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Rotational Constant given Moment of Inertia Formula

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Rotational Constant given MI is defined for relating in energy and Rotational energy levels in diatomic molecules. Check FAQs

B MI = \frac{{[h-]}^{2}}{2 \cdot I}

B_MI - Rotational Constant given MI?I - Moment of Inertia?[h-] - Reduced Planck constant?

Rotational Constant given Moment of Inertia Example

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Here is how the Rotational Constant given Moment of Inertia equation looks like with Values.

Here is how the Rotational Constant given Moment of Inertia equation looks like with Units.

Here is how the Rotational Constant given Moment of Inertia equation looks like.

4.9E-69 = \frac{{1.1E-34}^{2}}{2 \cdot 1.125}

4.9E-69m⁻¹ = \frac{{1.1E-34}^{2}}{2 \cdot 1.125kg·m²}

4.9E-69 = \frac{{1.1E-34}^{2}}{2 \cdot 1.125}

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Rotational Constant given Moment of Inertia Solution

Follow our step by step solution on how to calculate Rotational Constant given Moment of Inertia?

FIRST Step Consider the formula

B MI = \frac{{[h-]}^{2}}{2 \cdot I}

Next Step Substitute values of Variables

∴

B MI = \frac{{[h-]}^{2}}{2 \cdot 1.125kg·m²}

Next Step Substitute values of Constants

∴

B MI = \frac{{1.1E-34}^{2}}{2 \cdot 1.125kg·m²}

Next Step Prepare to Evaluate

∴

B MI = \frac{{1.1E-34}^{2}}{2 \cdot 1.125}

Next Step Evaluate

∴

B MI = 4.94276302954955E-69m⁻¹

LAST Step Rounding Answer

∴

B MI = 4.9E-69m⁻¹

Rotational Constant given Moment of Inertia Formula Elements

Variables

Constants

Rotational Constant given MI

Rotational Constant given MI is defined for relating in energy and Rotational energy levels in diatomic molecules.

Symbol: B_MI

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value can be positive or negative.

Formulas to find Rotational Constant given MI

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 Constant given Moment of Inertia?

Rotational Constant given Moment of Inertia evaluator uses Rotational Constant given MI = ([h-]^2)/(2*Moment of Inertia) to evaluate the Rotational Constant given MI, The Rotational constant given Moment of Inertia formula is defined for relating in energy and Rotational energy levels in diatomic molecules. It is inversely proportional to moment of inertia. Rotational Constant given MI is denoted by B_MI symbol.

How to evaluate Rotational Constant given Moment of Inertia using this online evaluator? To use this online evaluator for Rotational Constant given Moment of Inertia, enter Moment of Inertia (I) and hit the calculate button.

FAQs on Rotational Constant given Moment of Inertia

What is the formula to find Rotational Constant given Moment of Inertia?

The formula of Rotational Constant given Moment of Inertia is expressed as Rotational Constant given MI = ([h-]^2)/(2*Moment of Inertia). Here is an example- 4.9E-69 = ([h-]^2)/(2*1.125).

How to calculate Rotational Constant given Moment of Inertia?

With Moment of Inertia (I) we can find Rotational Constant given Moment of Inertia using the formula - Rotational Constant given MI = ([h-]^2)/(2*Moment of Inertia). This formula also uses Reduced Planck constant .

Can the Rotational Constant given Moment of Inertia be negative?

Yes, the Rotational Constant given Moment of Inertia, measured in Reciprocal Length can be negative.

Which unit is used to measure Rotational Constant given Moment of Inertia?

Rotational Constant given Moment of Inertia is usually measured using the 1 per Meter[m⁻¹] for Reciprocal Length. 1 per Kilometer[m⁻¹], 1 per Mile[m⁻¹], 1 per Yard[m⁻¹] are the few other units in which Rotational Constant given Moment of Inertia can be measured.

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