Reaction Cross Section in Collision Solution

STEP 0: Pre-Calculation Summary
Formula Used
Reaction Cross Section = pi*(Largest Charge Seperation^2)
σR = pi*(Rx^2)
This formula uses 1 Constants, 2 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Reaction Cross Section - (Measured in Square Meter) - Reaction Cross Section is a measure of the effective size of the molecules as determined propensity (tendency) to react, at a given collision energy.
Largest Charge Seperation - (Measured in Meter) - Largest Charge Seperation is the maximum seperation in between positive and negative charges in a particle.
STEP 1: Convert Input(s) to Base Unit
Largest Charge Seperation: 10.8 Meter --> 10.8 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
σR = pi*(Rx^2) --> pi*(10.8^2)
Evaluating ... ...
σR = 366.435367114714
STEP 3: Convert Result to Output's Unit
366.435367114714 Square Meter --> No Conversion Required
FINAL ANSWER
366.435367114714 366.4354 Square Meter <-- Reaction Cross Section
(Calculation completed in 00.020 seconds)

Credits

Created by Soupayan banerjee
National University of Judicial Science (NUJS), Kolkata
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Amity Institute Of Applied Sciences (AIAS, Amity University), Noida, India
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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))
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)
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)
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)

Reaction Cross Section in Collision Formula

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

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 Reaction Cross Section in Collision?

Reaction Cross Section in Collision calculator uses Reaction Cross Section = pi*(Largest Charge Seperation^2) to calculate the Reaction Cross Section, The Reaction Cross Section in Collision formula is defined as a measure of the effective size of the molecules as determined propensity (tendency) to react, at a given collision energy. The SI unit is barn. Reaction Cross Section is denoted by σR symbol.

How to calculate Reaction Cross Section in Collision using this online calculator? To use this online calculator for Reaction Cross Section in Collision, enter Largest Charge Seperation (Rx) and hit the calculate button. Here is how the Reaction Cross Section in Collision calculation can be explained with given input values -> 366.4354 = pi*(10.8^2).

FAQ

What is Reaction Cross Section in Collision?
The Reaction Cross Section in Collision formula is defined as a measure of the effective size of the molecules as determined propensity (tendency) to react, at a given collision energy. The SI unit is barn and is represented as σR = pi*(Rx^2) or Reaction Cross Section = pi*(Largest Charge Seperation^2). Largest Charge Seperation is the maximum seperation in between positive and negative charges in a particle.
How to calculate Reaction Cross Section in Collision?
The Reaction Cross Section in Collision formula is defined as a measure of the effective size of the molecules as determined propensity (tendency) to react, at a given collision energy. The SI unit is barn is calculated using Reaction Cross Section = pi*(Largest Charge Seperation^2). To calculate Reaction Cross Section in Collision, you need Largest Charge Seperation (Rx). With our tool, you need to enter the respective value for Largest Charge Seperation 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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