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Anharmonicity Constant given Fundamental Frequency Formula

GoAnharmonicity Constant given First Overtone Frequency Formula

GoAnharmonicity Constant given Second Overtone Frequency Formula

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Anharmonicity Constant is the deviation of a system from being a harmonic oscillator which is related to the vibrational energy levels of diatomic molecule. Check FAQs

x e = \frac{v 0 - v 0->1}{2 \cdot v 0}

x_e - Anharmonicity Constant?v₀ - Vibration Frequency?v_0->1 - Fundamental Frequency?

Anharmonicity Constant given Fundamental Frequency Example

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Here is how the Anharmonicity Constant given Fundamental Frequency equation looks like with Values.

Here is how the Anharmonicity Constant given Fundamental Frequency equation looks like with Units.

Here is how the Anharmonicity Constant given Fundamental Frequency equation looks like.

0.4973 = \frac{130 - 0.7}{2 \cdot 130}

0.4973 = \frac{130Hz - 0.7Hz}{2 \cdot 130Hz}

0.4973 = \frac{130 - 0.7}{2 \cdot 130}

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Anharmonicity Constant given Fundamental Frequency Solution

Follow our step by step solution on how to calculate Anharmonicity Constant given Fundamental Frequency?

FIRST Step Consider the formula

x e = \frac{v 0 - v 0->1}{2 \cdot v 0}

Next Step Substitute values of Variables

∴

x e = \frac{130Hz - 0.7Hz}{2 \cdot 130Hz}

Next Step Prepare to Evaluate

∴

x e = \frac{130 - 0.7}{2 \cdot 130}

Next Step Evaluate

∴

x e = 0.497307692307692

LAST Step Rounding Answer

∴

x e = 0.4973

Anharmonicity Constant given Fundamental Frequency Formula Elements

Variables

Anharmonicity Constant

Anharmonicity Constant is the deviation of a system from being a harmonic oscillator which is related to the vibrational energy levels of diatomic molecule.

Symbol: x_e

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Anharmonicity Constant

Vibration Frequency

Vibration Frequency is the frequency of photons on the excited state.

Symbol: v₀

Measurement: FrequencyUnit: Hz

Note: Value can be positive or negative.

Formulas to find Vibration Frequency

Fundamental Frequency

Fundamental Frequency is the frequency of photons on the fundamental excited state/ overtone band of a diatomic molecule.

Symbol: v_0->1

Measurement: FrequencyUnit: Hz

Note: Value can be positive or negative.

Formulas to find Fundamental Frequency

Other Formulas to find Anharmonicity Constant

Go Anharmonicity Constant given First Overtone Frequency

x e = \frac{1}{3} \cdot (1 - (\frac{v 0->2}{2 \cdot v vib}))

Go Anharmonicity Constant given Second Overtone Frequency

x e = \frac{1}{4} \cdot (1 - (\frac{v 0->3}{3 \cdot v vib}))

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 Anharmonicity Constant given Fundamental Frequency?

Anharmonicity Constant given Fundamental Frequency evaluator uses Anharmonicity Constant = (Vibration Frequency-Fundamental Frequency)/(2*Vibration Frequency) to evaluate the Anharmonicity Constant, The Anharmonicity constant given fundamental frequency formula is defined as the deviation of a system from being a harmonic oscillator in relation to the vibrational energy levels of a diatomic molecule. Anharmonicity Constant is denoted by x_e symbol.

How to evaluate Anharmonicity Constant given Fundamental Frequency using this online evaluator? To use this online evaluator for Anharmonicity Constant given Fundamental Frequency, enter Vibration Frequency (v₀) & Fundamental Frequency (v_0->1) and hit the calculate button.

FAQs on Anharmonicity Constant given Fundamental Frequency

What is the formula to find Anharmonicity Constant given Fundamental Frequency?

The formula of Anharmonicity Constant given Fundamental Frequency is expressed as Anharmonicity Constant = (Vibration Frequency-Fundamental Frequency)/(2*Vibration Frequency). Here is an example- 0.497308 = (130-0.7)/(2*130).

How to calculate Anharmonicity Constant given Fundamental Frequency?

With Vibration Frequency (v₀) & Fundamental Frequency (v_0->1) we can find Anharmonicity Constant given Fundamental Frequency using the formula - Anharmonicity Constant = (Vibration Frequency-Fundamental Frequency)/(2*Vibration Frequency).

What are the other ways to Calculate Anharmonicity Constant?

Here are the different ways to Calculate Anharmonicity Constant-

Anharmonicity Constant=1/3*(1-(First Overtone Frequency/(2*Vibrational Frequency)))
Anharmonicity Constant=1/4*(1-(Second Overtone Frequency/(3*Vibrational Frequency)))

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Anharmonicity Constant given Fundamental Frequency Formula

​GoAnharmonicity Constant given First Overtone Frequency Formula

​GoAnharmonicity Constant given Second Overtone Frequency Formula

Anharmonicity Constant given Fundamental Frequency Example

Anharmonicity Constant given Fundamental Frequency Solution

Anharmonicity Constant given Fundamental Frequency Formula Elements

Other Formulas to find Anharmonicity Constant

Other formulas in Vibrational Spectroscopy category

How to Evaluate Anharmonicity Constant given Fundamental Frequency?

FAQs on Anharmonicity Constant given Fundamental Frequency

Variable Name

GoAnharmonicity Constant given First Overtone Frequency Formula

GoAnharmonicity Constant given Second Overtone Frequency Formula