Скачать или смотреть Cyclotron Resonance Explained | Effective Mass of Electron in Semiconductor | Beiser Modern Physics

The effective mass m* of a current carrier in a semiconductor can be directly determined by means of a cyclotron resonance experiment in which the carriers (whether electrons or holes) move in helical orbits about the direction of an externally applied magnetic field B. An alternating electric field is applied
perpendicular to B, and resonant absorption of energy from this field occurs when its frequency is equal to the frequency of revolution c of the carrier. (a) Derive an equation for c in terms of m*, e, and B. (b) In a certain experiment, B=0.1 T and maximum absorption is found to occur at v= 1.4x1010 Hz.
Find m*. (c) Find the maximum orbital radius of a charge carrier in this experiment whose speed is 3x104 m/s.

Step-by-step solution to Problem 23 of Chapter 10 from Arthur Beiser’s "Concepts of Modern Physics.”

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