare earth 4<italic>f</italic> state placement and the clear rare earth 4<italic>f</italic> hybridization to the lithium tetraborate lattice as contributing to the <italic>f</italic> to <italic>f</italic> transition spectral broadening, similar to our expectations for Er doped GaN due to the strong hybridization of the GaN matrix with the imbedded Er 4<italic>f</italic> states [<xref ref-type="bibr" rid="B74">74</xref>]. Such 4<italic>f</italic> states, as calculated here, do give rise to states within the band gap, not only as plotted in Figure <xref ref-type="fig" rid="F10">10</xref>, but are seen as sharp absorption lines in the transmission spectra at wave lengths greater than 375 nm, as well as reflected in the luminescence spectra of rare earth doped lithium tetraborates [<xref ref-type="bibr" rid="B27">27</xref>, <xref ref-type="bibr" rid="B72">72</xref>, <xref ref-type="bibr" rid="B73">73</xref>].</p>
<p>The correlation U has been applied, as noted, to the rare earth 4<italic>f</italic> orbitals only, the remaining various orbital subset of orbitals may in some cases have applicable correlation energies as well. There is no <italic>a priori</italic> exclusion of multiple correlation energies, nor of wave vector dependence of the various possible correlation energies and such complications might well exist. This could lead to an incomplete (or insufficient) description of orbital hybridization effects including the luminescent and optical properties. In general, the increased hybridization will decrease excited state lifetimes and increase luminescent spectral feature widths, including the <italic>f</italic> to <italic>f</italic> transition spectral features. The contributions to <italic>f</italic> to <italic>f</italic> transition spectral broadening, nonetheless, arising from the strong rare earth hybridization with the lithium tetraborate lattice, are significant even without considering the variations in oxygen coordination, although Li<sub>2</sub>B<sub>4</sub>O<sub>7</sub>:Yb (Figure <xref ref-type="fig" rid="F10">10D</xref>) may be the exception. The variations in oxygen coordination evident from the EXAFS, and expected for a glassy lithium tetraborate, will be even more significant because of the strong rare earth hybridization with the lithium tetraborate lattice, affecting the <italic>f</italic> to <italic>f</italic> transition spectral broadening to a great degree.</p>
</sec>
<sec sec-type="conclusion" id="s3">
<title>Conclusion</title>
<p>Previous studies of rare earth doped lithium tetraborate glasses revealed asymmetry in the RE 4<italic>f</italic> spectral emission lines. In order to determine the source of the spectral line distortion, X-ray absorption fine structure studies were conducted in order to extract the local environment surrounding the rare earth dopants. The near edge absorption spectra data analysis indicates that for all of the rare earth doped samples studied (Li<sub>2</sub>B<sub>4</sub>O<sub>7</sub>:Nd, Li<sub>2</sub>B<sub>4</sub>O<sub>7</sub>:Gd, Li<sub>2</sub>B<sub>4</sub>O<sub>7</sub>:Dy, and Li<sub>2</sub>B<sub>4</sub>O<sub>7</sub>:Er), the dopant substitutes into the Li<sup>&#x0002B;</sup> ion sites as RE<sup>3&#x0002B;</sup>. The empirically determined site was then used to perform a density functional theory calculation and determine the electronic source of the asymmetry in the spectral emission lines.</p>
<p>As a result of the doping, there is a slight expansion of the coordination shells (O and B atoms) that surrounded the original Li<sup>&#x0002B;</sup> atom from approximately 2.0 &#x000C5; to approximately 2.5 &#x000C5;, the exact value depending upon the size of the rare earth. The results for rare earth doped borates compare well with expected bonding distances when compared with rare earth coordination number and atomic radii from Shannon [<xref ref-type="bibr" rid="B93">93</xref>], the radial distributions functions obtained from X-ray diffraction [<xref ref-type="bibr" rid="B55">55</xref>] and consistent with prior EXAFS studies [<xref ref-type="bibr" rid="B66">66</xref>, <xref ref-type="bibr" rid="B67">67</xref>]. The first coordination shell&#x00027;s distance and coordination number (in the range of 6&#x02013;8) (amplitude reduction factor fixed at 0.85) compares well with the expectations for a rare earth oxygen coordination environment and occupation of the Li<sup>&#x0002B;</sup> site. Since these are an average coordination number and coordination distance in the glass samples, it is expected that there are hypo- and hyper- environments throughout the glass that average out.</p>
<p>A qualitative XANES analysis confirms a &#x0002B;3 valence state and is consistent with our theoretical expectations. The resulting density functional theory calculations indicate there is strong hybridization with the unoccupied 4<italic>f</italic> orbitals with the host lithium tetraborate matrix. This hybridization is a likely the source of the spectral emission line distortion observed when the glass oxygen positional disorder is also taken into account.</p>
<sec>
<title>Conflict of interest statement</title>
<p>The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p></sec>
</sec>
</body>
<back>
<ack>
<p>This work was supported by the Nebraska Public Power District through the Nebraska Center for Energy Sciences Research competitive grant program, the Defense Threat Reduction Agency (Grant No. HDTRA1-07-1-0008, HDTRA1-09-1-0060, and BRBAA08-I-2-0128), the NSF through the &#x0201C;QSPINS&#x0201D; MRSEC (DMR-0820521) at UNL. The views expressed in this article are those of the authors and do not reflect the official policy or position of the Air Force, Department of Defense or the U.S. Government.</p>
</ack>
<ref-list>
<title>References</title>
<ref id="B1">
<label>1.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Caruso</surname> <given-names>AN</given-names></name></person-group>. <article-title>The physics of solid-state neutron detector materials and geometries</article-title>. <source>J Phys Condens Matter</source>. (<year>2010</year>) <volume>22</volume>:<fpage>1</fpage>&#x02013;<lpage>32</lpage>. <pub-id pub-id-type="doi">10.1088/0953-8984/22/44/443201</pub-id><pub-id pub-id-type="pmid">21403341</pub-id></citation>
</ref>
<ref id="B2">
<label>2.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Caruso</surname> <given-names>AN</given-names></name> <name><surname>Billa</surname> <given-names>RB</given-names></name> <name><surname>Balaz</surname> <given-names>S</given-names></name> <name><surname>Brand</surname> <given-names>JI</given-names></name> <name><surname>Dowben</surname> <given-names>PA</given-names></name></person-group>. <article-title>The heteroisomeric diode</article-title>. <source>J Phys Condens Matter</source>. (<year>2004</year>) <volume>16</volume>:<fpage>L139</fpage>&#x02013;<lpage>46</lpage>. <pub-id pub-id-type="doi">10.1088/0953-8984/16/10/L04</pub-id></citation>
</ref>
<ref id="B3">
<label>3.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Robertson</surname> <given-names>BW</given-names></name> <name><surname>Adenwalla</surname> <given-names>S</given-names></name> <name><surname>Harken</surname> <given-names>A</given-names></name> <name><surname>Welsch</surname> <given-names>P</given-names></name> <name><surname>Brand</surname> <given-names>JI</given-names></name> <name><surname>Dowben</surname> <given-names>PA</given-names></name> <etal/></person-group>. <article-title>A Class of boron-rich solid-state neutron detectors</article-title>. <source>Appl Phys Lett</source>. (<year>2002</year>) <volume>80</volume>:<fpage>3644</fpage>&#x02013;<lpage>6</lpage>. <pub-id pub-id-type="doi">10.1063/1.1477942</pub-id></citation>
</ref>
<ref id="B4">
<label>4.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Robertson</surname> <given-names>BW</given-names></name> <name><surname>Adenwalla</surname> <given-names>S</given-names></name> <name><surname>Harken</surname> <given-names>A</given-names></name> <name><surname>Welsch</surname> <given-names>P</given-names></name> <name><surname>Brand</surname> <given-names>JI</given-names></name> <name><surname>Claassen</surname> <given-names>JP</given-names></name> <etal/></person-group>. <article-title>Semiconducting boron-rich neutron detectors</article-title>. <source>Proc SPIE</source> (<year>2002</year>) <volume>4785</volume>:<fpage>226</fpage>&#x02013;<lpage>33</lpage>. <pub-id pub-id-type="doi">10.1117/12.453923</pub-id></citation>
</ref>
<ref id="B5">
