Energy levels for S, P, and D states in He through precision variational calculations

Journal Article · Mon Sep 01 04:00:00 EDT 1986 · Phys. Rev. A; (United States)

DOI:https://doi.org/10.1103/PhysRevA.34.1727· OSTI ID:5086242

Kono, A; Hattori, S

Nonrelativistic variational calculations with the relativistic correction to order ..cap alpha../sup 2/ have been carried out to obtain the energy levels for the n /sup 1,3/S, n /sup 1,3/P, and n/sup 1,3/D series in He up to n = 8. The calculated term values have converged generally to within an uncertainty of --10/sup -4/ cm/sup -1/, a value matching the accuracy of recent high-precision wavelength measurements. The results are combined with theoretical Lamb shifts and systematically compared with currently available high-precision experimental data. The consistency between theory and experiment is good, although for some low-lying (n = 3--6) S and P states there exist small discrepancies, presumably caused by the estimated Lamb shifts. The calculated term values for high-lying excited states have better accuracies than existing experimental data. Addition of the theoretical term values to the corresponding experimental excitation energies suggests a value of 198 310.7725(5) cm/sup -1/ for the ground-state ionization energy on the energy scale fixed by the 2/sup 1/P value of 171 135.0000 cm/sup -1/.

• Research Organization: Department of Electronics, Nagoya University, Nagoya 464, Japan
• OSTI ID: 5086242
• Journal Information: Phys. Rev. A; (United States), Journal Name: Phys. Rev. A; (United States) Vol. 34:3; ISSN PLRAA
• Country of Publication: United States
• Language: English

Related Subjects

640302* -- Atomic
Molecular & Chemical Physics-- Atomic & Molecular Properties & Theory
74 ATOMIC AND MOLECULAR PHYSICS
ACCURACY
ATOMS
D STATES
EIGENVALUES
ELECTRONIC STRUCTURE
ELEMENTS
ENERGY LEVELS
EVALUATION
FLUIDS
GASES
HELIUM
NONMETALS
P STATES
RARE GASES
S STATES
VARIATIONAL METHODS