Energy levels for Be I calculated using a model potential and cores approximations
- 1 December 1976
- journal article
- Published by IOP Publishing in Journal of Physics B: Atomic and Molecular Physics
- Vol. 9 (17) , 2983-3000
- https://doi.org/10.1088/0022-3700/9/17/014
Abstract
A two-electron model Hamiltonian, used for Be I, includes a core polarization potential Vpol(1,2) which has asymptotic form Vpol approximately - alpha ((r1/r1 2)+(r2/r2 2))2 where alpha is the polarizability of Be III 1s1. Solutions are obtained using a frozen-cores method. Two approximations are considered: (a) uses an expansion with core states Be II 2s and 2p; (b) includes in addition a 3d core orbital with a parameter determined variationally. For the series 1S, 3S, 1P0, 3P0, 1D, 3D, 1F0 and 3F0, results are obtained for all bound states ( epsilon 1P, 3P, 1D0, 3D0 converging to Be II 2p, results are obtained for n<or=10 and for n= infinity . The calculated ionization energies are more accurate than those obtained in previous theoretical work.Keywords
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