Average Electron Density using Electron Density and Electron diameter Calculator

Chemistry Engineering Financial Health More >>

↳

Nanomaterials and Nanochemistry Analytical chemistry Atmospheric Chemistry Atomic structure More >>

⤿

Optical Properties of Metallic Nanoparticles Electronic Structure in Clusters and Nanoparticles Magnetism in Nanomaterials Mechanical and Nanomechanical Properties More >>

✖The Electron Density is the measure of the probability of an electron being present at an infinitesimal element of space surrounding any given point.ⓘ Electron Density [n_e]			+10% -10%
✖The Nanoparticle Diameter is any straight line segment that passes through the center of the nanoparticle and whose endpoints lie on the nanoparticle boundary.ⓘ Nanoparticle Diameter [D]			+10% -10%
✖The Electron Diameter is any straight line segment that passes through the center of the electron and whose endpoints lie on the electron boundary.ⓘ Electron Diameter [D_e]			+10% -10%

✖The Average Electron Density is the average of total density of electrons present in a bulk material.ⓘ Average Electron Density using Electron Density and Electron diameter [n_e-avg]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Chemistry Formula PDF PDF Image

Average Electron Density using Electron Density and Electron diameter Solution

STEP 0: Pre-Calculation Summary

Formula Used

Average Electron Density = (Electron Density*Nanoparticle Diameter^3)/Electron Diameter^3
n_e-avg = (n_e*D^3)/D_e^3
This formula uses 4 Variables

Variables Used

Average Electron Density - The Average Electron Density is the average of total density of electrons present in a bulk material.
Electron Density - The Electron Density is the measure of the probability of an electron being present at an infinitesimal element of space surrounding any given point.
Nanoparticle Diameter - (Measured in Meter) - The Nanoparticle Diameter is any straight line segment that passes through the center of the nanoparticle and whose endpoints lie on the nanoparticle boundary.
Electron Diameter - (Measured in Meter) - The Electron Diameter is any straight line segment that passes through the center of the electron and whose endpoints lie on the electron boundary.

STEP 1: Convert Input(s) to Base Unit

Electron Density: 40 --> No Conversion Required
Nanoparticle Diameter: 300 Nanometer --> 3E-07 Meter (Check conversion here)
Electron Diameter: 700 Nanometer --> 7E-07 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

n_e-avg = (n_e*D^3)/D_e^3 --> (40*3E-07^3)/7E-07^3

Evaluating ... ...

n_e-avg = 3.14868804664723

STEP 3: Convert Result to Output's Unit

3.14868804664723 --> No Conversion Required

FINAL ANSWER

3.14868804664723 ≈ 3.148688 <-- Average Electron Density

(Calculation completed in 00.006 seconds)

You are here -

Home » Chemistry » Nanomaterials and Nanochemistry » Optical Properties of Metallic Nanoparticles » Average Electron Density using Electron Density and Electron diameter

Credits

Created by Abhijit gharphalia

national institute of technology meghalaya (NIT Meghalaya), Shillong

Abhijit gharphalia has created this Calculator and 50+ more calculators!

Verified by Soupayan banerjee

National University of Judicial Science (NUJS), Kolkata

Soupayan banerjee has verified this Calculator and 900+ more calculators!

< Optical Properties of Metallic Nanoparticles Calculators

Volume Fraction using Polarization and Dipole Moment of Sphere

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

Number of Nanoparticles using Volume Fraction and Volume of Nanoparticle

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

Volume Fraction using Volume of Nanoparticles

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

Volume of Nanoparticles using Volume Fraction

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

Average Electron Density using Electron Density and Electron diameter Formula

LaTeX Go

Average Electron Density = (Electron Density*Nanoparticle Diameter^3)/Electron Diameter^3
n_e-avg = (n_e*D^3)/D_e^3

What is red shift?

Redshift is the displacement of the spectrum of an astronomical object towards longer (red) wavelengths.

How to Calculate Average Electron Density using Electron Density and Electron diameter?

Average Electron Density using Electron Density and Electron diameter calculator uses Average Electron Density = (Electron Density*Nanoparticle Diameter^3)/Electron Diameter^3 to calculate the Average Electron Density, The Average Electron Density using Electron Density and Electron diameter formula is defined as the product of electron density and cube of the nanoparticle diameter, divided by the cube of electron diameter. Average Electron Density is denoted by n_e-avg symbol.

How to calculate Average Electron Density using Electron Density and Electron diameter using this online calculator? To use this online calculator for Average Electron Density using Electron Density and Electron diameter, enter Electron Density (n_e), Nanoparticle Diameter (D) & Electron Diameter (D_e) and hit the calculate button. Here is how the Average Electron Density using Electron Density and Electron diameter calculation can be explained with given input values -> 3.148688 = (40*3E-07^3)/7E-07^3.

FAQ

What is Average Electron Density using Electron Density and Electron diameter?

The Average Electron Density using Electron Density and Electron diameter formula is defined as the product of electron density and cube of the nanoparticle diameter, divided by the cube of electron diameter and is represented as n_e-avg = (n_e*D^3)/D_e^3 or Average Electron Density = (Electron Density*Nanoparticle Diameter^3)/Electron Diameter^3. The Electron Density is the measure of the probability of an electron being present at an infinitesimal element of space surrounding any given point, The Nanoparticle Diameter is any straight line segment that passes through the center of the nanoparticle and whose endpoints lie on the nanoparticle boundary & The Electron Diameter is any straight line segment that passes through the center of the electron and whose endpoints lie on the electron boundary.

How to calculate Average Electron Density using Electron Density and Electron diameter?

The Average Electron Density using Electron Density and Electron diameter formula is defined as the product of electron density and cube of the nanoparticle diameter, divided by the cube of electron diameter is calculated using Average Electron Density = (Electron Density*Nanoparticle Diameter^3)/Electron Diameter^3. To calculate Average Electron Density using Electron Density and Electron diameter, you need Electron Density (n_e), Nanoparticle Diameter (D) & Electron Diameter (D_e). With our tool, you need to enter the respective value for Electron Density, Nanoparticle Diameter & Electron Diameter 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 Average Electron Density?

In this formula, Average Electron Density uses Electron Density, Nanoparticle Diameter & Electron Diameter. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

Home

FREE PDFs

🔍 Search