Number of Electrons in nth Shell Solution

STEP 0: Pre-Calculation Summary
Formula Used
Number of Electrons in nth Shell = (2*(Quantum Number^2))
NElectron = (2*(nquantum^2))
This formula uses 2 Variables
Variables Used
Number of Electrons in nth Shell - Number of Electrons in nth Shell is equal to the atomic number of an element, in nth shell.
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
NElectron = (2*(nquantum^2)) --> (2*(8^2))
Evaluating ... ...
NElectron = 128
STEP 3: Convert Result to Output's Unit
128 --> No Conversion Required
FINAL ANSWER
128 <-- Number of Electrons in nth Shell
(Calculation completed in 00.004 seconds)

Credits

Created by Soupayan banerjee
National University of Judicial Science (NUJS), Kolkata
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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 Electrons in nth Shell Formula

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

What is Atomic Structure?

Atomic structure refers to the structure of an atom comprising a nucleus (center) in which the protons (positively charged) and neutrons (neutral) are present. The negatively charged particles called electrons revolve around the center of the nucleus. The history of atomic structure and quantum mechanics dates back to the times of Democritus, the man who first proposed that matter is composed of atoms.

How to Calculate Number of Electrons in nth Shell?

Number of Electrons in nth Shell calculator uses Number of Electrons in nth Shell = (2*(Quantum Number^2)) to calculate the Number of Electrons in nth Shell, The Number of Electrons in nth Shell formula is defined as equal to the atomic number of an element, for neutrally charged species. This means the number of electrons and the number of protons in an element are equal. Number of Electrons in nth Shell is denoted by NElectron symbol.

How to calculate Number of Electrons in nth Shell using this online calculator? To use this online calculator for Number of Electrons in nth Shell, enter Quantum Number (nquantum) and hit the calculate button. Here is how the Number of Electrons in nth Shell calculation can be explained with given input values -> 128 = (2*(8^2)).

FAQ

What is Number of Electrons in nth Shell?
The Number of Electrons in nth Shell formula is defined as equal to the atomic number of an element, for neutrally charged species. This means the number of electrons and the number of protons in an element are equal and is represented as NElectron = (2*(nquantum^2)) or Number of Electrons in nth Shell = (2*(Quantum Number^2)). Quantum Number describe values of conserved quantities in the dynamics of a quantum system.
How to calculate Number of Electrons in nth Shell?
The Number of Electrons in nth Shell formula is defined as equal to the atomic number of an element, for neutrally charged species. This means the number of electrons and the number of protons in an element are equal is calculated using Number of Electrons in nth Shell = (2*(Quantum Number^2)). To calculate Number of Electrons in nth Shell, you need Quantum Number (nquantum). 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.
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