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Summary: Accurate quantum Monte Carlo calculations for hydrogen fluoride
and the fluorine atom
Arne Lu¨chow and James B. Anderson
Department of Chemistry, The Pennsylvania State University, University Park, Pennsylvania 16802
Received 21 March 1996; accepted 11 June 1996
Quantum Monte Carlo calculations of the ground state energies of the fluorine atom and the
hydrogen fluoride molecule have been carried out using both fixed-node and released-node methods.
The fixed-node total energies for both F and FH are among the most accurate available. The
fixed-node dissociation energy De 141.3 4 kcal mol 1
is in excellent agreement with
experimental data. The cancellation of the nodal error was achieved with trial wave functions having
nodal surfaces determined by Slater determinants of the near HartreeFock limit quality. With the
released-node Green's function quantum Monte Carlo method the lowest upper bounds to the
ground state energies to date for both F E0 99.731 4 Hartree and FH E0 100.458 5
Hartree have been obtained. © 1996 American Institute of Physics. S0021-9606 96 00935-X
I. INTRODUCTION
The quantum Monte Carlo method has been successful
in calculating accurately the ground state energy and other
properties of many atoms and molecules.13
For few-electron
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