Rutherford Scattering Calculator

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Rutherford Scattering

Bohr's Atomic Model

Compton Effect

De Broglie Hypothesis

Distance of Closest Approach

Heisenberg's Uncertainty Principle

Important Formulas on Bohr's Atomic Model

Photo Electric Effect

Planck Quantum Theory

Schrodinger Wave Equation

Sommerfeld Model

Structure of Atom

✖Rutherford Scattering Constant is the constant value for scattering experiment.ⓘ Rutherford Scattering Constant [κ]			+10% -10%
✖Scattering Angle is the angle through which a scattered particle or beam is deflected.ⓘ Scattering Angle [θ]			+10% -10%

✖Number of Particles Deflected is the number of particles which does not strike the thin gold foil in Rutherford's experiment.ⓘ Rutherford Scattering [N]

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Formula

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Rutherford Scattering

Formula

`"N" = "κ"/(sin("θ"/2))^4`

Example

`"3.236"="0.809"/(sin("90°"/2))^4`

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Rutherford Scattering Solution

STEP 0: Pre-Calculation Summary

Formula Used

Number of Particles Deflected = Rutherford Scattering Constant/(sin(Scattering Angle/2))^4
N = κ/(sin(θ/2))^4
This formula uses 1 Functions, 3 Variables

Functions Used

sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)

Variables Used

Number of Particles Deflected - Number of Particles Deflected is the number of particles which does not strike the thin gold foil in Rutherford's experiment.
Rutherford Scattering Constant - Rutherford Scattering Constant is the constant value for scattering experiment.
Scattering Angle - (Measured in Radian) - Scattering Angle is the angle through which a scattered particle or beam is deflected.

STEP 1: Convert Input(s) to Base Unit

Rutherford Scattering Constant: 0.809 --> No Conversion Required
Scattering Angle: 90 Degree --> 1.5707963267946 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

N = κ/(sin(θ/2))^4 --> 0.809/(sin(1.5707963267946/2))^4

Evaluating ... ...

N = 3.23600000000192

STEP 3: Convert Result to Output's Unit

3.23600000000192 --> No Conversion Required

FINAL ANSWER

3.23600000000192 ≈ 3.236 <-- Number of Particles Deflected

(Calculation completed in 00.004 seconds)

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National Institute of Technology, Manipur (NIT Manipur), Imphal, Manipur

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< 1 Rutherford Scattering Calculators

Rutherford Scattering

Go Number of Particles Deflected = Rutherford Scattering Constant/(sin(Scattering Angle/2))^4

Rutherford Scattering Formula

Number of Particles Deflected = Rutherford Scattering Constant/(sin(Scattering Angle/2))^4
N = κ/(sin(θ/2))^4

What is Rutherford's Scattering Experiment?

Rutherford’s experiment consisted of bombarding a very thin foil with monoenergetic alpha (α) particles (doubly ionized helium nuclei). Rutherford found that a small percentage of α particles were deflected as much as 180 degrees. The only way to explain such deflections was to assume that the positive charge and virtually all of the atom’s mass was highly concentrated at the center of the atoms in the foil. Only a high concentration of charge would produce the necessary coulomb force for the observed large angle scattering to occur.

How to Calculate Rutherford Scattering?

Rutherford Scattering calculator uses Number of Particles Deflected = Rutherford Scattering Constant/(sin(Scattering Angle/2))^4 to calculate the Number of Particles Deflected, The Rutherford Scattering formula is defined as the number of particles that would be deflected by an angle θ due to scattering from fixed nuclei. Number of Particles Deflected is denoted by N symbol.

How to calculate Rutherford Scattering using this online calculator? To use this online calculator for Rutherford Scattering, enter Rutherford Scattering Constant (κ) & Scattering Angle (θ) and hit the calculate button. Here is how the Rutherford Scattering calculation can be explained with given input values -> 3.236 = 0.809/(sin(1.5707963267946/2))^4.

FAQ

What is Rutherford Scattering?

The Rutherford Scattering formula is defined as the number of particles that would be deflected by an angle θ due to scattering from fixed nuclei and is represented as N = κ/(sin(θ/2))^4 or Number of Particles Deflected = Rutherford Scattering Constant/(sin(Scattering Angle/2))^4. Rutherford Scattering Constant is the constant value for scattering experiment & Scattering Angle is the angle through which a scattered particle or beam is deflected.

How to calculate Rutherford Scattering?

The Rutherford Scattering formula is defined as the number of particles that would be deflected by an angle θ due to scattering from fixed nuclei is calculated using Number of Particles Deflected = Rutherford Scattering Constant/(sin(Scattering Angle/2))^4. To calculate Rutherford Scattering, you need Rutherford Scattering Constant (κ) & Scattering Angle (θ). With our tool, you need to enter the respective value for Rutherford Scattering Constant & Scattering Angle 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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