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Centrifugal Distortion Constant using Rotational Energy Formula

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

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

DC_j - Centrifugal Distortion Constant given RE?E_rot - Rotational Energy?B - Rotational Constant?J - Rotational Level?

Centrifugal Distortion Constant using Rotational Energy Example

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

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

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

-1665.625 = \frac{150 - (60.8 \cdot 4 \cdot (4 + 1))}{4^{2}} \cdot ({(4 + 1)}^{2})

-1665.625 = \frac{150J - (60.8m⁻¹ \cdot 4 \cdot (4 + 1))}{4^{2}} \cdot ({(4 + 1)}^{2})

-1665.625 = \frac{150 - (60.8 \cdot 4 \cdot (4 + 1))}{4^{2}} \cdot ({(4 + 1)}^{2})

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Centrifugal Distortion Constant using Rotational Energy Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

DC j = \frac{150J - (60.8m⁻¹ \cdot 4 \cdot (4 + 1))}{4^{2}} \cdot ({(4 + 1)}^{2})

Next Step Prepare to Evaluate

∴

DC j = \frac{150 - (60.8 \cdot 4 \cdot (4 + 1))}{4^{2}} \cdot ({(4 + 1)}^{2})

LAST Step Evaluate

∴

DC j = -1665.625

Centrifugal Distortion Constant using Rotational Energy Formula Elements

Variables

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

Rotational Energy

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

Symbol: E_rot

Measurement: EnergyUnit: J

Note: Value can be positive or negative.

Formulas to find Rotational Energy

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

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 Energy of Rotational Transitions between Rotational Levels

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

Go Rotational Constant given Moment of Inertia

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

How to Evaluate Centrifugal Distortion Constant using Rotational Energy?

Centrifugal Distortion Constant using Rotational Energy evaluator uses Centrifugal Distortion Constant given RE = (Rotational Energy-(Rotational Constant*Rotational Level*(Rotational Level+1)))/(Rotational Level^2)*((Rotational Level+1)^2) to evaluate the Centrifugal Distortion Constant given RE, The Centrifugal Distortion Constant using rotational energy in a diatomic molecule is the effect of the distortion is to stretch the bond, lengthening it and increasing the moment of inertia. Centrifugal Distortion Constant given RE is denoted by DC_j symbol.

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

FAQs on Centrifugal Distortion Constant using Rotational Energy

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

The formula of Centrifugal Distortion Constant using Rotational Energy is expressed as Centrifugal Distortion Constant given RE = (Rotational Energy-(Rotational Constant*Rotational Level*(Rotational Level+1)))/(Rotational Level^2)*((Rotational Level+1)^2). Here is an example- -1665.625 = (150-(60.8*4*(4+1)))/(4^2)*((4+1)^2).

How to calculate Centrifugal Distortion Constant using Rotational Energy?

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

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Centrifugal Distortion Constant using Rotational Energy Formula

Centrifugal Distortion Constant using Rotational Energy Example

Centrifugal Distortion Constant using Rotational Energy Solution

Centrifugal Distortion Constant using Rotational Energy Formula Elements

Other formulas in Rotational Energy category

How to Evaluate Centrifugal Distortion Constant using Rotational Energy?

FAQs on Centrifugal Distortion Constant using Rotational Energy

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