Bragg diffraction from angle of diffraction and wavelength¶

Diffraction from a three-dimensional periodic structure such as atoms in a crystal is called Bragg’s diffraction. This is similar to what happens when waves are scattered on a diffraction grating. Bragg’s diffraction is a consequence of interference between waves reflected from crystal planes.

Conditions:

The scattering of light on the atomic planes is specular (mirror-like).
The incident and scattered light and the light inside the crystal have the same wavelength.

Links:

Wikipedia.

distance¶: euclidean_distance between crystal planes, also called the “grating constant” of the crystal.

Symbol:: d
Latex:: \(d\)
Dimension:: length

diffraction_order¶: Diffraction order indicates the number of integer wavelengths that fit in the total light path so that the light waves could constructively interfere. See positive_number.

Symbol:: N
Latex:: \(N\)
Dimension:: dimensionless

wavelength¶: wavelength of the incident and scattered light.

Symbol:: lambda
Latex:: \(\lambda\)
Dimension:: length

glancing_angle¶: The glancing angle is the angle that complements the angle of incidence of the beam up to a right angle.

Symbol:: phi
Latex:: \(\varphi\)
Dimension:: angle

law¶

d = N * lambda / (2 * sin(phi))

Latex:: \[d = \frac{N \lambda}{2 \sin{\left(\varphi \right)}}\]