Ashcroft Mermin eng · Problem 4b

Defects in Crystals

Physics — Statistical Mechanics · orientational-polarization-langevin

Problem

Typical dipole moments are of order 1 Debye unit (

10^{-18}

in esu). Show that for an electric field of order

10^4

volts/cm the polarizability at room temperature can be written as

\alpha = \frac{p^2}{3k_B T}. \tag{27.89}