If the radius of the spheres in the close packing is R and the radius of octahedral voids is r, then r $= 0.414$ R.

True

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False

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Solution

The correct option is A True
Limiting radius ratio = r/R Coordination Number of cation Structural Arrangement (Geometry of voids) Example
0.155-0.225
0.225-0.414
0.414-0.732
0.414-0.732
0.732-1.000 3
4
4
6
8 Plane Trigonal
Tetrahedral
Square planar
Octahedral
Cubic Boron Oxide
$Z n S, S i O_{2}$
-
$N a C I, M g O_{2}$
$C s C I$

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n

r

n

0.414 r

2 n

0.225 r

If R is the radius of the octahedral voids and 'r' is the radius of the atom in close packing, then $\frac{r}{R}$ is equal to

\frac{R}{r}

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Limiting radius ratio = r/R	Coordination Number of cation	Structural Arrangement (Geometry of voids)	Example
0.155-0.225 0.225-0.414 0.414-0.732 0.414-0.732 0.732-1.000	3 4 4 6 8	Plane Trigonal Tetrahedral Square planar Octahedral Cubic	Boron Oxide $Z n S, S i O_{2}$ - $N a C I, M g O_{2}$ $C s C I$