Hyperfine-structure interactions: preliminary results

1988 ◽  
Vol 66 (7) ◽  
pp. 583-585
Author(s):  
Emilio San-Fabian ◽  
Serafin Fraga
Keyword(s):  
Experimental Data ◽  
Fine Structure ◽  
Hyperfine Structure ◽  
Electrostatic Interaction ◽  
Configuration Interaction ◽  
Energy Levels ◽  
Hamiltonian Operator ◽  
Specific Mass ◽  
Mass Correction ◽  
Interaction Treatment

Hyperfine-structure splittings have been evaluated for the SL ground states of some chosen atoms (11B, 11C, 13C, 14N, 17O, 19F, and 27Al) using a program developed at this laboratory. The program predicts the energy levels of many-electron atoms within the framework of a configuration-interaction treatment, using a Hamiltonian operator that includes the electrostatic interaction, the specific-mass correction, the SL nonsplitting terms, the fine-structure couplings, and the hyperfine-structure interactions. The agreement with experimental data is satisfactory.

Study on the Absorption Spectra of Ga2Se3:Co2+ Single Crystals

2009 ◽  
Vol 64 (12) ◽  
pp. 834-836
Author(s):  
Chao Ni ◽  
Yi Huang ◽  
Maolu Du
Keyword(s):  
Experimental Data ◽  
Fine Structure ◽  
Bond Length ◽  
Single Crystals ◽  
Crystal Field ◽  
Energy Levels ◽  
Crystal Field Parameter ◽  
Spin Orbit Coupling ◽  
Spin Orbit ◽  
Cubic Crystal

Introducing the average covalent factor N and considering the interaction of the cubic crystal field, the spin-orbit coupling and Tree’s correction effects, the crystal field parameter Dq was calculated. Also the varying tendency of Dq with the bond length R was investigated. Using the complete diagonalizing method the energy levels of the fine structure of Ga2Se3:Co2+ single crystal were calculated and assigned. The calculated and assigned results are consistent with the experimental data

The Hydrogen Atom and Positronium

2019 ◽  
pp. 43-54
Author(s):  
Michael E. Peskin
Keyword(s):  
Fine Structure ◽  
Hydrogen Atom ◽  
Hyperfine Structure ◽  
Energy Levels ◽  
Bound State ◽  
Electron Positron

This chapter discusses the physics of the hydrogen atom and the electron-positron bound state positronium. It describes the energy levels of these atoms, including the fine structure and hyperfine structure. It discusses the lifetimes of the two species of positronium.

Large-scale CIV3 calculations of fine-structure energy levels and radiative rates in Al-like copper

2009 ◽  
Vol 87 (8) ◽  
pp. 895-907 ◽  
Author(s):  
G. P. Gupta ◽  
A. Z. Msezane
Keyword(s):  
Fine Structure ◽  
Configuration Interaction ◽  
Large Scale ◽  
Radiative Decay ◽  
Energy Levels ◽  
Decay Rates ◽  
Experimental Results ◽  
Oscillator Strengths ◽  
Correct Identification ◽  
Excitation Energies

We have performed large-scale CIV3 calculations of excitation energies from the ground state for 97 fine-structure levels as well as of oscillator strengths and radiative decay rates for all electric-dipole-allowed and intercombination transitions among the fine-structure levels of the terms belonging to the (1s22s22p6)3s23p, 3s3p2, 3s23d, 3p3, 3s3p3d, 3p23d, 3s3d2, 3s24s, 3s24p, 3s24d, 3s24f, and 3s3p4s configurations of Cu XVII. These states are represented by very extensive configuration-interaction (CI) wave functions obtained with the CIV3 (Configuration-Interaction Version 3) computer code of Hibbert. The important relativistic effects in intermediate coupling are incorporated by means of the Breit–Pauli Hamiltonian, which consists of the nonrelativistic term plus the one-body mass correction, Darwin term, and spin–orbit, spin–other-orbit, and spin–spin operators. To keep our calculated energy splittings as close as possible to the experimental values (wherever available), we have made small adjustments to the diagonal elements of the Hamiltonian matrices. Our calculated excitation energies, including their ordering, are in excellent agreement with the available experimental results. From our radiative decay rates we have also calculated radiative lifetimes of some fine-structure levels. The mixing among several fine-structure levels is found to be so strong that the correct identification of these levels becomes very difficult. We believe that our extensive calculations will be useful to experimentalists in identifying the fine-structure levels in their future work. In this calculation we also predict new data for several fine-structure levels where no other theoretical and (or) experimental results are available.

Spin-dependent and Coriolis interactions by an improved configuration interaction treatment: predissociation of excited fine structure levels of OH/OD

2000 ◽  
Vol 98 (21) ◽  
pp. 1713-1727 ◽  
Author(s):  
Maria Pilar De Lara Castells ◽  
Alexander O. Mitrushenkov ◽  
Paolo Palmieri ◽  
Frèdèric Le Quèrè ◽  
Cèline Leonard ◽  
...  
Keyword(s):  
Fine Structure ◽  
Configuration Interaction ◽  
Interaction Treatment

Effects of configuration interaction on atomic hyperfine structure

1971 ◽  
Vol 322 (1550) ◽  
pp. 361-376 ◽  
Keyword(s):  
Experimental Data ◽  
Perturbation Theory ◽  
Hyperfine Structure ◽  
Configuration Interaction ◽  
Closed Shell ◽  
Order Perturbation ◽  
Detailed Knowledge ◽  
Shell Electron ◽  
Closed Shells ◽  
Second Order Perturbation Theory

