GROUND-STATE ENERGIES FOR THE HELIUM ISOELECTRONIC SERIES

被引:94
作者
THAKKAR, AJ [1 ]
KOGA, T [1 ]
机构
[1] MURORAN INST TECHNOL, DEPT APPL CHEM, MURORAN, HOKKAIDO 050, JAPAN
来源
PHYSICAL REVIEW A | 1994年 / 50卷 / 01期
关键词
D O I
10.1103/PhysRevA.50.854
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
Variational calculations are reported for the ground state of the helium isoelectronic series. An ansatz is introduced and it achieves an accuracy comparable to that hitherto achieved only with basis functions containing logarithmic terms. Energies accurate to better than one part in 10(14) are obtained for the ground states of He through Ne8+ using 308-term expansions, and the ground state of H- using 455 terms.
引用
收藏
页码:854 / 856
页数:3
相关论文
共 13 条
[1]   RADIUS OF CONVERGENCE AND ANALYTIC BEHAVIOR OF THE 1/Z EXPANSION [J].
BAKER, JD ;
FREUND, DE ;
HILL, RN ;
MORGAN, JD .
PHYSICAL REVIEW A, 1990, 41 (03) :1247-1273
[3]   LOGARITHMIC TERMS IN WAVE FUNCTIONS OF GROUND STATE OF 2-ELECTRON ATOMS [J].
FRANKOWSKI, K ;
PEKERIS, CL .
PHYSICAL REVIEW, 1966, 146 (01) :46-+
[4]   VARIATIONAL CALCULATIONS ON THE HELIUM ISOELECTRONIC SEQUENCE [J].
FREUND, DE ;
HUXTABLE, BD ;
MORGAN, JD .
PHYSICAL REVIEW A, 1984, 29 (02) :980-982
[5]   New Calculation of the Energy of Helium in the Ground-State, and the deepest Terms of Ortho-Helium [J].
Hylleraas, Egil A. .
ZEITSCHRIFT FUR PHYSIK, 1929, 54 (5-6) :347-366
[6]   About the ground state of the helium atom [J].
Hylleraas, Egil A. .
ZEITSCHRIFT FUR PHYSIK, 1928, 48 (7-8) :469-494
[7]   GROUND STATE OF THE HELIUM ATOM [J].
KINOSHITA, T .
PHYSICAL REVIEW, 1957, 105 (05) :1490-1502
[8]   ACCURATE ALGEBRAIC DENSITIES AND INTRACULES FOR HELIUM-LIKE IONS [J].
KOGA, T ;
KASAI, Y ;
THAKKAR, AJ .
INTERNATIONAL JOURNAL OF QUANTUM CHEMISTRY, 1993, 46 (06) :689-699
[9]  
MIDTDAL J, 1966, PHYS MATH, V2
[10]   GROUND STATE OF HELIUM ATOM [J].
SCHWARTZ, C .
PHYSICAL REVIEW, 1962, 128 (03) :1146-&