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Concentration of Holes in Valence Band Formula

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Holes Concentration in Valance Band refers to the quantity or abundance of holes present in the valence band of a semiconductor material. Check FAQs

p 0 = N v \cdot (1 - f E)

p₀ - Holes Concentration in Valance Band?N_v - Effective Density of State in Valence Band?f_E - Fermi Function?

Concentration of Holes in Valence Band Example

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Here is how the Concentration of Holes in Valence Band equation looks like with Values.

Here is how the Concentration of Holes in Valence Band equation looks like with Units.

Here is how the Concentration of Holes in Valence Band equation looks like.

2.3E+11 = 2.4E+11 \cdot (1 - 0.022)

2.3E+111/m³ = 2.4E+111/m³ \cdot (1 - 0.022)

2.3E+11 = 2.4E+11 \cdot (1 - 0.022)

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Concentration of Holes in Valence Band Solution

Follow our step by step solution on how to calculate Concentration of Holes in Valence Band?

FIRST Step Consider the formula

p 0 = N v \cdot (1 - f E)

Next Step Substitute values of Variables

∴

p 0 = 2.4E+111/m³ \cdot (1 - 0.022)

Next Step Prepare to Evaluate

∴

p 0 = 2.4E+11 \cdot (1 - 0.022)

Next Step Evaluate

∴

p 0 = 2347200000001/m³

LAST Step Rounding Answer

∴

p 0 = 2.3E+111/m³

Concentration of Holes in Valence Band Formula Elements

Variables

Holes Concentration in Valance Band

Holes Concentration in Valance Band refers to the quantity or abundance of holes present in the valence band of a semiconductor material.

Symbol: p₀

Measurement: Carrier ConcentrationUnit: 1/m³

Note: Value should be greater than 0.

Formulas to find Holes Concentration in Valance Band

Effective Density of State in Valence Band

Effective Density of State in Valence Band is defined as the band of electron orbitals that electrons can jump out of, moving into the conduction band when excited.

Symbol: N_v

Measurement: Carrier ConcentrationUnit: 1/m³

Note: Value should be greater than 0.

Formulas to find Effective Density of State in Valence Band

Fermi Function

Fermi function is defined as a term used to describe the top of the collection of electron energy levels at absolute zero temperature.

Symbol: f_E

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Fermi Function

Other formulas in Energy Band and Charge Carrier category

Go Energy Gap

E g = E c - E v

Go Valence Band Energy

E v = E c - E g

Go Steady State Electron Concentration

n ss = n 0 + δ n

Go Energy of Electron given Coulomb's Constant

E e = \frac{n^{2} \cdot π^{2} \cdot {[hP]}^{2}}{2 \cdot [Mass-e] \cdot L^{2}}

How to Evaluate Concentration of Holes in Valence Band?

Concentration of Holes in Valence Band evaluator uses Holes Concentration in Valance Band = Effective Density of State in Valence Band*(1-Fermi Function) to evaluate the Holes Concentration in Valance Band, The Concentration of Holes in Valence Band formula is defined as acceptor creates one hole in the valence band, and the hole concentration, p, in the valence band of a p-type semiconductor is approximately equal to the acceptor concentration, Na. Holes Concentration in Valance Band is denoted by p₀ symbol.

How to evaluate Concentration of Holes in Valence Band using this online evaluator? To use this online evaluator for Concentration of Holes in Valence Band, enter Effective Density of State in Valence Band (N_v) & Fermi Function (f_E) and hit the calculate button.

FAQs on Concentration of Holes in Valence Band

What is the formula to find Concentration of Holes in Valence Band?

The formula of Concentration of Holes in Valence Band is expressed as Holes Concentration in Valance Band = Effective Density of State in Valence Band*(1-Fermi Function). Here is an example- 2.3E+11 = 240000000000*(1-0.022).

How to calculate Concentration of Holes in Valence Band?

With Effective Density of State in Valence Band (N_v) & Fermi Function (f_E) we can find Concentration of Holes in Valence Band using the formula - Holes Concentration in Valance Band = Effective Density of State in Valence Band*(1-Fermi Function).

Can the Concentration of Holes in Valence Band be negative?

No, the Concentration of Holes in Valence Band, measured in Carrier Concentration cannot be negative.

Which unit is used to measure Concentration of Holes in Valence Band?

Concentration of Holes in Valence Band is usually measured using the 1 per Cubic Meter[1/m³] for Carrier Concentration. 1 per Cubic Centimeter[1/m³], per Liter[1/m³] are the few other units in which Concentration of Holes in Valence Band can be measured.

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Concentration of Holes in Valence Band Formula

Concentration of Holes in Valence Band Example

Concentration of Holes in Valence Band Solution

Concentration of Holes in Valence Band Formula Elements

Other formulas in Energy Band and Charge Carrier category

How to Evaluate Concentration of Holes in Valence Band?

FAQs on Concentration of Holes in Valence Band

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