The valence energy band of a given semiconductor is described by a non-parabolic behavior as in E(k) = - ak² - ẞ k³. Find the electron effective mass m* when moving through the lattice in the following two cases: a) At k=0 b) Atk 2 x 107 cm-1 Let mo be the free electron mass of 9.11 x 10-31 [kg], the electron charge q = 1.602 x 10-19 C; Planck's constant h = 6.625 x 10-34 [J-s]; h = h/2 = 1.054 x 10-34 [J-s], α = 2 x 10-38. [J-m²] and ẞ = 5 x 10-47. [J-m³]

Introductory Circuit Analysis (13th Edition)
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Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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The valence energy band of a given semiconductor is described by a non-parabolic
behavior as in E(k) = - ak² - ẞ k³. Find the electron effective mass m* when moving
through the lattice in the following two cases:
a) At k=0
b) Atk 2 x 107 cm-1
Let mo be the free electron mass of 9.11 x 10-31 [kg], the electron charge q = 1.602
x 10-19 C; Planck's constant h = 6.625 x 10-34 [J-s]; h = h/2 = 1.054 x 10-34 [J-s], α =
2 x 10-38. [J-m²] and ẞ = 5 x 10-47. [J-m³]
Transcribed Image Text:The valence energy band of a given semiconductor is described by a non-parabolic behavior as in E(k) = - ak² - ẞ k³. Find the electron effective mass m* when moving through the lattice in the following two cases: a) At k=0 b) Atk 2 x 107 cm-1 Let mo be the free electron mass of 9.11 x 10-31 [kg], the electron charge q = 1.602 x 10-19 C; Planck's constant h = 6.625 x 10-34 [J-s]; h = h/2 = 1.054 x 10-34 [J-s], α = 2 x 10-38. [J-m²] and ẞ = 5 x 10-47. [J-m³]
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