Chemistry
Chemistry
10th Edition
ISBN: 9781305957404
Author: Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher: Cengage Learning
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3. Figure below shows experimental powder diffraction patterns for ZnS (Zinc Blende),
and CdS (Hexagonal) using Cu Ka radiation.
a) Determine d-spacing for the following indexed reflections.
ZnS: (111)(220)(311)
CdS: (100) (002)(103)
b) Estimate the unit cell parameters a and c based on question a).
For cubic unit cell:
1
d²
h² +k² +1²
a²
2
=
For Hexagonal unit cell:
1 4,h² +hk+k²
4Sin²0
d²
a²
C²
2²
c) Estimate the averaged crystallite sizes for ZnS using its (111) peak.
4 sin² 0
2²
3
-) +
1²
=
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Transcribed Image Text:3. Figure below shows experimental powder diffraction patterns for ZnS (Zinc Blende), and CdS (Hexagonal) using Cu Ka radiation. a) Determine d-spacing for the following indexed reflections. ZnS: (111)(220)(311) CdS: (100) (002)(103) b) Estimate the unit cell parameters a and c based on question a). For cubic unit cell: 1 d² h² +k² +1² a² 2 = For Hexagonal unit cell: 1 4,h² +hk+k² 4Sin²0 d² a² C² 2² c) Estimate the averaged crystallite sizes for ZnS using its (111) peak. 4 sin² 0 2² 3 -) + 1² =
Scherrer equation: t =
Intensity (a.u.)
3000- ZnS
2000-
1000-
4000-
2000-
-0
Cds
20
Κλ
B cos B
(111)
(002)
(100)
(200)
(IOT)
, assume K=1
30
(102)
40
(220)
(311)
tav
(110)
(103)
[°2Theta]
(112)
(004) (201)
(200)
(202)
50
60
(400) (331)
-(210)
-(114)
- (203)
(211)
70
(105)
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Transcribed Image Text:Scherrer equation: t = Intensity (a.u.) 3000- ZnS 2000- 1000- 4000- 2000- -0 Cds 20 Κλ B cos B (111) (002) (100) (200) (IOT) , assume K=1 30 (102) 40 (220) (311) tav (110) (103) [°2Theta] (112) (004) (201) (200) (202) 50 60 (400) (331) -(210) -(114) - (203) (211) 70 (105)
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