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Wave Number of Spectral Lines Formula

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Wave Number of Particle is the spatial frequency of a particle, measured in cycles per unit distance or radians per unit distance. Check FAQs

ν' = ([R] \cdot (Z^{2})) \cdot (\frac{1}{{n initial}^{2}} - (\frac{1}{{n final}^{2}}))

ν' - Wave Number of Particle?Z - Atomic Number?n_initial - Initial Orbit?n_final - Final Orbit?[R] - Universal gas constant?

Wave Number of Spectral Lines Example

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Here is how the Wave Number of Spectral Lines equation looks like with Values.

Here is how the Wave Number of Spectral Lines equation looks like with Units.

Here is how the Wave Number of Spectral Lines equation looks like.

217.9483 = (8.3145 \cdot (17^{2})) \cdot (\frac{1}{3^{2}} - (\frac{1}{7^{2}}))

217.94831/m = (8.3145 \cdot (17^{2})) \cdot (\frac{1}{3^{2}} - (\frac{1}{7^{2}}))

217.9483 = (8.3145 \cdot (17^{2})) \cdot (\frac{1}{3^{2}} - (\frac{1}{7^{2}}))

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Wave Number of Spectral Lines Solution

Follow our step by step solution on how to calculate Wave Number of Spectral Lines?

FIRST Step Consider the formula

ν' = ([R] \cdot (Z^{2})) \cdot (\frac{1}{{n initial}^{2}} - (\frac{1}{{n final}^{2}}))

Next Step Substitute values of Variables

∴

ν' = ([R] \cdot (17^{2})) \cdot (\frac{1}{3^{2}} - (\frac{1}{7^{2}}))

Next Step Substitute values of Constants

∴

ν' = (8.3145 \cdot (17^{2})) \cdot (\frac{1}{3^{2}} - (\frac{1}{7^{2}}))

Next Step Prepare to Evaluate

∴

ν' = (8.3145 \cdot (17^{2})) \cdot (\frac{1}{3^{2}} - (\frac{1}{7^{2}}))

Next Step Evaluate

∴

ν' = 217.948271804652Diopter

Next Step Convert to Output's Unit

∴

ν' = 217.9482718046521/m

LAST Step Rounding Answer

∴

ν' = 217.94831/m

Wave Number of Spectral Lines Formula Elements

Variables

Constants

Wave Number of Particle

Wave Number of Particle is the spatial frequency of a particle, measured in cycles per unit distance or radians per unit distance.

Symbol: ν'

Measurement: Wave NumberUnit: 1/m

Note: Value can be positive or negative.

Formulas to find Wave Number of Particle

Atomic Number

Atomic Number is the number of protons present inside the nucleus of an atom of an element.

Symbol: Z

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Atomic Number

Initial Orbit

Initial Orbit is a number that is related to the principal quantum number or energy quantum number.

Symbol: n_initial

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Initial Orbit

Final Orbit

Final Orbit is a number that is related to the principal quantum number or energy quantum number.

Symbol: n_final

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Final Orbit

Universal gas constant

Universal gas constant is a fundamental physical constant that appears in the ideal gas law, relating the pressure, volume, and temperature of an ideal gas.

Symbol: [R]

Value: 8.31446261815324

Other formulas in Hydrogen Spectrum category

Go Number of Spectral Lines

n s = \frac{n quantum \cdot (n quantum - 1)}{2}

Go Rydberg's Equation

ν' HA = [Rydberg] \cdot (Z^{2}) \cdot (\frac{1}{{n initial}^{2}} - (\frac{1}{{n final}^{2}}))

Go Rydberg's Equation for hydrogen

ν' HA = [Rydberg] \cdot (\frac{1}{{n initial}^{2}} - (\frac{1}{{n final}^{2}}))

Go Rydberg's Equation for Lyman series

ν' HA = [Rydberg] \cdot (\frac{1}{1^{2}} - \frac{1}{{n final}^{2}})

How to Evaluate Wave Number of Spectral Lines?

Wave Number of Spectral Lines evaluator uses Wave Number of Particle = ([R]*(Atomic Number^2))*(1/(Initial Orbit^2)-(1/(Final Orbit^2))) to evaluate the Wave Number of Particle, The Wave number of spectral lines is the formula for correlating the wavenumber of the spectral lines emitted and the energy shells involved. Wave Number of Particle is denoted by ν' symbol.

How to evaluate Wave Number of Spectral Lines using this online evaluator? To use this online evaluator for Wave Number of Spectral Lines, enter Atomic Number (Z), Initial Orbit (n_initial) & Final Orbit (n_final) and hit the calculate button.

FAQs on Wave Number of Spectral Lines

What is the formula to find Wave Number of Spectral Lines?

The formula of Wave Number of Spectral Lines is expressed as Wave Number of Particle = ([R]*(Atomic Number^2))*(1/(Initial Orbit^2)-(1/(Final Orbit^2))). Here is an example- 217.9483 = ([R]*(17^2))*(1/(3^2)-(1/(7^2))).

How to calculate Wave Number of Spectral Lines?

With Atomic Number (Z), Initial Orbit (n_initial) & Final Orbit (n_final) we can find Wave Number of Spectral Lines using the formula - Wave Number of Particle = ([R]*(Atomic Number^2))*(1/(Initial Orbit^2)-(1/(Final Orbit^2))). This formula also uses Universal gas constant .

Can the Wave Number of Spectral Lines be negative?

Yes, the Wave Number of Spectral Lines, measured in Wave Number can be negative.

Which unit is used to measure Wave Number of Spectral Lines?

Wave Number of Spectral Lines is usually measured using the 1 per Meter[1/m] for Wave Number. Diopter[1/m], Kayser[1/m] are the few other units in which Wave Number of Spectral Lines can be measured.

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Wave Number of Spectral Lines Formula

Wave Number of Spectral Lines Example

Wave Number of Spectral Lines Solution

Wave Number of Spectral Lines Formula Elements

Other formulas in Hydrogen Spectrum category

How to Evaluate Wave Number of Spectral Lines?

FAQs on Wave Number of Spectral Lines

Variable Name