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Physical Chemistry Chemical Physics

An international journal for the fastest publication of high-quality original work in physical chemistry, chemical physics and biophysical chemistry.



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Paper

Phys. Chem. Chem. Phys., 2008, 10, 3447 - 3453, DOI: 10.1039/b803919d


Intracule functional models
Part III. The dot intracule and its Fourier transform


Yves A. Bernard, Deborah L. Crittenden and Peter M. W. Gill


The dot intracule D(x) of a system gives the Wigner quasi-probability of finding two of its electrons with u·v = x, where u and v are the interelectronic distance vectors in position and momentum space, respectively. In this paper, we discuss D(x) and show that its Fourier transform d(k) can be obtained in closed form for any system whose wavefunction is expanded in a Gaussian basis set. We then invoke Parsevals theorem to transform our intracule-based correlation energy method into a d(k)-based model that requires, at most, a one-dimensional quadrature.

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