A sample of molybdenum (Mo) is analyzed by x-ray diffraction using NiK radiation. Calculate the value of the angle at which the lowest-angle reflection is observed.
Express your answer in degrees:
To calculate the value of the angle at which the lowest-angle reflection is observed, we need to use Bragg's Law. Bragg's Law relates the angle of incidence (θ) of X-rays on a crystal lattice to the wavelength (λ) and the spacing between crystal planes (d) as follows:
nλ = 2d sin(θ)
Where:
- n is the order of the diffracted beam (for the lowest-angle reflection, n=1),
- λ is the wavelength of the X-ray (given as NiK radiation),
- d is the spacing between crystal planes, and
- θ is the angle at which the lowest-angle reflection is observed.
For NiK radiation, the wavelength is typically 0.154 nm.
To determine the spacing between crystal planes, we need to consult a database or reference that provides lattice parameter information for molybdenum.
Assuming we have access to the lattice parameter information, we can calculate the spacing between crystal planes (d).
Once we have the value of d, we can rearrange Bragg's Law to solve for the angle θ:
θ = arcsin(nλ / (2d))
Substituting the values for n, λ, and d, we can calculate the angle at which the lowest-angle reflection is observed.
Note: Without the specific lattice parameter information for molybdenum, it is not possible to provide the exact value of the angle.