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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Chem.</journal-id>
<journal-title>Frontiers in Chemistry</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Chem.</abbrev-journal-title>
<issn pub-type="epub">2296-2646</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="publisher-id">1270351</article-id>
<article-id pub-id-type="doi">10.3389/fchem.2023.1270351</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Chemistry</subject>
<subj-group>
<subject>Mini Review</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Copper radionuclides for theranostic applications: towards standardisation of their nuclear data. A mini-review</article-title>
<alt-title alt-title-type="left-running-head">Hussain et al.</alt-title>
<alt-title alt-title-type="right-running-head">
<ext-link ext-link-type="uri" xlink:href="https://doi.org/10.3389/fchem.2023.1270351">10.3389/fchem.2023.1270351</ext-link>
</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" equal-contrib="yes">
<name>
<surname>Hussain</surname>
<given-names>Mazhar</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1182364/overview"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-original-draft/"/>
<role content-type="https://credit.niso.org/contributor-roles/conceptualization/"/>
<role content-type="https://credit.niso.org/contributor-roles/supervision/"/>
<role content-type="https://credit.niso.org/contributor-roles/Writing - review &#x26; editing/"/>
</contrib>
<contrib contrib-type="author" corresp="yes" equal-contrib="yes">
<name>
<surname>Qaim</surname>
<given-names>Syed M.</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1183964/overview"/>
<role content-type="https://credit.niso.org/contributor-roles/investigation/"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-original-draft/"/>
</contrib>
<contrib contrib-type="author" equal-contrib="yes">
<name>
<surname>Spahn</surname>
<given-names>Ingo</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1165626/overview"/>
<role content-type="https://credit.niso.org/contributor-roles/data-curation/"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-original-draft/"/>
</contrib>
<contrib contrib-type="author" equal-contrib="yes">
<name>
<surname>Aslam</surname>
<given-names>M. Naveed</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
<role content-type="https://credit.niso.org/contributor-roles/funding-acquisition/"/>
<role content-type="https://credit.niso.org/contributor-roles/Writing - review &#x26; editing/"/>
</contrib>
<contrib contrib-type="author" equal-contrib="yes">
<name>
<surname>Neumaier</surname>
<given-names>Bernd</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1191546/overview"/>
</contrib>
</contrib-group>
<aff id="aff1">
<sup>1</sup>
<institution>Institut f&#xfc;r Neurowissenschaften und Medizin, INM-5: Nuklearchemie</institution>, <institution>Forschungszentrum J&#xfc;lich (FZJ)</institution>, <addr-line>J&#xfc;lich</addr-line>, <country>Germany</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>Department of Physics</institution>, <institution>Government College University Lahore (GCUL)</institution>, <addr-line>Lahore</addr-line>, <country>Pakistan</country>
</aff>
<aff id="aff3">
<sup>3</sup>
<institution>Department of Physics</institution>, <institution>COMSATS University Islamabad</institution>, <addr-line>Lahore</addr-line>, <country>Pakistan</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>
<bold>Edited by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1099133/overview">Susanta Lahiri</ext-link>, Saha Institute of Nuclear Physics (SINP), India</p>
</fn>
<fn fn-type="edited-by">
<p>
<bold>Reviewed by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/2090983/overview">Zoltan Szucs</ext-link>, Institute for Nuclear Research, Debrecen, Hungary</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Syed M. Qaim, <email>s.m.qaim@fz-juelich.de</email>
</corresp>
</author-notes>
<pub-date pub-type="epub">
<day>29</day>
<month>09</month>
<year>2023</year>
</pub-date>
<pub-date pub-type="collection">
<year>2023</year>
</pub-date>
<volume>11</volume>
<elocation-id>1270351</elocation-id>
<history>
<date date-type="received">
<day>31</day>
<month>07</month>
<year>2023</year>
</date>
<date date-type="accepted">
<day>08</day>
<month>09</month>
<year>2023</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2023 Hussain, Qaim, Spahn, Aslam and Neumaier.</copyright-statement>
<copyright-year>2023</copyright-year>
<copyright-holder>Hussain, Qaim, Spahn, Aslam and Neumaier</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/">
<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) and the copyright owner(s) 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>Copper has several clinically relevant radioisotopes and versatile coordination chemistry, allowing attachment of its radionuclides to biological molecules. This characteristic makes it suitable for applications in molecular imaging or radionuclide targeted therapy. Of particular interest in nuclear medicine today is the theranostic approach. This brief review considers five radionuclides of copper. These are Cu-60, Cu-61, Cu-62, Cu-64, and Cu-67. The first four are positron emitters for imaging, and the last one Cu-67 is a &#x3b2;<sup>&#x2013;</sup>-emitting radionuclide suitable for targeted therapy. The emphasis here is on theory-aided evaluation of available experimental data with a view to establishing standardised cross-section database for production of the relevant radionuclide in high purity. Evaluated cross section data of the positron emitters have been already extensively reported; so here they are only briefly reviewed. More attention is given to the data of the <sup>68</sup>Zn(p,2p)<sup>67</sup>Cu intermediate energy reaction which is rather commonly used for production of <sup>67</sup>Cu.</p>
