Radius of Bohr's Orbit given Atomic Number Solution

STEP 0: Pre-Calculation Summary
Formula Used
Radius of Orbit given AN = ((0.529/10000000000)*(Quantum Number^2))/Atomic Number
rorbit_AN = ((0.529/10000000000)*(nquantum^2))/Z
This formula uses 3 Variables
Variables Used
Radius of Orbit given AN - (Measured in Meter) - Radius of Orbit given AN is the distance from the center of orbit of an electron to a point on its surface.
Quantum Number - Quantum Number describe values of conserved quantities in the dynamics of a quantum system.
Atomic Number - Atomic Number is the number of protons present inside the nucleus of an atom of an element.
STEP 1: Convert Input(s) to Base Unit
Quantum Number: 8 --> No Conversion Required
Atomic Number: 17 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
rorbit_AN = ((0.529/10000000000)*(nquantum^2))/Z --> ((0.529/10000000000)*(8^2))/17
Evaluating ... ...
rorbit_AN = 1.99152941176471E-10
STEP 3: Convert Result to Output's Unit
1.99152941176471E-10 Meter -->0.199152941176471 Nanometer (Check conversion here)
FINAL ANSWER
0.199152941176471 0.199153 Nanometer <-- Radius of Orbit given AN
(Calculation completed in 00.004 seconds)

Credits

Created by Akshada Kulkarni
National Institute of Information Technology (NIIT), Neemrana
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Verified by Suman Ray Pramanik
Indian Institute of Technology (IIT), Kanpur
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8 Radius of Bohr's Orbit Calculators

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))
Radius of Orbit
Go Radius of an Orbit = (Quantum Number*[hP])/(2*pi*Mass*Velocity)
Radius of Bohr's Orbit for Hydrogen Atom
Go Radius of Orbit given AV = ((Quantum Number^2)*([hP]^2))/(4*(pi^2)*[Mass-e]*[Coulomb]*([Charge-e]^2))
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
Bohr's Radius
Go Bohr Radius of an Atom = (Quantum Number/Atomic Number)*0.529*10^(-10)
Radius of Orbit given Angular Velocity
Go Radius of Orbit given AV = Velocity of Electron/Angular Velocity
Frequency using Energy
Go Frequency using Energy = 2*Energy of Atom/[hP]

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

Radius of Bohr's Orbit given Atomic Number Formula

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

How is radius of Bohr's orbit calculated?

The radius of Bohr's orbit in hydrogen and hydrogen-like species can be calculated by using the following formula.
r=0.529.n^2/Z measured in Angstrom.
This is the radius of Bohr's orbit formula - nth orbit hydrogen-like species
Where
n = principal quantum number of orbit.
Z = atomic number

How to Calculate Radius of Bohr's Orbit given Atomic Number?

Radius of Bohr's Orbit given Atomic Number calculator uses Radius of Orbit given AN = ((0.529/10000000000)*(Quantum Number^2))/Atomic Number to calculate the Radius of Orbit given AN, The Radius of Bohr's orbit given atomic number is the distance of a revolving electron from the center of the orbit to its surface. Radius of Orbit given AN is denoted by rorbit_AN symbol.

How to calculate Radius of Bohr's Orbit given Atomic Number using this online calculator? To use this online calculator for Radius of Bohr's Orbit given Atomic Number, enter Quantum Number (nquantum) & Atomic Number (Z) and hit the calculate button. Here is how the Radius of Bohr's Orbit given Atomic Number calculation can be explained with given input values -> 2E+8 = ((0.529/10000000000)*(8^2))/17.

FAQ

What is Radius of Bohr's Orbit given Atomic Number?
The Radius of Bohr's orbit given atomic number is the distance of a revolving electron from the center of the orbit to its surface and is represented as rorbit_AN = ((0.529/10000000000)*(nquantum^2))/Z or Radius of Orbit given AN = ((0.529/10000000000)*(Quantum Number^2))/Atomic Number. Quantum Number describe values of conserved quantities in the dynamics of a quantum system & Atomic Number is the number of protons present inside the nucleus of an atom of an element.
How to calculate Radius of Bohr's Orbit given Atomic Number?
The Radius of Bohr's orbit given atomic number is the distance of a revolving electron from the center of the orbit to its surface is calculated using Radius of Orbit given AN = ((0.529/10000000000)*(Quantum Number^2))/Atomic Number. To calculate Radius of Bohr's Orbit given Atomic Number, you need Quantum Number (nquantum) & Atomic Number (Z). With our tool, you need to enter the respective value for Quantum Number & Atomic Number and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Radius of Orbit given AN?
In this formula, Radius of Orbit given AN uses Quantum Number & Atomic Number. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Radius of Orbit given AN = ((Quantum Number^2)*([hP]^2))/(4*(pi^2)*[Mass-e]*[Coulomb]*Atomic Number*([Charge-e]^2))
  • Radius of Orbit given AN = ((Quantum Number^2)*([hP]^2))/(4*(pi^2)*[Mass-e]*[Coulomb]*Atomic Number*([Charge-e]^2))
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