Wavelength of all Spectral Lines Calculator

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Bohr's Atomic Model

Compton Effect

De Broglie Hypothesis

Distance of Closest Approach

Heisenberg's Uncertainty Principle

Important Formulas on Bohr's Atomic Model

Photo Electric Effect

Planck Quantum Theory

Rutherford Scattering

Schrodinger Wave Equation

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Radius of Bohr's Orbit

✖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%
✖Atomic Number is the number of protons present inside the nucleus of an atom of an element.ⓘ Atomic Number [Z]			+10% -10%

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

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Formula

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Wavelength of all Spectral Lines

Formula

`"ν'"_{"HA"} = (("n"_{"initial"}^2)*("n"_{"final"}^2))/("[R]"*("Z"^2)*(("n"_{"final"}^2)-("n"_{"initial"}^2)))`

Example

`"0.004588/m"=((("3")^2)*(("7")^2))/("[R]"*(("17")^2)*((("7")^2)-(("3")^2)))`

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Wavelength of all Spectral Lines Solution

STEP 0: Pre-Calculation Summary

Formula Used

Wave Number of Particle for HA = ((Initial Orbit^2)*(Final Orbit^2))/([R]*(Atomic Number^2)*((Final Orbit^2)-(Initial Orbit^2)))
ν'_HA = ((n_initial^2)*(n_final^2))/([R]*(Z^2)*((n_final^2)-(n_initial^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 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.
Atomic Number - Atomic Number is the number of protons present inside the nucleus of an atom of an element.

STEP 1: Convert Input(s) to Base Unit

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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

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

Evaluating ... ...

ν'_HA = 0.00458824468631853

STEP 3: Convert Result to Output's Unit

0.00458824468631853 Diopter -->0.00458824468631853 1 per Meter (Check conversion here)

FINAL ANSWER

0.00458824468631853 ≈ 0.004588 1 per Meter <-- Wave Number of Particle for HA

(Calculation completed in 00.004 seconds)

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Home » Chemistry » Atomic structure » Bohr's Atomic Model » Hydrogen Spectrum » Wavelength of all Spectral Lines

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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

Wavelength of all Spectral Lines Formula

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 Wavelength of all Spectral Lines?

Wavelength of all Spectral Lines calculator uses Wave Number of Particle for HA = ((Initial Orbit^2)*(Final Orbit^2))/([R]*(Atomic Number^2)*((Final Orbit^2)-(Initial Orbit^2))) to calculate the Wave Number of Particle for HA, The Wavelength of all spectral lines is the wavelength of all the spectral or energy lines or levels in all the series. Wave Number of Particle for HA is denoted by ν'_HA symbol.

How to calculate Wavelength of all Spectral Lines using this online calculator? To use this online calculator for Wavelength of all Spectral Lines, enter Initial Orbit (n_initial), Final Orbit (n_final) & Atomic Number (Z) and hit the calculate button. Here is how the Wavelength of all Spectral Lines calculation can be explained with given input values -> 0.004588 = ((3^2)*(7^2))/([R]*(17^2)*((7^2)-(3^2))).

FAQ

What is Wavelength of all Spectral Lines?

The Wavelength of all spectral lines is the wavelength of all the spectral or energy lines or levels in all the series and is represented as ν'_HA = ((n_initial^2)*(n_final^2))/([R]*(Z^2)*((n_final^2)-(n_initial^2))) or Wave Number of Particle for HA = ((Initial Orbit^2)*(Final Orbit^2))/([R]*(Atomic Number^2)*((Final Orbit^2)-(Initial 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 & Atomic Number is the number of protons present inside the nucleus of an atom of an element.

How to calculate Wavelength of all Spectral Lines?

The Wavelength of all spectral lines is the wavelength of all the spectral or energy lines or levels in all the series is calculated using Wave Number of Particle for HA = ((Initial Orbit^2)*(Final Orbit^2))/([R]*(Atomic Number^2)*((Final Orbit^2)-(Initial Orbit^2))). To calculate Wavelength of all Spectral Lines, you need Initial Orbit (n_initial), Final Orbit (n_final) & Atomic Number (Z). With our tool, you need to enter the respective value for Initial Orbit, Final Orbit & Atomic Number 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 & Atomic Number. 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 = ([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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