</abstract>
<kwd-group>
<kwd>radionuclides of copper</kwd>
<kwd>theranostic approach</kwd>
<kwd>nuclear reaction cross section</kwd>
<kwd>nuclear model calculation</kwd>
<kwd>standardisation of nuclear data</kwd>
<kwd>thick target yield</kwd>
</kwd-group>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Inorganic Chemistry</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec id="s1">
<title>1 Introduction</title>
<p>Copper is an essential trace element in all living systems. It has versatile coordination chemistry (<xref ref-type="bibr" rid="B10">Blower et al., 1996</xref>; <xref ref-type="bibr" rid="B74">Wadas et al., 2007</xref>) which allows its metallation with various chelators, such as DOTA (1,4,7,10-tetraazacyclododecane tetraacetic acid), NOTA (1,4,7-triazacyclononane triacetic acid) etc., that can be conjugated to biological targeting molecules like peptides, proteins and antibodies (<xref ref-type="bibr" rid="B10">Blower et al., 1996</xref>; <xref ref-type="bibr" rid="B74">Wadas et al., 2007</xref>; <xref ref-type="bibr" rid="B2">Aluicio-Sarduy et al., 2018</xref>). Thus suitable radionuclides of copper attached to those molecules have great potential in molecular imaging and/or radionuclide targeted therapy, i.e., in following the theranostic approach, which entails the use of two radionuclides of the same element in identical chemical form, one a positron emitter for measuring the distribution kinetics of the radioactivity in the body via Positron Emission Tomography (PET), and the other a radionuclide emitting corpuscular radiation (&#x3b2;<sup>&#x2013;</sup>, &#x3b1; or Auger electrons) useful for internal radiotherapy. The two nuclides are denoted as &#x201c;matched pair&#x201d; (<xref ref-type="bibr" rid="B19">Herzog et al., 1993</xref>; <xref ref-type="bibr" rid="B59">R&#xf6;sch et al., 2017</xref>; <xref ref-type="bibr" rid="B55">Qaim et al., 2018</xref>). The radionuclides of copper of theranostic interest are listed in <xref ref-type="table" rid="T1">Table 1</xref>. They consist of four positron-emitting radionuclides, namely, <sup>60</sup>Cu(T<sub>1/2</sub> &#x3d; 23.7&#xa0;min), <sup>61</sup>Cu(T<sub>1/2</sub> &#x3d; 3.33&#xa0;h), <sup>62</sup>Cu(T<sub>1/2</sub> &#x3d; 9.67&#xa0;min) and <sup>64</sup>Cu(T<sub>1/2</sub> &#x3d; 12.7&#xa0;h), and the &#x3b2;<sup>&#x2013;</sup>emitting radionuclide <sup>67</sup>Cu (T<sub>1/2</sub> &#x3d; 61.83&#xa0;h). Whereas <sup>60</sup>Cu and <sup>62</sup>Cu, being rather short-lived, have found only limited application in PET measurements (<xref ref-type="bibr" rid="B73">Wallhaus et al., 1998</xref>; <xref ref-type="bibr" rid="B32">McCarthy et al., 1999</xref>; <xref ref-type="bibr" rid="B41">Ng et al., 2014</xref>), <sup>61</sup>Cu and <sup>64</sup>Cu are more widely used. In particular <sup>64</sup>Cu is gaining increasing significance due to its almost ideal decay characteristics for PET imaging (<xref ref-type="bibr" rid="B75">Williams et al., 2005</xref>). The counterpart radionuclide <sup>67</sup>Cu is of considerable interest in internal radiotherapy because of its suitable half-life and &#x3b2;<sup>&#x2013;</sup>energy. The &#x201c;matched pairs&#x201d; <sup>61</sup>Cu/<sup>67</sup>Cu and <sup>64</sup>Cu/<sup>67</sup>Cu thus constitute very important theranostic pairs. Furthermore, because of its &#x3b2;<sup>&#x2013;</sup>and Auger electron emission component, the radionuclide <sup>64</sup>Cu is also of interest in radionuclide targeted therapy.</p>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>Standardised decay and production data of some copper radionuclides of theranostic interest.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th rowspan="2" align="left">Radionuclide</th>
<th colspan="4" align="center">Decay data</th>
<th colspan="3" align="center">Production data</th>
</tr>
<tr>
<th align="left">T<sub>&#xbd;</sub>
</th>
<th align="left">Mode of decay (%)</th>
<th align="left">Maximum &#x3b2; particle energy (keV)</th>
<th align="left">E<sub>&#x3b3;</sub> in keV(%)</th>
<th align="left">Nuclear reaction</th>
<th align="left">Optimum energy range (MeV)</th>
<th align="left">Calculated yield (MBq/&#x3bc;Ah) [Ref.]</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td rowspan="3" align="left">
<sup>60</sup>Cu</td>
<td rowspan="3" align="left">23.7&#xa0;min</td>
<td align="left">&#x3b2;<sup>&#x2b;</sup> (92)</td>
<td rowspan="3" align="left">2,500</td>
<td align="left">826.4 (21.7)</td>
<td rowspan="3" align="left">
<sup>60</sup>Ni(p,n)</td>
<td rowspan="3" align="left">15&#x2192;7</td>
<td rowspan="3" align="left">3,400 [our value]<xref ref-type="table-fn" rid="Tfn2">