The effects of configuration interaction on hyperfine structure (h. f. s.) are considered using second-order perturbation theory. Within a given LS term, these are represented by multiplying the radial quantity < r -3 >, for each of the three orbit-dependent parts of the h.f.s. hamiltonian, by a different factor (1 + Δ). The analysis is limited to those configurations in which the only electrons not in closed shells are those of the type ( nl ) N . We treat separately the excitation of (1) a closed-shell electron into an unoccupied shell n 'l'; (2) an electron nl into an unoccupied shell n 'l' ; and (3) a closed-shell electron into the occupied shell nl . Effective operators are introduced. In cases (2) and (3), where the quantities Δ l , Δ s C , and Δ q (corresponding to the three parts of the h. f. s. hamiltonian) depend on the LS term under study, some tables are given (for d N and f N ). Because of a remarkable structure that these tables possess, it is possible to make predictions concerning the effects of configuration interaction on the three parts of the effective h. f. s. hamiltonian without requiring a detailed knowledge of radial integrals. Results consistent with the experimental data for the 3d shell are obtained. The effects of departures from perfect LS coupling are discussed.

Energy Levels and Electromagnetic Transition of 90-94mo Nuclei Using Ibm-1

2020 ◽  
pp. 149-152
Keyword(s):  
Experimental Data ◽  
Transition Probability ◽  
Energy Levels ◽  
Dynamical Symmetry ◽  
Interacting Boson Model ◽  
Excitation Energies ◽  
Electromagnetic Transition ◽  
Boson Model ◽  
Energy States ◽  
Good Agreement

The energy states for the J , b , ɤ bands and electromagnetic transitions B (E2) values for even – even molybdenum 90 – 94 Mo nuclei are calculated in the present work of "the interacting boson model (IBM-1)" . The parameters of the equation of IBM-1 Hamiltonian are determined which yield the best excellent suit the experimental energy states . The positive parity of energy states are obtained by using IBS1. for program for even 90 – 94 Mo isotopes with bosons number 5 , 4 and 5 respectively. The" reduced transition probability B(E2)" of these neuclei are calculated and compared with the experimental data . The ratio of the excitation energies of the 41+ to 21+ states ( R4/2) are also calculated . The calculated and experimental (R4/2) values showed that the 90 – 94 Mo nuclei have the vibrational dynamical symmetry U(5). Good agreement was found from comparison between the calculated energy states and electric quadruple probabilities B(E2) transition of the 90–94Mo isotopes with the experimental data .

scholarly journals The ultra-violet spectrum of magnesium hydride. 1.—The band at λ 2430

1929 ◽  
Vol 122 (790) ◽  
pp. 442-455 ◽  
Keyword(s):  
Fine Structure ◽  
General Structure ◽  
Energy Levels ◽  
Visible Region ◽  
Ultra Violet ◽  
Present Theory ◽  
Magnesium Hydride ◽  
Electronic Energy ◽  
Band Spectra ◽  
Electronic Energy Levels

The system of bands in the visible region of the emission spectrum of magnesium hydride is now well known. The bands with heads at λλ 5622, 5211, 4845 were first measured by Prof. A. Fowler, who arranged many of the strongest lines in empirical series for identification with absorption lines in the spectra of sun-spots. Later, Heurlinger rearranged these series in the now familiar form of P, Q and R branches, and considered them, with the OH group, as typical of doublet systems in his classification of the fine structure of bands. More recently, W. W. Watson and P. Rudnick have remeasured these bands, using the second order of a 21-foot concave grating, and have carried out a further investigation of the fine structure in the light of the present theory of band spectra. Their detection of an isotope effect of the right order of magnitude, considered with the general structure of the system, and the experimental work on the production of the spectrum, seems conclusive in assigning these bands to the diatomic molecule MgH. The ultra-violet spectrum of magnesium hydride is not so well known. The band at λ 2430 and the series of double lines in the region λ 2940 to λ 3100, which were recorded by Prof. Fowler in 1909 as accompanying the group of bands in the visible region, appear to have undergone no further investigation. In view of the important part played by hydride band spectra in the correlation of molecular and atomic electronic energy levels, it was thought that a study of these features might prove of interest in yielding further information on the energy states of the MgH molecule. The present paper deals with observations on the band at λ 2430; details of an investigation of the other features of the ultra-violet spectrum will be given in a later communication.

Morphology and Topology of Coherent Scattering Regions of the Fe-Mn-C Steel Fine Structure

2015 ◽  
Vol 1085 ◽  
pp. 84-90
Author(s):  
Anna P. Zykova ◽  
Irina Kurzina ◽  
Mihail Yu. Novomejsky ◽  
Yuriy D. Novomejsky
Keyword(s):  
Fine Structure ◽  
Hyperfine Structure ◽  
Coherent Scattering ◽  
Technological Properties ◽  
Material Microstructure ◽  
And Topology ◽  
Interaction Of Components ◽  
Physical And Chemical ◽  
Comprehensive Study

The interaction of components in modifying mixtures with the elements of Fe-Mn-С alloys hyperfine structure is investigated. Comprehensive study of the modified material microstructure is conducted. The substructure of Fe-Mn-С alloys is shown to undergo significant changes. The produced castings are characterized with enhanced physical-and-chemical and technological properties

Hyperfine-structure studies of Nb ii: Experimental and relativistic configuration-interaction results

1995 ◽  
Vol 51 (5) ◽  
pp. 3534-3540 ◽  
Author(s):  
L. Young ◽  
S. Hasegawa ◽  
C. Kurtz ◽  
Debasis Datta ◽  
Donald R. Beck
Keyword(s):  
Hyperfine Structure ◽  
Configuration Interaction ◽  
Relativistic Configuration ◽  
Relativistic Configuration Interaction
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