How do you determine lattice parameter using d value?

Answer 1

it's easy!

n.lambda=2d.sin theta

d=n.lambda/(2 sin theta)

for orthorombic structure,

d=1/rms{h^2/a^2+k^2/b^2+l^2/c^2}

n.lambda/(2 sin theta)=1/rms{h^2/a^2+k^2/b^2+l^2/c^2}

By knowing lambda, theta for the corresponding h, k, l, and h, k, l y you can find a, b and c.

but wait, you have to solve d100, d010 and d001 to find a, b and c respectively.

My question, how diffractometer system determines the h, k, l or a, b and c for each d and theta respectively?

Answer 2

The lattice parameter can be determined using the relation: a = d_hkl * sqrt(h^2 + k^2 + l^2), where a is the lattice parameter and d_hkl is the interplanar spacing corresponding to the Miller indices hkl. The d_hkl value can be measured from X-ray diffraction data, and by substituting it in the formula along with the corresponding Miller indices, the lattice parameter can be calculated.