Kinetic Energy of Electron Calculator

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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

✖Atomic Number is the number of protons present inside the nucleus of an atom of an element.ⓘ Atomic Number [Z]			+10% -10%
✖Quantum Number describe values of conserved quantities in the dynamics of a quantum system.ⓘ Quantum Number [n_quantum]			+10% -10%

✖Energy of Atom is the energy consumed by the body when measured in electron volts.ⓘ Kinetic Energy of Electron [E_eV]

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Formula

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Kinetic Energy of Electron

Formula

`"E"_{"eV"} = -2.178*10^(-18)*("Z")^2/("n"_{"quantum"})^2`

Example

`"-1.6E^-36J"=-2.178*10^(-18)*("17")^2/("8")^2`

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Kinetic Energy of Electron Solution

STEP 0: Pre-Calculation Summary

Formula Used

Energy of Atom = -2.178*10^(-18)*(Atomic Number)^2/(Quantum Number)^2
E_eV = -2.178*10^(-18)*(Z)^2/(n_quantum)^2
This formula uses 3 Variables

Variables Used

Energy of Atom - (Measured in Electron-Volt) - Energy of Atom is the energy consumed by the body when measured in electron volts.
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

E_eV = -2.178*10^(-18)*(Z)^2/(n_quantum)^2 --> -2.178*10^(-18)*(17)^2/(8)^2

Evaluating ... ...

E_eV = -9.83503125E-18

STEP 3: Convert Result to Output's Unit

-1.57574641085916E-36 Joule --> No Conversion Required

FINAL ANSWER

-1.57574641085916E-36 ≈ -1.6E-36 Joule <-- Energy of Atom

(Calculation completed in 00.004 seconds)

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Home » Chemistry » Atomic structure » Structure of Atom » Kinetic Energy of Electron

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Created by Anirudh Singh

National Institute of Technology (NIT), Jamshedpur

Anirudh Singh has created this Calculator and 300+ more calculators!

Verified by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

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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

Kinetic Energy of Electron Formula

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

What is Bohr's theory?

Bohr's theory is a theory of atomic structure in which the hydrogen atom (Bohr atom ) is assumed to consist of a proton as nucleus, with a single electron moving in distinct circular orbits around it, each orbit corresponding to a specific quantized energy state: the theory was extended to other atoms.

How to Calculate Kinetic Energy of Electron?

Kinetic Energy of Electron calculator uses Energy of Atom = -2.178*10^(-18)*(Atomic Number)^2/(Quantum Number)^2 to calculate the Energy of Atom, The Kinetic Energy of Electron formula is defined as kinetic energy consumed by a moving particle when it moves from one point to another. Energy of Atom is denoted by E_eV symbol.

How to calculate Kinetic Energy of Electron using this online calculator? To use this online calculator for Kinetic Energy of Electron, enter Atomic Number (Z) & Quantum Number (n_quantum) and hit the calculate button. Here is how the Kinetic Energy of Electron calculation can be explained with given input values -> -1.6E-36 = -2.178*10^(-18)*(17)^2/(8)^2.

FAQ

What is Kinetic Energy of Electron?

The Kinetic Energy of Electron formula is defined as kinetic energy consumed by a moving particle when it moves from one point to another and is represented as E_eV = -2.178*10^(-18)*(Z)^2/(n_quantum)^2 or Energy of Atom = -2.178*10^(-18)*(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 Kinetic Energy of Electron?

The Kinetic Energy of Electron formula is defined as kinetic energy consumed by a moving particle when it moves from one point to another is calculated using Energy of Atom = -2.178*10^(-18)*(Atomic Number)^2/(Quantum Number)^2. To calculate Kinetic Energy of Electron, you need Atomic Number (Z) & Quantum Number (n_quantum). 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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