{"id":11467,"date":"2020-02-22T12:38:00","date_gmt":"2020-02-22T11:38:00","guid":{"rendered":"http:\/\/www.ehu.eus\/chemistry\/theory\/?p=11467"},"modified":"2026-04-01T11:24:14","modified_gmt":"2026-04-01T09:24:14","slug":"publications-list-piris","status":"publish","type":"post","link":"https:\/\/www.ehu.eus\/chemistry\/theory\/5_kt-seminars\/publications-list-piris\/","title":{"rendered":"Publications List (M. Piris)"},"content":{"rendered":"<p>125. I. Mitxelena, J. F. H. Lew-Yee, M. Piris, &#8220;5- and 6-membered rings: A natural orbital functional study&#8221;, <a href=\"https:\/\/doi.org\/10.1021\/acs.jctc.5c01861\">J. Chem. Theory Comput. <strong>22<\/strong>, 2799-2807(2026)<\/a>; <a href=\"http:\/\/arxiv.org\/abs\/2511.04167\"> arXiv:2511.04167 [physics.chem-ph].<\/a><\/p>\n<p>124. J. F. H. Lew-Yee, I. Mitxelena, J. M. del Campo, M. Piris, &#8220;DoNOF 2.0: A modern Open-Source Electronic Structure Program for Natural Orbital Functionals&#8221;, <a href=\"https:\/\/doi.org\/10.1063\/5.0316927\"> J. Chem. Phys. <strong>164<\/strong>, 072501 (2026)<\/a>; <a href=\"https:\/\/arxiv.org\/abs\/2512.13550\"> arXiv:2512.13550 [physics.chem-ph].<\/a><\/p>\n<p>123. J. F. H. Lew-Yee, M. Piris, &#8220;Metal-Insulator Transition described by Natural Orbital Functional Theory&#8221;, <a href=\"https:\/\/www.revistacubanadefisica.org\/index.php\/rcf\/article\/view\/53\"> Rev. Cubana Fis. <strong>42 <\/strong>(1), 30\u201336 (2025)<\/a>; <a href=\"http:\/\/arxiv.org\/abs\/2505.08397\"> arXiv:2505.08397 [cond-mat.str-el].<\/a><\/p>\n<p>122. J. F. H. Lew-Yee, M. Piris, &#8220;Efficient Energy Measurement of Chemical Systems via One-particle Reduced Density Matrix: A NOF-VQE Approach for Optimized Sampling&#8221;, <a href=\"http:\/\/dx.doi.org\/10.1021\/acs.jctc.4c01734\"> J. Chem. Theory Comput. <strong>21<\/strong>, 2402\u20132413 (2025).<\/a><\/p>\n<p>121. E. Boutou, J. F. H. Lew-Yee, J. M. Mercero, M. Piris, &#8220;Enhancing the Computational Efficiency of the DoNOF Program through a New Orbital Sorting Scheme&#8221;, <a href=\"https:\/\/doi.org\/10.1016\/bs.aiq.2025.03.001\"> Adv. Quantum Chem. <strong>91<\/strong>, 169-189 (2025)<\/a>; <a href=\"http:\/\/arxiv.org\/abs\/2502.01786\"> arXiv:2502.01786 [physics.chem-ph].<\/a><\/p>\n<p>120. J. F. H. Lew-Yee, J. M. del Campo, M. Piris, &#8220;Advancing Natural Orbital Functional Calculations Through Deep Learning-Inspired Techniques for Large-Scale Strongly Correlated Electron Systems&#8221;, <a href=\"https:\/\/doi.org\/10.1103\/PhysRevLett.134.206401\"> Phys. Rev. Lett. <strong>134<\/strong>, 206401 (2025)<\/a>; <a href=\"http:\/\/arxiv.org\/abs\/2411.18493\"> arXiv:2411.18493 [physics.chem-ph].<\/a><\/p>\n<p>119. M. Piris, X. Lopez, J. M. Ugalde &#8220;Time-Resolved Chemical Bonding Structure Evolution by Direct-Dynamics Chemical Simulations&#8221;, <a href=\"https:\/\/doi.org\/10.1021\/acs.jpclett.4c03010\"> J. Phys. Chem. Lett. <strong>15<\/strong>, 12138\u221212143 (2024).<\/a><\/p>\n<p>118. M. Piris, &#8220;Exploring the Potential of Natural Orbital Functionals&#8221;, <a href=\"http:\/\/dx.doi.org\/10.1039\/D4SC05810K\"> Chem. Sci. <strong>15<\/strong>, 17284-17291 (2024)<\/a>; <a href=\"http:\/\/dx.doi.org\/10.26434\/chemrxiv-2024-qhg51\">chemrxiv-2024-qhg51<\/a><\/p>\n<p>117. L. Franco, I. A. Bonfil-Rivera, J. F. H. Lew-Yee, M. Piris, J. M. del Campo, R. A. Vargas-Hern\u00e1ndez, &#8220;Softmax parameterization of the occupation numbers for natural orbital functionals based on electron pairing approaches&#8221;, <a href=\"http:\/\/dx.doi.org\/10.1063\/5.0213719\"> J. Chem. Phys. <strong>160<\/strong>, 244107 (2024); <\/a><a href=\"http:\/\/arxiv.org\/abs\/2403.09463\"> arXiv:2403.09463 [physics.chem-ph]. <\/a><\/p>\n<p>116. L. Montero-Cabrera, A. Montero-Alejo, A. Aspuru-Guzik, J. Garcia de la Vega, M. Piris, L. D\u00edaz-Fern\u00e1ndez, Y. P\u00e9rez-Badell, A. Guerra-Barroso, J. Alfonso-Ramos, J. Rodr\u00edguez, M. Fuentes-Montero, C. de Armas, &#8220;Alternative CNDOL Fockians for fast and accurate description of molecular exciton properties&#8221;, <a href=\"http:\/\/dx.doi.org\/10.1063\/5.0208809\"> J. Chem. Phys. <strong>160<\/strong>, 214108 (2024).<\/a><\/p>\n<p>115. I. Mitxelena, M. Piris, &#8220;Assessing the Global Natural Orbital Functional Approximation on Model Systems with Strong Correlation&#8221;, <a href=\"http:\/\/dx.doi.org\/10.1063\/5.0207325\"> J. Chem. Phys. <strong>160<\/strong>, 204106 (2024); <\/a><a href=\"http:\/\/arxiv.org\/abs\/2403.03554\"> arXiv:2403.03554 [physics.chem-ph]. <\/a><\/p>\n<p>114. M. Piris, &#8220;Advances in Approximate Natural Orbital Functionals: From Historical Perspectives to Contemporary Developments &#8220;, <a href=\"http:\/\/dx.doi.org\/10.1016\/bs.aiq.2024.04.002\"> Adv. Quantum Chem. <strong>90<\/strong>, 15-66 (2024).<\/a>; <a href=\"http:\/\/arxiv.org\/abs\/2312.07163\"> arXiv:2312.07163 [physics.chem-ph].<\/a><\/p>\n<p>113. J. F. H. Lew-Yee, I. A. Bonfil-Rivera, M. Piris, J. M. del Campo, &#8220;Excited states by coupling Piris natural orbital functionals with extended random phase approximation&#8221;, <a href=\"http:\/\/dx.doi.org\/10.1021\/acs.jctc.3c01194\"> J. Chem. Theory Comput. <strong>20<\/strong>, 2140\u20132151 (2024); <\/a><a href=\"http:\/\/arxiv.org\/abs\/2311.05504\"> arXiv:2311.05504 [physics.chem-ph]. <\/a><\/p>\n<p>112. A. Rivero-Santamar\u00eda, M. Piris, &#8220;Time evolution of natural orbitals in ab initio molecular dynamics&#8221;, <a href=\"http:\/\/dx.doi.org\/10.1063\/5.0188491\"> J. Chem. Phys. <strong>160<\/strong>, 071102 (2024); <\/a><a href=\"http:\/\/arxiv.org\/abs\/2311.04802\"> arXiv:2311.04802 [physics.chem-ph]. <\/a><\/p>\n<p>111. J. M. Mercero, R. Grande-Aztatzi, J. M. Ugalde, M. Piris, &#8220;Natural Orbital Functional Theory Studies of All-Metal Aromaticity. The Al3 anion&#8221;, <a href=\"https:\/\/doi.org\/10.1016\/bs.aiq.2023.02.006\"> Adv. Quantum Chem. <strong>88<\/strong>, 229-248 (2023).