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Advantages of the Fourier space RHF band structure approach: Application to polyoxymethylene using a distributed basis set of s ‐type Gaussian functions
Author(s) -
Flamant I.,
Fripiat J. G.,
Delhalle J.
Publication year - 1998
Publication title -
international journal of quantum chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.484
H-Index - 105
eISSN - 1097-461X
pISSN - 0020-7608
DOI - 10.1002/(sici)1097-461x(1998)70:4/5<1045::aid-qua52>3.0.co;2-0
Subject(s) - basis (linear algebra) , polyoxymethylene , gaussian , basis set , basis function , fourier transform , space (punctuation) , statistical physics , lattice (music) , mathematics , physics , computational chemistry , chemistry , mathematical analysis , quantum mechanics , molecule , computer science , geometry , nuclear magnetic resonance , acoustics , operating system , polymer
In this contribution, we outline the Fourier space‐restricted Hartree–Fock (FS–RHF) approach to the calculation of the band structure of polyoxymethylene (POM) using a distributed basis set of s ‐type Gaussian functions (DSGF) to simulate p ‐type functions. The band structure results are compared to those obtained using minimal STO‐3G basis sets, within the conventional RHF direct space (DS) approach, and subminimal floating spherical Gaussian orbital (FSGO) basis sets. While the FSGO basis sets are unable to describe correctly the oxygen lone pairs and their interactions, the DSGF basis set reproduces qualitatively the features of the band structure observed with the minimal basis set. We show that minor differences between the FS and DS results originate in difficulties of lattice summations within the DS approach, illustrating the advantages of the FS method compared to the conventional DS approach. © 1998 John Wiley & Sons, Inc. Int J Quant Chem 70: 1045–1054, 1998