Abstract
The characteristic features of model potentials, effective potentials and pseudopotentials are carefully investigated. Then we justify our choice to work only with hermitian pseudopotential operators, and we develop a general non-empirical method to determine atomic pseudopotentials. In view of their numerical use for molecular calculations, these pseudopotentials are cast into semi-local forms, and their parameters are obtained by a least-squares process; tables of parameter values are given for the two first rows of the periodic system.
Similar content being viewed by others
References
Heine,V.: Solid State Phys.24, 1 (1970)
Ziman,J.M.: Solid State Phys.26, 1 (1971)
Weeks,J.D., Hazi,A., Rice,S.A.: Advan. Chem. Phys.16, 283 (1969)
Bardsley,J.N.: Case Studies Atomic Phys.4, 299 (1974)
Barthelat,J.C., Durand,Ph.: Chem. Phys. Letters16, 63 (1972); J. Chim. Phys.71, 505 (1974); J. Chim. Phys.71, 1105 (1974)
Durand,Ph., Barthelat,J.C.: Chem. Phys. Letters27, 191 (1974)
Barthelat,J.C., Nicolas,G.: Vème Colloque International des Chimistes theoriciens d'expression latine. Morelia 1974
Öhrn,Y, McWeeny,R.: Arkiv Fysik31, 461 (1966)
Slater,J.C.: Phys. Rev.36, 57 (1930)
Clementi,E., Raimondi,D.L.: J. Chem. Phys.38, 2686 (1963)
Clementi,E., Raimondi,D.L., Reinhardt,W.P.: J. Chem. Phys.47, 1300 (1967)
Gombás,P.: Theoret. Chim. Acta (Berl.)5, 112 (1966)
Gombás,P., Szondy,T.: Solutions of the simplified self-consistent field for all atoms of the periodic system of elements from Z = 2 to Z = 92. London: Hilger 1970
Burns,G.: J. Chem. Phys.41, 1521 (1964)
Schwarz,W.H.E.: Theoret. Chim. Acta (Berl.)24, 29 (1972)
Raffenetti,R.C., Ruedenberg,K.: J. Chem. Phys.59, 5950 (1973)
Schwarz,W.H.E.: Theoret. Chim. Acta (Berl.)23, 147 (1971)
Clementi,E.: Tables of atomic functions, IBM J. Res. Develop. Suppl.9, 2 (1965); Clementi,E., Matcha,R.,Veillard,A.: IBM Res. NoteNJ 117(1967)
Mann, J.B.: Atomic structure calculations. I. Hartree-Fock energy results for the elements hydrogen to lawrencium. Los Alamos Scientific Laboratory, LA-3690 (1967)
Powell,M.J.D.: Computer J.7, 155 (1964)
Simons,G.: J. Chem. Phys.55, 756 (1971); Chem. Phys. Letters 12, 404 (1971): 18, 315 (1973)
Bloch,A.N., Simons,G.: J. Am. Chem. Soc.94, 8611 (1972)
Simons,G., Bloch,A.N.: Phys. Rev.B7, 2754 (1973)
Hellmann,H.: J. Chem. Phys.3, 61 (1935); Acta Physicochim. URSS 1,913 (1935)
Preuss,H.: Z. Naturforsch.10a, 365 (1955)
Szasz,L., McGinn,G.: J. Chem. Phys.42, 2363 (1965);45, 2898 (1966); McGinn, G.: J. Chem. Phys.58, 772 (1973)
Abarenkov,I.V., Antonova,I.M.: Phys. Stat. Sol.20, 643 (1967)
Schwarz,W.H.E.: Theoret. Chim. Acta (Berl,)11, 377 (1968);15, 235 (1969)
Schwarz,W.H.E.: Acta Phys. Acad. Sci. Hung.27, 391 (1969); Chem. Phys. Letters10, 478 (1971)
Stewart,R.F.: J. Chem. Soc., Faraday Trans. II,1, 85 (1974)
Schwartz,M.E., Switalski,J.D.: J. Chem. Phys.57, 4125 (1972);57,4132 (1972)
Schwartz,M.E.: Chem. Phys. Letters21, 314 (1973)
Switalski,J.D., Huang,J.T.J., Schwartz,M.E.: J. Chem. Phys.60, 2252 (1974)
Ladányi,K.: Acta Phys. Hung.5, 361 (1956)
Gáspár,R., Tamássy-Lentei,I.: Acta Phys. Acad. Sci. Hung.33, 387 (1973)
Pohl,H.A., Fowler,D.R.: Intern. J. Quantum Chem.8, 435 (1974)
Szasz,L., McGinn,G.: J. Chem. Phys.48, 2997 (1968)
Schwarz,W.H.E.: Theoret.Chim. Acta(Berl.)11, 307 (1968)
Chang,T.C., Habitz,P., Pittel,B., Schwarz,W.H.E.: Theoret. Chim. Acta (Berl.)34, 263 (1974)
Bardsley,J.N.: Chem. Phys. Letters7, 517 (1970)
Giuliano,E.S., Ruggeri,R.: Nuovo Cim.B61, 53 (1969)
Kutzelnigg,W., Koch,R.J., Bingel,W.A.: Chem. Phys. Letters2, 197 (1968)
Bingel,W.A., Koch,R.J., Kutzelnigg,W.: Acta Phys. Acad. Sci. Hung.27, 323 (1969)
Kleiner,M., McWeeny,R.: Chem. Phys. Letters19, 476 (1973)
Bonifacic,V., Huzinaga,S.: J. Chem. Phys.60, 2779 (1974);62, 1507 (1975)
Austin,B.J., Heine,V., Sham,L.J.: Phys. Rev.127, 276 (1962)
Weeks,J.D., Anderson,P.W., Davidson,A.G.H.: J. Chem. Phys.58, 1388 (1973)
Szasz,L., McGinn,G.: J. Chem. Phys.47, 3495 (1967)
Goddard III,W.A.: Phys. Rev.174, 659 (1968)
Kahn,L.R., Goddard III,W.A.: J. Chem. Phys.56, 2685 (1972)
Abarenkov,I.V., Heine,V.: Phil. Mag.12, 529 (1965)
Animalu,A.O.E.: Phys. Rev.B8, 3542 (1973)
Melius,C.F., Goddard III,W.A.: Phys. Rev.A10, 1528 (1974); Melius,C.F., Olafson,B.D., Goddard III, W.A.: Chem. Phys. Letters28, 457 (1974)
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Durand, P., Barthelat, JC. A theoretical method to determine atomic pseudopotentials for electronic structure calculations of molecules and solids. Theoret. Chim. Acta 38, 283–302 (1975). https://doi.org/10.1007/BF00963468
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00963468