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Anharmonicity Constant given Second Overtone Frequency Formula

GoAnharmonicity Constant given Fundamental Frequency Formula

GoAnharmonicity Constant given First 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{1}{4} \cdot (1 - (\frac{v 0->3}{3 \cdot v vib}))

x_e - Anharmonicity Constant?v_0->3 - Second Overtone Frequency?v_vib - Vibrational Frequency?

Anharmonicity Constant given Second Overtone Frequency Example

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

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

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

0.2179 = \frac{1}{4} \cdot (1 - (\frac{0.5}{3 \cdot 1.3}))

0.2179 = \frac{1}{4} \cdot (1 - (\frac{0.5Hz}{3 \cdot 1.3Hz}))

0.2179 = \frac{1}{4} \cdot (1 - (\frac{0.5}{3 \cdot 1.3}))

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Anharmonicity Constant given Second Overtone Frequency Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

x e = \frac{1}{4} \cdot (1 - (\frac{0.5Hz}{3 \cdot 1.3Hz}))

Next Step Prepare to Evaluate

∴

x e = \frac{1}{4} \cdot (1 - (\frac{0.5}{3 \cdot 1.3}))

Next Step Evaluate

∴

x e = 0.217948717948718

LAST Step Rounding Answer

∴

x e = 0.2179

Anharmonicity Constant given Second Overtone 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

Second Overtone Frequency

Second Overtone Frequency is the frequency of photons on the second excited state/ overtone band of a diatomic molecule.

Symbol: v_0->3

Measurement: FrequencyUnit: Hz

Note: Value can be positive or negative.

Formulas to find Second Overtone Frequency

Vibrational Frequency

The Vibrational Frequency is the frequency of photons on the excited state.

Symbol: v_vib

Measurement: FrequencyUnit: Hz

Note: Value can be positive or negative.

Formulas to find Vibrational Frequency

Other Formulas to find Anharmonicity Constant

Go Anharmonicity Constant given Fundamental Frequency

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

Go Anharmonicity Constant given First Overtone Frequency

x e = \frac{1}{3} \cdot (1 - (\frac{v 0->2}{2 \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 Second Overtone Frequency?

Anharmonicity Constant given Second Overtone Frequency evaluator uses Anharmonicity Constant = 1/4*(1-(Second Overtone Frequency/(3*Vibrational Frequency))) to evaluate the Anharmonicity Constant, The Anharmonicity constant given second overtone 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 Second Overtone Frequency using this online evaluator? To use this online evaluator for Anharmonicity Constant given Second Overtone Frequency, enter Second Overtone Frequency (v_0->3) & Vibrational Frequency (v_vib) and hit the calculate button.

FAQs on Anharmonicity Constant given Second Overtone Frequency

What is the formula to find Anharmonicity Constant given Second Overtone Frequency?

The formula of Anharmonicity Constant given Second Overtone Frequency is expressed as Anharmonicity Constant = 1/4*(1-(Second Overtone Frequency/(3*Vibrational Frequency))). Here is an example- 0.217949 = 1/4*(1-(0.5/(3*1.3))).

How to calculate Anharmonicity Constant given Second Overtone Frequency?

With Second Overtone Frequency (v_0->3) & Vibrational Frequency (v_vib) we can find Anharmonicity Constant given Second Overtone Frequency using the formula - Anharmonicity Constant = 1/4*(1-(Second Overtone Frequency/(3*Vibrational Frequency))).

What are the other ways to Calculate Anharmonicity Constant?

Here are the different ways to Calculate Anharmonicity Constant-

Anharmonicity Constant=(Vibration Frequency-Fundamental Frequency)/(2*Vibration Frequency)
Anharmonicity Constant=1/3*(1-(First Overtone Frequency/(2*Vibrational Frequency)))

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Anharmonicity Constant given Second Overtone Frequency Formula

​GoAnharmonicity Constant given Fundamental Frequency Formula

​GoAnharmonicity Constant given First Overtone Frequency Formula

Anharmonicity Constant given Second Overtone Frequency Example

Anharmonicity Constant given Second Overtone Frequency Solution

Anharmonicity Constant given Second Overtone Frequency Formula Elements

Other Formulas to find Anharmonicity Constant

Other formulas in Vibrational Spectroscopy category

How to Evaluate Anharmonicity Constant given Second Overtone Frequency?

FAQs on Anharmonicity Constant given Second Overtone Frequency

Variable Name

GoAnharmonicity Constant given Fundamental Frequency Formula

GoAnharmonicity Constant given First Overtone Frequency Formula