Intrinsic Electron Collision Frequency using Total Collision Rate Calculator

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Optical Properties of Metallic Nanoparticles

Electronic Structure in Clusters and Nanoparticles

Mechanical and Nanomechanical Properties

Size Effects on Structure and Morphology of Free or Supported Nanoparticles

✖The Total Collision Rate is simply the collision frequency which describes the rate of collisions between two atomic or molecular species in a given volume, per unit time.ⓘ Total Collision Rate [γ]			+10% -10%
✖The Proportionality Factor is the constant value of the ratio of two proportional quantities x and y.ⓘ Proportionality Factor [g]			+10% -10%
✖The Fermi Speed of Electron is the measure of the average speed of electrons in a metal or other conductor.ⓘ Fermi Speed of Electron [ς_F]			+10% -10%
✖The Diameter of Spheres is the maximum distance between two antipodal points on the surface of the sphere.ⓘ Diameter of Spheres [D]			+10% -10%

✖The Intrinsic Electron Collision Rate is the average rate in which two electrons collide for a given system and is used as the average number of collisions per unit of time .ⓘ Intrinsic Electron Collision Frequency using Total Collision Rate [γ₀]

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Formula

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Intrinsic Electron Collision Frequency using Total Collision Rate

Formula

`"γ"_{"0"} = "γ"-("g"*"ς"_{"F"})/"D"`

Example

`"99.505"="100"-("0.99"*"0.00001m/s")/"0.00002m"`

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Intrinsic Electron Collision Frequency using Total Collision Rate Solution

STEP 0: Pre-Calculation Summary

Formula Used

Intrinsic Electron Collision Rate = Total Collision Rate-(Proportionality Factor*Fermi Speed of Electron)/Diameter of Spheres
γ₀ = γ-(g*ς_F)/D
This formula uses 5 Variables

Variables Used

Intrinsic Electron Collision Rate - The Intrinsic Electron Collision Rate is the average rate in which two electrons collide for a given system and is used as the average number of collisions per unit of time .
Total Collision Rate - The Total Collision Rate is simply the collision frequency which describes the rate of collisions between two atomic or molecular species in a given volume, per unit time.
Proportionality Factor - The Proportionality Factor is the constant value of the ratio of two proportional quantities x and y.
Fermi Speed of Electron - (Measured in Meter per Second) - The Fermi Speed of Electron is the measure of the average speed of electrons in a metal or other conductor.
Diameter of Spheres - (Measured in Meter) - The Diameter of Spheres is the maximum distance between two antipodal points on the surface of the sphere.

STEP 1: Convert Input(s) to Base Unit

Total Collision Rate: 100 --> No Conversion Required
Proportionality Factor: 0.99 --> No Conversion Required
Fermi Speed of Electron: 1E-05 Meter per Second --> 1E-05 Meter per Second No Conversion Required
Diameter of Spheres: 2E-05 Meter --> 2E-05 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

γ₀ = γ-(g*ς_F)/D --> 100-(0.99*1E-05)/2E-05

Evaluating ... ...

γ₀ = 99.505

STEP 3: Convert Result to Output's Unit

99.505 --> No Conversion Required

FINAL ANSWER

99.505 <-- Intrinsic Electron Collision Rate

(Calculation completed in 00.004 seconds)

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< 23 Optical Properties of Metallic Nanoparticles Calculators

Total Polarization of Composite Material using Dielectric Constants and Incident Field

Go Total polarization of Composite Material = Vacuum Dielectric Constant*(Real Dielectric Constant-1)*Incident Field+((Volume Fraction*Dipole Moment of Sphere)/Volume of Nanoparticle)

Total Collision Rate using Intrinsic Electron Collision Frequency

Go Total Collision Rate = Intrinsic Electron Collision Rate+(Proportionality Factor*Fermi Speed of Electron)/Diameter of Spheres

Intrinsic Electron Collision Frequency using Total Collision Rate

Go Intrinsic Electron Collision Rate = Total Collision Rate-(Proportionality Factor*Fermi Speed of Electron)/Diameter of Spheres

Local field using Incident Field and Polarization

Go Local Field = Incident Field+(Polarization due to Sphere/(3*Real Dielectric Constant*Vacuum Dielectric Constant))

Incident Field using Local Field and Polarization

Go Incident Field = Local Field-(Polarization due to Sphere/(3*Real Dielectric Constant*Vacuum Dielectric Constant))

Polarization due to Sphere using Local field and Incident Field

Go Polarization due to Sphere = (Local Field-Incident Field)*3*Real Dielectric Constant*Vacuum Dielectric Constant

Polarization Due to Metallic Particle using Dielectric Constants and Incident Field

Go Polarization due to Metallic Particle = Vacuum Dielectric Constant*(Real Dielectric Constant-1)*Incident Field

Average Electron Density using Nanoparticle Density and Spill-out Amplitude

Go Average Electron Density = Electron Density*(1-(3*Spill Out Amplitude/Nanoparticle Diameter))

Electron Density using Average Electron Density and Spill-out Amplitude

Go Electron Density = Average Electron Density/(1-(3*Spill Out Amplitude/Nanoparticle Diameter))

Volume Fraction using Polarization and Dipole Moment of Sphere

Go Volume Fraction = Polarization due to Sphere*Volume of Nanoparticle/Dipole Moment of Sphere

