Radius of Nth Orbit of Electron Calculator

↳

Electronics

Chemical Engineering

Civil

Electrical

Electronics and Instrumentation

Materials Science

Mechanical

Production Engineering

⤿

Electrons & Holes

Energy Band & 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%

✖Radius of nth Orbit of electron is defined as the radius of the nth or last orbit present in the shell.ⓘ Radius of Nth Orbit of Electron [r_n]

⎘ Copy

👎

Formula

✖

Radius of Nth Orbit of Electron

Formula

`"r"_{"n"} = ("[Coulomb]"*"n"^2*"[hP]"^2)/("M"*"[Charge-e]"^2)`

Example

`"4.6E^-8μm"=("[Coulomb]"*("2")^2*"[hP]"^2)/("1.34e-5kg"*"[Charge-e]"^2)`

Calculator

LaTeX

Reset

👍

Download Electrons & Holes Formulas PDF PDF Image

Radius of Nth Orbit of Electron Solution

STEP 0: Pre-Calculation Summary

Formula Used

Radius of nth Orbit of Electron = ([Coulomb]*Quantum Number^2*[hP]^2)/(Mass of Particle*[Charge-e]^2)
r_n = ([Coulomb]*n^2*[hP]^2)/(M*[Charge-e]^2)
This formula uses 3 Constants, 3 Variables

Constants Used

[Charge-e] - Charge of electron Value Taken As 1.60217662E-19
[Coulomb] - Coulomb constant Value Taken As 8.9875E+9
[hP] - Planck constant Value Taken As 6.626070040E-34

Variables Used

Radius of nth Orbit of Electron - (Measured in Meter) - Radius of nth Orbit of electron is defined as the radius of the nth or last orbit present in the shell.
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.

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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_n = ([Coulomb]*n^2*[hP]^2)/(M*[Charge-e]^2) --> ([Coulomb]*2^2*[hP]^2)/(1.34E-05*[Charge-e]^2)

Evaluating ... ...

r_n = 4.58868096352768E-14

STEP 3: Convert Result to Output's Unit

4.58868096352768E-14 Meter -->4.58868096352768E-08 Micrometer (Check conversion here)

FINAL ANSWER

4.58868096352768E-08 ≈ 4.6E-8 Micrometer <-- Radius of nth Orbit of Electron

(Calculation completed in 00.020 seconds)

You are here -

Home » Engineering » Electronics » Solid State Devices » Electrons & Holes » Radius of Nth Orbit of Electron

Credits

Created by Shobhit Dimri

Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat

Shobhit Dimri has created this Calculator and 900+ more calculators!

Verified by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

Urvi Rathod has verified this Calculator and 1900+ more calculators!

< 18 Electrons & Holes Calculators

Phi-dependent Wave Function

Go Φ Dependent Wave Function = (1/sqrt(2*pi))*(exp(Wave Quantum Number*Wave Function Angle))

Order of Diffraction

Go Order of Diffraction = (2*Grafting Space*sin(Incident Angle))/Wavelength of Ray

Radius of Nth Orbit of Electron

Go Radius of nth Orbit of Electron = ([Coulomb]*Quantum Number^2*[hP]^2)/(Mass of Particle*[Charge-e]^2)

AC Conductance

Go AC Conductance = ([Charge-e]/([BoltZ]*Temperature))*Electric Current

Quantum State

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

Hole Component

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

Electron Flux Density

Go Electron Flux Density = (Mean Free Path Electron/(2*Time))*Difference in Electron Concentration

Mean Free Path

Go Mean Free Path Electron = (Electron Flux Density/(Difference in Electron Concentration))*2*Time

Electron Component

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

Difference in Electron Concentration

Go Difference in Electron Concentration = Electron Concentration 1-Electron Concentration 2

Electron Multiplication

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

Electron Out of Region

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

Electron in Region

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

Total Carrier Current Density

Go Total Carrier Current Density = Electron Current Density+Hole Current Density

Electron Current Density

Go Electron Current Density = Total Carrier Current Density-Hole Current Density

Hole Current Density

Go Hole Current Density = Total Carrier Current Density-Electron Current Density

Mean Time Spend by Hole

Go Mean Time Spend by Hole = Optical Generation Rate*Majority Carrier Decay

Wave Function Amplitude

Go Amplitude of Wave Function = sqrt(2/Potential Well Length)

