Two theorems about C₂ and some more

References

• S. Shaik, H.S. Rzepa, and R. Hoffmann, Angew. Chem. Int. Ed. 52, 3020 (2013).
   PubMed Web of Science ®Google Scholar
• W.H. Wollaston, Phil. Trans. R. Soc. A 92, 365 (1802).
   Google Scholar
• M. Faraday, in A Course of Six Lectures on the Chemical History of a Candle, edited by W. Crookes (Griffin, Bohn & Co., London, 1861).
   Google Scholar
• C.A. Coulson, Rev. Mod. Phys. 32, 170 (1960).
   Web of Science ®Google Scholar
• D. Danovich, P.C. Hiberty, W. Wu, H.S. Rzepa, and S. Shaik, Chem. Eur. J. 20, 6220 (2014).
   PubMed Web of Science ®Google Scholar
• D.L. Cooper, F.E. Penotti, and R. Ponec, Comp. Theor. Chem. 1053, 189 (2015).
   Web of Science ®Google Scholar
• L.T. Xu and T.H. Dunning, Jr., J. Chem. Theory Comput. 10, 195 (2014).
   PubMed Web of Science ®Google Scholar
• H.J. Bernstein, J. Chem. Phys. 15, 284 (1947); ibid.15, 339 (1947), ibid. 15, 688 (1947).
   Web of Science ®Google Scholar
• F. Weinhold and C.R. Landis, Valency and Bonding: A Natural Bond Orbital Donor-Acceptor Perspective (Cambridge University Press, Cambridge, 2005).
   Google Scholar
• G. Frenking and M. Hermann, Angew. Chem. Int. Ed. 52, 5922 (2013).
   PubMed Web of Science ®Google Scholar
• C.A. Coulson, Proc. R. Soc. A 169, 413 (1939).
   Google Scholar
• I. Mayer, Chem. Phys. Lett. 97, 270 (1983) [Addendum: ibid., 117, 396 (1985)]; I. Mayer, J. Comp. Chem. 28, 204 (2007); I. Mayer, Chem. Phys. Lett. 544, 83 (2012).
   Web of Science ®Google Scholar
• W.A. Goddard III, Phys. Rev. 157, 81 (1967); W.A. Goddard III, T.H. Dunning, Jr., W.J. Hunt, and P.J. Hay, Acc. Chem. Res. 6, 368 (1973) and references therein.
   Web of Science ®Google Scholar
• A.M. Tokmachev and A.L. Tchougréeff, J. Comp. Chem. 22, 752 (2001).
   Web of Science ®Google Scholar
• V.A. Fock, M.G. Veselov, and M.I. Petrashen’, JETP 10, 723 (1940); V.A. Fock, DAN SSSR 73, 735 (1950); E. Kapuy, Acta Phys. Acad. Sci. Hung. 10, 125 (1959); E. Kapuy, ibid. 11, 97 (1960); E. Kapuy, ibid. 12, 185 (1960); I.Ts. Lyast, J. Struct. Chem. 14, 301 (1973); ibid. 14, 122 (1973); I.Ts. Lyast and Yu.M. Yusim, ibid. 14, 845 (1973); I.Ts. Lyast and N.P. Poshyunaite, ibid. 12, 454 (1971); I.Ts. Lyast, Chem. Phys. Lett. 23, 432 (1973); I.Ts. Lyast and A.Ya. Biktimirov, Int. J. Quant. Chem. 7, 641 (1973); ibid. 13, 83 (1978); P.R. Surján, Top. Cur. Chem. 203, 63 (1999); V.A. Rassolov, J. Chem. Phys. 117, 5978 (2002); A.M. Tokmachev, Int. J. Quantum Chem., 116, 265 (2016).
   Google Scholar
• A.M. Tokmachev and A.L. Tchougréeff, J. Comp. Chem. 26, 491 (2005).
