Revitalizing Spin Natural Orbital Analysis: Electronic Structures of Mixed‐Valence Compounds, Singlet Biradicals, and Antiferromagnetically Coupled Systems

Chemical systems with open‐shell electronic structure have been gaining attention these days. Their potential applications in first‐row transition metal catalysis, molecular wires, photovoltaics and other potential applications have urged the adoption of a simple analysis tool to better understand their open‐shell electronic structures, especially the role played by the unpaired electrons. Despite its lack of popularity, spin natural orbital (SNO) analysis is a tool we found to well‐suit this purpose. We have therefore re‐examined how the SNO could help us analyze some interesting open‐shell systems, including mixed‐valence compounds, singlet biradicals, and antiferromagnetically coupled systems. We found that some interesting patterns emerge from SNO analysis, especially those associated with exchange interaction. © 2019 Wiley Periodicals, Inc.

[1]  M. Nakano,et al.  Synthesis and characterization of teranthene: a singlet biradical polycyclic aromatic hydrocarbon having Kekulé structures. , 2010, Journal of the American Chemical Society.

[2]  J. Launay An orbital approach of electron transfer in multisite systems. Implications for carbon-rich spacers , 2015 .

[3]  J. Shimada,et al.  Unique structural and electronic features of perferryl-oxo oxidant in Cytochrome P450. , 2011, The journal of physical chemistry. B.

[4]  H. Miyoshi,et al.  Indenofluorene congeners: Biradicaloids and beyond , 2014 .

[5]  M. Nakano,et al.  Singlet Diradical Character from Experiment , 2010 .

[6]  Michael W. Schmidt,et al.  On the ordering of orbital energies in high-spin ROHF. , 2010, Journal of Physical Chemistry A.

[7]  S. Shaik,et al.  Blended hydrogen atom abstraction and proton-coupled electron transfer mechanisms of closed-shell molecules , 2012 .

[8]  V. H. Smith,et al.  Evaluation of 〈S2〉 in restricted, unrestricted Hartree–Fock, and density functional based theories , 1995 .

[9]  M. Nakano,et al.  Indeno[2,1-b]fluorene: a 20-π-electron hydrocarbon with very low-energy light absorption. , 2013, Angewandte Chemie.

[10]  H. Ge,et al.  Recent Advances in First‐Row‐Transition‐Metal‐Catalyzed Dehydrogenative Cou­pling of C(sp3)–H Bonds , 2015 .

[11]  István Hargittai,et al.  The Vsepr Model of Molecular Geometry , 1991 .

[12]  Y. Kitagawa,et al.  Theoretical study on the magnetic interactions of active site in hemerythrin , 2005 .

[13]  V. Barone,et al.  Toward reliable density functional methods without adjustable parameters: The PBE0 model , 1999 .

[14]  G. Trinquier,et al.  Predicting the Open-Shell Character of Polycyclic Hydrocarbons in Terms of Clar Sextets. , 2017, The journal of physical chemistry. A.

[15]  L. Zakharov,et al.  Electron-accepting 6,12-diethynylindeno[1,2-b]fluorenes: synthesis, crystal structures, and photophysical properties. , 2011, Angewandte Chemie.

[16]  R J Boyd,et al.  The Fermi hole in atoms , 1974 .

[17]  I. Langmuir TYPES OF VALENCE. , 1921, Science.

[18]  D. Jun,et al.  Construction of a mixed-valence Mn16 cluster with four tetrahedrons , 2016 .

[19]  Gert Vriend,et al.  Molden 2.0: quantum chemistry meets proteins , 2017, Journal of Computer-Aided Molecular Design.

[20]  M. Swart,et al.  Spinning around in Transition-Metal Chemistry. , 2016, Accounts of chemical research.

[21]  G. G. Hall,et al.  Single determinant wave functions , 1961, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[22]  Lionel Salem,et al.  The Electronic Properties of Diradicals , 1972 .

[23]  Y. Tobe Quinodimethanes Incorporated in Non-Benzenoid Aromatic or Antiaromatic Frameworks , 2018, Topics in Current Chemistry.

[24]  M. Kaupp,et al.  Quantum-chemical insights into mixed-valence systems: within and beyond the Robin-Day scheme. , 2014, Chemical Society reviews.

[25]  E. Reijerse,et al.  Closed-shell and open-shell square-planar iridium nitrido complexes. , 2012, Nature chemistry.