<\/a><\/p>\n<p>110. J. F. H. Lew-Yee, M. Piris, J. M. del Campo, &#8220;Outstanding Improvement in Removing the Delocalization Error by Global Natural Orbital Functional&#8221;, <a href=\"http:\/\/dx.doi.org\/10.1063\/5.0137378\"> J. Chem. Phys. <strong>158<\/strong>, 084110 (2023); <\/a><a href=\"http:\/\/arxiv.org\/abs\/2212.01597\"> arXiv:2212.01597 [physics.chem-ph]. <\/a><\/p>\n<p>109. J. F. H. Lew-Yee, J. M. del Campo, M. Piris, &#8220;Electron correlation in the Iron(II) Porphyrin by NOF approximations&#8221;, <a href=\"http:\/\/dx.doi.org\/10.1021\/acs.jctc.2c01093\"> J. Chem. Theory Comput. <strong>19<\/strong>, 211\u2013220 (2023)<\/a>; <a href=\"http:\/\/arxiv.org\/abs\/2212.01640\"> arXiv:2212.01640 [physics.chem-ph].<\/a><\/p>\n<p>108. I. Mitxelena, M. Piris, &#8220;Benchmarking GNOF against FCI in challenging systems in one, two and three dimensions&#8221;, <a href=\"http:\/\/dx.doi.org\/10.1063\/5.0092611\"> J. Chem. Phys. <strong>156<\/strong>, 214102 (2022)<\/a>; <a href=\"https:\/\/arxiv.org\/abs\/2203.12447\"> arXiv:2203.12447 [physics.chem-ph].<\/a><\/p>\n<p>107. M. Piris, &#8220;Global Natural Orbital Functional: Towards the Complete Description of the Electron Correlation&#8221;, <a href=\"http:\/\/dx.doi.org\/10.1103\/PhysRevLett.127.233001\"> Phys. Rev. Lett. <strong>127<\/strong>, 233001 (2021)<\/a>; <a href=\"https:\/\/arxiv.org\/abs\/2112.02119\"> arXiv:2112.02119 [physics.chem-ph].<\/a>.<\/p>\n<p>106. M. Rodr\u00edguez-Mayorga, I. Mitxelena, F. Bruneval, M. Piris, &#8220;Coupling Natural Orbital Functional Theory and Many-Body Perturbation Theory by Using Nondynamically Correlated Canonical Orbitals&#8221;, <a href=\"https:\/\/doi.org\/10.1021\/acs.jctc.1c00858\"> J. Chem. Theory Comput. <strong>17<\/strong>, 7562\u20137574 (2021)<\/a>;<a href=\"https:\/\/investigacion.unirioja.es\/documentos\/61d0d17d2c8e992667eefd10\"> Open Access <\/a><\/p>\n<p>105. J. M. Mercero, J. M. Ugalde, M. Piris, &#8220;Chemical Reactivity Studies by the Natural-Orbital-Functional 2nd-Order-M\u00f8ller-Plesset (NOF-MP2) method. Water Dehydrogenation by the Scandium Cation&#8221;, <a href=\"http:\/\/dx.doi.org\/\/10.1007\/s00214-021-02775-4\"> Theor. Chem. Acc. <strong>140<\/strong>, 74 (2021)<\/a>; <a href=\"https:\/\/arxiv.org\/abs\/2012.13202\"> arXiv:2012.13202 [physics.chem-ph]. <\/a><\/p>\n<p>104. J. F. H. Lew-Yee, M. Piris, J. M. del Campo, &#8220;Resolution of the identity approximation applied to PNOF correlation calculations&#8221;, <a href=\"http:\/\/dx.doi.org\/\/10.1063\/5.0036404\"> J. Chem. Phys. <strong>154<\/strong>, 064102 (2021)<\/a>; <a href=\"https:\/\/arxiv.org\/abs\/2012.15662\"> arXiv:2012.15662 [physics.chem-ph]. <\/a><\/p>\n<p>103. R. Quintero-Monsebaiz, L. I. Perea-Ram\u00edrez, M. Piris, A. Vela, &#8220;Spectroscopic properties of open shell diatomic molecules using Piris Natural Orbital Functionals&#8221;, <a href=\"http:\/\/dx.doi.org\/10.1039\/D0CP05430E\"> Phys. Chem. Chem. Phys. <strong>23<\/strong>, 2953-2963 (2021).<\/a><\/p>\n<p>102. M. Piris, I. Mitxelena, \u201cDoNOF: an open-source implementation of natural-orbital-functional-based methods for quantum chemistry\u201d, <a href=\"http:\/\/dx.doi.org\/10.1016\/j.cpc.2020.107651\"> Comp. Phys. Comm. <strong>259<\/strong>, 107651 (2021)<\/a>, <a href=\"https:\/\/codeocean.com\/capsule\/d74a4cc9-04f3-435a-aa13-cbde389333f1\/\">Code Ocean Capsule<\/a>; <a href=\"https:\/\/arxiv.org\/abs\/2004.06142\"> arXiv:2004.06142 [physics.comp-ph].<\/a><\/p>\n<p>101. I. Mitxelena, M. Piris, &#8220;Analytic gradients for spin multiplets in natural orbital functional theory&#8221;, <a href=\"http:\/\/dx.doi.org\/\/10.1063\/5.0012897\"> J. Chem. Phys. <strong>153<\/strong>, 044101 (2020)<\/a>; <a href=\"https:\/\/arxiv.org\/abs\/2005.02333\"> arXiv:2005.02333 [physics.chem-ph]. <\/a><\/p>\n<p>100. I. Mitxelena, M. Piris, \u201cAn efficient method for strongly correlated electrons in two dimensions\u201d, <a href=\"http:\/\/dx.doi.org\/10.1063\/1.5140985\"> J. Chem. Phys. <strong>152<\/strong>, 064108 (2020)<\/a>; <a href=\"https:\/\/arxiv.org\/abs\/1911.10157\"> arXiv:1911.10157[cond-mat.str-el].<\/a><\/p>\n<p>99. I. Mitxelena, M. Piris, \u201cAn efficient method for strongly correlated electrons in one dimension\u201d, <a href=\"https:\/\/doi.org\/10.1088\/1361-648X\/ab6d11\"> J. Phys.: Condens. Matter <strong>32<\/strong>, 17LT01 (2020)<\/a>; <a href=\"https:\/\/arxiv.org\/abs\/1912.09312\"> arXiv:1912.09312[cond-mat.str-el].<\/a><\/p>\n<p>98. M. Piris, &#8220;Natural Orbital Functional for Multiplets&#8221;, <a href=\"http:\/\/dx.doi.org\/10.1103\/PhysRevA.100.032508\">Phys. Rev. A <strong>100<\/strong>, 032508 (2019)<\/a>; <a href=\"https:\/\/arxiv.org\/abs\/1908.05501\"> arXiv:1908.05501 [physics.chem-ph].<\/a><\/p>\n<p>97. X. Lopez, M. Piris, &#8220;Performance of the NOF-MP2 method in hydrogen abstraction reactions&#8221;, <a href=\"http:\/\/dx.doi.org\/10.1007\/s00214-019-2475-5\">Theor. Chem. Acc. <strong>138<\/strong>, 89 (2019)<\/a>; <a href=\"https:\/\/arxiv.org\/abs\/1906.04432\"> arXiv:1906.04432 [physics.chem-ph].<\/a><\/p>\n<p>96. I. Mitxelena, M. Piris, J. M. Ugalde, \u201cAdvances in Approximate Natural Orbital Functional Theory\u201d, in State of The Art of Molecular Electronic Structure Computations: Correlation Methods, Basis Sets and More, edited\u00a0by\u00a0Philip Hoggan and Ugo Ancarani, <a href=\"http:\/\/dx.doi.org\/10.1016\/bs.aiq.2019.04.001\"> Adv. Quantum Chem. <strong>79<\/strong>, 155-177 (2019). ISBN: 9780128161746. <\/a> <a href=\"http:\/\/dx.doi.org\/10.1016\/bs.aiq.2019.04.001\"> DOI: 10.1016\/bs.aiq.2019.04.001 <\/a><\/p>\n<p>95. R. Quintero-Monsebaiz, I. Mitxelena, M. Rodr\u00edguez-Mayorga, A. Vela, M. Piris, \u201cNatural orbital functional for spin-polarized periodic systems\u201d, <a href=\"http:\/\/dx.doi.org\/10.1088\/1361-648X\/ab0170\"> J. Phys.: Condens. Matter <strong>31<\/strong>, 165501 (2019)<\/a>; <a href=\"https:\/\/arxiv.org\/abs\/1901.06942\"> arXiv:1901.06942 [physics.chem-ph].