Crystallographic directions generator

How do you find Miller indices for directions?

1.2: Miller Indices (hkl)

1. Step 1: Identify the intercepts on the x-, y- and z- axes
2. Step 2: Specify the intercepts in fractional co-ordinates
3. Step 3: Take the reciprocals of the fractional intercepts
4. Other Examples

What are crystallographic directions?

• A crystallographic direction is defined as a line between two points, or a vector. • Crystallographic planes are specified by three Miller indices as (h k l). [ u v w] (h k l) 24 q r s..

What are Miller indices for directions?

Miller indices are used to specify directions and planes.
These directions and planes could be in lattices or in crystals.
The number of indices will match with the dimension of the lattice or the crystal.
E.g. in .

1. D there will be 1 index and
2. D there will be two indices etc

What are Miller indices of crystal orientation?

Miller Indices are a symbolic vector representation for the orientation of an atomic plane in a crystal lattice and are defined as the reciprocals of the fractional intercepts which the plane makes with the crystallographic axes..

What is an example of a Miller indices?

For example, a plane parallel to two axes but cutting the third axis at a length equal to one edge of a unit cell has Miller indices of (100), (010), or (001), depending upon the axis cut; and a plane cutting all three axes at lengths equal to the edges of a unit cell has Miller indices of (111)..

Miller indices

1. Step 1: Identify the intercepts on the x- , y- and z- axes
2. Step 2: Specify the intercepts in fractional co-ordinates
3. Step 3: Take the reciprocals of the fractional intercepts
4. Other Examples