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Radius of Nth Orbit of Electron Formula

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Radius of nth Orbit of electron is defined as the radius of the nth or last orbit present in the shell. Check FAQs

r n = \frac{[Coulomb] \cdot n^{2} \cdot {[hP]}^{2}}{M \cdot {[Charge-e]}^{2}}

r_n - Radius of nth Orbit of Electron?n - Quantum Number?M - Mass of Particle?[Coulomb] - Coulomb constant?[hP] - Planck constant?[Charge-e] - Charge of electron?

Radius of Nth Orbit of Electron Example

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Here is how the Radius of Nth Orbit of Electron equation looks like with Values.

Here is how the Radius of Nth Orbit of Electron equation looks like with Units.

Here is how the Radius of Nth Orbit of Electron equation looks like.

4.6E-8 = \frac{9E+9 \cdot 2^{2} \cdot {6.6E-34}^{2}}{1.3E-5 \cdot {1.6E-19}^{2}}

4.6E-8μm = \frac{9E+9 \cdot 2^{2} \cdot {6.6E-34}^{2}}{1.3E-5kg \cdot {1.6E-19C}^{2}}

4.6E-8 = \frac{9E+9 \cdot 2^{2} \cdot {6.6E-34}^{2}}{1.3E-5 \cdot {1.6E-19}^{2}}

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Radius of Nth Orbit of Electron Solution

Follow our step by step solution on how to calculate Radius of Nth Orbit of Electron?

FIRST Step Consider the formula

r n = \frac{[Coulomb] \cdot n^{2} \cdot {[hP]}^{2}}{M \cdot {[Charge-e]}^{2}}

Next Step Substitute values of Variables

∴

r n = \frac{[Coulomb] \cdot 2^{2} \cdot {[hP]}^{2}}{1.3E-5kg \cdot {[Charge-e]}^{2}}

Next Step Substitute values of Constants

∴

r n = \frac{9E+9 \cdot 2^{2} \cdot {6.6E-34}^{2}}{1.3E-5kg \cdot {1.6E-19C}^{2}}

Next Step Prepare to Evaluate

∴

r n = \frac{9E+9 \cdot 2^{2} \cdot {6.6E-34}^{2}}{1.3E-5 \cdot {1.6E-19}^{2}}

Next Step Evaluate

∴

r n = 4.58868096352768E-14m

Next Step Convert to Output's Unit

∴

r n = 4.58868096352768E-08μm

LAST Step Rounding Answer

∴

r n = 4.6E-8μm

Radius of Nth Orbit of Electron Formula Elements

Variables

Constants

Radius of nth Orbit of Electron

Radius of nth Orbit of electron is defined as the radius of the nth or last orbit present in the shell.

Symbol: r_n

Measurement: LengthUnit: μm

Note: Value can be positive or negative.

Formulas to find Radius of nth Orbit of Electron

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

Coulomb constant

Coulomb constant appears in Coulomb's law and quantifies the electrostatic force between two point charges. It plays a fundamental role in the study of electrostatics.

Symbol: [Coulomb]

Value: 8.9875E+9

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

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 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 Radius of Nth Orbit of Electron?

Radius of Nth Orbit of Electron evaluator uses Radius of nth Orbit of Electron = ([Coulomb]*Quantum Number^2*[hP]^2)/(Mass of Particle*[Charge-e]^2) to evaluate 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 evaluate Radius of Nth Orbit of Electron using this online evaluator? To use this online evaluator for Radius of Nth Orbit of Electron, enter Quantum Number (n) & Mass of Particle (M) and hit the calculate button.

FAQs on Radius of Nth Orbit of Electron

What is the formula to find Radius of Nth Orbit of Electron?

The formula of Radius of Nth Orbit of Electron is expressed as Radius of nth Orbit of Electron = ([Coulomb]*Quantum Number^2*[hP]^2)/(Mass of Particle*[Charge-e]^2). Here is an example- 0.045887 = ([Coulomb]*2^2*[hP]^2)/(1.34E-05*[Charge-e]^2).

How to calculate Radius of Nth Orbit of Electron?

With Quantum Number (n) & Mass of Particle (M) we can find Radius of Nth Orbit of Electron using the formula - Radius of nth Orbit of Electron = ([Coulomb]*Quantum Number^2*[hP]^2)/(Mass of Particle*[Charge-e]^2). This formula also uses Coulomb constant, Planck constant, Charge of electron constant(s).

Can the Radius of Nth Orbit of Electron be negative?

Yes, the Radius of Nth Orbit of Electron, measured in Length can be negative.

Which unit is used to measure Radius of Nth Orbit of Electron?

Radius of Nth Orbit of Electron is usually measured using the Micrometer[μm] for Length. Meter[μm], Millimeter[μm], Kilometer[μm] are the few other units in which Radius of Nth Orbit of Electron can be measured.

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