<\/a><\/p>\n<p>94. M. Piris, \u201cDynamic electron-correlation energy in the NOF-MP2 method from the orbital-invariant perturbation theory\u201d, <a href=\"http:\/\/dx.doi.org\/10.1103\/PhysRevA.98.022504\"> Phys. Rev. A <strong>98<\/strong>, 022504 (2018)<\/a>; <a href=\"https:\/\/arxiv.org\/abs\/1808.06070\"> arXiv:1808.06070 [physics.chem-ph].<\/a><\/p>\n<p>93. I. Mitxelena, M. Rodr\u00edguez-Mayorga, M. Piris, \u201cPhase Dilemma in Natural Orbital Functional Theory from the N-representability Perspective\u201d, <a href=\"http:\/\/dx.doi.org\/10.1140\/epjb\/e2018-90078-8\"> Eur. Phys. J. B <strong>91<\/strong>, 109 (2018)<\/a>; <a href=\"https:\/\/arxiv.org\/abs\/1804.06282\"> arXiv:1804.06282[physics.chem-ph].<\/a><\/p>\n<p>92. I. Mitxelena, M. Piris, \u201cAnalytic second-order energy derivatives in natural orbital functional theory\u201d, <a href=\"http:\/\/dx.doi.org\/10.1007\/s10910-018-0870-0\"> J. Math. Chem. <strong>56<\/strong>, 1445-1455 (2018)<\/a>; <a href=\"https:\/\/arxiv.org\/abs\/1802.05887\"> arXiv:1802.05887[physics.chem-ph].<\/a><\/p>\n<p>91. M. Piris, &#8220;The role of the N-representability in one-particle functional theories&#8221; in Many-body approaches at different scales: a tribute to N. H. March on the occasion of his 90th birthday, edited by G. G. N. Angilella and C. Amovilli. <a href=\"http:\/\/www.springer.com\/gp\/book\/9783319723730\"> Chapter 22, pp. 261-278. New York: Springer (2018).\u00a0ISBN:\u00a0978-3-319-72373-0, 978-3-319-72374-7. <\/a> <a href=\"http:\/\/dx.doi.org\/10.1007\/978-3-319-72374-7\"> DOI: 10.1007\/978-3-319-72374-7 <\/a><\/p>\n<p>90. M. Piris, &#8220;The electron pairing approach in Natural Orbital Functional Theory&#8221; in Theoretical and Quantum Chemistry at the Dawn of the 21st Century, edited by Ramon Carb\u00f3-Dorca and Tanmoy Chakraborty. <a href=\"http:\/\/www.appleacademicpress.com\/quantum-chemistry-at-the-dawn-of-the-21st-century-\/9781771886826\"> Series: Innovations in Computational Chemistry. Chapter\u00a022, pp. 593-620. Apple Academic Press (2018). ISBN:\u00a09781771886826. <\/a> <a href=\"http:\/\/dx.doi.org\/10.1201\/9781351170963\"> DOI: 10.1201\/9781351170963 <\/a><\/p>\n<p>89. I. Mitxelena, M. Piris, M. A. Rodr\u00edguez-Mayorga, \u201cCorrigendum: On the performance of Natural Orbital Functional Approximations in Hubbard model (2017 J. Phys.: Condens. Matter 29 425602)\u201d, <a href=\"http:\/\/dx.doi.org\/10.1088\/1361-648X\/aaa659\"> J. Phys.: Condens. Matter <strong>30<\/strong>, 089501 (2018).<\/a><\/p>\n<p>88. M. Piris, K. Pernal, Comment on &#8220;Generalization of the Kohn-Sham system that can represent arbitrary one-electron density matrices&#8221;, <a href=\"http:\/\/dx.doi.org\/10.1103\/PhysRevA.96.046501\"> Phys. Rev. A <strong>96<\/strong>, 046501 (2017)<\/a>; <a href=\"https:\/\/arxiv.org\/abs\/1710.07221\"> arXiv:1710.07221 [physics.chem-ph].<\/a><\/p>\n<p>87. M. Rodr\u00edguez-Mayorga, E. Ramos-Cordoba, M. Via-Nadal, M. Piris, E. Matito, \u201cComprehensive benchmarking of density matrix functional approximations\u201d, <a href=\"http:\/\/dx.doi.org\/10.1039\/C7CP03349D\"> Phys. Chem. Chem. Phys. <strong>19<\/strong>, 24029-24041 (2017).<\/a><\/p>\n<p>86. I. Mitxelena, M. Piris, M. A. Rodr\u00edguez-Mayorga, \u201cOn the performance of Natural Orbital Functional Approximations in Hubbard model\u201d, <a href=\"http:\/\/dx.doi.org\/10.1088\/1361-648X\/aa80ca\"> J. Phys.: Condens. Matter <strong>29<\/strong>, 425602 (2017)<\/a>;<a href=\"https:\/\/investigacion.unirioja.es\/documentos\/5f1cdbe729995265e44d523f\"> Open Access<\/a><\/p>\n<p>85. M. Piris, \u201cGlobal Method for Electron Correlation\u201d, <a href=\"http:\/\/dx.doi.org\/10.1103\/PhysRevLett.119.063002\"> Phys. Rev. Lett. <strong>119<\/strong>, 063002 (2017)<\/a>; <a href=\"https:\/\/arxiv.org\/abs\/1708.03719v1\"> arXiv:1708.03719 [physics.chem-ph].<\/a><\/p>\n<p>84. I. Mitxelena, M. Piris, \u201cAnalytic gradients for natural orbital functional theory\u201d, <a href=\"http:\/\/dx.doi.org\/10.1063\/1.4973271\"> J. Chem. Phys. <strong>146<\/strong>, 014102 (2017)<\/a>; <a href=\"http:\/\/arxiv.org\/abs\/1612.04673\"> arXiv:1612.04673 [physics.chem-ph].<\/a><\/p>\n<p>83. L. A. Montero-Cabrera, Y. P\u00e9rez-Badell, M. Piris, A. L. Montero-Alejo, J. M. Garc\u00eda de la Vega, A. J. C. Varandas, &#8220;Similarity measures between excited singlet and triplet electron densities in linear acenes. An application to singlet fission&#8221;, <a href=\"http:\/\/dx.doi.org\/10.1080\/00268976.2016.1255799\">Mol. Phys. <strong>114<\/strong>, 3650-3657 (2016) <\/a>.<\/p>\n<p>82. I. Mitxelena, M. Piris, \u201cMolecular Electric Moments calculated by using Natural Orbital Functional Theory\u201d, <a href=\"http:\/\/dx.doi.org\/10.1063\/1.4951685\"> J. Chem. Phys. <strong>144<\/strong>, 204108 (2016)<\/a>; <a href=\"http:\/\/arxiv.org\/abs\/1608.03167\"> arXiv:1608.03167 [physics.chem-ph].<\/a><\/p>\n<p>81. M. Piris, N. H. March, \u201cPotential energy curves for P2 and P2+ constructed from a strictly N-representable natural orbital functional\u201d, <a href=\"http:\/\/dx.doi.org\/10.1080\/00319104.2016.1166364\"> Physics and Chemistry of Liquids <strong>54<\/strong>, 797 (2016)<\/a>; <a href=\"http:\/\/arxiv.org\/abs\/1608.03183\"> arXiv:1608.03183 [physics.chem-ph].<\/a><\/p>\n<p>80. A. Deveson, D. Cremer, G. Frenking, M. Piris, S. Shaik, \u201cWhy Does C2 Cause so Many Problems?