   PubMed Web of Science ®Google Scholar
• A.L. Tchougréeff, J. Mol. Struct. THEOCHEM 630, 243 (2003).
   Web of Science ®Google Scholar
• A.L. Tchougréeff, J. Mol. Struct. THEOCHEM 632, 91 (2003).
   Web of Science ®Google Scholar
• A.L. Tchougréeff and A.M. Tokmachev, Int. J. Quant. Chem. 96, 175 (2004).
   Web of Science ®Google Scholar
• A.L. Tchougréeff and A.M. Tokmachev, and I. Mayer, Int. J. Quant. Chem. 107, 2539 (2007).
   Web of Science ®Google Scholar
• J.E. Littlewood, A Mathematician's Miscellany (Methuen, London, 1953).
   Google Scholar
• K. Basu.A New and Very Long Proof of the Pythagoras Theorem By Way of a Proposition on Isosceles Triangles. http://www.kaushikbasu.org/Pythagoras%206.pdf; http://www.forbes.com/sites/kevinknudson/2015/09/20/pythagorean-theorem-proved-true-once-again/
   Google Scholar
• Z.K. Slabý. Tři banány aneb Petr na pohádkové planetě. [Three banana or Petr on an enigmatic planet; in Chech] (Státní nakladatelství dětské knihy, Praha, 1964).
   Google Scholar
• J. Cioslowski, G. Liu, and R.A. Mosquera Castro, Chem. Phys. Lett. 331, 497 (2000).
   Web of Science ®Google Scholar
• E. Kraka, J.A. Larsson, and D. Cremer, in Computational Spectroscopy: Methods, Experiments and Applications, edited by J. Grunenberg (Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim, Germany, 2010).
   Google Scholar
• O.M. Cabarcos, C.J. Weinheimer, J.M. Lisy, and S.S. Xantheas, J. Chem. Phys. 110, 5 (1999); H.E. Dorsett, R.O. Watts, and S.S. Xantheas, ibid. 103, 3351 (1999); J.M. Weber, J.A. Kelley, S.B. Nielsen, P. Ayotte, and M.A. Johnson, Science 287, 2461 (2000); K. Nauta and R.E. Miller, ibid. 287, 293 (2000). A. Lagutschenkov, G.S. Fanourgakis, G. Niedner-Schatteburg, and S.S. Xantheas, J. Chem. Phys. 122, 194310 (2005).
   Web of Science ®Google Scholar
• C. Coulson and A. Golebievski, Proc. Phys. Soc. 78, 1310 (1961); I.A. Misurkin and A.A. Ovchinnikov, J. Struct. Chem. 5, 888 (1965) [in Russian]; I.A. Misurkin, A.A. Ovchinnikov, Opt. Spectr. 16, 228 (1964) [in Russian]; I.A. Misurkin and A.A. Ovchinnikov, Usp. Khim. 46, 1833 (1977) [in Russian].
   Google Scholar
• I. Mayer, Simple Theorems, Proofs, and Derivations in Quantum Chemistry (Kluwer Academic/Plenum Publishers, New York, 2003).
   Google Scholar
• W.L. Cao, C. Gatti, P.J. MacDougall, and R.F.W. Bader, Chem. Phys. Lett. 141, 380 (1987); A.M. Pendás, M.A. Blanco, A. Costales, P. Mori Sánchez, and V. Luaña, Phys. Rev. Lett. 83, 1930 (1999).
   Web of Science ®Google Scholar
• C.C.J. Roothaan, J. Chem. Phys. 19, 1445 (1951).
   Web of Science ®Google Scholar
• H.-J. Glaeske, J. Reinhold, P. Volkmer, in Quantenchemie. Ein Lehrgang. Band 5. Ausgewählte mathematische Methoden der Chemie (VEB Deutscher Verlag der Wissenschaften, Berlin, 1987).
   Google Scholar
• J.C. Slater, Phys. Rev. 36, 57 (1930).
   Google Scholar
• J.A. Pople and D.L. Beveridge, Approximate Molecular Orbital Theory (McGraw-Hill, New York, 1970).