Polarization due to Sphere using Dipole moment of Sphere

Go Polarization due to Sphere = Volume Fraction*Dipole Moment of Sphere/Volume of Nanoparticle

Dipole moment of Sphere using Polarization due to Sphere

Go Dipole Moment of Sphere = Polarization due to Sphere*Volume of Nanoparticle/Volume Fraction

Average Electron Density using Electron Density and Electron diameter

Go Average Electron Density = (Electron Density*Nanoparticle Diameter^3)/Electron Diameter^3

Electron Density using Average Electron Density and Electron diameter

Go Electron Density = Average Electron Density*Electron Diameter^3/Nanoparticle Diameter^3

Number of Nanoparticles using Volume Fraction and Volume of Nanoparticle

Go Number of Nanoparticles = (Volume Fraction*Volume of Material)/Volume of Nanoparticle

Volume Fraction using Volume of Nanoparticles

Go Volume Fraction = (Number of Nanoparticles*Volume of Nanoparticle)/Volume of Material

Volume of Nanoparticles using Volume Fraction

Go Volume of Nanoparticle = (Volume Fraction*Volume of Material)/Number of Nanoparticles

Total Polarization of Composite Material using Polarization due to Metallic Particle and Sphere

Go Total polarization of Composite Material = Polarization due to Metallic Particle+Polarization due to Sphere

Polarization Due to Metallic Particle using Total Polarization and Polarization Due to Sphere

Go Polarization due to Metallic Particle = Total polarization of Composite Material-Polarization due to Sphere

Polarization Due to Sphere using Polarization Due to Metallic Particle and Total Polarization

Go Polarization due to Sphere = Total polarization of Composite Material-Polarization due to Metallic Particle

Nanoparticle Diameter using Electron Diameter and Spill-out Amplitude

Go Nanoparticle Diameter = Electron Diameter-Spill Out Amplitude

Electron Diameter using Nanoparticle Diameter and Spill-out Amplitude

Go Electron Diameter = Nanoparticle Diameter+Spill Out Amplitude

Spill-out Amplitude using Nanoparticle Diameter and Electron Diameter

Go Spill Out Amplitude = Electron Diameter-Nanoparticle Diameter

Intrinsic Electron Collision Frequency using Total Collision Rate Formula

Intrinsic Electron Collision Rate = Total Collision Rate-(Proportionality Factor*Fermi Speed of Electron)/Diameter of Spheres
γ₀ = γ-(g*ς_F)/D

What is Drude model?

The Drude model of electrical conduction was proposed in 1900 by Paul Drude to explain the transport properties of electrons in materials, especially metals. It assumes that electrons scatter from all the atoms in a solid and that the current J and voltage V driving the current are related to the resistance R of the material.

How to Calculate Intrinsic Electron Collision Frequency using Total Collision Rate?

Intrinsic Electron Collision Frequency using Total Collision Rate calculator uses Intrinsic Electron Collision Rate = Total Collision Rate-(Proportionality Factor*Fermi Speed of Electron)/Diameter of Spheres to calculate the Intrinsic Electron Collision Rate, The Intrinsic Electron collision Frequency using Total Collision Rate formula is defined as the subtraction of total collision rate and the product of proportionality factor and fermi speed of electron divided by diameter of sphere. Intrinsic Electron Collision Rate is denoted by γ₀ symbol.

How to calculate Intrinsic Electron Collision Frequency using Total Collision Rate using this online calculator? To use this online calculator for Intrinsic Electron Collision Frequency using Total Collision Rate, enter Total Collision Rate (γ), Proportionality Factor (g), Fermi Speed of Electron (ς_F) & Diameter of Spheres (D) and hit the calculate button. Here is how the Intrinsic Electron Collision Frequency using Total Collision Rate calculation can be explained with given input values -> 99.505 = 100-(0.99*1E-05)/2E-05.

FAQ

What is Intrinsic Electron Collision Frequency using Total Collision Rate?

The Intrinsic Electron collision Frequency using Total Collision Rate formula is defined as the subtraction of total collision rate and the product of proportionality factor and fermi speed of electron divided by diameter of sphere and is represented as γ₀ = γ-(g*ς_F)/D or Intrinsic Electron Collision Rate = Total Collision Rate-(Proportionality Factor*Fermi Speed of Electron)/Diameter of Spheres. The Total Collision Rate is simply the collision frequency which describes the rate of collisions between two atomic or molecular species in a given volume, per unit time, The Proportionality Factor is the constant value of the ratio of two proportional quantities x and y, The Fermi Speed of Electron is the measure of the average speed of electrons in a metal or other conductor & The Diameter of Spheres is the maximum distance between two antipodal points on the surface of the sphere.

How to calculate Intrinsic Electron Collision Frequency using Total Collision Rate?

The Intrinsic Electron collision Frequency using Total Collision Rate formula is defined as the subtraction of total collision rate and the product of proportionality factor and fermi speed of electron divided by diameter of sphere is calculated using Intrinsic Electron Collision Rate = Total Collision Rate-(Proportionality Factor*Fermi Speed of Electron)/Diameter of Spheres. To calculate Intrinsic Electron Collision Frequency using Total Collision Rate, you need Total Collision Rate (γ), Proportionality Factor (g), Fermi Speed of Electron (ς_F) & Diameter of Spheres (D). With our tool, you need to enter the respective value for Total Collision Rate, Proportionality Factor, Fermi Speed of Electron & Diameter of Spheres 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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