In: Physics
The sine of angle on the plane (111) of a cubic rock salt crystal (a = 338 pm corresponding to fourth order diffraction maxima with wavelength 0.81 A is,
The Given Details are
Plane(hkl) = 111
Wavelength ()
= .81 A = .81 * 10 -10 m
Lattice constant (a) = 338 pm = 338 * 10-12 m
Order of diffraction (n) = 4
Bragg's law is
2d sin
= n
(1)
Rock salt is Face Centerd Cube (FCC)
S0, d=
d = (338 * 10-12
)/
m (2)
d = 195.14 * 10-12 m
we have to find the sine angle of the plane
that is sin
substitute (2) in (1)
sin
= n
/2d
sin
= (4*.81*10-10)/(2*195.14*10-12)
sin
= (3.24 * 10-10)/(390.28*10-12)
sin
= 324/390.28
sin
= .830
Where
is the glacing angle
= 56.10o