ABSTRACT

Here, dhkl is the spacing between the (hkl) planes that diffract the

radiation. This is the perpendicular distance between the parallel

planes and is given for the cubic crystals as:

dhkl = a√

h2 + k2 + l2 (4.12)

The XRD patterns of a powdered sample can be used to iden-

tify its crystalline phases and structural properties. An observed

shift in peak position indicates a change in d-spacing and hence

an internal strain in the crystals. An observed peak broaden-

ing is also frequently attributed to the finite size of the crystals.

The Debye-Scherrer equation relates peak width to the crystallite

size D: