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15
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84927325494
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In this particular reaction, the two DB's must be an intimate pair. Allowing them to diffuse away from the broken WB and stabilize at other positions in the network requires the involvement of additional bonds, with associated reactions such as Si - Si + WB \(a7 D1+ D2 or Si - H + WB \(a7 D1+ D2. The first reaction requires massive structural reconfigurations by floating bonds, the second, more realistic, reaction is discussed in Appendix A.
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17
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84927325493
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M. Lannoo and J. Bourgoin, in Point Defects in Semiconductors I, edited by M. Cardona, P. Fulde, and H.-J. Queisser, Springer Series in Solid State Sciences Vol. 22 (Springer, Berlin, 1981), p. 195.
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18
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84927325492
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To be formally correct in the expression for the entropy Δ S, the effective density of states Nc should be multiplied by the volume considered. In that case, by doing the same for the densities of electrons, WB's, and DB's in Eq. (11), the solution Eq. (14) will not be affected.
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31
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84927325491
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edited by, E. A. Schiff, M. J. Thompson, A. Madan, K. Tanaka, P. G. LeComber, MRS Symposia Proceedings No. 297, Materials Research Society, Pittsburgh
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(1993)
Amorphous Silicon Technology-1993
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Brandt, M.S.1
Asano, A.2
Stutzmann, M.3
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36
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84927325490
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A. H. Mahan and M. Vanecek, in Amorphous Silicon Materials and Solar Cells, edited by Byron L. Stafford, AIP Conf. Proc. No. 234 (AIP, New York, 1991), p. 195.
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51
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84927325489
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G. Schumm, C.-D. Abel, and G. H. Bauer, in Amorphous Silicon Technology-1992, edited by M. J. Thompson, Y. Hamakawa, P. G. LeComber, A. Madan, and E. A. Schiff, MRS Symposia Proceedings No. 258 (Materials Research Society, Pittsburgh, 1992), p. 505.
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53
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84927325488
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Equation (A5) and the resulting prefactor γi are very similar to an expression recently obtained by an equivalent approach using a generalized defect chemical potential (Ref. 12). Deane and Powell suggested that the correct treatment of the equilibrium reactions would be to assume identical energy positions for the pair of formed DB's, in which case Eq. (A5) would reduce to a simpler form equivalent to their Eq. (10). They claim the use of statistical independent energy positions E1 and E2, as we have done, would apply only for intimately coupled pairs of defects. This is not the case. It applies in general to all defects that are producd in pairs at independent energy positions, because detailed balance requires the equilibration between each subset of DB's at E1, DB's at E2, and WB's at Et, independent of whether the two DB's formed can diffuse apart. It can be shown that only a reaction where the two DB's are produced by breaking two independent WB's (most simple case: WB1+ WB2\(a7 D1+ D2) may be reduced to the simple form of Ref. 12. Such a reaction may apply for a global equilibration between all WB's and DB's, but not for a more localized equilibration where DB's are not likely to diffuse over large distances (more than the average spacing of app 30 nm between DB's). In any case, both approaches yield qualitatively similar results, with only minor quantitative differences regarding the spectral shape and total defect density.
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