Crystallography calculator

  • (a) The angle between the (100) and (111) planes is 54.7 ○ , which is necessary for double bounce reflection.
  • How do you calculate Miller indices?

    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 is indices in crystallography?

    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..

  • What is the angle between 111 and 100?

    (a) The angle between the (100) and (111) planes is 54.7 ○ , which is necessary for double bounce reflection..

  • 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
Crystallographic calculator. This page was built to translate between Miller and Miller-Bravais indices, to calculate the angle between given directions and the 

How do you find the angle of a crystal?

Now we can determine the angle by drawing the plane that includes the c axis and the line t

In this plane we can let the length of the c = 5b, from the axial ratio

Then: So for the (111) face in this crystal ρ =81

95 o and φ = 45 o

What is a cubic cell calculator?

The cubic cell calculator will introduce you to the world of crystals: learn the mathematics underlying the most regular structure in nature, and find examples where you would never imagine! The calculations of the lattice parameter for the cubic lattices

And much more

This article will make this topic

crystal clear!

What is a good textbook for Crystallography?

We also recommend the following excellent textbook: “Structure of Materials: An Introduction to Crystallography, Diffraction and Symmetry” by M

De Graef and M E McHenry Background (hkil) i = − (h + k) (hk l) i h k i = − (h + k) h = h k = k l = l Background
In the simple cubic lattice, each atom sits at a corner of a cube. In a single cell, each corner contains an eighth of each atom

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