Rotational Energy using Centrifugal Distortion 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%
✖The Centrifugal Distortion Constant given RE is several orders of magnitude smaller than the rotational constant, B.ⓘ Centrifugal Distortion Constant given RE [DC_j]			+10% -10%

✖Rotational Energy given CD is energy of the rotational levels in the Rotational Spectroscopy of Diatomic Molecules.ⓘ Rotational Energy using Centrifugal Distortion [E_{rot_CD}]

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Formula

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Rotational Energy using Centrifugal Distortion

Formula

`"E"_{"rot_CD"} = ("B"*"J"*("J"+1))-("DC"_{"j"}*("J"^2)*(("J"+1)^2))`

Example

`"667616J"=("60.8m⁻¹"*"4"*("4"+1))-("-1666"*(("4")^2)*(("4"+1)^2))`

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Rotational Energy using Centrifugal Distortion Solution

STEP 0: Pre-Calculation Summary

Formula Used

Rotational Energy given CD = (Rotational Constant*Rotational Level*(Rotational Level+1))-(Centrifugal Distortion Constant given RE*(Rotational Level^2)*((Rotational Level+1)^2))
E_{rot_CD} = (B*J*(J+1))-(DC_j*(J^2)*((J+1)^2))
This formula uses 4 Variables

Variables Used

Rotational Energy given CD - (Measured in Joule) - Rotational Energy given CD 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...).
Centrifugal Distortion Constant given RE - The Centrifugal Distortion Constant given RE is several orders of magnitude smaller than the rotational constant, B.

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
Centrifugal Distortion Constant given RE: -1666 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E_{rot_CD} = (B*J*(J+1))-(DC_j*(J^2)*((J+1)^2)) --> (60.8*4*(4+1))-((-1666)*(4^2)*((4+1)^2))

Evaluating ... ...

E_{rot_CD} = 667616

STEP 3: Convert Result to Output's Unit

667616 Joule --> No Conversion Required

FINAL ANSWER

667616 Joule <-- Rotational Energy given CD

(Calculation completed in 00.004 seconds)

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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 Centrifugal Distortion Formula

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.
As molecules are excited to higher rotational energies they spin at a faster rate. The faster rate of spin increases the centrifugal force pushing outward on the molecules resulting in a longer average bond length. Looking back, B and l are inversely related. Therefore the addition of centrifugal distortion at higher rotational levels decreases the spacing between rotational levels.

How to Calculate Rotational Energy using Centrifugal Distortion?

Rotational Energy using Centrifugal Distortion calculator uses Rotational Energy given CD = (Rotational Constant*Rotational Level*(Rotational Level+1))-(Centrifugal Distortion Constant given RE*(Rotational Level^2)*((Rotational Level+1)^2)) to calculate the Rotational Energy given CD, The Rotational energy using centrifugal distortion 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. Rotational Energy given CD is denoted by E_{rot_CD} symbol.

How to calculate Rotational Energy using Centrifugal Distortion using this online calculator? To use this online calculator for Rotational Energy using Centrifugal Distortion, enter Rotational Constant (B), Rotational Level (J) & Centrifugal Distortion Constant given RE (DC_j) and hit the calculate button. Here is how the Rotational Energy using Centrifugal Distortion calculation can be explained with given input values -> 667616 = (60.8*4*(4+1))-((-1666)*(4^2)*((4+1)^2)).

FAQ

What is Rotational Energy using Centrifugal Distortion?

The Rotational energy using centrifugal distortion 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_{rot_CD} = (B*J*(J+1))-(DC_j*(J^2)*((J+1)^2)) or Rotational Energy given CD = (Rotational Constant*Rotational Level*(Rotational Level+1))-(Centrifugal Distortion Constant given RE*(Rotational Level^2)*((Rotational Level+1)^2)). 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...) & The Centrifugal Distortion Constant given RE is several orders of magnitude smaller than the rotational constant, B.

How to calculate Rotational Energy using Centrifugal Distortion?

The Rotational energy using centrifugal distortion 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 Rotational Energy given CD = (Rotational Constant*Rotational Level*(Rotational Level+1))-(Centrifugal Distortion Constant given RE*(Rotational Level^2)*((Rotational Level+1)^2)). To calculate Rotational Energy using Centrifugal Distortion, you need Rotational Constant (B), Rotational Level (J) & Centrifugal Distortion Constant given RE (DC_j). With our tool, you need to enter the respective value for Rotational Constant, Rotational Level & Centrifugal Distortion Constant given RE 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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