Isotope shifts of the 1s{sup 2}2s{sup 2}({sup 1}S{sub 0}) {yields} 1s{sup 2}2p{sup 2}({sup 1}S{sub 0}) transition in the doubly ionized carbon ion C{sup 2+}
- Department of Physics and Astronomy, Vanderbilt University, Nashville, Tennessee 37235 (United States)
- Quantum Chemistry Group, Faculty of Chemistry, A. Mickiewicz University, ulica GrunwaPldzka 6, PL-60-780 Poznan (Poland)
- Institute of Physics, Nicholas Copernicus University, ulica GrudziaPdzka 5, PL-87-100 Torun (Poland)
- Department of Chemistry and Biochemistry, University of Arizona, Tucson, Arizona 85721 (United States)
Highly accurate quantum mechanical calculations are performed for the 1s{sup 2}2s{sup 2} ({sup 1}S{sub 0}) {yields} 1s{sup 2}2p{sup 2} ({sup 1}S{sub 0}) transition energy in the isotopomers of C{sup 2+} ion to determine the isotope shifts. Explicitly correlated Gaussian functions and a variational approach that explicitly includes the nuclear motion are employed in the calculations. The leading relativistic and quantum electrodynamics corrections to the transition energy are also calculated using the perturbation theory with the nonrelativistic wave function as the zero-order approximation. It is determined that the {sup 12}C{sup 2+} transitions energy, which is obtained from the calculations to be 182 519.031 cm{sup -1} (vs the experimental value of 182 519.88 cm{sup -1}, an excellent sub-wave-number agreement) up-shifts by 1.755 cm{sup -1} for {sup 13}C{sup 2+} and by additional 1.498 cm{sup -1} for {sup 14}C{sup 2+}. Those shifts are sufficiently large to be measured experimentally.
- OSTI ID:
- 21408816
- Journal Information:
- Physical Review. A, Vol. 81, Issue 5; Other Information: DOI: 10.1103/PhysRevA.81.052504; (c) 2010 The American Physical Society; ISSN 1050-2947
- Country of Publication:
- United States
- Language:
- English
Similar Records
Regular series of doubly excited states inside two-electron continua: Application to 2s{sup 2}-hole states in neon above the Ne{sup 2+} 1s{sup 2}2s{sup 2}2p{sup 4} and 1s{sup 2}2s2p{sup 5} thresholds
Zeeman splitting and g factor of the 1s{sup 2}2s{sup 2}2p {sup 2}P{sub 3/2} and {sup 2}P{sub 1/2} levels in Ar{sup 13+}
Related Subjects
APPROXIMATIONS
CARBON IONS
CORRECTIONS
GAUSS FUNCTION
PERTURBATION THEORY
QUANTUM ELECTRODYNAMICS
QUANTUM MECHANICS
RELATIVISTIC RANGE
SPECTRAL SHIFT
VARIATIONAL METHODS
WAVE FUNCTIONS
CALCULATION METHODS
CHARGED PARTICLES
ELECTRODYNAMICS
ENERGY RANGE
FIELD THEORIES
FUNCTIONS
IONS
MECHANICS
QUANTUM FIELD THEORY