[
    {
        "id": "authors:m6yvr-43n58",
        "collection": "authors",
        "collection_id": "m6yvr-43n58",
        "cite_using_url": "https://resolver.caltech.edu/CaltechAUTHORS:20180720-133817879",
        "type": "article",
        "title": "A new type of wavefunction for BH",
        "author": [
            {
                "family_name": "Blint",
                "given_name": "R. J.",
                "clpid": "Blint-R-J"
            },
            {
                "family_name": "Goddard",
                "given_name": "W. A., III",
                "orcid": "0000-0003-0097-5716",
                "clpid": "Goddard-W-A-III"
            },
            {
                "family_name": "Ladner",
                "given_name": "R. C.",
                "clpid": "Ladner-R-C"
            },
            {
                "family_name": "Palke",
                "given_name": "W. E.",
                "clpid": "Palke-W-E"
            }
        ],
        "abstract": "The wavefunctions of BH have been obtained using a generalization of the valence bond and Hartree-Fock methods known as the Spin-Coupling Optimized GI (SOGI) method. The shapes of the bonding and especially the nonbonding orbitals are discussed as are several properties of the molecules.",
        "doi": "10.1016/0009-2614(70)85147-8",
        "issn": "0009-2614",
        "publisher": "Elsevier",
        "publication": "Chemical Physics Letters",
        "publication_date": "1970-04-15",
        "series_number": "5",
        "volume": "5",
        "issue": "5",
        "pages": "302-306"
    },
    {
        "id": "authors:nxacv-nkh56",
        "collection": "authors",
        "collection_id": "nxacv-nkh56",
        "cite_using_url": "https://resolver.caltech.edu/CaltechAUTHORS:20120905-103928118",
        "type": "article",
        "title": "Improved Quantum Theory of Many-Electron Systems. V. The Spin-Coupling Optimized GI Method",
        "author": [
            {
                "family_name": "Ladner",
                "given_name": "Robert C.",
                "clpid": "Ladner-R-C"
            },
            {
                "family_name": "Goddard",
                "given_name": "William A., III",
                "orcid": "0000-0003-0097-5716",
                "clpid": "Goddard-W-A-III"
            }
        ],
        "abstract": "The previously developed GI methods have an arbitrary aspect since they are based on a particular representation of the symmetric group. Here we remove this arbitrariness by optimizing the representation, that is, optimizing the spin\u2010coupling scheme simultaneously with the optimization of the orbitals. The resulting wavefunctions, called the spin\u2010coupling optimized GI or SOGI wavefunctions, have all of the general properties of GI wavefunctions including the independent particle interpretation and are found as the solutions to a set of coupled differential equations which differ from the GI equations only in that the equations are constructed from a different representation of the symmetric group. We have applied this method to the ground state and some excited states of Li, to the ground states of Be^+ and B^(++) and to the ground state of LiH. In each of these cases, we found that the SOGI wavefunction was only slightly different from the G1 wavefunction and led to very similar energies and other spatial properties. For the spin density at the nucleus, however, SOGI led to much better results. In order to illustrate the effects of spatial symmetry on the SOGI orbitals, we examined the lowest ^1B_(1g), ^3A_(2g), and ^3E_u states of square H_4 and the ^2\u03a3_u^+ state of linear symmetrical H_3. We find that in three of these cases optimization of the spin representation is crucial to providing an adequate description of the state. To investigate how the SOGI method would describe chemical reactions, the SOGI wavefunctions were computed for several other nuclear configurations of the H_3 system along the reaction path. These calculations showed that the spin coupling changed significantly during the reaction H_2\u2009+\u2009H\u21c6H\u2009+\u2009H_2 and that the variation of the SOGI orbitals provides a clear description of the changes in bonding which occur during this reaction.",
        "doi": "10.1063/1.1672106",
        "issn": "0021-9606",
        "publisher": "American Institute of Physics",
        "publication": "Journal of Chemical Physics",
        "publication_date": "1969-08-01",
        "series_number": "3",
        "volume": "51",
        "issue": "3",
        "pages": "1073-1088"
    },
    {
        "id": "authors:9qdns-qkn54",
        "collection": "authors",
        "collection_id": "9qdns-qkn54",
        "cite_using_url": "https://resolver.caltech.edu/CaltechAUTHORS:20180712-130448241",
        "type": "article",
        "title": "The optimum orbitals for the H2 + D\u21ccH + HD exchange reaction",
        "author": [
            {
                "family_name": "Goddard",
                "given_name": "William A., III",
                "orcid": "0000-0003-0097-5716",
                "clpid": "Goddard-W-A-III"
            },
            {
                "family_name": "Ladner",
                "given_name": "Robert C.",
                "clpid": "Ladner-R-C"
            }
        ],
        "abstract": "An initio calculations of the optimum generalized self\u2010consistent field orbitals of H2D have been carried out at various points along the reaction path for the three\u2010center exchange reaction, H2 + D\u21cbH + HD. The emphasis here is on a qualitative interpretation of the changes in these orbitals during the reaction.",
        "doi": "10.1002/qua.560030711",
        "issn": "0020-7608",
        "publisher": "Wiley",
        "publication": "International Journal of Quantum Chemistry",
        "publication_date": "1969-01-13",
        "series_number": "S3A",
        "volume": "3",
        "issue": "S3A",
        "pages": "63-66"
    }
]