[26]  Hui Chen,et al.  Exchange-Enhanced H-Abstraction Reactivity of High-Valent Nonheme Iron(IV)-Oxo from Coupled Cluster and Density Functional Theories , 2010 .

[27]  H. Schlegel,et al.  Moeller-Plesset perturbation theory with spin projection , 1988 .

[28]  T. Herng,et al.  From Open-Shell Singlet Diradicaloid to Closed-Shell Global Antiaromatic Macrocycles. , 2018, Angewandte Chemie.

[29]  L. C. Snyder,et al.  Unrestricted Hartree—Fock Calculations. I. An Improved Method of Computing Spin Properties , 1964 .

[30]  Yuxue Li,et al.  Cyano-Schmittel Cyclization through Base-Induced Propargyl-Allenyl Isomerization: Highly Modular Synthesis of Pyridine-Fused Aromatic Derivatives. , 2015, Chemistry.

[31]  S. Shaik,et al.  The fundamental role of exchange-enhanced reactivity in C-H activation by S=2 oxo iron(IV) complexes. , 2010, Angewandte Chemie.

[32]  Gilbert N. Lewis,et al.  The Atom and the Molecule , 1916, Resonance.

[33]  A. Ludi,et al.  The Creutz-Taube complex revisited: crystallographic study of the electron-transfer series [(NH3)5Ru(pyz)(Ru(NH3)5]n+ (n=4−6) , 1985 .

[34]  L. Salem The molecular orbital theory of conjugated systems , 1966 .

[35]  F. Weigend,et al.  Balanced basis sets of split valence, triple zeta valence and quadruple zeta valence quality for H to Rn: Design and assessment of accuracy. , 2005, Physical chemistry chemical physics : PCCP.

[36]  T. Kubo Open‐Shell π‐Conjugated Hydrocarbons , 2015 .

[37]  J. McGrady,et al.  Biradical character in the ground state of [Mn@Si12](+): a DFT and CASPT2 study. , 2016, Physical chemistry chemical physics : PCCP.

[38]  X. López,et al.  A reinterpretation of the nature of the Fermi hole. , 2004, The Journal of chemical physics.

[39]  O. Wenger,et al.  Organic mixed valence. , 2011, Chemical reviews.

[40]  G. Schaftenaar,et al.  Molden: a pre- and post-processing program for molecular and electronic structures* , 2000, J. Comput. Aided Mol. Des..

[41]  C. Lambert,et al.  Organic mixed-valence compounds: a playground for electrons and holes. , 2012, Angewandte Chemie.

[42]  P. Karafiloglou The double (or dynamic) spin polarization in π diradicals , 1989 .

[43]  A. Szabó,et al.  Modern quantum chemistry : introduction to advanced electronic structure theory , 1982 .

[44]  L. Salem Electrons in chemical reactions: First principles , 1982 .

[45]  Jishan Wu,et al.  Pro-aromatic and anti-aromatic π-conjugated molecules: an irresistible wish to be diradicals. , 2015, Chemical Society reviews.

[46]  Lucjan Piela,et al.  Ideas of Quantum Chemistry , 2007 .

[47]  Q. Guo,et al.  DFT Studies on Reactions of Transition Metal Complexes with O2 , 2009 .

[48]  L. Slipchenko,et al.  5-Dehydro-1,3-quinodimethane: a hydrocarbon with an open-shell doublet ground state. , 2004, Angewandte Chemie.

[49]  M. Haley,et al.  Explorations of the Indenofluorenes and Expanded Quinoidal Analogues. , 2017, Accounts of chemical research.

[50]  Basker Sundararaju,et al.  Recent advances in C(sp3)H bond carbonylation by first row transition metals , 2018 .

[51]  M. Nakano,et al.  Synthesis, intermolecular interaction, and semiconductive behavior of a delocalized singlet biradical hydrocarbon. , 2005, Angewandte Chemie.

[52]  C. Corminboeuf,et al.  Theory and practice of uncommon molecular electronic configurations , 2015, Wiley interdisciplinary reviews. Computational molecular science.

[53]  J. Hasegawa,et al.  Theoretical Investigation of the β Value of the π-Conjugated Molecular Wires by Evaluating Exchange Interaction between Organic Radicals , 2013 .

[54]  H. Bernhard Schlegel,et al.  Some reasons not to use spin projected density functional theory , 1996 .