<sup>b</sup>
</xref>
</td>
</tr>
<tr>
<td rowspan="2" align="left">EC (8)</td>
<td align="left">1,332.5 (88.0)</td>
</tr>
<tr>
<td align="left">1791.6 (45.4)</td>
</tr>
<tr>
<td rowspan="4" align="left">
<sup>61</sup>Cu</td>
<td rowspan="4" align="left">3.34&#xa0;h</td>
<td rowspan="2" align="left">&#x3b2;<sup>&#x2b;</sup> (61)</td>
<td rowspan="4" align="left">1,300</td>
<td rowspan="2" align="left">282.9 (12.2)</td>
<td rowspan="2" align="left">
<sup>61</sup>Ni(p,n)</td>
<td rowspan="2" align="left">15&#x2192;7</td>
<td align="left">1,418 [our value]<xref ref-type="table-fn" rid="Tfn3">
<sup>c</sup>
</xref>
</td>
</tr>
<tr>
<td align="left">1,434 [CRP]<xref ref-type="table-fn" rid="Tfn4">
<sup>d</sup>
</xref>
</td>
</tr>
<tr>
<td rowspan="2" align="left">EC (39)</td>
<td rowspan="2" align="left">656.0 (10.4)</td>
<td rowspan="2" align="left">
<sup>64</sup>Zn(p,&#x3b1;)</td>
<td rowspan="2" align="left">18&#x2192;11</td>
<td align="left">288 [our value]<xref ref-type="table-fn" rid="Tfn5">
<sup>e</sup>
</xref>
</td>
</tr>
<tr>
<td align="left">257 [CRP]<xref ref-type="table-fn" rid="Tfn4">
<sup>d</sup>
</xref>
</td>
</tr>
<tr>
<td rowspan="3" align="left">
<sup>62</sup>Cu</td>
<td rowspan="3" align="left">9.67&#xa0;min</td>
<td align="left">&#x3b2;<sup>&#x2b;</sup> (98)</td>
<td rowspan="3" align="left">2,935</td>
<td align="left">875 (0.15)</td>
<td align="left">
<sup>63</sup>Cu(p,2n)<sup>62</sup>Zn&#x2192;<sup>62</sup>Cu</td>
<td align="left">30&#x2192;14</td>
<td align="left">233 [CRP]<xref ref-type="table-fn" rid="Tfn6">
<sup>f</sup>
</xref>
</td>
</tr>
<tr>
<td rowspan="2" align="left">EC (2)</td>
<td rowspan="2" align="left">1,173 (0.34)</td>
<td rowspan="2" align="left">
<sup>62</sup>Ni(p,n)</td>
<td rowspan="2" align="left">15&#x2192;7</td>
<td align="left">45,000[our value]<xref ref-type="table-fn" rid="Tfn3">
<sup>c</sup>
</xref>
</td>
</tr>
<tr>
<td align="left">38,240 [CRP]<xref ref-type="table-fn" rid="Tfn4">
<sup>d</sup>
</xref>
</td>
</tr>
<tr>
<td rowspan="3" align="left">
<sup>64</sup>Cu</td>
<td rowspan="3" align="left">12.7&#xa0;h</td>
<td align="left">EC (43.8)</td>
<td align="left">
</td>
<td rowspan="3" align="left">1,345.7(0.47)<xref ref-type="table-fn" rid="Tfn1">
<sup>a</sup>
</xref>
</td>
<td rowspan="3" align="left">
<sup>64</sup>Ni(p,n)</td>
<td rowspan="3" align="left">12&#x2192;8</td>
<td align="left">304 [our value]<xref ref-type="table-fn" rid="Tfn7">
<sup>g</sup>
</xref>
</td>
</tr>
<tr>
<td align="left">&#x3b2;<sup>&#x2b;</sup> (17.8)</td>
<td align="left">653</td>
<td rowspan="2" align="left">306 [CRP]<xref ref-type="table-fn" rid="Tfn4">
<sup>d</sup>
</xref>
</td>
</tr>
<tr>
<td align="left">&#x3b2;<sup>&#x2013;</sup> (38.4)</td>
<td align="left">571</td>
</tr>
<tr>
<td rowspan="3" align="left">
<sup>67</sup>Cu</td>
<td rowspan="3" align="left">61.8&#xa0;h</td>
<td rowspan="3" align="left">&#x3b2;<sup>&#x2013;</sup> (100)</td>
<td rowspan="3" align="left">577</td>
<td rowspan="3" align="left">184.6 (48.6)</td>
<td align="left">
<sup>70</sup>Zn(p,&#x3b1;)</td>
<td align="left">25&#x2192;10</td>
<td align="left">4.4 [CRP]<xref ref-type="table-fn" rid="Tfn8">
<sup>h</sup>
</xref>
</td>
</tr>
<tr>
<td rowspan="2" align="left">
<sup>68</sup>Zn(p,2p)</td>
<td rowspan="2" align="left">80&#x2192;30</td>
<td align="left">42 [CRP]<xref ref-type="table-fn" rid="Tfn8">
<sup>h</sup>
</xref>
</td>
</tr>
<tr>
<td align="left">38 [CRP]<xref ref-type="table-fn" rid="Tfn9">
<sup>i</sup>
</xref>
</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn id="Tfn1">
<label>
<sup>a</sup>
</label>
<p>There is discrepancy between this value and our reported value of 0.54% (<xref ref-type="bibr" rid="B54">Qaim et al., 2007</xref>).</p>
</fn>
<fn id="Tfn2">
<label>
<sup>b</sup>
</label>
<p>Not standardised. Yield calculated from theory-validated experimental excitation function (<xref ref-type="bibr" rid="B72">Uddin et al., 2016</xref>).</p>
</fn>
<fn id="Tfn3">
<label>
<sup>c</sup>
</label>
<p>From our evaluated data (<xref ref-type="bibr" rid="B6">Aslam and Qaim, 2014a</xref>).</p>
</fn>
<fn id="Tfn4">
<label>
<sup>d</sup>
</label>
<p>From IAEA-CRP, evaluated data (<xref ref-type="bibr" rid="B69">T&#xe1;rk&#xe1;nyi et al., 2019</xref>).</p>
</fn>
<fn id="Tfn5">
<label>
<sup>e</sup>
</label>
<p>From our evaluated data (<xref ref-type="bibr" rid="B5">Aslam and Qaim, 2014b</xref>).</p>
</fn>
<fn id="Tfn6">
<label>
<sup>f</sup>
</label>
<p>From IAEA-CRP, evaluated data (<xref ref-type="bibr" rid="B18">Hermanne et al., 2018</xref>).</p>
</fn>
<fn id="Tfn7">
<label>
<sup>g</sup>
</label>
<p>From our evaluated data (<xref ref-type="bibr" rid="B8">Aslam et al., 2009</xref>).</p>
</fn>
<fn id="Tfn8">
<label>
<sup>h</sup>
</label>
<p>From IAEA-CRP, evaluated data (<xref ref-type="bibr" rid="B58">Qaim et al., 2011</xref>).</p>
</fn>
<fn id="Tfn9">
<label>
<sup>i</sup>
</label>
