Total Energy of Electron in nth Orbit Calculator

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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

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Radius of Bohr's Orbit

✖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%

✖Total Energy of Atom given nth Orbital is the energy consumed by the body when measured in electron volts.ⓘ Total Energy of Electron in nth Orbit [E_{eV_orbital}]

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Formula

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Total Energy of Electron in nth Orbit

Formula

`"E"_{"eV_orbital"} = (-("[Mass-e]"*("[Charge-e]"^4)*("Z"^2))/(8*("[Permitivity-vacuum]"^2)*("n"_{"quantum"}^2)*("[hP]"^2)))`

Example

`"-9.9E^-18J"=(-("[Mass-e]"*("[Charge-e]"^4)*(("17")^2))/(8*("[Permitivity-vacuum]"^2)*(("8")^2)*("[hP]"^2)))`

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Total Energy of Electron in nth Orbit Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Energy of Atom given nth Orbital = (-([Mass-e]*([Charge-e]^4)*(Atomic Number^2))/(8*([Permitivity-vacuum]^2)*(Quantum Number^2)*([hP]^2)))
E_{eV_orbital} = (-([Mass-e]*([Charge-e]^4)*(Z^2))/(8*([Permitivity-vacuum]^2)*(n_quantum^2)*([hP]^2)))
This formula uses 4 Constants, 3 Variables

Constants Used

[Permitivity-vacuum] - Permittivity of vacuum Value Taken As 8.85E-12
[Charge-e] - Charge of electron Value Taken As 1.60217662E-19
[Mass-e] - Mass of electron Value Taken As 9.10938356E-31
[hP] - Planck constant Value Taken As 6.626070040E-34

Variables Used

Total Energy of Atom given nth Orbital - (Measured in Joule) - Total Energy of Atom given nth Orbital 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_orbital} = (-([Mass-e]*([Charge-e]^4)*(Z^2))/(8*([Permitivity-vacuum]^2)*(n_quantum^2)*([hP]^2))) --> (-([Mass-e]*([Charge-e]^4)*(17^2))/(8*([Permitivity-vacuum]^2)*(8^2)*([hP]^2)))

Evaluating ... ...

E_{eV_orbital} = -9.85280402362298E-18

STEP 3: Convert Result to Output's Unit

-9.85280402362298E-18 Joule --> No Conversion Required

FINAL ANSWER

-9.85280402362298E-18 ≈ -9.9E-18 Joule <-- Total Energy of Atom given nth Orbital

(Calculation completed in 00.004 seconds)

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National Institute of Information Technology (NIIT), Neemrana

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< 16 Electrons & Orbits Calculators

Change in Wave Number of Moving Particle

Go Wave Number of moving Particle = 1.097*10^7*((Final Quantum Number)^2-(Initial Quantum Number)^2)/((Final Quantum Number^2)*(Initial Quantum Number^2))

Change in Wavelength of Moving Particle

Go Wave Number = ((Final Quantum Number^2)*(Initial Quantum Number^2))/(1.097*10^7*((Final Quantum Number)^2-(Initial Quantum Number)^2))

Total Energy of Electron in nth Orbit

Go Total Energy of Atom given nth Orbital = (-([Mass-e]*([Charge-e]^4)*(Atomic Number^2))/(8*([Permitivity-vacuum]^2)*(Quantum Number^2)*([hP]^2)))

Velocity of Electron in Bohr's Orbit

Go Velocity of Electron given BO = ([Charge-e]^2)/(2*[Permitivity-vacuum]*Quantum Number*[hP])

Energy Gap between Two Orbits

Go Energy of Electron in Orbit = [Rydberg]*(1/(Initial Orbit^2)-(1/(Final Orbit^2)))

Velocity of Electron given Time Period of Electron

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

Total Energy of Electron given Atomic Number

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

Potential Energy of Electron given Atomic Number

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

Energy of Electron in Final Orbit

Go Energy of Electron in Orbit = (-([Rydberg]/(Final Quantum Number^2)))

Velocity of Electron in Orbit given Angular Velocity

Go Velocity of Electron given AV = Angular Velocity*Radius of Orbit

Energy of Electron in Initial Orbit

Go Energy of Electron in Orbit = (-([Rydberg]/(Initial Orbit^2)))

Total Energy of Electron

Go Total Energy = -1.085*(Atomic Number)^2/(Quantum Number)^2

Atomic Mass

Go Atomic Mass = Total Mass of Proton+Total Mass of Neutron

Number of Electrons in nth Shell

Go Number of Electrons in nth Shell = (2*(Quantum Number^2))

Number of Orbitals in nth Shell

Go Number of Orbitals in nth Shell = (Quantum Number^2)

Orbital Frequency of Electron

Go Orbital Frequency = 1/Time Period of Electron

Total Energy of Electron in nth Orbit Formula

What is Bohr's theory?

A theory of atomic structure in which the hydrogen atom (Bohr atom ) is assumed to consist of a proton as the 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 Total Energy of Electron in nth Orbit?

Total Energy of Electron in nth Orbit calculator uses Total Energy of Atom given nth Orbital = (-([Mass-e]*([Charge-e]^4)*(Atomic Number^2))/(8*([Permitivity-vacuum]^2)*(Quantum Number^2)*([hP]^2))) to calculate the Total Energy of Atom given nth Orbital, The Total energy of electron in nth orbit is defined as the sum of kinetic energy and potential energy consumed by a moving particle when it moves from one point to another. Total Energy of Atom given nth Orbital is denoted by E_{eV_orbital} symbol.

How to calculate Total Energy of Electron in nth Orbit using this online calculator? To use this online calculator for Total Energy of Electron in nth Orbit, enter Atomic Number (Z) & Quantum Number (n_quantum) and hit the calculate button. Here is how the Total Energy of Electron in nth Orbit calculation can be explained with given input values -> -9.9E-18 = (-([Mass-e]*([Charge-e]^4)*(17^2))/(8*([Permitivity-vacuum]^2)*(8^2)*([hP]^2))).

FAQ

What is Total Energy of Electron in nth Orbit?

The Total energy of electron in nth orbit is defined as the sum of kinetic energy and potential energy consumed by a moving particle when it moves from one point to another and is represented as E_{eV_orbital} = (-([Mass-e]*([Charge-e]^4)*(Z^2))/(8*([Permitivity-vacuum]^2)*(n_quantum^2)*([hP]^2))) or Total Energy of Atom given nth Orbital = (-([Mass-e]*([Charge-e]^4)*(Atomic Number^2))/(8*([Permitivity-vacuum]^2)*(Quantum Number^2)*([hP]^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 Total Energy of Electron in nth Orbit?

The Total energy of electron in nth orbit is defined as the sum of kinetic energy and potential energy consumed by a moving particle when it moves from one point to another is calculated using Total Energy of Atom given nth Orbital = (-([Mass-e]*([Charge-e]^4)*(Atomic Number^2))/(8*([Permitivity-vacuum]^2)*(Quantum Number^2)*([hP]^2))). To calculate Total Energy of Electron in nth Orbit, 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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