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Radius of Bohr's Orbit given Atomic Number Calculator

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Radius of Bohr's Orbit Electrons and Orbits Hydrogen Spectrum

✖Quantum Number describe values of conserved quantities in the dynamics of a quantum system.ⓘ Quantum Number [n_quantum]			+10% -10%
✖Atomic Number is the number of protons present inside the nucleus of an atom of an element.ⓘ Atomic Number [Z]			+10% -10%

✖Radius of Orbit given AN is the distance from the center of orbit of an electron to a point on its surface.ⓘ Radius of Bohr's Orbit given Atomic Number [r_{orbit_AN}]

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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
r_{orbit_AN} = ((0.529/10000000000)*(n_quantum^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

r_{orbit_AN} = ((0.529/10000000000)*(n_quantum^2))/Z --> ((0.529/10000000000)*(8^2))/17

Evaluating ... ...

r_{orbit_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 00.020 seconds)

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< Radius of Bohr's Orbit Calculators

Radius of Bohr's Orbit

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

Radius of Bohr's Orbit for Hydrogen Atom

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

Radius of Bohr's Orbit given Atomic Number

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

Radius of Orbit given Angular Velocity

LaTeX Go Radius of Orbit given AV = Velocity of Electron/Angular Velocity

< Important Formulas on Bohr's Atomic Model Calculators

Change in Wave Number of Moving Particle

LaTeX 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))

Atomic Mass

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

Number of Electrons in nth Shell

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

Orbital Frequency of Electron

LaTeX Go Orbital Frequency = 1/Time Period of Electron

Radius of Bohr's Orbit given Atomic Number Formula

LaTeX Go

Radius of Orbit given AN = ((0.529/10000000000)*(Quantum Number^2))/Atomic Number
r_{orbit_AN} = ((0.529/10000000000)*(n_quantum^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 r_{orbit_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 (n_quantum) & 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 r_{orbit_AN} = ((0.529/10000000000)*(n_quantum^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 (n_quantum) & 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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