<p>From IAEA-CRP, evaluated data (<xref ref-type="bibr" rid="B68">T&#xe1;rk&#xe1;nyi et al., 2022</xref>).</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>The most significant decay data and the important production methods of the five radionuclides under consideration are also given in <xref ref-type="table" rid="T1">Table 1</xref>. Both decay data and production methodologies have been amply described (<xref ref-type="bibr" rid="B55">Qaim et al., 2018</xref>; <xref ref-type="bibr" rid="B53">Qaim, 2019</xref>; <xref ref-type="bibr" rid="B45">NUDAT 3.0, 2023</xref>; <xref ref-type="bibr" rid="B42">Nichols, 2022</xref>; <xref ref-type="bibr" rid="B51">Qaim, 2017</xref>; <xref ref-type="bibr" rid="B56">Qaim et al., 2019</xref>). In this brief review therefore we concentrate only on a special aspect, namely, the standardisation (also called &#x201c;evaluation&#x201d;) of nuclear data of those five radionuclides. As far as we know, to date such a review has not been written.</p>
</sec>
<sec id="s2">
<title>2 Standardised decay data: discrepancies and deficiencies</title>
<p>The decay data have conventionally received more attention with regard to their standardisation, and detailed evaluated mass decay chains are available for the above-mentioned five radionuclides (<xref ref-type="bibr" rid="B24">Junde et al., 2005</xref>; <xref ref-type="bibr" rid="B43">Nichols et al., 2012</xref>; <xref ref-type="bibr" rid="B12">Browne and Tuli, 2013</xref>; <xref ref-type="bibr" rid="B76">Zuber and Singh, 2015</xref>; <xref ref-type="bibr" rid="B60">Singh and Chen, 2021</xref>). The data given in <xref ref-type="table" rid="T1">Table 1</xref> are all standardised, especially the half-lives, the &#x3b3;-ray energies and their intensities, as well as the &#x3b2;<sup>&#x2b;</sup>(&#x3b2;<sup>&#x2013;</sup>) energies and their intensities. They were taken from NUDAT which is based on evaluated mass decay chains. Yet some uncertainties do exist. The intensity of the weak 1,345.7&#xa0;keV &#x3b3;-ray of <sup>64</sup>Cu, for example, is slightly controversial. The reported standardised value is (0.47 &#xb1; 0.01) % (<xref ref-type="bibr" rid="B9">B&#xe9; et al., 2012</xref>). A later measurement using <sup>64</sup>Cu in a solution volume of 5&#xa0;mL gave the same value for the intensity of this &#x3b3;-ray (<xref ref-type="bibr" rid="B47">Pibida et al., 2017</xref>). But an independent experiment done earlier at FZJ (<xref ref-type="bibr" rid="B54">Qaim et al., 2007</xref>), utilizing a cyclotron-produced, radiochemically separated, highly pure thin point source gave a value of (0.54 &#xb1; 0.03) %. Incidentally, in that work the intensities obtained for &#x3b2;<sup>&#x2b;</sup>, &#x3b2;<sup>&#x2013;</sup>and EC emissions were exactly the same as the standardised values. The discrepancy is thus specific to the determination of the 1,345.7&#xa0;keV &#x3b3;-ray. An independent experiment using a properly prepared thin sample of <sup>64</sup>Cu is therefore suggested to solve the discrepancy.</p>
<p>An important consideration in quantification of a PET measurement is the intensity of the positrons emitted from the radionuclide (I<sub>&#x3b2;&#x2b;</sub>). In most cases this intensity (% of decay) is derived from a balance of various &#x3b3;-transitions described in the decay scheme. But often there are uncertainties in the reported values. A direct experimental determination of the positron emission intensity involving a spectrometric analysis of the 511&#xa0;keV annihilation radiation and K<sub>&#x3b1;</sub> X-rays, as developed at FZJ, appears to provide more accurate results (<xref ref-type="bibr" rid="B54">Qaim et al., 2007</xref>). The I<sub>&#x3b2;&#x2b;</sub> value for <sup>64</sup>Cu obtained this way amounted to 17.8% and is now regarded as the standard value. For <sup>60</sup>Cu, <sup>61</sup>Cu, and <sup>62</sup>Cu, so far such a direct measurement has not been performed. On the other hand, the I<sub>&#x3b2;&#x2b;</sub> values for <sup>60</sup>Cu and <sup>62</sup>Cu, being 93% and &#x223c;100%, respectively, are rather strong; the uncertainty is therefore assumed to be small. Furthermore, due to very limited use of those radionuclides, the reported I<sub>&#x3b2;&#x2b;</sub> values appear to be satisfactory. Regarding the radionuclide <sup>61</sup>Cu, on the other hand, the reported I<sub>&#x3b2;&#x2b;</sub> value of 61% is rather uncertain (<xref ref-type="bibr" rid="B51">Qaim, 2017</xref>; <xref ref-type="bibr" rid="B56">Qaim et al., 2019</xref>). In view of somewhat enhancing interest in this radionuclide, a direct measurement of the I<sub>&#x3b2;&#x2b;</sub> value, as done for <sup>64</sup>Cu, appears to be of some urgency.</p>
<p>As far as the decay data of <sup>67</sup>Cu are concerned, there appears to be no discrepancy (<xref ref-type="bibr" rid="B24">Junde et al., 2005</xref>) and the energies and intensities of all emitted radiations given in <xref ref-type="table" rid="T1">Table 1</xref> may be regarded as standardised values.</p>
</sec>
<sec id="s3">
<title>3 Methodologies for standardisation of production data</title>
<sec id="s3-1">
<title>3.1 General development</title>
