Rotational Energy using Rotational Constant Solution

STEP 0: Pre-Calculation Summary
Formula Used
Rotational Energy given RC = Rotational Constant*Rotational Level*(Rotational Level+1)
Erot_RC = B*J*(J+1)
This formula uses 3 Variables
Variables Used
Rotational Energy given RC - (Measured in Joule) - Rotational Energy given RC 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 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
Erot_RC = B*J*(J+1) --> 60.8*4*(4+1)
Evaluating ... ...
Erot_RC = 1216
STEP 3: Convert Result to Output's Unit
1216 Joule --> No Conversion Required
FINAL ANSWER
1216 Joule <-- Rotational Energy given RC
(Calculation completed in 00.004 seconds)

Credits

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Created by Nishant Sihag
Indian Institute of Technology (IIT), Delhi
Nishant Sihag has created this Calculator and 50+ more calculators!
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Verified by Akshada Kulkarni
National Institute of Information Technology (NIIT), Neemrana
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Rotational Energy using Rotational Constant Formula

​LaTeX ​Go
Rotational Energy given RC = Rotational Constant*Rotational Level*(Rotational Level+1)
Erot_RC = B*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 Energy using Rotational Constant?

Rotational Energy using Rotational Constant calculator uses Rotational Energy given RC = Rotational Constant*Rotational Level*(Rotational Level+1) to calculate the Rotational Energy given RC, The Rotational energy using rotational constant 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. Solving the Schrodinger equation for a rigid rotor gives the following energy levels: E=BJ(J+1). Rotational Energy given RC is denoted by Erot_RC symbol.

How to calculate Rotational Energy using Rotational Constant using this online calculator? To use this online calculator for Rotational Energy using Rotational Constant, enter Rotational Constant (B) & Rotational Level (J) and hit the calculate button. Here is how the Rotational Energy using Rotational Constant calculation can be explained with given input values -> 1216 = 60.8*4*(4+1).

FAQ

What is Rotational Energy using Rotational Constant?
The Rotational energy using rotational constant 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. Solving the Schrodinger equation for a rigid rotor gives the following energy levels: E=BJ(J+1) and is represented as Erot_RC = B*J*(J+1) or Rotational Energy given RC = Rotational Constant*Rotational Level*(Rotational Level+1). 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 Rotational Energy using Rotational Constant?
The Rotational energy using rotational constant 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. Solving the Schrodinger equation for a rigid rotor gives the following energy levels: E=BJ(J+1) is calculated using Rotational Energy given RC = Rotational Constant*Rotational Level*(Rotational Level+1). To calculate Rotational Energy using Rotational Constant, you need Rotational Constant (B) & Rotational Level (J). With our tool, you need to enter the respective value for 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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