Centrifugal Distortion Constant using Rotational Energy Calculator

✖Rotational Energy is energy of the rotational levels in the Rotational Spectroscopy of Diatomic Molecules.ⓘ Rotational Energy [E_rot]			+10% -10%
✖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 using Rotational Energy [DC_j]

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Formula

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Centrifugal Distortion Constant using Rotational Energy

Formula

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

Example

`"-1665.625"=("150J"-("60.8m⁻¹"*"4"*("4"+1)))/(("4")^2)*(("4"+1)^2)`

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Centrifugal Distortion Constant using Rotational Energy Solution

STEP 0: Pre-Calculation Summary

Formula Used

Centrifugal Distortion Constant given RE = (Rotational Energy-(Rotational Constant*Rotational Level*(Rotational Level+1)))/(Rotational Level^2)*((Rotational Level+1)^2)
DC_j = (E_rot-(B*J*(J+1)))/(J^2)*((J+1)^2)
This formula uses 4 Variables

Variables Used

Centrifugal Distortion Constant given RE - The Centrifugal Distortion Constant given RE is several orders of magnitude smaller than the rotational constant, B.
Rotational Energy - (Measured in Joule) - Rotational Energy 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 Energy: 150 Joule --> 150 Joule No Conversion Required
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

DC_j = (E_rot-(B*J*(J+1)))/(J^2)*((J+1)^2) --> (150-(60.8*4*(4+1)))/(4^2)*((4+1)^2)

Evaluating ... ...

DC_j = -1665.625

STEP 3: Convert Result to Output's Unit

-1665.625 --> No Conversion Required

FINAL ANSWER

-1665.625 <-- Centrifugal Distortion Constant given RE

(Calculation completed in 00.004 seconds)

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Centrifugal Distortion Constant using Rotational Energy 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 Centrifugal Distortion Constant using Rotational Energy?

Centrifugal Distortion Constant using Rotational Energy calculator uses Centrifugal Distortion Constant given RE = (Rotational Energy-(Rotational Constant*Rotational Level*(Rotational Level+1)))/(Rotational Level^2)*((Rotational Level+1)^2) to calculate the Centrifugal Distortion Constant given RE, The Centrifugal Distortion Constant using rotational energy in a diatomic molecule is the effect of the distortion is to stretch the bond, lengthening it and increasing the moment of inertia. Centrifugal Distortion Constant given RE is denoted by DC_j symbol.

How to calculate Centrifugal Distortion Constant using Rotational Energy using this online calculator? To use this online calculator for Centrifugal Distortion Constant using Rotational Energy, enter Rotational Energy (E_rot), Rotational Constant (B) & Rotational Level (J) and hit the calculate button. Here is how the Centrifugal Distortion Constant using Rotational Energy calculation can be explained with given input values -> -1665.625 = (150-(60.8*4*(4+1)))/(4^2)*((4+1)^2).

FAQ

What is Centrifugal Distortion Constant using Rotational Energy?

The Centrifugal Distortion Constant using rotational energy in a diatomic molecule is the effect of the distortion is to stretch the bond, lengthening it and increasing the moment of inertia and is represented as DC_j = (E_rot-(B*J*(J+1)))/(J^2)*((J+1)^2) or Centrifugal Distortion Constant given RE = (Rotational Energy-(Rotational Constant*Rotational Level*(Rotational Level+1)))/(Rotational Level^2)*((Rotational Level+1)^2). Rotational Energy is energy of the rotational levels in the Rotational Spectroscopy of Diatomic Molecules, 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 Centrifugal Distortion Constant using Rotational Energy?

The Centrifugal Distortion Constant using rotational energy in a diatomic molecule is the effect of the distortion is to stretch the bond, lengthening it and increasing the moment of inertia is calculated using Centrifugal Distortion Constant given RE = (Rotational Energy-(Rotational Constant*Rotational Level*(Rotational Level+1)))/(Rotational Level^2)*((Rotational Level+1)^2). To calculate Centrifugal Distortion Constant using Rotational Energy, you need Rotational Energy (E_rot), Rotational Constant (B) & Rotational Level (J). With our tool, you need to enter the respective value for Rotational Energy, 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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