<p>In contrast to neutron-induced reactions, the standardisation of charged-particle induced reaction cross sections, needed for production of radionuclides at cyclotrons/accelerators, remained initially somewhat neglected (<xref ref-type="bibr" rid="B50">Qaim, 2020</xref>). From 1995 onwards, however, the IAEA got interested in this field, and the relevant data compilation and evaluation efforts were intensified. The former led to improvement of the international EXFOR file and the standardisation of those data was initiated and followed through three successive Coordinated Research Projects (CRPs). Since no evaluation methodology for charged-particle data existed in the beginning, in the first CRP related to commonly used diagnostic radionuclides, the work was rather empirical and reliance was placed on statistical fitting of concordant set of data (<xref ref-type="bibr" rid="B17">Gul et al., 2001</xref>). In the second CRP dealing with therapeutic radionuclides, theory was also introduced to some extent. Calculations were done using the codes ALICE-IPPE and EMPIRE for comparison with the experimental data (<xref ref-type="bibr" rid="B58">Qaim et al., 2011</xref>). The third and last CRP in the series became a very extensive endeavour dealing with a large number of novel radionuclides (<xref ref-type="bibr" rid="B69">T&#xe1;rk&#xe1;nyi et al., 2019</xref>). However, the selection/rejection of the experimental data in the evaluation process remained rather empirical, and standardised curves were obtained by statistical fittings. For comparison, only the results of the global theoretical file TENDL were considered. All data for charged-particle production of medical radionuclides evaluated under those CRPs are available on the website of the IAEA [<ext-link ext-link-type="uri" xlink:href="https://www-nds.iaea.org/relnsd/vcharthtml/MEDVChart.html">Medical Portal (iaea.org)</ext-link>].</p>
</sec>
<sec id="s3-2">
<title>3.2 Theory-assisted selection of data in the standardisation process</title>
<p>Standardisation work on charged-particle induced reaction cross sections has also been done outside the IAEA-CRPs mentioned above. In those studies extensive use was made of nuclear model calculations to ascertain the most concordant set of data for a given nuclear reaction, followed by polynomial fitting of the selected data. Based on a suggestion made by <xref ref-type="bibr" rid="B64">Sud&#xe1;r et al. (2002)</xref>, the standardisation methodology was extensively developed under a German-Pakistan cooperation (<xref ref-type="bibr" rid="B22">Hussain et al., 2009</xref>, <xref ref-type="bibr" rid="B21">2010</xref>; <xref ref-type="bibr" rid="B6">Aslam and Qaim, 2014a</xref>; <xref ref-type="bibr" rid="B5">Aslam and Qaim, 2014b</xref>; <xref ref-type="bibr" rid="B3">Amjed et al., 2016</xref>, <xref ref-type="bibr" rid="B4">2020</xref>; <xref ref-type="bibr" rid="B1">Ali et al., 2019</xref>). It consists of a comparison of the experimental data with the results of a nuclear model calculation, whereby the input parameters are adjusted within their recommended limits (RIPL-3). The basic relation for obtaining the evaluated cross section is developed as<disp-formula id="equ1">
<mml:math id="m1">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3c3;</mml:mi>
<mml:mi mathvariant="italic">ev</mml:mi>
</mml:msub>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>E</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#x3d;</mml:mo>
<mml:mi>f</mml:mi>
<mml:mi mathvariant="italic">&#x2009;</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>E</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mi mathvariant="italic">&#x2009;</mml:mi>
<mml:msub>
<mml:mi>&#x3c3;</mml:mi>
<mml:mi mathvariant="italic">model</mml:mi>
</mml:msub>
<mml:mi mathvariant="italic">&#x2009;</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>E</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
</disp-formula>where <italic>&#x3c3;</italic>
<sub>
<italic>ev</italic>
</sub> <italic>(E), &#x3c3;</italic>
<sub>
<italic>model</italic>
</sub> <italic>(E) and f (E)</italic> are the evaluated cross section, model calculated cross section and the energy-dependent normalisation factor, respectively. The ratio of experimental to calculated data is plotted as a function of energy, followed by a polynomial fitting to estimate the <inline-formula id="inf1">
<mml:math id="m2">
<mml:mrow>
<mml:mi>f</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> (E). The procedure is repeated with all model calculations. The recommended data are generated by averaging the normalised model calculations.</p>
<p>For nuclear model calculations, in our collaboration four major codes, namely, STAPRE, ALICE-IPPE, EMPIRE and TALYS (<xref ref-type="bibr" rid="B28">Koning et al. 2005</xref>) were used. With the exception of ALICE-IPPE, which is based purely on the exciton precompound model, the other codes entail a combination of compound and precompound processes, with some consideration of direct interactions. They reproduce the experimental data with varying degree of success. In each calculation therefore, the optical model parameters were varied within their recommended limits to obtain a fit as close as possible to the experimental data. The recommended data for the particular production reaction were then generated as outlined earlier. For uncertainty estimates, a confidence limit of 95% was adopted. With constant improvements in the code TALYS in recent years (<xref ref-type="bibr" rid="B77">Koning et al. 2023</xref>), its use has become more universal.</p>
</sec>
</sec>
<sec id="s4">
<title>4 Standardised (recommended) cross-section data</title>
