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Radii of Stationary States Calculator

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✖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%

✖Radii of Stationary States is the radius of a quantum state with all observables independent of time.ⓘ Radii of Stationary States [r_n]

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Formula

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Radii of Stationary States

Formula

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

Example

0.199153 nm = [Bohr-r] \cdot (\frac{8^{2}}{17})

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Radii of Stationary States Solution

STEP 0: Pre-Calculation Summary

Formula Used

Radii of Stationary States = [Bohr-r]*((Quantum Number^2)/Atomic Number)
r_n = [Bohr-r]*((n_quantum^2)/Z)
This formula uses 1 Constants, 3 Variables

Constants Used

[Bohr-r] - Bohr radius Value Taken As 0.529E-10

Variables Used

Radii of Stationary States - (Measured in Meter) - Radii of Stationary States is the radius of a quantum state with all observables independent of time.
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_n = [Bohr-r]*((n_quantum^2)/Z) --> [Bohr-r]*((8^2)/17)

Evaluating ... ...

r_n = 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 <-- Radii of Stationary States

(Calculation completed in 00.004 seconds)

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National University of Judicial Science (NUJS), Kolkata

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< Structure of Atom Calculators

Mass Number

Go Mass Number = Number of Protons+Number of Neutrons

Electric Charge

Go Electric Charge = Number of Electron*[Charge-e]

Number of Neutrons

Go Number of Neutrons = Mass Number-Atomic Number

Wave Number of Electromagnetic Wave

Go Wave Number = 1/Wavelength of Light Wave

Radii of Stationary States Formula

Radii of Stationary States = [Bohr-r]*((Quantum Number^2)/Atomic Number)
r_n = [Bohr-r]*((n_quantum^2)/Z)

What is Atomic Structure?

Atomic structure refers to the structure of an atom comprising a nucleus (center) in which the protons (positively charged) and neutrons (neutral) are present. The negatively charged particles called electrons revolve around the center of the nucleus.

How to Calculate Radii of Stationary States?

Radii of Stationary States calculator uses Radii of Stationary States = [Bohr-r]*((Quantum Number^2)/Atomic Number) to calculate 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 calculate Radii of Stationary States using this online calculator? To use this online calculator for Radii of Stationary States, enter Quantum Number (n_quantum) & Atomic Number (Z) and hit the calculate button. Here is how the Radii of Stationary States calculation can be explained with given input values -> 2E+8 = [Bohr-r]*((8^2)/17).

FAQ

What is 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 and is represented as r_n = [Bohr-r]*((n_quantum^2)/Z) or Radii of Stationary States = [Bohr-r]*((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 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 is calculated using Radii of Stationary States = [Bohr-r]*((Quantum Number^2)/Atomic Number). To calculate Radii of Stationary States, 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.

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