(a) Estimate the carrier mobility in Na metal at 300 K via Equation (10.10), using the...

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(a) Estimate the carrier mobility μ in Na metal at 300 K via Equation (10.10), using the conductivity of Na in Table 10.2, and the Drude-model assumption that all valence electrons can respond to an applied field.

(b) Use it to calculate the relaxation time τ.

(c) What is the rms velocity of the conduction electrons at 300 K in the Drude model?

(d) Use your answers to estimate the mean free path of an electron. How does it compare with the unit-cell parameter of 4.3 Å for Na metal? How does it compare with the estimates of mean free path? How do you account for the discrepancy between the two estimates?

Equation (10.10)

a = neu

Table 10.2

Metal Rb K Na Ca Mg Al n (m) 1.11028 1.3x1028 2.51028 4.6x1028 8.6x1028 18.0x1028  (S/m) 0.8107 1.4x107

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Related Book For  answer-question

Solid State Materials Chemistry

ISBN: 9780521873253

1st Edition

Authors: Patrick M. Woodward, Pavel Karen, John S. O. Evans, Thomas Vogt

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