Crystal planes and Miller indices

The lattice constant of a unit cell of a cube is 3.28 Angstrom. The interplanar spacing of ( 2 0 1 ) plane is ------ Angstrom.

• 1.093

• 1.467

• 1.641

• 0.986

In a cubic crystal, a given plane intercepts the axes at 3a, 3b & c. The Miller indices of the plane are ________

• ( 3 3 1 )

• ( 1 3 3 )

• ( 1 1 3 )

• ( 3 1 1 )

In a crystal, a given plane is parallel to the 'a' axis and 'b' axis and intercepts the 'c' aces at c. The Miller indices of the plane are

• ( 0 0 1 )

• ( 1 1 0 )

• 
  

  $\left(\infty,\infty,1\right)$

• ( 1 1 1)

The inter planar spacing between ( 1 2 2 ) planes found to be 2.35 Angstrom. The lattice constant in case of simple cubic is -------- Angstrom.

• 0.261

• 0.783

• 7.05

• 21.15

Intercepts of a plane in crystal is given by 1, 1/2, 1/3 in a simple cubic unit cell, Miller indices are

• (1 3 2)

• (2 6 1)

• (1 2 3)

• (3 6 1)

The red shaded plane is:

• (100)

• (1,0,0)

• <100>

• {100}

Identify the given plane.

• (011)

• (101)

• (001)

• (111)

If a Miller index is zero, the plane is

• parallel to that axis

• perpendicular to axis

• equal to axis

• zero

Interplanar distance of a family of planes with miller indices (hkl) is

• 
  

  $a=\frac{d}{\sqrt{h^2+k^2+l^2}}$

• $d=\frac{a}{\sqrt{h^2+k^2+l^2}}$

• $d=a\sqrt{h^2+k^2+l^2\ }$

• $\sqrt{h^2+k^2+l^2}$

------------- group of three numbers that indicates the orientation of a plane or set of parallel planes of atoms in a crystal

• Crystal structures

• Miller indices

• Bravais lattices

• Motif