Solid State

Chemistry Level 2

Let the values of \(A,B,C\) and \(D\) satisfy the following constraints:

  • The value of \(A\) is the coordination number in face-centered cubic unit cell.

  • The value of \(B\) is the coordination number in body-centered cubic unit cell.

  • The value of \(C\) is the tetrahedral voids per atom in FCC.

  • The value of \(D\) is the octahedral voids per atom in FCC.

If \(\log_C A + \log_C B + \log_C D = x + \log_8 27 \), find \(x\).

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