期刊文献+

利用直接表达式快速计算SP型GTO电子排斥积分

Rapid calculation of the electron repulsion integral (ERI) over S-and P-type gaussian functions by using the explicit formulas
原文传递
导出
摘要 提出了一种快速计算SP型GTO电子排斥积分的方法。对1S型GTO电子排斥积分表达式的积分参数(各GTO中心坐标)进行多次求导,得到了SP型GTO电子排斥积分的全部256个直接表达式,并编写了这些表达式的C++程序。计算速度表明,利用我们提出的方法,计算速度是通常方法计算速度的近3倍。这将会减少研究项目的计算时间,降低计算机系统的运行费用。 A new method was presented to improve the speed for calculating the S-and P-type GTO electron repulsion integrals (E- RIs). Applying the method of doing the derivation over the integral parameters (the center coordinates of each GTO) of the explicit formulas of 1 S-type GTO ERI iteratively, we obtain all the 256 explicit formulas for the S-and P-type GTO ERIs and then make a C + + program over these formulas. The calculating speed shows that by the using present new method, it is about three times quicker than that of the usual method. It can make the time computing research project and expense running the computers system decrease.
出处 《计算机与应用化学》 CAS CSCD 北大核心 2007年第2期169-172,共4页 Computers and Applied Chemistry
基金 国家自然科学基金(30470469)
关键词 SP型GTO 电子排斥积分 直接表达式 分子自洽场 快速计算 S-and P-type GTO, electron repulsion integral (ERI), explicit formulas, molecular self-consistent field, rapid calculation
  • 相关文献

参考文献16

  • 1Pople JA and Beveridge DL. Approximate Molecular Orbital Theory.New York : McGraw-Hill, 1970:31 - 58.
  • 2Tang AQ. Quantum Chemistry. Beijing: Science Press, 1982:211 -258.
  • 3Xu GX, Li LM and Wu DM. Quantum Chemistry. Beijing:Science Press, 1999 : 794 - 866,584 - 588,591 - 592.
  • 4Yang ZZ, Yei YJ and Tang AQ. Quantum Chemistry about Large Molecular System. Changehun: Jilin University Press, 2005 : 157214.
  • 5Szabo A and Ostlund NS. Modern Quantum Chemistry: Introduction to Advanced Electronic Structure Theory. New York:McGraw-Hill,1989:154 - 158.
  • 6Boys SF. Electronic wavefunctions Ⅰ: A general method of calculation for stationary states of any molecular system. Proc Roy Soc, 1950, A200:542 - 554.
  • 7Frank EH. Gausian Wave Functions for Polyatomic Molecules. Reviews of Modern Physics, 1963, 35 (3) :558 - 569.
  • 8Michel D, John R and Harry FK. Evaluation of molecular integrals over ganssian basis functions. J Chem Phys, 1976, 65( 1 ) :4819 -4831.
  • 9Harris FE. Analytic evaluation of two-center STO electron repulsion integrals via ellipsoidal expansion. International Journal of Quantum Chemistry, 2002, 88:701 - 734.
  • 10Honda H, Yamaki T and Obara S. Molecular integrals evaluated over contracted gaussian functions by using auxiliary contracted hypergaussian functions. Journal of Chemical Physics, 2002, 117 : 1457 -1469.

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部