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Approximation of the McCumber-Sturge equation for the photoluminescence bandshift at low temperatures

Authorized Users Only
2022
Authors
Ćirić, Aleksandar
Dramićanin, Miroslav
Article (Published version)
,
© 2022 Elsevier B. V.
Metadata
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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.
Keywords:
Bandshift / Debye / Line-shift / McCumber-Sturge / Temperature
Source:
Chemical Physics Letters, 2022, 795, 139528-
Funding / projects:
  • Ministry of Education, Science and Technological Development, Republic of Serbia, Grant no. 200017 (University of Belgrade, Institute of Nuclear Sciences 'Vinča', Belgrade-Vinča) (RS-200017)

DOI: 10.1016/j.cplett.2022.139528

ISSN: 0009-2614

Scopus: 2-s2.0-85125789571
[ Google Scholar ]
URI
https://vinar.vin.bg.ac.rs/handle/123456789/10195
Collections
  • Radovi istraživača
Institution/Community
Vinča
TY  - 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 . .

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