<p>For all 5 radionuclides under consideration, several production routes were studied (see below). However, in <xref ref-type="table" rid="T1">Table 1</xref> we give for each radionuclide only the more commonly used production reactions, the optimum energy ranges derived and the thick target yields calculated from the standardised excitation functions. Each radionuclide is discussed below individually.</p>
<sec id="s4-1">
<title>4.1 Positron emitters</title>
<sec id="s4-1-1">
<title>4.1.1 <sup>60</sup>Cu</title>
<p>The most suitable production route for this radionuclide is the <sup>60</sup>Ni(p,n)<sup>60</sup>Cu process. However, no attempt has been made to standardise its cross-section data either in the IAEA-CRP or by us. On the other hand, a detailed experimental and theoretical study of the excitation function of this reaction has been carried out by <xref ref-type="bibr" rid="B72">Uddin et al. (2016)</xref>. We used those data as reference values to deduce the optimum energy range (E<sub>p</sub> &#x3d; 15&#x2192;7&#xa0;MeV) for the production of <sup>60</sup>Cu, and also calculated its expected thick target yield. This process has been developed to produce high-purity <sup>60</sup>Cu on a clinical scale (<xref ref-type="bibr" rid="B32">McCarthy et al., 1999</xref>).</p>
</sec>
<sec id="s4-1-2">
<title>4.1.2 <sup>61</sup>Cu</title>
<p>The cross-section data for the reactions <sup>61</sup>Ni(p,n)<sup>61</sup>Cu, <sup>62</sup>Ni(p,2n)<sup>61</sup>Cu, <sup>60</sup>Ni(d,n)<sup>61</sup>Cu and <sup>58</sup>Ni(&#x3b1;,p)<sup>61</sup>Cu were standardised by <xref ref-type="bibr" rid="B6">Aslam and Qaim (2014a)</xref> and those for the reactions <sup>64</sup>Zn(p,&#x3b1;)<sup>61</sup>Cu, <sup>64</sup>Zn(d,&#x3b1;n)<sup>61</sup>Cu, <sup>59</sup>Co(<sup>3</sup>He,n)<sup>61</sup>Cu and <sup>59</sup>Co(&#x3b1;,2n)<sup>61</sup>Cu by <xref ref-type="bibr" rid="B5">Aslam and Qaim (2014b)</xref>. The standardised numerical data are given in those two publications. The <sup>59</sup>Co(&#x3b1;,2n)<sup>61</sup>Cu reaction can be used if an &#x3b1;-particle beam of about 40&#xa0;MeV is available (<xref ref-type="bibr" rid="B16">Fukumura et al., 2004</xref>). However, the reactions <sup>61</sup>Ni(p,n)<sup>61</sup>Cu and <sup>64</sup>Zn(p,&#x3b1;)<sup>61</sup>Cu have been more commonly used for production. The suitable energy ranges for those two reactions were deduced. The calculated yields of <sup>61</sup>Cu from standardised curves by us (<xref ref-type="bibr" rid="B6">Aslam and Qaim, 2014a</xref>; <xref ref-type="bibr" rid="B5">Aslam and Qaim, 2014b</xref>) and those by the IAEA-CRP (<xref ref-type="bibr" rid="B69">T&#xe1;rk&#xe1;nyi et al., 2019</xref>) are given in <xref ref-type="table" rid="T1">Table 1</xref>. They agree within about 1% for the <sup>61</sup>Ni(p,n)-reaction and about 10% for the <sup>64</sup>Zn(p,&#x3b1;)-reaction. For both reactions, using highly-enriched targets, clinical scale production of high-purity <sup>61</sup>Cu has been reported (<xref ref-type="bibr" rid="B32">McCarthy et al., 1999</xref>; <xref ref-type="bibr" rid="B70">Thieme et al., 2013</xref>).</p>
</sec>
<sec id="s4-1-3">
<title>4.1.3 <sup>62</sup>Cu</title>
<p>This short-lived positron emitting radionuclide is obtained via two routes:<list list-type="simple">
<list-item>
<p>a) <sup>nat</sup>Cu(p,xn)<sup>62</sup>Zn&#x2192;<sup>62</sup>Cu (generator)</p>
</list-item>
<list-item>
<p>b) <sup>62</sup>Ni(p,n)<sup>62</sup>Cu</p>
</list-item>
</list>
</p>
<p>The data for the reaction <sup>nat</sup>Cu(p,xn)<sup>62</sup>Zn have been very well standardised because it is an important monitor reaction (IAEA report, <xref ref-type="bibr" rid="B17">Gul et al., 2001</xref>) and the calculated yield of <sup>62</sup>Zn over the suitable energy range (E<sub>p</sub> &#x3d; 30&#x2192;14&#xa0;MeV) is given in <xref ref-type="table" rid="T1">Table 1</xref>. Use of an enriched target is not necessary. This route is the method of choice for the production of <sup>62</sup>Cu (<xref ref-type="bibr" rid="B73">Wallhaus et al., 1998</xref>; <xref ref-type="bibr" rid="B41">Ng et al., 2014</xref>). The data for the reaction <sup>62</sup>Ni(p,n)<sup>62</sup>Cu were standardised by us (<xref ref-type="bibr" rid="B6">Aslam and Qaim, 2014a</xref>) and the IAEA-CRP (<xref ref-type="bibr" rid="B69">T&#xe1;rk&#xe1;nyi et al., 2019</xref>). The yields agree within about 15%. This route gives a very high yield of the product but, in order to achieve high radionuclidic purity, an enriched target is needed. It has seldom been used for production.</p>
</sec>
<sec id="s4-1-4">
<title>4.1.4 <sup>64</sup>Cu</title>
<p>Cross-section data of a large number of reactions leading to the formation of this radionuclide have been standardised both by us (<xref ref-type="bibr" rid="B8">Aslam et al., 2009</xref>) and under an IAEA-CRP (<xref ref-type="bibr" rid="B58">Qaim et al., 2011</xref>). They include the reactions <sup>64</sup>Ni(p,n)<sup>64</sup>Cu, <sup>64</sup>Ni(d,2n)<sup>64</sup>Cu, <sup>68</sup>Zn(p,&#x3b1;n)<sup>64</sup>Cu, <sup>66</sup>Zn(p,2pn)<sup>64</sup>Cu, <sup>64</sup>Zn(d,2p)<sup>64</sup>Cu, <sup>66</sup>Zn(d,&#x3b1;)<sup>64</sup>Cu, <sup>nat</sup>Zn(d,x)<sup>64</sup>Cu and a few others. Out of all those reactions, however, the <sup>64</sup>Ni(p,n)<sup>64</sup>Cu process on highly-enriched target is the most interesting. Its thick target yields reported by us and the IAEA-CRP agree within 1%. Initially proposed by the J&#xfc;lich group (<xref ref-type="bibr" rid="B65">Szelecs&#xe9;nyi et al., 1993</xref>) and further developed by the St. Louis group (<xref ref-type="bibr" rid="B33">McCarthy et al., 1997</xref>), the technology was improved over the years (for a review cf. <xref ref-type="bibr" rid="B55">Qaim et al., 2018</xref>), and today this reaction has become the method of choice for large scale production of high-purity and high-specific-activity <sup>64</sup>Cu.</p>
