Applying Bragg's Law to Calculate Diffraction Angle in a Crystal Structure

Explanation:

Bragg's Law: Bragg's Law is used in X-ray diffraction experiments to find the angles at which constructive interference of the reflected waves occurs, providing information about the crystal structure. It is given by the equation: nλ = 2d sin(θ)

In this scenario, assuming first-order diffraction (n=1), the Bragg's Law equation becomes: 2.567 = 2 × 3.325 sin(θ)

By solving for θ, we can determine the angle 2θ that corresponds to the observed diffraction peak. This calculation involves understanding the relationship between the wavelength of the incident beam, the spacing between crystal planes, and the diffraction angle.

Therefore, the observed angle when a crystalline solid is irradiated by a neutron beam with a wavelength of 2.567 Angstroms and an interlayer distance of 3.325 Angstrom can be calculated using Bragg's Law to find the angle of the first-order diffraction peak. The final answer will provide the specific angle at which the diffraction peak will be observed in this crystal structure.