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In a semiconductor crystal, the total number of electrons in the outer shell is 4N. At absolute zero, the number of energy states of valence and conduction band are respectively

  • A.0 and 4N
  • B.4N and 4N
  • C.4N and 0
  • D.8N and 0
  • E.0 and 8N

Answer: B

The numbers of states are 4N and 4N.

In a crystal of N atoms of silicon or germanium, the outer s and p levels (2N + 6N = 8N states) split into two bands of 4N states each: a lower valence band and an upper conduction band.

At absolute zero all 4N valence electrons fill the 4N valence states and the 4N conduction states are empty. The options with 0 confuse the number of states with the number of electrons occupying them.

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