(0,0) RECIPROCAL LATTICE (0,1) (1,1) (2,1) (3,1) REAL LATTICE a b a* b*
25
(0,0) RECIPROCAL LATTICE (0,1) (1,1) (2,1) (3,1) REAL LATTICE a b a* b*
-
Upload
homer-jenkins -
Category
Documents
-
view
224 -
download
0
Transcript of (0,0) RECIPROCAL LATTICE (0,1) (1,1) (2,1) (3,1) REAL LATTICE a b a* b*
(0,0)
RECIPROCAL LATTICE
(0,1)(1,1)
(2,1)(3,1)
REAL LATTICE
a
b
a*
b*
(0,1) planes(0,0)
RECIPROCAL LATTICE
(0,1)(1,1)
(2,1)(3,1)
a*
b*
REAL LATTICE
a
b
length=1/d0,1
(1,1) planes(0,0)REAL LATTICE
RECIPROCAL LATTICE
(0,1)(1,1)
(2,1)(3,1)
a*
b*
length=1/d1,1
length is longer than (0,1) since
spacing between (1,1) planes is
smaller.
a
b
(0,0)
(2,1) planes
REAL LATTICE
RECIPROCAL LATTICE
(0,1)(1,1)
(2,1)(3,1)
a*
b*
a
b
length=1/d2,1
(0,0)
(3,1) planes
REAL LATTICE
RECIPROCAL LATTICE
(0,1)(1,1)
(2,1)(3,1)
a*
b*
a
b
length=1/d3,1
(0,1) planes
(1,1) planes(0,0)
(2,1) planes
(3,1) planes
REAL LATTICE
RECIPROCAL LATTICE
(0,1)(1,1)
(2,1)(3,1)
a*
b*
a
b
(0,2) planes(0,0)
RECIPROCAL LATTICE
(0,1)(1,1)
(2,1)(3,1)
a*
b*
REAL LATTICE
a
b
length=1/d0,2
(0,2)
(1,2) planes(0,0)REAL LATTICE
RECIPROCAL LATTICE
(0,1)(1,1)
(2,1)(3,1)
a*
b*
length=1/d1,2
a
b
(1,2)(0,2)
(2,2) planes(0,0)REAL LATTICE
RECIPROCAL LATTICE
(0,1)(1,1)
(2,1)(3,1)
a*
b*
length=1/d2,2
(1,2)(0,2)
a
b
(2,2)
(0,0)
(3,2) planes
REAL LATTICE
RECIPROCAL LATTICE
(0,1)(1,1)
(2,1)(3,1)
a*
b*
a
b
(1,2)(0,2)
(2,2)(3,2)
length=1/d3,2
(0,1) planes
(1,1) planes(0,0)
(2,1) planes
(3,1) planes
REAL LATTICE
RECIPROCAL LATTICE
(0,1)(1,1)
(2,1)(3,1)
a*
b*
a
b
(0,0)(0,0)(0,0)(0,0)
(1,2)(2,2)
(3,2)
(0,2)
(0,2) planes
(1,2) planes
(2,2) planes
(3,2) planes
(0,1) planes(0,0)
RECIPROCAL LATTICE
(0,1)(1,1)
(2,1)(3,1)
a*
b*
REAL LATTICE
a
b
length=1/d0,1
How do we orient the crystal to observe
diffraction from the (0,1)
reflection?
(0,0)
(0,1) planes
n=2dsin
Bragg condition-- upper beam has to be an integral number of wavelengths from the lower beam forconstructive interference.
(0,0)
(0,1)(1,1)
(2,1)(3,1)
(0,0)
(0,1) planesn=2dsin
(1,1) planes
(0,0)
(0,1)(1,1)
(2,1)
(3,1)
(0,0)
(0,0
)
(2,1) planes
(0,1
)(1
,1)
(2,1
)(3
,1)
(0,0
)
Oscillation AngleThe 3 diffraction images below were recorded from the same crystal using the same X-ray wavelength, but different oscillation angles. Underneath each image write in the corresponding oscillation angle. The choices are 0.10°, 1.00°, and 5.00°.
A B C
TimeThe 3 diffraction images below were recorded from the same crystal using the same X-ray wavelength, but different lengths of exposure. Underneath each image write in the corresponding length of exposure. The choices are 12 s, 60 s, and 300 s.
A B C
DistanceThe 3 diffraction images below were recorded from the same crystal using the same X-ray wavelength, but different crystal-to-detector distances. Underneath each image write in the corresponding crystal-to-detector distance. (80, 250, or 450 mm)
A B C
DIS
TA
NC
E: T
he 3
diff
ract
ion
imag
es b
elow
wer
e re
cord
ed fr
om th
e sa
me
crys
tal u
sing
the
sam
e X
-ray
wav
elen
gth,
but
diff
eren
t cry
stal
-to-
dete
ctor
dis
tanc
es. O
n ea
ch im
age
writ
e in
the
corr
espo
ndin
g cr
ysta
l-to-
dete
ctor
dis
tanc
e. T
he c
hoic
es a
re 8
0, 2
50, o
r 45
0 m
m.
AB
C
AB
C
TIM
E: T
he 3
diff
ract
ion
imag
es b
elow
wer
e re
cord
ed fr
om th
e sa
me
crys
tal u
sing
the
sam
e X
-ray
w
avel
engt
h, b
ut d
iffer
ent l
engt
hs o
f exp
osur
e. O
n e
ach
imag
e w
rite
in t
he c
orre
spon
ding
leng
th o
f ex
posu
re.
The
cho
ices
are
12
s, 6
0 s,
and
300
s.
OS
CIL
LAT
ION
AN
GLE
: The
3 d
iffra
ctio
n im
ages
bel
ow w
ere
reco
rded
from
the
sam
e cr
ysta
l us
ing
the
sam
e X
-ray
wav
elen
gth,
but
diff
eren
t osc
illat
ion
angl
es. O
n ea
ch im
age
writ
e in
the
corr
espo
ndin
g os
cilla
tion
angl
e. T
he c
hoic
es a
re 0
.10°
, 1.0
0°, a
nd 5
.00°
.
AB
C
nam
e
