(1s1s) 1 S Z= 2 He 0
Table 1. Novikov N.V. // Wave Function Value Database http://cdfe.sinp.msu.ru/services/wftables/
| j | R n1,l1 (α1,r) | R n2,l2 (α2,r) | g | ||
| n1 l1 | α1 | n2 l2 | α2 | ||
| 1 | 1s | 1.2528 | 1s | 2.0782 | 0.7545202014127903E+00 |
| 2 | 1s | 2.0046 | 4s | 13.5142 | 0.8488352265893891E-02 |
| 3 | 1s | 2.8406 | 2s | 4.0102 | -0.5611366737906922E-01 |
| 4 | 2s | 15.5968 | 4s | 15.4593 | 0.3953685855403021E-02 |
| 5 | 1s | 2.5633 | 3s | 4.5283 | -0.2050031387238551E-01 |
| 6 | 1s | 2.0000 | 2s | 5.2274 | 0.6537917545241828E-01 |
| 7 | 2s | 10.9398 | 3s | 7.2996 | -0.4678025248759299E-02 |
| 8 | 3s | 15.9107 | 4s | 13.4831 | -0.7499930802043135E-02 |
| 9 | 4s | 18.8723 | 5s | 19.6216 | -0.2240924998195987E-02 |
| 10 | 2p | 4.5487 | 2p | 4.5487 | 0.7090226332675990E-01 |
| 11 | 2p | 9.9790 | 3p | 8.7354 | 0.1121217019299406E-01 |
| 12 | 4p | 13.3926 | 4p | 13.3926 | 0.5998435601231683E-02 |
| 13 | 2p | 4.2541 | 4p | 12.7514 | -0.5417455046143834E-02 |
| 14 | 3p | 23.5973 | 4p | 22.8622 | 0.1312865150458255E-02 |
| 15 | 3d | 12.1700 | 3d | 12.1700 | -0.1072173206207575E-01 |
| 16 | 4d | 18.7485 | 4d | 18.7485 | -0.4957197723282032E-02 |
| 17 | 5d | 26.0128 | 5d | 26.0128 | -0.1727851261235290E-02 |
| 18 | 3d | 6.4375 | 5d | 17.0401 | -0.2007023735758022E-02 |
| 19 | 4f | 20.4645 | 4f | 20.4645 | 0.4006502269501916E-02 |
| 20 | 5f | 26.6703 | 5f | 26.6703 | 0.1991933331729767E-02 |
| 21 | 5g | 30.0567 | 5g | 30.0567 | -0.1856119695475464E-02 |
Energy= -2.90324625 a.u.
Table 2. Eckart C // Phys. Rev. 36, 878, (1930)
| j | R n1,l1 (α1,r) | R n2,l2 (α2,r) | g | ||
| n1 l1 | α1 | n2 l2 | α2 | ||
| 1 | 1s | 1.1900 | 1s | 2.1400 | 0.7505507517626432E+00 |
Energy= -2.87561133 a.u.
Table 3. Clementi E., Roetti C. // At. Data Nucl. Data Tables 14, 177, (1974)
Ψ( r 1 , r 2 ) = F( r 1 ) F( r 2 ) ; F( r ) = Σ j C j φ 1s ( α j , r )
| j | R n,l (α,r) | C | |
| n l | α | ||
| 1 | 1s | 1.45286 | 0.82958 |
| 2 | 1s | 2.77954 | 0.18334 |
| 3 | 1s | 4.34600 | 0.00824 |
Energy= -2.8616784 a.u.
Table 4 Sech C.L. // J.Phys B30, L47, (1997)
Ψ( r , L,M,S) = N exp(-Z r 1 ) exp(-Z r 2 ) [ cosh( λ r 1 ) + cosh( λ r 2 ) ] [ 1 + 0.5 r 12 exp(- a r 12 ) ]
| λ | a |
| 0.7 | 0.17 |
Energy= -2.9020 a.u.
Table 5 Sech C.L. // J.Phys B30, L47, (1997)
Ψ( r , L,M,S) = N exp(-Z r 1 ) exp(-Z r 2 ) [ cosh( λ r 1 ) + cosh( λ r 2 ) + b ( r 1 - r 2 ) 2 ] [ 1 + 0.5 r 12 exp(- a r 12 ) ]
| λ | a | b |
| 0.68 | 0.17 | 0.06 |
Energy= -2.9026 a.u.
Table 6 Hylleraas E.A. // Z.Physik 54, 347, (1929)
Ψ( r , L,M,S) = N exp(-Z s ) [ 1 + a 1 u + a 2 t 2 ]
s= r 1 + r 2 t= r 1 - r 2 u= r 12
| N | Z | a 1 | a 2 |
| 1.321350 | 1.816 | 0.30 | 0.13 |
Energy= -2.90244 a.u.
Table 7 Hylleraas E.A. // Z.Physik 54, 347, (1929)
Ψ( r , L,M,S) = N exp(-Z s ) [ 1 + a 1 u + a 2 t 2 + a 3 s + a 4 s 2 + a 5 u 2 ]
s= r 1 + r 2 t= r 1 - r 2 u= r 12
| N | Z | a 1 | a 2 | a 3 | a 4 | a 5 |
| 1.381890 | 1.818 | 0.353 | 0.128 | -0.101 | 0.033 | -0.032 |
Energy= -2.90324 a.u.
Table 8 Green L.C., Lewis M.N., M.M. Mulder et all // Phys. Rev. 93, 273, (1954)
Ψ( r , L,M,S) = N [ exp(-Z 1 r 1 -Z 2 r 2 ) + exp(-Z 2 r 1 -Z 1 r 2 ) ] [ 1 + α r 12 ]
| N | Z 1 | Z 2 | α |
| 0.675135 | 1.436 | 2.208 | 0.2924 |
Energy= -2.90142 a.u.
Table 9 Hart J.F., Herzberg G. // Phys. Rev. 106, 79, (1957)
Ψ( r , L,M,S) = N exp ( -0.5 ks) [ 1 + a 1 u + a 2 t 2 + a 3 s + a 4 s 2 + a 5 u 2 + a 6 su + a 7 t 2 u + a 8 u 3 + a 9 t 2 u 2 + a 10 t 2 s + a 11 s 3 + a 12 t 2 u 4 + a 13 u 4 + a 14 u 5 + a 15 t 2 u 3 + a 16 t 2 s 2 + a 17 s 4 + a 18 t 2 su + a 19 t 4 ]
s= r 1 + r 2 t= r 1 - r 2 u= r 12
| k | 3.87 |
| a 1 | 0.417070598 |
| a 2 | 0.208366354 |
| a 3 | -5.23482398e-3 |
| a 4 | 0.0490900245 |
| a 5 | -0.157224213 |
| a 6 | 0.0823275059 |
| a 7 | -0.125878664 |
| a 8 | 0.0476774784 |
| a 9 | 0.0407069233 |
| a 10 | 0.0319089519 |
| a 11 | -9.49744884e-3 |
| a 12 | 5.12301157e-4 |
| a 13 | -9.22964704e-3 |
| a 14 | 7.06572065e-4 |
| a 15 | -7.25137848e-3 |
| a 16 | 2.30342328e-3 |
| a 17 | 1.36645365e-3 |
| a 18 | 1.60548903e-3 |
| a 19 | 7.58736825-4 |
| N | 1.36686946 |
Energy= -2.9037179 a.u.