Number of Orbitals in nth Shell Calculator

✖Number of Orbitals in nth Shell is an mathematical function describing the location and wave-like behavior of an electron in an atom.ⓘ Number of Orbitals in nth Shell [N]

⎘ Copy

👎

Formula

✖

Number of Orbitals in nth Shell

Formula

`"N" = ("n"_{"quantum"}^2)`

Example

`"64"=(("8")^2)`

Calculator

LaTeX

Reset

👍

Download Atomic structure Formula PDF PDF Image

Number of Orbitals in nth Shell Solution

STEP 0: Pre-Calculation Summary

Formula Used

Number of Orbitals in nth Shell = (Quantum Number^2)
N = (n_quantum^2)
This formula uses 2 Variables

Variables Used

Number of Orbitals in nth Shell - Number of Orbitals in nth Shell is an mathematical function describing the location and wave-like behavior of an electron in an atom.
Quantum Number - Quantum Number describe values of conserved quantities in the dynamics of a quantum system.

STEP 1: Convert Input(s) to Base Unit

Quantum Number: 8 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

N = (n_quantum^2) --> (8^2)

Evaluating ... ...

N = 64

STEP 3: Convert Result to Output's Unit

64 --> No Conversion Required

FINAL ANSWER

64 <-- Number of Orbitals in nth Shell

(Calculation completed in 00.004 seconds)

You are here -

Home » Chemistry » Atomic structure » Bohr's Atomic Model » Electrons & Orbits » Number of Orbitals in nth Shell

Credits

Created by Soupayan banerjee

National University of Judicial Science (NUJS), Kolkata

Soupayan banerjee has created this Calculator and 200+ more calculators!

Verified by Prerana Bakli

University of Hawaiʻi at Mānoa (UH Manoa), Hawaii, USA

Prerana Bakli has verified this Calculator and 1600+ more calculators!

< 16 Electrons & Orbits Calculators

Change in Wave Number of Moving Particle

Go Wave Number of moving Particle = 1.097*10^7*((Final Quantum Number)^2-(Initial Quantum Number)^2)/((Final Quantum Number^2)*(Initial Quantum Number^2))

Change in Wavelength of Moving Particle

Go Wave Number = ((Final Quantum Number^2)*(Initial Quantum Number^2))/(1.097*10^7*((Final Quantum Number)^2-(Initial Quantum Number)^2))

Total Energy of Electron in nth Orbit

Go Total Energy of Atom given nth Orbital = (-([Mass-e]*([Charge-e]^4)*(Atomic Number^2))/(8*([Permitivity-vacuum]^2)*(Quantum Number^2)*([hP]^2)))

Velocity of Electron in Bohr's Orbit

Go Velocity of Electron given BO = ([Charge-e]^2)/(2*[Permitivity-vacuum]*Quantum Number*[hP])

Energy Gap between Two Orbits

Go Energy of Electron in Orbit = [Rydberg]*(1/(Initial Orbit^2)-(1/(Final Orbit^2)))

Velocity of Electron given Time Period of Electron

Go Velocity of Electron given Time = (2*pi*Radius of Orbit)/Time Period of Electron

Total Energy of Electron given Atomic Number

Go Total Energy of Atom given AN = -(Atomic Number*([Charge-e]^2))/(2*Radius of Orbit)

Potential Energy of Electron given Atomic Number

Go Potential Energy in Ev = (-(Atomic Number*([Charge-e]^2))/Radius of Orbit)

Energy of Electron in Final Orbit

Go Energy of Electron in Orbit = (-([Rydberg]/(Final Quantum Number^2)))

Velocity of Electron in Orbit given Angular Velocity

Go Velocity of Electron given AV = Angular Velocity*Radius of Orbit

Energy of Electron in Initial Orbit

Go Energy of Electron in Orbit = (-([Rydberg]/(Initial Orbit^2)))

Total Energy of Electron

Go Total Energy = -1.085*(Atomic Number)^2/(Quantum Number)^2

Atomic Mass

Go Atomic Mass = Total Mass of Proton+Total Mass of Neutron

Number of Electrons in nth Shell

Go Number of Electrons in nth Shell = (2*(Quantum Number^2))