<label>5.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Adenwalla</surname> <given-names>S</given-names></name> <name><surname>Billa</surname> <given-names>R</given-names></name> <name><surname>Brand</surname> <given-names>JI</given-names></name> <name><surname>Day</surname> <given-names>E</given-names></name> <name><surname>Diaz</surname> <given-names>MJ</given-names></name> <name><surname>Harken</surname> <given-names>A</given-names></name> <etal/></person-group>. <article-title>Semiconducting boron-rich neutron detectors</article-title>. <source>Proc SPIE</source> (<year>2004</year>) <volume>5199</volume>:<fpage>70</fpage>&#x02013;<lpage>74</lpage>. <pub-id pub-id-type="doi">10.1117/12.506646</pub-id></citation>
</ref>
<ref id="B6">
<label>6.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Osberg</surname> <given-names>K</given-names></name> <name><surname>Schemm</surname> <given-names>N</given-names></name> <name><surname>Balkir</surname> <given-names>S</given-names></name> <name><surname>Brand</surname> <given-names>JI</given-names></name> <name><surname>Hallbeck</surname> <given-names>MS</given-names></name> <name><surname>Dowben</surname> <given-names>PA</given-names></name> <etal/></person-group>. <article-title>A handheld neutron-detection sensor system utilizing a new class of boron carbide diode</article-title>. <source>IEEE Sens J</source>. (<year>2006</year>) <volume>6</volume>:<fpage>1531</fpage>&#x02013;<lpage>38</lpage>. <pub-id pub-id-type="doi">10.1109/JSEN.2006.883905</pub-id></citation>
</ref>
<ref id="B7">
<label>7.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Osberg</surname> <given-names>K</given-names></name> <name><surname>Schemm</surname> <given-names>N</given-names></name> <name><surname>Balkir</surname> <given-names>S</given-names></name> <name><surname>Brand</surname> <given-names>JI</given-names></name> <name><surname>Hallbeck</surname> <given-names>MS</given-names></name> <name><surname>Dowben</surname> <given-names>PA</given-names></name></person-group>. <article-title>A handheld neutron-detection sensor system</article-title>. <source>IEEE Int Symp Circ</source>. (<year>2006</year>) <fpage>1179</fpage>&#x02013;<lpage>1182</lpage>. <pub-id pub-id-type="doi">10.1109/ISCAS.2006.1692801</pub-id></citation>
</ref>
<ref id="B8">
<label>8.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Caruso</surname> <given-names>AN</given-names></name> <name><surname>Dowben</surname> <given-names>PA</given-names></name> <name><surname>Balkir</surname> <given-names>S</given-names></name> <name><surname>Schemm</surname> <given-names>N</given-names></name> <name><surname>Osberg</surname> <given-names>K</given-names></name> <name><surname>Fairchild</surname> <given-names>RW</given-names></name> <etal/></person-group>. <article-title>The all boron carbide neutron detector: comparison with theory</article-title>. <source>Mater Sci Eng</source>. (<year>2006</year>) <volume>135</volume>:<fpage>129</fpage>&#x02013;<lpage>133</lpage>. <pub-id pub-id-type="doi">10.1016/j.mseb.2006.08.049</pub-id></citation>
</ref>
<ref id="B9">
<label>9.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Day</surname> <given-names>E</given-names></name> <name><surname>Diaz</surname> <given-names>MJ</given-names></name> <name><surname>Adenwalla</surname> <given-names>S</given-names></name></person-group>. <article-title>Effect of bias on neutron detection in thin semiconducting boron carbide films</article-title>. <source>J Phys D Appl Phys</source>. (<year>2006</year>) <volume>39</volume>:<fpage>2920</fpage>&#x02013;<lpage>24</lpage>. <pub-id pub-id-type="doi">10.1088/0022-3727/39/14/007</pub-id></citation>
</ref>
<ref id="B10">
<label>10.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Hong</surname> <given-names>N</given-names></name> <name><surname>Mullins</surname> <given-names>J</given-names></name> <name><surname>Foreman</surname> <given-names>K</given-names></name> <name><surname>Adenwalla</surname> <given-names>S</given-names></name></person-group>. <article-title>Boron carbide based solid state neutron detectors: the effects of bias and time constant on detection efficiency</article-title>. <source>J Phys D Appl Phys</source>. (<year>2010</year>) <volume>43</volume>:275101. <pub-id pub-id-type="doi">10.1088/0022-3727/43/27/275101</pub-id></citation>
</ref>
<ref id="B11">
<label>11.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Hong</surname> <given-names>N</given-names></name> <name><surname>Crow</surname> <given-names>L</given-names></name> <name><surname>Adenwalla</surname> <given-names>S</given-names></name></person-group>. <article-title>Time-of-flight neutron detection using PECVD grown boron carbide diode detector</article-title>. <source>Nuc Intrumen Methods Phys Res A</source> (<year>2013</year>) <volume>708</volume>:<fpage>19</fpage>&#x02013;<lpage>23</lpage>. <pub-id pub-id-type="doi">10.1016/j.nima.2012.12.105</pub-id></citation>
</ref>
<ref id="B12">
<label>12.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Emin</surname> <given-names>D</given-names></name> <name><surname>Aselage</surname> <given-names>TL</given-names></name></person-group>. <article-title>A proposed boron-carbide-based solid-state neutron detector</article-title>. <source>J Appl Phys</source>. (<year>2005</year>) <volume>97</volume>:<fpage>013529</fpage>. <pub-id pub-id-type="doi">10.1063/1.1823579</pub-id></citation>
</ref>
<ref id="B13">
<label>13.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>McGregor</surname> <given-names>DS</given-names></name> <name><surname>Unruh</surname> <given-names>TC</given-names></name> <name><surname>McNeil</surname> <given-names>WJ</given-names></name></person-group>. <article-title>Thermal neutron detection with pyrolytic boron nitride</article-title>. <source>Nucl Instrum Methods A</source> (<year>2008</year>) <volume>591</volume>:<fpage>530</fpage>&#x02013;<lpage>3</lpage>. <pub-id pub-id-type="doi">10.1016/j.nima.2008.03.002</pub-id></citation>
</ref>
<ref id="B14">
<label>14.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Uher</surname> <given-names>J</given-names></name> <name><surname>Pospisil</surname> <given-names>S</given-names></name> <name><surname>Linhart</surname> <given-names>V</given-names></name> <name><surname>Schieber</surname> <given-names>M</given-names></name></person-group>. <article-title>Efficiency of composite boron nitride neutron detectors in comparison with helium-3 detectors</article-title>. <source>Appl Phys Lett</source>. (<year>2007</year>) <volume>90</volume>:124101. <pub-id pub-id-type="doi">10.1063/1.2713869</pub-id></citation>
</ref>
<ref id="B15">
<label>15.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Li</surname> <given-names>J</given-names></name> <name><surname>Dahal</surname> <given-names>R</given-names></name> <name><surname>Majety</surname> <given-names>S</given-names></name> <name><surname>Lin</surname> <given-names>JY</given-names></name> <name><surname>Jiang</surname> <given-names>HX</given-names></name></person-group>. <article-title>Hexagonal boron nitride epitaxial layers as neutron detector materials</article-title>. <source>Nucl Instrum Methods A</source> (<year>2011</year>) <volume>654</volume>:417-20. <pub-id pub-id-type="doi">10.1016/j.nima.2011.07.040</pub-id></citation>
</ref>
<ref id="B16">
<label>16.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Kumashiro</surname> <given-names>Y</given-names></name></person-group>. <article-title>Refractory semiconductor of boron phosphide</article-title>. <source>J Mater Res</source>. (<year>1990</year>) <volume>5</volume>:2933-47. <pub-id pub-id-type="doi">10.1557/JMR.1990.2933</pub-id></citation>
</ref>
<ref id="B17">
<label>17.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Kumashiro</surname> <given-names>Y</given-names></name> <name><surname>Yokoyama</surname> <given-names>T</given-names></name> <name><surname>Sato</surname> <given-names>A</given-names></name> <name><surname>Ando</surname> <given-names>Y</given-names></name></person-group>. <article-title>Thermoelectric properties of boron and boron phosphide CVD wafers</article-title>. <source>J Solid State Chem</source>. (<year>1997</year>) <volume>133</volume>:<fpage>314</fpage>&#x02013;<lpage>21</lpage>. <pub-id pub-id-type="doi">10.1006/jssc.1997.7493</pub-id></citation>
</ref>
<ref id="B18">
<label>18.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Lund</surname> <given-names>JC</given-names></name> <name><surname>Olschner</surname> <given-names>F</given-names></name> <name><surname>Ahmed</surname> <given-names>F</given-names></name> <name><surname>Shah</surname> <given-names>KS</given-names></name></person-group>. <article-title>Boron phosphide on silicon for radiation detectors</article-title>. <source>Mater Res Soc Symp Proc</source>. (<year>1989</year>) <volume>162</volume>:<fpage>601</fpage>&#x02013;<lpage>4</lpage>. <pub-id pub-id-type="doi">10.1557/PROC-162-601</pub-id></citation>
