Compton Shift given Wavelength Calculator

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Compton Effect

Bohr's Atomic Model

De Broglie Hypothesis

Distance of Closest Approach

Heisenberg's Uncertainty Principle

Important Formulas on Bohr's Atomic Model

Photo Electric Effect

Planck Quantum Theory

Rutherford Scattering

Schrodinger Wave Equation

Sommerfeld Model

Structure of Atom

✖Compton Wavelength is a quantum mechanical property of a particle.ⓘ Compton Wavelength [λ_c]			+10% -10%
✖Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint.ⓘ Theta [θ]			+10% -10%

✖Compton Shift is the separation of the two peaks which depends on the scattering angle,θ of the outgoing beam.ⓘ Compton Shift given Wavelength [Δλ]

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Formula

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Compton Shift given Wavelength

Formula

`"Δλ" = "λ"_{"c"}*(1-cos("θ"))`

Example

`"0.325558Compton Wavelength"="2.43Compton Wavelength"*(1-cos("30°"))`

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Compton Shift given Wavelength Solution

STEP 0: Pre-Calculation Summary

Formula Used

Compton Shift = Compton Wavelength*(1-cos(Theta))
Δλ = λ_c*(1-cos(θ))
This formula uses 1 Functions, 3 Variables

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)

Variables Used

Compton Shift - (Measured in Meter) - Compton Shift is the separation of the two peaks which depends on the scattering angle,θ of the outgoing beam.
Compton Wavelength - (Measured in Meter) - Compton Wavelength is a quantum mechanical property of a particle.
Theta - (Measured in Radian) - Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint.

STEP 1: Convert Input(s) to Base Unit

Compton Wavelength: 2.43 Electron Compton Wavelength --> 5.89593470939987E-12 Meter (Check conversion here)
Theta: 30 Degree --> 0.5235987755982 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Δλ = λ_c*(1-cos(θ)) --> 5.89593470939987E-12*(1-cos(0.5235987755982))

Evaluating ... ...

Δλ = 7.89905472005161E-13

STEP 3: Convert Result to Output's Unit

7.89905472005161E-13 Meter -->0.325558268803814 Electron Compton Wavelength (Check conversion here)

FINAL ANSWER

0.325558268803814 ≈ 0.325558 Electron Compton Wavelength <-- Compton Shift

(Calculation completed in 00.004 seconds)

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Credits

Created by Akshada Kulkarni

National Institute of Information Technology (NIIT), Neemrana

Akshada Kulkarni has created this Calculator and 500+ more calculators!

Verified by Suman Ray Pramanik

Indian Institute of Technology (IIT), Kanpur

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< 6 Compton Effect Calculators

Compton Wavelength of Electron

Go Compton Wavelength of an Electron = [hP]/(Rest Mass of Electron*[c])

Compton Shift

Go Compton Shift of an Atom = Wavelength of Scattered Beam-Wavelength of incident beam

Compton Wavelength given Compton Shift

Go Compton Wavelength = Compton Shift/(1-cos(Theta))

Compton Shift given Wavelength

Go Compton Shift = Compton Wavelength*(1-cos(Theta))

Wavelength of Scattered Beam given Compton Shift

Go Wavelength of Scattered Beam = Compton Shift+Wavelength of incident beam

Wavelength of Incident Beam given Compton Shift

Go Wavelength of incident beam = Wavelength of Scattered Beam-Compton Shift

Compton Shift given Wavelength Formula

Compton Shift = Compton Wavelength*(1-cos(Theta))
Δλ = λ_c*(1-cos(θ))

What is Compton shift?

The Compton effect is the term used for an unusual result observed when X-rays are scattered on some materials. By classical theory, when an electromagnetic wave is scattered off atoms, the wavelength of the scattered radiation is expected to be the same as the wavelength of the incident radiation.

How to Calculate Compton Shift given Wavelength?

Compton Shift given Wavelength calculator uses Compton Shift = Compton Wavelength*(1-cos(Theta)) to calculate the Compton Shift, The Compton Shift given Wavelength is the separation of the two peaks which depends on the scattering angle,θ of the outgoing beam. Compton Shift is denoted by Δλ symbol.

How to calculate Compton Shift given Wavelength using this online calculator? To use this online calculator for Compton Shift given Wavelength, enter Compton Wavelength (λ_c) & Theta (θ) and hit the calculate button. Here is how the Compton Shift given Wavelength calculation can be explained with given input values -> 1.3E+11 = 5.89593470939987E-12*(1-cos(0.5235987755982)).

FAQ

What is Compton Shift given Wavelength?

The Compton Shift given Wavelength is the separation of the two peaks which depends on the scattering angle,θ of the outgoing beam and is represented as Δλ = λ_c*(1-cos(θ)) or Compton Shift = Compton Wavelength*(1-cos(Theta)). Compton Wavelength is a quantum mechanical property of a particle & Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint.

How to calculate Compton Shift given Wavelength?

The Compton Shift given Wavelength is the separation of the two peaks which depends on the scattering angle,θ of the outgoing beam is calculated using Compton Shift = Compton Wavelength*(1-cos(Theta)). To calculate Compton Shift given Wavelength, you need Compton Wavelength (λ_c) & Theta (θ). With our tool, you need to enter the respective value for Compton Wavelength & Theta and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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