Number of Orbitals in nth Shell

Go Number of Orbitals in nth Shell = (Quantum Number^2)

Orbital Frequency of Electron

Go Orbital Frequency = 1/Time Period of Electron

< 12 Important Formulas on Bohr's Atomic Model Calculators

Change in Wave Number of Moving Particle

Go Wave Number of moving Particle = 1.097*10^7*((Final Quantum Number)^2-(Initial Quantum Number)^2)/((Final Quantum Number^2)*(Initial Quantum Number^2))

Radius of Bohr's Orbit

Go Radius of Orbit given AN = ((Quantum Number^2)*([hP]^2))/(4*(pi^2)*[Mass-e]*[Coulomb]*Atomic Number*([Charge-e]^2))

Internal Energy of Ideal Gas using Law of Equipartition Energy

Go Internal Molar Energy given EP = (Degree of Freedom/2)*Number of Moles*[R]*Temperature of Gas

Velocity of Electron given Time Period of Electron

Go Velocity of Electron given Time = (2*pi*Radius of Orbit)/Time Period of Electron

Angular Momentum using Radius of Orbit

Go Angular Momentum using Radius Orbit = Atomic Mass*Velocity*Radius of Orbit

Radius of Bohr's Orbit given Atomic Number

Go Radius of Orbit given AN = ((0.529/10000000000)*(Quantum Number^2))/Atomic Number

Energy of Electron in Final Orbit

Go Energy of Electron in Orbit = (-([Rydberg]/(Final Quantum Number^2)))

Energy of Electron in Initial Orbit

Go Energy of Electron in Orbit = (-([Rydberg]/(Initial Orbit^2)))

Atomic Mass

Go Atomic Mass = Total Mass of Proton+Total Mass of Neutron

Number of Electrons in nth Shell

Go Number of Electrons in nth Shell = (2*(Quantum Number^2))

Number of Orbitals in nth Shell

Go Number of Orbitals in nth Shell = (Quantum Number^2)

Orbital Frequency of Electron

Go Orbital Frequency = 1/Time Period of Electron

Number of Orbitals in nth Shell Formula

Number of Orbitals in nth Shell = (Quantum Number^2)
N = (n_quantum^2)

What is an Orbital?

An orbital is a three dimensional description of the most likely location of an electron around an atom. There are four types of orbitals that you should be familiar with s, p, d and f (sharp, principle, diffuse and fundamental). Within each shell of an atom there are some combinations of orbitals. In the n=1 shell you only find s orbitals, in the n=2 shell, you have s and p orbitals, in the n=3 shell, you have s, p and d orbitals and in the n=4 up shells you find all four types of orbitals.

How to Calculate Number of Orbitals in nth Shell?

Number of Orbitals in nth Shell calculator uses Number of Orbitals in nth Shell = (Quantum Number^2) to calculate the Number of Orbitals in nth Shell, The Number of Orbitals in nth Shell formula is defined as the square of the principal quantum number. In nth shell , it is the square of the number of subshells in nth shell. Number of Orbitals in nth Shell is denoted by N symbol.

How to calculate Number of Orbitals in nth Shell using this online calculator? To use this online calculator for Number of Orbitals in nth Shell, enter Quantum Number (n_quantum) and hit the calculate button. Here is how the Number of Orbitals in nth Shell calculation can be explained with given input values -> 64 = (8^2).

FAQ

What is Number of Orbitals in nth Shell?

The Number of Orbitals in nth Shell formula is defined as the square of the principal quantum number. In nth shell , it is the square of the number of subshells in nth shell and is represented as N = (n_quantum^2) or Number of Orbitals in nth Shell = (Quantum Number^2). Quantum Number describe values of conserved quantities in the dynamics of a quantum system.

How to calculate Number of Orbitals in nth Shell?

The Number of Orbitals in nth Shell formula is defined as the square of the principal quantum number. In nth shell , it is the square of the number of subshells in nth shell is calculated using Number of Orbitals in nth Shell = (Quantum Number^2). To calculate Number of Orbitals in nth Shell, you need Quantum Number (n_quantum). With our tool, you need to enter the respective value for Quantum Number 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