Relativistic many-body calculations of the energies of n = 4 states along the zinc isoelectronic sequence
نویسندگان
چکیده
Energies of the 44 even-parity and 40 odd-parity (4l4l) states of ions of the zinc isoelectronic sequence are determined through second order in relativistic many-body perturbation theory. Our calculations start from a Ni-like V (N−2) Dirac-Fock potential. Two alternative treatments of the Breit interaction are investigated. In the first approach, we omit Breit contributions to the Dirac-Fock potential and evaluate Coulomb and Breit-Coulomb corrections through second order perturbatively. This approach was used previously to evaluate energies of Be-, B-, Mg-, and Yb-like systems. In the second approach, we include both Coulomb and Breit contributions to the Breit-Dirac-Fock potential and then treat the residual Breit and Coulomb interactions perturbatively. Results obtained from the two approaches are compared and discussed. Theoretical excitation energies are compared with critically evaluated experimental data and with results from other recent calculations. Trends of excitation energies including splitting of triplet terms as functions of nuclear charge Z = 34–100 are illustrated graphically for some states. The resulting Z-dependence shows explicitly the effect of mixing of [4p + 4s4d], [4d + 4p4df ], and [4p4d + 4s4f ] configurations.
منابع مشابه
Electric-dipole, electric-quadrupole, magnetic-dipole, and magnetic-quadrupole transitions in the neon isoelectronic sequence
Excitation energies for 2l23l8 hole-particle states of Ne-like ions are determined to second order in relativistic many-body perturbation theory ~MBPT!. Reduced matrix elements, line strengths, and transition rates are calculated for electric-dipole (E1), magnetic-quadrupole (E2), magnetic-dipole (M1), and magneticquadrupole (M2) transitions in Ne-like ions with nuclear charges ranging from Z51...
متن کاملVariational Calculations for the Relativistic Interacting Fermion System at Finite Temperature: Application to Liquid 3He
In this paper, at first we have formulated the lowest order constrained variational method for the relativistic case of an interacting fermion system at finite temperature. Then we have used this formalism to calculate some thermodynamic properties of liquid in the relativistic regime. The results show that the difference between total energies of relativistic and non-relativistic cases of liqu...
متن کاملStatic electric dipole polarizabilities for isoelectronic sequences . II . Open - shell S states ,
We present static electric dipole polarizabilities αd(Z,N) from numerical nonrelativistic restricted Hartree-Fock (RHF) finite-field calculations for high-spin open-shell S states (L = 0) of atoms and isoelectronic ions with N ≤ 55 electrons. All these S states result from one or more half-filled shells. For eight isoelectronic sequences, those with N = 3, 7, 11, 15, 23, 29, 33 or 41 electrons ...
متن کاملRelativistic many-body calculations of excitation energies and oscillator strengths in Ni-like ions
Excitation energies for 3l-4l8 particle-hole states of Ni-like ions are determined to second order in relativistic many body perturbation theory. The calculations start from a closed-shell Dirac-Fock potential, and include second-order Coulomb and Breit-Coulomb interactions. Retarded electric-dipole matrix elements ~in length and velocity forms! are calculated in second order for transitions fr...
متن کامل2 3 Ju n 19 99 Relativistic many - body calculations of energy levels , hyperfine constants , electric - dipole matrix elements and static polarizabilities for alkali - metal atoms
Relativistic many-body calculations of energy levels, hyperfine constants, electric-dipole matrix elements and static polarizabilities for alkali-metal atoms. Abstract Removal energies and hyperfine constants of the lowest four ns, np 1/2 and np 3/2 states in Na, K, Rb and Cs are calculated; removal energies of the n=7–10 states and hyperfine constants of the n=7 and 8 states in Fr are also cal...
متن کامل