</ref>
<ref id="B19">
<label>19.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Viles</surname> <given-names>TP</given-names></name> <name><surname>Brunnett</surname> <given-names>BA</given-names></name> <name><surname>Yoon</surname> <given-names>H</given-names></name> <name><surname>Lund</surname> <given-names>JC</given-names></name> <name><surname>Hermon</surname> <given-names>H</given-names></name> <name><surname>Buchenauer</surname> <given-names>D</given-names></name> <etal/></person-group>. <article-title>Material requirements for a boron phosphide thermal neutron counter</article-title>. <source>Mater Res Soc Symp Proc</source>. (<year>1998</year>) <volume>487</volume>:<fpage>585</fpage>&#x02013;<lpage>90</lpage>. <pub-id pub-id-type="doi">10.1557/PROC-487-585</pub-id></citation>
</ref>
<ref id="B20">
<label>20.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Bakalova</surname> <given-names>S</given-names></name> <name><surname>Speller</surname> <given-names>R</given-names></name> <name><surname>Lacey</surname> <given-names>RJ</given-names></name> <name><surname>Frost</surname> <given-names>C</given-names></name> <name><surname>Kuball</surname> <given-names>M</given-names></name></person-group>. <article-title>Novel n-type Mg<sub>2</sub>B<sub>14</sub> on silicon diode: demonstration of a thermal solid state neutron detector</article-title>. <source>Nucl Instrum Methods A</source> (<year>2013</year>) <volume>700</volume>:<fpage>140</fpage>&#x02013;<lpage>4</lpage>. <pub-id pub-id-type="doi">10.1016/j.nima.2012.10.035</pub-id></citation>
</ref>
<ref id="B21">
<label>21.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Sangeeta</surname> <given-names>CK</given-names></name> <name><surname>Desai</surname> <given-names>DG</given-names></name> <name><surname>Sabharwal</surname> <given-names>SC</given-names></name> <name><surname>Alex</surname> <given-names>M</given-names></name> <name><surname>Ghodgaonkar</surname> <given-names>MD</given-names></name></person-group>. <article-title>Neutron flux measurements with a Li<sub>2</sub>B<sub>4</sub>O<sub>7</sub> crystal</article-title>. <source>Nucl Instrum Methods A</source> (<year>2006</year>) <volume>571</volume>:699-703. <pub-id pub-id-type="doi">10.1016/j.nima.2006.10.401</pub-id></citation>
</ref>
<ref id="B22">
<label>22.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Burak</surname> <given-names>YV</given-names></name> <name><surname>Padlyak</surname> <given-names>BV</given-names></name> <name><surname>Shevel</surname> <given-names>VM</given-names></name></person-group>. <article-title>Neutron induced defects in the lithium tetraborate single crystals</article-title>. <source>Radiat Eff Defect Solid</source>. (<year>2002</year>) <volume>157</volume>:<fpage>1101</fpage>&#x02013;<lpage>9</lpage>. <pub-id pub-id-type="doi">10.1080/10420150215791</pub-id></citation>
</ref>
<ref id="B23">
<label>23.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Doty</surname> <given-names>FP</given-names></name> <name><surname>Zwieback</surname> <given-names>I</given-names></name> <name><surname>Ruderman</surname> <given-names>W</given-names></name></person-group> <article-title>inventors; Sandia Corporation, assignee</article-title>. <source>Solid State Neutron Detector and Method for Use</source>. United States patent US 6, 388, 260. (<year>2002</year>).</citation>
</ref>
<ref id="B24">
<label>24.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Siedland</surname> <given-names>E</given-names></name> <name><surname>Schwertf&#x000FC;hrer</surname> <given-names>W</given-names></name></person-group>. <article-title>Lithiumborat-Einkristalle als Neutrinendetektoren</article-title>. <source>Atomkernenergie</source> (<year>1966</year>) <volume>11</volume>:155.</citation>
</ref>
<ref id="B25">
<label>25.</label>
<citation citation-type="other"><person-group person-group-type="author"><name><surname>Wooten</surname> <given-names>DJ</given-names></name></person-group>. <source>Electric Structure of Lithium Tetraborate [Dissertation]</source>. Wright Patterson Air Force Base: Air Force Institute of Technology (<year>2010</year>) <fpage>195</fpage>.</citation>
</ref>
<ref id="B26">
<label>26.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Burak</surname> <given-names>YB</given-names></name> <name><surname>Adamiv</surname> <given-names>VT</given-names></name> <name><surname>Teslyuk</surname> <given-names>IM</given-names></name> <name><surname>Shevel</surname> <given-names>VM</given-names></name></person-group>. <article-title>Optical absorption of isotopically enriched Li<sub>2</sub>B<sub>4</sub>O<sub>7</sub> single crystals irradiated by thermal neutrons</article-title>. <source>Rad Meas</source>. (<year>2004</year>) <volume>38</volume>:<fpage>681</fpage>&#x02013;<lpage>4</lpage>. <pub-id pub-id-type="doi">10.1016/j.radmeas.2003.12.029</pub-id></citation>
</ref>
<ref id="B27">
<label>27.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Zadneprovski</surname> <given-names>BI</given-names></name> <name><surname>Eremin</surname> <given-names>NV</given-names></name> <name><surname>Paskhalov</surname> <given-names>AA</given-names></name></person-group>. <article-title>New inorganic scintillators on the basis of LBO glass for neutron registration</article-title>. <source>Funct Mater</source>. (<year>2005</year>) <volume>12</volume>:<fpage>261</fpage>&#x02013;<lpage>8</lpage>.</citation>
</ref>
<ref id="B28">
<label>28.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Rzyski</surname> <given-names>BM</given-names></name> <name><surname>Morato</surname> <given-names>SP</given-names></name></person-group>. <article-title>Luminescence studies of rare earth doped lithium tetraborate</article-title>. <source>Nucl Instrum Methods</source> (<year>1980</year>) <volume>175</volume>:<fpage>62</fpage>&#x02013;<lpage>4</lpage>. <pub-id pub-id-type="doi">10.1016/0029-554X(80)90254-2</pub-id></citation>
</ref>
<ref id="B29">
<label>29.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Saisudha</surname> <given-names>MB</given-names></name> <name><surname>Ramakrishna</surname> <given-names>J</given-names></name></person-group>. <article-title>Effect of host glass on the optical absorption properties of Nd<sup>3&#x0002B;</sup>, Sm<sup>3&#x0002B;</sup>, and Dy<sup>3&#x0002B;</sup> in lead borate glasses</article-title>. <source>Phys Rev B</source> (<year>1996</year>) <volume>53</volume>:<fpage>6186</fpage>&#x02013;<lpage>96</lpage>. <pub-id pub-id-type="doi">10.1103/PhysRevB.53.6186</pub-id><pub-id pub-id-type="pmid">9982017</pub-id></citation>
</ref>
<ref id="B30">
<label>30.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Jayasankar</surname> <given-names>CK</given-names></name> <name><surname>Babu</surname> <given-names>P</given-names></name></person-group>. <article-title>Optical properties of Sm3&#x0002B; ions in lithium borate and lithium fluoroborate glasses</article-title>. <source>J Alloy Compd</source>. (<year>2000</year>) <volume>307</volume>:<fpage>82</fpage>&#x02013;<lpage>95</lpage>. <pub-id pub-id-type="doi">10.1016/S0925-8388(00)00888-4</pub-id></citation>
</ref>
<ref id="B31">
<label>31.</label>
<citation citation-type="web"><person-group person-group-type="author"><name><surname>Dubovik</surname> <given-names>MF</given-names></name> <name><surname>Tolmachev</surname> <given-names>AV</given-names></name> <name><surname>Grinyov</surname> <given-names>BV</given-names></name> <name><surname>Grin&#x00027;</surname> <given-names>LA</given-names></name> <name><surname>Dolzhenkova</surname> <given-names>EF</given-names></name> <name><surname>Dobrotvorskaya</surname> <given-names>MV</given-names></name></person-group>. <article-title>Luminescence and radiation-induced defects in Li<sub>2</sub>B<sub>4</sub>O<sub>7</sub>:Eu single crystals</article-title>. <source>Semicond Phys Quantum Electron Optoelectron</source>. (<year>2000</year>) <volume>3</volume>:<fpage>420</fpage>&#x02013;<lpage>2</lpage>. Available online at: <ext-link ext-link-type="uri" xlink:href="http://spie.org.ua/n3_2000/420_3_00.htm">http://spie.org.ua/n3_2000/420_3_00.htm</ext-link></citation>
</ref>
<ref id="B32">
