Rotational Constant using Rotational Energy Formula

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Rotational Constant given RE is defined for relating in energy and Rotational energy levels in diatomic molecules. Check FAQs
BRE=ErotJ(J+1)
BRE - Rotational Constant given RE?Erot - Rotational Energy?J - Rotational Level?

Rotational Constant using Rotational Energy Example

With values
With units
Only example

Here is how the Rotational Constant using Rotational Energy equation looks like with Values.

Here is how the Rotational Constant using Rotational Energy equation looks like with Units.

Here is how the Rotational Constant using Rotational Energy equation looks like.

7.5Edit=150Edit4Edit(4Edit+1)
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Rotational Constant using Rotational Energy Solution

Follow our step by step solution on how to calculate Rotational Constant using Rotational Energy?

FIRST Step Consider the formula
BRE=ErotJ(J+1)
Next Step Substitute values of Variables
BRE=150J4(4+1)
Next Step Prepare to Evaluate
BRE=1504(4+1)
LAST Step Evaluate
BRE=7.5m⁻¹

Rotational Constant using Rotational Energy Formula Elements

Variables
Rotational Constant given RE
Rotational Constant given RE is defined for relating in energy and Rotational energy levels in diatomic molecules.
Symbol: BRE
Measurement: Reciprocal LengthUnit: m⁻¹
Note: Value can be positive or negative.
Rotational Energy
Rotational Energy is energy of the rotational levels in the Rotational Spectroscopy of Diatomic Molecules.
Symbol: Erot
Measurement: EnergyUnit: J
Note: Value can be positive or negative.
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...).
Symbol: J
Measurement: NAUnit: Unitless
Note: Value can be positive or negative.

Other formulas in Rotational Energy category

​Go Beta using Rotational Level
βlevels=J(J+1)
​Go Beta using Rotational Energy
βenergy=2IErot[h-]2
​Go Centrifugal Distortion Constant using Rotational Energy
DCj=Erot-(BJ(J+1))J2((J+1)2)
​Go Energy of Rotational Transitions between Rotational Levels
ERL=2B(J+1)

How to Evaluate Rotational Constant using Rotational Energy?

Rotational Constant using Rotational Energy evaluator uses Rotational Constant given RE = Rotational Energy/(Rotational Level*(Rotational Level+1)) to evaluate 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 evaluate Rotational Constant using Rotational Energy using this online evaluator? To use this online evaluator for Rotational Constant using Rotational Energy, enter Rotational Energy (Erot) & Rotational Level (J) and hit the calculate button.

FAQs on Rotational Constant using Rotational Energy

What is the formula to find Rotational Constant using Rotational Energy?
The formula of Rotational Constant using Rotational Energy is expressed as Rotational Constant given RE = Rotational Energy/(Rotational Level*(Rotational Level+1)). Here is an example- 7.5 = 150/(4*(4+1)).
How to calculate Rotational Constant using Rotational Energy?
With Rotational Energy (Erot) & Rotational Level (J) we can find Rotational Constant using Rotational Energy using the formula - Rotational Constant given RE = Rotational Energy/(Rotational Level*(Rotational Level+1)).
Can the Rotational Constant using Rotational Energy be negative?
Yes, the Rotational Constant using Rotational Energy, measured in Reciprocal Length can be negative.
Which unit is used to measure Rotational Constant using Rotational Energy?
Rotational Constant using Rotational Energy is usually measured using the 1 per Meter[m⁻¹] for Reciprocal Length. 1 per Kilometer[m⁻¹], 1 per Mile[m⁻¹], 1 per Yard[m⁻¹] are the few other units in which Rotational Constant using Rotational Energy can be measured.
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