Electron Density using Average Electron Density and Spill-out Amplitude Solution

STEP 0: Pre-Calculation Summary
Formula Used
Electron Density = Average Electron Density/(1-(3*Spill Out Amplitude/Nanoparticle Diameter))
ne = ne-avg/(1-(3*dso/D))
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.
Spill Out Amplitude - (Measured in Meter) - The Spill Out Amplitude is the measure of its change in a single period where the electron wave functions extend beyond the sphere defined by the crystal lattice.
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
Spill Out Amplitude: 20 Nanometer --> 2E-08 Meter (Check conversion ​here)
Nanoparticle Diameter: 300 Nanometer --> 3E-07 Meter (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ne = ne-avg/(1-(3*dso/D)) --> 50/(1-(3*2E-08/3E-07))
Evaluating ... ...
ne = 62.5
STEP 3: Convert Result to Output's Unit
62.5 --> No Conversion Required
FINAL ANSWER
62.5 <-- Electron Density
(Calculation completed in 00.004 seconds)

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Electron Density using Average Electron Density and Spill-out Amplitude Formula

​LaTeX ​Go
Electron Density = Average Electron Density/(1-(3*Spill Out Amplitude/Nanoparticle Diameter))
ne = ne-avg/(1-(3*dso/D))

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How to Calculate Electron Density using Average Electron Density and Spill-out Amplitude?

Electron Density using Average Electron Density and Spill-out Amplitude calculator uses Electron Density = Average Electron Density/(1-(3*Spill Out Amplitude/Nanoparticle Diameter)) to calculate the Electron Density, The Electron Density using Average Electron Density and Spill-out Amplitude formula is defined as the product of average electron density and cube of electron diameter, divided by the cube of the nanoparticle diameter, which can also be calculated using spill-out amplitude and nanoparticle diameter. Electron Density is denoted by ne symbol.

How to calculate Electron Density using Average Electron Density and Spill-out Amplitude using this online calculator? To use this online calculator for Electron Density using Average Electron Density and Spill-out Amplitude, enter Average Electron Density (ne-avg), Spill Out Amplitude (dso) & Nanoparticle Diameter (D) and hit the calculate button. Here is how the Electron Density using Average Electron Density and Spill-out Amplitude calculation can be explained with given input values -> -50 = 50/(1-(3*2E-08/3E-07)).

FAQ

What is Electron Density using Average Electron Density and Spill-out Amplitude?
The Electron Density using Average Electron Density and Spill-out Amplitude formula is defined as the product of average electron density and cube of electron diameter, divided by the cube of the nanoparticle diameter, which can also be calculated using spill-out amplitude and nanoparticle diameter and is represented as ne = ne-avg/(1-(3*dso/D)) or Electron Density = Average Electron Density/(1-(3*Spill Out Amplitude/Nanoparticle Diameter)). The Average Electron Density is the average of total density of electrons present in a bulk material, The Spill Out Amplitude is the measure of its change in a single period where the electron wave functions extend beyond the sphere defined by the crystal lattice & 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 Spill-out Amplitude?
The Electron Density using Average Electron Density and Spill-out Amplitude formula is defined as the product of average electron density and cube of electron diameter, divided by the cube of the nanoparticle diameter, which can also be calculated using spill-out amplitude and nanoparticle diameter is calculated using Electron Density = Average Electron Density/(1-(3*Spill Out Amplitude/Nanoparticle Diameter)). To calculate Electron Density using Average Electron Density and Spill-out Amplitude, you need Average Electron Density (ne-avg), Spill Out Amplitude (dso) & Nanoparticle Diameter (D). With our tool, you need to enter the respective value for Average Electron Density, Spill Out Amplitude & 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, Spill Out Amplitude & Nanoparticle Diameter. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Electron Density = Average Electron Density*Electron Diameter^3/Nanoparticle Diameter^3
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