The emission energies and lifetimes of the F-center

Gilbert, Robert L.

doi:10.1016/0375-9601(67)90711-6

Physics Letters A

1967

DOI: 10.1016/0375-9601(67)90711-6

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The emission energies and lifetimes of the F-center

Robert L. Gilbert¹

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1968

1969

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Cited by 4 publications

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Empirical Relationships for the Emission Energies and Lifetimes of the F‐Center

Gilbert

1968

Physica Status Solidi (b)

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Empirical relations for the emission energies E of the F-center in the Na, K, Rb, and Cs halides, and for the lifetimes T have been established with the following forms:where KO is the optical dielectric constant. Two different relations appear to exist for r. One follows from measurements of z a t liquid helium temperature, the other follows from t extrapolated from measurements above liquid nitrogen temperature with the SwankBrown curve. The implications of the existence of these curves are discussed. Dabei ist KO die optische Dielektrizitiitskonstante. Es scheinen zwei verschiedene Beziehungen fur T zu bestehen: Die eine ergibt sich aus Messungen bei der Temperatur des flussigen Heliums, die andere gilt fur die Werte von t, die man aus den bei der Temperatur des flussigen Stickstoffs und dariiber gemessenen Werten durch Extrapolation der SwankBrown-Kurven erhiilt. Eine Interpretation der gefundenen Beziehungen wird versucht. Zwischen den Emissionsenergien

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Empirical Relationships for the Emission Energies and Lifetimes of the F‐Center

Gilbert

1968

Physica Status Solidi (b)

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Semiempirical approach to the problem of the radiative lifetime of the excited F‐color center

Berezin¹

1969

Int J of Quantum Chemistry

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AbstractsIt is emphasized that for the theoretical consideration of many problems of defect centers in crystals (especially of problems which need the correct asymptotic behavior of the wave functions) the semiempirical approach can be effective. As an example the spontaneous radiative time decay of the excited F-center in alkali halides is calculated by using the experimental energies of absorption and emission bands. Die halbempirische Methode ist fur die theoretische Behandlung der Farbzentren in Kristallen sehr geeignet, besonders wenn man das richtige asymptotische Verhalten der Wellenfunktionen braucht. Als Beispiel wurde der spontane Strahlungszerfall des angeregten F-Zentrums in Alkalihalogeniden als Funktion der Zeit mit den Experimentalenergien der Absorptions-und Emissionsbanden berechnet.T h e difficulties of a purely theoretical approach to the approximate solution of the wave equation for a molecular system lead in quantum chemistry to the development of semiempirical methods which in many cases prove to be of a considerable value. I n solid state theory the quantum mechanical problems are still more complicated and in some problems (e.g. in many problems of crystal defects) the semiempirical approach seems at present to be the only one possible. 'The results obtained by such simple semiempirical consideration, besides their immediate interest, could be useful for the further development of purely theoretical methods.

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A self-consistent F-center calculation for the optical absorption and emission

Gilbert

Markham

1969

Journal of Physics and Chemistry of Solids

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The emission energies and lifetimes of the F-center

Cited by 4 publications

References 8 publications

Empirical Relationships for the Emission Energies and Lifetimes of the F‐Center

Empirical Relationships for the Emission Energies and Lifetimes of the F‐Center

Semiempirical approach to the problem of the radiative lifetime of the excited F‐color center

A self-consistent F-center calculation for the optical absorption and emission

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