Potentially useful equations: d = m/V λ = 2dsinθ

For a cubic unit cell:

h

lzkyhxi

k lhkl

nnneFV

zyx )(21),,(

j

nnnjhkl lzkyhxfF )(2cos2

hklhkl IF Crystal system Unit Cell Volume

Cubic V = a3

Tetragonal V = a2c

Hexagonal V = a2csin(60°)

Trigonal V = a2csin(60°)

Orthorhombic V = abc

Monoclinic V = abcsin(β)

Triclinic V = abc (1- cos2α - cos2β - cos2γ) + 2(cos(α) cos(β) cos(γ))½

2

222

2

1

a

lkh

d

cos)(cos 2/122SM BB

C

B

CT

r

eZZE

0

2

4

o

co

F

FFR