Wave Number of Line Spectrum of Hydrogen Solution

STEP 0: Pre-Calculation Summary
Formula Used
Wave Number of Particle for HA = [Rydberg]*(1/(Principal Quantum Number of Lower Energy Level^2))-(1/(Principal Quantum Number of Upper Energy Level^2))
ν'HA = [Rydberg]*(1/(n1^2))-(1/(n2^2))
This formula uses 1 Constants, 3 Variables
Constants Used
[Rydberg] - Rydberg Constant Value Taken As 10973731.6
Variables Used
Wave Number of Particle for HA - (Measured in Diopter) - Wave Number of Particle for HA is the spatial frequency of a particle, measured in cycles per unit distance or radians per unit distance.
Principal Quantum Number of Lower Energy Level - Principal Quantum Number of Lower Energy Level is the lowest energy level occupied by the electron.
Principal Quantum Number of Upper Energy Level - Principal Quantum Number of Upper Energy Level is the higher energy level occupied by the electron.
STEP 1: Convert Input(s) to Base Unit
Principal Quantum Number of Lower Energy Level: 8 --> No Conversion Required
Principal Quantum Number of Upper Energy Level: 10 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ν'HA = [Rydberg]*(1/(n1^2))-(1/(n2^2)) --> [Rydberg]*(1/(8^2))-(1/(10^2))
Evaluating ... ...
ν'HA = 171464.54625
STEP 3: Convert Result to Output's Unit
171464.54625 Diopter -->171464.54625 1 per Meter (Check conversion ​here)
FINAL ANSWER
171464.54625 171464.5 1 per Meter <-- Wave Number of Particle for HA
(Calculation completed in 00.004 seconds)

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National University of Judicial Science (NUJS), Kolkata
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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 Line Spectrum of Hydrogen Formula

​LaTeX ​Go
Wave Number of Particle for HA = [Rydberg]*(1/(Principal Quantum Number of Lower Energy Level^2))-(1/(Principal Quantum Number of Upper Energy Level^2))
ν'HA = [Rydberg]*(1/(n1^2))-(1/(n2^2))

What is Hydrogen Spectral Series?

The emission spectrum of atomic hydrogen has been divided into a number of spectral series, with wavelengths given by the Rydberg formula. These observed spectral lines are due to the electron making transitions between two energy levels in an atom. The classification of the series by the Rydberg formula was important in the development of quantum mechanics. The spectral series are important in astronomical spectroscopy for detecting the presence of hydrogen and calculating red shifts.

How to Calculate Wave Number of Line Spectrum of Hydrogen?

Wave Number of Line Spectrum of Hydrogen calculator uses Wave Number of Particle for HA = [Rydberg]*(1/(Principal Quantum Number of Lower Energy Level^2))-(1/(Principal Quantum Number of Upper Energy Level^2)) to calculate the Wave Number of Particle for HA, The Wave Number of Line Spectrum of Hydrogen formula is defined as the emission spectrum of atomic hydrogen which has been divided into a number of spectral series, with wavelengths given by the Rydberg formula. These observed spectral lines are due to the electron making transitions between two energy levels in an atom. Wave Number of Particle for HA is denoted by ν'HA symbol.

How to calculate Wave Number of Line Spectrum of Hydrogen using this online calculator? To use this online calculator for Wave Number of Line Spectrum of Hydrogen, enter Principal Quantum Number of Lower Energy Level (n1) & Principal Quantum Number of Upper Energy Level (n2) and hit the calculate button. Here is how the Wave Number of Line Spectrum of Hydrogen calculation can be explained with given input values -> 171464.5 = [Rydberg]*(1/(8^2))-(1/(10^2)).

FAQ

What is Wave Number of Line Spectrum of Hydrogen?
The Wave Number of Line Spectrum of Hydrogen formula is defined as the emission spectrum of atomic hydrogen which has been divided into a number of spectral series, with wavelengths given by the Rydberg formula. These observed spectral lines are due to the electron making transitions between two energy levels in an atom and is represented as ν'HA = [Rydberg]*(1/(n1^2))-(1/(n2^2)) or Wave Number of Particle for HA = [Rydberg]*(1/(Principal Quantum Number of Lower Energy Level^2))-(1/(Principal Quantum Number of Upper Energy Level^2)). Principal Quantum Number of Lower Energy Level is the lowest energy level occupied by the electron & Principal Quantum Number of Upper Energy Level is the higher energy level occupied by the electron.
How to calculate Wave Number of Line Spectrum of Hydrogen?
The Wave Number of Line Spectrum of Hydrogen formula is defined as the emission spectrum of atomic hydrogen which has been divided into a number of spectral series, with wavelengths given by the Rydberg formula. These observed spectral lines are due to the electron making transitions between two energy levels in an atom is calculated using Wave Number of Particle for HA = [Rydberg]*(1/(Principal Quantum Number of Lower Energy Level^2))-(1/(Principal Quantum Number of Upper Energy Level^2)). To calculate Wave Number of Line Spectrum of Hydrogen, you need Principal Quantum Number of Lower Energy Level (n1) & Principal Quantum Number of Upper Energy Level (n2). With our tool, you need to enter the respective value for Principal Quantum Number of Lower Energy Level & Principal Quantum Number of Upper Energy Level and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Wave Number of Particle for HA?
In this formula, Wave Number of Particle for HA uses Principal Quantum Number of Lower Energy Level & Principal Quantum Number of Upper Energy Level. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Wave Number of Particle for HA = [Rydberg]*(Atomic Number^2)*(1/(Initial Orbit^2)-(1/(Final Orbit^2)))
  • Wave Number of Particle for HA = [Rydberg]*(1/(Initial Orbit^2)-(1/(Final Orbit^2)))
  • Wave Number of Particle for HA = [Rydberg]*(1/(1^2)-1/(Final Orbit^2))
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