Rotational Constant using Wave number Solution

STEP 0: Pre-Calculation Summary
Formula Used
Rotational Constant given Wave Number = Wave Number in Spectroscopy*[hP]*[c]
Bwave_no = B~*[hP]*[c]
This formula uses 2 Constants, 2 Variables
Constants Used
[hP] - Planck constant Value Taken As 6.626070040E-34
[c] - Light speed in vacuum Value Taken As 299792458.0
Variables Used
Rotational Constant given Wave Number - (Measured in 1 per Meter) - Rotational Constant given Wave Number is defined for relating in energy and Rotational energy levels in diatomic molecules.
Wave Number in Spectroscopy - (Measured in Diopter) - Wave Number in Spectroscopy, it is customary to represent energy in wavenumbers.
STEP 1: Convert Input(s) to Base Unit
Wave Number in Spectroscopy: 2500 1 per Meter --> 2500 Diopter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Bwave_no = B~*[hP]*[c] --> 2500*[hP]*[c]
Evaluating ... ...
Bwave_no = 4.9661145604294E-22
STEP 3: Convert Result to Output's Unit
4.9661145604294E-22 1 per Meter --> No Conversion Required
FINAL ANSWER
4.9661145604294E-22 5E-22 1 per Meter <-- Rotational Constant given Wave Number
(Calculation completed in 00.020 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 Wave number Formula

Rotational Constant given Wave Number = Wave Number in Spectroscopy*[hP]*[c]
Bwave_no = B~*[hP]*[c]

How do we get relation between Rotational and wave number?

The Rotational constant is used for relating energy and Rotational energy levels in diatomic molecules. It is inversely proportional to moment of inertia. In spectroscopy rotational energy is represented in wave numbers. So we get relation between them.

How to Calculate Rotational Constant using Wave number?

Rotational Constant using Wave number calculator uses Rotational Constant given Wave Number = Wave Number in Spectroscopy*[hP]*[c] to calculate the Rotational Constant given Wave Number, The Rotational Constant using Wave number formula is defined for relating in energy and Rotational energy levels in diatomic molecules. It is inversely proportional to moment of inertia.In spectroscopy rotational energy is represented in wave numbers. Rotational Constant given Wave Number is denoted by Bwave_no symbol.

How to calculate Rotational Constant using Wave number using this online calculator? To use this online calculator for Rotational Constant using Wave number, enter Wave Number in Spectroscopy (B~) and hit the calculate button. Here is how the Rotational Constant using Wave number calculation can be explained with given input values -> 5E-22 = 2500*[hP]*[c].

FAQ

What is Rotational Constant using Wave number?
The Rotational Constant using Wave number formula is defined for relating in energy and Rotational energy levels in diatomic molecules. It is inversely proportional to moment of inertia.In spectroscopy rotational energy is represented in wave numbers and is represented as Bwave_no = B~*[hP]*[c] or Rotational Constant given Wave Number = Wave Number in Spectroscopy*[hP]*[c]. Wave Number in Spectroscopy, it is customary to represent energy in wavenumbers.
How to calculate Rotational Constant using Wave number?
The Rotational Constant using Wave number formula is defined for relating in energy and Rotational energy levels in diatomic molecules. It is inversely proportional to moment of inertia.In spectroscopy rotational energy is represented in wave numbers is calculated using Rotational Constant given Wave Number = Wave Number in Spectroscopy*[hP]*[c]. To calculate Rotational Constant using Wave number, you need Wave Number in Spectroscopy (B~). With our tool, you need to enter the respective value for Wave Number in Spectroscopy 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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