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Quantum State Calculator

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Electrons and Holes Energy Band and Charge Carrier Semiconductor Carriers SSD Junction

✖Quantum Number is a numerical value that describes a particular aspect of the quantum state of a physical system.ⓘ Quantum Number [n]			+10% -10%
✖Mass of Particle is defined as the total mass of the considered particle.ⓘ Mass of Particle [M]			+10% -10%
✖Potential Well length is the distance from electron where potential well length is equal to infinite.ⓘ Potential Well Length [L]			+10% -10%

✖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.ⓘ Quantum State [E_n]

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Quantum State Solution

STEP 0: Pre-Calculation Summary

Formula Used

Energy in Quantum State = (Quantum Number^2*pi^2*[hP]^2)/(2*Mass of Particle*Potential Well Length^2)
E_n = (n^2*pi^2*[hP]^2)/(2*M*L^2)
This formula uses 2 Constants, 4 Variables

Constants Used

[hP] - Planck constant Value Taken As 6.626070040E-34
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Energy in Quantum State - (Measured in Joule) - 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.
Quantum Number - Quantum Number is a numerical value that describes a particular aspect of the quantum state of a physical system.
Mass of Particle - (Measured in Kilogram) - Mass of Particle is defined as the total mass of the considered particle.
Potential Well Length - Potential Well length is the distance from electron where potential well length is equal to infinite.

STEP 1: Convert Input(s) to Base Unit

Quantum Number: 2 --> No Conversion Required
Mass of Particle: 1.34E-05 Kilogram --> 1.34E-05 Kilogram No Conversion Required
Potential Well Length: 7E-10 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E_n = (n^2*pi^2*[hP]^2)/(2*M*L^2) --> (2^2*pi^2*[hP]^2)/(2*1.34E-05*7E-10^2)

Evaluating ... ...

E_n = 1.31989962995554E-42

STEP 3: Convert Result to Output's Unit

1.31989962995554E-42 Joule -->8.23816193901293E-24 Electron-Volt (Check conversion here)

FINAL ANSWER

8.23816193901293E-24 ≈ 8.2E-24 Electron-Volt <-- Energy in Quantum State

(Calculation completed in 00.020 seconds)

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< Electrons and Holes Calculators

Hole Component

LaTeX Go Hole Component = Electron Component*Emitter Injection Efficiency/(1-Emitter Injection Efficiency)

Electron Component

LaTeX Go Electron Component = ((Hole Component)/Emitter Injection Efficiency)-Hole Component

Electron Out of Region

LaTeX Go Number of Electron Out of Region = Electron Multiplication*Number of Electron in Region

Electron in Region

LaTeX Go Number of Electron in Region = Number of Electron Out of Region/Electron Multiplication

< Semiconductor Carriers Calculators

Fermi Function

LaTeX Go Fermi Function = Electron Concentration in Conduction Band/Effective Density of State in Conduction Band

Distribution Coefficient

LaTeX Go Distribution Coefficient = Impurity Concentration in Solid/Impurity Concentration in Liquid

Photoelectron Energy

LaTeX Go Photoelectron Energy = [hP]*Frequency of Incident Light

Conduction Band Energy

LaTeX Go Conduction Band Energy = Energy Gap+Valence Band Energy

Quantum State Formula

LaTeX Go

Energy in Quantum State = (Quantum Number^2*pi^2*[hP]^2)/(2*Mass of Particle*Potential Well Length^2)
E_n = (n^2*pi^2*[hP]^2)/(2*M*L^2)

What is the difference between PMF and PDF?

Probability mass functions (pmf) are used to describe discrete probability distributions. While probability density functions (pdf) are used to describe continuous probability distributions.

How to Calculate Quantum State?

Quantum State calculator uses Energy in Quantum State = (Quantum Number^2*pi^2*[hP]^2)/(2*Mass of Particle*Potential Well Length^2) to calculate 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 calculate Quantum State using this online calculator? To use this online calculator for Quantum State, enter Quantum Number (n), Mass of Particle (M) & Potential Well Length (L) and hit the calculate button. Here is how the Quantum State calculation can be explained with given input values -> 5.1E-5 = (2^2*pi^2*[hP]^2)/(2*1.34E-05*7E-10^2).

FAQ

What is 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 and is represented as E_n = (n^2*pi^2*[hP]^2)/(2*M*L^2) or Energy in Quantum State = (Quantum Number^2*pi^2*[hP]^2)/(2*Mass of Particle*Potential Well Length^2). Quantum Number is a numerical value that describes a particular aspect of the quantum state of a physical system, Mass of Particle is defined as the total mass of the considered particle & Potential Well length is the distance from electron where potential well length is equal to infinite.

How to calculate 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 is calculated using Energy in Quantum State = (Quantum Number^2*pi^2*[hP]^2)/(2*Mass of Particle*Potential Well Length^2). To calculate Quantum State, you need Quantum Number (n), Mass of Particle (M) & Potential Well Length (L). With our tool, you need to enter the respective value for Quantum Number, Mass of Particle & Potential Well Length and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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