Abstract
The partitioning of the molecular electronic energy into true one-electron quantities defined by a molecular electronic virial theorem (MEVT) is studied for a number of molecules. Since the theorem is derived for exact wavefunctions, its applicability to various ab initio wavefunctions at difierent levels of accuracy is examined. The average percentage deviations of the theorem for near Hartree-Fock, double zeta, STO-6G and STO-3G type wave functions are 0.4, 1.7, 2.3 and 3.3, respectively.
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References
Ruedenberg, K.: Rev. Mod. Phys. 34, 326 (1962)
Buenker, R., Peyerimhoff, S. D.: Chem. Rev. 74, 127 (1974)
Fischer, H., Kollmar, H.: Theoret. Chim. Acta (Berl.), 16, 163 (1970)
Driessler, F., Kutzelnigg, W.: Theoret. Chim. Acta (Berl.) 43, 1 (1976)
Driessler, F., Kutzelnigg, W.: Theoret. Chim. Acta (Berl.) 43, 307 (1977)
Kollmar, H.: Theoret. Chim. Acta (Berl.) 50, 235 (1978)
Pople, J. A., Santry, D. P., Segal, G. A.: J. Chem. Phys. 43S, 129 (1965)
Goddard, W. A.: Theoret. Chim. Acta (Berl.) 26, 211 (1972)
Takahata, Y., Parr, R. G.: Chem. Phys. Letters 4, 109 (1969)
Coulson, C. A., Neilson, A. H.: Disc. Faraday Soc. 35, 71 (1963)
Davidson, E. R.: J. Chem. Phys. 57, 1999 (1972)
Politzer, P.: Isr. J. Chem. 19, 224 (1980)
Coulson, C. A., Deb, B. M.: Intern. J. Quantum. Chem. 5, 411 (1971)
Walsh, A. D.: J. Chem. Soc. pp. 2260–2331 (1953)
Clementi, E.: J. Chem. Phys. 46, 3842 (1967)
Gopinathan, M. S., Ravimohan, C.: Chem. Phys. Letters 85, 307 (1982)
Slater, J. C.: J. Chem. Phys. 1, 687 (1933)
Cook, D. B.: Ab initiovalence computations, p. 114, London: Butterworths 1974
Snyder, L. C., Basch, H.: Molecular wavefunctions and properties, New York: Wiley 1972
Maksic, Z. B., Rupnik, K.: Z. Naturforsch. 38a, 308 (1983); Ruedenberg, K.: J. Chem. Phys. 66, 375 (1977)
Hehre, W. J., Lathan, W. A., Ditchfield, R., Newton, M. D., Pople, J. A.: Quantum Chemistry Program Exchange, University of Indiana, Bloomington, No. 236
Frost, A. A.: J. Chem. Phys. 47, 3707 (1967)
Hall, G. G.: Phil. Mag. 6, 249 (1961)
Neumann, D., Moskowitz, J. W.: J. Chem. Phys. 49, 2056 (1968); Neumann, D. B., Moskowitz, J. W.: J. Chem. Phys. 50, 2216(1969); Bak, B., Clementi, E., Kortzeborn R. N.: J. Chem. Phys. 52, 764 (1970)
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Ravimohan, C., Gopinathan, M.S. Molecular electronic virial theorem. Theoret. Chim. Acta 67, 199–209 (1985). https://doi.org/10.1007/BF00551266
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DOI: https://doi.org/10.1007/BF00551266