(a) Use your knowledge of reciprocal space to write a general expression for the d-spacing of a set of hkl planes in the triclinic system. This equation should be written entirely in terms of real space parameters, ab.c, a, ß and y.e
(a) Use your knowledge of reciprocal space to write a general expression for the d-spacing of a set of hkl planes in the triclinic system. This equation should be written entirely in terms of real space parameters, ab.c, a, ß and y.e
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Please answer (a)
Transcribed Image Text:(a) Use your knowledge of reciprocal space to write a general expression for the d-spacing
of a set of hkl planes in the triclinic system. This equation should be written entirely in
terms of real space parameters, abc a, ß and y.
(b) Show that in the case of the hexagonal crystal system the general equation from 4 (a)
reduces to:
1
4 (h² + hk + k²\
12
+
||
d2
a2
(c) Similarly show that for the case of a tetragonal crystal the general form from 4 (a)
reduces to:
4 (h² + k²\
12
+
d?
a2
(d) Show that for a tetragonal crystal the angle ø between the plane (hkili) of spacing di
and the plane (h2kzlı) of spacing d2 is given by:e
h,h2 + k,k2 , 4l2
a2
cos o =
(hi+k,(3+k3,号
+
q?
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