\u201d,\u00a0 <a href=\"http:\/\/dx.doi.org\/10.1002\/chemv.201600022\">ChemistryViews (2016)<\/a>.<\/p>\n<p>79. M.\u00a0Piris, X. Lopez, J. M.\u00a0Ugalde, \u201cThe Bond Order of C2 from an Strictly N-Representable Natural Orbital Energy Functional Perspective\u201d,\u00a0 <a href=\"http:\/\/dx.doi.org\/10.1002\/chem.201504491\">Chemistry -\u00ad\u00a0A\u00a0European\u00a0Journal\u00a0<strong>22<\/strong>,\u00a04109 (2016)<\/a>.<\/p>\n<p>78. M. Piris, N. H. March, \u201cChemical and Ionization Potentials: Relation via the Pauli Potential and NOF Theory\u201d, <a href=\"http:\/\/dx.doi.org\/10.1002\/qua.25039\"> Int. J. Quantum Chem. <strong> 116<\/strong>, 805-818 (2016)<\/a>.<\/p>\n<p>77. J. Cioslowski, M. Piris, E. Matito, &#8220;Robust validation of approximate 1-matrix functionals with few-electron Harmonium atoms&#8221;, <a href=\"http:\/\/dx.doi.org\/10.1063\/1.4936583\">J. Chem. Phys.<strong> 143<\/strong>, 214101 (2015)<\/a>; <a href=\"http:\/\/arxiv.org\/abs\/1511.06564\"> arXiv:1511.06564 [physics.chem-ph]<\/a>.<\/p>\n<p>76. X. Lopez, M. Piris, &#8220;PNOF5 Calculations Based on the &#8220;Thermodynamic Fragment Energy Method&#8221;: CnH2n+2 (n=1,10) and (FH)n (n=1,8) as test cases&#8221;, <a href=\"http:\/\/dx.doi.org\/10.1007\/s00214-015-1756-x\">Theor. Chem. Acc. <strong>134<\/strong>, 151 (2015)<\/a>.<\/p>\n<p>75. M. Piris, N. H. March, \u201cLow-lying Isomers of Free-space Halogen Clusters with Tetrahedral and Octahedral Symmetry in Relation to Stable Molecules Such as SF<sub>6<\/sub>\u201d, <a href=\"http:\/\/dx.doi.org\/10.1021\/acs.jpca.5b02788\"> J. Phys. Chem. A <strong>119<\/strong>, 10190 (2015) <\/a>.<\/p>\n<p>74. E. Ramos-Cordoba, X. Lopez, M. Piris, E. Matito, \u201cH4: A Challenging System For Natural Orbital Functional Approximations\u201d, <a href=\"http:\/\/dx.doi.org\/10.1063\/1.4934799\"> J. Chem. Phys. <strong>143<\/strong>, 164112 (2015)<\/a>; <a href=\"http:\/\/arxiv.org\/abs\/1507.08244\"> arXiv:1507.08244 [physics.chem-ph]<\/a>.<\/p>\n<p>73. X. Lopez, M. Piris, F. Ruip\u00e9rez, J. M. Ugalde, \u201cPerformance of PNOF6 for Hydrogen Abstraction Reactions\u201d, <a href=\"http:\/\/dx.doi.org\/10.1021\/acs.jpca.5b01585\"> J. Phys. Chem. A <strong>119<\/strong>, 6981 (2015) <\/a>.<\/p>\n<p>72. M. Piris, N. H. March, \u201cIs the Hartree-Fock prediction that the chemical potential \u03bc of non-relativistic neutral atoms is equal to minus the ionization potential I sensitive to electron correlation?\u201d, <a href=\"http:\/\/dx.doi.org\/10.1080\/00319104.2015.1029478\"> Physics and Chemistry of Liquids <strong>53<\/strong>, 696 (2015) <\/a>.<\/p>\n<p>71. E. Ramos-Cordoba, P. Salvador, M. Piris, E. Matito, \u201cTwo new constraints for the cumulant matrix\u201d, <a href=\"http:\/\/dx.doi.org\/10.1063\/1.4903449\"> J. Chem. Phys. <strong>141<\/strong>, 234101 (2014) <\/a>.<\/p>\n<p>70. M. Piris, \u201cInteracting pairs in natural orbital functional theory\u201d, <a href=\"http:\/\/dx.doi.org\/10.1063\/1.4890653\"> J. Chem. Phys. <strong>141<\/strong>, 044107 (2014) <\/a>.<\/p>\n<p>69. M. Piris, N. H. March, \u201cWeizs\u00e4cker inhomogeneity kinetic energy term for the inhomogeneous electron liquid characterizing some thirty homonuclear diatomic molecules at equilibrium and insight into Teller&#8217;s theorem in Thomas-Fermi statistical theory\u201d, <a href=\"http:\/\/dx.doi.org\/10.1080\/00319104.2014.937865\"> Physics and Chemistry of Liquids <strong>52<\/strong>, 804 (2014) <\/a>.<\/p>\n<p>68. M. Piris, J. M. Ugalde, \u201cPerspective on Natural Orbital Functional Theory\u201d, <a href=\"http:\/\/dx.doi.org\/10.1002\/qua.24663\"> Int. J. Quantum Chem. <strong>114<\/strong>, 1169 (2014) <\/a>.<\/p>\n<p>67. M. Piris, F. Ruip\u00e9rez, J. M. Matxain, \u201cAssessment of the second-order perturbative corrections to PNOF5\u201d, <a href=\"http:\/\/dx.doi.org\/10.1080\/00268976.2013.854933\">Mol. Phys. <strong>112<\/strong>, 711 (2014) <\/a>.<\/p>\n<p>66. X. Lopez, M. Piris, M. Nakano, B. Champagne, &#8220;Natural Orbital Functional Calculations of Molecular Polarizabilities and Second Hyperpolarizabilities. Hydrogen Molecule as a Test Case&#8221;, <a href=\"http:\/\/dx.doi.org\/10.1088\/0953-4075\/47\/1\/015101\">J. Phys. B:\u00a0\u00a0At. Mol. Opt. Phys. <strong>47<\/strong>, 015101 (2014) <\/a>.<\/p>\n<p>65. M. Piris, J. M. Matxain, X. Lopez, J. M. Ugalde, &#8220;The one-electron picture in the Piris Natural Orbital Functional 5 (PNOF5)&#8221;, <a href=\"http:\/\/www.springer.com\/la\/book\/9783642412714\">Book Series: Highlights in Theoretical Chemistry <strong> 5<\/strong>, 5-15 (2014), ISBN: 978-3-642-41271-4; 978-3-642-41272-1<\/a>.<\/p>\n<p>64. M. Piris, J. M. Matxain, X. Lopez, &#8220;The intrapair electron correlation in natural orbital functional theory&#8221;, <a href=\"http:\/\/dx.doi.org\/10.1063\/1.4844075\">J. Chem. Phys. <\/a><a href=\"http:\/\/dx.doi.org\/10.1063\/1.4844075\"> <strong>139<\/strong>, 234109<\/a><a href=\"http:\/\/dx.doi.org\/10.1063\/1.4844075\"> (2013)<\/a>.<\/p>\n<p>63. E. Jimenez-Izal, J. M. Matxain, M. Piris, J. M. Ugalde, \u201cSecond-row Transition-Metal Doping of (ZnS)i, i=12,16, Nanoclusters. Structural and Magnetic Properties\u201d, <a href=\"http:\/\/dx.doi.org\/10.3390\/computation1030031\">Computation <strong>1<\/strong>, 31 (2013)<\/a>.<\/p>\n<p>62. M. Piris, \u201cInterpair electron correlation by second-order perturbative corrections to PNOF5\u201d,\u00a0<a href=\"http:\/\/dx.doi.org\/10.1063\/1.4817946\">J. Chem. Phys. <strong>139<\/strong>, 064111 (2013)<\/a>.<\/p>\n<p>61. J. M. Matxain, F. Ruip\u00e9rez, I. Infante, X. Lopez, J. M. Ugalde, G. Merino, M. Piris, \u201cCommunications: Chemical bonding in carbon dimer isovalent series from the natural orbital functional theory perspective\u201d,\u00a0<a href=\"http:\/\/dx.doi.org\/10.1063\/1.4802585\">J. Chem. Phys. <strong>138<\/strong>,\u00a0151102 (2013)<\/a>.