Krypton's tabulated polarisability volume is

PHYSICS · Subjective · Fermi University Physics · Electricity, Magnetism & Electromagnetism · Electric fields in matter · Electric fields in matter

The Boundary-Value Problem, Ch Molecular polarisability, permanent dipoles and the Clausius-Mossotti relation

Problem

\alpha/4\pi\varepsilon_0 = 2.48\times10^{-30}\,\mathrm{m^3}

. Liquid krypton near its boiling point has density

2.413\times10^3\,\mathrm{kg\,m^{-3}}

and molar mass

83.80\times10^{-3}\,\mathrm{kg\,mol^{-1}}

; krypton has no permanent dipole moment. The measured relative permittivity of the liquid is

1.66

. Take

N_A = 6.022\times10^{23}\,\mathrm{mol^{-1}}

. Predict the liquid's relative permittivity with the Clausius-Mossotti relation and compare with the measured value.