Vibrational Frequency given Boltzmann's Constant Calculator

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✖Temperature in terms of Molecular Dynamics is the degree or intensity of heat present in a molecules during collision.ⓘ Temperature in terms of Molecular Dynamics [T]

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✖The Vibrational Frequency is the frequency of photons on the excited state.ⓘ Vibrational Frequency given Boltzmann's Constant [v_vib]

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Formula

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Vibrational Frequency given Boltzmann's Constant

Formula

`"v"_{"vib"} = ("[BoltZ]"*"T")/"[hP]"`

Example

`"1.8E^12Hz"=("[BoltZ]"*"85K")/"[hP]"`

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Vibrational Frequency given Boltzmann's Constant Solution

STEP 0: Pre-Calculation Summary

Formula Used

Vibrational Frequency = ([BoltZ]*Temperature in terms of Molecular Dynamics)/[hP]
v_vib = ([BoltZ]*T)/[hP]
This formula uses 2 Constants, 2 Variables

Constants Used

[BoltZ] - Boltzmann constant Value Taken As 1.38064852E-23
[hP] - Planck constant Value Taken As 6.626070040E-34

Variables Used

Vibrational Frequency - (Measured in Hertz) - The Vibrational Frequency is the frequency of photons on the excited state.
Temperature in terms of Molecular Dynamics - (Measured in Kelvin) - Temperature in terms of Molecular Dynamics is the degree or intensity of heat present in a molecules during collision.

STEP 1: Convert Input(s) to Base Unit

Temperature in terms of Molecular Dynamics: 85 Kelvin --> 85 Kelvin No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

v_vib = ([BoltZ]*T)/[hP] --> ([BoltZ]*85)/[hP]

Evaluating ... ...

v_vib = 1771112039135.64

STEP 3: Convert Result to Output's Unit

1771112039135.64 Hertz --> No Conversion Required

FINAL ANSWER

1771112039135.64 ≈ 1.8E+12 Hertz <-- Vibrational Frequency

(Calculation completed in 00.004 seconds)

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Created by Soupayan banerjee

National University of Judicial Science (NUJS), Kolkata

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

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< 19 Molecular Reaction Dynamics Calculators

Collision Cross Section in Ideal Gas

Go Collisional Cross Section = (Collision Frequency/Number Density for A Molecules*Number Density for B Molecules)*sqrt(pi*Reduced Mass of Reactants A and B/8*[BoltZ]*Temperature in terms of Molecular Dynamics)

Collision Frequency in Ideal Gas

Go Collision Frequency = Number Density for A Molecules*Number Density for B Molecules*Collisional Cross Section*sqrt((8*[BoltZ]*Time in terms of Ideal Gas/pi*Reduced Mass of Reactants A and B))

Reduced Mass of Reactants using Collision Frequency

Go Reduced Mass of Reactants A and B = ((Number Density for A Molecules*Number Density for B Molecules*Collisional Cross Section/Collision Frequency)^2)*(8*[BoltZ]*Temperature in terms of Molecular Dynamics/pi)

Number of Collisions per Second in Equal Size Particles

Go Number of Collisions per Second = ((8*[BoltZ]*Temperature in terms of Molecular Dynamics*Concentration of Equal Size Particle in Solution)/(3*Viscosity of Fluid in Quantum))

Concentration of Equal Size Particle in Solution using Collision Rate

Go Concentration of Equal Size Particle in Solution = (3*Viscosity of Fluid in Quantum*Number of Collisions per Second)/(8*[BoltZ]*Temperature in terms of Molecular Dynamics)

Temperature of Molecular Particle using Collision Rate

Go Temperature in terms of Molecular Dynamics = (3*Viscosity of Fluid in Quantum*Number of Collisions per Second)/(8*[BoltZ]*Concentration of Equal Size Particle in Solution)

Viscosity of Solution using Collision Rate

Go Viscosity of Fluid in Quantum = (8*[BoltZ]*Temperature in terms of Molecular Dynamics*Concentration of Equal Size Particle in Solution)/(3*Number of Collisions per Second)

Number Density for A Molecules using Collision Rate Constant

Go Number Density for A Molecules = Collision Frequency/(Velocity of Beam Molecules*Number Density for B Molecules*Cross Sectional Area for Quantum)

