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Question: A Ge specimen is doped with Al. The concentration of acceptor atoms is ~10<sup>21</sup> atoms/m<sup>...

A Ge specimen is doped with Al. The concentration of acceptor atoms is ~1021 atoms/m3. Given that the intrinsic concentration of electron hole pairs is 1019/m3\sim 10^{19}/m^{3}, the concentration of electrons in the specimen is

A

1017/m310^{17}/m^{3}

B

1015/m310^{15}/m^{3}

C

104/m310^{4}/m^{3}

D

102/m310^{2}/m^{3}

Answer

1017/m310^{17}/m^{3}

Explanation

Solution

ni2=nhnen_{i}^{2} = n_{h}n_{e}(1019)2=1021×ne(10^{19})^{2} = 10^{21} \times n_{e}ne=1017/m3.n_{e} = 10^{17}/m^{3}.