<label>32.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Kassab</surname> <given-names>LRP</given-names></name> <name><surname>Tatumi</surname> <given-names>SH</given-names></name> <name><surname>Morais</surname> <given-names>AS</given-names></name> <name><surname>Courrol</surname> <given-names>LC</given-names></name> <name><surname>Wetter</surname> <given-names>NU</given-names></name> <name><surname>Salvador</surname> <given-names>VLR</given-names></name></person-group>. <article-title>Spectroscopic properties of lead fluoroborate glasses doped with ytterbium</article-title>. <source>Opt Exp</source>. (<year>2001</year>) <volume>8</volume>:585-9. <pub-id pub-id-type="doi">10.1364/OE.8.000585</pub-id><pub-id pub-id-type="pmid">19417856</pub-id></citation>
</ref>
<ref id="B33">
<label>33.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Chen</surname> <given-names>Y</given-names></name> <name><surname>Huang</surname> <given-names>Y</given-names></name> <name><surname>Luo</surname> <given-names>Z</given-names></name></person-group>. <article-title>Spectroscopic properties of Yb<sup>3&#x0002B;</sup> in bismuth borate glasses</article-title>. <source>Chem Phys Lett</source>. (<year>2003</year>) <volume>382</volume>:<fpage>481</fpage>&#x02013;<lpage>8</lpage>. <pub-id pub-id-type="doi">10.1016/j.cplett.2003.10.121</pub-id></citation>
</ref>
<ref id="B34">
<label>34.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Vivien</surname> <given-names>D</given-names></name> <name><surname>Georges</surname> <given-names>P</given-names></name></person-group>. <article-title>Crystal growth, optical spectroscopy and laser experiments on new Yb<sup>3&#x0002B;</sup>-doped borates and silicates</article-title>. <source>Opt Mater</source>. (<year>2003</year>) <volume>22</volume>:<fpage>81</fpage>&#x02013;<lpage>3</lpage>. <pub-id pub-id-type="doi">10.1016/S0925-3467(02)00349-X</pub-id></citation>
</ref>
<ref id="B35">
<label>35.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Pisarski</surname> <given-names>WA</given-names></name> <name><surname>Pisarska</surname> <given-names>J</given-names></name> <name><surname>Dominiak-Dzik</surname> <given-names>G</given-names></name> <name><surname>Ryba-Romanowski</surname> <given-names>W</given-names></name></person-group>. <article-title>Visible and infrared spectroscopy of Pr<sup>3&#x0002B;</sup> and Tm<sup>3&#x0002B;</sup> ions in lead borate glasses</article-title>. <source>J Phys Condens Mater</source>. (<year>2004</year>) <volume>16</volume>:<fpage>6171</fpage>&#x02013;<lpage>84</lpage>. <pub-id pub-id-type="doi">10.1088/0953-8984/16/34/016</pub-id></citation>
</ref>
<ref id="B36">
<label>36.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Lin</surname> <given-names>H</given-names></name> <name><surname>Yang</surname> <given-names>D</given-names></name> <name><surname>Liu</surname> <given-names>G</given-names></name> <name><surname>Ma</surname> <given-names>T</given-names></name> <name><surname>Zhai</surname> <given-names>B</given-names></name> <name><surname>An</surname> <given-names>Q</given-names></name> <etal/></person-group>. <article-title>Optical absorption and photoluminescence of Sm<sup>3&#x0002B;</sup> and Eu<sup>3&#x0002B;</sup> doped rare-earth borate glasses</article-title>. <source>J Lumin</source>. (<year>2005</year>) <volume>113</volume>:<fpage>121</fpage>&#x02013;<lpage>28</lpage>. <pub-id pub-id-type="doi">10.1016/j.jlumin.2004.09.115</pub-id></citation>
</ref>
<ref id="B37">
<label>37.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Romero</surname> <given-names>JJ</given-names></name> <name><surname>Johannsen</surname> <given-names>J</given-names></name> <name><surname>Mond</surname> <given-names>M</given-names></name> <name><surname>Petermann</surname> <given-names>K</given-names></name> <name><surname>Huber</surname> <given-names>G</given-names></name> <name><surname>Heumann</surname> <given-names>E</given-names></name></person-group>. <article-title>Continuous-wave laster action of Yb<sup>3&#x0002B;</sup>-doped lanthanum scandium borate</article-title>. <source>Appl Phys B</source> (<year>2005</year>) <volume>80</volume>:<fpage>159</fpage>&#x02013;<lpage>63</lpage>. <pub-id pub-id-type="doi">10.1007/s00340-004-1674-4</pub-id></citation>
</ref>
<ref id="B38">
<label>38.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Stefani</surname> <given-names>R</given-names></name> <name><surname>Maia</surname> <given-names>AD</given-names></name> <name><surname>Teotonio</surname> <given-names>EES</given-names></name> <name><surname>Monteiro</surname> <given-names>MAF</given-names></name> <name><surname>Felinto</surname> <given-names>MCFC</given-names></name> <name><surname>Brito</surname> <given-names>HF</given-names></name></person-group>. <article-title>Photoluminescent behavior of SrB4O7:RE2&#x0002B; (RE&#x0003D;Sm and Eu) prepared by Pechini, combustion and ceramic methods</article-title>. <source>J Solid State Chem</source>. (<year>2006</year>) <volume>179</volume>:<fpage>1086</fpage>&#x02013;<lpage>92</lpage>. <pub-id pub-id-type="doi">10.1016/j.jssc.2006.01.006</pub-id></citation>
</ref>
<ref id="B39">
<label>39.</label>
<citation citation-type="web"><person-group person-group-type="author"><name><surname>Padlyak</surname> <given-names>B</given-names></name> <name><surname>Ryba-Romanowski</surname> <given-names>LR</given-names></name> <name><surname>Adamiv</surname> <given-names>V</given-names></name> <name><surname>Burak</surname> <given-names>Y</given-names></name> <name><surname>Teslyuk</surname> <given-names>I</given-names></name> <name><surname>Banaszak-Piechowska</surname> <given-names>A</given-names></name></person-group>. <article-title>Optical spectra and luminescence kinetics of the Sm<sup>3&#x0002B;</sup> and Yb<sup>3&#x0002B;</sup> centres in the lithium tetraborate glasses</article-title>. <source>Opt Appl</source>. (<year>2010</year>) <volume>40</volume>:<fpage>427</fpage>&#x02013;<lpage>38</lpage>. Available online at: <ext-link ext-link-type="uri" xlink:href="http://www.if.pwr.wroc.pl/~optappl/article.php?lp=804">http://www.if.pwr.wroc.pl/&#x0007E;optappl/article.php?lp&#x0003D;804</ext-link></citation>
</ref>
<ref id="B40">
<label>40.</label>
<citation citation-type="web"><person-group person-group-type="author"><name><surname>Padlyak</surname> <given-names>B</given-names></name> <name><surname>Grinberg</surname> <given-names>M</given-names></name> <name><surname>Kukli&#x000F1;ski</surname> <given-names>B</given-names></name> <name><surname>Oseledchik</surname> <given-names>Y</given-names></name> <name><surname>Smyrnov</surname> <given-names>O</given-names></name> <name><surname>Kudryavtcev</surname> <given-names>D</given-names></name> <etal/></person-group>. <article-title>Synthesis and optical spectroscopy of the Eu- and Pr-doped glasses with SrO-2B<sub>2</sub>O<sub>3</sub> composition</article-title>. <source>Opt Appl</source>. (<year>2010</year>) <volume>40</volume>:<fpage>413</fpage>&#x02013;<lpage>26</lpage>. Available online at: <ext-link ext-link-type="uri" xlink:href="http://www.if.pwr.wroc.pl/~optappl/article.php?lp=803">http://www.if.pwr.wroc.pl/&#x0007E;optappl/article.php?lp&#x0003D;803</ext-link></citation>
</ref>
<ref id="B41">
<label>41.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Padlyak</surname> <given-names>B</given-names></name> <name><surname>Ryba-Romanowski</surname> <given-names>W</given-names></name> <name><surname>Radoslaw</surname> <given-names>L</given-names></name> <name><surname>Pieprzyk</surname> <given-names>B</given-names></name> <name><surname>Drzewiecki</surname> <given-names>A</given-names></name> <name><surname>Adamiv</surname> <given-names>V</given-names></name> <etal/></person-group>. <article-title>Synthesis and optical spectroscopy of the lithium tetraborate glasses, doped with terbium and dysprosium</article-title>. <source>Opt Appl</source>. (<year>2012</year>) <volume>42</volume>:<fpage>365</fpage>&#x02013;<lpage>79</lpage>. <pub-id pub-id-type="doi">10.5277/oa120214</pub-id></citation>
</ref>
<ref id="B42">
<label>42.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Li</surname> <given-names>P</given-names></name> <name><surname>Wang</surname> <given-names>Z</given-names></name> <name><surname>Yang</surname> <given-names>Z</given-names></name> <name><surname>Guo</surname> <given-names>Q</given-names></name> <name><surname>Li</surname> <given-names>X</given-names></name></person-group>. <article-title>Luminescent characteristics of LiCaBO3:M (M &#x0003D; Eu3&#x0002B;, Sm3&#x0002B;, Tb3&#x0002B;, Ce3&#x0002B;, Dy3&#x0002B;) phosphor for white LED</article-title>. <source>J Lumin</source>. (<year>2005</year>) <volume>130</volume>:<fpage>222</fpage>&#x02013;<lpage>25</lpage>. <pub-id pub-id-type="doi">10.1016/j.jlumin.2009.08.010</pub-id></citation>
