Atomicity given Vibrational Mode of Non-Linear Molecule Calculator

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✖The Number of Normal modes is the fundamental modes responsible for the vibrational motion.ⓘ Number of Normal modes [N_vib]

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✖The Atomicity is defined as the total number of atoms present in a molecule or element.ⓘ Atomicity given Vibrational Mode of Non-Linear Molecule [N]

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Formula

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Atomicity given Vibrational Mode of Non-Linear Molecule

Formula

`"N" = ("N"_{"vib"}+6)/3`

Example

`"3.333333"=("4"+6)/3`

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Atomicity given Vibrational Mode of Non-Linear Molecule Solution

STEP 0: Pre-Calculation Summary

Formula Used

Atomicity = (Number of Normal modes+6)/3
N = (N_vib+6)/3
This formula uses 2 Variables

Variables Used

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

STEP 1: Convert Input(s) to Base Unit

Number of Normal modes: 4 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

N = (N_vib+6)/3 --> (4+6)/3

Evaluating ... ...

N = 3.33333333333333

STEP 3: Convert Result to Output's Unit

3.33333333333333 --> No Conversion Required

FINAL ANSWER

3.33333333333333 ≈ 3.333333 <-- Atomicity

(Calculation completed in 00.013 seconds)

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Home » Chemistry » Kinetic Theory of Gases » Equipartition Principle and Heat Capacity » Atomicity » Atomicity given Vibrational Mode of Non-Linear Molecule

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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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< 22 Atomicity Calculators

Atomicity given Molar Heat Capacity at Constant Pressure and Volume of Linear Molecule

Go Atomicity = ((2.5*(Molar Specific Heat Capacity at Constant Pressure/Molar Specific Heat Capacity at Constant Volume))-1.5)/((3*(Molar Specific Heat Capacity at Constant Pressure/Molar Specific Heat Capacity at Constant Volume))-3)

Atomicity given Molar Heat Capacity at Constant Pressure and Volume of Non-Linear Molecule

Go Atomicity = ((3*(Molar Specific Heat Capacity at Constant Pressure/Molar Specific Heat Capacity at Constant Volume))-2)/((3*(Molar Specific Heat Capacity at Constant Pressure/Molar Specific Heat Capacity at Constant Volume))-3)

Atomicity given Molar Heat Capacity at Constant Pressure of Linear Molecule

Go Atomicity = (((Molar Specific Heat Capacity at Constant Pressure-[R])/[R])+2.5)/3

Atomicity given Molar Heat Capacity at Constant Pressure of Non-Linear Molecule

Go Atomicity = (((Molar Specific Heat Capacity at Constant Pressure-[R])/[R])+3)/3

Atomicity given Average Thermal Energy of Linear Polyatomic Gas Molecule

Go Atomicity = ((Internal Molar Energy/(0.5*[BoltZ]*Temperature))+5)/6

Atomicity given Internal Molar Energy of Non-Linear Molecule

Go Atomicity = ((Internal Molar Energy/(0.5*[R]*Temperature))+6)/6

Atomicity given Internal Molar Energy of Linear Molecule

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

Atomicity given Molar Vibrational Energy of Non-Linear Molecule

Go Atomicity = ((Molar Vibrational Energy/([R]*Temperature))+6)/3

Atomicity given Molar Vibrational Energy of Linear Molecule

Go Atomicity = ((Molar Vibrational Energy/([R]*Temperature))+5)/3

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

Go Atomicity = ((Thermal Energy/(0.5*[BoltZ]*Temperature))+6)/6

Atomicity given Vibrational Energy of Non-Linear Molecule

Go Atomicity = ((Vibrational Energy/([BoltZ]*Temperature))+6)/3

Atomicity given Vibrational Energy of Linear Molecule

Go Atomicity = ((Vibrational Energy/([BoltZ]*Temperature))+5)/3

Atomicity given Ratio of Molar Heat Capacity of Linear Molecule

Go Atomicity = ((2.5*Ratio of Molar Heat Capacity)-1.5)/((3*Ratio of Molar Heat Capacity)-3)

Atomicity given Ratio of Molar Heat Capacity of Non-Linear Molecule

Go Atomicity = ((3*Ratio of Molar Heat Capacity)-2)/((3*Ratio of Molar Heat Capacity)-3)

