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Rotational Energy using Centrifugal Distortion Formula

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Rotational Energy given CD is energy of the rotational levels in the Rotational Spectroscopy of Diatomic Molecules. Check FAQs

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

E_{rot_CD} - Rotational Energy given CD?B - Rotational Constant?J - Rotational Level?DC_j - Centrifugal Distortion Constant given RE?

Rotational Energy using Centrifugal Distortion Example

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

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

Here is how the Rotational Energy using Centrifugal Distortion equation looks like.

667616 = (60.8 \cdot 4 \cdot (4 + 1)) - (-1666 \cdot (4^{2}) \cdot ({(4 + 1)}^{2}))

667616J = (60.8m⁻¹ \cdot 4 \cdot (4 + 1)) - (-1666 \cdot (4^{2}) \cdot ({(4 + 1)}^{2}))

667616 = (60.8 \cdot 4 \cdot (4 + 1)) - (-1666 \cdot (4^{2}) \cdot ({(4 + 1)}^{2}))

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Rotational Energy using Centrifugal Distortion Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

E rot_CD = (60.8m⁻¹ \cdot 4 \cdot (4 + 1)) - (-1666 \cdot (4^{2}) \cdot ({(4 + 1)}^{2}))

Next Step Prepare to Evaluate

∴

E rot_CD = (60.8 \cdot 4 \cdot (4 + 1)) - (-1666 \cdot (4^{2}) \cdot ({(4 + 1)}^{2}))

LAST Step Evaluate

∴

E rot_CD = 667616J

Rotational Energy using Centrifugal Distortion Formula Elements

Variables

Rotational Energy given CD

Rotational Energy given CD is energy of the rotational levels in the Rotational Spectroscopy of Diatomic Molecules.

Symbol: E_{rot_CD}

Measurement: EnergyUnit: J

Note: Value can be positive or negative.

Formulas to find Rotational Energy given CD

Rotational Constant

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

Symbol: B

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value can be positive or negative.

Formulas to find Rotational Constant

Rotational Level

Rotational Level is numerical value of the level of rotational energy in Rotational Spectroscopy of Diatomic Molecules ( it takes numerical values as 0,1,2,3,4...).

Symbol: J

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Rotational Level

Centrifugal Distortion Constant given RE

The Centrifugal Distortion Constant given RE is several orders of magnitude smaller than the rotational constant, B.

Symbol: DC_j

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Centrifugal Distortion Constant given RE

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 using Centrifugal Distortion?

Rotational Energy using Centrifugal Distortion evaluator uses Rotational Energy given CD = (Rotational Constant*Rotational Level*(Rotational Level+1))-(Centrifugal Distortion Constant given RE*(Rotational Level^2)*((Rotational Level+1)^2)) to evaluate the Rotational Energy given CD, The Rotational energy using centrifugal distortion 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. Rotational Energy given CD is denoted by E_{rot_CD} symbol.

How to evaluate Rotational Energy using Centrifugal Distortion using this online evaluator? To use this online evaluator for Rotational Energy using Centrifugal Distortion, enter Rotational Constant (B), Rotational Level (J) & Centrifugal Distortion Constant given RE (DC_j) and hit the calculate button.

FAQs on Rotational Energy using Centrifugal Distortion

What is the formula to find Rotational Energy using Centrifugal Distortion?

The formula of Rotational Energy using Centrifugal Distortion is expressed as Rotational Energy given CD = (Rotational Constant*Rotational Level*(Rotational Level+1))-(Centrifugal Distortion Constant given RE*(Rotational Level^2)*((Rotational Level+1)^2)). Here is an example- 667616 = (60.8*4*(4+1))-((-1666)*(4^2)*((4+1)^2)).

How to calculate Rotational Energy using Centrifugal Distortion?

With Rotational Constant (B), Rotational Level (J) & Centrifugal Distortion Constant given RE (DC_j) we can find Rotational Energy using Centrifugal Distortion using the formula - Rotational Energy given CD = (Rotational Constant*Rotational Level*(Rotational Level+1))-(Centrifugal Distortion Constant given RE*(Rotational Level^2)*((Rotational Level+1)^2)).

Can the Rotational Energy using Centrifugal Distortion be negative?

Yes, the Rotational Energy using Centrifugal Distortion, measured in Energy can be negative.

Which unit is used to measure Rotational Energy using Centrifugal Distortion?

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

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Rotational Energy using Centrifugal Distortion Formula

Rotational Energy using Centrifugal Distortion Example

Rotational Energy using Centrifugal Distortion Solution

Rotational Energy using Centrifugal Distortion Formula Elements

Other formulas in Rotational Energy category

How to Evaluate Rotational Energy using Centrifugal Distortion?

FAQs on Rotational Energy using Centrifugal Distortion

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