Rotational Constant using Rotational Energy Solution

STEP 0: Pre-Calculation Summary
Formula Used
Rotational Constant given RE = Rotational Energy/(Rotational Level*(Rotational Level+1))
BRE = Erot/(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
BRE = Erot/(J*(J+1)) --> 150/(4*(4+1))
Evaluating ... ...
BRE = 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 00.004 seconds)

Credits

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
Akshada Kulkarni has verified this Calculator and 900+ more calculators!

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)

Rotational Constant using Rotational Energy Formula

Rotational Constant given RE = Rotational Energy/(Rotational Level*(Rotational Level+1))
BRE = Erot/(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 BRE 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 (Erot) & 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 BRE = Erot/(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 (Erot) & 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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