Light Absorption by Impurity Centres and Urbach's Rule

Lubchenko, A. F.; Zushman, I. M.

doi:10.1002/pssb.19690320223

Cited by 9 publications

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“…(28), which is facilitated by keeping in mind that we are interested in large values of p (,..,.,S) and relatively much smaller values of n. 5. 23 However, it should be pointed out that an exponentially decreasing function will actually overestimate the high-energy tail. Peak heights have been adjusted to be the same.…”

Section: Snmentioning

confidence: 99%

Optical Spectra Line-Shape Representations and Broad Bands in Solids

Ritter

1970

The Journal of Chemical Physics

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Articles you may be interested inAn examination of facet formation during solid phase epitaxy of line-shaped amorphized regions in (001) and (011) Si Three methods of analyzing the temperature-dependent optical spectra line shape of a defect center are presented: a representation consisting of a convergent series of n-phonon distributions, a Fourier transform representation. and the moments of line shape. For each of these the calculations proceed from a one-phonon distribution, PI (E). which is proportional to the probability of a phonon of energy E being excited. The deriving model is that used for a configurational coordinate model with a removal of the limitation to a single one-phonon energy. Detailed comparisons are made between phonon-broadened line shapes for a defect center coupling to a distribution of phonon energies and CC model parameterizations of the line shapes. Results are that the CC model parameterizes very well the entire line shape for centers with a large Huang-Rhys 5 factor and the high-energy tail of narrow bands. Parameterization of the smooth tails of bands aids in the separation of overlapping bands. However, the CC parameters (5 and effective phonon energy) are not precisely the quantities implied by the CC model. E is excited when the defect undergoes a transition-see The deletion of bilinear and higher-order terms is called Ref. 2]. PlCE) might be calculated from a long-range the linear approximation. F, is a generalized force on order lattice-electron interaction potential,2,6,6 or from the jth mode that appears when there is an electronic a local defect model which predicts the coupling to the transition from I 1; to I 2; with the ions initially in their 3461 This article is copyrighted as indicated in the article. Reuse of AIP content is subject to the terms at: http://scitation.aip.org/termsconditions. Downloaded to IP: 129.120.242.61 On: Mon

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Section: Snmentioning

confidence: 99%

Optical Spectra Line-Shape Representations and Broad Bands in Solids

Ritter

1970

The Journal of Chemical Physics

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“…For the sake of simplicity, we shell assume that the system involving impurity centres has no local vibrations. The shape of the absorption band will then be defined by the expressions (10,12) To calculate (2), we shall take ).' = )L such that p w < 1, where w is the The second term in this expression defines a phonon-less line.…”

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confidence: 99%

Urbach's rule with the dispersion of frequencies

Lubchenko

Fishuk

1971

Physica Status Solidi (b)

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Institute of Theoretical Physics, Academy of Sciences of the Ukrainian SSR, Kiev Urbac h' s Rule with the Dispersion of Frequencies BY A. F. LUBCHENKO and I. I. FISHUK As is known, the shape of the long-wavelength edge of light absorption by localized excitations and excitons is well described by the formula Gj w 2kT ' d = Q ~t h -Consequently , i =-4 7 Q-%} . 1 B r e they ar ! This expression is analogous to formula (1); the temperature dependence of d is the same as in paper (13). The value of e is defined by the character of the fre-K14 physica status solidi (b) 48quency dispersion of w . SAn analogous expression defines, too, the shape of the short-wavelength e m i s sion edge (if the signis substituted for + before ( Q -3 )).

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