</ref>
<ref id="B43">
<label>43.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Tanabe</surname> <given-names>S</given-names></name> <name><surname>Kang</surname> <given-names>J</given-names></name> <name><surname>Hanada</surname> <given-names>T</given-names></name> <name><surname>Soga</surname> <given-names>N</given-names></name></person-group>. <article-title>Yellow/blue luminescences of Dy<sup>3&#x0002B;</sup>-doped borate glasses and their anomalous temperature variations</article-title>. <source>J Non-Cryst. Solids</source> (<year>1998</year>) <volume>239</volume>:<fpage>170</fpage>&#x02013;<lpage>75</lpage>. <pub-id pub-id-type="doi">10.1016/S0022-3093(98)00734-0</pub-id></citation>
</ref>
<ref id="B44">
<label>44.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Babu</surname> <given-names>P</given-names></name> <name><surname>Jayasankar</surname> <given-names>CK</given-names></name></person-group>. <article-title>Spectroscopic properties of Dy<sup>3&#x0002B;</sup> ions in lithium borate and lithium fluoroborate glasses</article-title>. <source>Opt Mater</source>. (<year>2000</year>) <volume>15</volume>:<fpage>65</fpage>&#x02013;<lpage>79</lpage>. <pub-id pub-id-type="doi">10.1016/S0925-3467(00)00015-X</pub-id></citation>
</ref>
<ref id="B45">
<label>45.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Kaczmarek</surname> <given-names>SM.</given-names></name></person-group> <article-title>Li<sub>2</sub>B<sub>4</sub>O<sub>7</sub> glasses doped with Cr, Co, Eu and Dy</article-title>. <source>Opt Mater</source>. (<year>2002</year>) <volume>19</volume>:189-94. <pub-id pub-id-type="doi">10.1016/S0925-3467(01)00218-X</pub-id></citation>
</ref>
<ref id="B46">
<label>46.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Baumer</surname> <given-names>VN</given-names></name> <name><surname>Chernikov</surname> <given-names>VV</given-names></name> <name><surname>Dubovik</surname> <given-names>MF</given-names></name> <name><surname>Gavrylyuk</surname> <given-names>VP</given-names></name> <name><surname>Grinyov</surname> <given-names>BV</given-names></name> <name><surname>Korshikova</surname> <given-names>TI</given-names></name> <etal/></person-group>. <article-title>Comparative analysis of scintillation parameter peculiarities of Li<sub>2</sub>B<sub>4</sub>O<sub>7</sub>, LaB<sub>3</sub>O<sub>6</sub> and Li<sub>6</sub>Gd(BO<sub>3</sub>)<sub>3</sub> single crystals</article-title>. <source>Funct Mater</source>. (<year>2001</year>) <volume>8</volume>:<fpage>736</fpage>&#x02013;<lpage>41</lpage>.</citation>
</ref>
<ref id="B47">
<label>47.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Ishii</surname> <given-names>M</given-names></name> <name><surname>Kuwano</surname> <given-names>Y</given-names></name> <name><surname>Asaba</surname> <given-names>S</given-names></name> <name><surname>Asai</surname> <given-names>T</given-names></name> <name><surname>Kawamura</surname> <given-names>M</given-names></name> <name><surname>Senguttuvan</surname> <given-names>N</given-names></name> <etal/></person-group>. <article-title>Luminescence of doped lithium tetraborate single crystals and glass</article-title>. <source>Radiat Meas</source>. (<year>2004</year>) <volume>38</volume>:<fpage>571</fpage>&#x02013;<lpage>4</lpage>. <pub-id pub-id-type="doi">10.1016/j.radmeas.2004.03.017</pub-id></citation>
</ref>
<ref id="B48">
<label>48.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Wooten</surname> <given-names>D</given-names></name> <name><surname>Ketsman</surname> <given-names>I</given-names></name> <name><surname>Xiao</surname> <given-names>J</given-names></name> <name><surname>Losovyj</surname> <given-names>YB</given-names></name> <name><surname>Petrosky</surname> <given-names>J</given-names></name> <name><surname>McClory</surname> <given-names>J</given-names></name> <etal/></person-group>. <article-title>The electronic structure of Li2B4O7(110) and Li2B4O7(100)</article-title>. <source>Eur Phys J Appl Phys</source>. (<year>2010</year>) <volume>52</volume>:<fpage>31601</fpage>&#x02013;<lpage>8</lpage>. <pub-id pub-id-type="doi">10.1051/epjap/2010160</pub-id></citation>
</ref>
<ref id="B49">
<label>49.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Adamiv</surname> <given-names>VT</given-names></name> <name><surname>Burak</surname> <given-names>YV</given-names></name> <name><surname>Wooten</surname> <given-names>D</given-names></name> <name><surname>McClory</surname> <given-names>J</given-names></name> <name><surname>Petrosky</surname> <given-names>J</given-names></name> <name><surname>Ketsman</surname> <given-names>I</given-names></name> <etal/></person-group>. <article-title>The electronic structure and secondary pyroelectric properties of lithium tetraborate</article-title>. <source>Materials</source> (<year>2010</year>) <volume>3</volume>:<fpage>4550</fpage>&#x02013;<lpage>79</lpage>. <pub-id pub-id-type="doi">10.3390/ma3094550</pub-id></citation>
</ref>
<ref id="B50">
<label>50.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Maslyuk</surname> <given-names>VV</given-names></name> <name><surname>Islam</surname> <given-names>MM</given-names></name> <name><surname>Thomas</surname> <given-names>BT</given-names></name></person-group>. <article-title>Electronic properties of compounds of the Li<sub>2</sub>O-B2O<sub>3</sub> system</article-title>. <source>Phys Rev B</source> (<year>2005</year>) <volume>72</volume>:125101. <pub-id pub-id-type="doi">10.1103/PhysRevB.72.125101</pub-id><pub-id pub-id-type="pmid">22538232</pub-id></citation>
</ref>
<ref id="B51">
<label>51.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Islam</surname> <given-names>MM</given-names></name> <name><surname>Maslyuk</surname> <given-names>VV</given-names></name> <name><surname>Bredow</surname> <given-names>T</given-names></name> <name><surname>Minot</surname> <given-names>C</given-names></name></person-group>. <article-title>Structural and electronic properties of Li<sub>2</sub>B<sub>4</sub>O7</article-title>. <source>J Phys Chem B</source> (<year>2005</year>) <volume>109</volume>:<fpage>13597</fpage>&#x02013;<lpage>604</lpage>. <pub-id pub-id-type="doi">10.1021/jp044715q</pub-id><pub-id pub-id-type="pmid">16942093</pub-id></citation>
</ref>
<ref id="B52">
<label>52.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Antonyak</surname> <given-names>OT</given-names></name> <name><surname>Burak</surname> <given-names>YV</given-names></name> <name><surname>Lyseiko</surname> <given-names>IT</given-names></name> <name><surname>Pidzyrailo</surname> <given-names>NS</given-names></name> <name><surname>Khapko</surname> <given-names>ZA</given-names></name></person-group>. <article-title>Luminescence of the Li<sub>2</sub>B<sub>4</sub>O<sub>7</sub> single crystals</article-title>. <source>Opt. Spectrosc</source>. (<year>1986</year>) <volume>61</volume>:<fpage>550</fpage>&#x02013;<lpage>3</lpage>.</citation>
</ref>
<ref id="B53">
<label>53.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>McMillen</surname> <given-names>CD</given-names></name> <name><surname>Giesber</surname> <given-names>HG</given-names></name> <name><surname>Kolis</surname> <given-names>JW</given-names></name></person-group>. <article-title>The hydrothermal synthesis, growth, and optical properties of &#x003B3;-LiBO<sub>2</sub></article-title>. <source>J Cryst Growth</source> (<year>2008</year>) <volume>310</volume>:<fpage>299</fpage>&#x02013;<lpage>305</lpage>. <pub-id pub-id-type="doi">10.1016/j.jcrysgro.2007.10.068</pub-id></citation>
</ref>
<ref id="B54">
<label>54.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Leonyuk</surname> <given-names>NI</given-names></name></person-group>. <article-title>Structural aspects in crystal growth of anhydrous borates</article-title>. <source>J Crystal Growth</source> (<year>1997</year>) <volume>174</volume>: <fpage>301</fpage>&#x02013;<lpage>7</lpage>. <pub-id pub-id-type="doi">10.1016/S0022-0248(96)01164-5</pub-id></citation>
</ref>
<ref id="B55">
<label>55.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Padlyak</surname> <given-names>BV</given-names></name> <name><surname>Mudry</surname> <given-names>SI</given-names></name> <name><surname>Kulyk</surname> <given-names>YO</given-names></name> <name><surname>Drzewiecki</surname> <given-names>A</given-names></name> <name><surname>Adamiv</surname> <given-names>VT</given-names></name> <name><surname>Burak</surname> <given-names>YV</given-names></name> <etal/></person-group>. <article-title>Synthesis and X-ray structural investigation of undoped borate glasses</article-title>. <source>Mater Sci Poland</source> (<year>2012</year>) <volume>30</volume>: <fpage>264</fpage>&#x02013;<lpage>73</lpage>. <pub-id pub-id-type="doi">10.2478/s13536-012-0032-1</pub-id></citation>
