Electron Density using Average Electron Density and Electron diameter Calculator

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✖The Average Electron Density is the average of total density of electrons present in a bulk material.ⓘ Average Electron Density [n_e-avg]			+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 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 Density is the measure of the probability of an electron being present at an infinitesimal element of space surrounding any given point.ⓘ Electron Density using Average Electron Density and Electron diameter [n_e]

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Formula

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Electron Density using Average Electron Density and Electron diameter

Formula

n e = n e-avg \cdot \frac{{D e}^{3}}{D^{3}}

Example

635.1852 = 50 \cdot \frac{{700 nm}^{3}}{{300 nm}^{3}}

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Electron Density using Average Electron Density and Electron diameter Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
Average Electron Density - The Average Electron Density is the average of total density of electrons present in a bulk material.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Average Electron Density: 50 --> No Conversion Required
Electron Diameter: 700 Nanometer --> 7E-07 Meter (Check conversion here)
Nanoparticle Diameter: 300 Nanometer --> 3E-07 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

n_e = n_e-avg*D_e^3/D^3 --> 50*7E-07^3/3E-07^3

Evaluating ... ...

n_e = 635.185185185185

STEP 3: Convert Result to Output's Unit

635.185185185185 --> No Conversion Required

FINAL ANSWER

635.185185185185 ≈ 635.1852 <-- Electron Density

(Calculation completed in 00.004 seconds)

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Electron Density using Average Electron Density and Electron diameter Formula

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

What is surface plasmon resonance?

Surface Plasmon Resonance (SPR) is an optical phenomenon that occurs when polarized light hits a metal surface at the interface of media with different refractive indices.

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

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

How to calculate Electron Density using Average Electron Density and Electron diameter using this online calculator? To use this online calculator for Electron Density using Average Electron Density and Electron diameter, enter Average Electron Density (n_e-avg), Electron Diameter (D_e) & Nanoparticle Diameter (D) and hit the calculate button. Here is how the Electron Density using Average Electron Density and Electron diameter calculation can be explained with given input values -> 635.1852 = 50*7E-07^3/3E-07^3.

FAQ

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

The Electron Density using Average Electron Density and Electron diameter formula is defined as the product of average electron density and cube of electron diameter, divided by the cube of the nanoparticle diameter and is represented as n_e = n_e-avg*D_e^3/D^3 or Electron Density = Average Electron Density*Electron Diameter^3/Nanoparticle Diameter^3. The Average Electron Density is the average of total density of electrons present in a bulk material, The Electron Diameter is any straight line segment that passes through the center of the electron and whose endpoints lie on the electron boundary & The Nanoparticle Diameter is any straight line segment that passes through the center of the nanoparticle and whose endpoints lie on the nanoparticle boundary.

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

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

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

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

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