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Energy of Electron in Elliptical Orbit Formula

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Energy of EO is the amount of work done. Check FAQs

E eo = (- \frac{(Z^{2}) \cdot [Mass-e] \cdot ({[Charge-e]}^{4})}{8 \cdot ({[Permitivity-vacuum]}^{2}) \cdot ({[hP]}^{2}) \cdot ({n quantum}^{2})})

E_eo - Energy of EO?Z - Atomic Number?n_quantum - Quantum Number?[Mass-e] - Mass of electron?[Charge-e] - Charge of electron?[Permitivity-vacuum] - Permittivity of vacuum?[hP] - Planck constant?

Energy of Electron in Elliptical Orbit Example

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Here is how the Energy of Electron in Elliptical Orbit equation looks like with Values.

Here is how the Energy of Electron in Elliptical Orbit equation looks like with Units.

Here is how the Energy of Electron in Elliptical Orbit equation looks like.

-9.9E-18 = (- \frac{(17^{2}) \cdot 9.1E-31 \cdot ({1.6E-19}^{4})}{8 \cdot ({8.9E-12}^{2}) \cdot ({6.6E-34}^{2}) \cdot (8^{2})})

-9.9E-18J = (- \frac{(17^{2}) \cdot 9.1E-31kg \cdot ({1.6E-19C}^{4})}{8 \cdot ({8.9E-12F/m}^{2}) \cdot ({6.6E-34}^{2}) \cdot (8^{2})})

-9.9E-18 = (- \frac{(17^{2}) \cdot 9.1E-31 \cdot ({1.6E-19}^{4})}{8 \cdot ({8.9E-12}^{2}) \cdot ({6.6E-34}^{2}) \cdot (8^{2})})

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Sommerfeld Model » fx Energy of Electron in Elliptical Orbit

Energy of Electron in Elliptical Orbit Solution

Follow our step by step solution on how to calculate Energy of Electron in Elliptical Orbit?

FIRST Step Consider the formula

E eo = (- \frac{(Z^{2}) \cdot [Mass-e] \cdot ({[Charge-e]}^{4})}{8 \cdot ({[Permitivity-vacuum]}^{2}) \cdot ({[hP]}^{2}) \cdot ({n quantum}^{2})})

Next Step Substitute values of Variables

∴

E eo = (- \frac{(17^{2}) \cdot [Mass-e] \cdot ({[Charge-e]}^{4})}{8 \cdot ({[Permitivity-vacuum]}^{2}) \cdot ({[hP]}^{2}) \cdot (8^{2})})

Next Step Substitute values of Constants

∴

E eo = (- \frac{(17^{2}) \cdot 9.1E-31kg \cdot ({1.6E-19C}^{4})}{8 \cdot ({8.9E-12F/m}^{2}) \cdot ({6.6E-34}^{2}) \cdot (8^{2})})

Next Step Prepare to Evaluate

∴

E eo = (- \frac{(17^{2}) \cdot 9.1E-31 \cdot ({1.6E-19}^{4})}{8 \cdot ({8.9E-12}^{2}) \cdot ({6.6E-34}^{2}) \cdot (8^{2})})

Next Step Evaluate

∴

E eo = -9.85280402362298E-18J

LAST Step Rounding Answer

∴

E eo = -9.9E-18J

Energy of Electron in Elliptical Orbit Formula Elements

Variables

Constants

Energy of EO

Energy of EO is the amount of work done.

Symbol: E_eo

Measurement: EnergyUnit: J

Note: Value can be positive or negative.

Formulas to find Energy of EO

Atomic Number

Atomic Number is the number of protons present inside the nucleus of an atom of an element.

Symbol: Z

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Atomic Number

Quantum Number

Quantum Number describe values of conserved quantities in the dynamics of a quantum system.

Symbol: n_quantum

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Quantum Number

Mass of electron

Mass of electron is a fundamental physical constant, representing the amount of matter contained within an electron, an elementary particle with a negative electric charge.

