Rotational Energy Calculator

✖Beta in Schrodinger Equation is a constant related to rotational energy level.ⓘ Beta in Schrodinger Equation [β]			+10% -10%
✖Moment of Inertia is the measure of the resistance of a body to angular acceleration about a given axis.ⓘ Moment of Inertia [I]			+10% -10%

✖Energy for Rotation is energy of the rotational levels in the Rotational Spectroscopy of Diatomic Molecules.ⓘ Rotational Energy [E_rotational]

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Rotational Energy Solution

STEP 0: Pre-Calculation Summary

Formula Used

Energy for Rotation = ([h-]^2)*Beta in Schrodinger Equation/(2*Moment of Inertia)
E_rotational = ([h-]^2)*β/(2*I)
This formula uses 1 Constants, 3 Variables

Constants Used

[h-] - Reduced Planck constant Value Taken As 1.054571817E-34

Variables Used

Energy for Rotation - (Measured in Joule) - Energy for Rotation is energy of the rotational levels in the Rotational Spectroscopy of Diatomic Molecules.
Beta in Schrodinger Equation - Beta in Schrodinger Equation is a constant related to rotational energy level.
Moment of Inertia - (Measured in Kilogram Square Meter) - Moment of Inertia is the measure of the resistance of a body to angular acceleration about a given axis.

STEP 1: Convert Input(s) to Base Unit

Beta in Schrodinger Equation: 7 --> No Conversion Required
Moment of Inertia: 1.125 Kilogram Square Meter --> 1.125 Kilogram Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E_rotational = ([h-]^2)*β/(2*I) --> ([h-]^2)*7/(2*1.125)

Evaluating ... ...

E_rotational = 3.45993412068468E-68

STEP 3: Convert Result to Output's Unit

3.45993412068468E-68 Joule --> No Conversion Required

FINAL ANSWER

3.45993412068468E-68 ≈ 3.5E-68 Joule <-- Energy for Rotation

(Calculation completed in 00.020 seconds)

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Created by Nishant Sihag

Indian Institute of Technology (IIT), Delhi

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National Institute of Information Technology (NIIT), Neemrana

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< Rotational Energy Calculators

Rotational Energy using Centrifugal Distortion

LaTeX Go Rotational Energy given CD = (Rotational Constant*Rotational Level*(Rotational Level+1))-(Centrifugal Distortion Constant given RE*(Rotational Level^2)*((Rotational Level+1)^2))

Rotational Energy using Rotational Constant

LaTeX Go Rotational Energy given RC = Rotational Constant*Rotational Level*(Rotational Level+1)

Rotational Energy

LaTeX Go Energy for Rotation = ([h-]^2)*Beta in Schrodinger Equation/(2*Moment of Inertia)

Beta using Rotational Level

LaTeX Go Beta using Rotational Level = Rotational Level*(Rotational Level+1)

< Rotational Energy Calculators

Centrifugal Distortion Constant using Rotational Energy

LaTeX Go Centrifugal Distortion Constant given RE = (Rotational Energy-(Rotational Constant*Rotational Level*(Rotational Level+1)))/(Rotational Level^2)*((Rotational Level+1)^2)

Energy of Rotational Transitions between Rotational Levels

LaTeX Go Energy of Rotational Transitions between RL = 2*Rotational Constant*(Rotational Level+1)

Beta using Rotational Energy

LaTeX Go Beta using Rotational Energy = 2*Moment of Inertia*Rotational Energy/([h-]^2)

Beta using Rotational Level

LaTeX Go Beta using Rotational Level = Rotational Level*(Rotational Level+1)

Rotational Energy Formula

LaTeX Go

Energy for Rotation = ([h-]^2)*Beta in Schrodinger Equation/(2*Moment of Inertia)
E_rotational = ([h-]^2)*β/(2*I)

What is Rotational energy?

The rotational spectrum of a diatomic molecule consists of a series of equally spaced absorption lines, typically in the microwave region of the electromagnetic spectrum. The energy of these lines is called rotational energy.

How to Calculate Rotational Energy?

Rotational Energy calculator uses Energy for Rotation = ([h-]^2)*Beta in Schrodinger Equation/(2*Moment of Inertia) to calculate the Energy for Rotation, The Rotational energy formula is defined as energy of series of lines in rotational spectrum of a diatomic molecule. Diatomic molecules are often approximated as rigid rotors, meaning that the bond length is assumed to be fixed. Energy for Rotation is denoted by E_rotational symbol.

How to calculate Rotational Energy using this online calculator? To use this online calculator for Rotational Energy, enter Beta in Schrodinger Equation (β) & Moment of Inertia (I) and hit the calculate button. Here is how the Rotational Energy calculation can be explained with given input values -> 3.5E-68 = ([h-]^2)*7/(2*1.125).

FAQ

What is Rotational Energy?

The Rotational energy formula is defined as energy of series of lines in rotational spectrum of a diatomic molecule. Diatomic molecules are often approximated as rigid rotors, meaning that the bond length is assumed to be fixed and is represented as E_rotational = ([h-]^2)*β/(2*I) or Energy for Rotation = ([h-]^2)*Beta in Schrodinger Equation/(2*Moment of Inertia). Beta in Schrodinger Equation is a constant related to rotational energy level & Moment of Inertia is the measure of the resistance of a body to angular acceleration about a given axis.

How to calculate Rotational Energy?

The Rotational energy formula is defined as energy of series of lines in rotational spectrum of a diatomic molecule. Diatomic molecules are often approximated as rigid rotors, meaning that the bond length is assumed to be fixed is calculated using Energy for Rotation = ([h-]^2)*Beta in Schrodinger Equation/(2*Moment of Inertia). To calculate Rotational Energy, you need Beta in Schrodinger Equation (β) & Moment of Inertia (I). With our tool, you need to enter the respective value for Beta in Schrodinger Equation & Moment of Inertia 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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