Average Electron Density using Nanoparticle Density and Spill-out Amplitude Calculator

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✖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 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.ⓘ Spill Out Amplitude [d_so]			+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 Average Electron Density is the average of total density of electrons present in a bulk material.ⓘ Average Electron Density using Nanoparticle Density and Spill-out Amplitude [n_e-avg]

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Formula

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Average Electron Density using Nanoparticle Density and Spill-out Amplitude

Formula

n e-avg = n e \cdot (1 - (3 \cdot \frac{d so}{D}))

Example

32 = 40 \cdot (1 - (3 \cdot \frac{20 nm}{300 nm}))

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

STEP 0: Pre-Calculation Summary

Formula Used

Average Electron Density = Electron Density*(1-(3*Spill Out Amplitude/Nanoparticle Diameter))
n_e-avg = n_e*(1-(3*d_so/D))
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.
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

Electron Density: 40 --> 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

n_e-avg = n_e*(1-(3*d_so/D)) --> 40*(1-(3*2E-08/3E-07))

Evaluating ... ...

n_e-avg = 32

STEP 3: Convert Result to Output's Unit

32 --> No Conversion Required

FINAL ANSWER

32 <-- Average Electron Density

(Calculation completed in 00.004 seconds)

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

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

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

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

How to calculate Average Electron Density using Nanoparticle Density and Spill-out Amplitude using this online calculator? To use this online calculator for Average Electron Density using Nanoparticle Density and Spill-out Amplitude, enter Electron Density (n_e), Spill Out Amplitude (d_so) & Nanoparticle Diameter (D) and hit the calculate button. Here is how the Average Electron Density using Nanoparticle Density and Spill-out Amplitude calculation can be explained with given input values -> -40 = 40*(1-(3*2E-08/3E-07)).

FAQ

What is Average Electron Density using Nanoparticle Density and Spill-out Amplitude?

The Average Electron Density using Nanoparticle Density and Spill-out Amplitude formula is defined as the product of electron density and cube of the nanoparticle diameter, divided by the cube of electron diameter, which can also be calculated using spill-out amplitude and nanoparticle diameter and is represented as n_e-avg = n_e*(1-(3*d_so/D)) or Average Electron Density = Electron Density*(1-(3*Spill Out Amplitude/Nanoparticle Diameter)). 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 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 Average Electron Density using Nanoparticle Density and Spill-out Amplitude?

The Average Electron Density using Nanoparticle Density and Spill-out Amplitude formula is defined as the product of electron density and cube of the nanoparticle diameter, divided by the cube of electron diameter, which can also be calculated using spill-out amplitude and nanoparticle diameter is calculated using Average Electron Density = Electron Density*(1-(3*Spill Out Amplitude/Nanoparticle Diameter)). To calculate Average Electron Density using Nanoparticle Density and Spill-out Amplitude, you need Electron Density (n_e), Spill Out Amplitude (d_so) & Nanoparticle Diameter (D). With our tool, you need to enter the respective value for 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 Average Electron Density?

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

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

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