# Bragg's Law Calculator

Make use of our free Bragg's Law Calculator to find the unknown parameters like order, incidence angle, wavelength, interplanar distance within a short span of time. Enter the known values in the input fields and click on the calculate button which is in blue colour to get the output easily.

### Steps to Calculate Bragg's Law Parameters

Get the step by step procedure to calculate the Bragg's law parameters in the following sections.

- Make a note of the given details from the question.
- Bragg's law equation is n * ╬╗ = 2 * d * sin(╬╕).
- Substitute the given details in the equation and perform the required operations to get the result.

### Bragg's Law Formula

Bragg's law is the fundamental tool for investigating the crystal structure. It is a special case of Laue diffraction that finds the angle of coherent and incoherent scattering from a crystal.

Bragg's law states that when the x-ray incident onto a crystal surface, its incidence angle reflect with the same angle of scattering. When the path difference is equal to the order of the wavelength then consecutive interference will occur.

**Bragg's Equation**

It is the condition for the angle of the incident wave for which the maximum diffraction pattern occurs and the formula is n╬╗ = 2d sin╬╕

Bragg's law equation explains why faces of crystals reflect X-ray beams at particular angles of incidence.

Where,

n is the positive interger, order

╬╗ is the wavelength of the X-ray

d is the interplanar distance i.e the distance between consecutive layers of atoms

╬╕ is the angle of incident X-ray

**Example**

**Question: The wavelength of X-rays is 0.051 nm which is diffracted by a plane of salt with 0.28 nm as the lattice constant. Determine the glancing angle for the second-order diffraction. Let us take the value of the salt plane to be 130 and the salt is rock salt.**

**Solution:**

Given that

Wavelength of X-arys = 0.051 nm

Lattice constant = 0.28 nm

Plane = 130

Order of diffraction = 2

Glancing angle = ?

Using Bragg's equation 2d sin ╙¿ = n╬╗

Rock salt has FCC

So, d = [(0.28 x 10^{-9})/(ΓêÜ(1┬▓ + 1┬▓ + 0┬▓)]

= (0.28 x 10^{-9})/(ΓêÜ(2) m

Substitute the values in the equation

2 * [(0.28 x 10^{-9})/(ΓêÜ(2)] sin╙¿ = 2 * 0.051

╙¿ = 14.8┬░

Therefore, the glancing angle is 14.8┬░.

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### FAQ's on Bragg's Law Calculator

**1. What are the applications of Bragg's Law?**

The applications of Bragg's law is in case of X-ray fluorescence wavelengths and spectroscopy or wavelength dispersive spectrometry, crystals of known d-spacings used as analyzing crystals in the spectrometer.

**2. In Bragg's Law what is the order of diffraction?**

The order of diffraction is a positive integer and it is represented as n in the equation.

**3. Give the difference between diffraction and interference?**

Interference is a property originated by waves from 2 different coherent sources, whereas wavelets of secondary is originated from the same wave but occur from the different parts to produce a phenomenon called diffraction.

**4. How to solve interplanar distance in bragg's law equation?**

Bragg's law equation to calculate the distance between consecutive layers of atoms is d = (n╬╗)/(2sin(╬╕). Substitute the values in this equation and solve.