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Carrier Lifetime Formula

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Carrier Lifetime is defined as the average time it takes for a minority carrier to recombine. Check FAQs

T a = \frac{1}{α r \cdot (p 0 + n 0)}

T_a - Carrier Lifetime?α_r - Proportionality for Recombination?p₀ - Holes Concentration in Valance Band?n₀ - Electron Concentration in Conduction Band?

Carrier Lifetime Example

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Here is how the Carrier Lifetime equation looks like with Values.

Here is how the Carrier Lifetime equation looks like with Units.

Here is how the Carrier Lifetime equation looks like.

3.6E-6 = \frac{1}{1.2E-6 \cdot (2.3E+11 + 1.4E+7)}

3.6E-6s = \frac{1}{1.2E-6m³/s \cdot (2.3E+111/m³ + 1.4E+71/m³)}

3.6E-6 = \frac{1}{1.2E-6 \cdot (2.3E+11 + 1.4E+7)}

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Carrier Lifetime Solution

Follow our step by step solution on how to calculate Carrier Lifetime?

FIRST Step Consider the formula

T a = \frac{1}{α r \cdot (p 0 + n 0)}

Next Step Substitute values of Variables

∴

T a = \frac{1}{1.2E-6m³/s \cdot (2.3E+111/m³ + 1.4E+71/m³)}

Next Step Prepare to Evaluate

∴

T a = \frac{1}{1.2E-6 \cdot (2.3E+11 + 1.4E+7)}

Next Step Evaluate

∴

T a = 3.62296787731761E-06s

LAST Step Rounding Answer

∴

T a = 3.6E-6s

Carrier Lifetime Formula Elements

Variables

Carrier Lifetime

Carrier Lifetime is defined as the average time it takes for a minority carrier to recombine.

Symbol: T_a

Measurement: TimeUnit: s

Note: Value can be positive or negative.

Formulas to find Carrier Lifetime

Proportionality for Recombination

Proportionality for recombination is denoted by the symbol αr.

Symbol: α_r

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Proportionality for Recombination

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

Electron Concentration in Conduction Band

Electron Concentration in Conduction Band refers to the quantity or abundance of free electrons available for conduction in the conduction band of a semiconductor material.

Symbol: n₀

Measurement: Carrier ConcentrationUnit: 1/m³

Note: Value should be greater than 0.

Formulas to find Electron Concentration in Conduction Band

Other formulas in Energy Band and Charge Carrier category

Go Distribution Coefficient

k d = \frac{C solid}{C L}

Go Photoelectron Energy

E photo = [hP] \cdot f

Go Fermi Function

f E = \frac{n 0}{N c}

Go Conduction Band Energy

E c = E g + E v

How to Evaluate Carrier Lifetime?

Carrier Lifetime evaluator uses Carrier Lifetime = 1/(Proportionality for Recombination*(Holes Concentration in Valance Band+Electron Concentration in Conduction Band)) to evaluate the Carrier Lifetime, The Carrier Lifetime formula is defined as carrier lifetime is defined as the average time it takes for a minority carrier to recombine. The process through which this is done is typically known as minority carrier recombination. Carrier Lifetime is denoted by T_a symbol.

How to evaluate Carrier Lifetime using this online evaluator? To use this online evaluator for Carrier Lifetime, enter Proportionality for Recombination (α_r), Holes Concentration in Valance Band (p₀) & Electron Concentration in Conduction Band (n₀) and hit the calculate button.

FAQs on Carrier Lifetime

What is the formula to find Carrier Lifetime?

The formula of Carrier Lifetime is expressed as Carrier Lifetime = 1/(Proportionality for Recombination*(Holes Concentration in Valance Band+Electron Concentration in Conduction Band)). Here is an example- 3.6E-6 = 1/(1.2E-06*(230000000000+14000000)).

How to calculate Carrier Lifetime?

With Proportionality for Recombination (α_r), Holes Concentration in Valance Band (p₀) & Electron Concentration in Conduction Band (n₀) we can find Carrier Lifetime using the formula - Carrier Lifetime = 1/(Proportionality for Recombination*(Holes Concentration in Valance Band+Electron Concentration in Conduction Band)).

Can the Carrier Lifetime be negative?

Yes, the Carrier Lifetime, measured in Time can be negative.

Which unit is used to measure Carrier Lifetime?

Carrier Lifetime is usually measured using the Second[s] for Time. Millisecond[s], Microsecond[s], Nanosecond[s] are the few other units in which Carrier Lifetime can be measured.

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Carrier Lifetime Formula

Carrier Lifetime Example

Carrier Lifetime Solution

Carrier Lifetime Formula Elements

Other formulas in Energy Band and Charge Carrier category

How to Evaluate Carrier Lifetime?

FAQs on Carrier Lifetime

Variable Name