Question

Problem 2.32 Hall effect with ions in ionic crystals

By using various sensitive measurement techniques, it is possible to carry out Hall effect measurements on certain ionic crystals. Stuhrmann, Kreiterling and Funke in 2002 (Solid State Ionics, 154, 109) were able to measure the Hall voltage on superionic RbAg₄I₅ crystals in a magnetic field. The results at 100 °C indicate that the Hall coefficient is approximately 5.7 × 10^-4 cm³ C^-1. The conductivity of the sample at the same temperature is approximately 0.53 W^-1 cm^-1. The mobile charges are Ag⁺ ions. What is the Hall mobility of Ag⁺ ions? The Ag⁺ concentration in in the crystal can be estimated from the density of the crystal (d = 5.38 g cm^-3) and is approximately 1.13×10²² cm^-3. Assuming that all the ions are moving, what should be the drift mobility of Ag⁺ ions at 100 °C? What is your conclusion?

Answer 1