Evaluation of two-center, two-electron integrals

被引:7
|
作者
Ferrón, A [1 ]
Serra, P [1 ]
机构
[1] Natl Univ Cordoba, Fac Matemat Astron & Fis, RA-5000 Cordoba, Argentina
关键词
D O I
10.1021/ct0502662
中图分类号
O64 [物理化学(理论化学)、化学物理学];
学科分类号
070304 ; 081704 ;
摘要
We present a new analytic treatment of two-electron integrals over two-center integrals including correlation (interelectronic distance) explicitly in the wave function. All the integrals needed for the evaluation of the matrix elements of any diatomic two-electron molecule are obtained as analytic recursion expressions. As an application of this method in molecular physics, we calculate the value of the ground-state energy and equilibrium internuclear distance of the hydrogen molecule in the Born-Oppenheimer approximation.
引用
收藏
页码:306 / 311
页数:6
相关论文
共 50 条
  • [31] The BRUSH algorithm for two-electron integrals on GPU
    Rak, Adam
    Cserey, Gyoergy
    CHEMICAL PHYSICS LETTERS, 2015, 622 : 92 - 98
  • [32] Comment on “numerical treatment of two-center overlap integrals”
    Frank E. Harris
    Journal of Molecular Modeling, 2007, 13 : 949 - 950
  • [33] Two-center nonexchange integrals over Slater orbitals
    Barnett, MP
    JOURNAL OF CHEMICAL PHYSICS, 2000, 113 (21): : 9419 - 9428
  • [34] Two-center effects in electron excitation
    Ramirez, CA
    Rivarola, RD
    TWO-CENTER EFFECTS IN ION-ATOM COLLISIONS, 1996, (362): : 229 - 232
  • [35] Comment on "numerical treatment of two-center overlap integrals"
    Harris, Frank E.
    JOURNAL OF MOLECULAR MODELING, 2007, 13 (09) : 949 - 950
  • [36] ALPHA-FUNCTION TECHNIQUE FOR TWO-CENTER INTEGRALS
    SHARMA, RR
    JOURNAL OF MATHEMATICAL PHYSICS, 1968, 9 (04) : 505 - &
  • [37] Calculation of two-center one-electron molecular integrals and their application to a real system
    Kara, M
    Simsek, M
    INTERNET JOURNAL OF CHEMISTRY, 2004, 7 (03):
  • [38] Calculation of two-center integrals involving a rapidly oscillating free electron wave function
    OpdeBeek, SS
    Driessen, JPJ
    Beijerinck, HCW
    Verhaar, BJ
    JOURNAL OF CHEMICAL PHYSICS, 1997, 106 (01): : 182 - 194
  • [39] Analytic derivatives for the Cholesky representation of the two-electron integrals
    Aquilante, Francesco
    Lindh, Roland
    Pedersen, Thomas Bondo
    JOURNAL OF CHEMICAL PHYSICS, 2008, 129 (03):
  • [40] Note: Another resolution of the identity for two-electron integrals
    Miller, William H.
    JOURNAL OF CHEMICAL PHYSICS, 2012, 136 (21):