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Find out the intercepts made by the planes (1 0 1) and (4 1 4) in a cubic unit cell. Draw(1 2 1) and (1 2 4) in a cubic unit cell.

Mumbai university > FE > SEM 1 > Applied Physics 1

Marks: 5M

Year: May 2013

1 Answer
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The given unit cell is cubic i.e. a=b=c=1

Intercepts made by plane (1 0 1) are:-

X-Intercept=$\frac{1}{1}$ = 1

Y-Intercept= $\frac{1}{0}$ = ∞

Z-Intercept= $\frac{1}{1}$ = 1

Intercepts made by plane (4 1 4) are:-

X-Intercept= $\frac{1}{4}$ = 0.25

Y-Intercept= $\frac{1}{1}$ = 1

Z-Intercept= $\frac{1}{4}$ = 0.25

Cubic Unit Cells:-

Plane (1 2 1)

X-Intercept= $\frac{1}{1}$ = 1

Y-Intercept= $\frac{1}{2}$ = 0.5

Z-Intercept= $\frac{1}{1}$ = 1

enter image description here

Plane (1 2 4)

X-Intercept= $\frac{1}{1}$ = 1

Y-Intercept= $\frac{1}{2}$ = 0.5

Z-Intercept= $\frac{1}{4}$ = 0.25

enter image description here

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