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(6) Find the drift velocity va of conduction electrons subject to a electric field of 1 V/m and compare it with the Fermi velocity VF.

(6) Find the drift velocity va of conduction electrons subject to a electric field of 1 V/m and compare it with the Fermi velocity VF.

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Hi, Can you please solve the question and make explanation step by step? Just Option 6

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C, (%) 100 x 3;2;1 Nkg unit 75 1D 50 - 2D -3D T 25 1 Heat capacity, C, as a function of T/6, for 1D, 2D, and 3D solids. The vertical scale is in Nkg unit to multiply by 1, 2, or 3 as a function of the degree of freedom for the atom vibrations. Note the initial evolution in T, T², or T³ as a function of the dimensionalitv of the solid. 5) (1) Knowing that lithium crystallizes in a cubic system with lattice considering its atomic mass (7) and its volumetric mass (546 kg-m-), find which one is it ([simple cubic, body- centered cubic (bcc), or face-centered cubic (fcc)]? (2) Knowing that the valence electrons of this metal (1 per atom) behave as free electrons, find the shape of the Fermi surface and its expression and then calculate its characteristic dimension ke. (3) Compare kɛ obtained in (2) to the distance dm, which in reciprocal space separates the origin from the first boundary of the first Brillouin zone nearest the origin. (Evaluate dm using simple geometric considerations without having to sketch the first Brillouin zone.) (4) Find the Fermi energy of lithium Er, the Fermi temperature TF, and the speed of wF of the fastest free electrons. (5) Knowing that the resistivity p of lithium is of the order 10³ N cm at ambient temperature, find the time of flight, t, and the mean free path A of conduction electrons. (6) Find the drift velocity va of conduction electrons subject to a electric field of 1 V/m and compare it with the Fermi velocity vE. (7) Starting from the relation ka =1/3 CeVEA (or with the help of the WiedemannFranz expression), find the thermal conductivity due to electrons Ke of lithium at ambient temperature T = 300 K. M Snoll Chock
Transcribed Image Text:C, (%) 100 x 3;2;1 Nkg unit 75 1D 50 - 2D -3D T 25 1 Heat capacity, C, as a function of T/6, for 1D, 2D, and 3D solids. The vertical scale is in Nkg unit to multiply by 1, 2, or 3 as a function of the degree of freedom for the atom vibrations. Note the initial evolution in T, T², or T³ as a function of the dimensionalitv of the solid. 5) (1) Knowing that lithium crystallizes in a cubic system with lattice considering its atomic mass (7) and its volumetric mass (546 kg-m-), find which one is it ([simple cubic, body- centered cubic (bcc), or face-centered cubic (fcc)]? (2) Knowing that the valence electrons of this metal (1 per atom) behave as free electrons, find the shape of the Fermi surface and its expression and then calculate its characteristic dimension ke. (3) Compare kɛ obtained in (2) to the distance dm, which in reciprocal space separates the origin from the first boundary of the first Brillouin zone nearest the origin. (Evaluate dm using simple geometric considerations without having to sketch the first Brillouin zone.) (4) Find the Fermi energy of lithium Er, the Fermi temperature TF, and the speed of wF of the fastest free electrons. (5) Knowing that the resistivity p of lithium is of the order 10³ N cm at ambient temperature, find the time of flight, t, and the mean free path A of conduction electrons. (6) Find the drift velocity va of conduction electrons subject to a electric field of 1 V/m and compare it with the Fermi velocity vE. (7) Starting from the relation ka =1/3 CeVEA (or with the help of the WiedemannFranz expression), find the thermal conductivity due to electrons Ke of lithium at ambient temperature T = 300 K. M Snoll Chock
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