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Eigenvalue of Energy given Angular Momentum Quantum Number Formula

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Eigenvalue of Energy is the value of the solution that exists for the time-independent Schrodinger equation only for certain values of energy. Check FAQs

E = \frac{l \cdot (l + 1) \cdot {([hP])}^{2}}{2 \cdot I}

E - Eigenvalue of Energy?l - Angular Momentum Quantum Number?I - Moment of Inertia?[hP] - Planck constant?

Eigenvalue of Energy given Angular Momentum Quantum Number Example

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Here is how the Eigenvalue of Energy given Angular Momentum Quantum Number equation looks like with Values.

Here is how the Eigenvalue of Energy given Angular Momentum Quantum Number equation looks like with Units.

Here is how the Eigenvalue of Energy given Angular Momentum Quantum Number equation looks like.

7.2E-63 = \frac{1.9 \cdot (1.9 + 1) \cdot {(6.6E-34)}^{2}}{2 \cdot 0.0002}

7.2E-63J = \frac{1.9 \cdot (1.9 + 1) \cdot {(6.6E-34)}^{2}}{2 \cdot 0.0002kg·m²}

7.2E-63 = \frac{1.9 \cdot (1.9 + 1) \cdot {(6.6E-34)}^{2}}{2 \cdot 0.0002}

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Eigenvalue of Energy given Angular Momentum Quantum Number Solution

Follow our step by step solution on how to calculate Eigenvalue of Energy given Angular Momentum Quantum Number?

FIRST Step Consider the formula

E = \frac{l \cdot (l + 1) \cdot {([hP])}^{2}}{2 \cdot I}

Next Step Substitute values of Variables

∴

E = \frac{1.9 \cdot (1.9 + 1) \cdot {([hP])}^{2}}{2 \cdot 0.0002kg·m²}

Next Step Substitute values of Constants

∴

E = \frac{1.9 \cdot (1.9 + 1) \cdot {(6.6E-34)}^{2}}{2 \cdot 0.0002kg·m²}

Next Step Prepare to Evaluate

∴

E = \frac{1.9 \cdot (1.9 + 1) \cdot {(6.6E-34)}^{2}}{2 \cdot 0.0002}

Next Step Evaluate

∴

E = 7.19986520845746E-63J

LAST Step Rounding Answer

∴

E = 7.2E-63J

Eigenvalue of Energy given Angular Momentum Quantum Number Formula Elements

Variables

Constants

Eigenvalue of Energy

Eigenvalue of Energy is the value of the solution that exists for the time-independent Schrodinger equation only for certain values of energy.

Symbol: E

Measurement: EnergyUnit: J

Note: Value can be positive or negative.

Formulas to find Eigenvalue of Energy

Angular Momentum Quantum Number

Angular Momentum Quantum Number is the quantum number associated with the angular momentum of an atomic electron.

Symbol: l

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Angular Momentum Quantum Number

Moment of Inertia

Moment of Inertia is the measure of the resistance of a body to angular acceleration about a given axis.

Symbol: I

Measurement: Moment of InertiaUnit: kg·m²

Note: Value should be greater than 0.

Formulas to find Moment of Inertia

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 Electronic Spectroscopy category

Go Rydberg Constant given Compton Wavelength

R = \frac{{(α)}^{2}}{2 \cdot λ c}

Go Binding Energy of Photoelectron

E binding = ([hP] \cdot ν) - E kinetic - Φ

Go Frequency of Absorbed Radiation

ν mn = \frac{E m - E n}{[hP]}

Go Coherence Length of Wave

l C = \frac{{(λ wave)}^{2}}{2 \cdot Δλ}

How to Evaluate Eigenvalue of Energy given Angular Momentum Quantum Number?

Eigenvalue of Energy given Angular Momentum Quantum Number evaluator uses Eigenvalue of Energy = (Angular Momentum Quantum Number*(Angular Momentum Quantum Number+1)*([hP])^2)/(2*Moment of Inertia) to evaluate the Eigenvalue of Energy, The Eigenvalue of Energy given Angular Momentum Quantum Number is the solution that exists for the time-independent Schrodinger equation only for certain values of energy. Eigenvalue of Energy is denoted by E symbol.

How to evaluate Eigenvalue of Energy given Angular Momentum Quantum Number using this online evaluator? To use this online evaluator for Eigenvalue of Energy given Angular Momentum Quantum Number, enter Angular Momentum Quantum Number (l) & Moment of Inertia (I) and hit the calculate button.

FAQs on Eigenvalue of Energy given Angular Momentum Quantum Number

What is the formula to find Eigenvalue of Energy given Angular Momentum Quantum Number?

The formula of Eigenvalue of Energy given Angular Momentum Quantum Number is expressed as Eigenvalue of Energy = (Angular Momentum Quantum Number*(Angular Momentum Quantum Number+1)*([hP])^2)/(2*Moment of Inertia). Here is an example- 7.2E-63 = (1.9*(1.9+1)*([hP])^2)/(2*0.000168).

How to calculate Eigenvalue of Energy given Angular Momentum Quantum Number?

With Angular Momentum Quantum Number (l) & Moment of Inertia (I) we can find Eigenvalue of Energy given Angular Momentum Quantum Number using the formula - Eigenvalue of Energy = (Angular Momentum Quantum Number*(Angular Momentum Quantum Number+1)*([hP])^2)/(2*Moment of Inertia). This formula also uses Planck constant .

Can the Eigenvalue of Energy given Angular Momentum Quantum Number be negative?

Yes, the Eigenvalue of Energy given Angular Momentum Quantum Number, measured in Energy can be negative.

Which unit is used to measure Eigenvalue of Energy given Angular Momentum Quantum Number?

Eigenvalue of Energy given Angular Momentum Quantum Number is usually measured using the Joule[J] for Energy. Kilojoule[J], Gigajoule[J], Megajoule[J] are the few other units in which Eigenvalue of Energy given Angular Momentum Quantum Number can be measured.

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