Wave Number associated with Photon Solution

STEP 0: Pre-Calculation Summary
Formula Used
Wave Number of Particle for HA = ([R]/([hP]*[c]))*(1/(Initial Orbit^2)-(1/(Final Orbit^2)))
ν'HA = ([R]/([hP]*[c]))*(1/(ninitial^2)-(1/(nfinal^2)))
This formula uses 3 Constants, 3 Variables
Constants Used
[hP] - Planck constant Value Taken As 6.626070040E-34
[c] - Light speed in vacuum Value Taken As 299792458.0
[R] - Universal gas constant Value Taken As 8.31446261815324
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.
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
Initial Orbit: 3 --> No Conversion Required
Final Orbit: 7 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ν'HA = ([R]/([hP]*[c]))*(1/(ninitial^2)-(1/(nfinal^2))) --> ([R]/([hP]*[c]))*(1/(3^2)-(1/(7^2)))
Evaluating ... ...
ν'HA = 3.79646029125756E+24
STEP 3: Convert Result to Output's Unit
3.79646029125756E+24 Diopter -->3.79646029125756E+24 1 per Meter (Check conversion here)
FINAL ANSWER
3.79646029125756E+24 3.8E+24 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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Verified by Suman Ray Pramanik
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

Wave Number associated with Photon Formula

Wave Number of Particle for HA = ([R]/([hP]*[c]))*(1/(Initial Orbit^2)-(1/(Final Orbit^2)))
ν'HA = ([R]/([hP]*[c]))*(1/(ninitial^2)-(1/(nfinal^2)))

What is 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 associated with Photon?

Wave Number associated with Photon calculator uses Wave Number of Particle for HA = ([R]/([hP]*[c]))*(1/(Initial Orbit^2)-(1/(Final Orbit^2))) to calculate the Wave Number of Particle for HA, The Wave Number associated with Photon is the formula for correlating the wavenumber of the spectral lines emitted and the energy shells involved. Wave Number of Particle for HA is denoted by ν'HA symbol.

How to calculate Wave Number associated with Photon using this online calculator? To use this online calculator for Wave Number associated with Photon, enter Initial Orbit (ninitial) & Final Orbit (nfinal) and hit the calculate button. Here is how the Wave Number associated with Photon calculation can be explained with given input values -> 3.8E+24 = ([R]/([hP]*[c]))*(1/(3^2)-(1/(7^2))).

FAQ

What is Wave Number associated with Photon?
The Wave Number associated with Photon is the formula for correlating the wavenumber of the spectral lines emitted and the energy shells involved and is represented as ν'HA = ([R]/([hP]*[c]))*(1/(ninitial^2)-(1/(nfinal^2))) or Wave Number of Particle for HA = ([R]/([hP]*[c]))*(1/(Initial Orbit^2)-(1/(Final Orbit^2))). 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 associated with Photon?
The Wave Number associated with Photon is the formula for correlating the wavenumber of the spectral lines emitted and the energy shells involved is calculated using Wave Number of Particle for HA = ([R]/([hP]*[c]))*(1/(Initial Orbit^2)-(1/(Final Orbit^2))). To calculate Wave Number associated with Photon, you need Initial Orbit (ninitial) & Final Orbit (nfinal). With our tool, you need to enter the respective value for 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.
How many ways are there to calculate Wave Number of Particle for HA?
In this formula, Wave Number of Particle for HA uses Initial Orbit & 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/(2^2)-(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 = [Rydberg]*(1/(Principal Quantum Number of Lower Energy Level^2))-(1/(Principal Quantum Number of Upper Energy Level^2))
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