</sec>
</sec>
<sec id="s4-2">
<title>4.2 Therapeutic radionuclide <sup>
<italic>67</italic>
</sup>
<italic>Cu</italic>
</title>
<p>This &#x3b2;<sup>&#x2013;</sup>-emitting therapeutic radionuclide has been of interest for more than 40&#xa0;years and its production methods have been reviewed by several groups (<xref ref-type="bibr" rid="B58">Qaim et al., 2011</xref>; <xref ref-type="bibr" rid="B52">Qaim, 2012</xref>; IAEA-report; <xref ref-type="bibr" rid="B62">Smith et al., 2012</xref>; <xref ref-type="bibr" rid="B55">Qaim et al., 2018</xref>; <xref ref-type="bibr" rid="B40">Mou et al., 2022</xref>). Considerable industrial efforts are underway to produce it via the <sup>68</sup>Zn(&#x3b3;,p)<sup>67</sup>Cu process. Its excitation function is known fairly well. We concentrated on four charged-particle induced reactions. Three of them have been investigated in the low-energy range. They are <sup>70</sup>Zn(p,&#x3b1;)<sup>67</sup>Cu (<xref ref-type="bibr" rid="B31">Levkovskii, 1991</xref>; <xref ref-type="bibr" rid="B26">Kastleiner et al., 1999</xref>; <xref ref-type="bibr" rid="B14">Dellepiane et al., 2023</xref>), <sup>70</sup>Zn(d,&#x3b1;n)<sup>67</sup>Cu (<xref ref-type="bibr" rid="B29">Kozempel et al., 2012</xref>; <xref ref-type="bibr" rid="B44">Nigron et al., 2021</xref>) and <sup>64</sup>Ni(&#x3b1;,p)<sup>67</sup>Cu (<xref ref-type="bibr" rid="B61">Skakun and Qaim, 2004</xref>; <xref ref-type="bibr" rid="B46">Ohya et al., 2018</xref>; <xref ref-type="bibr" rid="B71">Uddin et al., 2018</xref>; <xref ref-type="bibr" rid="B67">Tak&#xe1;cs et al., 2020</xref>). An evaluation of the cross section data was, however, carried out only for the <sup>70</sup>Zn(p,&#x3b1;)<sup>67</sup>Cu reaction under an IAEA-CRP (<xref ref-type="bibr" rid="B58">Qaim et al., 2011</xref>). The new data by <xref ref-type="bibr" rid="B14">Delllepiane et al. (2023)</xref> up to 18&#xa0;MeV fit well in the evaluated curve. Thus a reliable standardised database is available for this reaction up to 30&#xa0;MeV. This method has been used for <sup>67</sup>Cu production in MBq quantities at 24&#x2013;30&#xa0;MeV cyclotrons (<xref ref-type="bibr" rid="B20">Hilgers et al., 2003</xref>; <xref ref-type="bibr" rid="B30">Lee et al., 2022</xref>). Very recently some new data have been reported for the <sup>70</sup>Zn(p,x)<sup>67</sup>Cu process up to proton energy of about 70&#xa0;MeV (<xref ref-type="bibr" rid="B48">Pupillo et al., 2020</xref>). The cross section increases sharply beyond 40&#xa0;MeV. An evaluation of the data would be meaningful when more information is available. The fourth reaction, namely, <sup>68</sup>Zn(p,2p)<sup>67</sup>Cu, is presently often used for production purposes. The standardisation of production cross sections was attempted under an IAEA-CRP (<xref ref-type="bibr" rid="B58">Qaim et al., 2011</xref>). Another IAEA-CRP version has also been presented (<xref ref-type="bibr" rid="B68">T&#xe1;rk&#xe1;nyi et al., 2022</xref>). <xref ref-type="bibr" rid="B25">Jung et al. (2023)</xref> reported extensive new cross-section measurements in the higher energy range. We discuss critically all reported data.</p>
<p>For this reaction, twelve experiments have been reported in the EXFOR library of the IAEA (<ext-link ext-link-type="uri" xlink:href="http://www-nds.iaea.org/exfor/exfor.htm">http://www-nds.iaea.org/exfor/exfor.htm</ext-link>) over the proton energy range up to 430&#xa0;MeV. For evaluation, however, the data only up to 100&#xa0;MeV are interesting, i.e., leaving out some data points in the higher energy region (<xref ref-type="bibr" rid="B38">Morrison et al., 1962</xref>; <xref ref-type="bibr" rid="B39">Morrison et al., 1964</xref>; <xref ref-type="bibr" rid="B37">Mirzadeh et al., 1986</xref>). <xref ref-type="bibr" rid="B13">Cohen et al. (1955)</xref> measured only one cross section value at 21.5&#xa0;MeV which was found to be very discrepant. <xref ref-type="bibr" rid="B34">McGee et al. (1970)</xref> performed measurements at eight energies covering the range from 30 to 85&#xa0;MeV. They used the reference of <xref ref-type="bibr" rid="B35">Meadows (1953)</xref> for the monitor reaction. The present status of that monitor reaction led us to correct those data. Similarly the Levkovskii data (1991) were reduced by 25% because of the use of wrong monitor cross section (<xref ref-type="bibr" rid="B57">Qaim et al., 2014</xref>). <xref ref-type="bibr" rid="B63">Stoll et al. (2002)</xref> performed the experiment over a wide energy range of 24.9&#x2013;70.8&#xa0;MeV at two cyclotrons (JULIC and PSI accelerator) using enriched <sup>68</sup>Zn (98.3%) thin target samples and radiochemical separation of <sup>67</sup>Cu. The