</ref>
<ref id="B56">
<label>56.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Lemonnier</surname> <given-names>M</given-names></name> <name><surname>Collet</surname> <given-names>O</given-names></name> <name><surname>Depautex</surname> <given-names>C</given-names></name> <name><surname>Esteva</surname> <given-names>JM</given-names></name> <name><surname>Raoux</surname> <given-names>D</given-names></name></person-group>. <article-title>High vacuum two crystal X-ray monochromator</article-title>. <source>Nucl Instrum Methods A</source> (<year>1978</year>) <volume>152</volume>:<fpage>109</fpage>&#x02013;<lpage>11</lpage>. <pub-id pub-id-type="doi">10.1016/0029-554X(78)90246-X</pub-id></citation>
</ref>
<ref id="B57">
<label>57.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Hormes</surname> <given-names>J</given-names></name> <name><surname>Scott</surname> <given-names>JD</given-names></name> <name><surname>Suller</surname> <given-names>VP</given-names></name></person-group>. <article-title>Facility update: the center for advanced microstructures and devices: a status report</article-title>. <source>Syn Radiat News</source> (<year>2006</year>) <volume>19</volume>:<fpage>27</fpage>&#x02013;<lpage>30</lpage>. <pub-id pub-id-type="doi">10.1080/08940880500525093</pub-id></citation>
</ref>
<ref id="B58">
<label>58.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Roy</surname> <given-names>A</given-names></name> <name><surname>Morikawa</surname> <given-names>E</given-names></name> <name><surname>Bellamy</surname> <given-names>H</given-names></name> <name><surname>Jumar</surname> <given-names>C</given-names></name> <name><surname>Goettert</surname> <given-names>J</given-names></name> <name><surname>Suller</surname> <given-names>V</given-names></name> <etal/></person-group>. <article-title>Status of the center for advanced microstructures and devices (CAMD) 2007</article-title>. <source>Nucl Instrum Methods A</source> (<year>2007</year>) <volume>582</volume>:<fpage>22</fpage>&#x02013;<lpage>5</lpage>. <pub-id pub-id-type="doi">10.1016/j.nima.2007.08.053</pub-id></citation>
</ref>
<ref id="B59">
<label>59.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Morikawa</surname> <given-names>E</given-names></name> <name><surname>Scott</surname> <given-names>JD</given-names></name> <name><surname>Goettert</surname> <given-names>J</given-names></name> <name><surname>Aigeldinger</surname> <given-names>G</given-names></name> <name><surname>Kumar</surname> <given-names>ChSSR</given-names></name> <name><surname>Craft</surname> <given-names>BC</given-names></name> <etal/></person-group>. <article-title>Status of the center for advanced microstructures and devices (CAMD)-2001</article-title>. <source>Rev Sci Instrum</source>. (<year>2002</year>) <volume>73</volume>:<fpage>1680</fpage>&#x02013;<lpage>3</lpage>. <pub-id pub-id-type="doi">10.1063/1.1425391</pub-id></citation>
</ref>
<ref id="B60">
<label>60.</label>
<citation citation-type="book"><person-group person-group-type="author"><name><surname>Thompson</surname> <given-names>AC</given-names></name> <name><surname>Kirz</surname> <given-names>J</given-names></name> <name><surname>Attwood</surname> <given-names>DT</given-names></name> <name><surname>Gullikson</surname> <given-names>EM</given-names></name> <name><surname>Howells</surname> <given-names>MR</given-names></name> <name><surname>Kortright</surname> <given-names>JB</given-names></name> <etal/></person-group>. <source>X-Ray Data Booklet, 3rd Edn.</source> <publisher-loc>Berkeley, CA</publisher-loc>: <publisher-name>LBNL</publisher-name> (<year>2009</year>) <fpage>1</fpage>&#x02013;<lpage>3</lpage>.</citation>
</ref>
<ref id="B61">
<label>61.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Newville</surname> <given-names>M</given-names></name></person-group>. <article-title>IFEFFIT: interactive XAFS analysis and FEFF fitting</article-title>. <source>J Syn Radiat</source>. (<year>2001</year>) <volume>8</volume>:<fpage>322-4</fpage>. <pub-id pub-id-type="doi">10.1107/S0909049500016964</pub-id><pub-id pub-id-type="pmid">11512767</pub-id></citation>
</ref>
<ref id="B62">
<label>62.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Ravel</surname> <given-names>B</given-names></name> <name><surname>Newville</surname> <given-names>M</given-names></name></person-group>. <article-title>ATHENA, ARTEMIS, HEPHAESTUS: data analysis for X-ray absorption spectroscopy using IFEFFIT</article-title>. <source>J Synchrotron Radiat</source>. (<year>2005</year>) <volume>12</volume>:<fpage>537</fpage>&#x02013;<lpage>41</lpage>. <pub-id pub-id-type="doi">10.1107/S0909049505012719</pub-id><pub-id pub-id-type="pmid">15968136</pub-id></citation>
</ref>
<ref id="B63">
<label>63.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Ravel</surname> <given-names>B</given-names></name></person-group>. <article-title>ATOMS: crystallography for the X-ray absorption spectroscopist</article-title>. <source>J Synchrotron Radiat</source>. (<year>2001</year>) <volume>8</volume>:<fpage>314</fpage>&#x02013;<lpage>6</lpage>. <pub-id pub-id-type="doi">10.1107/S090904950001493X</pub-id><pub-id pub-id-type="pmid">11512764</pub-id></citation>
</ref>
<ref id="B64">
<label>64.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Rehr</surname> <given-names>JJ</given-names></name> <name><surname>Albers</surname> <given-names>RC</given-names></name> <name><surname>Zabinsky</surname> <given-names>SI</given-names></name></person-group>. <article-title>High-order multiple-scattering calculations of x-ray-absorption fine structure</article-title>. <source>Phys Rev Lett</source>. (<year>1992</year>) <volume>69</volume>:<fpage>3397</fpage>&#x02013;<lpage>400</lpage>. <pub-id pub-id-type="doi">10.1103/PhysRevLett.69.3397</pub-id><pub-id pub-id-type="pmid">10046808</pub-id></citation>
</ref>
<ref id="B65">
<label>65.</label>
<citation citation-type="book"><person-group person-group-type="author"><name><surname>Bunker</surname> <given-names>G</given-names></name></person-group>. <source>Introduction to XAFS</source>. <publisher-loc>New York, NY</publisher-loc>: <publisher-name>Cambridge University Press</publisher-name> (<year>2010</year>). <pub-id pub-id-type="doi">10.1017/CBO9780511809194</pub-id></citation>
</ref>
<ref id="B66">
<label>66.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Kelly</surname> <given-names>TD</given-names></name> <name><surname>Kong</surname> <given-names>L</given-names></name> <name><surname>Buchanan</surname> <given-names>DA</given-names></name> <name><surname>Brant</surname> <given-names>AT</given-names></name> <name><surname>Petrosky</surname> <given-names>JC</given-names></name> <name><surname>McClory</surname> <given-names>JW</given-names></name> <etal/></person-group>. <article-title>EXAFS and EPR analysis of the local structure of Mn-doped Li<sub>2</sub>B<sub>4</sub>O<sub>7</sub></article-title>. <source>Phys Status Solid B</source> (<year>2013</year>) <volume>250</volume>:<fpage>1376</fpage>&#x02013;<lpage>83</lpage>. <pub-id pub-id-type="doi">10.1002/pssb.201349013</pub-id></citation>
</ref>
<ref id="B67">
<label>67.</label>
<citation citation-type="web"><person-group person-group-type="author"><name><surname>Kelly</surname> <given-names>TD</given-names></name> <name><surname>Echeverria</surname> <given-names>E</given-names></name> <name><surname>Beniwal</surname> <given-names>S</given-names></name> <name><surname>Adamiv</surname> <given-names>VT</given-names></name> <name><surname>Burak</surname> <given-names>YV</given-names></name> <name><surname>Enders</surname> <given-names>A</given-names></name> <etal/></person-group>. <article-title>The chromium site in doped glassy lithium tetraborate</article-title>. <source>Mater Chem Phys</source> (<year>in press</year>). Available online at: <ext-link ext-link-type="uri" xlink:href="http://www.ncbi.nlm.nih.gov/books/NBK7240">http://www.ncbi.nlm.nih.gov/books/NBK7240</ext-link></citation>
</ref>
<ref id="B68">
<label>68.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Krogh-Moe</surname> <given-names>J</given-names></name></person-group>. <article-title>The crystal structure of lithium diborate, Li<sub>2</sub>O<sup>&#x0002A;</sup>2B<sub>2</sub>O<sub>3</sub></article-title>. <source>Acta Cryst</source>. (<year>1962</year>) <volume>15</volume>:190-3. <pub-id pub-id-type="doi">10.1107/S0365110X6200050X</pub-id></citation>
