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Collisional Cross Section Formula

GoCollision Cross Section in Ideal Gas Formula

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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. Check FAQs

σ AB = π \cdot ({(r A \cdot r B)}^{2})

σ_AB - Collisional Cross Section?r_A - Radius of Molecule A?r_B - Radius of Molecule B?π - Archimedes' constant?

Collisional Cross Section Example

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Here is how the Collisional Cross Section equation looks like with Values.

Here is how the Collisional Cross Section equation looks like with Units.

Here is how the Collisional Cross Section equation looks like.

44427.5506 = 3.1416 \cdot ({(10.9 \cdot 10.91)}^{2})

44427.5506m² = 3.1416 \cdot ({(10.9m \cdot 10.91m)}^{2})

44427.5506 = 3.1416 \cdot ({(10.9 \cdot 10.91)}^{2})

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Collisional Cross Section Solution

Follow our step by step solution on how to calculate Collisional Cross Section?

FIRST Step Consider the formula

σ AB = π \cdot ({(r A \cdot r B)}^{2})

Next Step Substitute values of Variables

∴

σ AB = π \cdot ({(10.9m \cdot 10.91m)}^{2})

Next Step Substitute values of Constants

∴

σ AB = 3.1416 \cdot ({(10.9m \cdot 10.91m)}^{2})

Next Step Prepare to Evaluate

∴

σ AB = 3.1416 \cdot ({(10.9 \cdot 10.91)}^{2})

Next Step Evaluate

∴

σ AB = 44427.5505562986m²

LAST Step Rounding Answer

∴

σ AB = 44427.5506m²

Collisional Cross Section Formula Elements

Variables

Constants

Collisional Cross Section

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.

Symbol: σ_AB

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Collisional Cross Section

Radius of Molecule A

Radius of Molecule A is defined as one half the distance (d) between two nuclei in a diatomic molecule.

Symbol: r_A

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius of Molecule A

Radius of Molecule B

Radius of Molecule B is defined as one half the distance (d) between two nuclei in a diatomic molecule.

Symbol: r_B

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius of Molecule B

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other Formulas to find Collisional Cross Section

Go Collision Cross Section in Ideal Gas

σ AB = (\frac{Z}{n A} \cdot n B) \cdot \sqrt{π \cdot \frac{μ AB}{8} \cdot [BoltZ] \cdot T}

Other formulas in Molecular Reaction Dynamics category

Go Number of Bimolecular Collision per Unit Time per Unit Volume

Z = n A \cdot n B \cdot v beam \cdot A

Go Number Density for A Molecules using Collision Rate Constant

n A = \frac{Z}{v beam \cdot n B \cdot A}

Go Cross Sectional Area using Rate of Molecular Collisions

A = \frac{Z}{v beam \cdot n B \cdot n A}

Go Vibrational Frequency given Boltzmann's Constant

v vib = \frac{[BoltZ] \cdot T}{[hP]}

How to Evaluate Collisional Cross Section?

Collisional Cross Section evaluator uses Collisional Cross Section = pi*((Radius of Molecule A*Radius of Molecule B)^2) to evaluate 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 evaluate Collisional Cross Section using this online evaluator? To use this online evaluator for Collisional Cross Section, enter Radius of Molecule A (r_A) & Radius of Molecule B (r_B) and hit the calculate button.

FAQs on Collisional Cross Section

What is the formula to find Collisional Cross Section?

The formula of Collisional Cross Section is expressed as Collisional Cross Section = pi*((Radius of Molecule A*Radius of Molecule B)^2). Here is an example- 44427.55 = pi*((10.9*10.91)^2).

How to calculate Collisional Cross Section?

With Radius of Molecule A (r_A) & Radius of Molecule B (r_B) we can find Collisional Cross Section using the formula - Collisional Cross Section = pi*((Radius of Molecule A*Radius of Molecule B)^2). This formula also uses Archimedes' constant .

What are the other ways to Calculate Collisional Cross Section?

Here are the different ways to Calculate Collisional Cross Section-

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)

Can the Collisional Cross Section be negative?

No, the Collisional Cross Section, measured in Area cannot be negative.

Which unit is used to measure Collisional Cross Section?

Collisional Cross Section is usually measured using the Square Meter[m²] for Area. Square Kilometer[m²], Square Centimeter[m²], Square Millimeter[m²] are the few other units in which Collisional Cross Section can be measured.

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Collisional Cross Section Formula

​GoCollision Cross Section in Ideal Gas Formula

Collisional Cross Section Example

Collisional Cross Section Solution

Collisional Cross Section Formula Elements

Other Formulas to find Collisional Cross Section

Other formulas in Molecular Reaction Dynamics category

How to Evaluate Collisional Cross Section?

FAQs on Collisional Cross Section

Variable Name

GoCollision Cross Section in Ideal Gas Formula