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First Overtone Frequency Formula

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

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

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

First Overtone Frequency Example

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

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

Here is how the First Overtone Frequency equation looks like.

0.728 = (2 \cdot 1.3) \cdot (1 - 3 \cdot 0.24)

0.728Hz = (2 \cdot 1.3Hz) \cdot (1 - 3 \cdot 0.24)

0.728 = (2 \cdot 1.3) \cdot (1 - 3 \cdot 0.24)

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First Overtone Frequency Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

v 0->2 = (2 \cdot 1.3Hz) \cdot (1 - 3 \cdot 0.24)

Next Step Prepare to Evaluate

∴

v 0->2 = (2 \cdot 1.3) \cdot (1 - 3 \cdot 0.24)

LAST Step Evaluate

∴

v 0->2 = 0.728Hz

First Overtone Frequency Formula Elements

Variables

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

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

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 First Overtone Frequency?

First Overtone Frequency evaluator uses First Overtone Frequency = (2*Vibrational Frequency)*(1-3*Anharmonicity Constant) to evaluate the First Overtone Frequency, The First overtone frequency formula is defined as the frequency of photons on the first excited state/ overtone band of a diatomic molecule. First Overtone Frequency is denoted by v_0->2 symbol.

How to evaluate First Overtone Frequency using this online evaluator? To use this online evaluator for First Overtone Frequency, enter Vibrational Frequency (v_vib) & Anharmonicity Constant (x_e) and hit the calculate button.

FAQs on First Overtone Frequency

What is the formula to find First Overtone Frequency?

The formula of First Overtone Frequency is expressed as First Overtone Frequency = (2*Vibrational Frequency)*(1-3*Anharmonicity Constant). Here is an example- 0.728 = (2*1.3)*(1-3*0.24).

How to calculate First Overtone Frequency?

With Vibrational Frequency (v_vib) & Anharmonicity Constant (x_e) we can find First Overtone Frequency using the formula - First Overtone Frequency = (2*Vibrational Frequency)*(1-3*Anharmonicity Constant).

Can the First Overtone Frequency be negative?

Yes, the First Overtone Frequency, measured in Frequency can be negative.

Which unit is used to measure First Overtone Frequency?

First Overtone Frequency is usually measured using the Hertz[Hz] for Frequency. Petahertz[Hz], Terahertz[Hz], Gigahertz[Hz] are the few other units in which First Overtone Frequency can be measured.

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First Overtone Frequency Formula

First Overtone Frequency Example

First Overtone Frequency Solution

First Overtone Frequency Formula Elements

Other formulas in Vibrational Spectroscopy category

How to Evaluate First Overtone Frequency?

FAQs on First Overtone Frequency

Variable Name