Abstract
A new basis set of functions of the form Hn1[(a)1/2x]Hn2[(a)1/2y]Hn3[(a)1/2z] exp(− ar2) is proposed for molecular calculations. Explicit formulas for overlap, dipole moment, and kinetic-energy integrals as well as nuclear-attraction and electron-repulsion energy integrals are given. Numerical integration is completely avoided. All integrals are analytical functions of parameters, and only two auxiliary functions are required.
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