Approximation of the McCumber-Sturge equation for the photoluminescence bandshift at low temperatures
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2022
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© 2022 Elsevier B. V.
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Temperature-induced bandshift of luminescence peaks is frequently described with McCumber-Sturge relation which is difficult for fitting or practical applications due to its mathematical complexity. Here for the first time, we give its exact solution in terms of polylogarithms, and an excellent approximation that is better at lower temperatures than the approximation by Walsh and Di Bartolo (WB). The novel approximation is analytically compared with that of WB, clearly giving the preferred temperature and Debye temperature ranges for each approximation. Three additional approximations are given, each with lowered complexity, until the equivalent quadratic form of Magomedov's approximation is reached. All approximations are compared for their complexity vs applicable temperature range. © 2022 Elsevier B.V.
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Bandshift / Debye / Line-shift / McCumber-Sturge / TemperatureSource:
Chemical Physics Letters, 2022, 795, 139528-Funding / projects:
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VinčaTY - JOUR AU - Ćirić, Aleksandar AU - Dramićanin, Miroslav PY - 2022 UR - https://vinar.vin.bg.ac.rs/handle/123456789/10195 AB - Temperature-induced bandshift of luminescence peaks is frequently described with McCumber-Sturge relation which is difficult for fitting or practical applications due to its mathematical complexity. Here for the first time, we give its exact solution in terms of polylogarithms, and an excellent approximation that is better at lower temperatures than the approximation by Walsh and Di Bartolo (WB). The novel approximation is analytically compared with that of WB, clearly giving the preferred temperature and Debye temperature ranges for each approximation. Three additional approximations are given, each with lowered complexity, until the equivalent quadratic form of Magomedov's approximation is reached. All approximations are compared for their complexity vs applicable temperature range. © 2022 Elsevier B.V. T2 - Chemical Physics Letters T1 - Approximation of the McCumber-Sturge equation for the photoluminescence bandshift at low temperatures VL - 795 SP - 139528 DO - 10.1016/j.cplett.2022.139528 ER -
@article{ author = "Ćirić, Aleksandar and Dramićanin, Miroslav", year = "2022", abstract = "Temperature-induced bandshift of luminescence peaks is frequently described with McCumber-Sturge relation which is difficult for fitting or practical applications due to its mathematical complexity. Here for the first time, we give its exact solution in terms of polylogarithms, and an excellent approximation that is better at lower temperatures than the approximation by Walsh and Di Bartolo (WB). The novel approximation is analytically compared with that of WB, clearly giving the preferred temperature and Debye temperature ranges for each approximation. Three additional approximations are given, each with lowered complexity, until the equivalent quadratic form of Magomedov's approximation is reached. All approximations are compared for their complexity vs applicable temperature range. © 2022 Elsevier B.V.", journal = "Chemical Physics Letters", title = "Approximation of the McCumber-Sturge equation for the photoluminescence bandshift at low temperatures", volume = "795", pages = "139528", doi = "10.1016/j.cplett.2022.139528" }
Ćirić, A.,& Dramićanin, M.. (2022). Approximation of the McCumber-Sturge equation for the photoluminescence bandshift at low temperatures. in Chemical Physics Letters, 795, 139528. https://doi.org/10.1016/j.cplett.2022.139528
Ćirić A, Dramićanin M. Approximation of the McCumber-Sturge equation for the photoluminescence bandshift at low temperatures. in Chemical Physics Letters. 2022;795:139528. doi:10.1016/j.cplett.2022.139528 .
Ćirić, Aleksandar, Dramićanin, Miroslav, "Approximation of the McCumber-Sturge equation for the photoluminescence bandshift at low temperatures" in Chemical Physics Letters, 795 (2022):139528, https://doi.org/10.1016/j.cplett.2022.139528 . .