Cross Sectional Area using Rate of Molecular Collisions

Go Cross Sectional Area for Quantum = Collision Frequency/(Velocity of Beam Molecules*Number Density for B Molecules*Number Density for A Molecules)

Number of Bimolecular Collision per Unit Time per Unit Volume

Go Collision Frequency = Number Density for A Molecules*Number Density for B Molecules*Velocity of Beam Molecules*Cross Sectional Area for Quantum

Reduced Mass of Reactants A and B

Go Reduced Mass of Reactants A and B = (Mass of Reactant B*Mass of Reactant B)/(Mass of Reactant A+Mass of Reactant B)

Miss Distance between Particles in Collision

Go Miss Distance = sqrt(((Interparticle Distance Vector^2)*Centrifugal Energy)/Total Energy Before Collision)

Interparticle Distance Vector in Molecular Reaction Dynamics

Go Interparticle Distance Vector = sqrt(Total Energy Before Collision*(Miss Distance^2)/Centrifugal Energy)

Centrifugal Energy in Collision

Go Centrifugal Energy = Total Energy Before Collision*(Miss Distance^2)/(Interparticle Distance Vector^2)

Total Energy before Collision

Go Total Energy Before Collision = Centrifugal Energy*(Interparticle Distance Vector^2)/(Miss Distance^2)

Vibrational Frequency given Boltzmann's Constant

Go Vibrational Frequency = ([BoltZ]*Temperature in terms of Molecular Dynamics)/[hP]

Collisional Cross Section

Go Collisional Cross Section = pi*((Radius of Molecule A*Radius of Molecule B)^2)

Largest Charge Seperation in Collision

Go Largest Charge Seperation = sqrt(Reaction Cross Section/pi)

Reaction Cross Section in Collision

Go Reaction Cross Section = pi*(Largest Charge Seperation^2)

Vibrational Frequency given Boltzmann's Constant Formula

Vibrational Frequency = ([BoltZ]*Temperature in terms of Molecular Dynamics)/[hP]
v_vib = ([BoltZ]*T)/[hP]

What is Collision Theory?

Collision theory states that when suitable particles of the reactant hit each other with correct orientation, only a certain amount of collisions result in a perceptible or notable change; these successful changes are called successful collisions.

How to Calculate Vibrational Frequency given Boltzmann's Constant?

Vibrational Frequency given Boltzmann's Constant calculator uses Vibrational Frequency = ([BoltZ]*Temperature in terms of Molecular Dynamics)/[hP] to calculate the Vibrational Frequency, The Vibrational Frequency given Boltzmann's Constant formula is defined as the rate per second of a vibration in a molecule due to the vibrations of its atoms which is calculated using Boltzmann's constant. Vibrational Frequency is denoted by v_vib symbol.

How to calculate Vibrational Frequency given Boltzmann's Constant using this online calculator? To use this online calculator for Vibrational Frequency given Boltzmann's Constant, enter Temperature in terms of Molecular Dynamics (T) and hit the calculate button. Here is how the Vibrational Frequency given Boltzmann's Constant calculation can be explained with given input values -> 1.8E+12 = ([BoltZ]*85)/[hP].

FAQ

What is Vibrational Frequency given Boltzmann's Constant?

The Vibrational Frequency given Boltzmann's Constant formula is defined as the rate per second of a vibration in a molecule due to the vibrations of its atoms which is calculated using Boltzmann's constant and is represented as v_vib = ([BoltZ]*T)/[hP] or Vibrational Frequency = ([BoltZ]*Temperature in terms of Molecular Dynamics)/[hP]. Temperature in terms of Molecular Dynamics is the degree or intensity of heat present in a molecules during collision.

How to calculate Vibrational Frequency given Boltzmann's Constant?

The Vibrational Frequency given Boltzmann's Constant formula is defined as the rate per second of a vibration in a molecule due to the vibrations of its atoms which is calculated using Boltzmann's constant is calculated using Vibrational Frequency = ([BoltZ]*Temperature in terms of Molecular Dynamics)/[hP]. To calculate Vibrational Frequency given Boltzmann's Constant, you need Temperature in terms of Molecular Dynamics (T). With our tool, you need to enter the respective value for Temperature in terms of Molecular Dynamics 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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