Energy of Stationary States Solution

STEP 0: Pre-Calculation Summary
Formula Used
Energy of Stationary States = [Rydberg]*((Atomic Number^2)/(Quantum Number^2))
En = [Rydberg]*((Z^2)/(nquantum^2))
This formula uses 1 Constants, 3 Variables
Constants Used
[Rydberg] - Rydberg Constant Value Taken As 10973731.6
Variables Used
Energy of Stationary States - (Measured in Joule) - Energy of Stationary States is the energy at a quantum state with all observables independent of time.
Atomic Number - Atomic Number is the number of protons present inside the nucleus of an atom of an element.
Quantum Number - Quantum Number describe values of conserved quantities in the dynamics of a quantum system.
STEP 1: Convert Input(s) to Base Unit
Atomic Number: 17 --> No Conversion Required
Quantum Number: 8 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
En = [Rydberg]*((Z^2)/(nquantum^2)) --> [Rydberg]*((17^2)/(8^2))
Evaluating ... ...
En = 49553256.75625
STEP 3: Convert Result to Output's Unit
49553256.75625 Joule --> No Conversion Required
FINAL ANSWER
49553256.75625 5E+7 Joule <-- Energy of Stationary States
(Calculation completed in 00.004 seconds)

Credits

Created by Soupayan banerjee
National University of Judicial Science (NUJS), Kolkata
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Amity Institute Of Applied Sciences (AIAS, Amity University), Noida, India
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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

Energy of Stationary States Formula

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

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 Energy of Stationary States?

Energy of Stationary States calculator uses Energy of Stationary States = [Rydberg]*((Atomic Number^2)/(Quantum Number^2)) to calculate the Energy of Stationary States, The Energy of Stationary States formula is defined as the energy of a quantum state with all observables independent of time. Stationary state is also called energy eigenvector, energy eigenstate, energy eigenfunction, or energy eigenket. Energy of Stationary States is denoted by En symbol.

How to calculate Energy of Stationary States using this online calculator? To use this online calculator for Energy of Stationary States, enter Atomic Number (Z) & Quantum Number (nquantum) and hit the calculate button. Here is how the Energy of Stationary States calculation can be explained with given input values -> 5E+7 = [Rydberg]*((17^2)/(8^2)).

FAQ

What is Energy of Stationary States?
The Energy of Stationary States formula is defined as the energy of a quantum state with all observables independent of time. Stationary state is also called energy eigenvector, energy eigenstate, energy eigenfunction, or energy eigenket and is represented as En = [Rydberg]*((Z^2)/(nquantum^2)) or Energy of Stationary States = [Rydberg]*((Atomic Number^2)/(Quantum Number^2)). Atomic Number is the number of protons present inside the nucleus of an atom of an element & Quantum Number describe values of conserved quantities in the dynamics of a quantum system.
How to calculate Energy of Stationary States?
The Energy of Stationary States formula is defined as the energy of a quantum state with all observables independent of time. Stationary state is also called energy eigenvector, energy eigenstate, energy eigenfunction, or energy eigenket is calculated using Energy of Stationary States = [Rydberg]*((Atomic Number^2)/(Quantum Number^2)). To calculate Energy of Stationary States, you need Atomic Number (Z) & Quantum Number (nquantum). With our tool, you need to enter the respective value for Atomic Number & Quantum 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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