作者: J. Harris , G. S. Painter
关键词: Gaussian integral 、 Formalism (philosophy of mathematics) 、 Physics 、 Linear combination 、 Tin 、 Atomic cluster 、 Atomic orbital 、 Basis set 、 SPHERES 、 Quantum mechanics
摘要: A new approach for solving the Hohenberg-Kohn-Sham density-functional equations atomic clusters of moderate size and arbitrary symmetry is described. basis set introduced in spirit LCMTO (linear combination muffin-tin orbitals) method Andersen with a (phi,phi-dot) form inside each sphere. However, advantageous features conventional linear-combination-of-atomic-orbitals are brought by introducing only atomiclike orbital tails region outside spheres. The ''common-kappa'' approximation cellular partitioning abandoned; this it becomes necessary to carry out some three-dimensional integrations. Techniques which allow all integrals contributing secular matrix total energy be evaluated either semianalytically or Gaussian integration smooth functions. Preliminary results H/sub 2/ O/sub demonstrate practicality scheme.