Rotational 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 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 Constant given RE is defined for relating in energy and Rotational energy levels in diatomic molecules.ⓘ Rotational Constant using Rotational Energy [B_RE]

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Rotational Constant using Rotational Energy Solution

STEP 0: Pre-Calculation Summary

Formula Used

Rotational Constant given RE = Rotational Energy/(Rotational Level*(Rotational Level+1))
B_RE = E_rot/(J*(J+1))
This formula uses 3 Variables

Variables Used

Rotational Constant given RE - (Measured in 1 per Meter) - Rotational Constant given RE is defined for relating in energy and Rotational energy levels in diatomic molecules.
Rotational Energy - (Measured in Joule) - Rotational Energy is energy of the rotational levels in the Rotational Spectroscopy of 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 Level: 4 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

B_RE = E_rot/(J*(J+1)) --> 150/(4*(4+1))

Evaluating ... ...

B_RE = 7.5

STEP 3: Convert Result to Output's Unit

7.5 1 per Meter --> No Conversion Required

FINAL ANSWER

7.5 1 per Meter <-- Rotational Constant given RE

(Calculation completed in 00.020 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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Rotational Constant using Rotational Energy Formula

LaTeX Go

Rotational Constant given RE = Rotational Energy/(Rotational Level*(Rotational Level+1))
B_RE = E_rot/(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 Constant using Rotational Energy?

Rotational Constant using Rotational Energy calculator uses Rotational Constant given RE = Rotational Energy/(Rotational Level*(Rotational Level+1)) to calculate the Rotational Constant given RE, The Rotational Constant using Rotational Energy formula is defined as related constant to 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 Constant given RE is denoted by B_RE symbol.

How to calculate Rotational Constant using Rotational Energy using this online calculator? To use this online calculator for Rotational Constant using Rotational Energy, enter Rotational Energy (E_rot) & Rotational Level (J) and hit the calculate button. Here is how the Rotational Constant using Rotational Energy calculation can be explained with given input values -> 7.5 = 150/(4*(4+1)).

FAQ

What is Rotational Constant using Rotational Energy?

The Rotational Constant using Rotational Energy formula is defined as related constant to 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 B_RE = E_rot/(J*(J+1)) or Rotational Constant given RE = Rotational Energy/(Rotational Level*(Rotational Level+1)). Rotational Energy is energy of the rotational levels in the Rotational Spectroscopy of 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 Constant using Rotational Energy?

The Rotational Constant using Rotational Energy formula is defined as related constant to 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 Constant given RE = Rotational Energy/(Rotational Level*(Rotational Level+1)). To calculate Rotational Constant using Rotational Energy, you need Rotational Energy (E_rot) & Rotational Level (J). With our tool, you need to enter the respective value for Rotational Energy & 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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