Hakuna Matata

1
RECIPROCAL LATTICE
(3,1)
(2,1)
(1,1)
(0,1)
(0,0)
2
RECIPROCAL LATTICE
(3,1)
(2,1)
(1,1)
(0,1)
length1/d0,1
(0,1) planes
REAL LATTICE
3
RECIPROCAL LATTICE
(3,1)
(2,1)
length is longer than (0,1) since spacing between
(1,1) planes is smaller.
(1,1)
(0,1)
length1/d1,1
REAL LATTICE
(0,0)
(1,1) planes
4
RECIPROCAL LATTICE
(3,1)
(2,1)
(1,1)
(0,1)
length1/d2,1
REAL LATTICE
(0,0)
(2,1) planes
5
RECIPROCAL LATTICE
(3,1)
(2,1)
(1,1)
(0,1)
length1/d3,1
REAL LATTICE
(0,0)
(3,1) planes
6
RECIPROCAL LATTICE
(3,1)
(2,1)
(1,1)
(0,1)
(0,1) planes
REAL LATTICE
(0,0)
(1,1) planes
(2,1) planes
(3,1) planes
7
RECIPROCAL LATTICE
(0,2)
(3,1)
(2,1)
(1,1)
(0,1)
length1/d0,2
(0,2) planes
REAL LATTICE
(0,0)
8
RECIPROCAL LATTICE
(1,2)
(0,2)
(3,1)
(2,1)
(1,1)
(0,1)
length1/d1,2
REAL LATTICE
(0,0)
(1,2) planes
9
RECIPROCAL LATTICE
(2,2)
(1,2)
(0,2)
(3,1)
(2,1)
(1,1)
(0,1)
length1/d2,2
REAL LATTICE
(0,0)
(2,2) planes
10
RECIPROCAL LATTICE
(3,2)
(2,2)
(1,2)
(0,2)
(3,1)
(2,1)
(1,1)
(0,1)
length1/d3,2
REAL LATTICE
(0,0)
(3,2) planes
11
RECIPROCAL LATTICE
(3,2)
(2,2)
(1,2)
(0,2)
(3,1)
(2,1)
(1,1)
(0,1)
(0,1) planes
REAL LATTICE
(0,2) planes
(0,0)
(0,0)
(0,0)
(0,0)
(0,0)
(1,1) planes
(1,2) planes
(2,1) planes
(2,2) planes
(3,1) planes
(3,2) planes
12
How do we orient the crystal to observe
diffraction from the (0,1) reflection?
RECIPROCAL LATTICE
(3,1)
(2,1)
(1,1)
(0,1)
length1/d0,1
(0,1) planes
REAL LATTICE
13
(0,0)
q
nl2dsinq
Bragg condition-- upper beam has to be an
integral number of wavelengths from the lower
beam for constructive interference.
(0,1) planes
14
q
nl2dsinq
(0,1) planes
15
(1,1) planes
16
(2,1) planes
17
(No Transcript)
18
(No Transcript)
19
(No Transcript)
20
(No Transcript)
21
(No Transcript)