Rotational Constant given Moment of Inertia Calculator

✖Rotational Constant given MI is defined for relating in energy and Rotational energy levels in diatomic molecules.ⓘ Rotational Constant given Moment of Inertia [B_MI]

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Formula

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Rotational Constant given Moment of Inertia

Formula

`"B"_{"MI"} = ("[h-]"^2)/(2*"I")`

Example

`"4.9E^-69m⁻¹"=("[h-]"^2)/(2*"1.125kg·m²")`

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Rotational Constant given Moment of Inertia Solution

STEP 0: Pre-Calculation Summary

Formula Used

Rotational Constant given MI = ([h-]^2)/(2*Moment of Inertia)
B_MI = ([h-]^2)/(2*I)
This formula uses 1 Constants, 2 Variables

Constants Used

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

Variables Used

Rotational Constant given MI - (Measured in 1 per Meter) - Rotational Constant given MI is defined for relating in energy and Rotational energy levels in diatomic molecules.
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

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

B_MI = ([h-]^2)/(2*I) --> ([h-]^2)/(2*1.125)

Evaluating ... ...

B_MI = 4.94276302954955E-69

STEP 3: Convert Result to Output's Unit

4.94276302954955E-69 1 per Meter --> No Conversion Required

FINAL ANSWER

4.94276302954955E-69 ≈ 4.9E-69 1 per Meter <-- Rotational Constant given MI

(Calculation completed in 00.004 seconds)

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Created by Nishant Sihag

Indian Institute of Technology (IIT), Delhi

Nishant Sihag has created this Calculator and 50+ more calculators!

Verified by Akshada Kulkarni

National Institute of Information Technology (NIIT), Neemrana

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Rotational Constant using Rotational Energy

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Rotational Constant using Wave number

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Energy of Rotational Transitions between Rotational Levels

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Rotational Constant using Energy of Transitions

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

Beta using Rotational Energy

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Rotational Constant given Moment of Inertia

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

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Rotational Energy using Centrifugal Distortion

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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 Constant given Moment of Inertia Formula

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

How to get Rotational constant?

Rotational constant is inversely proportional to moment of inertia. We have to divide square of reduced planks constant by twice of moment of inertia {(ℏ^2)/(2*I)}.

How to Calculate Rotational Constant given Moment of Inertia?

Rotational Constant given Moment of Inertia calculator uses Rotational Constant given MI = ([h-]^2)/(2*Moment of Inertia) to calculate the Rotational Constant given MI, The Rotational constant given Moment of Inertia formula is defined for relating in energy and Rotational energy levels in diatomic molecules. It is inversely proportional to moment of inertia. Rotational Constant given MI is denoted by B_MI symbol.

How to calculate Rotational Constant given Moment of Inertia using this online calculator? To use this online calculator for Rotational Constant given Moment of Inertia, enter Moment of Inertia (I) and hit the calculate button. Here is how the Rotational Constant given Moment of Inertia calculation can be explained with given input values -> 4.9E-69 = ([h-]^2)/(2*1.125).

FAQ

What is Rotational Constant given Moment of Inertia?

The Rotational constant given Moment of Inertia formula is defined for relating in energy and Rotational energy levels in diatomic molecules. It is inversely proportional to moment of inertia and is represented as B_MI = ([h-]^2)/(2*I) or Rotational Constant given MI = ([h-]^2)/(2*Moment of Inertia). Moment of Inertia is the measure of the resistance of a body to angular acceleration about a given axis.

How to calculate Rotational Constant given Moment of Inertia?

The Rotational constant given Moment of Inertia formula is defined for relating in energy and Rotational energy levels in diatomic molecules. It is inversely proportional to moment of inertia is calculated using Rotational Constant given MI = ([h-]^2)/(2*Moment of Inertia). To calculate Rotational Constant given Moment of Inertia, you need Moment of Inertia (I). With our tool, you need to enter the respective value for 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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