- Access by Xinjiang University
Properties and Uses of Natural Orbitals
Rev. Mod. Phys. 44, 451 – Published 1 July, 1972
DOI: https://doi.org/10.1103/RevModPhys.44.451
Abstract
Natural orbitals are a particularly efficient choice of single-particle states for use in construction of electronic wave functions. This review discusses the general properties of the natural orbitals. Natural orbitals are compared to Hartree-Fock orbitals and relative merits are presented. Methods of determining and using natural orbitals in construction of electronic wave functions are presented.
References (94)
- Ahlrichs, R. 1970, Theoret. Chim. Acta 17, 348
- Ahlrichs, R., and W. Kutzelnigg, 1968a, J. Chem. Phys. 48, 1819
- Ahlrichs, R.W. Kutzelnigg, and W. Kutzelnigg, 1968b, Theoret. Chim. Acta 10, 377
- Ahlrichs, R.W. KutzelniggW. Kutzelnigg, W. Kutzelnigg, and W. A. Bingel, 1966a, Theoret. Chim. Acta 5, 289
- Ahlrichs, R.W. KutzelniggW. KutzelniggW. KutzelniggW. A. Bingel, W. Kutzelnigg, and W. A. Bingel, 1966b, Theoret. Chim, Acta 5, 305
- Allen, T. L. and H. Shull, 1962, J. Phys. Chem. 66, 2281
- Anex, B. G., and H. Shull, 1964, in Molecular Orbitals in Chemistry, Physics, and Biology, edited by P.-O. Löwdin and B. Pullman, (Academic, New York), p. 227
- Arai, T., 1960, J. Chem. Phys. 33, 95
- Banyard, K. E. and C. C. Baker, 1969, J. Chem. Phys. 51, 2680
- Banyard, K. E.C. C. Baker, and A. D. Tait, 1968, J. Chem. Phys. 49, 3050
- Barnett, G. P., J. Linderberg, and H. Shull, 1965, J. Chem. Phys., 43, S80
- Bender, C. F. and E. R. Davidson, 1966, J. Phys. Chem. 70, 2675
- Bender, C. F.E. R. Davidson, and E. R. Davidson, 1967a, J. Chem. Phys. 47, 360
- Bender, C. F.E. R. DavidsonE. R. Davidson, and E. R. Davidson, 1967b, J. Chem. Phys. 47, 4972
- Bender, C. F.E. R. DavidsonE. R. DavidsonE. R. Davidson, and E. R. Davidson, 1968a, Reduced Density Matrices with Applications to Physical and Chemical Systems, edited by A. J. Coleman and R. M. Erdahl, Queen's Papers in Pure and Applied Mathematics (Queen's University, Kingston, Ontario), No. 11, p. 335 Applied Mathematics, No. 11, p. 335
- Bender, C. F.E. R. DavidsonE. R. DavidsonE. R. DavidsonE. R. Davidson, and E. R. Davidson, 1968b, J. Chem. Phys. 49, 4222
- Bender, C. F.E. R. DavidsonE. R. DavidsonE. R. DavidsonE. R. DavidsonE. R. Davidson, and E. R. Davidson, 1969a, Phys. Rev. 183, 23
- Bender, C. F.E. R. DavidsonE. R. DavidsonE. R. DavidsonE. R. DavidsonE. R. DavidsonE. R. Davidson, and E. R. Davidson, 1969b, Chem. Phys. Letters 3, 33
- Bingel, W. A., 1960, J. Chem. Phys. 32, 1522
- Bingel, W. A., 1962, J. Chem. Phys. 36, 2842
- Bingel, W. A., 1970, Theoret. Chim. Acta 16, 319
