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Quantum Capacitance of Quantum Dot Formula

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Quantum capacitance of Quantum Dot is a fundamental quantity that can directly reveal many-body interactions among electrons and is expected to play a critical role in nanoelectronics. Check FAQs

C N = \frac{{[Charge-e]}^{2}}{IP N - EA N}

C_N - Quantum Capacitance of Quantum Dot?IP_N - Ionization Potential of N Particle?EA_N - Electron Affinity of N Particle System?[Charge-e] - Charge of electron?

Quantum Capacitance of Quantum Dot Example

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Here is how the Quantum Capacitance of Quantum Dot equation looks like with Values.

Here is how the Quantum Capacitance of Quantum Dot equation looks like with Units.

Here is how the Quantum Capacitance of Quantum Dot equation looks like.

3E-20 = \frac{{1.6E-19}^{2}}{6.11 - 0.75}

3E-20F = \frac{{1.6E-19C}^{2}}{6.11eV - 0.75eV}

3E-20 = \frac{{1.6E-19}^{2}}{6.11 - 0.75}

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Quantum Capacitance of Quantum Dot Solution

Follow our step by step solution on how to calculate Quantum Capacitance of Quantum Dot?

FIRST Step Consider the formula

C N = \frac{{[Charge-e]}^{2}}{IP N - EA N}

Next Step Substitute values of Variables

∴

C N = \frac{{[Charge-e]}^{2}}{6.11eV - 0.75eV}

Next Step Substitute values of Constants

∴

C N = \frac{{1.6E-19C}^{2}}{6.11eV - 0.75eV}

Next Step Convert Units

∴

C N = \frac{{1.6E-19C}^{2}}{9.8E-19J - 1.2E-19J}

Next Step Prepare to Evaluate

∴

C N = \frac{{1.6E-19}^{2}}{9.8E-19 - 1.2E-19}

Next Step Evaluate

∴

C N = 2.98913416044833E-20F

LAST Step Rounding Answer

∴

C N = 3E-20F

Quantum Capacitance of Quantum Dot Formula Elements

Variables

Constants

Quantum Capacitance of Quantum Dot

Quantum capacitance of Quantum Dot is a fundamental quantity that can directly reveal many-body interactions among electrons and is expected to play a critical role in nanoelectronics.

Symbol: C_N

Measurement: CapacitanceUnit: F

Note: Value can be positive or negative.

Formulas to find Quantum Capacitance of Quantum Dot

Ionization Potential of N Particle

Ionization Potential of N Particle is defined as the total amount of energy required to free an electron, which is revolving in the outermost shell of any atom.

Symbol: IP_N

Measurement: EnergyUnit: eV

Note: Value can be positive or negative.

Formulas to find Ionization Potential of N Particle

Electron Affinity of N Particle System

Electron Affinity of N Particle System is the amount of energy released when an electron attaches to a neutral atom or molecule in the gaseous state to form an anion.

Symbol: EA_N

Measurement: EnergyUnit: eV

Note: Value can be positive or negative.

Formulas to find Electron Affinity of N Particle System

Charge of electron

Charge of electron is a fundamental physical constant, representing the electric charge carried by an electron, which is the elementary particle with a negative electric charge.

Symbol: [Charge-e]

Value: 1.60217662E-19 C

Other formulas in Quantum Dots category

Go Confinement Energy

E confinement = \frac{({[hP]}^{2}) \cdot (π^{2})}{2 \cdot (a^{2}) \cdot μ ex}

Go Coulombic Attraction Energy

E coulombic = - \frac{1.8 \cdot ({[Charge-e]}^{2})}{2 \cdot π \cdot [Permeability-vacuum] \cdot ε r \cdot a}

Go Reduced Mass of Exciton

μ ex = \frac{[Mass-e] \cdot (m e \cdot m h)}{m e + m h}

Go Brus Equation

E emission = E gap + (\frac{{[hP]}^{2}}{8 \cdot (a^{2})}) \cdot ((\frac{1}{[Mass-e] \cdot m e}) + (\frac{1}{[Mass-e] \cdot m h}))

How to Evaluate Quantum Capacitance of Quantum Dot?

Quantum Capacitance of Quantum Dot evaluator uses Quantum Capacitance of Quantum Dot = ([Charge-e]^2)/(Ionization Potential of N Particle-Electron Affinity of N Particle System) to evaluate the Quantum Capacitance of Quantum Dot, The Quantum Capacitance of Quantum Dot formula is defined as a fundamental quantity that can directly reveal many-body interactions among electrons and is expected to play a critical role in nanoelectronics. Quantum capacitance is especially important for low-density-of-states systems, such as a 2-dimensional electronic system in a semiconductor surface or interface or graphene, and can be used to construct an experimental energy functional of electron density. Quantum Capacitance of Quantum Dot is denoted by C_N symbol.

How to evaluate Quantum Capacitance of Quantum Dot using this online evaluator? To use this online evaluator for Quantum Capacitance of Quantum Dot, enter Ionization Potential of N Particle (IP_N) & Electron Affinity of N Particle System (EA_N) and hit the calculate button.

FAQs on Quantum Capacitance of Quantum Dot

What is the formula to find Quantum Capacitance of Quantum Dot?

The formula of Quantum Capacitance of Quantum Dot is expressed as Quantum Capacitance of Quantum Dot = ([Charge-e]^2)/(Ionization Potential of N Particle-Electron Affinity of N Particle System). Here is an example- 3E-20 = ([Charge-e]^2)/(9.78930348630005E-19-1.20163299750001E-19).

How to calculate Quantum Capacitance of Quantum Dot?

With Ionization Potential of N Particle (IP_N) & Electron Affinity of N Particle System (EA_N) we can find Quantum Capacitance of Quantum Dot using the formula - Quantum Capacitance of Quantum Dot = ([Charge-e]^2)/(Ionization Potential of N Particle-Electron Affinity of N Particle System). This formula also uses Charge of electron constant(s).

Can the Quantum Capacitance of Quantum Dot be negative?

Yes, the Quantum Capacitance of Quantum Dot, measured in Capacitance can be negative.

Which unit is used to measure Quantum Capacitance of Quantum Dot?

Quantum Capacitance of Quantum Dot is usually measured using the Farad[F] for Capacitance. Kilofarad[F], Millifarad[F], Microfarad[F] are the few other units in which Quantum Capacitance of Quantum Dot can be measured.

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Quantum Capacitance of Quantum Dot Formula

Quantum Capacitance of Quantum Dot Example

Quantum Capacitance of Quantum Dot Solution

Quantum Capacitance of Quantum Dot Formula Elements

Other formulas in Quantum Dots category

How to Evaluate Quantum Capacitance of Quantum Dot?

FAQs on Quantum Capacitance of Quantum Dot

Variable Name