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Radii of Stationary States Formula

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Radii of Stationary States is the radius of a quantum state with all observables independent of time. Check FAQs

r n = [Bohr-r] \cdot (\frac{{n quantum}^{2}}{Z})

r_n - Radii of Stationary States?n_quantum - Quantum Number?Z - Atomic Number?[Bohr-r] - Bohr radius?

Radii of Stationary States Example

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Here is how the Radii of Stationary States equation looks like with Values.

Here is how the Radii of Stationary States equation looks like with Units.

Here is how the Radii of Stationary States equation looks like.

0.1992 = 5.3E-11 \cdot (\frac{8^{2}}{17})

0.1992nm = 5.3E-11m \cdot (\frac{8^{2}}{17})

0.1992 = 5.3E-11 \cdot (\frac{8^{2}}{17})

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Radii of Stationary States Solution

Follow our step by step solution on how to calculate Radii of Stationary States?

FIRST Step Consider the formula

r n = [Bohr-r] \cdot (\frac{{n quantum}^{2}}{Z})

Next Step Substitute values of Variables

∴

r n = [Bohr-r] \cdot (\frac{8^{2}}{17})

Next Step Substitute values of Constants

∴

r n = 5.3E-11m \cdot (\frac{8^{2}}{17})

Next Step Prepare to Evaluate

∴

r n = 5.3E-11 \cdot (\frac{8^{2}}{17})

Next Step Evaluate

∴

r n = 1.99152941176471E-10m

Next Step Convert to Output's Unit

∴

r n = 0.199152941176471nm

LAST Step Rounding Answer

∴

r n = 0.1992nm

Radii of Stationary States Formula Elements

Variables

Constants

Radii of Stationary States

Radii of Stationary States is the radius of a quantum state with all observables independent of time.

Symbol: r_n

Measurement: LengthUnit: nm

Note: Value should be greater than 0.

Formulas to find Radii of Stationary States

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

Bohr radius

Bohr radius is a fundamental physical constant representing the average distance between the nucleus and the electron in a hydrogen atom in its ground state.

Symbol: [Bohr-r]

Value: 0.529E-10 m

Other formulas in Structure of Atom category

Go Mass Number

A = p + + n 0

Go Number of Neutrons

n 0 = A - Z

Go Electric Charge

qe = n electron \cdot [Charge-e]

Go Wave Number of Electromagnetic Wave

k = \frac{1}{λ lightwave}

How to Evaluate Radii of Stationary States?

Radii of Stationary States evaluator uses Radii of Stationary States = [Bohr-r]*((Quantum Number^2)/Atomic Number) to evaluate the Radii of Stationary States, The Radii of Stationary States formula is defined as the radius of a quantum state with all observables independent of time which is calculated using the Bohr radius. Radii of Stationary States is denoted by r_n symbol.

How to evaluate Radii of Stationary States using this online evaluator? To use this online evaluator for Radii of Stationary States, enter Quantum Number (n_quantum) & Atomic Number (Z) and hit the calculate button.

FAQs on Radii of Stationary States

What is the formula to find Radii of Stationary States?

The formula of Radii of Stationary States is expressed as Radii of Stationary States = [Bohr-r]*((Quantum Number^2)/Atomic Number). Here is an example- 2E+8 = [Bohr-r]*((8^2)/17).

How to calculate Radii of Stationary States?

With Quantum Number (n_quantum) & Atomic Number (Z) we can find Radii of Stationary States using the formula - Radii of Stationary States = [Bohr-r]*((Quantum Number^2)/Atomic Number). This formula also uses Bohr radius constant(s).

Can the Radii of Stationary States be negative?

No, the Radii of Stationary States, measured in Length cannot be negative.

Which unit is used to measure Radii of Stationary States?

Radii of Stationary States is usually measured using the Nanometer[nm] for Length. Meter[nm], Millimeter[nm], Kilometer[nm] are the few other units in which Radii of Stationary States can be measured.

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