- Bingel, W. A., and W. Kutzelnigg, 1968, in Reduced Density Matrices with Applications to Physical and Chemical Systems, edited by A. J. Coleman and R. M. Erdahl, Queen's Papers in Pure and Applied Mathematics (Queen's University, Kingston, Ontario), No. 11, p. 385
- Bingel, W. A.W. Kutzelnigg, and W. Kutzelnigg, 1970, Advan. Quantum Chem. 5, 201
- Brown, W. Byers and G. V. Nazaroff, 1967, Intern. J. Quant. Chem. 1, 463
- Bunge, A., 1970, J. Chem. Phys. 53, 20
- Bunge, C. F., 1968, Phys. Rev. 168, 92
- Carlson, B. C. and J. M. Keller, 1961, Phys. Rev. 121, 659
- Chan, A. C. H. and E. R. Davidson, 1968, J. Chem. Phys. 49, 727
- Chan, A. C. H.E. R. Davidson, and E. R. Davidson, 1970, J. Chem. Phys. 52, 4108
- Christofferson, R. E. and H. Shull, 1968, J. Chem. Phys. 48, 1790
- Coleman, A. J., 1963, Rev. Mod. Phys. 35, 668
- Cressy, N., K. R. Miller, and K. Ruedenberg, 1969, Intern. J. Quant. Chem. 3, 107
- Das, G., and A. C. Wahl, 1966, J. Chem. Phys. 44, 87
- Davidson, E. R., 1961, J. Chem. Phys. 35, 1189
- Davidson, E. R., 1962, J. Chem. Phys. 37, 577
- Davidson, E. R., 1963, J. Chem. Phys. 39, 875
- Davidson, E. R., 1968, J. Chem. Phys. 48, 3169
- Davidson, E. R., and L. L. Jones, 1962a, J. Chem. Phys. 37, 1918
- Davidson, E. R.L. L. Jones, and L. L. Jones, 1962b, J. Chem. Phys. 37, 2966
- Ebbing, D. D. and R. C. Henderson, 1965, J. Chem. Phys. 42, 2225
- Edmiston, C. E. and M. Krauss, 1966, J. Chem. Phys. 45, 1833
- Edmiston, C. E.M. Krauss, and M. Krauss, 1968, J. Chem. Phys. 49, 192
- Eliason, M. A. and J. O. Hirschfelder, 1959, J. Chem. Phys. 30, 1397
- Hagstrom, S. and H. Shull, 1963, Rev. Mod. Phys. 35, 624
- Hirschfelder, J. O., W. Byers Brown, and S. Epstein, 1964, Adv. Quant. Chem. 1, 255
- Hirschfelder, J. O.W. Byers BrownS. Epstein, and P.-O. Löwdin, 1959, Mol. Phys. 2, 229
- Hirschfelder, J. O.W. Byers BrownS. EpsteinP.-O. Löwdin, and P.-O. Löwdin, 1965, Mol. Phys. 9, 491
- Hurley, A. C., 1960, Rev. Mod. Phys. 32, 400
- Hurley, A. C., J. E. Lennard-Jones, and A. J. Pople, 1953, Proc. Roy. Soc. (London) A220, 446
- Jungen, M. and R. Ahlrichs, 1970, Theoret. Chim. Acta 17, 339
- Kelly, H. P., 1963, Phys. Rev. 131, 684
- Kobe, D. H., 1969, J. Chem. Phys. 50, 5183
- Konowalow, D. D., W. H. Barker, and R. Mandel, 1968, J. Chem. Phys. 49, 5137
- Kutzelnigg, W., 1963a, Theoret. Chim. Acta 1, 327
- Kutzelnigg, W., 1963b, Theoret. Chim. Acta 1, 343
- Kutzelnigg, W., 1963c, Z. Naturforsch. 18a, 1058
- Kutzelnigg, W., 1964, J. Chem. Phys. 40, 3640
- Kutzelnigg, W., R. Ahlrichs, I. Labib-Iskander, and W. A. Bingel, 1967, Chem. Phys. Letters 1, 447
- Linderberg, J., 1964, J. Mol. Spect. 12, 210
