Web Release Date: January 15,
Hartree-Fock and Density Functional Theory ab Initio Calculation of Optical Rotation Using GIAOs: Basis Set Dependence
Gaussian, Inc., 140 Washington Avenue, North Haven, Connecticut 06473
Department of Chemistry, University of Southern California, Los Angeles, California 90089-0482
Received: September 24, 1999
In Final Form: November 29, 1999
Abstract:
Ab initio Hartree-Fock (HF) and density functional theory (DFT) calculations of the electric dipole-magnetic
dipole polarizability 

are reported for the chiral molecules methyloxirane (1) and trans-dimethylthiirane
(2) in the static limit. Values of
= 1/3Tr[

] obtained thence are used to predict the specific optical rotations
[
]D of 1 and 2. Gauge-including atomic orbitals (GIAOs) are used to ensure origin independence of
and
[
]D.
and [
]D values converge slowly to the complete basis set limit. Basis sets including diffuse functions
are required to achieve reliable results. HF and DFT values of 

differ generally by 10-30%. Calculated
[
]D values for 1 and 2 obtained using large basis sets agree well with experimental values in sign and
magnitude. The deviations can be attributed in part to the neglect of the frequency dependence of
and of
solvent effects.
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