Relativistic Effective Interaction

Ma, Zhong‐Qi; Chen, Baoqiu

doi:10.1088/0253-6102/21/1/59

Cited by 21 publications

(65 citation statements)

References 7 publications

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“…For the first time, by taking into account all the levels and admixtures of wavefunctions with d 3 electronic configuration and all the TM in EPI, the unified theoretical calculation of TS of R 1 and R 2 lines, TS of GSZFS and TB of R, R' and B line-groups for ruby has successfully been accomplished in Refs [9], [10] and the present paper. The calculated results are in very good agreement with a lot of experimental data.…”

Section: Discussionmentioning

confidence: 99%

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Partial Cross Sections for Electron Impact Dissociation of CF₄ into Neutral Radicals

Nakano

Sugai

1992

Jpn. J. Appl. Phys.

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On the basis of the unified calculation of the thermal shifts of Ri line, R2 line and ground-state-splitting as weJJ as the thermal broadenings of R, R' and B line-groups for ruby, by taking into account all the levels and admixtures of wavefunctions within d electronic configuration and all the TM in electron-phonon interaction, the transition probabilities of direct and Raman processes have theoretically been calculated. The thermal broadenings of R, R' and B line-groups have successfully been interpreted in terms of the direct and Raman processes of acoustic phonons. The theoretically predicted transition probabilities are in good agreement with the experimental ones.

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Section: Discussionmentioning

confidence: 99%

“…In Ref. [12], by diagonalizing the complete energy matrix (DCEM) of d 3 electronic configuration in a trigonally distorted cubic-field, the electronic wavefunctions and energy spectrum of ruby were obtained, which have been applied throughout Refs [9] and [10] and this work. Moreover, in Ref.…”

Section: Tmmentioning

confidence: 99%

Partial Cross Sections for Electron Impact Dissociation of CF₄ into Neutral Radicals

Nakano

Sugai

1992

Jpn. J. Appl. Phys.

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“…Similar to Refs 15] and 17], using the wavefunctions obtained by DCEM, 16] we have calculated out the expressions of the uniaxial-stress-induced splittings of t 3 2 4 A 2 and t 3 2 2 E of MgO:V 2+ in terms of Y c , Z c , P c , and Q c . (7) and (8) With the values of Y c , Z c , P c , and Q c , we calculate R-line TS and TB of MgO:V 2+ as follows.…”

Section: Introductionmentioning

confidence: 99%

“…emphasizes that the sign of the quantity is exactly opposite to the de nition of sign of splitting given byRefs 18] and21] 17…”

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confidence: 96%

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Existence of a Solution of a Modification of a System of Equations of Magnetohydrodynamics

Samokhin¹

1992

Math. USSR Sb.

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A great improvement on a previous work (Phys. Rev. B48 (1993) 14067) has be e nmade. By taking into account all the irreducible representations and their components in the electron-phonon interaction (EPI) as well as all the levels and the admixtures of basic wavefunctions within d 3 electronic con guration, the values of all the parameters in the expressions of thermal shift (TS) and thermal broadening (TB) from EPI for the ground level, R level and R line of MgO:V 2+ have microscopically be e nevaluated and then, both the TS and TB of R line and various contributions to them have uniformly been calculated. The results are in very g oodagreement with the experimental data. It is found that all the three terms of TS from EPI are red shifts the term of the contribution to TS from thermal expansion is blue shift. The Raman term is the largest, and the other terms are also important for TS. The R-line TS of MgO:V 2+ comes from the rst-order term of EPI. The elastic Raman scattering of acoustic phonons plays a dominant role in R-line TB of MgO:V 2+ . For calculations of bo t hthe TS and TB, it is very important to take into account all the admixtures of wavefunctions.PACS numb e r s : 78.20.Nv, 71.70.Ch, 63.20.Mt, 63.20.Kr the new conclusions di erent from previous work will b e obtained.2 Various Contributions to TS from EPI An interaction system of local electronic states of a transition-metal ion and phonons of the lattice vibration is considered. Its Hamiltonian is

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Energy Spectrum and Its Pressure-Induced Shift and J-T Effect of ZnTe:Mn ²⁺

Chen

et al. 2000

Commun. Theor. Phys.

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By using strong-Geld scheme, the complete d 5 energy matrix with Did symmetry has been constructed. Then, by diagonalization of this matrix at normal and various pressures, the whole energy spectrum [including the ground-state zero-Geld splitting (GSZFS)] and its pressure-induced shift (PS) of ZnTe:Mn 2+ have uniformly been calculated. The results are in very good agreement with experimental data. According to the eigenfunctions and PS, the assignments of four absorption bands have been given. By taking into account the effect of different deformations of tt and e radial wavefunctions on tjC'Ai) e 2 ( 3 Aa) 4 Ai and ti( 2 E) e 2 ( 3 A2)*E, the position of the third absorption band at normal pressure has been estimated. The tetragonal Geld is important for GSZFS ofZnTe:Mn a+ and its PS, which supports the existence of tetragonal Jahn-Teller distortion in ZnTe:Mn 2+ . The physical essentials of typical levels, GSZFS and their PS have been revealed.

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Relativistic Effective Interaction

Cited by 21 publications

References 7 publications

Partial Cross Sections for Electron Impact Dissociation of CF₄ into Neutral Radicals

Partial Cross Sections for Electron Impact Dissociation of CF₄ into Neutral Radicals

Existence of a Solution of a Modification of a System of Equations of Magnetohydrodynamics

Energy Spectrum and Its Pressure-Induced Shift and J-T Effect of ZnTe:Mn ²⁺

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Relativistic Effective Interaction

Cited by 21 publications

References 7 publications

Partial Cross Sections for Electron Impact Dissociation of CF4 into Neutral Radicals

Partial Cross Sections for Electron Impact Dissociation of CF4 into Neutral Radicals

Existence of a Solution of a Modification of a System of Equations of Magnetohydrodynamics

Energy Spectrum and Its Pressure-Induced Shift and J-T Effect of ZnTe:Mn 2+

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Product

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Partial Cross Sections for Electron Impact Dissociation of CF₄ into Neutral Radicals

Partial Cross Sections for Electron Impact Dissociation of CF₄ into Neutral Radicals

Energy Spectrum and Its Pressure-Induced Shift and J-T Effect of ZnTe:Mn ²⁺