- P.-O. Löwdin, 1955, Phys. Rev. 97, 1474
- P.-O. Löwdin, 1959, Adv. Chem. Phys. 2, 207
- P.-O. Löwdin, and H. Shull, 1956, Phys. Rev. 101, 1730
- Macias, A., 1968, J. Chem. Phys. 49, 2198
- March, N. H., W. Y. Young, and S. Sampanthar, 1967, The Many-Body Problem in Quantum Mechanics (Cambridge U. P., Cambridge, England)
- Matsumoto, G. H., C. F. Bender, and E. R. Davidson, 1967, J. Chem. Phys. 46, 402
- McWeeny, R., 1960, Rev. Mod. Phys. 32, 335
- McWeeny, R., and W. Kutzelnigg, 1968, Intern. J. Quant. Chem. 2, 187
- Mehler, E. L., K. Ruedenberg, and D. M. Silver, 1970, J. Chem. Phys. 52, 1181
- Miller, K. J. and K. Ruedenberg, 1965, J. Chem. Phys. 43, S88
- Miller, K. J.K. Ruedenberg, and K. Ruedenberg, 1968, J. Chem. Phys. 48, 3414
- Nazaroff, G. V., 1968, J. Chem. Phys. 48, 3517
- Nazaroff, G. V., and J. O. Hirschfelder, 1963, J. Chem. Phys. 39, 715
- Nesbet, R. K., 1968, Phys. Rev. 175, 2
- Olympia, P. L., 1970, Theoret. Chim. Acta 16, 145
- Olympia, P. L., and B. M. Fung, 1970, J. Chem. Phys. 53, 1066
- Reid, C. E. and Y. Ohrn, 1963, Rev. Mod. Phys. 35, 445
- Reinhardt, W. P. and J. D. Doll, 1969, J. Chem. Phys. 50, 2767
- Rothenberg, S. and E. R. Davidson, 1966, J. Chem. Phys. 45, 2560
- Rothenberg, S.E. R. Davidson, and E. R. Davidson, 1967, J. Mol. Spectry. 22, 1
- Sanders, W. A. and M. Krauss, 1968, J. Res. Natl. Bur. Std. 72A, 85
- Schaeffer, H. F., III, 1971, J. Chem. Phys. 54, 2207
- Shull, H., 1959, J. Chem. Phys. 30, 1405
- Shull, H., 1964, J. Am. Chem. Soc. 86, 1469
- Shull, H., and P.-O. Löwdin, 1955, J. Chem. Phys. 23, 1565
- Shull, H.P.-O. Löwdin, and P.-O. Löwdin, 1959, J. Chem. Phys. 30, 617
- Shull, H.P.-O. LöwdinP.-O. Löwdin, and F. Prosser, 1964, J. Chem. Phys. 40, 233
- Silver, D. M., E. L. Mehler, and K. Ruedenberg, 1970, J. Chem. Phys. 52, 1174
- Silver, D. M.E. L. MehlerK. Ruedenberg, K. Ruedenberg, and E. L. Mehler, 1970, J. Chem. Phys. 52, 1206
- Siu, A. K. Q. and E. R. Davidson, 1970, Intern. J. Quant. Chem. 4, 223
- Smith, D. W., 1968, in Reduced Density Matrics with Applications to Physical and Chemical Systems, edited by A. J. Coleman and R. M. Erdahl, Queen's Papers in Pure and Applied Mathematics (Queen's University, Kingston, Ontario), No. 11, p. 169
- Smith, D. W., and S. J. Fogel, 1965, J. Chem. Phys. 43, S91
- Smith, V. H., 1967, Theoret. Chim. Acta 7, 245
- Smith, V. H., and S. Larsson, 1968, in Reduced Density Matrices with Applications to Physical and Chemical Systems, edited by A. J. Coleman and R. M. Erdahl, Queen's Papers in Pure and Applied Mathematics (Queen's University, Kingston, Ontario), No. 11, p. 296
- Wang, P. S. C., 1970, J. Chem. Phys. 52, 4459