Analytical approximation of the Fermi-Dirac integrals of half-integer and integer orders
- Авторлар: Koroleva O.1,2, Mazhukin A.1,2, Mazhukin V.1,2, Breslavskiy P.1
-
Мекемелер:
- Keldysh Institute of Applied Mathematics
- National Research Nuclear University MEPhI
- Шығарылым: Том 9, № 3 (2017)
- Беттер: 383-389
- Бөлім: Article
- URL: https://journals.rcsi.science/2070-0482/article/view/201777
- DOI: https://doi.org/10.1134/S2070048217030073
- ID: 201777
Дәйексөз келтіру
Аннотация
We have obtained continuous analytical expressions approximating the Fermi-Dirac (F-D) integrals of orders j = −1/2, 1/2, 1, 3/2, 2, 5/2, 3, and 7/2 in a convenient form for calculation with reasonable accuracy (1–4)% in a wide degeneration range in this paper. An approach based on the least squares method for approximation was used. The demands for the approximation of integrals, the range of variation of order j, and the definitional domain are considered in terms of the use of F-D integrals to determine the properties of metals and semiconductors.
Негізгі сөздер
Авторлар туралы
O. Koroleva
Keldysh Institute of Applied Mathematics; National Research Nuclear University MEPhI
Email: vim@modhef.ru
Ресей, Moscow; Moscow
A. Mazhukin
Keldysh Institute of Applied Mathematics; National Research Nuclear University MEPhI
Email: vim@modhef.ru
Ресей, Moscow; Moscow
V. Mazhukin
Keldysh Institute of Applied Mathematics; National Research Nuclear University MEPhI
Хат алмасуға жауапты Автор.
Email: vim@modhef.ru
Ресей, Moscow; Moscow
P. Breslavskiy
Keldysh Institute of Applied Mathematics
Email: vim@modhef.ru
Ресей, Moscow