Problem #0087 Quantum Physics Problem #0089 Chapters Chapters

789.

Problem 53.3 (RHK)

Gold is a monovalent metal with a molar mass of and a density of . We have to calculate the density of charge carriers.

Solution:             Click For PDF Version

As gold is a monovalent metal each atom will contribute one conduction electron. Therefore, the density of charge carriers will be equal to the number density of gold atoms. As the number density of gold atoms

,

where is the Avogadro constant, is the molar mass of gold, and is the density of gold, we find

Therefore, the density of conduction electrons in gold metal will be .