< 15 Semiconductor Carriers Calculators

Intrinsic Carrier Concentration

Go Intrinsic Carrier Concentration = sqrt(Effective Density of State in Valence Band*Effective Density of State in Conduction Band)*exp(-Energy Gap/(2*[BoltZ]*Temperature))

Carrier Lifetime

Go Carrier Lifetime = 1/(Proportionality for Recombination*(Holes Concentration in Valance Band+Electron Concentration in Conduction Band))

Radius of Nth Orbit of Electron

Go Radius of nth Orbit of Electron = ([Coulomb]*Quantum Number^2*[hP]^2)/(Mass of Particle*[Charge-e]^2)

Quantum State

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

Electron Flux Density

Go Electron Flux Density = (Mean Free Path Electron/(2*Time))*Difference in Electron Concentration

Fermi Function

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

Effective Density State in Valence Band

Go Effective Density of State in Valence Band = Holes Concentration in Valance Band/(1-Fermi Function)

Distribution Coefficient

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

Electron Multiplication

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

Excess Carrier Concentration

Go Excess Carrier Concentration = Optical Generation Rate*Recombination Lifetime

Electron Current Density

Go Electron Current Density = Total Carrier Current Density-Hole Current Density

Hole Current Density

Go Hole Current Density = Total Carrier Current Density-Electron Current Density

Mean Time Spend by Hole

Go Mean Time Spend by Hole = Optical Generation Rate*Majority Carrier Decay

Photoelectron Energy

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

Conduction Band Energy

Go Conduction Band Energy = Energy Gap+Valence Band Energy

Radius of Nth Orbit of Electron Formula

Radius of nth Orbit of Electron = ([Coulomb]*Quantum Number^2*[hP]^2)/(Mass of Particle*[Charge-e]^2)
r_n = ([Coulomb]*n^2*[hP]^2)/(M*[Charge-e]^2)

How do you find the radius of the orbit of an electron?

Use the formula 𝑟_𝑛 = 𝑎₀ 𝑛², where 𝑟_𝑛 is the orbital radius of an electron in energy level 𝑛 of a hydrogen atom and 𝑎₀ is the Bohr radius, to calculate the orbital radius of an electron that is in energy level 𝑛 = 3 of a hydrogen atom. Use a value of 5.29 × 10⁻¹¹ m for the Bohr radius.

How to Calculate Radius of Nth Orbit of Electron?

Radius of Nth Orbit of Electron calculator uses Radius of nth Orbit of Electron = ([Coulomb]*Quantum Number^2*[hP]^2)/(Mass of Particle*[Charge-e]^2) to calculate the Radius of nth Orbit of Electron, The Radius of nth Orbit of electron formula is defined as the radius of the nth or last orbit present in the shell. Radius of nth Orbit of Electron is denoted by r_n symbol.

How to calculate Radius of Nth Orbit of Electron using this online calculator? To use this online calculator for Radius of Nth Orbit of Electron, enter Quantum Number (n) & Mass of Particle (M) and hit the calculate button. Here is how the Radius of Nth Orbit of Electron calculation can be explained with given input values -> 0.045887 = ([Coulomb]*2^2*[hP]^2)/(1.34E-05*[Charge-e]^2).

FAQ

What is Radius of Nth Orbit of Electron?

The Radius of nth Orbit of electron formula is defined as the radius of the nth or last orbit present in the shell and is represented as r_n = ([Coulomb]*n^2*[hP]^2)/(M*[Charge-e]^2) or Radius of nth Orbit of Electron = ([Coulomb]*Quantum Number^2*[hP]^2)/(Mass of Particle*[Charge-e]^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.

How to calculate Radius of Nth Orbit of Electron?

The Radius of nth Orbit of electron formula is defined as the radius of the nth or last orbit present in the shell is calculated using Radius of nth Orbit of Electron = ([Coulomb]*Quantum Number^2*[hP]^2)/(Mass of Particle*[Charge-e]^2). To calculate Radius of Nth Orbit of Electron, you need Quantum Number (n) & Mass of Particle (M). With our tool, you need to enter the respective value for Quantum Number & Mass of Particle and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search