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Interparticle Distance Vector in Molecular Reaction Dynamics Calculator

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Molecular Reaction Dynamics

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✖Total Energy Before Collision is the quantitative property that must be transferred to a body or physical system to perform collision.ⓘ Total Energy Before Collision [E_T]			+10% -10%
✖Miss Distance is defined so that it is how near to one another the particles A and B approach, when there is no force acting between them.ⓘ Miss Distance [b]			+10% -10%
✖Centrifugal Energy is the energy related to a particle moving on a circular path.ⓘ Centrifugal Energy [E_centrifugal]			+10% -10%

✖Interparticle Distance Vector is the mean distance vector between microscopic particles (usually atoms or molecules) in a macroscopic body.ⓘ Interparticle Distance Vector in Molecular Reaction Dynamics [R]

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Interparticle Distance Vector in Molecular Reaction Dynamics

Formula

`"R" = sqrt("E"_{"T"}*("b"^2)/"E"_{"centrifugal"})`

Example

`"1.760682"=sqrt("1.55J"*(("4")^2)/"8J")`

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Interparticle Distance Vector in Molecular Reaction Dynamics Solution

STEP 0: Pre-Calculation Summary

Formula Used

Interparticle Distance Vector = sqrt(Total Energy Before Collision*(Miss Distance^2)/Centrifugal Energy)
R = sqrt(E_T*(b^2)/E_centrifugal)
This formula uses 1 Functions, 4 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Interparticle Distance Vector - Interparticle Distance Vector is the mean distance vector between microscopic particles (usually atoms or molecules) in a macroscopic body.
Total Energy Before Collision - (Measured in Joule) - Total Energy Before Collision is the quantitative property that must be transferred to a body or physical system to perform collision.
Miss Distance - Miss Distance is defined so that it is how near to one another the particles A and B approach, when there is no force acting between them.
Centrifugal Energy - (Measured in Joule) - Centrifugal Energy is the energy related to a particle moving on a circular path.

STEP 1: Convert Input(s) to Base Unit

Total Energy Before Collision: 1.55 Joule --> 1.55 Joule No Conversion Required
Miss Distance: 4 --> No Conversion Required
Centrifugal Energy: 8 Joule --> 8 Joule No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R = sqrt(E_T*(b^2)/E_centrifugal) --> sqrt(1.55*(4^2)/8)

Evaluating ... ...

R = 1.7606816861659

STEP 3: Convert Result to Output's Unit

1.7606816861659 --> No Conversion Required

FINAL ANSWER

1.7606816861659 ≈ 1.760682 <-- Interparticle Distance Vector

(Calculation completed in 00.006 seconds)

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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)

Interparticle Distance Vector in Molecular Reaction Dynamics Formula

Interparticle Distance Vector = sqrt(Total Energy Before Collision*(Miss Distance^2)/Centrifugal Energy)
R = sqrt(E_T*(b^2)/E_centrifugal)

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. The successful collisions must have enough energy, also known as activation energy, at the moment of impact to break the pre-existing bonds and form all new bonds.

How to Calculate Interparticle Distance Vector in Molecular Reaction Dynamics?

Interparticle Distance Vector in Molecular Reaction Dynamics calculator uses Interparticle Distance Vector = sqrt(Total Energy Before Collision*(Miss Distance^2)/Centrifugal Energy) to calculate the Interparticle Distance Vector, The Interparticle Distance Vector in Molecular Reaction Dynamics formula is defined as the distance between the particle involved in collision which is a vector quantity. Interparticle Distance Vector is denoted by R symbol.

How to calculate Interparticle Distance Vector in Molecular Reaction Dynamics using this online calculator? To use this online calculator for Interparticle Distance Vector in Molecular Reaction Dynamics, enter Total Energy Before Collision (E_T), Miss Distance (b) & Centrifugal Energy (E_centrifugal) and hit the calculate button. Here is how the Interparticle Distance Vector in Molecular Reaction Dynamics calculation can be explained with given input values -> 1.760682 = sqrt(1.55*(4^2)/8).

FAQ

What is Interparticle Distance Vector in Molecular Reaction Dynamics?

The Interparticle Distance Vector in Molecular Reaction Dynamics formula is defined as the distance between the particle involved in collision which is a vector quantity and is represented as R = sqrt(E_T*(b^2)/E_centrifugal) or Interparticle Distance Vector = sqrt(Total Energy Before Collision*(Miss Distance^2)/Centrifugal Energy). Total Energy Before Collision is the quantitative property that must be transferred to a body or physical system to perform collision, Miss Distance is defined so that it is how near to one another the particles A and B approach, when there is no force acting between them & Centrifugal Energy is the energy related to a particle moving on a circular path.

How to calculate Interparticle Distance Vector in Molecular Reaction Dynamics?

The Interparticle Distance Vector in Molecular Reaction Dynamics formula is defined as the distance between the particle involved in collision which is a vector quantity is calculated using Interparticle Distance Vector = sqrt(Total Energy Before Collision*(Miss Distance^2)/Centrifugal Energy). To calculate Interparticle Distance Vector in Molecular Reaction Dynamics, you need Total Energy Before Collision (E_T), Miss Distance (b) & Centrifugal Energy (E_centrifugal). With our tool, you need to enter the respective value for Total Energy Before Collision, Miss Distance & Centrifugal Energy 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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