FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Radius of Bohr's Orbit Formula

GoRadius of Bohr's Orbit given Atomic Number Formula

Fx Copy

LaTeX Copy

Radius of Orbit given AN is the distance from the center of orbit of an electron to a point on its surface. Check FAQs

r orbit_AN = \frac{({n quantum}^{2}) \cdot ({[hP]}^{2})}{4 \cdot (π^{2}) \cdot [Mass-e] \cdot [Coulomb] \cdot Z \cdot ({[Charge-e]}^{2})}

r_{orbit_AN} - Radius of Orbit given AN?n_quantum - Quantum Number?Z - Atomic Number?[hP] - Planck constant?[Mass-e] - Mass of electron?[Coulomb] - Coulomb constant?[Charge-e] - Charge of electron?π - Archimedes' constant?

Radius of Bohr's Orbit Example

With values

With units

Only example

Here is how the Radius of Bohr's Orbit equation looks like with Values.

Here is how the Radius of Bohr's Orbit equation looks like with Units.

Here is how the Radius of Bohr's Orbit equation looks like.

0.1992 = \frac{(8^{2}) \cdot ({6.6E-34}^{2})}{4 \cdot ({3.1416}^{2}) \cdot 9.1E-31 \cdot 9E+9 \cdot 17 \cdot ({1.6E-19}^{2})}

0.1992nm = \frac{(8^{2}) \cdot ({6.6E-34}^{2})}{4 \cdot ({3.1416}^{2}) \cdot 9.1E-31kg \cdot 9E+9 \cdot 17 \cdot ({1.6E-19C}^{2})}

0.1992 = \frac{(8^{2}) \cdot ({6.6E-34}^{2})}{4 \cdot ({3.1416}^{2}) \cdot 9.1E-31 \cdot 9E+9 \cdot 17 \cdot ({1.6E-19}^{2})}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Chemistry » Category

Atomic structure » Category

Bohr's Atomic Model » fx Radius of Bohr's Orbit

Radius of Bohr's Orbit Solution

Follow our step by step solution on how to calculate Radius of Bohr's Orbit?

FIRST Step Consider the formula

r orbit_AN = \frac{({n quantum}^{2}) \cdot ({[hP]}^{2})}{4 \cdot (π^{2}) \cdot [Mass-e] \cdot [Coulomb] \cdot Z \cdot ({[Charge-e]}^{2})}

Next Step Substitute values of Variables

∴

r orbit_AN = \frac{(8^{2}) \cdot ({[hP]}^{2})}{4 \cdot (π^{2}) \cdot [Mass-e] \cdot [Coulomb] \cdot 17 \cdot ({[Charge-e]}^{2})}

Next Step Substitute values of Constants

∴

r orbit_AN = \frac{(8^{2}) \cdot ({6.6E-34}^{2})}{4 \cdot ({3.1416}^{2}) \cdot 9.1E-31kg \cdot 9E+9 \cdot 17 \cdot ({1.6E-19C}^{2})}

Next Step Prepare to Evaluate

∴

r orbit_AN = \frac{(8^{2}) \cdot ({6.6E-34}^{2})}{4 \cdot ({3.1416}^{2}) \cdot 9.1E-31 \cdot 9E+9 \cdot 17 \cdot ({1.6E-19}^{2})}

Next Step Evaluate

∴

r orbit_AN = 1.99219655831311E-10m

Next Step Convert to Output's Unit

∴

r orbit_AN = 0.199219655831311nm

LAST Step Rounding Answer

∴

r orbit_AN = 0.1992nm

Radius of Bohr's Orbit Formula Elements

Variables

Constants

Radius of Orbit given AN

Radius of Orbit given AN is the distance from the center of orbit of an electron to a point on its surface.

Symbol: r_{orbit_AN}

Measurement: LengthUnit: nm

Note: Value can be positive or negative.

Formulas to find Radius of Orbit given AN

Quantum Number

Quantum Number describe values of conserved quantities in the dynamics of a quantum system.

