GENERAL ANALYTIC PROCEDURE FOR CALCULATING 2-CENTER INTEGRALS INVOLVING THE ONE-ELECTRON DIPOLAR COUPLING OPERATOR AND SLATER ATOMIC ORBITALS

被引:8
作者
EDWARDS, SA [1 ]
GOTTLIEB, HPW [1 ]
DODDRELL, DM [1 ]
机构
[1] GRIFFITH UNIV, SCH SCI, NATHAN 4111, Qld, AUSTRALIA
关键词
D O I
10.1080/00268977900102311
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
Analytic expressions are derived for the hybrid-type two-centre matrix elements of the one-electron dipolar coupling operator between Slater atomic orbitals. The method used is of wide applicability. The matrix elements of interest are written in terms of a generalized form of overlap integral. The overlap integrals are evaluated using the convolution theorem/contour integration technique. Computational results are discussed and times given. © 1979 Taylor & Francis Ltd.
引用
收藏
页码:1147 / 1164
页数:18
相关论文
共 45 条
[31]   EFFICIENT COMPUTATION OF ONE-ELECTRON 2-CENTER EXCHANGE INTEGRALS IN ION-ATOM COLLISIONS [J].
MSEZANE, A .
CANADIAN JOURNAL OF PHYSICS, 1976, 54 (09) :944-949
[32]   Calculation of the one-electron two-center integrals over Slater-type orbitals by means of the ellipsoidal coordinates method [J].
Mekelleche, SM ;
BabaAhmed, A .
INTERNATIONAL JOURNAL OF QUANTUM CHEMISTRY, 1997, 63 (04) :843-852
[34]   ANALYTICAL EVALUATION OF ONE-CENTER AND 2-CENTER SPIN-SPIN NUCLEAR ATTRACTION INTEGRALS OVER SLATER-TYPE ORBITALS [J].
GUSEINOV, II ;
IMAMOV, EM .
JOURNAL OF PHYSICS B-ATOMIC MOLECULAR AND OPTICAL PHYSICS, 1978, 11 (15) :L475-L478
[35]   CALCULATION OF 2-CENTER ONE-ELECTRON MOLECULAR INTEGRALS WITH STOS (VOL 64, PG 329, 1991) [J].
RICO, JF ;
LOPEZ, R ;
PANIAGUA, M ;
RAMIREZ, G .
COMPUTER PHYSICS COMMUNICATIONS, 1994, 82 (2-3) :306-307
[36]   EVALUATION OF 2-CENTER, 2-ELECTRON AND 3-ELECTRON INTEGRALS INVOLVING CORRELATION FACTORS OVER SLATER-TYPE ORBITALS .2. KINETIC AND POTENTIAL-ENERGY INTEGRALS AND EXAMPLES OF NUMERICAL RESULTS [J].
BUDZINSKI, J ;
FIRSZT, M ;
WOZNICKI, W .
INTERNATIONAL JOURNAL OF QUANTUM CHEMISTRY, 1992, 41 (02) :359-370
[37]   NOTE ON A BESK PROGRAMME FOR MOLECULAR ONE-ELECTRON 2-CENTER INTEGRALS AND SOME DIAGRAMS SHOWING THE DEPENDENCE OF THESE INTEGRALS ON THE ORBITAL EXPONENTS [J].
FLODMARK, S .
ARKIV FOR FYSIK, 1960, 17 (01) :81-88
[38]   Unified treatment for two-center one-electron molecular integrals over slater type orbitals with integer and noninteger principal quantum numbers [J].
Özdogan, T .
ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 2004, 59 (11) :743-749
[39]   APPLICATION OF LAGUERRE-POLYNOMIALS FOR EVALUATION OF 2-CENTER, 2-ELECTRON, 3-ELECTRON AND 4-ELECTRON INTEGRALS IN THE BASIS OF SLATER-TYPE ORBITALS [J].
BUDZINSKI, J ;
FIRSZT, M ;
WOZNICKI, W .
ACTA PHYSICA POLONICA A, 1990, 78 (06) :841-854
[40]   STUDY OF 2-CENTER INTEGRALS USEFUL IN CALCULATIONS ON MOLECULAR STRUCTURE .3. UNIFIED TREATMENT OF THE HYBRID, COULOMB, AND ONE-ELECTRON INTEGRALS [J].
RUEDENBERG, K ;
ROOTHAAN, CCJ ;
JAUNZEMIS, W .
JOURNAL OF CHEMICAL PHYSICS, 1956, 24 (02) :201-220