</ref>
<ref id="B69">
<label>69.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Krogh-Moe</surname> <given-names>J</given-names></name></person-group>. <article-title>Refinement of the crystal structure of lithium diborate Li<sub>2</sub>O<sup>&#x0002A;</sup>2B<sub>2</sub>O<sub>3</sub></article-title>. <source>Acta Cryst</source>. (<year>1968</year>) <volume>B24</volume>:<fpage>179</fpage>&#x02013;<lpage>81</lpage>. <pub-id pub-id-type="doi">10.1107/S0567740868001913</pub-id></citation>
</ref>
<ref id="B70">
<label>70.</label>
<citation citation-type="web"><person-group person-group-type="author"><name><surname>Podg&#x000F3;rska</surname> <given-names>D</given-names></name> <name><surname>Kaczmarek</surname> <given-names>SM</given-names></name> <name><surname>Drozdowski</surname> <given-names>W</given-names></name> <name><surname>Berkowski</surname> <given-names>M</given-names></name> <name><surname>Worsztynowicza</surname> <given-names>A</given-names></name></person-group>. <article-title>Growth and Optical Properties of Li<sub>2</sub>B<sub>4</sub>O<sub>7</sub> Single Crystals Pure and Doped with Yb, Co and Mn ions for nonlinear applications</article-title>. <source>Acta Physica Polonica A</source> (<year>2005</year>) <volume>107</volume>:507. Available online at: <ext-link ext-link-type="uri" xlink:href="http://przyrbwn.icm.edu.pl/APP/ABSTR/107/a107-3-7.html">http://przyrbwn.icm.edu.pl/APP/ABSTR/107/a107-3-7.html</ext-link></citation>
</ref>
<ref id="B71">
<label>71.</label>
<citation citation-type="web"><person-group person-group-type="author"><name><surname>Burak</surname> <given-names>YV</given-names></name> <name><surname>Adamiv</surname> <given-names>VT</given-names></name> <name><surname>Antonyak</surname> <given-names>OT</given-names></name> <name><surname>Malynych</surname> <given-names>SZ</given-names></name> <name><surname>Pidzyrailo</surname> <given-names>MS</given-names></name> <name><surname>Teslyuk</surname> <given-names>IM</given-names></name></person-group>. <article-title>Thermoluminescence in doped single crystals Li2B4O7:A (A &#x0003D; Cu, Ag)</article-title>. <source>Ukr J Phys</source>. (<year>2005</year>) <volume>50</volume>:<fpage>1153</fpage>&#x02013;<lpage>8</lpage>. Available online at: <ext-link ext-link-type="uri" xlink:href="http://ujp.bitp.kiev.ua/index.php?item=j&#x00026;id=63">http://ujp.bitp.kiev.ua/index.php?item&#x0003D;j&#x00026;id&#x0003D;63</ext-link></citation>
</ref>
<ref id="B72">
<label>72.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Padlyak</surname> <given-names>BV</given-names></name> <name><surname>Ryba-Romanowski</surname> <given-names>W</given-names></name> <name><surname>Lisiecki</surname> <given-names>R</given-names></name> <name><surname>Adamiv</surname> <given-names>VT</given-names></name> <name><surname>Burak</surname> <given-names>YaV</given-names></name> <name><surname>Teslyuk</surname> <given-names>IM</given-names></name></person-group>. <article-title>Optical spectroscopy of Nd-doped Borate Glasses</article-title>. <source>Proc Int Conf OMEE</source> (<year>2012</year>) <volume>OMEE-2012</volume>:<fpage>200</fpage>&#x02013;<lpage>1</lpage>. <pub-id pub-id-type="doi">10.1109/OMEE.2012.6464900</pub-id></citation>
</ref>
<ref id="B73">
<label>73.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Padlyak</surname> <given-names>BV</given-names></name> <name><surname>Ryba-Romanowski</surname> <given-names>W</given-names></name> <name><surname>Lisiecki</surname> <given-names>R</given-names></name></person-group>. <article-title>Optical and EPR spectroscopy of the Nd-doped borate glasses</article-title>. <source>J Phys Stud</source>. (<year>2012</year>) <volume>16</volume>:<fpage>3998</fpage>&#x02013;<lpage>4005</lpage>.</citation>
</ref>
<ref id="B74">
<label>74.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Wang</surname> <given-names>L</given-names></name> <name><surname>Wai-Ning</surname> <given-names>M</given-names></name> <name><surname>McHale</surname> <given-names>SR</given-names></name> <name><surname>McClory</surname> <given-names>JW</given-names></name> <name><surname>Petrosky</surname> <given-names>JC</given-names></name> <name><surname>Wu</surname> <given-names>J</given-names></name> <etal/></person-group>. <article-title>Rare earth 4f hybridization with the GaN valence band</article-title>. <source>Semicond Sci Technol</source>. (<year>2012</year>) <volume>27</volume>:<fpage>115017</fpage>&#x02013;<lpage>23</lpage>. <pub-id pub-id-type="doi">10.1088/0268-1242/27/11/115017</pub-id></citation>
</ref>
<ref id="B75">
<label>75.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Witkowska</surname> <given-names>A</given-names></name> <name><surname>Padlyak</surname> <given-names>B</given-names></name> <name><surname>Rybicki</surname> <given-names>J</given-names></name></person-group>. <article-title>Influence of rare-earth impurities on the Ge and Ga local structure in the Ca<sub>3</sub>Ga<sub>2</sub>Ge<sub>3</sub>O<sub>12</sub> glass</article-title>. <source>J Non-Cryst Solids</source> (<year>2006</year>) <volume>352</volume>:<fpage>4346</fpage>&#x02013;<lpage>50</lpage>. <pub-id pub-id-type="doi">10.1016/j.jnoncrysol.2006.07.031</pub-id></citation>
</ref>
<ref id="B76">
<label>76.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Joseph</surname> <given-names>B</given-names></name> <name><surname>Ladecola</surname> <given-names>A</given-names></name> <name><surname>Bianconi</surname></name> <name><surname>Marcelli</surname> <given-names>A</given-names></name> <name><surname>Saini</surname> <given-names>NL</given-names></name></person-group>. <article-title>RE L3 x-ray absorption study of REO1-xFxFeAs (RE &#x0003D; La, Pr, Nd, Sm) oxypnictides</article-title>. <source>J Phys Condens Mater</source>. (<year>2009</year>) <volume>21</volume>:<fpage>432201</fpage>&#x02013;<lpage>6</lpage>. <pub-id pub-id-type="doi">10.1088/0953-8984/21/43/432201</pub-id><pub-id pub-id-type="pmid">21832432</pub-id></citation>
</ref>
<ref id="B77">
<label>77.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Pedersen</surname> <given-names>KR</given-names></name> <name><surname>Jorgensen</surname> <given-names>JE</given-names></name></person-group>. <article-title>XANES study of rare-earth valency and 4f hybridization in Pb<sub>2</sub>Sr<sub>2</sub>Ln<sub>1-x</sub>Ca<sub>x</sub>Cu<sub>3</sub>O<sub>8</sub> for Ln &#x0003D; Ce, Pr, and Tb</article-title>. <source>Physica C</source> (<year>1996</year>) <volume>264</volume>:185-90. <pub-id pub-id-type="doi">10.1016/0921-4534(96)00263-8</pub-id></citation>
</ref>
<ref id="B78">
<label>78.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Shimizugawa</surname> <given-names>Y</given-names></name> <name><surname>Umesaki</surname> <given-names>N</given-names></name> <name><surname>Qiu</surname> <given-names>J</given-names></name> <name><surname>Hirao</surname> <given-names>K</given-names></name></person-group>. <article-title>Local structure around europium ions doped in borate glasses</article-title>. <source>J Synchrotron Rad</source>. (<year>1999</year>) <volume>6</volume>:<fpage>624</fpage>&#x02013;<lpage>6</lpage>. <pub-id pub-id-type="doi">10.1107/S0909049599000394</pub-id><pub-id pub-id-type="pmid">15263402</pub-id></citation>
</ref>
<ref id="B79">
<label>79.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Smythe</surname> <given-names>DJ</given-names></name> <name><surname>Brenan</surname> <given-names>JM</given-names></name> <name><surname>Bennett</surname> <given-names>NR</given-names></name> <name><surname>Regier</surname> <given-names>T</given-names></name> <name><surname>Henderson</surname> <given-names>GS</given-names></name></person-group>. <article-title>Quantitative determination of cerium oxidation states in alkali-aluminosilicate glasses using M<sub>4,5</sub>-edge</article-title>. <source>J Non-Cryst Solids</source> (<year>2013</year>) <volume>378</volume>:<fpage>258</fpage>&#x02013;<lpage>64</lpage>. <pub-id pub-id-type="doi">10.1016/j.jnoncrysol.2013.07.017</pub-id></citation>
</ref>
<ref id="B80">
<label>80.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Lee</surname> <given-names>CH</given-names></name> <name><surname>Oyanagi</surname> <given-names>H</given-names></name> <name><surname>Sekine</surname> <given-names>C</given-names></name> <name><surname>Shirotani</surname> <given-names>I</given-names></name> <name><surname>Ishii</surname> <given-names>M</given-names></name></person-group>. <article-title>XANES study of rare-earth valency in LRu4P12 (L &#x0003D; Ce and Pr)</article-title>. <source>Phys Rev B</source> (<year>1999</year>) <volume>60</volume>:<fpage>13253</fpage>&#x02013;<lpage>6</lpage>. <pub-id pub-id-type="doi">10.1103/PhysRevB.60.13253</pub-id></citation>
