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Wave Number of Spectral Lines Calculator

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Hydrogen Spectrum Electrons and Orbits Radius of Bohr's Orbit

✖Atomic Number is the number of protons present inside the nucleus of an atom of an element.ⓘ Atomic Number [Z]			+10% -10%
✖Initial Orbit is a number that is related to the principal quantum number or energy quantum number.ⓘ Initial Orbit [n_initial]			+10% -10%
✖Final Orbit is a number that is related to the principal quantum number or energy quantum number.ⓘ Final Orbit [n_final]			+10% -10%

✖Wave Number of Particle is the spatial frequency of a particle, measured in cycles per unit distance or radians per unit distance.ⓘ Wave Number of Spectral Lines [ν']

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Wave Number of Spectral Lines Solution

STEP 0: Pre-Calculation Summary

Formula Used

Wave Number of Particle = ([R]*(Atomic Number^2))*(1/(Initial Orbit^2)-(1/(Final Orbit^2)))
ν' = ([R]*(Z^2))*(1/(n_initial^2)-(1/(n_final^2)))
This formula uses 1 Constants, 4 Variables

Constants Used

[R] - Universal gas constant Value Taken As 8.31446261815324

Variables Used

Wave Number of Particle - (Measured in Diopter) - Wave Number of Particle is the spatial frequency of a particle, measured in cycles per unit distance or radians per unit distance.
Atomic Number - Atomic Number is the number of protons present inside the nucleus of an atom of an element.
Initial Orbit - Initial Orbit is a number that is related to the principal quantum number or energy quantum number.
Final Orbit - Final Orbit is a number that is related to the principal quantum number or energy quantum number.

STEP 1: Convert Input(s) to Base Unit

Atomic Number: 17 --> No Conversion Required
Initial Orbit: 3 --> No Conversion Required
Final Orbit: 7 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ν' = ([R]*(Z^2))*(1/(n_initial^2)-(1/(n_final^2))) --> ([R]*(17^2))*(1/(3^2)-(1/(7^2)))

Evaluating ... ...

ν' = 217.948271804652

STEP 3: Convert Result to Output's Unit

217.948271804652 Diopter -->217.948271804652 1 per Meter (Check conversion here)

FINAL ANSWER

217.948271804652 ≈ 217.9483 1 per Meter <-- Wave Number of Particle

(Calculation completed in 00.004 seconds)

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Created by Akshada Kulkarni

National Institute of Information Technology (NIIT), Neemrana

Akshada Kulkarni has created this Calculator and 500+ more calculators!

Verified by Suman Ray Pramanik

Indian Institute of Technology (IIT), Kanpur

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< Hydrogen Spectrum Calculators

Rydberg's Equation

LaTeX Go Wave Number of Particle for HA = [Rydberg]*(Atomic Number^2)*(1/(Initial Orbit^2)-(1/(Final Orbit^2)))

Rydberg's Equation for hydrogen

LaTeX Go Wave Number of Particle for HA = [Rydberg]*(1/(Initial Orbit^2)-(1/(Final Orbit^2)))

Rydberg's Equation for Lyman series

LaTeX Go Wave Number of Particle for HA = [Rydberg]*(1/(1^2)-1/(Final Orbit^2))

Number of Spectral Lines

LaTeX Go Number of Spectral Lines = (Quantum Number*(Quantum Number-1))/2

Wave Number of Spectral Lines Formula

LaTeX Go

Wave Number of Particle = ([R]*(Atomic Number^2))*(1/(Initial Orbit^2)-(1/(Final Orbit^2)))
ν' = ([R]*(Z^2))*(1/(n_initial^2)-(1/(n_final^2)))

Explain Bohr's model.

The Bohr model describes the properties of atomic electrons in terms of a set of allowed (possible) values. Atoms absorb or emit radiation only when the electrons abruptly jump between allowed, or stationary, states. Bohr’s model can explain the line spectrum of the hydrogen atom. Radiation is absorbed when an electron goes from orbit of lower energy to higher energy; whereas radiation is emitted when it moves from higher to lower orbit.

How to Calculate Wave Number of Spectral Lines?

Wave Number of Spectral Lines calculator uses Wave Number of Particle = ([R]*(Atomic Number^2))*(1/(Initial Orbit^2)-(1/(Final Orbit^2))) to calculate 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 calculate Wave Number of Spectral Lines using this online calculator? To use this online calculator for Wave Number of Spectral Lines, enter Atomic Number (Z), Initial Orbit (n_initial) & Final Orbit (n_final) and hit the calculate button. Here is how the Wave Number of Spectral Lines calculation can be explained with given input values -> 217.9483 = ([R]*(17^2))*(1/(3^2)-(1/(7^2))).

FAQ

What is Wave Number of Spectral Lines?

The Wave number of spectral lines is the formula for correlating the wavenumber of the spectral lines emitted and the energy shells involved and is represented as ν' = ([R]*(Z^2))*(1/(n_initial^2)-(1/(n_final^2))) or Wave Number of Particle = ([R]*(Atomic Number^2))*(1/(Initial Orbit^2)-(1/(Final Orbit^2))). Atomic Number is the number of protons present inside the nucleus of an atom of an element, Initial Orbit is a number that is related to the principal quantum number or energy quantum number & Final Orbit is a number that is related to the principal quantum number or energy quantum number.

How to calculate Wave Number of Spectral Lines?

The Wave number of spectral lines is the formula for correlating the wavenumber of the spectral lines emitted and the energy shells involved is calculated using Wave Number of Particle = ([R]*(Atomic Number^2))*(1/(Initial Orbit^2)-(1/(Final Orbit^2))). To calculate Wave Number of Spectral Lines, you need Atomic Number (Z), Initial Orbit (n_initial) & Final Orbit (n_final). With our tool, you need to enter the respective value for Atomic Number, Initial Orbit & Final Orbit and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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