Radii of Stationary States Calculator

⤿

Structure of Atom

Bohr's Atomic Model

Compton Effect

De Broglie Hypothesis

Distance of Closest Approach

Heisenberg's Uncertainty Principle

Important Formulas on Bohr's Atomic Model

Photo Electric Effect

Planck Quantum Theory

Rutherford Scattering

Schrodinger Wave Equation

Sommerfeld Model

✖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]

⎘ Copy

👎

Formula

✖

Radii of Stationary States

Formula

`"r"_{"n"} = "[Bohr-r]"*(("n"_{"quantum"}^2)/"Z")`

Example

`"0.199153nm"="[Bohr-r]"*((("8")^2)/"17")`

Calculator

LaTeX

Reset

👍

Download Atomic structure Formula PDF PDF Image

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)

You are here -

Home » Chemistry » Atomic structure » Structure of Atom » Radii of Stationary States

Credits

Created by Soupayan banerjee

National University of Judicial Science (NUJS), Kolkata

Soupayan banerjee has created this Calculator and 200+ more calculators!

Verified by Pratibha

Amity Institute Of Applied Sciences (AIAS, Amity University), Noida, India

Pratibha has verified this Calculator and 50+ more calculators!

< 25 Structure of Atom Calculators

Bragg equation for Wavelength of Atoms in Crystal Lattice

Go Wavelength of X-ray = 2*Interplanar Spacing of Crystal*(sin(Bragg's Angle of Crystal))/Order of Diffraction

Bragg Equation for Distance between Planes of Atoms in Crystal Lattice

Go Interplanar Spacing in nm = (Order of Diffraction*Wavelength of X-ray)/(2*sin(Bragg's Angle of Crystal))

Bragg Equation for Order of Diffraction of Atoms in Crystal Lattice

Go Order of Diffraction = (2*Interplanar Spacing in nm*sin(Bragg's Angle of Crystal))/Wavelength of X-ray

Mass of Moving Electron

Go Mass of Moving Electron = Rest Mass of Electron/sqrt(1-((Velocity of Electron/[c])^2))

Electrostatic Force between Nucleus and Electron

Go Force between n and e = ([Coulomb]*Atomic Number*([Charge-e]^2))/(Radius of Orbit^2)

Energy of Stationary States

Go Energy of Stationary States = [Rydberg]*((Atomic Number^2)/(Quantum Number^2))

Radii of Stationary States

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

Radius of Orbit given Time Period of Electron

Go Radius of Orbit = (Time Period of Electron*Velocity of Electron)/(2*pi)

Time Period of Revolution of Electron

Go Time Period of Electron = (2*pi*Radius of Orbit)/Velocity of Electron

Orbital Frequency given Velocity of Electron

Go Frequency using Energy = Velocity of Electron/(2*pi*Radius of Orbit)

Total Energy in Electron Volts

Go Kinetic Energy of Photon = (6.8/(6.241506363094*10^(18)))*(Atomic Number)^2/(Quantum Number)^2

Energy in Electron Volts

Go Kinetic Energy of Photon = (6.8/(6.241506363094*10^(18)))*(Atomic Number)^2/(Quantum Number)^2

Kinetic Energy in Electron Volts

Go Energy of an Atom = -(13.6/(6.241506363094*10^(18)))*(Atomic Number)^2/(Quantum Number)^2

Radius of Orbit given Potential Energy of Electron

Go Radius of Orbit = (-(Atomic Number*([Charge-e]^2))/Potential Energy of Electron)

Energy of Electron

Go Kinetic Energy of Photon = 1.085*10^-18*(Atomic Number)^2/(Quantum Number)^2

Wave Number of Moving Particle

Go Wave Number = Energy of Atom/([hP]*[c])

Kinetic Energy of Electron

Go Energy of Atom = -2.178*10^(-18)*(Atomic Number)^2/(Quantum Number)^2

Radius of Orbit given Total Energy of Electron

Go Radius of Orbit = (-(Atomic Number*([Charge-e]^2))/(2*Total Energy))

Radius of Orbit given Kinetic Energy of Electron

Go Radius of Orbit = (Atomic Number*([Charge-e]^2))/(2*Kinetic Energy)

Angular Velocity of Electron

Go Angular Velocity Electron = Velocity of Electron/Radius of Orbit

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

Specific Charge

Go Specific Charge = Charge/[Mass-e]

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.

Home

FREE PDFs

🔍 Search