Crystallographic Planes for Cubic Lattices

lattice

SC

BCC

FCC

Miller indices

h

1

k

1

l

1

plane opacity

Within a crystal lattice with basis vectors

(

a

1

,

a

2

,

a

3

)

, select three Miller indices

h

,

k

, and

l

to get a set of parallel planes going through all points of the lattice. The notation

hkl

indicates the direction

h

a

1

+k

a

2

+l

a

3

. In a cubic lattice, this direction is a normal vector.

External Links

Miller Indices for a Simple Cubic Lattice

X-Ray Reflection by Planes of Atoms in a Cubic Lattice

Permanent Citation

Danyel Cavazos

"Crystallographic Planes for Cubic Lattices" from the Wolfram Demonstrations Project http://demonstrations.wolfram.com/CrystallographicPlanesForCubicLattices/
Published: April 18, 2013

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