Symbol: [Mass-e]

Value: 9.10938356E-31 kg

Charge of electron

Charge of electron is a fundamental physical constant, representing the electric charge carried by an electron, which is the elementary particle with a negative electric charge.

Symbol: [Charge-e]

Value: 1.60217662E-19 C

Permittivity of vacuum

Permittivity of vacuum is a fundamental physical constant that describes the ability of a vacuum to permit the transmission of electric field lines.

Symbol: [Permitivity-vacuum]

Value: 8.85E-12 F/m

Planck constant

Planck constant is a fundamental universal constant that defines the quantum nature of energy and relates the energy of a photon to its frequency.

Symbol: [hP]

Value: 6.626070040E-34

Other formulas in Sommerfeld Model category

Go Total Momentum of Electrons in Elliptical Orbit

Tp = \sqrt{(L^{2}) + ({p r}^{2})}

Go Radial Momentum of Electron

p orbit = \frac{n r \cdot [hP]}{2 \cdot π}

Go Quantum Number of Electron in Elliptical Orbit

n quantum = n r + n φ

Go Angular Momentum of Electron

L atom = \frac{k \cdot [hP]}{2 \cdot π}

How to Evaluate Energy of Electron in Elliptical Orbit?

Energy of Electron in Elliptical Orbit evaluator uses Energy of EO = (-((Atomic Number^2)*[Mass-e]*([Charge-e]^4))/(8*([Permitivity-vacuum]^2)*([hP]^2)*(Quantum Number^2))) to evaluate the Energy of EO, The Energy of electron in elliptical orbit is defined as is the energy consumed by a particle/electron to move in an elliptical orbit. Energy of EO is denoted by E_eo symbol.

How to evaluate Energy of Electron in Elliptical Orbit using this online evaluator? To use this online evaluator for Energy of Electron in Elliptical Orbit, enter Atomic Number (Z) & Quantum Number (n_quantum) and hit the calculate button.

FAQs on Energy of Electron in Elliptical Orbit

What is the formula to find Energy of Electron in Elliptical Orbit?

The formula of Energy of Electron in Elliptical Orbit is expressed as Energy of EO = (-((Atomic Number^2)*[Mass-e]*([Charge-e]^4))/(8*([Permitivity-vacuum]^2)*([hP]^2)*(Quantum Number^2))). Here is an example- -9.9E-18 = (-((17^2)*[Mass-e]*([Charge-e]^4))/(8*([Permitivity-vacuum]^2)*([hP]^2)*(8^2))).

How to calculate Energy of Electron in Elliptical Orbit?

With Atomic Number (Z) & Quantum Number (n_quantum) we can find Energy of Electron in Elliptical Orbit using the formula - Energy of EO = (-((Atomic Number^2)*[Mass-e]*([Charge-e]^4))/(8*([Permitivity-vacuum]^2)*([hP]^2)*(Quantum Number^2))). This formula also uses Mass of electron, Charge of electron, Permittivity of vacuum, Planck constant .

Can the Energy of Electron in Elliptical Orbit be negative?

Yes, the Energy of Electron in Elliptical Orbit, measured in Energy can be negative.

Which unit is used to measure Energy of Electron in Elliptical Orbit?

Energy of Electron in Elliptical Orbit is usually measured using the Joule[J] for Energy. Kilojoule[J], Gigajoule[J], Megajoule[J] are the few other units in which Energy of Electron in Elliptical Orbit can be measured.

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Energy of Electron in Elliptical Orbit Formula

Energy of Electron in Elliptical Orbit Example

Energy of Electron in Elliptical Orbit Solution

Energy of Electron in Elliptical Orbit Formula Elements

Other formulas in Sommerfeld Model category

How to Evaluate Energy of Electron in Elliptical Orbit?

FAQs on Energy of Electron in Elliptical Orbit

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