<\/p>\n<p>60. F. Ruip\u00e9rez, M. Piris, J. M. Ugalde, J. M. Matxain, \u201cThe natural orbital functional theory of the bonding in Cr2, Mo2 and W2\u201d,\u00a0<a href=\"http:\/\/dx.doi.org\/10.1039\/C2CP43559D\">Phys. Chem. Chem. Phys. <strong>15<\/strong>, 2055 (2013)<\/a>.<\/p>\n<p>59. M. Piris, J. M. Matxain, X. Lopez, J. M. Ugalde, &#8220;The one-electron picture in the Piris Natural Orbital Functional 5 (PNOF5)&#8221;, <a href=\"http:\/\/dx.doi.org\/10.1007\/s00214-012-1298-4\">Theor. Chem. Acc.<strong> 132<\/strong>, 1298 (2013)<\/a>.<\/p>\n<p>58. J. M. Matxain, F. Ruip\u00e9rez, M. Piris, &#8220;Computational Study of Be2 using Piris Natural Orbital Functionals&#8221;,<a href=\"http:\/\/dx.doi.org\/10.1007\/s00894-012-1548-3\"> J. Mol. Model. <strong>19<\/strong>, 1967 (2013)<\/a>.<\/p>\n<p>57. M. Piris, &#8220;Bounds on the PNOF5 natural geminal occupation numbers&#8221;, <a href=\"http:\/\/dx.doi.org\/10.1016\/j.comptc.2012.07.016\">Comput. Theor. Chem. <strong>1003<\/strong>, 123 (2013)<\/a>.<\/p>\n<p>56. M. Piris, \u201cA natural orbital functional based on an explicit approach of the two-electron cumulant\u201d,<a href=\"http:\/\/dx.doi.org\/10.1002\/qua.24020\"> Int. J. Quantum Chem. <strong>113<\/strong>, 620 (2013).<\/a><\/p>\n<p>55. X. Lopez, F. Ruip\u00e9rez, M. Piris, J. M. Matxain, E. Matito, J. M. Ugalde, &#8220;Performance of PNOF5 for radical formation reactions: Hydrogen atom abstraction, C-C and O-O homolytic bond cleavage in selected molecules&#8221;,\u00a0<a href=\"http:\/\/dx.doi.org\/10.1021\/ct300414t\">J. Chem. Theory Comput. <strong> 8<\/strong>, 2646 (2012)<\/a>.<\/p>\n<p>54. E. Jimenez-Izal, J. M. Matxain, M. Piris, J. M. Ugalde, \u201cSelf-assembling endohedrally doped CdS nanoclusters: new porous solid phases of CdS\u201d,\u00a0<a href=\"http:\/\/dx.doi.org\/10.1039\/c2cp41273j\">Phys. Chem. Chem. Phys. <strong>14<\/strong>, 9676 (2012)<\/a>.<\/p>\n<p>53. M. Piris, J. M. Matxain, X. Lopez, J. M. Ugalde, \u201cThe extended Koopmans&#8217; theorem: vertical ionization potentials from Natural Orbital Functional Theory\u201d,\u00a0<a href=\"http:\/\/dx.doi.org\/10.1063\/1.4709769\">J. Chem. Phys. <strong>136<\/strong>, 174116 (2012)<\/a>.<\/p>\n<p>52. J. M. Matxain, M. Piris, J. Uranga, X. Lopez, G. Merino, J. M. Ugalde, &#8220;The Nature of the Chemical Bonds from PNOF5 calculations&#8221;, <a href=\"http:\/\/dx.doi.org\/10.1002\/cphc.201200205\">ChemPhysChem. <strong> 13<\/strong>, 2297 (2012)<\/a>.<\/p>\n<p>51. J. M. Matxain, M. Piris, J. M. Mercero, X. Lopez, J. M. Ugalde, &#8220;sp3 hybrid orbitals and ionization energies of methane from PNOF5&#8221;, <a href=\"http:\/\/dx.doi.org\/10.1016\/j.cplett.2012.02.041\">Chem. Phys. Lett. <strong>531<\/strong>, 272 (2012)<\/a>.<\/p>\n<p>50. J. M. Matxain, M. Piris, F. Ruip\u00e9rez, X. Lopez, J. M. Ugalde, \u201cFront cover article: Homolytic molecular dissociation in natural orbital functional theory\u201d,\u00a0 <a href=\"http:\/\/dx.doi.org\/10.1039\/C1CP21696A\">Phys. Chem. Chem. Phys. <strong>13<\/strong>, 20129 (2011).<\/a><\/p>\n<p>49. M.\u00a0Piris,\u00a0X.\u00a0Lopez,\u00a0F.\u00a0Ruip\u00e9rez,\u00a0J.\u00a0M.\u00a0Matxain,\u00a0J.M.\u00a0Ugalde,\u00a0\u201cA\u00a0natural\u00a0orbital\u00a0functional\u00a0for multiconfigurational\u00a0states\u201d,\u00a0<a href=\"http:\/\/dx.doi.org\/10.1063\/1.3582792\">J. Chem. Phys. <strong>134<\/strong>, 164102 (2011).<\/a><\/p>\n<p>48. X.\u00a0Lopez,\u00a0M.\u00a0Piris,\u00a0J.\u00a0M.\u00a0Matxain,\u00a0F.\u00a0Ruip\u00e9rez,\u00a0J.\u00a0M.\u00a0Ugalde,\u00a0\u201cNatural orbital functional theory and reactivity studies of diradical rearrangements: ethylene torsion as a case study\u201d, <a href=\"http:\/\/dx.doi.org\/10.1002\/cphc.201100190\">ChemPhysChem. <strong>12<\/strong>, 1673 (2011) <\/a>.<\/p>\n<p>47. E. Jimenez-Izal, J. M. Matxain, M. Piris, J. M. Ugalde, &#8220;Thermal stability of endohedral first-row transition-metal TM@ZniSi structures, i=12, 16&#8221;, <a href=\"http:\/\/dx.doi.org\/10.1021\/jp108640w\">Journal\u00a0of\u00a0Physical\u00a0Chemistry\u00a0C <strong>115<\/strong>, 7829 (2011)<\/a>.<\/p>\n<p>46. X. Lopez, F. Ruip\u00e9rez, M. Piris, J. M. Matxain, J. M. Ugalde, \u201cDiradicals and diradicaloids in Natural Orbital Functional Theory \u201d, <a href=\"http:\/\/dx.doi.org\/10.1002\/cphc.201100136\">ChemPhysChem. <strong>12<\/strong>, 1061 (2011) <\/a>.<\/p>\n<p>45. M. Piris, J. M. Matxain, X. Lopez, J. M. Ugalde, \u201cCommunications: The role of the positivity N-representability conditions in Natural Orbital Functional Theory\u201d,\u00a0<a href=\"http:\/\/dx.doi.org\/10.1063\/1.3481578\">J. Chem. Phys. <strong>133<\/strong>, 111101 (2010)<\/a>.<\/p>\n<p>44. J. M. Matxain, M. Piris, X. Lopez, J. M. Ugalde, \u201cComplete Basis Set Calculations by PNOF3\u201d, <a href=\"http:\/\/dx.doi.org\/10.1016\/j.cplett.2010.09.004\">Chem. Phys. Lett. <strong>499<\/strong>, 164 (2010)<\/a>.<\/p>\n<p>43. X. Lopez, M. Piris, J. M. Matxain, J. M. Ugalde, \u201cFront cover article: Performance of PNOF3 for reactivity studies: X[BO] and X[CN] isomerization reactions (X=H,Li) as a case study\u201d,\u00a0<a title=\"Positivity conditions in NOFT\" href=\"http:\/\/dx.doi.org\/10.1039\/c003379k\" rel=\"nofollow\">Phys. Chem. Chem. Phys. <strong>12<\/strong>, 12931, (2010)<\/a>.<\/p>\n<p>42. E.\u00a0Jimenez-Izal,\u00a0J.M.\u00a0Matxain,\u00a0M.\u00a0Piris,\u00a0J.M.\u00a0Ugalde,\u00a0\u201cStructure\u00a0and stability\u00a0of\u00a0the endohedrally doped\u00a0(X@CdS),\u00a0X=\u00a0Na,\u00a0K,\u00a0Cl,\u00a0Br, nanoclusters\u201d,\u00a0<a href=\"http:\/\/dx.doi.org\/10.1021\/jp909357c\">Journal\u00a0of\u00a0Physical\u00a0Chemistry\u00a0C <strong>114<\/strong>, 2476 (2010)<\/a>.