# Compton Scattering Calculator

Compton Scattering Calculator is an online tool that determines the wavelength extension of scattered photons easily. Just need to enter mass of the particle, scattered angle details in the fields of the calculator and press the calculate button to get the result within no time.

### Step by Step Process to Calculate Wavelength Extension

Below provided are the steps to calculate the wavelength extension of the particles. Follow these guiding principles to get the result.

- Get the mass of the particle and scattering details.
- Multiply the mass of the particle and speed of the light.
- Divide the Planck's constant by the product.
- Find the cos of the scattering angle.
- Subtract 1 from the result.
- Get the product of the result from above step by 3rd step.

### Wavelength Extension Formula

A photon is treated as the massless particle that transports energy. When one photon collides with another, then electron changes its direction.

The difference between the wavelengths of scattered and incident light can be calculated using Compton scattering equation

**Δλ = h / (m * c) * (1 - cos(θ))**

Where,

h = 6.62607 x 10-34 J/S that is Planck constant

m is the mass of the particle

c is the speed of the light, i.e 299792458 m/s

θ is the angle between the directions of the scattered and incident rays.

**Example**

**Question: Let us calculate the wavelength extension of a photon which is scattered on a free electron by an angle of 80 degrees. Find the wavelength extension, if the mass is 9.15 x 10-31 kg.**

**Solution:**

Given that

Mass of the particle m = 9.15 x 10-31 kg

angle = 80 degrees

Wavelength extension Δλ = h / (m * c) * (1 - cos(θ))

= 6.62607 x 10-34/(9.15 x 10-31 x 299) x (1 - cos 80)

= 2.004 pm

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### FAQ's on Compton Scattering Calculator

**1. What is Compton Scattering?**

The scattering of photons from charged particles is known as the Compton scattering. When the charged particle transfers parts of its energy to a photon, then it is called inverse Compton scattering.

**2. How is Compton Scattering calculated?**

To find the Compton scattering wavelength, divide the constant by the product of mass and light speed. Multiply the result with 1 minus cos of the angle between the scattered and incident rays.

**3. What is the difference between the Compton effect and the photoelectric effect?**

Compton effect is caused by the inelastic scattering of high-energy photons and Arthur Compton explained it. The photoelectric effect is caused by the weakly bound electrons that are ejected from the surface of the material and it was explained by Albert Einstein. The wavelength of the scattered photons is more than the incident photon. While the wavelength is not observed in the photoelectric effect.

**4. What is the wavelength extension formula?**

The Compton scattering equation to find the wavelength extension is Δλ = h/(m x c)(1 - cos(θ)). Here m is the mass of the particle, θ is the angle between directions of scattered and incident rays.