Number of Modes in Non-Linear Molecule Calculator

✖The Atomicity is defined as the total number of atoms present in a molecule or element.ⓘ Atomicity [N]

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✖Number of Normal modes for Non Linear is the fundamental modes responsible for the vibrational motion.ⓘ Number of Modes in Non-Linear Molecule [N_modes]

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Number of Modes in Non-Linear Molecule Solution

STEP 0: Pre-Calculation Summary

Formula Used

Number of Normal modes for Non Linear = (6*Atomicity)-6
N_modes = (6*N)-6
This formula uses 2 Variables

Variables Used

Number of Normal modes for Non Linear - Number of Normal modes for Non Linear is the fundamental modes responsible for the vibrational motion.
Atomicity - The Atomicity is defined as the total number of atoms present in a molecule or element.

STEP 1: Convert Input(s) to Base Unit

Atomicity: 3 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

N_modes = (6*N)-6 --> (6*3)-6

Evaluating ... ...

N_modes = 12

STEP 3: Convert Result to Output's Unit

12 --> No Conversion Required

FINAL ANSWER

12 <-- Number of Normal modes for Non Linear

(Calculation completed in 00.004 seconds)

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Created by Prerana Bakli

University of Hawaiʻi at Mānoa (UH Manoa), Hawaii, USA

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National Institute of Information Technology (NIIT), Neemrana

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< Equipartition Principle and Heat Capacity Calculators

Rotational Energy of Non-Linear Molecule

LaTeX Go Rotational Energy = (0.5*Moment of Inertia along Y-axis*Angular Velocity along Y-axis^2)+(0.5*Moment of Inertia along Z-axis*Angular Velocity along Z-axis^2)+(0.5*Moment of Inertia along X-axis*Angular Velocity along X-axis^2)

Translational Energy

LaTeX Go Translational Energy = ((Momentum along X-axis^2)/(2*Mass))+((Momentum along Y-axis^2)/(2*Mass))+((Momentum along Z-axis^2)/(2*Mass))

Rotational Energy of Linear Molecule

LaTeX Go Rotational Energy = (0.5*Moment of Inertia along Y-axis*(Angular Velocity along Y-axis^2))+(0.5*Moment of Inertia along Z-axis*(Angular Velocity along Z-axis^2))

Vibrational Energy Modeled as Harmonic Oscillator

LaTeX Go Vibrational Energy = ((Momentum of Harmonic Oscillator^2)/(2*Mass))+(0.5*Spring Constant*(Change in Position^2))

< Important Formulae on Equipartition Principle and Heat Capacity Calculators

Average Thermal Energy of Non-linear polyatomic Gas Molecule given Atomicity

LaTeX Go Thermal Energy given Atomicity = ((6*Atomicity)-6)*(0.5*[BoltZ]*Temperature)

Average Thermal Energy of Linear Polyatomic Gas Molecule given Atomicity

LaTeX Go Thermal Energy given Atomicity = ((6*Atomicity)-5)*(0.5*[BoltZ]*Temperature)

Internal Molar Energy of Non-Linear Molecule given Atomicity

LaTeX Go Molar Internal Energy = ((6*Atomicity)-6)*(0.5*[R]*Temperature)

Internal Molar Energy of Linear Molecule given Atomicity

LaTeX Go Molar Internal Energy = ((6*Atomicity)-5)*(0.5*[R]*Temperature)

Number of Modes in Non-Linear Molecule Formula

LaTeX Go

Number of Normal modes for Non Linear = (6*Atomicity)-6
N_modes = (6*N)-6

What is the statement of Equipartition Theorem?

The original concept of equipartition was that the total kinetic energy of a system is shared equally among all of its independent parts, on the average, once the system has reached thermal equilibrium. Equipartition also makes quantitative predictions for these energies. The key point is that the kinetic energy is quadratic in the velocity. The equipartition theorem shows that in thermal equilibrium, any degree of freedom (such as a component of the position or velocity of a particle) which appears only quadratically in the energy has an average energy of 1⁄2kBT and therefore contributes 1⁄2kB to the system's heat capacity.

How to Calculate Number of Modes in Non-Linear Molecule?

Number of Modes in Non-Linear Molecule calculator uses Number of Normal modes for Non Linear = (6*Atomicity)-6 to calculate the Number of Normal modes for Non Linear, The Number of modes in Non-Linear Molecule is the number of variables required to describe the motion of a particle completely. Number of Normal modes for Non Linear is denoted by N_modes symbol.

How to calculate Number of Modes in Non-Linear Molecule using this online calculator? To use this online calculator for Number of Modes in Non-Linear Molecule, enter Atomicity (N) and hit the calculate button. Here is how the Number of Modes in Non-Linear Molecule calculation can be explained with given input values -> 12 = (6*3)-6.

FAQ

What is Number of Modes in Non-Linear Molecule?

The Number of modes in Non-Linear Molecule is the number of variables required to describe the motion of a particle completely and is represented as N_modes = (6*N)-6 or Number of Normal modes for Non Linear = (6*Atomicity)-6. The Atomicity is defined as the total number of atoms present in a molecule or element.

How to calculate Number of Modes in Non-Linear Molecule?

The Number of modes in Non-Linear Molecule is the number of variables required to describe the motion of a particle completely is calculated using Number of Normal modes for Non Linear = (6*Atomicity)-6. To calculate Number of Modes in Non-Linear Molecule, you need Atomicity (N). With our tool, you need to enter the respective value for Atomicity 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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