FormulaDen.com

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

Vibrational Frequency given Fundamental Frequency Formula

GoVibrational Frequency given First Overtone Frequency Formula

GoVibrational Frequency given Second Overtone Frequency Formula

Fx Copy

LaTeX Copy

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

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

v_vib - Vibrational Frequency?v_0->1 - Fundamental Frequency?x_e - Anharmonicity Constant?

Vibrational Frequency given Fundamental Frequency Example

With values

With units

Only example

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

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

Here is how the Vibrational Frequency given Fundamental Frequency equation looks like.

1.3462 = \frac{0.7}{1 - 2 \cdot 0.24}

1.3462Hz = \frac{0.7Hz}{1 - 2 \cdot 0.24}

1.3462 = \frac{0.7}{1 - 2 \cdot 0.24}

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 Vibrational Frequency given Fundamental Frequency

Vibrational Frequency given Fundamental Frequency Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

v vib = \frac{0.7Hz}{1 - 2 \cdot 0.24}

Next Step Prepare to Evaluate

∴

v vib = \frac{0.7}{1 - 2 \cdot 0.24}

Next Step Evaluate

∴

v vib = 1.34615384615385Hz

LAST Step Rounding Answer

∴

v vib = 1.3462Hz

Vibrational Frequency given Fundamental Frequency Formula Elements

Variables

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

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

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 to find Vibrational Frequency

Go Vibrational Frequency given First Overtone Frequency

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

Go Vibrational Frequency given Second Overtone Frequency

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

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 Vibrational Frequency given Fundamental Frequency?

Vibrational Frequency given Fundamental Frequency evaluator uses Vibrational Frequency = Fundamental Frequency/(1-2*Anharmonicity Constant) to evaluate the Vibrational Frequency, The Vibrational frequency given fundamental frequency formula is defined as the frequency of photons on the excited state of a diatomic molecule. Vibrational Frequency is denoted by v_vib symbol.

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

FAQs on Vibrational Frequency given Fundamental Frequency

What is the formula to find Vibrational Frequency given Fundamental Frequency?

The formula of Vibrational Frequency given Fundamental Frequency is expressed as Vibrational Frequency = Fundamental Frequency/(1-2*Anharmonicity Constant). Here is an example- 1.346154 = 0.7/(1-2*0.24).

How to calculate Vibrational Frequency given Fundamental Frequency?

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

What are the other ways to Calculate Vibrational Frequency?

Here are the different ways to Calculate Vibrational Frequency-

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

Can the Vibrational Frequency given Fundamental Frequency be negative?

Yes, the Vibrational Frequency given Fundamental Frequency, measured in Frequency can be negative.

Which unit is used to measure Vibrational Frequency given Fundamental Frequency?

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

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Vibrational Frequency given Fundamental Frequency Formula

​GoVibrational Frequency given First Overtone Frequency Formula

​GoVibrational Frequency given Second Overtone Frequency Formula

Vibrational Frequency given Fundamental Frequency Example

Vibrational Frequency given Fundamental Frequency Solution

Vibrational Frequency given Fundamental Frequency Formula Elements

Other Formulas to find Vibrational Frequency

Other formulas in Vibrational Spectroscopy category

How to Evaluate Vibrational Frequency given Fundamental Frequency?

FAQs on Vibrational Frequency given Fundamental Frequency

Variable Name

GoVibrational Frequency given First Overtone Frequency Formula

GoVibrational Frequency given Second Overtone Frequency Formula