   Google Scholar
• J.M. Sichel and M.A. Whitehead, Theoret. Chim. Acta 11, 220 (1968); J.M. Sichel and M.A. Whitehead, ibid. 11, 239 (1968); J.M. Sichel and M.A. Whitehead, ibid. 7, 32 (1967); J.M. Sichel and M.A. Whitehead, ibid. 11, 254 (1968).
   Google Scholar
• D.R. Salahub and C. Sandorfy, Theoret. Chim. Acta 20, 227 (1971); D.R. Salahub and C. Sandorfy, ibid. 22, 325 (1971); D.R. Salahub and C. Sandorfy, ibid. 22, 330 (1971); D.R. Salahub and C. Sandorfy, Chem. Phys. Lett. 8, 71 (1971).
   Google Scholar
• G. Höjer and S. Meza, Acta Chem. Scand. 26, 3723 (1972).
   Google Scholar
• NIST Energy Levels and Wavelengths Bibliographic Reference # 7288 Tables of Spectra of Hydrogen, Carbon, Nitrogen, and Oxygen Atoms and Ions, C.E. Moore, in CRC Series in Evaluated Data in Atomic Physics, edited by J.W. Gallagher (CRC Press, Boca Raton, FL, 1993).
   Google Scholar
• A.L. Tchougréeff, Int. J. Quant. Chem. 116, 137 (2016).
   Web of Science ®Google Scholar
• R. Dronskowski and P.E. Blöchl, J. Phys. Chem. 97, 8617 (1993).
   Web of Science ®Google Scholar
• J.F. Harrison and D.B. Lawson, J. Chem. Educ. 82, 1205 (2005).
   Web of Science ®Google Scholar
• J.S. Boschen, D. Theis, K. Ruedenberg, and T.L. Windus, Theor. Chem. Acc. 133, 1425 (2014).
   Web of Science ®Google Scholar
• A.J.C. Varandas, J. Chem. Phys. 129, 234103 (2008).
   PubMed Web of Science ®Google Scholar
• M.L. Abrams and C.D. Sherrill, J. Chem. Phys. 121, 9211 (2004).
   PubMed Web of Science ®Google Scholar
• R.S. Mulliken, Phys. Rev. 56, 778 (1939).
   Google Scholar
• A.S. Davydov, Theory of Molecular Excitons (Plenum, New York, 1971).
   Google Scholar
• H.-S. Hu, Y.-H. Qiu, X.-G. Xiong, W.H.E. Schwarz, and J. Li, Chem. Sci. J. 3, 2786 (2012).
   Web of Science ®Google Scholar
• P. von R. Schleyer, P. Maslak, J. Chandrasekhar, and R.S. Grev, Tetrahedron Lett. 34, 6387 (1993).
   Web of Science ®Google Scholar
• J. Casti and R. Kalaba, Imbedding Methods in Applied Mathematics (Addison-Wesley Publishing Company, London, 1973).
   Google Scholar
• M. Lein, A. Krapp, and G. Frenking, J. Am. Chem. Soc. 127, 6290 (2005); G. Frenking, R. Tonner, S. Klein, N. Takagi, T. Shimizu, A. Krapp, K.K. Pandey, and P. Parameswaran, Chem. Soc. Rev. 43, 5106 (2014).
   PubMed Web of Science ®Google Scholar
• P. Fulde, Electron Correlations in Molecules and Solids (Springer, Heidelberg, 1995).
   Google Scholar
• C. Esterhuysen and G. Frenking, Theor. Chem. Acc. 111, 381 (2004). Erratum: C. Esterhuysen and G. Frenking, ibid. 113, 294 (2005).
   Web of Science ®Google Scholar
• A.L. Tchougréeff, A.M. Tokmachev, and R. Dronskowski, Int. J. Quant. Chem. 113, 1833 (2013).
   Web of Science ®Google Scholar