Question

Metallic copper has one conduction electron per atom and a fcc cubic structure with a unit cell dimension of 0.361 nm. (a) Show that the Hall coefficient has the value 7.41 x 10-11 mc-1. A current of 1 mA is passed along the length of a copper film that has thickness 100 nm that is placed in a magnetic field of 1.4 T. (b) Calculate the Hall voltage across this width of copper film.

Answer 1

Thanks

Given, dimension of each unit cell, a = 0.361 nm = 0.361x109 m volume of each unit cell, v=a3 10.361 x103) 3 4.704x109 ms no. of atoms in en Atoms each unit cell, N = 4 for fll electron de density in the copper, n = NXI 3 4 x 1 8.50281028 4 704 x 10-29 : The Hall co-efficient RH nt ne 8.592 x 1928 x (-)-61159) RH = = 7.41 X20-11 (b) The of the hall voltage across the width copper film, Y I. B net 8.50281028 1x103 x 1.4 X100XTO X 1.6x10l 1.038156 - 103 V MV