Rydberg's Equation for Balmer Series Solution

STEP 0: Pre-Calculation Summary
Formula Used
Wave Number of Particle for HA = [Rydberg]*(1/(2^2)-(1/(Final Orbit^2)))
ν'HA = [Rydberg]*(1/(2^2)-(1/(nfinal^2)))
This formula uses 1 Constants, 2 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.
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
Final Orbit: 7 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ν'HA = [Rydberg]*(1/(2^2)-(1/(nfinal^2))) --> [Rydberg]*(1/(2^2)-(1/(7^2)))
Evaluating ... ...
ν'HA = 2519479.19387755
STEP 3: Convert Result to Output's Unit
2519479.19387755 Diopter -->2519479.19387755 1 per Meter (Check conversion here)
FINAL ANSWER
2519479.19387755 2.5E+6 1 per Meter <-- Wave Number of Particle for HA
(Calculation completed in 00.004 seconds)

Credits

Created by Akshada Kulkarni
National Institute of Information Technology (NIIT), Neemrana
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Indian Institute of Technology (IIT), Kanpur
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21 Hydrogen Spectrum Calculators

Wavelength of all Spectral Lines
Go Wave Number of Particle for HA = ((Initial Orbit^2)*(Final Orbit^2))/([R]*(Atomic Number^2)*((Final Orbit^2)-(Initial Orbit^2)))
Wave Number associated with Photon
Go Wave Number of Particle for HA = ([R]/([hP]*[c]))*(1/(Initial Orbit^2)-(1/(Final Orbit^2)))
Wave Number of Line Spectrum of Hydrogen
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))
Rydberg's Equation
Go Wave Number of Particle for HA = [Rydberg]*(Atomic Number^2)*(1/(Initial Orbit^2)-(1/(Final Orbit^2)))
Wave Number of Spectral Lines
Go Wave Number of Particle = ([R]*(Atomic Number^2))*(1/(Initial Orbit^2)-(1/(Final Orbit^2)))
Rydberg's Equation for hydrogen
Go Wave Number of Particle for HA = [Rydberg]*(1/(Initial Orbit^2)-(1/(Final Orbit^2)))
Ionization Potential
Go Ionization Potential for HA = ([Rydberg]*(Atomic Number^2))/(Quantum Number^2)
No. of Photons Emitted by Sample of H atom
Go Number of Photons Emitted by Sample of H Atom = (Change in Transition State*(Change in Transition State+1))/2
Frequency of Photon given Energy Levels
Go Frequency for HA = [R]*(1/(Initial Orbit^2)-(1/(Final Orbit^2)))
Rydberg's Equation for Balmer Series
Go Wave Number of Particle for HA = [Rydberg]*(1/(2^2)-(1/(Final Orbit^2)))
Energy Gap given Energy of Two Levels
Go Energy Gap between Orbits = Energy in Final Orbit-Energy in Initial Orbit
Rydberg's Equation for Brackett Series
Go Wave Number of Particle for HA = [Rydberg]*(1/(4^2)-1/(Final Orbit^2))
Rydberg's Equation for Paschen Series
Go Wave Number of Particle for HA = [Rydberg]*(1/(3^2)-1/(Final Orbit^2))
Rydberg's Equation for Lyman series
Go Wave Number of Particle for HA = [Rydberg]*(1/(1^2)-1/(Final Orbit^2))
Rydberg's Equation for Pfund Series
Go Wave Number of Particle for HA = [Rydberg]*(1/(5^2)-1/(Final Orbit^2))
Difference in Energy between Energy State
Go Difference in Energy for HA = Frequency of Radiation Absorbed*[hP]
Number of Spectral Lines
Go Number of Spectral Lines = (Quantum Number*(Quantum Number-1))/2
Frequency associated with Photon
Go Frequency of Photon for HA = Energy Gap between Orbits/[hP]
Energy of Stationary State of Hydrogen
Go Total Energy of Atom = -([Rydberg])*(1/(Quantum Number^2))
Frequency of Radiation Absorbed or Emitted during Transition
Go Frequency of Photon for HA = Difference in Energy/[hP]
Radial Nodes in Atomic Structure
Go Radial Node = Quantum Number-Azimuthal Quantum Number-1

Rydberg's Equation for Balmer Series Formula

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

What is Rydberg's Equation?

When an electron transfers from one atomic orbital to another, its energy changes. When an electron shift from an orbital with high energy to a lower energy state, a photon of light is generated. A photon of light gets absorbed by the atom when the electron moves from low energy to a higher energy state. The Rydberg Formula is applicable to the spectra of the different elements. For the Balmer series, n1=2.

How to Calculate Rydberg's Equation for Balmer Series?

Rydberg's Equation for Balmer Series calculator uses Wave Number of Particle for HA = [Rydberg]*(1/(2^2)-(1/(Final Orbit^2))) to calculate the Wave Number of Particle for HA, The Rydberg's Equation for Balmer Series is used to determine the wavelength of light emitted by an electron moving between the energy levels of an atom where the energy level is 2. Wave Number of Particle for HA is denoted by ν'HA symbol.

How to calculate Rydberg's Equation for Balmer Series using this online calculator? To use this online calculator for Rydberg's Equation for Balmer Series, enter Final Orbit (nfinal) and hit the calculate button. Here is how the Rydberg's Equation for Balmer Series calculation can be explained with given input values -> 2.5E+6 = [Rydberg]*(1/(2^2)-(1/(7^2))).

FAQ

What is Rydberg's Equation for Balmer Series?
The Rydberg's Equation for Balmer Series is used to determine the wavelength of light emitted by an electron moving between the energy levels of an atom where the energy level is 2 and is represented as ν'HA = [Rydberg]*(1/(2^2)-(1/(nfinal^2))) or Wave Number of Particle for HA = [Rydberg]*(1/(2^2)-(1/(Final Orbit^2))). Final Orbit is a number that is related to the principal quantum number or energy quantum number.
How to calculate Rydberg's Equation for Balmer Series?
The Rydberg's Equation for Balmer Series is used to determine the wavelength of light emitted by an electron moving between the energy levels of an atom where the energy level is 2 is calculated using Wave Number of Particle for HA = [Rydberg]*(1/(2^2)-(1/(Final Orbit^2))). To calculate Rydberg's Equation for Balmer Series, you need Final Orbit (nfinal). With our tool, you need to enter the respective value for Final Orbit 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 Final Orbit. We can use 9 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))
  • Wave Number of Particle for HA = [Rydberg]*(1/(3^2)-1/(Final Orbit^2))
  • Wave Number of Particle for HA = [Rydberg]*(1/(4^2)-1/(Final Orbit^2))
  • Wave Number of Particle for HA = [Rydberg]*(1/(5^2)-1/(Final Orbit^2))
  • Wave Number of Particle for HA = ((Initial Orbit^2)*(Final Orbit^2))/([R]*(Atomic Number^2)*((Final Orbit^2)-(Initial Orbit^2)))
  • Wave Number of Particle for HA = ([R]/([hP]*[c]))*(1/(Initial Orbit^2)-(1/(Final Orbit^2)))
  • 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))
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