</ref>
<ref id="B81">
<label>81.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Santana</surname> <given-names>JAC</given-names></name> <name><surname>Liu</surname> <given-names>P</given-names></name> <name><surname>Wang</surname> <given-names>X</given-names></name> <name><surname>Tang</surname> <given-names>J</given-names></name> <name><surname>McHale</surname> <given-names>SR</given-names></name> <name><surname>Wooten</surname> <given-names>D</given-names></name> <etal/></person-group>. <article-title>The local metallicity of gadolinium doped compound semiconductors</article-title>. <source>J Phys Condens Mater</source>. (<year>2012</year>) <volume>24</volume>:<fpage>445801</fpage>&#x02013;<lpage>6</lpage>. <pub-id pub-id-type="doi">10.1088/0953-8984/24/44/445801</pub-id><pub-id pub-id-type="pmid">23044531</pub-id></citation>
</ref>
<ref id="B82">
<label>82.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Liu</surname> <given-names>P</given-names></name> <name><surname>Santana</surname> <given-names>JAC</given-names></name> <name><surname>Dai</surname> <given-names>Q</given-names></name> <name><surname>Wang</surname> <given-names>X</given-names></name> <name><surname>Dowben</surname> <given-names>PA</given-names></name> <name><surname>Tang</surname> <given-names>J</given-names></name></person-group>. <article-title>Sign of the superexchange coupling between next-nearest neighbors in EuO</article-title>. <source>Phys Rev B</source> (<year>2012</year>) <volume>86</volume>:<fpage>224408</fpage>&#x02013;<lpage>13</lpage>. <pub-id pub-id-type="doi">10.1103/PhysRevB.86.224408</pub-id></citation>
</ref>
<ref id="B83">
<label>83.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Sakisaka</surname> <given-names>Y</given-names></name> <name><surname>Rhodin</surname> <given-names>TN</given-names></name> <name><surname>Dowben</surname> <given-names>PA</given-names></name></person-group>. <article-title>Resonant photoemission at the 3s threshold of Ni</article-title>. <source>Solid State Commun</source>. (<year>1984</year>) <volume>49</volume>:<fpage>563</fpage>&#x02013;<lpage>5</lpage>. <pub-id pub-id-type="doi">10.1016/0038-1098(84)90192-3</pub-id></citation>
</ref>
<ref id="B84">
<label>84.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Segall</surname> <given-names>MD</given-names></name> <name><surname>Lindan</surname> <given-names>PJD</given-names></name> <name><surname>Probert</surname> <given-names>MJ</given-names></name> <name><surname>Pickard</surname> <given-names>CJ</given-names></name> <name><surname>Hasnip</surname> <given-names>PJ</given-names></name> <name><surname>Clark</surname> <given-names>SJ</given-names></name> <etal/></person-group>. <article-title>First-principles simulations: ideas, illustrations and the CASTEP code</article-title>. <source>J Phys Condens Mat</source>. (<year>2002</year>) <volume>14</volume>:<fpage>2717</fpage>&#x02013;<lpage>44</lpage>. <pub-id pub-id-type="doi">10.1088/0953-8984/14/11/301</pub-id></citation>
</ref>
<ref id="B85">
<label>85.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Perdew</surname> <given-names>JP</given-names></name> <name><surname>Burke</surname> <given-names>K</given-names></name> <name><surname>Ernzerhof</surname> <given-names>M</given-names></name></person-group>. <article-title>Generalized gradient approximation made simple</article-title>. <source>Phys Rev Lett</source>. (<year>1996</year>) <volume>77</volume>:<fpage>3865</fpage>&#x02013;<lpage>8</lpage>. <pub-id pub-id-type="doi">10.1103/PhysRevLett.77.3865</pub-id><pub-id pub-id-type="pmid">10062328</pub-id></citation>
</ref>
<ref id="B86">
<label>86.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Marzari</surname> <given-names>N</given-names></name> <name><surname>Vanderbilt</surname> <given-names>D</given-names></name> <name><surname>Payne</surname> <given-names>MC</given-names></name></person-group>. <article-title>Ensemble density-functional theory for ab initio molecular dynamics of metals and finite-temperature insulators</article-title>. <source>Phys Rev Lett</source>. (<year>1997</year>) <volume>79</volume>:<fpage>1337</fpage>&#x02013;<lpage>40</lpage>. <pub-id pub-id-type="doi">10.1103/PhysRevLett.79.1337</pub-id></citation>
</ref>
<ref id="B87">
<label>87.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Payne</surname> <given-names>MC</given-names></name> <name><surname>Teter</surname> <given-names>MP</given-names></name> <name><surname>Allan</surname> <given-names>DC</given-names></name> <name><surname>Arias</surname> <given-names>TA</given-names></name> <name><surname>Joannopoulos</surname> <given-names>JD</given-names></name></person-group>. <article-title>Iterative minimization techniques for ab initio total-energy calculations: molecular dynamics and conjugate gradients</article-title>. <source>Rev Mod Phys</source>. (<year>1992</year>) <volume>64</volume>:<fpage>1045</fpage>&#x02013;<lpage>97</lpage>. <pub-id pub-id-type="doi">10.1103/RevModPhys.64.1045</pub-id></citation>
</ref>
<ref id="B88">
<label>88.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Da Silva</surname> <given-names>JLF</given-names></name> <name><surname>Ganduglia-Pirovano</surname> <given-names>MV</given-names></name> <name><surname>Sauer</surname> <given-names>J</given-names></name> <name><surname>Bayer</surname> <given-names>V</given-names></name> <name><surname>Kresse</surname> <given-names>G</given-names></name></person-group>. <article-title>Hybrid functionals applied to rare-earth oxides: the example of ceria</article-title>. <source>Phys Rev B</source> (<year>2007</year>) <volume>75</volume>: <fpage>045121</fpage>. <pub-id pub-id-type="doi">10.1103/PhysRevB.75.045121</pub-id></citation>
</ref>
<ref id="B89">
<label>89.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Wang</surname> <given-names>L</given-names></name> <name><surname>Mei</surname> <given-names>WN</given-names></name> <name><surname>Dowben</surname> <given-names>PA</given-names></name></person-group>. <article-title>The surface states of lithium tetraborate</article-title>. <source>J Phys Condens Mat</source>. (<year>2013</year>) <volume>25</volume>:<fpage>045014</fpage>. <pub-id pub-id-type="doi">10.1088/0953-8984/25/4/045014</pub-id><pub-id pub-id-type="pmid">23288512</pub-id></citation>
</ref>
<ref id="B90">
<label>90.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Monkhorst</surname> <given-names>HJ</given-names></name> <name><surname>Pack</surname> <given-names>JD</given-names></name></person-group>. <article-title>Special points for Brillouin-zone integrations</article-title>. <source>Phys Rev B</source> (<year>1976</year>) <volume>13</volume>:<fpage>5188</fpage>&#x02013;<lpage>92</lpage>. <pub-id pub-id-type="doi">10.1103/PhysRevB.13.5188</pub-id></citation>
</ref>
<ref id="B91">
<label>91.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Segall</surname> <given-names>MD</given-names></name> <name><surname>Shah</surname> <given-names>R</given-names></name> <name><surname>Pickard</surname> <given-names>CJ</given-names></name> <name><surname>Payne</surname> <given-names>MC</given-names></name></person-group>. <article-title>Population analysis of plane-wave electronic structure calculations of bulk materials</article-title>. <source>Phys Rev B</source> (<year>1996</year>) <volume>54</volume>:16317. <pub-id pub-id-type="doi">10.1103/PhysRevB.54.16317</pub-id><pub-id pub-id-type="pmid">9985733</pub-id></citation>
</ref>
<ref id="B92">
<label>92.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Mulliken</surname> <given-names>RS</given-names></name></person-group>. <article-title>Electronic population analysis on LCAO&#x02013;MO molecular wave functions. I</article-title>. <source>J Chem Phys</source>. (<year>1955</year>) <volume>23</volume>:1833. <pub-id pub-id-type="doi">10.1063/1.1740588</pub-id></citation>
</ref>
<ref id="B93">
<label>93.</label>
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Shannon</surname> <given-names>RD</given-names></name></person-group>. <article-title>Revised effective ionic radii and systematic studies of interatomic distances in halides and chalcogenides</article-title>. <source>Acta Crystallogr A</source> (<year>1976</year>) <volume>32</volume>:<fpage>751</fpage>&#x02013;<lpage>67</lpage>. <pub-id pub-id-type="doi">10.1107/S0567739476001551</pub-id></citation>
</ref>
</ref-list>
</back>
</article>
