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Rotational Energy Formula

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Energy for Rotation is energy of the rotational levels in the Rotational Spectroscopy of Diatomic Molecules. Check FAQs

E rotational = ({[h-]}^{2}) \cdot \frac{β}{2 \cdot I}

E_rotational - Energy for Rotation?β - Beta in Schrodinger Equation?I - Moment of Inertia?[h-] - Reduced Planck constant?

Rotational Energy Example

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Here is how the Rotational Energy equation looks like with Values.

Here is how the Rotational Energy equation looks like with Units.

Here is how the Rotational Energy equation looks like.

3.5E-68 = ({1.1E-34}^{2}) \cdot \frac{7}{2 \cdot 1.125}

3.5E-68J = ({1.1E-34}^{2}) \cdot \frac{7}{2 \cdot 1.125kg·m²}

3.5E-68 = ({1.1E-34}^{2}) \cdot \frac{7}{2 \cdot 1.125}

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Rotational Energy Solution

Follow our step by step solution on how to calculate Rotational Energy?

FIRST Step Consider the formula

E rotational = ({[h-]}^{2}) \cdot \frac{β}{2 \cdot I}

Next Step Substitute values of Variables

∴

E rotational = ({[h-]}^{2}) \cdot \frac{7}{2 \cdot 1.125kg·m²}

Next Step Substitute values of Constants

∴

E rotational = ({1.1E-34}^{2}) \cdot \frac{7}{2 \cdot 1.125kg·m²}

Next Step Prepare to Evaluate

∴

E rotational = ({1.1E-34}^{2}) \cdot \frac{7}{2 \cdot 1.125}

Next Step Evaluate

∴

E rotational = 3.45993412068468E-68J

LAST Step Rounding Answer

∴

E rotational = 3.5E-68J

Rotational Energy Formula Elements

Variables

Constants

Energy for Rotation

Energy for Rotation is energy of the rotational levels in the Rotational Spectroscopy of Diatomic Molecules.

Symbol: E_rotational

Measurement: EnergyUnit: J

Note: Value can be positive or negative.

Formulas to find Energy for Rotation

Beta in Schrodinger Equation

Beta in Schrodinger Equation is a constant related to rotational energy level.

Symbol: β

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Beta in Schrodinger Equation

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

Reduced Planck constant

Reduced Planck constant is a fundamental physical constant that relates the energy of a quantum system to the frequency of its associated wave function.

Symbol: [h-]

Value: 1.054571817E-34

Other formulas in Rotational Energy category

Go Beta using Rotational Level

β levels = J \cdot (J + 1)

Go Beta using Rotational Energy

β energy = 2 \cdot I \cdot \frac{E rot}{{[h-]}^{2}}

Go Centrifugal Distortion Constant using Rotational Energy

DC j = \frac{E rot - (B \cdot J \cdot (J + 1))}{J^{2}} \cdot ({(J + 1)}^{2})

Go Energy of Rotational Transitions between Rotational Levels

E RL = 2 \cdot B \cdot (J + 1)

How to Evaluate Rotational Energy?

Rotational Energy evaluator uses Energy for Rotation = ([h-]^2)*Beta in Schrodinger Equation/(2*Moment of Inertia) to evaluate the Energy for Rotation, The Rotational energy formula is defined as energy of series of lines in rotational spectrum of a diatomic molecule. Diatomic molecules are often approximated as rigid rotors, meaning that the bond length is assumed to be fixed. Energy for Rotation is denoted by E_rotational symbol.

How to evaluate Rotational Energy using this online evaluator? To use this online evaluator for Rotational Energy, enter Beta in Schrodinger Equation (β) & Moment of Inertia (I) and hit the calculate button.

FAQs on Rotational Energy

What is the formula to find Rotational Energy?

The formula of Rotational Energy is expressed as Energy for Rotation = ([h-]^2)*Beta in Schrodinger Equation/(2*Moment of Inertia). Here is an example- 3.5E-68 = ([h-]^2)*7/(2*1.125).

How to calculate Rotational Energy?

With Beta in Schrodinger Equation (β) & Moment of Inertia (I) we can find Rotational Energy using the formula - Energy for Rotation = ([h-]^2)*Beta in Schrodinger Equation/(2*Moment of Inertia). This formula also uses Reduced Planck constant .

Can the Rotational Energy be negative?

Yes, the Rotational Energy, measured in Energy can be negative.

Which unit is used to measure Rotational Energy?

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

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