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Bohr's Radius Formula

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Bohr Radius of an Atom is a physical constant, approximately equal to the most probable distance between the nucleus and the electron in a hydrogen atom in its ground state. Check FAQs

a o = (\frac{n quantum}{Z}) \cdot 0.529 \cdot 10^{- 10}

a_o - Bohr Radius of an Atom?n_quantum - Quantum Number?Z - Atomic Number?

Bohr's Radius Example

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

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

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

0.0249 = (\frac{8}{17}) \cdot 0.529 \cdot 10^{- 10}

0.0249nm = (\frac{8}{17}) \cdot 0.529 \cdot 10^{- 10}

0.0249 = (\frac{8}{17}) \cdot 0.529 \cdot 10^{- 10}

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Bohr's Radius Solution

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

FIRST Step Consider the formula

a o = (\frac{n quantum}{Z}) \cdot 0.529 \cdot 10^{- 10}

Next Step Substitute values of Variables

∴

a o = (\frac{8}{17}) \cdot 0.529 \cdot 10^{- 10}

Next Step Prepare to Evaluate

∴

a o = (\frac{8}{17}) \cdot 0.529 \cdot 10^{- 10}

Next Step Evaluate

∴

a o = 2.48941176470588E-11m

Next Step Convert to Output's Unit

∴

a o = 0.0248941176470588nm

LAST Step Rounding Answer

∴

a o = 0.0249nm

Bohr's Radius Formula Elements

Variables

Bohr Radius of an Atom

Bohr Radius of an Atom is a physical constant, approximately equal to the most probable distance between the nucleus and the electron in a hydrogen atom in its ground state.

Symbol: a_o

Measurement: LengthUnit: nm

Note: Value can be positive or negative.

Formulas to find Bohr Radius of an Atom

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

Other formulas in Radius of Bohr's Orbit category

Go Radius of Bohr's Orbit

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})}

Go Radius of Bohr's Orbit for Hydrogen Atom

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

Go Radius of Bohr's Orbit given Atomic Number

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

Go Radius of Orbit given Angular Velocity

r orbit_AV = \frac{v e}{ω}

How to Evaluate Bohr's Radius?

Bohr's Radius evaluator uses Bohr Radius of an Atom = (Quantum Number/Atomic Number)*0.529*10^(-10) to evaluate the Bohr Radius of an Atom, The Bohr's Radius formula is defined as is a physical constant, expressing the most probable distance between the electron and the nucleus in a Hydrogen atom. Bohr Radius of an Atom is denoted by a_o symbol.

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

FAQs on Bohr's Radius

What is the formula to find Bohr's Radius?

The formula of Bohr's Radius is expressed as Bohr Radius of an Atom = (Quantum Number/Atomic Number)*0.529*10^(-10). Here is an example- 2.5E+7 = (8/17)*0.529*10^(-10).

How to calculate Bohr's Radius?

With Quantum Number (n_quantum) & Atomic Number (Z) we can find Bohr's Radius using the formula - Bohr Radius of an Atom = (Quantum Number/Atomic Number)*0.529*10^(-10).

Can the Bohr's Radius be negative?

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

Which unit is used to measure Bohr's Radius?

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

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Bohr's Radius Formula

Bohr's Radius Example

Bohr's Radius Solution

Bohr's Radius Formula Elements

Other formulas in Radius of Bohr's Orbit category

How to Evaluate Bohr's Radius?

FAQs on Bohr's Radius

Variable Name