NanoLab/NSF NUE/Bumm
Lattice Constants
l
The distance between planes of atoms is
l
d
(
hkl
) = 2
π
/ |
G
|
l
Since
G
can be written as
l
G
= 2
π
/
a
(
h
*
b
1
+
k
*
b
2
+
l
*
b
3
)
l
Substitute in
G
l
d
(
hkl
) =
a
/ (
h
2
+
k
2
+
l
2
)
(1/2)
l
Or
l
a
=
d
*
(
h
2
+
k
2
+
l
2
)
(1/2)
l
a
is the spacing between nearest neighbors