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 $x$ .

3 5 4 6

1 solution

Sanath Balaji
Jun 2, 2016

$\blacklozenge A=12\\ \blacklozenge B=8\\ \blacklozenge C=2\\ \blacklozenge D=1\\ \\ \log _{ 2 }{ (12.8.1)=x+\frac { 3\log _{ 2 }{ 3 } }{ 3\log _{ 2 }{ 2 } } } \\ 5+\log _{ 2 }{ 3 } =x+\log _{ 2 }{ 3 } \\ x=5\\$

Solid State

1 solution

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