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Vibrational Degree of Freedom for Nonlinear Molecules Calculator

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Important formulae on Vibrational Spectroscopy Vibrational energy levels

✖The Number of Atoms is the the total number of constituent atoms in the unit cell.ⓘ Number of Atoms [z]

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✖Vibrational Degree Nonlinear is the degree of freedom for non linear molecules in vibrational movement.ⓘ Vibrational Degree of Freedom for Nonlinear Molecules [vibd_nl]

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Vibrational Degree of Freedom for Nonlinear Molecules Solution

STEP 0: Pre-Calculation Summary

Formula Used

Vibrational Degree Nonlinear = (3*Number of Atoms)-6
vibd_nl = (3*z)-6
This formula uses 2 Variables

Variables Used

Vibrational Degree Nonlinear - Vibrational Degree Nonlinear is the degree of freedom for non linear molecules in vibrational movement.
Number of Atoms - The Number of Atoms is the the total number of constituent atoms in the unit cell.

STEP 1: Convert Input(s) to Base Unit

Number of Atoms: 35 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

vibd_nl = (3*z)-6 --> (3*35)-6

Evaluating ... ...

vibd_nl = 99

STEP 3: Convert Result to Output's Unit

99 --> No Conversion Required

FINAL ANSWER

99 <-- Vibrational Degree Nonlinear

(Calculation completed in 00.017 seconds)

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Created by Akshada Kulkarni

National Institute of Information Technology (NIIT), Neemrana

Akshada Kulkarni has created this Calculator and 500+ more calculators!

Verified by Shivam Sinha

National Institute Of Technology (NIT), Surathkal

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< Vibrational Spectroscopy Calculators

Anharmonic Potential Constant

LaTeX Go Anharmonic Potential Constant = (Rotational Constant vib-Rotational Constant Equilibrium)/(Vibrational Quantum Number+1/2)

Anharmonicity Constant given Fundamental Frequency

LaTeX Go Anharmonicity Constant = (Vibration Frequency-Fundamental Frequency)/(2*Vibration Frequency)

Anharmonicity Constant given Second Overtone Frequency

LaTeX Go Anharmonicity Constant = 1/4*(1-(Second Overtone Frequency/(3*Vibrational Frequency)))

Anharmonicity Constant given First Overtone Frequency

LaTeX Go Anharmonicity Constant = 1/3*(1-(First Overtone Frequency/(2*Vibrational Frequency)))

< Important formulae on Vibrational Spectroscopy Calculators

Rotational Constant for Vibrational State

LaTeX Go Rotational Constant vib = Rotational Constant Equilibrium+(Anharmonic Potential Constant*(Vibrational Quantum Number+1/2))

Anharmonicity Constant given First Overtone Frequency

LaTeX Go Anharmonicity Constant = 1/3*(1-(First Overtone Frequency/(2*Vibrational Frequency)))

First Overtone Frequency

LaTeX Go First Overtone Frequency = (2*Vibrational Frequency)*(1-3*Anharmonicity Constant)

Fundamental Frequency of Vibrational Transitions

LaTeX Go Fundamental Frequency = Vibrational Frequency*(1-2*Anharmonicity Constant)

< Important Calculators of Vibrational Spectroscopy Calculators

Rotational Constant Related to Equilibrium

LaTeX Go Rotational Constant Equilibrium = Rotational Constant vib-(Anharmonic Potential Constant*(Vibrational Quantum Number+1/2))

Rotational Constant for Vibrational State

LaTeX Go Rotational Constant vib = Rotational Constant Equilibrium+(Anharmonic Potential Constant*(Vibrational Quantum Number+1/2))

Vibrational Quantum Number using Vibrational Frequency

LaTeX Go Vibrational Quantum Number = (Vibrational Energy/([hP]*Vibrational Frequency))-1/2

Vibrational Quantum Number using Vibrational Wavenumber

LaTeX Go Vibrational Quantum Number = (Vibrational Energy/[hP]*Vibrational Wavenumber)-1/2

Vibrational Degree of Freedom for Nonlinear Molecules Formula

LaTeX Go

Vibrational Degree Nonlinear = (3*Number of Atoms)-6
vibd_nl = (3*z)-6

What is Vibrational degree of freedom?

Vibrational degree of freedom are any other types of movement not assigned to rotational or translational movement and thus there are 3N – 6 degrees of vibrational freedom for a nonlinear molecule and 3N – 5 for a linear molecule. These vibrations include bending, stretching, wagging and many other aptly named internal movements of a molecule. These various vibrations arise due to the numerous combinations of different stretches, contractions, and bends that can occur between the bonds of atoms in the molecule.

How is Vibrational degrees of freedom related to energy of molecule?

Each of these vibrational degrees of freedom is able to store energy. However, In the case of rotational and vibrational degrees of freedom, energy can only be stored in discrete amounts. This is due to the quantized break down of energy levels in a molecule described by quantum mechanics. In the case of rotations the energy stored is dependent on the rotational inertia of the gas along with the corresponding quantum number describing the energy level.

How to Calculate Vibrational Degree of Freedom for Nonlinear Molecules?

Vibrational Degree of Freedom for Nonlinear Molecules calculator uses Vibrational Degree Nonlinear = (3*Number of Atoms)-6 to calculate the Vibrational Degree Nonlinear, The Vibrational degree of freedom for nonlinear molecules formula is defined as the maximum number of logically independent values, which are values that have the freedom to vary in vibrational movement for non linear molecules. Vibrational Degree Nonlinear is denoted by vibd_nl symbol.

How to calculate Vibrational Degree of Freedom for Nonlinear Molecules using this online calculator? To use this online calculator for Vibrational Degree of Freedom for Nonlinear Molecules, enter Number of Atoms (z) and hit the calculate button. Here is how the Vibrational Degree of Freedom for Nonlinear Molecules calculation can be explained with given input values -> 99 = (3*35)-6.

FAQ

What is Vibrational Degree of Freedom for Nonlinear Molecules?

The Vibrational degree of freedom for nonlinear molecules formula is defined as the maximum number of logically independent values, which are values that have the freedom to vary in vibrational movement for non linear molecules and is represented as vibd_nl = (3*z)-6 or Vibrational Degree Nonlinear = (3*Number of Atoms)-6. The Number of Atoms is the the total number of constituent atoms in the unit cell.

How to calculate Vibrational Degree of Freedom for Nonlinear Molecules?

The Vibrational degree of freedom for nonlinear molecules formula is defined as the maximum number of logically independent values, which are values that have the freedom to vary in vibrational movement for non linear molecules is calculated using Vibrational Degree Nonlinear = (3*Number of Atoms)-6. To calculate Vibrational Degree of Freedom for Nonlinear Molecules, you need Number of Atoms (z). With our tool, you need to enter the respective value for Number of Atoms 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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