<\/p>\n<p>41. M.\u00a0Piris,\u00a0J.M\u00a0Matxain,\u00a0X.\u00a0Lopez,\u00a0J.M.\u00a0Ugalde,\u00a0\u201cCommunications:\u00a0Accurate\u00a0description\u00a0of atoms and molecules by natural orbital functional\u00a0theory\u201d,\u00a0<a href=\"http:\/\/dx.doi.org\/10.1063\/1.3298694\">Journal\u00a0of\u00a0Chemical\u00a0Physics\u00a0<strong>132<\/strong>, 031103\u00a0(2010)<\/a>.<\/p>\n<p>40. M.\u00a0Piris,\u00a0J.M\u00a0Matxain,\u00a0X.\u00a0Lopez,\u00a0J.M.\u00a0Ugalde,\u00a0\u201cCommunications:\u00a0Spin\u00a0conserving\u00a0natural orbital functional theory\u201d,\u00a0<a href=\"http:\/\/dx.doi.org\/10.1063\/1.3180958\">Journal\u00a0of\u00a0Chemical\u00a0Physics\u00a0<strong>131<\/strong>,\u00a0021102\u00a0(2009)<\/a>.<\/p>\n<p>39. J.\u00a0Mercero,\u00a0M.\u00a0Piris,\u00a0J.M.\u00a0Matxain,\u00a0X.\u00a0Lopez,\u00a0J.M.\u00a0Ugalde,\u00a0\u201cSandwich\u00a0Complexes\u00a0of\u00a0the Metalloaromatic\u00a0eta3\u00adAl3R3\u00a0Ligand\u201d,\u00a0<a href=\"http:\/\/dx.doi.org\/10.1021\/ja8095043\">Journal\u00a0of\u00a0American\u00a0Chemical\u00a0Society\u00a0<strong>131<\/strong>,\u00a06949 (2009)<\/a>.<\/p>\n<p>38. J.M.\u00a0Matxain,\u00a0M.\u00a0Piris, X. Lopez, J.M.\u00a0Ugalde, \u201cThermally Stable Solids Based on Endohedrally\u00a0Doped Inorganic Fullerenes\u201d,\u00a0 <a href=\"http:\/\/dx.doi.org\/10.1002\/chem.200802472\">Chemistry\u00a0\u00ad\u00a0A\u00a0European\u00a0Journal\u00a0<strong>15<\/strong>,\u00a05138 (2009)<\/a>.<\/p>\n<p>37. M.\u00a0Piris,\u00a0J.M.\u00a0Ugalde,\u00a0\u201cIterative\u00a0diagonalization\u00a0for\u00a0orbital\u00a0optimization\u00a0in\u00a0the\u00a0Natural\u00a0Orbital Functional\u00a0Theory\u201d,\u00a0<a href=\"http:\/\/dx.doi.org\/10.1002\/jcc.21225\">Journal\u00a0of\u00a0Computational\u00a0Chemistry\u00a0<strong>30<\/strong>,\u00a02078\u00a0(2009)<\/a>.<\/p>\n<p>36. J.M.\u00a0Matxain,\u00a0E.\u00a0Formoso,\u00a0J.M.\u00a0Mercero,\u00a0M.\u00a0Piris,\u00a0X.\u00a0Lopez,\u00a0J.M.\u00a0Ugalde,\u00a0\u201cMagnetic Endohedral\u00a0Trasition\u00ad Metal\u00ad Doped\u00a0Semiconducting\u00ad\u00a0nanoclusters\u201d,\u00a0<a href=\"http:\/\/dx.doi.org\/10.1002\/chem.200800376\">Chemistry\u00a0\u00ad\u00a0A\u00a0European Journal\u00a0<strong>14<\/strong>,\u00a08547\u00a0(2008)<\/a>.<\/p>\n<p>35. M.\u00a0Piris,\u00a0J.M.\u00a0Matxain\u00a0and\u00a0J.M.\u00a0Ugalde,\u00a0\u201cPiris\u00a0natural\u00a0orbital\u00a0functional\u00a0study\u00a0of the dissociation of the radical helium\u00a0dimer\u201d,\u00a0<a href=\"http:\/\/dx.doi.org\/10.1063\/1.2950094\">Journal\u00a0of\u00a0Chemical\u00a0Physics\u00a0<strong>129<\/strong>,\u00a0014108\u00a0(2008)<\/a>.<\/p>\n<p>34. M.\u00a0Piris,\u00a0X.\u00a0Lopez,\u00a0and\u00a0J.M.\u00a0Ugalde,\u00a0\u201cElectron\u00adpair\u00a0density\u00a0relaxation\u00a0holes\u201d,\u00a0<a href=\"http:\/\/dx.doi.org\/10.1063\/1.2937456\">Journal\u00a0of Chemical Physics <strong>128<\/strong>,\u00a0214105\u00a0(2008)<\/a>.<\/p>\n<p>33. M.\u00a0Piris,\u00a0X.\u00a0Lopez,\u00a0and\u00a0J.M.\u00a0Ugalde,\u00a0\u201cCorrelation\u00a0holes\u00a0for\u00a0the\u00a0helium\u00a0dimer\u201d,\u00a0<a href=\"http:\/\/dx.doi.org\/10.1063\/1.2883959\">Journal\u00a0of Chemical Physics <strong>128<\/strong>,\u00a0134102\u00a0(2008)<\/a>.<\/p>\n<p>32. M.\u00a0Piris,\u00a0X.\u00a0Lopez,\u00a0and\u00a0J.M.\u00a0Ugalde,\u00a0\u201cNatural\u00a0orbital\u00a0functional\u00a0description\u00a0of\u00a0van\u00a0der\u00a0Waals interactions.\u00a0A\u00a0case\u00a0study\u00a0of\u00a0the\u00a0effects\u00a0of\u00a0the\u00a0basis\u00a0set\u00a0for\u00a0the\u00a0helium\u00a0dimer\u201d,\u00a0<a href=\"http:\/\/dx.doi.org\/10.1002\/qua.21572\">International Journal\u00a0of\u00a0Quantum\u00a0Chemistry\u00a0<strong>108<\/strong>,\u00a01660\u00a0(2008)<\/a>.<\/p>\n<p>31. J.M.\u00a0Matxain, M. Piris, E. Formoso, J. M. Mercero, X. Lopez, J. M. Ugalde, \u201cEndohedral Stannaspherenes: Mn@Sn12 and its dimer. Ferromagnetic or antiferromagnetic?\u201d, <a href=\"http:\/\/dx.doi.org\/10.1002\/cphc.200700428\">ChemPhysChem\u00a0<strong>8<\/strong>,\u00a02096\u00a0(2007)<\/a>.<\/p>\n<p>30. J.M.\u00a0Matxain,\u00a0L.A.\u00a0Eriksson,\u00a0J.M.\u00a0Mercero,\u00a0X.\u00a0Lopez,\u00a0M.\u00a0Piris,\u00a0J.M.\u00a0Ugalde,\u00a0J.\u00a0Poater,\u00a0E. Matito,\u00a0M.\u00a0Sola,\u00a0\u201cNew\u00a0solids\u00a0based\u00a0on\u00a0B12N12\u00a0fullerenes\u201d,\u00a0<a href=\"http:\/\/dx.doi.org\/10.1021\/jp073773j\"> Journal\u00a0of\u00a0Physical\u00a0Chemistry\u00a0C<strong> 111<\/strong>,\u00a013354\u00a0(2007)<\/a>.<\/p>\n<p>29. M.\u00a0Piris,\u00a0X.\u00a0Lopez,\u00a0J.M.\u00a0Ugalde,\u00a0\u201cDispersion\u00a0interactions\u00a0within\u00a0the\u00a0PNOF\u00a0theory:\u00a0the\u00a0helium dimer\u201d,\u00a0<a href=\"http:\/\/dx.doi.org\/10.1063\/1.2743019\">Journal\u00a0of\u00a0Chemical\u00a0Physics\u00a0<strong>126<\/strong>,\u00a0214103\u00a0(2007)<\/a>.<\/p>\n<p>28. J.M.\u00a0Matxain,\u00a0L.A.\u00a0Eriksson,\u00a0E.\u00a0Formoso,\u00a0M.\u00a0Piris,\u00a0J.M.\u00a0Ugalde,\u00a0\u201cEndohedral\u00a0(X@ZniSi)0,+\/\u00adi=4,16\u00a0Nanoclusters,\u00a0X=Li,\u00a0Na,\u00a0K,\u00a0Cl,\u00a0Br\u201d,\u00a0<a href=\"http:\/\/dx.doi.org\/10.1021\/jp0668697\">Journal\u00a0of\u00a0Physical\u00a0Chemistry\u00a0C\u00a0<strong>111<\/strong>,\u00a03560\u00a0(2007)<\/a>.<\/p>\n<p>27. M.\u00a0Piris,\u00a0\u201cNatural\u00a0Orbital\u00a0Functional\u00a0Theory\u201d\u00a0in\u00a0Reduced\u00ad-Density\u00ad-Matrix\u00a0Mechanics:\u00a0With Applications\u00a0to\u00a0Many\u00adelectron\u00a0Atoms\u00a0and\u00a0Molecules,\u00a0edited\u00a0by\u00a0D.\u00a0A.\u00a0Mazziotti,\u00a0<a href=\"https:\/\/www.wiley.com\/en-us\/Reduced+Density+Matrix+Mechanics%3A+With+Application+to+Many+Electron+Atoms+and+Molecules%2C+Volume+134-p-9780471790563\">Advances\u00a0in Chemical\u00a0Physics,\u00a0Volume\u00a0<strong>134<\/strong>,\u00a0Chapter\u00a014,\u00a0Wiley,\u00a0New\u00a0York,\u00a0April\u00a02007,\u00a0ISBN:\u00a0978\u00ad0\u00ad471\u00ad 79056\u00ad3<\/a>.