Rotational Energy using Rotational Constant Calculator

✖Rotational Constant is defined for relating in energy and Rotational energy levels in diatomic molecules.ⓘ Rotational Constant [B]			+10% -10%
✖Rotational Level is numerical value of the level of rotational energy in Rotational Spectroscopy of Diatomic Molecules ( it takes numerical values as 0,1,2,3,4...).ⓘ Rotational Level [J]			+10% -10%

✖Rotational Energy given RC is energy of the rotational levels in the Rotational Spectroscopy of Diatomic Molecules.ⓘ Rotational Energy using Rotational Constant [E_{rot_RC}]

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Formula

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Rotational Energy using Rotational Constant

Formula

`"E"_{"rot_RC"} = "B"*"J"*("J"+1)`

Example

`"1216J"="60.8m⁻¹"*"4"*("4"+1)`

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Rotational Energy using Rotational Constant Solution

STEP 0: Pre-Calculation Summary

Formula Used

Rotational Energy given RC = Rotational Constant*Rotational Level*(Rotational Level+1)
E_{rot_RC} = B*J*(J+1)
This formula uses 3 Variables

Variables Used

Rotational Energy given RC - (Measured in Joule) - Rotational Energy given RC is energy of the rotational levels in the Rotational Spectroscopy of Diatomic Molecules.
Rotational Constant - (Measured in 1 per Meter) - Rotational Constant is defined for relating in energy and Rotational energy levels in diatomic molecules.
Rotational Level - Rotational Level is numerical value of the level of rotational energy in Rotational Spectroscopy of Diatomic Molecules ( it takes numerical values as 0,1,2,3,4...).

STEP 1: Convert Input(s) to Base Unit

Rotational Constant: 60.8 1 per Meter --> 60.8 1 per Meter No Conversion Required
Rotational Level: 4 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E_{rot_RC} = B*J*(J+1) --> 60.8*4*(4+1)

Evaluating ... ...

E_{rot_RC} = 1216

STEP 3: Convert Result to Output's Unit

1216 Joule --> No Conversion Required

FINAL ANSWER

1216 Joule <-- Rotational Energy given RC

(Calculation completed in 00.004 seconds)

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Created by Nishant Sihag

Indian Institute of Technology (IIT), Delhi

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Verified by Akshada Kulkarni

National Institute of Information Technology (NIIT), Neemrana

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< 11 Rotational Energy Calculators

Rotational Energy using Centrifugal Distortion

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

Centrifugal Distortion Constant using Rotational Energy

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

Rotational Constant using Rotational Energy

Go Rotational Constant given RE = Rotational Energy/(Rotational Level*(Rotational Level+1))

Rotational Energy using Rotational Constant

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

Rotational Constant using Wave number

Go Rotational Constant given Wave Number = Wave Number in Spectroscopy*[hP]*[c]

Energy of Rotational Transitions between Rotational Levels

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

Rotational Constant using Energy of Transitions

Go Rotational Constant given ET = Energy of Rotational Transitions/(2*(Rotational Level+1))

Rotational Energy

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

Beta using Rotational Energy

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

Beta using Rotational Level

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

Rotational Constant given Moment of Inertia

Go Rotational Constant given MI = ([h-]^2)/(2*Moment of Inertia)

< 11 Rotational Energy Calculators

Rotational Energy using Centrifugal Distortion

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

Centrifugal Distortion Constant using Rotational Energy

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

Rotational Constant using Rotational Energy

Go Rotational Constant given RE = Rotational Energy/(Rotational Level*(Rotational Level+1))

Rotational Energy using Rotational Constant

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

Rotational Constant using Wave number

Go Rotational Constant given Wave Number = Wave Number in Spectroscopy*[hP]*[c]

Energy of Rotational Transitions between Rotational Levels

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

Rotational Constant using Energy of Transitions

Go Rotational Constant given ET = Energy of Rotational Transitions/(2*(Rotational Level+1))

Rotational Energy

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

Beta using Rotational Energy

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

Beta using Rotational Level

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

Rotational Constant given Moment of Inertia

Go Rotational Constant given MI = ([h-]^2)/(2*Moment of Inertia)

Rotational Energy using Rotational Constant Formula

Rotational Energy given RC = Rotational Constant*Rotational Level*(Rotational Level+1)
E_{rot_RC} = B*J*(J+1)

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 using Rotational Constant?

Rotational Energy using Rotational Constant calculator uses Rotational Energy given RC = Rotational Constant*Rotational Level*(Rotational Level+1) to calculate the Rotational Energy given RC, The Rotational energy using rotational constant 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. Solving the Schrodinger equation for a rigid rotor gives the following energy levels: E=BJ(J+1). Rotational Energy given RC is denoted by E_{rot_RC} symbol.

How to calculate Rotational Energy using Rotational Constant using this online calculator? To use this online calculator for Rotational Energy using Rotational Constant, enter Rotational Constant (B) & Rotational Level (J) and hit the calculate button. Here is how the Rotational Energy using Rotational Constant calculation can be explained with given input values -> 1216 = 60.8*4*(4+1).

FAQ

What is Rotational Energy using Rotational Constant?

The Rotational energy using rotational constant 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. Solving the Schrodinger equation for a rigid rotor gives the following energy levels: E=BJ(J+1) and is represented as E_{rot_RC} = B*J*(J+1) or Rotational Energy given RC = Rotational Constant*Rotational Level*(Rotational Level+1). Rotational Constant is defined for relating in energy and Rotational energy levels in diatomic molecules & Rotational Level is numerical value of the level of rotational energy in Rotational Spectroscopy of Diatomic Molecules ( it takes numerical values as 0,1,2,3,4...).

How to calculate Rotational Energy using Rotational Constant?

The Rotational energy using rotational constant 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. Solving the Schrodinger equation for a rigid rotor gives the following energy levels: E=BJ(J+1) is calculated using Rotational Energy given RC = Rotational Constant*Rotational Level*(Rotational Level+1). To calculate Rotational Energy using Rotational Constant, you need Rotational Constant (B) & Rotational Level (J). With our tool, you need to enter the respective value for Rotational Constant & Rotational Level 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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