Abstract
The complete error potential is a function of electronic and nuclear coordinates which has to be added to the physical potential in order to obtain the eigenfunctions of the molecular Hamiltonian in an a priori specified approximation. This potential is essential for the error theory, in particular it furnishes a simple justification of the Born-Oppenheimer approximation. It is given as a sum of the electronic error potential and that of the intramolecular forces, whose importance is discussed.
Similar content being viewed by others
References
Laforgue A (1953) CR Acad Sci 236:202
Weinstein DH (1934) Proc Nat Acad Sci 20:529
Laforgue A (1954) CR Acad Sci 238:1033
Laforgue A (1954) Thèse Paris; (1954) Cah Phys 57–58:25; (1954) ibid 59:16; (1954) ibid 63:18; (1955) ibid 64:41
Laforgue A (1956) L'analyse de l'erreur liée à la construction des fonctions d'onde approchées en théorie de la matière, Cours libre à la Faculté des Sciences, Paris; (1960 et sq.) Mécanique Ondulatoire et Chimie Quantique, Cours de 3ème cycle, Faculté des Sciences, Lyon; (1969) Calcul d'erreur en Mécanique quantique, Cours de 3ème cycle, Faculté des Sciences, Lyon; (1980) Mécanique quantique Cours de ler cycle, Faculté des Sciences, Reims
Laforgue A (1985) Can J Chem 63:1788
Daudel R, Laforgue A (1951) CR Acad Sci 233:623; (1951) 233:1608
Laforgue A (1957) J Chim Phys 54:413
Koutecky J, Laforgue A (1977) Int J Quantum Chem 11:505
Laforgue A (1959) Cah Phys 112:495
Laforgue A (1957) Ann Fac Sci Saïgon 7
Laforgue A (1958) Colloque sur le calcul des fonctions d'onde moléculaires, p 157, CNRS, Paris
Alexander MN (1969) J Chem Phys 51:5660
Preuss H (1969) Acta Phys Acad Sci Hung 27:191
Casida M (1985) Int J Quantum Chem 27:451 and references therein
King FW, Le Gore MA and Kelly MK (1981) J Chem Phys 75:809 and references therein
Sinanoglu C (1983) Adv Chem Phys 6:315 (see, for instance, pp 399–400)
Burkert U, Allinger NL (1982) Molecular mechanics. Am Chem Soc monograph no 177, Washington DC
Gresh N, Claverie P, Pullman A (1983) Theor Chim Acta 66:1; Gresh N, Pullman A, Claverie P, (1985) Theor Chim Acta 67:11
Laforgue A, Vroelant C, Masse JL (1955) CR Acad Sci 24:1265
Laforgue A, Theophanides T (1974) J Mol Struc 22:125
Laforgue A, Bruceña-Grimbert C, Laforgue-Kantzer D, Del Re G, Barone V (1982) J Phys Chem 86:4436
Laforgue A (1985) J Mol Struct Theochem 120:241
Laforgue A, Roszak S (1983) CR Acad Sci Ser II 297:459
Laforgue A, Jbara O (1985) Ve Congrès int de Chimie quantique, Montréal, Résumés, p 60
Laforgue A, Jbara O (1985) CR Acad Sci Sér II 301:1179
Laforgue A, Varandas AJC (1986) CR Acad Sci Sér II 302:395
Laforgue A, Guérin P (1987) WATOC Congress, Budapest. Intramolecular correlation forces (Poster communication)
Laforgue A, Paldus J, Cizek J (1973) J Chem Phys 59:2560
Laforgue A, Roland S, Ammar M (1974) Ann Université et ARERS Reims 12:1
Author information
Authors and Affiliations
Additional information
Dedicated to Professor J. Koutecký on the occasion of his 65th birthday
Rights and permissions
About this article
Cite this article
Laforgue, A., Guérin, P. Complete error potential. Theoret. Chim. Acta 74, 269–274 (1988). https://doi.org/10.1007/BF00530224
Received:
Revised:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/BF00530224