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:

1. The scattering of light on the atomic planes is specular (mirror-like).

2. The incident and scattered light and the light inside the crystal have the same wavelength.

Links:

1. 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:

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