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Compact and flexible basis functions for quantum Monte Carlo calculations

Cornell Affiliated Author(s)

Author

F.R. Petruzielo
J. Toulouse
C.J. Umrigar

Abstract

Molecular calculations in quantum Monte Carlo frequently employ a mixed basis consisting of contracted and primitive Gaussian functions. While standard basis sets of varying size and accuracy are available in the literature, we demonstrate that reoptimizing the primitive function exponents within quantum Monte Carlo yields more compact basis sets for a given accuracy. Particularly large gains are achieved for highly excited states. For calculations using nondiverging pseudopotentials, we introduce Gauss-Slater basis functions that behave as Gaussians at short distances and Slaters at long distances. These basis functions further improve the energy and fluctuations of the local energy for a given basis size. Gains achieved by exponent optimization and Gauss-Slater basis use are exemplified by calculations for the ground state of carbon, the lowest lying excited states of carbon with 5So, 3Po, 1Do, and 3F o symmetries, carbon dimer, and naphthalene. Basis-size reduction enables quantum Monte Carlo treatment of larger molecules at high accuracy. © 2010 American Institute of Physics.

Date Published

Journal

Journal of Chemical Physics

Volume

132

Issue

9

URL

https://www.scopus.com/inward/record.uri?eid=2-s2.0-77949394147&doi=10.1063%2f1.3342062&partnerID=40&md5=f1cb6c41fe0f0c5dfd214d1eec9afb08

DOI

10.1063/1.3342062

Group (Lab)

Cyrus Umrigar Group

Funding Source

DMR-0908653
DOE-DE-FG05-08OR23339
0908653

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