experimental data were generally consistent but a few data points showed a systematic lower trend in the energy range of 35&#x2013;45&#xa0;MeV investigated at the cyclotron JULIC. <xref ref-type="bibr" rid="B11">Bonardi et al. (2005)</xref> studied this reaction up to 141&#xa0;MeV using thin target foils of Zn. The data were consistent but with large uncertainties in all energy regions. <xref ref-type="bibr" rid="B66">Szelecs&#xe9;nyi et al. (2009)</xref> reported the data for this reaction up to 40&#xa0;MeV. They used enriched <sup>68</sup>Zn (&#x2265;99%) as the target material. Recently two detailed measurements have been reported for this reaction using enriched <sup>68</sup>Zn targets, one by <xref ref-type="bibr" rid="B49">Pupillo et al. (2018)</xref> and the other by <xref ref-type="bibr" rid="B25">Jung et al. (2023)</xref>. <xref ref-type="bibr" rid="B49">Pupillo et al. (2018)</xref> measured the cross sections after radiochemical separation while <xref ref-type="bibr" rid="B25">Jung et al. (2023)</xref> used two analytical methods without radiochemical separation. Both datasets were found to be consistent. All the normalised data are plotted in <xref ref-type="fig" rid="F1">Figure 1</xref> as a function of proton energy. The IAEA evaluated data curves (<ext-link ext-link-type="uri" xlink:href="https://www-nds.iaea.org/relnsd/vcharthtml/MEDVChart.html">Medical Portal (iaea.org)</ext-link>) are also shown in <xref ref-type="fig" rid="F1">Figure 1</xref>. It is evident that those two evaluations are not fully supported by the new data. In particular the updated curve (<xref ref-type="bibr" rid="B68">T&#xe1;rk&#xe1;nyi et al., 2022</xref>) appears to be too low. Considering all the data published we conclude that a new evaluation is necessary using the theory-assisted selection of data. For practical production of <sup>67</sup>Cu via this route, however, the energy range E<sub>p</sub> &#x3d; 80&#x2192;30&#xa0;MeV remains the most suitable (<xref ref-type="bibr" rid="B52">Qaim, 2012</xref>). This method has been practically used in clinical scale production of <sup>67</sup>Cu (<xref ref-type="bibr" rid="B27">Katabuchi et al., 2008</xref>; <xref ref-type="bibr" rid="B36">Medvedev et al., 2012</xref>).</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>Normalised experimental data and IAEA-evaluated reaction cross section curves for the <sup>68</sup>Zn(p,2p)<sup>67</sup>Cu process.</p>
</caption>
<graphic xlink:href="fchem-11-1270351-g001.tif"/>
</fig>
</sec>
</sec>
<sec sec-type="discussion" id="s5">
<title>5 Discussion</title>
<p>The decay data of the 5 radionuclides of copper relevant for theranostic applications are well standardised, except for the intensity of the weak &#x3b3;-line of <sup>64</sup>Cu at 1,345.7&#xa0;keV where some discrepancy exists. This discrepancy needs to be solved, especially because some radionuclide producers use this &#x3b3;-ray for determination of the total radioactivity of <sup>64</sup>Cu.</p>
<p>The data for production of <sup>61</sup>Cu, <sup>62</sup>Cu and <sup>64</sup>Cu via the more common routes are well evaluated. For the standardisation of production cross sections of <sup>60</sup>Cu, however, more measurements are needed. With regard to the data for the production of the therapeutic radionuclide <sup>67</sup>Cu, presently considerable efforts are underway. Standardised data for the reaction <sup>70</sup>Zn(p,x)<sup>67</sup>Cu are available up to 30&#xa0;MeV which consists of the (p,&#x3b1;) reaction. In the higher energy region up to 70&#xa0;MeV, however, the cross section increases rapidly, possibly due to the onset of the many nucleon emission processes like <sup>70</sup>Zn(p,2p2n)<sup>67</sup>Cu. But more measurements and a critical evaluation are needed to obtain standardised data for this process. The presently rather commonly used intermediate reaction <sup>68</sup>Zn(p,2p)<sup>67</sup>Cu was evaluated under two IAEA-CRPs. The newest measurements, however, show some deviations from the evaluated data. A new critical evaluation should thus be very meaningful. In order to estimate the specific activity of the radionuclide produced, it is also imperative to determine via model calculation the inactive material, i.e., <sup>65</sup>Cu, co-produced with the respective radionuclide.</p>
</sec>
</body>
<back>
<sec id="s6">
<title>Author contributions</title>
<p>SQ: Writing&#x2013;original draft, Conceptualization, Supervision, Writing&#x2013;review and editing. IS: Investigation, Writing&#x2013;original draft. MH and MA: Data curation, Writing&#x2013;original draft. BN: Funding acquisition, Writing&#x2013;review and editing.</p>
</sec>
<sec id="s7">
<title>Funding</title>
<p>The author(s) declare that no financial support was received for the research, authorship, and/or publication of this article.</p>
</sec>
<ack>
<p>MH thanks the Alexander von Humboldt Foundation of Germany for a fellowship to carry out this study at FZJ Germany.</p>
</ack>
<sec sec-type="COI-statement" id="s8">
<title>Conflict of interest</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 sec-type="disclaimer" id="s9">
<title>Publisher&#x2019;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
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