GTOBAS: fitting continuum functions with Gaussian-type orbitals

نویسندگان

  • Alexandre Faure
  • Jimena D. Gorfinkiel
  • Lesley A. Morgan
  • Jonathan Tennyson
چکیده

GTOBAS is a program for fitting Gaussian-type orbitals (GTOs) to Bessel and Coulomb functions over a finite range. The exponents of the GTOs are optimized using the method of Nestmann and Peyerimhoff [J. Phys. B 23 (1990) L773]. The appended module NUMCBAS provides the numerical Bessel and Coulomb functions required as input for the program. The use of GTO continuum basis sets is particularly important in electron–molecule scattering calculations when polyatomic targets are involved. Sample results for such calculations are also discussed.  2002 Elsevier Science B.V. All rights reserved. PACS: 02.60.Ed; 34.80.-i; 52.20.Fs

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Numerical analysis of Gaussian approximations in quantum chemistry

Bases of atomic-like functions provide a natural, physically motivated description of electronic states, and Gaussian-type orbitals are the most widely used basis functions in molecular simulations. This paper aims at developing a systematic analysis of numerical approximations based on linear combinations of some Gaussian-type orbitals. We give a priori error estimates for Hermite-type Gaussia...

متن کامل

Molecular integrals over spherical Gaussian-type orbitals: II. Modified with plane-wave phase factors

Multi-centre molecular integrals over spherical Gaussian-type orbitals modified with plane-wave phase factors, which arise in the close-coupling treatment of ion–atom collisions as well as in some molecular structure calculations, are evaluated analytically in closed form by means of the Fourier transform and the addition theorem of harmonic polynomials. The resulting integral formulae for sphe...

متن کامل

Molecular integrals over spherical Gaussian-type orbitals: I

A novel derivation, involving the Fourier transform and the addition theorem of harmonic polynomials, is presented for multi-centre molecular integrals over spherical Gaussiantype orbitals. Compact closed-form formulae, consisting of vector-coupling coefficients and well known functions only, are obtained for all multi-centre molecular integrals. The resulting formulae manifest the angular and ...

متن کامل

Four-center Integral of a Dipolar Two-electron Potential Between s-type GTO’s

for orbitals ψ centered at places A, B, C and D. The Gauss Transformation Method has been shown to calculate the integral if the orbitals ψ are expanded in a basis of Gaussian Type Orbitals (GTO’s) [4]; this manuscript basically demonstrates how dealing with the quadratic forms in the exponentials directly also manages to reduce them to the omnipresent Confluent Hypergeometric Functions of the ...

متن کامل

Continuum Wavefunction Solver for Grasp

Relativistic VN−1 continuum orbitals are solved numerically within the framework of the GRASP code [1]. Normalization is accomplished with a relativistic WKB method or curve fitting, depending on whether the core is an ion or is neutral. In the normalization, the phase shift (relative to hydrogen) is also calculated. The spacing of the radial grid at large radial distances is automatically dete...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2001