Beta using Rotational Level Calculator

✖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]

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✖Beta using Rotational Level is a constant related to rotational energy level.ⓘ Beta using Rotational Level [β_levels]

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Formula

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Beta using Rotational Level

Formula

`"β"_{"levels"} = "J"*("J"+1)`

Example

`"20"="4"*("4"+1)`

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Beta using Rotational Level Solution

STEP 0: Pre-Calculation Summary

Formula Used

Beta using Rotational Level = Rotational Level*(Rotational Level+1)
β_levels = J*(J+1)
This formula uses 2 Variables

Variables Used

Beta using Rotational Level - Beta using Rotational Level is a constant related to rotational energy level.
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 Level: 4 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

β_levels = J*(J+1) --> 4*(4+1)

Evaluating ... ...

β_levels = 20

STEP 3: Convert Result to Output's Unit

20 --> No Conversion Required

FINAL ANSWER

20 <-- Beta using Rotational Level

(Calculation completed in 00.004 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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< 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)

Beta using Rotational Level Formula

Beta using Rotational Level = Rotational Level*(Rotational Level+1)
β_levels = J*(J+1)

What is Rotational energy and rotational level?

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. And these equally spaced absorption lines represent rotational level.

How to Calculate Beta using Rotational Level?

Beta using Rotational Level calculator uses Beta using Rotational Level = Rotational Level*(Rotational Level+1) to calculate the Beta using Rotational Level, The Beta using Rotational Level formula is used to get constant related to energy level which we get for solving Schrödinger Equation. Beta using Rotational Level is denoted by β_levels symbol.

How to calculate Beta using Rotational Level using this online calculator? To use this online calculator for Beta using Rotational Level, enter Rotational Level (J) and hit the calculate button. Here is how the Beta using Rotational Level calculation can be explained with given input values -> 20 = 4*(4+1).

FAQ

What is Beta using Rotational Level?

The Beta using Rotational Level formula is used to get constant related to energy level which we get for solving Schrödinger Equation and is represented as β_levels = J*(J+1) or Beta using Rotational Level = Rotational Level*(Rotational Level+1). 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 Beta using Rotational Level?

The Beta using Rotational Level formula is used to get constant related to energy level which we get for solving Schrödinger Equation is calculated using Beta using Rotational Level = Rotational Level*(Rotational Level+1). To calculate Beta using Rotational Level, you need Rotational Level (J). With our tool, you need to enter the respective value for 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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