Miller Indices Calculator
Miller Indices Calculator
Do you need to calculate Miller indices quickly? Use our Miller Indices Calculator, it is a tool that helps you find the Miller indices for a plane in a crystal lattice. Enter
How to Use the Calculator
To use the Miller Indices Calculator is simple. Here’s how:
1. Enter the Xaxis Intercept: Input the intercept along the xaxis.

 Example: Enter 2.
2. Enter the Yaxis Intercept: Input the intercept along the yaxis.

 Example: Enter 3.
3. Enter the Zaxis Intercept: Input the intercept along the zaxis.

 Example: Enter 1.
After entering these values, click the “Calculate” button to get the Miller indices.
What are Miller Indices?
Miller indices are a notation system in crystallography for planes in crystal lattices. They are represented by three integers (h, k, l) and are used to describe the orientation of planes in the crystal.
Formula
To calculate Miller indices:
$(h,k,l)=(\frac{1}{a},\frac{1}{b},\frac{1}{c})$
Variables
Variable  Description 

$a$  Intercept along the xaxis 
$b$  Intercept along the yaxis 
$c$  Intercept along the zaxis 
$h$  Miller index for the xaxis 
$k$  Miller index for the yaxis 
$l$  Miller index for the zaxis 
How to Calculate Miller Indices
Example 1
For example your input into miller indices calculator is:
 Xaxis Intercept: 2
 Yaxis Intercept: 3
 Zaxis Intercept: 1
Calculation Steps:
1. Calculate $h$:

 $h=\frac{1}{2}=0.5$
2. Calculate $k$:

 $k=\frac{1}{3}\approx 0.33$
3. Calculate $l$:

 $l=\frac{1}{1}=1$
Result:
 The Miller indices are (0.5, 0.33, 1).
Example 2
Given:
 Xaxis Intercept: 1
 Yaxis Intercept: 4
 Zaxis Intercept: 2
Calculation Steps:
1. Calculate $h$:

 $h=\frac{1}{1}=1$
2. Calculate $k$:

 $k=\frac{1}{4}=0.25$
3. Calculate $l$:

 $l=\frac{1}{2}=0.5$
4. Result:
 The Miller indices are (1, 0.25, 0.5).