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Anharmonic Potential Constant Formula

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Anharmonic Potential Constant is a constant determined by the shape of the Anharmonic potential of a molecule in vibrational state. Check FAQs

α e = \frac{B v - B e}{v + \frac{1}{2}}

α_e - Anharmonic Potential Constant?B_v - Rotational Constant vib?B_e - Rotational Constant Equilibrium?v - Vibrational Quantum Number?

Anharmonic Potential Constant Example

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Here is how the Anharmonic Potential Constant equation looks like with Values.

Here is how the Anharmonic Potential Constant equation looks like with Units.

Here is how the Anharmonic Potential Constant equation looks like.

6 = \frac{35 - 20}{2 + \frac{1}{2}}

6 = \frac{351/m - 20m⁻¹}{2 + \frac{1}{2}}

6 = \frac{35 - 20}{2 + \frac{1}{2}}

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Anharmonic Potential Constant Solution

Follow our step by step solution on how to calculate Anharmonic Potential Constant?

FIRST Step Consider the formula

α e = \frac{B v - B e}{v + \frac{1}{2}}

Next Step Substitute values of Variables

∴

α e = \frac{351/m - 20m⁻¹}{2 + \frac{1}{2}}

Next Step Convert Units

∴

α e = \frac{35Diopter - 20m⁻¹}{2 + \frac{1}{2}}

Next Step Prepare to Evaluate

∴

α e = \frac{35 - 20}{2 + \frac{1}{2}}

LAST Step Evaluate

∴

α e = 6

Anharmonic Potential Constant Formula Elements

Variables

Anharmonic Potential Constant

Anharmonic Potential Constant is a constant determined by the shape of the Anharmonic potential of a molecule in vibrational state.

Symbol: α_e

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Anharmonic Potential Constant

Rotational Constant vib

Rotational Constant vib is the rotational constant for a given vibrational state of a diatomic molecule.

Symbol: B_v

Measurement: Wave NumberUnit: 1/m

Note: Value can be positive or negative.

Formulas to find Rotational Constant vib

Rotational Constant Equilibrium

Rotational Constant Equilibrium is the rotational constant corresponding to the equilibrium geometry of the molecule.

Symbol: B_e

Measurement: Linear Atomic DensityUnit: m⁻¹

Note: Value can be positive or negative.

Formulas to find Rotational Constant Equilibrium

Vibrational Quantum Number

Vibrational quantum number describes values of conserved quantities in the dynamics of a quantum system in a diatomic molecule.

Symbol: v

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Vibrational Quantum Number

Other formulas in Vibrational Spectroscopy category

Go Vibrational Quantum Number using Vibrational Frequency

v = (\frac{E vf}{[hP] \cdot v vib}) - \frac{1}{2}

Go Vibrational Quantum Number using Vibrational Wavenumber

v = (\frac{E vf}{[hP]} \cdot ω') - \frac{1}{2}

Go Rotational Constant for Vibrational State

B v = B e + (α e \cdot (v + \frac{1}{2}))

Go Rotational Constant Related to Equilibrium

B e = B v - (α e \cdot (v + \frac{1}{2}))

How to Evaluate Anharmonic Potential Constant?

Anharmonic Potential Constant evaluator uses Anharmonic Potential Constant = (Rotational Constant vib-Rotational Constant Equilibrium)/(Vibrational Quantum Number+1/2) to evaluate the Anharmonic Potential Constant, The Anharmonic potential constant formula is defined as a constant determined by the shape of the Anharmonic potential of a molecule in vibrational state. Anharmonic Potential Constant is denoted by α_e symbol.

How to evaluate Anharmonic Potential Constant using this online evaluator? To use this online evaluator for Anharmonic Potential Constant, enter Rotational Constant vib (B_v), Rotational Constant Equilibrium (B_e) & Vibrational Quantum Number (v) and hit the calculate button.

FAQs on Anharmonic Potential Constant

What is the formula to find Anharmonic Potential Constant?

The formula of Anharmonic Potential Constant is expressed as Anharmonic Potential Constant = (Rotational Constant vib-Rotational Constant Equilibrium)/(Vibrational Quantum Number+1/2). Here is an example- 6 = (35-20)/(2+1/2).

How to calculate Anharmonic Potential Constant?

With Rotational Constant vib (B_v), Rotational Constant Equilibrium (B_e) & Vibrational Quantum Number (v) we can find Anharmonic Potential Constant using the formula - Anharmonic Potential Constant = (Rotational Constant vib-Rotational Constant Equilibrium)/(Vibrational Quantum Number+1/2).

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Anharmonic Potential Constant Formula

Anharmonic Potential Constant Example

Anharmonic Potential Constant Solution

Anharmonic Potential Constant Formula Elements

Other formulas in Vibrational Spectroscopy category

How to Evaluate Anharmonic Potential Constant?

FAQs on Anharmonic Potential Constant

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