<\/p>\n<p>26. P.\u00a0Leiva,\u00a0M.\u00a0Piris,\u00a0\u201cDescription\u00a0of\u00a0high\u00adspin\u00a0restricted\u00a0open\u00adshells\u00a0with\u00a0the\u00a0Piris\u00a0Natural Orbital\u00a0Functional\u201d,\u00a0<a href=\"http:\/\/dx.doi.org\/10.1002\/qua.21058\">International\u00a0Journal\u00a0of\u00a0Quantum\u00a0Chemistry\u00a0<strong>107<\/strong>,\u00a01\u00a0(2007)<\/a>.<\/p>\n<p>25. P.\u00a0Leiva,\u00a0M.\u00a0Piris,\u00a0\u201cCalculation\u00a0of\u00a0vertical\u00a0ionization\u00a0potentials\u00a0with\u00a0the\u00a0Piris\u00a0Natural\u00a0Orbital Functional\u201d,\u00a0<a href=\"http:\/\/dx.doi.org\/10.1016\/j.theochem.2006.05.001\">Journal\u00a0of\u00a0Molecular\u00a0Structure:\u00a0THEOCHEM\u00a0<strong>770<\/strong>,\u00a045\u00a0(2006)<\/a>.<\/p>\n<p>24. M.\u00a0Piris,\u00a0\u201cA\u00a0new\u00a0approach\u00a0for\u00a0the\u00a0Two\u00ad-Electron\u00a0Cumulant\u00a0in\u00a0Natural\u00a0Orbital\u00a0Functional theory\u201d,\u00a0<a href=\"http:\/\/dx.doi.org\/10.1002\/qua.20858\">International\u00a0Journal\u00a0of\u00a0Quantum\u00a0Chemistry\u00a0<strong>106<\/strong>,\u00a01093\u00a0(2006)<\/a>.<\/p>\n<p>23. P.\u00a0Leiva,\u00a0M.\u00a0Piris,\u00a0\u201cAssessment\u00a0of\u00a0a\u00a0new\u00a0approach\u00a0for\u00a0the\u00a0two\u00adelectron\u00a0cumulant\u00a0in\u00a0natural\u00ad orbital\u00adfunctional\u00a0theory\u201d,\u00a0<a href=\"http:\/\/dx.doi.org\/10.1063\/1.2135289\">Journal\u00a0of\u00a0Chemical\u00a0Physics\u00a0<strong>123<\/strong>,\u00a0214102\u00a0(2005)<\/a>.<\/p>\n<p>22. P.\u00a0Leiva,\u00a0M.\u00a0Piris,\u00a0\u201cA\u00a0Natural\u00a0Orbital\u00a0Functional\u00a0study\u00a0for\u00a0the\u00a0electric\u00a0response\u00a0properties\u00a0of molecules\u201d,\u00a0<a href=\"http:\/\/dx.doi.org\/10.1142\/S0219633605001969\">Journal\u00a0of\u00a0Theoretical\u00a0and\u00a0Computational\u00a0Chemistry\u00a0<strong>4<\/strong>,\u00a01165\u00a0(2005)<\/a>.<\/p>\n<p>21. P.\u00a0Leiva,\u00a0M.\u00a0Piris,\u00a0\u201cNatural\u00a0orbital\u00a0functional\u00a0theory:\u00a0Ionization\u00a0Potentials,\u00a0Equilibrium Geometries\u00a0and\u00a0Vibrational\u00a0Frequencies\u201d,\u00a0<a href=\"http:\/\/dx.doi.org\/10.1016\/j.theochem.2005.01.023\">Journal\u00a0of\u00a0Molecular\u00a0Structure:\u00a0THEOCHEM\u00a0<strong>719<\/strong>, 63\u00a0(2005)<\/a>.<\/p>\n<p>20. M.\u00a0Piris,\u00a0P.\u00a0Otto,\u00a0\u201cNatural\u00a0Orbital\u00a0Functional\u00a0for\u00a0correlation\u00a0in\u00a0Polymers\u201d,\u00a0<a href=\"http:\/\/dx.doi.org\/10.1002\/qua.20291\">International Journal\u00a0of\u00a0Quantum\u00a0Chemistry\u00a0<strong>102<\/strong>,\u00a090\u00a0(2005)<\/a>.<\/p>\n<p>19. M.\u00a0Piris,\u00a0\u201c<a href=\"http:\/\/www.ehu.es\/chemistry\/theory\/mario.piris\/files\/Recent_Res_Devel_Quantum_Chem.pdf\">Natural\u00a0orbital\u00a0functional\u00a0theory:\u00a0Molecules\u00a0and\u00a0Polymers<\/a>\u201d,\u00a0Recent\u00a0Research Developments\u00a0in\u00a0Quantum\u00a0Chemistry\u00a0<strong>4<\/strong>,\u00a043-\u00ad69,\u00a0ISBN:\u00a081\u00ad7895\u00ad139\u00ad8,\u00a0Transworld\u00a0Research Network,\u00a0Kerala,\u00a0India\u00a0(2004).<\/p>\n<p>18. P.\u00a0Otto,\u00a0M.\u00a0Piris,\u00a0A.\u00a0Martinez,\u00a0J.\u00a0Ladik,\u00a0\u201cDynamic\u00a0(hyper)polarizability\u00a0calculations\u00a0for polymers\u00a0with\u00a0linear\u00a0and\u00a0cyclic\u00a0p\u00adconjugated\u00a0elementary\u00a0cells\u201d,\u00a0<a href=\"http:\/\/dx.doi.org\/10.1016\/S0379-6779(03)00417-X\">Synthetic\u00a0Metals\u00a0<strong>141<\/strong>,\u00a0\u00a0277 (2004)<\/a>.<\/p>\n<p>17. M.\u00a0Piris,\u00a0A.\u00a0Martinez\u00a0and\u00a0P.\u00a0Otto,\u00a0\u201cA\u00a0natural\u00a0orbital\u00a0functional\u00a0approach:\u00a0Calculation\u00a0of dielectric\u00a0properties\u00a0in\u00a0molecules\u201d,\u00a0<a href=\"http:\/\/dx.doi.org\/10.1002\/qua.10799\">International\u00a0Journal\u00a0of\u00a0Quantum\u00a0Chemistry\u00a0<strong>97<\/strong>,\u00a0827 (2004)<\/a>.<\/p>\n<p>16. M.\u00a0Piris,\u00a0\u201c<a href=\"http:\/\/www.ehu.es\/chemistry\/theory\/mario.piris\/files\/second_quantization.pdf\">Second\u00a0Cuantization\u00a0for\u00a0Fermions<\/a>\u201d,\u00a0in\u00a0Introduction\u00a0to\u00a0Advanced\u00a0Topics\u00a0in Computational Chemistry, L.\u00a0Montero, L.A.\u00a0D\u00edaz and R.\u00a0Bader\u00a0(Eds.), ISBN:\u00a0959\u00ad16\u00ad0233\u00ad2, 29-39, Havana, Cuba (2003).<\/p>\n<p>15. M.\u00a0Piris,\u00a0P.\u00a0Otto,\u00a0\u201cA\u00a0one-\u00adparticle\u00a0density\u00a0matrix\u00a0functional\u00a0for\u00a0correlation\u00a0in molecular systems\u201d, <a href=\"http:\/\/dx.doi.org\/10.1002\/qua.10707\">International Journal of\u00a0Quantum\u00a0Chemistry\u00a0<strong>94<\/strong>,\u00a0317\u00a0(2003)<\/a>.<\/p>\n<p>14. M.\u00a0Sosa\u00ad-Albertus,\u00a0M.\u00a0Piris,\u00a0\u201cConformational\u00a0analysis\u00a0of\u00a03,3\u00ad-disubstituted\u00a0benzoylthioureas using\u00a0X\u00adray\u00a0diffraction\u00a0and\u00a0ab\u00a0anitio\u00a0calculations\u201d,\u00a0<a href=\"http:\/\/dx.doi.org\/10.1016\/S0022-2860(01)00626-3\">Journal\u00a0of\u00a0Molecular\u00a0Structure\u00a0<strong>598<\/strong>,\u00a0261 (2001)<\/a>.<\/p>\n<p>13. M.\u00a0Sosa,\u00a0M.\u00a0Piris,\u00a0G.\u00a0Burton,\u00a0\u201c3,3-\u00adDimethylacylthioureas:\u00a0&#8220;S&#8221;,\u00a0&#8220;\u00adS&#8221;,\u00a0&#8220;U&#8221;\u00a0or\u00a0&#8220;W&#8221; Conformation?\u201d, <a href=\"http:\/\/www.mdpi.org\/molecules\/list00.htm\">Molecules\u00a0<strong>5<\/strong>,\u00a0445\u00a0(2000)<\/a>.<\/p>\n<p>12. M.\u00a0Piris,\u00a0P.