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1. a) Use the Fermi-Dirac distribution function with no approximations to determine the probability than an energy level at E = EF + 5kT is occupied by an electron. b) Use the Boltzmann approximation to determine the probability than an energy level at E = EF + 5KT is occupied by an electron. c) The % difference between a value R and a reference value R+ is determined by the following equation; % D = (R-R+) x 100% Rf Calculate the % difference between results obtained in a) and b) above using the result without the approximation as the reference value. d) Is the Boltzmann approximation valid when E - EF = 5kT? 1.0 -in -Fermi-Dirac function Boltzmann approximation Figure 3.351 The Fermi-Dirac probability function and the Maxwell-Boltzmann approximation.

1. a) Use the Fermi-Dirac distribution function with no approximations to determine the probability than an energy level at E = EF + 5kT is occupied by an electron. b) Use the Boltzmann approximation to determine the probability than an energy level at E = EF + 5KT is occupied by an electron. c) The % difference between a value R and a reference value R+ is determined by the following equation; % D = (R-R+) x 100% Rf Calculate the % difference between results obtained in a) and b) above using the result without the approximation as the reference value. d) Is the Boltzmann approximation valid when E - EF = 5kT? 1.0 -in -Fermi-Dirac function Boltzmann approximation Figure 3.351 The Fermi-Dirac probability function and the Maxwell-Boltzmann approximation.

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1. a) Use the Fermi-Dirac distribution function with no approximations to determine the probability than an energy level at E = EF + 5kT is occupied by an electron. b) Use the Boltzmann approximation to determine the probability than an energy level at E = EF + 5kT is occupied by an electron. c) The % difference between a value R and a reference value R+ is determined by the following equation; % D = (R-R₁) x 100% Rf Calculate the % difference between results obtained in a) and b) above using the result without the approximation as the reference value. d) Is the Boltzmann approximation valid when E - EF = 5kT? 1.0 Fermi-Dirac function Boltzmann approximation E Figure 3.35 | The Fermi-Dirac probability function and the Maxwell-Boltzmann approximation.
Transcribed Image Text:1. a) Use the Fermi-Dirac distribution function with no approximations to determine the probability than an energy level at E = EF + 5kT is occupied by an electron. b) Use the Boltzmann approximation to determine the probability than an energy level at E = EF + 5kT is occupied by an electron. c) The % difference between a value R and a reference value R+ is determined by the following equation; % D = (R-R₁) x 100% Rf Calculate the % difference between results obtained in a) and b) above using the result without the approximation as the reference value. d) Is the Boltzmann approximation valid when E - EF = 5kT? 1.0 Fermi-Dirac function Boltzmann approximation E Figure 3.35 | The Fermi-Dirac probability function and the Maxwell-Boltzmann approximation.
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