For Ni3Fe system
planes :: peak height ratio
111 : 002 : 022 :: 1 : 0.474 : 0.267
Now if I consider a unit cell of Ni3Fe. Then d-spacing for various plane is already known and hence number of planes in that orientation can be calculated in given unit cell.
For example: (111) oriented plane , d111 = unit length/sqrt(3)
Similarly d002 = unit length/2 , d022 = unit length/(2*sqrt(2))
Hence, planes :: d-spacing ratio
111 : 002 : 022 :: 1/sqrt(3) : 1/2 : 1/(2*sqrt(2))
So expected number of planes based on d-spacing considering
number of planes in inversely proportional to d-spacing.
Hence, planes :: number of planes
111 : 002 : 022 :: (2*sqrt(2))/sqrt(3) :(2*sqrt(2))/2 : (2*sqrt(2))/(2*sqrt(2))
111 : 002 : 022 :: 0.612 :0.707 : 1
I expected the peak height ratio :: number of planes ration to be same or at least proportional , but there seems no such relation. WHY?