Radii of Stationary States Solution

STEP 0: Pre-Calculation Summary
Formula Used
Radii of Stationary States = [Bohr-r]*((Quantum Number^2)/Atomic Number)
rn = [Bohr-r]*((nquantum^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
rn = [Bohr-r]*((nquantum^2)/Z) --> [Bohr-r]*((8^2)/17)
Evaluating ... ...
rn = 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
​ LaTeX ​ Go Mass Number = Number of Protons+Number of Neutrons
Electric Charge
​ LaTeX ​ Go Electric Charge = Number of Electron*[Charge-e]
Number of Neutrons
​ LaTeX ​ Go Number of Neutrons = Mass Number-Atomic Number
Wave Number of Electromagnetic Wave
​ LaTeX ​ Go Wave Number = 1/Wavelength of Light Wave

Radii of Stationary States Formula

​LaTeX ​Go
Radii of Stationary States = [Bohr-r]*((Quantum Number^2)/Atomic Number)
rn = [Bohr-r]*((nquantum^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 rn 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 (nquantum) & 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 rn = [Bohr-r]*((nquantum^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 (nquantum) & 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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