(1s1s) 1 S Z= 4 Be 2+
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 | 3.0462 | 1s | 4.2756 | 0.7311344033533003E+00 |
2 | 1s | 4.3147 | 4s | 29.5589 | 0.4233268195415608E-02 |
3 | 1s | 6.1610 | 2s | 8.7314 | -0.2428097353536311E-01 |
4 | 2s | 33.6701 | 4s | 33.2781 | 0.2222648586194033E-02 |
5 | 1s | 5.4443 | 3s | 10.4077 | -0.1374532678304205E-01 |
6 | 1s | 4.3454 | 2s | 11.5779 | 0.3117557095898472E-01 |
7 | 2s | 23.5640 | 3s | 15.7787 | -0.2463922939300622E-02 |
8 | 3s | 34.2939 | 4s | 28.9063 | -0.4160154755080278E-02 |
9 | 4s | 40.5363 | 5s | 41.6952 | -0.1286796549901809E-02 |
10 | 2p | 9.9029 | 2p | 9.9029 | 0.3680530586480514E-01 |
11 | 2p | 20.6403 | 3p | 20.9402 | 0.6126906300100657E-02 |
12 | 4p | 29.9491 | 4p | 29.9491 | 0.2529725035602419E-02 |
13 | 2p | 11.8033 | 4p | 26.8420 | -0.4013927874409618E-02 |
14 | 3p | 52.1254 | 4p | 50.7207 | 0.6287755868838382E-03 |
15 | 3d | 26.1122 | 3d | 26.1122 | -0.5922188667161732E-02 |
16 | 4d | 40.1011 | 4d | 40.1011 | -0.2734442668541343E-02 |
17 | 5d | 55.4245 | 5d | 55.4245 | -0.9870314445269554E-03 |
18 | 3d | 13.3837 | 5d | 36.4937 | -0.9870314445269554E-03 |
19 | 4f | 43.6333 | 4f | 43.6333 | 0.2266516650395231E-02 |
20 | 5f | 56.9726 | 5f | 56.9726 | 0.1125946981164082E-02 |
21 | 5g | 63.8382 | 5g | 63.8382 | -0.1060144884862285E-02 |
Energy= -13.65485194 a.u.
Table 2. 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 | 3.43071 | 0.89855 |
2 | 1s | 5.63150 | 0.09068 |
3 | 1s | 7.35143 | 0.02158 |
Energy= -13.6112970 a.u.
Table 3 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 |
0.90 | 0.45 |
Energy= -13.6535 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 ) + b ( r 1 - r 2 ) 2 ] [ 1 + 0.5 r 12 exp(- a r 12 ) ]
λ | a | b |
0.90 | 0.45 | 0.09 |
Energy= -13.6541 a.u.