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Quantum State Formula

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Energy in Quantum State refers to the total energy associated with a particular state of a quantum system. It represents the amount of energy that the system possesses in that specific state. Check FAQs

E n = \frac{n^{2} \cdot π^{2} \cdot {[hP]}^{2}}{2 \cdot M \cdot L^{2}}

E_n - Energy in Quantum State?n - Quantum Number?M - Mass of Particle?L - Potential Well Length?[hP] - Planck constant?π - Archimedes' constant?

Quantum State Example

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Here is how the Quantum State equation looks like with Values.

Here is how the Quantum State equation looks like with Units.

Here is how the Quantum State equation looks like.

8.2E-24 = \frac{2^{2} \cdot {3.1416}^{2} \cdot {6.6E-34}^{2}}{2 \cdot 1.3E-5 \cdot {7E-10}^{2}}

8.2E-24eV = \frac{2^{2} \cdot {3.1416}^{2} \cdot {6.6E-34}^{2}}{2 \cdot 1.3E-5kg \cdot {7E-10}^{2}}

8.2E-24 = \frac{2^{2} \cdot {3.1416}^{2} \cdot {6.6E-34}^{2}}{2 \cdot 1.3E-5 \cdot {7E-10}^{2}}

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Quantum State Solution

Follow our step by step solution on how to calculate Quantum State?

FIRST Step Consider the formula

E n = \frac{n^{2} \cdot π^{2} \cdot {[hP]}^{2}}{2 \cdot M \cdot L^{2}}

Next Step Substitute values of Variables

∴

E n = \frac{2^{2} \cdot π^{2} \cdot {[hP]}^{2}}{2 \cdot 1.3E-5kg \cdot {7E-10}^{2}}

Next Step Substitute values of Constants

∴

E n = \frac{2^{2} \cdot {3.1416}^{2} \cdot {6.6E-34}^{2}}{2 \cdot 1.3E-5kg \cdot {7E-10}^{2}}

Next Step Prepare to Evaluate

∴

E n = \frac{2^{2} \cdot {3.1416}^{2} \cdot {6.6E-34}^{2}}{2 \cdot 1.3E-5 \cdot {7E-10}^{2}}

Next Step Evaluate

∴

E n = 1.31989962995554E-42J

Next Step Convert to Output's Unit

∴

E n = 8.23816193901293E-24eV

LAST Step Rounding Answer

∴

E n = 8.2E-24eV

Quantum State Formula Elements

Variables

Constants

Energy in Quantum State

Energy in Quantum State refers to the total energy associated with a particular state of a quantum system. It represents the amount of energy that the system possesses in that specific state.

Symbol: E_n

Measurement: EnergyUnit: eV

Note: Value should be greater than 0.

Formulas to find Energy in Quantum State

Quantum Number

Quantum Number is a numerical value that describes a particular aspect of the quantum state of a physical system.

Symbol: n

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Quantum Number

Mass of Particle

Mass of Particle is defined as the total mass of the considered particle.

Symbol: M

Measurement: WeightUnit: kg

Note: Value should be greater than 0.

Formulas to find Mass of Particle

Potential Well Length

Potential Well length is the distance from electron where potential well length is equal to infinite.

Symbol: L

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Potential Well Length

Planck constant

Planck constant is a fundamental universal constant that defines the quantum nature of energy and relates the energy of a photon to its frequency.

Symbol: [hP]

Value: 6.626070040E-34

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other formulas in Electrons and Holes 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 Quantum State?

Quantum State evaluator uses Energy in Quantum State = (Quantum Number^2*pi^2*[hP]^2)/(2*Mass of Particle*Potential Well Length^2) to evaluate the Energy in Quantum State, Quantum State refers to the complete description of a quantum system. It contains all the relevant information about the system, including its observable properties, such as position, momentum, energy, and other physical quantities. Energy in Quantum State is denoted by E_n symbol.

How to evaluate Quantum State using this online evaluator? To use this online evaluator for Quantum State, enter Quantum Number (n), Mass of Particle (M) & Potential Well Length (L) and hit the calculate button.

FAQs on Quantum State

What is the formula to find Quantum State?

The formula of Quantum State is expressed as Energy in Quantum State = (Quantum Number^2*pi^2*[hP]^2)/(2*Mass of Particle*Potential Well Length^2). Here is an example- 5.1E-5 = (2^2*pi^2*[hP]^2)/(2*1.34E-05*7E-10^2).

How to calculate Quantum State?

With Quantum Number (n), Mass of Particle (M) & Potential Well Length (L) we can find Quantum State using the formula - Energy in Quantum State = (Quantum Number^2*pi^2*[hP]^2)/(2*Mass of Particle*Potential Well Length^2). This formula also uses Planck constant, Archimedes' constant .

Can the Quantum State be negative?

No, the Quantum State, measured in Energy cannot be negative.

Which unit is used to measure Quantum State?

Quantum State is usually measured using the Electron-Volt[eV] for Energy. Joule[eV], Kilojoule[eV], Gigajoule[eV] are the few other units in which Quantum State can be measured.

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Quantum State Formula

Quantum State Example

Quantum State Solution

Quantum State Formula Elements

Other formulas in Electrons and Holes category

How to Evaluate Quantum State?

FAQs on Quantum State

Variable Name