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Total Energy of Electron in nth Orbit Calculator

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✖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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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 00.006 seconds)

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Created by Akshada Kulkarni

National Institute of Information Technology (NIIT), Neemrana

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Indian Institute of Technology (IIT), Kanpur

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< Electrons and Orbits Calculators

Velocity of Electron in Bohr's Orbit

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

Potential Energy of Electron given Atomic Number

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

Total Energy of Electron

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

Orbital Frequency of Electron

LaTeX Go Orbital Frequency = 1/Time Period of Electron

Total Energy of Electron in nth Orbit Formula

LaTeX Go

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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