Miller Indices Calculator

Your details

Choose a material to auto-fill its lattice constants, or pick Custom to enter your own.
The crystal system determines which d-spacing formula is used.
The h component of the (hkl) plane. Negative values are allowed (overbar notation).
The k component of the (hkl) plane.
The l component of the (hkl) plane.
Lattice parameter along the a-axis in Angstroms (1 Å = 0.1 nm).
Å
Wavelength of the X-ray source for Bragg angle calculation. Cu K-alpha = 1.5406 Å; Mo K-alpha = 0.7107 Å. Leave zero to skip.
Å
Interplanar spacing (d)
3.1354Å

Distance between adjacent parallel planes with the given (hkl) indices

d-spacing (nm)0.3135nm
Bragg angle theta14.222deg
Diffraction angle 2theta28.444deg
Plane notation(1 1 1)
d-spacing (A)3.1354
d-spacing (nm)0.3135

d-spacing for plane (1 1 1): 3.1354 A

  • The plane (1 1 1) has an interplanar spacing of 3.1354 A (0.3135 nm).
  • With a 1.5406 A X-ray source, this plane diffracts at 2theta = 28.444 degrees, which you would observe as a peak in a powder diffraction (XRD) pattern.
  • Low-index planes like this one are typically the most densely packed and show the strongest diffraction peaks.
  • The cubic d-spacing formula is used for this calculation. Changing to a different crystal system with different lattice constants will give a different result.

Next stepCompare this d-spacing against your XRD peak positions to confirm phase identification, or use the 2theta value to locate the expected peak in a diffractogram.

 = Powered by OnlyCalculators