Question No. I: a) The energy wave vector dispersion relation for one dimensional crystal of lattice constant "a" is E(k)= E,-a-2Bcos ka, where E,,a,and Bare consts. (i) Find the value of "k" for which velocity of electron is maximum (ii) Find the difference hetween top and bottom of the energy band. Obtain the effective mass of electron at the top and bottom of the energy band.
Question No. I: a) The energy wave vector dispersion relation for one dimensional crystal of lattice constant "a" is E(k)= E,-a-2Bcos ka, where E,,a,and Bare consts. (i) Find the value of "k" for which velocity of electron is maximum (ii) Find the difference hetween top and bottom of the energy band. Obtain the effective mass of electron at the top and bottom of the energy band.
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Transcribed Image Text:Question No. I:
a) The energy wave vector dispersion relation for one dimensional crystal of lattice constant "a" is
E(k) E,-a-2ßcos ka, where E, ,a,and Bare consts.
(i)
Find the value of "k" for which velocity of electron is maximum
(ii)
Find the difference hetween top and bottom of the energy band.
(iii)
Obtain the effective mass of electron at the top and bottom of the energy band.
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