TY - JOUR

T1 - Localized representations for large amplitude molecular vibrations

AU - Bačić, Z.

AU - Whitnell, R. M.

AU - Brown, D.

AU - Light, J. C.

N1 - Funding Information:
This research was supported in part by the National Science Foundation Grant CHE 8505001.

PY - 1988

Y1 - 1988

N2 - Two novel, closely related variational quantum approaches for efficient and accurate calculation of highly excited vibrational levels of triatomic molecules are presented. The two approaches employ, in slightly different ways, the discrete variable representation (DVR) and the distributed Gaussian basis (DGB) for representation of the internal degrees of freedom. The scope of their applicability is broad; they are particularly suitable for molecules having one or more large amplitude vibrations, on potential surfaces with several local minima. Although formulated in Jacobi and hyperspherical coordinates, respectively, both approaches can be implemented in any coordinate system for which suitable DVRs can be defined. The DVR allows us to define sequentially problems of lower dimensionality, whose truncated sets of eigenvectors serve as very compact, contracted basis sets for the higher dimensional problem. Other important advantages of the DVR-DGB approaches, as well as applications to molecules like LiCN/LiNC, HCN/HNC and H2O, are discussed.

AB - Two novel, closely related variational quantum approaches for efficient and accurate calculation of highly excited vibrational levels of triatomic molecules are presented. The two approaches employ, in slightly different ways, the discrete variable representation (DVR) and the distributed Gaussian basis (DGB) for representation of the internal degrees of freedom. The scope of their applicability is broad; they are particularly suitable for molecules having one or more large amplitude vibrations, on potential surfaces with several local minima. Although formulated in Jacobi and hyperspherical coordinates, respectively, both approaches can be implemented in any coordinate system for which suitable DVRs can be defined. The DVR allows us to define sequentially problems of lower dimensionality, whose truncated sets of eigenvectors serve as very compact, contracted basis sets for the higher dimensional problem. Other important advantages of the DVR-DGB approaches, as well as applications to molecules like LiCN/LiNC, HCN/HNC and H2O, are discussed.

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U2 - 10.1016/0010-4655(88)90060-4

DO - 10.1016/0010-4655(88)90060-4

M3 - Article

AN - SCOPUS:0002660056

SN - 0010-4655

VL - 51

SP - 35

EP - 47

JO - Computer Physics Communications

JF - Computer Physics Communications

IS - 1-2

ER -