Convergence of Slater-Type Orbitals in Calculations of Basic Molecular Integrals

被引:1
作者
Akdemir, Selda [1 ]
机构
[1] Sinop Univ, Dept Sci Educ, Fac Educ, Sinop, Turkey
来源
IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE | 2018年 / 42卷 / A3期
关键词
Fourier transform method; Slater-type orbitals; Overlap integrals; Taylor expansions; EXPONENTIAL-TYPE ORBITALS; OVERLAP INTEGRALS; 2-CENTER INTEGRALS; COULOMB INTEGRALS; HYPERSPHERICAL HARMONICS; NUCLEAR ATTRACTION; QUANTUM-CHEMISTRY; B-FUNCTIONS; COMPUTATION; ALGORITHMS;
D O I
10.1007/s40995-017-0177-1
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
The relationship between real Slater-type orbitals with the distinct scaling constants is examined analytically via the Fourier transform method. The convergence of the formula that we have derived in terms of infinite sums of Slater-type orbitals is analyzed numerically. Subsequently, the analytical expression is applied to basic molecular integrals. Numerical calculations performed to demonstrate the accuracy of the obtained formulas are compared with results in the literature. Numerical results are also presented in tables.
引用
收藏
页码:1613 / 1621
页数:9
相关论文
共 47 条
[31]   Evaluation of two-center overlap and nuclear attraction integrals over Slater-type orbitals with integer and noninteger principal quantum numbers [J].
Özdogan, T ;
Orbay, M .
INTERNATIONAL JOURNAL OF QUANTUM CHEMISTRY, 2002, 87 (01) :15-22
[32]   Overlap integrals with respect to quantum numbers over Slater-type orbitals via the Fourier-transform method [J].
Öztekin, E .
INTERNATIONAL JOURNAL OF QUANTUM CHEMISTRY, 2004, 100 (02) :236-243
[33]   EVALUATION OF 2-CENTER INTEGRALS [J].
PROSSER, FP ;
BLANCHARD, CH .
JOURNAL OF CHEMICAL PHYSICS, 1962, 36 (04) :1112-&
[34]   Efficiency of the algorithms for the calculation of slater molecular integrals in polyatomic molecules [J].
Rico, JF ;
López, R ;
Ema, I ;
Ramírez, G .
JOURNAL OF COMPUTATIONAL CHEMISTRY, 2004, 25 (16) :1987-1994
[35]  
RICO JF, 1988, J COMPUT CHEM, V9, P790
[36]  
Rico JF, 1998, J COMPUT CHEM, V19, P1284, DOI 10.1002/(SICI)1096-987X(199808)19:11<1284::AID-JCC8>3.0.CO
[37]  
2-G
[38]  
Rico JF, 2001, INT J QUANTUM CHEM, V81, P16, DOI 10.1002/1097-461X(2001)81:1<16::AID-QUA5>3.0.CO
[39]  
2-A
[40]   Highly accurate numerical results for three-center nuclear attraction and two-electron Coulomb and exchange integrals over Slater-type functions [J].
Safouhi, H .
INTERNATIONAL JOURNAL OF QUANTUM CHEMISTRY, 2004, 100 (02) :172-183