use these homework problems on X-Ray diffraction

3.93: Determine the expected diffraction angle for the first order reflection from the (310) set of planes for BCC chromium (Cr) when monochromatic radiation of wavelength 0.0711 nm is used. Draw that plane in a BCC unit cell as well.

Note: The term diffraction angle is the value you get at 2θ.



$$So if you get a θ of 45 degrees then just double it to get a diffraction angle of 90 degrees. also Hint:

• Step 1: Find a for BCC Cr
• Step 2: Find d(hkl)
• Step 3: Find θ
• Step 4: Multiply by 2.

3.97: For which set of crystallographic planes will a first order diffraction peak occur at a diffraction angle of 44.53 degrees for FCC nickel (Ni) when monochromatic radiation having a wavelength of 0.1542 nm is used? Draw this as well and the same deal goes for the definition of diffraction angle. Hint: Work in reverse to get bottom part of equation 3.22..then figure out what plane gets you that number.