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)
rn = ([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
rn = ([Coulomb]*n^2*[hP]^2)/(M*[Charge-e]^2) --> ([Coulomb]*2^2*[hP]^2)/(1.34E-05*[Charge-e]^2)
Evaluating ... ...
rn = 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 โ‰ˆ 4.6E-8 Micrometer <-- Radius of nth Orbit of Electron
(Calculation completed in 00.004 seconds)

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18 Electrons & Holes Calculators

Phi-dependent Wave Function
Go ฮฆ 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)
Mean Free Path
Go Mean Free Path Electron = (Electron Flux Density/(Difference in Electron Concentration))*2*Time
Electron Flux Density
Go Electron Flux Density = (Mean Free Path Electron/(2*Time))*Difference in Electron Concentration
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 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
Electron Multiplication
Go Electron Multiplication = Number of Electron Out of Region/Number of Electron in Region
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)
rn = ([Coulomb]*n^2*[hP]^2)/(M*[Charge-e]^2)

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

Use the formula ๐‘Ÿ_๐‘› = ๐‘Žโ‚€ ๐‘›ยฒ, where ๐‘Ÿ_๐‘› is the orbital radius of an electron in energy level ๐‘› of a hydrogen atom and ๐‘Žโ‚€ is the Bohr radius, to calculate the orbital radius of an electron that is in energy level ๐‘› = 3 of a hydrogen atom. Use a value of 5.29 ร— 10โปยนยน 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 rn 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 rn = ([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.
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