Atomicity given Molar Heat Capacity at Constant Volume of Linear Molecule

Go Atomicity = ((Molar Specific Heat Capacity at Constant Volume/[R])+2.5)/3

Atomicity given Molar Heat Capacity at Constant Volume of Non-Linear Molecule

Go Atomicity = ((Molar Specific Heat Capacity at Constant Volume/[R])+3)/3

Atomicity given Vibrational Mode of Non-Linear Molecule

Go Atomicity = (Number of Normal modes+6)/3

Atomicity given Vibrational Mode of Linear Molecule

Go Atomicity = (Number of Normal modes+5)/3

Atomicity given Vibrational Degree of Freedom in Non-Linear Molecule

Go Atomicity = (Degree of Freedom+6)/3

Atomicity given Vibrational Degree of Freedom in Linear Molecule

Go Atomicity = (Degree of Freedom+5)/3

Atomicity given Number of modes in Non-Linear Molecule

Go Atomicity = (Number of Modes+6)/6

Atomicity given Number of modes in Linear Molecule

Go Atomicity = (Number of Modes+5)/6

Atomicity given Vibrational Mode of Non-Linear Molecule Formula

Atomicity = (Number of Normal modes+6)/3
N = (N_vib+6)/3

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 Atomicity given Vibrational Mode of Non-Linear Molecule?

Atomicity given Vibrational Mode of Non-Linear Molecule calculator uses Atomicity = (Number of Normal modes+6)/3 to calculate the Atomicity, The Atomicity given Vibrational Mode of Non-Linear Molecule is defined as the total number of atoms present in a molecule of an element. Atomicity is denoted by N symbol.

How to calculate Atomicity given Vibrational Mode of Non-Linear Molecule using this online calculator? To use this online calculator for Atomicity given Vibrational Mode of Non-Linear Molecule, enter Number of Normal modes (N_vib) and hit the calculate button. Here is how the Atomicity given Vibrational Mode of Non-Linear Molecule calculation can be explained with given input values -> 3.333333 = (4+6)/3.

FAQ

What is Atomicity given Vibrational Mode of Non-Linear Molecule?

The Atomicity given Vibrational Mode of Non-Linear Molecule is defined as the total number of atoms present in a molecule of an element and is represented as N = (N_vib+6)/3 or Atomicity = (Number of Normal modes+6)/3. The Number of Normal modes is the fundamental modes responsible for the vibrational motion.

How to calculate Atomicity given Vibrational Mode of Non-Linear Molecule?

The Atomicity given Vibrational Mode of Non-Linear Molecule is defined as the total number of atoms present in a molecule of an element is calculated using Atomicity = (Number of Normal modes+6)/3. To calculate Atomicity given Vibrational Mode of Non-Linear Molecule, you need Number of Normal modes (N_vib). With our tool, you need to enter the respective value for Number of Normal modes 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 Atomicity?

In this formula, Atomicity uses Number of Normal modes. We can use 21 other way(s) to calculate the same, which is/are as follows -

Atomicity = (((Molar Specific Heat Capacity at Constant Pressure-[R])/[R])+2.5)/3
Atomicity = (((Molar Specific Heat Capacity at Constant Pressure-[R])/[R])+3)/3
Atomicity = ((Molar Specific Heat Capacity at Constant Volume/[R])+2.5)/3
Atomicity = ((Molar Specific Heat Capacity at Constant Volume/[R])+3)/3
Atomicity = ((Internal Molar Energy/(0.5*[BoltZ]*Temperature))+5)/6
Atomicity = ((Thermal Energy/(0.5*[BoltZ]*Temperature))+6)/6
Atomicity = ((Internal Molar Energy/(0.5*[R]*Temperature))+5)/6
Atomicity = ((Internal Molar Energy/(0.5*[R]*Temperature))+6)/6
Atomicity = ((2.5*(Molar Specific Heat Capacity at Constant Pressure/Molar Specific Heat Capacity at Constant Volume))-1.5)/((3*(Molar Specific Heat Capacity at Constant Pressure/Molar Specific Heat Capacity at Constant Volume))-3)
Atomicity = ((3*(Molar Specific Heat Capacity at Constant Pressure/Molar Specific Heat Capacity at Constant Volume))-2)/((3*(Molar Specific Heat Capacity at Constant Pressure/Molar Specific Heat Capacity at Constant Volume))-3)
Atomicity = ((Molar Vibrational Energy/([R]*Temperature))+5)/3
Atomicity = ((Molar Vibrational Energy/([R]*Temperature))+6)/3
Atomicity = (Number of Modes+5)/6
Atomicity = (Number of Modes+6)/6
Atomicity = ((2.5*Ratio of Molar Heat Capacity)-1.5)/((3*Ratio of Molar Heat Capacity)-3)
Atomicity = ((3*Ratio of Molar Heat Capacity)-2)/((3*Ratio of Molar Heat Capacity)-3)
Atomicity = (Degree of Freedom+5)/3
Atomicity = (Degree of Freedom+6)/3
Atomicity = ((Vibrational Energy/([BoltZ]*Temperature))+5)/3
Atomicity = ((Vibrational Energy/([BoltZ]*Temperature))+6)/3
Atomicity = (Number of Normal modes+5)/3

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