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Q1. Dispersion relation of electron in 1 D solid is E(k)= E, -a-2Bcos (ka). Determine (a) density of states. (b) the effective mass of electrons at k=0 as well as Brillouin zone boundaries. (c) the point of inflection i.e. k - value where velocity is maximum. Also determine the maximum velocity. (d) the band width.

Q1. Dispersion relation of electron in 1 D solid is E(k)= E, -a-2Bcos (ka). Determine (a) density of states. (b) the effective mass of electrons at k=0 as well as Brillouin zone boundaries. (c) the point of inflection i.e. k - value where velocity is maximum. Also determine the maximum velocity. (d) the band width.

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Q1. Dispersion relation of electron in 1 D solid is E(k)= E-a-2ß cos(ka). Determine (a) density of states. (b) the effective mass of electrons at k = 0 as well as Brillouin zone boundaries. (c) the point of inflection i.e. k - value where velocity is maximum. Also determine the maximum velocity. (d) the band width.
Transcribed Image Text:Q1. Dispersion relation of electron in 1 D solid is E(k)= E-a-2ß cos(ka). Determine (a) density of states. (b) the effective mass of electrons at k = 0 as well as Brillouin zone boundaries. (c) the point of inflection i.e. k - value where velocity is maximum. Also determine the maximum velocity. (d) the band width.
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