When x-rays are diffracted off NaCl, constructive interference is observed at an angle of 16.3 degrees. Determine the lattice constant of NaCl.
Frequency of the X-ray is 1.948 x 10^18 hz
Theta = 16.3 degrees
(As far as what we're told to use and what's in the book)
2d * Sin (Theta) = m * Lambda
The Attempt at a Solution
After looking through the problem it is very clear that I am unable to find the "lattice constant" from the information given in the book.
I've found the following equations:
1) d = a/sqrt(h2+k2+l2)
2) Lambda/2a= sin 2 Theta/h2+k2+l2
I've tried deriving #2 down to where it is usable and I get:
a2 = (Lambda2/4) * (h2+k2+l2/Sin2 Theta)
I've been unable to figure out what the miller indices are (h k and l), but everything I've tried doesn't get anywhere near the values expected online of 5.63-5.65.
Am I going about this completely wrong or am I just overthinking the problem?
Any help would be much appreciated.