Collisional Cross Section Calculator

⤿

✖Radius of Molecule A is defined as one half the distance (d) between two nuclei in a diatomic molecule.ⓘ Radius of Molecule A [r_A]			+10% -10%
✖Radius of Molecule B is defined as one half the distance (d) between two nuclei in a diatomic molecule.ⓘ Radius of Molecule B [r_B]			+10% -10%

✖Collisional Cross Section is defined as the area around a particle in which the center of another particle must be in order for a collision to occur.ⓘ Collisional Cross Section [σ_AB]

⎘ Copy

👎

Formula

✖

Collisional Cross Section

Formula

`"σ"_{"AB"} = pi*(("r"_{"A"}*"r"_{"B"})^2)`

Example

`"44427.55m²"=pi*(("10.90m"*"10.91m")^2)`

Calculator

LaTeX

Reset

👍

Download Chemistry Formula PDF PDF Image

Collisional Cross Section Solution

STEP 0: Pre-Calculation Summary

Formula Used

Collisional Cross Section = pi*((Radius of Molecule A*Radius of Molecule B)^2)
σ_AB = pi*((r_A*r_B)^2)
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Collisional Cross Section - (Measured in Square Meter) - Collisional Cross Section is defined as the area around a particle in which the center of another particle must be in order for a collision to occur.
Radius of Molecule A - (Measured in Meter) - Radius of Molecule A is defined as one half the distance (d) between two nuclei in a diatomic molecule.
Radius of Molecule B - (Measured in Meter) - Radius of Molecule B is defined as one half the distance (d) between two nuclei in a diatomic molecule.

STEP 1: Convert Input(s) to Base Unit

Radius of Molecule A: 10.9 Meter --> 10.9 Meter No Conversion Required
Radius of Molecule B: 10.91 Meter --> 10.91 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ_AB = pi*((r_A*r_B)^2) --> pi*((10.9*10.91)^2)

Evaluating ... ...

σ_AB = 44427.5505562986

STEP 3: Convert Result to Output's Unit

44427.5505562986 Square Meter --> No Conversion Required

FINAL ANSWER

44427.5505562986 ≈ 44427.55 Square Meter <-- Collisional Cross Section

(Calculation completed in 00.020 seconds)

You are here -

Home » Chemistry » Quantum » Molecular Reaction Dynamics » Collisional Cross Section

Credits

Created by Soupayan banerjee

National University of Judicial Science (NUJS), Kolkata

Soupayan banerjee has created this Calculator and 200+ more calculators!

Verified by Prerana Bakli

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

Prerana Bakli has verified this Calculator and 1600+ more calculators!

< 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)

Collisional Cross Section Formula

Collisional Cross Section = pi*((Radius of Molecule A*Radius of Molecule B)^2)
σ_AB = pi*((r_A*r_B)^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 Collisional Cross Section?

Collisional Cross Section calculator uses Collisional Cross Section = pi*((Radius of Molecule A*Radius of Molecule B)^2) to calculate the Collisional Cross Section, The Collisional Cross Section formula is defined as the area around a particle A in which the center of another particle B must be in order for a collision to occur in a reaction. Collisional Cross Section is denoted by σ_AB symbol.

How to calculate Collisional Cross Section using this online calculator? To use this online calculator for Collisional Cross Section, enter Radius of Molecule A (r_A) & Radius of Molecule B (r_B) and hit the calculate button. Here is how the Collisional Cross Section calculation can be explained with given input values -> 44427.55 = pi*((10.9*10.91)^2).

FAQ

What is Collisional Cross Section?

The Collisional Cross Section formula is defined as the area around a particle A in which the center of another particle B must be in order for a collision to occur in a reaction and is represented as σ_AB = pi*((r_A*r_B)^2) or Collisional Cross Section = pi*((Radius of Molecule A*Radius of Molecule B)^2). Radius of Molecule A is defined as one half the distance (d) between two nuclei in a diatomic molecule & Radius of Molecule B is defined as one half the distance (d) between two nuclei in a diatomic molecule.

How to calculate Collisional Cross Section?

The Collisional Cross Section formula is defined as the area around a particle A in which the center of another particle B must be in order for a collision to occur in a reaction is calculated using Collisional Cross Section = pi*((Radius of Molecule A*Radius of Molecule B)^2). To calculate Collisional Cross Section, you need Radius of Molecule A (r_A) & Radius of Molecule B (r_B). With our tool, you need to enter the respective value for Radius of Molecule A & Radius of Molecule B 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 Collisional Cross Section?

In this formula, Collisional Cross Section uses Radius of Molecule A & Radius of Molecule B. We can use 1 other way(s) to calculate the same, which is/are as follows -

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)

Home

FREE PDFs

🔍 Search