Pure silicon at room temperature has an electron number density of about 5 x 101

Question

Pure silicon at room temperature has an electron number density of about 5 x 1015 m-3 and an equal density of holes in the valence band. Suppose that one of every 106 silicon atoms is replaced by a phosphorus atom. (a) What charge carrier number density will the phosphorus add (in terms of nm-3)? (b) What is the ratio of the charge carrier number density (electrons in the conduction band and holes in the valence band) in the doped silicon to that in pure silicon? The density of silicon is 2.33 g/cm3 and its molar mass is 28.086 g/mol

Explanation / Answer

Avogadro constant N = 6.02

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