\u00a0Otto,\u00a0\u201cThe\u00a0Improved\u00a0BCS\u00a0Method\u00a0in\u00a0Polymers\u201d,\u00a0<a href=\"http:\/\/dx.doi.org\/10.1063\/1.481419\">Journal\u00a0of\u00a0Chemical\u00a0Physics\u00a0<strong>112<\/strong>, 8187\u00a0(2000)<\/a>.<\/p>\n<p>11. M.\u00a0Sosa,\u00a0M.\u00a0Piris,\u00a0\u201cEstudio\u00a0estructural\u00a0de\u00a0aciltioureas\u00a03\u00ad,3\u00ad-dimetilsustituidas\u201d,\u00a0<a href=\"http:\/\/www.uo.edu.cu\/ojs\/index.php\/cq\/issue\/archive?issuesPage=2\">Revista\u00a0Cubana de\u00a0Qu\u00edmica Vol. <strong>11<\/strong>, No.3, 51\u00a0(1999)<\/a>.<\/p>\n<p>10. M.\u00a0Piris,\u00a0\u201c<a href=\"https:\/\/www.ehu.eus\/chemistry\/theory\/wordpress\/wp-content\/uploads\/fisica_cuantica_Piris.pdf\">F\u00edsica\u00a0Cu\u00e1ntica<\/a>\u201d,\u00a0ISBN:\u00a0959\u00ad7136\u00ad11\u00ad2,\u00a0Editorial\u00a0ISCTN,\u00a0La\u00a0Habana,\u00a0Cuba\u00a0(1999).<\/p>\n<p>9. M.\u00a0Piris,\u00a0\u201cA\u00a0generalized\u00a0self\u00adconsistent\u00adfield\u00a0procedure\u00a0in\u00a0the\u00a0Improved\u00a0BCS\u00a0theory\u201d,\u00a0<a href=\"http:\/\/dx.doi.org\/10.1023\/A:1019111828412\">Journal of Mathematical\u00a0Chemistry\u00a0<strong>25<\/strong>,\u00a047\u00a0(1999)<\/a>.<\/p>\n<p>8. M.\u00a0Piris,\u00a0R.\u00a0Cruz,\u00a0\u201cM\u00e9todo\u00a0de\u00a0HFB\u00a0en\u00a0la\u00a0correlaci\u00f3n\u00a0molecular\u201d,\u00a0<a href=\"http:\/\/www.fisica.uh.cu\/biblioteca\/revcubfi\/1998\/Vol.15,%20No.1\/index.htm\">Revista\u00a0Cubana\u00a0de\u00a0F\u00edsica\u00a0<strong>15<\/strong>, 3\u00a0(1998)<\/a>.<\/p>\n<p>7. M.\u00a0Piris,\u00a0\u201cAnalytic\u00a0Gradients\u00a0in\u00a0the\u00a0Improved\u00a0BCS\u00a0Method\u201d,\u00a0<a href=\"http:\/\/dx.doi.org\/10.1023\/A:1019141812966\">Journal\u00a0of Mathematical Chemistry <strong>23<\/strong>, 399 (1998)<\/a>.<\/p>\n<p>6. M.\u00a0Piris,\u00a0L.A.\u00a0Montero,\u00a0N.\u00a0Cruz,\u00a0\u201cThe\u00a0BCS\u00a0approach\u00a0to\u00a0electron\u00a0correlation\u00a0in\u00a0the\u00a0density matrix formalism\u201d, <a href=\"http:\/\/dx.doi.org\/10.1063\/1.474363\">Journal of Chemical Physics <strong>107<\/strong>,\u00a0180\u00a0(1997)<\/a>.<\/p>\n<p>5. M.\u00a0Piris,\u00a0R.\u00a0Cruz,\u00a0\u201cA\u00a0BCS\u00a0approach\u00a0to\u00a0molecular\u00a0correlation\u201d,\u00a0I<a href=\"http:\/\/dx.doi.org\/10.1002\/qua.560530402\">nternational\u00a0Journal of\u00a0 Quantum Chemistry <strong>53<\/strong>, 353 (1995)<\/a>.<\/p>\n<p>4. R.\u00a0Capote,\u00a0M.\u00a0Piris,\u00a0R.\u00a0Pedrosa,\u00a0\u201cOne\u00a0and\u00a0Two\u00a0Quasiparticle\u00a0State\u00a0Densities\u00a0in\u00a0the\u00a0ESM: Combinatorial\u00a0Approach\u00a0vs.\u00a0Exact\u00a0Results\u201d,\u00a0Proceedings\u00a0of\u00a0the\u00a0International\u00a0Conference\u00a0on Nuclear Data for Science and Technology, Editor J.K. Dickens <strong>1<\/strong>, 490 (1994).<\/p>\n<p>3. R.\u00a0Capote,\u00a0E.\u00a0Herrera,\u00a0R.\u00a0Lopez,\u00a0V.\u00a0Osorio,\u00a0M.\u00a0Piris,\u00a0\u201cAnalysis\u00a0of\u00a0experimental\u00a0data\u00a0on neutron\u00adinduced\u00a0reactions\u00a0and\u00a0development\u00a0of\u00a0PCROSS\u00a0code for the calculation of differential pre\u00adequilibrium spectra\u201d, INDC-247 report, International\u00a0Atomic\u00a0Energy\u00a0Agency\u00a0(1991).<\/p>\n<p>2. R.\u00a0Capote,\u00a0E.\u00a0Herrera,\u00a0R.\u00a0Lopez,\u00a0V.\u00a0Osorio,\u00a0M.\u00a0Piris,\u00a0\u201cAnalysis\u00a0of\u00a0experimental\u00a0data\u00a0on neutron\u00adinduced\u00a0reactions\u00a0and\u00a0development\u00a0of\u00a0PCROSS\u00a0code\u00a0for\u00a0the\u00a0calculation\u00a0of\u00a0differential pre-equilibrium emission spectra with modelling of level density function\u201d, INDC\u00ad004\u00a0report, International Atomic Energy Agency (1991).<\/p>\n<p>1. V.V.\u00a0Voronov,\u00a0M.\u00a0Piris,\u00a0V.Y.\u00a0Ponomarev,\u00a0\u201c<a href=\"https:\/\/www.researchgate.net\/publication\/270566424_Gamma-Decay_of_Giant_Resonances\">Decay\u00a0of\u00a0Giant\u00a0Resonances<\/a>\u201d, Soviet Journal of Nuclear Physics <strong>51<\/strong>, 49 (1990).160<\/p>\n","protected":false},"excerpt":{"rendered":"<p>125. I. Mitxelena, J. F. H. Lew-Yee, M. Piris, &#8220;5- and 6-membered rings: A natural orbital functional study&#8221;, J. Chem. Theory Comput. 22, 2799-2807(2026); arXiv:2511.04167 [physics.chem-ph]. 124. J. F. H. Lew-Yee, I. Mitxelena, J. M. del Campo, M. Piris, &#8220;DoNOF 2.0: A modern Open-Source Electronic Structure Program for Natural Orbital Functionals&#8221;, J. Chem. Phys. 164, [&hellip;]<\/p>\n","protected":false},"author":4,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[78],"tags":[],"class_list":["post-11467","post","type-post","status-publish","format-standard","hentry","category-5_kt-seminars"],"blocksy_meta":[],"acf":[],"_links":{"self":[{"href":"https:\/\/www.ehu.eus\/chemistry\/theory\/wp-json\/wp\/v2\/posts\/11467","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.ehu.eus\/chemistry\/theory\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.ehu.eus\/chemistry\/theory\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.ehu.eus\/chemistry\/theory\/wp-json\/wp\/v2\/users\/4"}],"replies":[{"embeddable":true,"href":"https:\/\/www.ehu.eus\/chemistry\/theory\/wp-json\/wp\/v2\/comments?post=11467"}],"version-history":[{"count":197,"href":"https:\/\/www.ehu.eus\/chemistry\/theory\/wp-json\/wp\/v2\/posts\/11467\/revisions"}],"predecessor-version":[{"id":22334,"href":"https:\/\/www.ehu.eus\/chemistry\/theory\/wp-json\/wp\/v2\/posts\/11467\/revisions\/22334"}],"wp:attachment":[{"href":"https:\/\/www.ehu.eus\/chemistry\/theory\/wp-json\/wp\/v2\/media?parent=11467"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.ehu.eus\/chemistry\/theory\/wp-json\/wp\/v2\/categories?post=11467"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.ehu.eus\/chemistry\/theory\/wp-json\/wp\/v2\/tags?post=11467"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}