X-ray diffraction pattern obtained is shown below in figure Q4. The diffractometer uses a Cuka source of wavelength 1.5405 A. Peaks have been labeled with the presumed crystallographic planes. The lattice parameters of chrysotile (an asbestos mineral commonly used in construction) are a = 5.1961 A, b = 9.2365 A, c = 14.6208 A; B = 90.15. Chrysotile has a monoclinic crystal system and the geometry equation relating to the d-spacing to the unit cell dimensions is: 1 d² 1 /h² 5 sin² B Answer the following questions a² k² sin² ß 1² 2hl cosß 6² +2 ac

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X-ray diffraction pattern obtained is shown below in figure Q4. The
diffractometer uses a CuKa source of wavelength 1.5405 A. Peaks have
been labeled with the presumed crystallographic planes.
The lattice parameters of chrysotile (an asbestos mineral commonly used in
construction) are a = 5.1961 A, b = 9.2365 A, c = 14.6208 A; B = 90.15.
Chrysotile has a monoclinic crystal system and the geometry equation
relating to the d-spacing to the unit cell dimensions is:
1 1 h2
d2 - sin2a2
Answer the following questions.
140
120
Intensity (cps)
100
80
40
20
10
002
110
لبيبال
20
004
k2sin28 12 2hl cos
. *
b2
30
202
40
ac
50
70
Two theta (degree)
Figure Q4. X-ray diffraction pattern of insulation sample from wall.
(a) Describe the operation of an X-ray diffractometer and how if can be useful
for the study of construction materials.
(b) Using the geometry equation above calculate the d-spacing of the 004
crystallographic plane in the asbestos structure.
(c) Using Braggs law (nλ=2d sine) calculate the theoretical value of 2-theta for
the (002) crystallographic plane.
Transcribed Image Text:X-ray diffraction pattern obtained is shown below in figure Q4. The diffractometer uses a CuKa source of wavelength 1.5405 A. Peaks have been labeled with the presumed crystallographic planes. The lattice parameters of chrysotile (an asbestos mineral commonly used in construction) are a = 5.1961 A, b = 9.2365 A, c = 14.6208 A; B = 90.15. Chrysotile has a monoclinic crystal system and the geometry equation relating to the d-spacing to the unit cell dimensions is: 1 1 h2 d2 - sin2a2 Answer the following questions. 140 120 Intensity (cps) 100 80 40 20 10 002 110 لبيبال 20 004 k2sin28 12 2hl cos . * b2 30 202 40 ac 50 70 Two theta (degree) Figure Q4. X-ray diffraction pattern of insulation sample from wall. (a) Describe the operation of an X-ray diffractometer and how if can be useful for the study of construction materials. (b) Using the geometry equation above calculate the d-spacing of the 004 crystallographic plane in the asbestos structure. (c) Using Braggs law (nλ=2d sine) calculate the theoretical value of 2-theta for the (002) crystallographic plane.
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