Rotational Constant using Energy of Transitions Calculator

✖The Energy of Rotational Transitions from J to J +1 formula is defined as energy of radiation absorbed to undergo an energy transition when a molecule is irradiated with photons of light.ⓘ Energy of Rotational Transitions [E_nu]			+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 ET is defined for relating in energy and Rotational energy levels in diatomic molecules.ⓘ Rotational Constant using Energy of Transitions [B_ET]

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Formula

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Rotational Constant using Energy of Transitions

Formula

`"B"_{"ET"} = "E"_{"nu"}/(2*("J"+1))`

Example

`"30m⁻¹"="300J"/(2*("4"+1))`

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Rotational Constant using Energy of Transitions Solution

STEP 0: Pre-Calculation Summary

Formula Used

Rotational Constant given ET = Energy of Rotational Transitions/(2*(Rotational Level+1))
B_ET = E_nu/(2*(J+1))
This formula uses 3 Variables

Variables Used

Rotational Constant given ET - (Measured in 1 per Meter) - Rotational Constant given ET is defined for relating in energy and Rotational energy levels in diatomic molecules.
Energy of Rotational Transitions - (Measured in Joule) - The Energy of Rotational Transitions from J to J +1 formula is defined as energy of radiation absorbed to undergo an energy transition when a molecule is irradiated with photons of light.
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

Energy of Rotational Transitions: 300 Joule --> 300 Joule No Conversion Required
Rotational Level: 4 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

B_ET = E_nu/(2*(J+1)) --> 300/(2*(4+1))

Evaluating ... ...

B_ET = 30

STEP 3: Convert Result to Output's Unit

30 1 per Meter --> No Conversion Required

FINAL ANSWER

30 1 per Meter <-- Rotational Constant given ET

(Calculation completed in 00.004 seconds)

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Created by Nishant Sihag

Indian Institute of Technology (IIT), Delhi

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Rotational Constant using Energy of Transitions

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Rotational Constant given Moment of Inertia

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Rotational Constant using Energy of Transitions Formula

Rotational Constant given ET = Energy of Rotational Transitions/(2*(Rotational Level+1))
B_ET = E_nu/(2*(J+1))

How to get Rotational constant using energy of transitions?

When a molecule is irradiated with photons of light it may absorb the radiation and undergo an energy transition. The energy of the transition must be equivalent to the energy of the photon of light absorbed given by: E=hν . For a diatomic molecule the energy difference between rotational levels (J to J+1) is Energy of rotational transitions from J to J +1. Thus Rotational constant is related to energy of rotational transitions. By the formula Delta_E= 2B(J+1).

How to Calculate Rotational Constant using Energy of Transitions?

Rotational Constant using Energy of Transitions calculator uses Rotational Constant given ET = Energy of Rotational Transitions/(2*(Rotational Level+1)) to calculate the Rotational Constant given ET, The Rotational constant using energy of transitions formula is defined as constant which can be used to relate energy levels to energy of rotational transitions. For a diatomic molecule the energy difference between rotational levels (J to J+1) is Energy of rotational transitions. Rotational Constant given ET is denoted by B_ET symbol.

How to calculate Rotational Constant using Energy of Transitions using this online calculator? To use this online calculator for Rotational Constant using Energy of Transitions, enter Energy of Rotational Transitions (E_nu) & Rotational Level (J) and hit the calculate button. Here is how the Rotational Constant using Energy of Transitions calculation can be explained with given input values -> 30 = 300/(2*(4+1)).

FAQ

What is Rotational Constant using Energy of Transitions?

The Rotational constant using energy of transitions formula is defined as constant which can be used to relate energy levels to energy of rotational transitions. For a diatomic molecule the energy difference between rotational levels (J to J+1) is Energy of rotational transitions and is represented as B_ET = E_nu/(2*(J+1)) or Rotational Constant given ET = Energy of Rotational Transitions/(2*(Rotational Level+1)). The Energy of Rotational Transitions from J to J +1 formula is defined as energy of radiation absorbed to undergo an energy transition when a molecule is irradiated with photons of light & 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 Energy of Transitions?

The Rotational constant using energy of transitions formula is defined as constant which can be used to relate energy levels to energy of rotational transitions. For a diatomic molecule the energy difference between rotational levels (J to J+1) is Energy of rotational transitions is calculated using Rotational Constant given ET = Energy of Rotational Transitions/(2*(Rotational Level+1)). To calculate Rotational Constant using Energy of Transitions, you need Energy of Rotational Transitions (E_nu) & Rotational Level (J). With our tool, you need to enter the respective value for Energy of Rotational Transitions & 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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