Akshada Kulkarni
National Institute of Information Technology (NIIT), Neemrana
Akshada Kulkarni has created this Calculator and 300+ more calculators!
Shivam Sinha
National Institute Of Technology (NIT), Surathkal
Shivam Sinha has verified this Calculator and 25+ more calculators!

11 Other formulas that you can solve using the same Inputs

Rotational constant related to equilibrium
Rotational constant equilibrium=Rotational constant vib-(Anharmonic potential constant*(Vibrational quantum number+1/2)) GO
Rotational constant for vibrational state
Rotational constant vib=Rotational constant equilibrium+(Anharmonic potential constant*(Vibrational quantum number+1/2)) GO
Vibrational quantum number using vibrational frequency
Vibrational quantum number=(Vibrational energy/([hP]*Vibrational Frequency))-1/2 GO
Vibrational Energy
Vibrational energy=(Vibrational quantum number+1/2)*([hP]*Vibrational Frequency) GO
Vibrational frequency in terms of vibrational energy
Vibrational Frequency=Vibrational energy/(Vibrational quantum number+1/2)*[hP] GO
Vibrational energy in terms of vibrational wave number
Vibrational energy=(Vibrational quantum number+1/2)*Vibrational wavenumber GO
Vibrational wavenumber in terms of vibrational energy
Vibrational wavenumber=Vibrational energy/(Vibrational quantum number+1/2) GO
Incident frequency when Stokes frequency is given
incident frequency=Stokes Scattering Frequency+Vibrational Frequency GO
Stokes scattering frequency
Stokes Scattering Frequency=Initial Frequency-Vibrational Frequency GO
Incident frequency when Anti-stokes frequency is given
incident frequency=anti stokes frequency-Vibrational Frequency GO
Anti- Stokes scattering frequency
anti stokes frequency=Initial Frequency+Vibrational Frequency GO

4 Other formulas that calculate the same Output

Vibrational energy using Anharmonicity constant
Vibrational energy=(Vibrational wavenumber^2)/(4*Anharmonicity constant*Vibrational wavenumber*Max vibrational number) GO
Vibrational Energy
Vibrational energy=(Vibrational quantum number+1/2)*([hP]*Vibrational Frequency) GO
Vibrational energy in terms of vibrational wave number
Vibrational energy=(Vibrational quantum number+1/2)*Vibrational wavenumber GO
Vibrational energy using dissociation energy
Vibrational energy=Dissociation energy of potential/Max vibrational number GO

Energy of Vibrational transitions Formula

Vibrational energy=((Vibrational quantum number+1/2)-Anharmonicity constant*((Vibrational quantum number+1/2)^2))*([hP]*Vibrational Frequency)
E<sub>vf</sub>=((v+1/2)-x<sub>e</sub>*((v+1/2)^2))*([hP]*v<sub>vib</sub>)
More formulas
Vibrational Energy GO
Vibrational energy in terms of vibrational wave number GO
Vibrational frequency in terms of vibrational energy GO
Vibrational wavenumber in terms of vibrational energy GO
Vibrational quantum number using vibrational frequency GO
Vibrational quantum number using vibrational wavenumber GO
Rotational constant for vibrational state GO
Rotational constant related to equilibrium GO
Anharmonic potential constant GO
Vibrational quantum number using rotational constant GO
Dissociation energy of potential GO
Vibrational energy using dissociation energy GO
Maximum vibrational quantum number when dissociation energy is given GO
Maximum vibrational quantum number GO
Dissociation energy in terms of vibrational wavenumber GO
Anharmonicity constant when dissociation energy is given GO
Vibrational energy using Anharmonicity constant GO
Maximum vibrational number using Anharmonicity constant GO
Zero point dissociation energy GO
Zero point energy when dissociation energy is given GO
Zero point energy GO
Dissociation energy of potential using zero point energy GO
Fundamental frequency of vibrational transitions GO
Vibrational frequency when fundamental frequency is given GO
Anharmonicity constant when fundamental frequency is given GO
First overtone frequency GO
Vibrational frequency when first overtone frequency is given GO
Second overtone frequency GO
Vibrational frequency when second overtone frequency is given GO
Vibrational degree of freedom for nonlinear molecules GO
Vibrational degree of freedom for linear molecules GO
Total degree of freedom for nonlinear molecules GO
Total degree of freedom for linear molecules GO
Anharmonicity constant when first overtone frequency is given GO
Anharmonicity constant when second overtone frequency is given GO

What is vibrational energy?

Vibrational spectroscopy looks at the differences in energy between the vibrational modes of a molecule. These are larger than the rotational energy states. This spectroscopy can provide a direct measure of bond strength. The vibration energy levels can be explained using diatomic molecules. To a first approximation, molecular vibrations can be approximated as simple harmonic oscillators, with an associated energy known as vibrational energy.

How to Calculate Energy of Vibrational transitions?

Energy of Vibrational transitions calculator uses Vibrational energy=((Vibrational quantum number+1/2)-Anharmonicity constant*((Vibrational quantum number+1/2)^2))*([hP]*Vibrational Frequency) to calculate the Vibrational energy, The Energy of Vibrational transitions formula is defined as the total energy of the respective rotation-vibration levels at different transitions of a diatomic molecule. Vibrational energy and is denoted by Evf symbol.

How to calculate Energy of Vibrational transitions using this online calculator? To use this online calculator for Energy of Vibrational transitions, enter Vibrational quantum number (v), Anharmonicity constant (xe) and Vibrational Frequency (vvib) and hit the calculate button. Here is how the Energy of Vibrational transitions calculation can be explained with given input values -> -2.783E-32 = ((1+1/2)-10*((1+1/2)^2))*([hP]*2).

FAQ

What is Energy of Vibrational transitions?
The Energy of Vibrational transitions formula is defined as the total energy of the respective rotation-vibration levels at different transitions of a diatomic molecule and is represented as Evf=((v+1/2)-xe*((v+1/2)^2))*([hP]*vvib) or Vibrational energy=((Vibrational quantum number+1/2)-Anharmonicity constant*((Vibrational quantum number+1/2)^2))*([hP]*Vibrational Frequency). Vibrational quantum number describes values of conserved quantities in the dynamics of a quantum system in a diatomic molecule, Anharmonicity constant is the deviation of a system from being a harmonic oscillator which is related to the vibrational energy levels of diatomic molecule and The Vibrational Frequency is the frequency of photons on the excited state.
How to calculate Energy of Vibrational transitions?
The Energy of Vibrational transitions formula is defined as the total energy of the respective rotation-vibration levels at different transitions of a diatomic molecule is calculated using Vibrational energy=((Vibrational quantum number+1/2)-Anharmonicity constant*((Vibrational quantum number+1/2)^2))*([hP]*Vibrational Frequency). To calculate Energy of Vibrational transitions, you need Vibrational quantum number (v), Anharmonicity constant (xe) and Vibrational Frequency (vvib). With our tool, you need to enter the respective value for Vibrational quantum number, Anharmonicity constant and Vibrational Frequency and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Vibrational energy?
In this formula, Vibrational energy uses Vibrational quantum number, Anharmonicity constant and Vibrational Frequency. We can use 4 other way(s) to calculate the same, which is/are as follows -
  • Vibrational energy=(Vibrational quantum number+1/2)*([hP]*Vibrational Frequency)
  • Vibrational energy=(Vibrational quantum number+1/2)*Vibrational wavenumber
  • Vibrational energy=Dissociation energy of potential/Max vibrational number
  • Vibrational energy=(Vibrational wavenumber^2)/(4*Anharmonicity constant*Vibrational wavenumber*Max vibrational number)
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