Symbol: n_quantum

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Quantum Number

Atomic Number

Atomic Number is the number of protons present inside the nucleus of an atom of an element.

Symbol: Z

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Atomic Number

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

Mass of electron

Mass of electron is a fundamental physical constant, representing the amount of matter contained within an electron, an elementary particle with a negative electric charge.

Symbol: [Mass-e]

Value: 9.10938356E-31 kg

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

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

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other Formulas to find Radius of Orbit given AN

Go Radius of Bohr's Orbit given Atomic Number

r orbit_AN = \frac{(\frac{0.529}{10000000000}) \cdot ({n quantum}^{2})}{Z}

Other formulas in Radius of Bohr's Orbit category

Go Atomic Mass

M = m p + m n

Go Change in Wave Number of Moving Particle

N wave = 1.097 \cdot 10^{7} \cdot \frac{{(n f)}^{2} - {(n i)}^{2}}{({n f}^{2}) \cdot ({n i}^{2})}

Go Number of Electrons in nth Shell

N Electron = (2 \cdot ({n quantum}^{2}))

Go Orbital Frequency of Electron

f orbital = \frac{1}{T}

How to Evaluate Radius of Bohr's Orbit?

Radius of Bohr's Orbit evaluator uses Radius of Orbit given AN = ((Quantum Number^2)*([hP]^2))/(4*(pi^2)*[Mass-e]*[Coulomb]*Atomic Number*([Charge-e]^2)) to evaluate the Radius of Orbit given AN, The Radius of Bohr's orbit formula is defined as a physical constant, expressing the most probable distance between the electron and the nucleus in a Hydrogen atom. Radius of Orbit given AN is denoted by r_{orbit_AN} symbol.

How to evaluate Radius of Bohr's Orbit using this online evaluator? To use this online evaluator for Radius of Bohr's Orbit, enter Quantum Number (n_quantum) & Atomic Number (Z) and hit the calculate button.

FAQs on Radius of Bohr's Orbit

What is the formula to find Radius of Bohr's Orbit?

The formula of Radius of Bohr's Orbit is expressed as Radius of Orbit given AN = ((Quantum Number^2)*([hP]^2))/(4*(pi^2)*[Mass-e]*[Coulomb]*Atomic Number*([Charge-e]^2)). Here is an example- 2E+8 = ((8^2)*([hP]^2))/(4*(pi^2)*[Mass-e]*[Coulomb]*17*([Charge-e]^2)).

How to calculate Radius of Bohr's Orbit?

With Quantum Number (n_quantum) & Atomic Number (Z) we can find Radius of Bohr's Orbit using the formula - Radius of Orbit given AN = ((Quantum Number^2)*([hP]^2))/(4*(pi^2)*[Mass-e]*[Coulomb]*Atomic Number*([Charge-e]^2)). This formula also uses Planck constant, Mass of electron, Coulomb constant, Charge of electron, Archimedes' constant .

What are the other ways to Calculate Radius of Orbit given AN?

Here are the different ways to Calculate Radius of Orbit given AN-

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

Can the Radius of Bohr's Orbit be negative?

Yes, the Radius of Bohr's Orbit, measured in Length can be negative.

Which unit is used to measure Radius of Bohr's Orbit?

Radius of Bohr's Orbit is usually measured using the Nanometer[nm] for Length. Meter[nm], Millimeter[nm], Kilometer[nm] are the few other units in which Radius of Bohr's Orbit can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

Radius of Bohr's Orbit Formula

​GoRadius of Bohr's Orbit given Atomic Number Formula

Radius of Bohr's Orbit Example

Radius of Bohr's Orbit Solution

Radius of Bohr's Orbit Formula Elements

Other Formulas to find Radius of Orbit given AN

Other formulas in Radius of Bohr's Orbit category

How to Evaluate Radius of Bohr's Orbit?

FAQs on Radius of Bohr's Orbit

Variable Name

GoRadius of Bohr's Orbit given Atomic Number Formula