FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Anharmonicity Constant given First Overtone Frequency Formula

GoAnharmonicity Constant given Fundamental Frequency Formula

GoAnharmonicity Constant given Second Overtone Frequency Formula

Fx Copy

LaTeX Copy

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

x_e - Anharmonicity Constant?v_0->2 - First Overtone Frequency?v_vib - Vibrational Frequency?

Anharmonicity Constant given First Overtone Frequency Example

With values

With units

Only example

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

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

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

0.2372 = \frac{1}{3} \cdot (1 - (\frac{0.75}{2 \cdot 1.3}))

0.2372 = \frac{1}{3} \cdot (1 - (\frac{0.75Hz}{2 \cdot 1.3Hz}))

0.2372 = \frac{1}{3} \cdot (1 - (\frac{0.75}{2 \cdot 1.3}))

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Chemistry » Category

Physical Chemistry » Category

Physical spectroscopy » fx Anharmonicity Constant given First Overtone Frequency

Anharmonicity Constant given First Overtone Frequency Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

x e = \frac{1}{3} \cdot (1 - (\frac{0.75Hz}{2 \cdot 1.3Hz}))

Next Step Prepare to Evaluate

∴

x e = \frac{1}{3} \cdot (1 - (\frac{0.75}{2 \cdot 1.3}))

Next Step Evaluate

∴

x e = 0.237179487179487

LAST Step Rounding Answer

∴

x e = 0.2372

Anharmonicity Constant given First 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

First Overtone Frequency

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

Symbol: v_0->2

Measurement: FrequencyUnit: Hz

Note: Value can be positive or negative.

Formulas to find First 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 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 First Overtone Frequency?

Anharmonicity Constant given First Overtone Frequency evaluator uses Anharmonicity Constant = 1/3*(1-(First Overtone Frequency/(2*Vibrational Frequency))) to evaluate the Anharmonicity Constant, The Anharmonicity constant given first 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 First Overtone Frequency using this online evaluator? To use this online evaluator for Anharmonicity Constant given First Overtone Frequency, enter First Overtone Frequency (v_0->2) & Vibrational Frequency (v_vib) and hit the calculate button.

FAQs on Anharmonicity Constant given First Overtone Frequency

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

The formula of Anharmonicity Constant given First Overtone Frequency is expressed as Anharmonicity Constant = 1/3*(1-(First Overtone Frequency/(2*Vibrational Frequency))). Here is an example- 0.237179 = 1/3*(1-(0.75/(2*1.3))).

How to calculate Anharmonicity Constant given First Overtone Frequency?

With First Overtone Frequency (v_0->2) & Vibrational Frequency (v_vib) we can find Anharmonicity Constant given First Overtone Frequency using the formula - Anharmonicity Constant = 1/3*(1-(First Overtone Frequency/(2*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=1/4*(1-(Second Overtone Frequency/(3*Vibrational Frequency)))

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Anharmonicity Constant given First Overtone Frequency Formula

​GoAnharmonicity Constant given Fundamental Frequency Formula

​GoAnharmonicity Constant given Second Overtone Frequency Formula

Anharmonicity Constant given First Overtone Frequency Example

Anharmonicity Constant given First Overtone Frequency Solution

Anharmonicity Constant given First Overtone Frequency Formula Elements

Other Formulas to find Anharmonicity Constant

Other formulas in Vibrational Spectroscopy category

How to Evaluate Anharmonicity Constant given First Overtone Frequency?

FAQs on Anharmonicity Constant given First Overtone Frequency

Variable Name

GoAnharmonicity Constant given Fundamental Frequency Formula

GoAnharmonicity Constant given Second Overtone Frequency Formula