Number of Spectral Lines Calculator

✖The Number of Spectral Lines produces an absorption spectrum, which has dark lines in the same position as the bright lines in the emission spectrum of an element.ⓘ Number of Spectral Lines [n_s]

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Formula

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Number of Spectral Lines

Formula

`"n"_{"s"} = ("n"_{"quantum"}*("n"_{"quantum"}-1))/2`

Example

`"28"=("8"*("8"-1))/2`

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Number of Spectral Lines Solution

STEP 0: Pre-Calculation Summary

Formula Used

Number of Spectral Lines = (Quantum Number*(Quantum Number-1))/2
n_s = (n_quantum*(n_quantum-1))/2
This formula uses 2 Variables

Variables Used

Number of Spectral Lines - The Number of Spectral Lines produces an absorption spectrum, which has dark lines in the same position as the bright lines in the emission spectrum of an element.
Quantum Number - Quantum Number describe values of conserved quantities in the dynamics of a quantum system.

STEP 1: Convert Input(s) to Base Unit

Quantum Number: 8 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

n_s = (n_quantum*(n_quantum-1))/2 --> (8*(8-1))/2

Evaluating ... ...

n_s = 28

STEP 3: Convert Result to Output's Unit

28 --> No Conversion Required

FINAL ANSWER

28 <-- Number of Spectral Lines

(Calculation completed in 00.004 seconds)

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

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Created by Anirudh Singh

National Institute of Technology (NIT), Jamshedpur

Anirudh Singh has created this Calculator and 300+ more calculators!

Verified by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

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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

Number of Spectral Lines Formula

Number of Spectral Lines = (Quantum Number*(Quantum Number-1))/2
n_s = (n_quantum*(n_quantum-1))/2

What is Bohr's model?

Bohr model or Rutherford–Bohr model, presented by Niels Bohr and Ernest Rutherford in 1913, is a system consisting of a small, dense nucleus surrounded by orbiting electrons.

How to Calculate Number of Spectral Lines?

Number of Spectral Lines calculator uses Number of Spectral Lines = (Quantum Number*(Quantum Number-1))/2 to calculate the Number of Spectral Lines, The Number Of Spectral Lines formula is defined as produces an absorption spectrum, which has dark lines in the same position as the bright lines in the emission spectrum of an element. Number of Spectral Lines is denoted by n_s symbol.

How to calculate Number of Spectral Lines using this online calculator? To use this online calculator for Number of Spectral Lines, enter Quantum Number (n_quantum) and hit the calculate button. Here is how the Number of Spectral Lines calculation can be explained with given input values -> 28 = (8*(8-1))/2.

FAQ

What is Number of Spectral Lines?

The Number Of Spectral Lines formula is defined as produces an absorption spectrum, which has dark lines in the same position as the bright lines in the emission spectrum of an element and is represented as n_s = (n_quantum*(n_quantum-1))/2 or Number of Spectral Lines = (Quantum Number*(Quantum Number-1))/2. Quantum Number describe values of conserved quantities in the dynamics of a quantum system.

How to calculate Number of Spectral Lines?

The Number Of Spectral Lines formula is defined as produces an absorption spectrum, which has dark lines in the same position as the bright lines in the emission spectrum of an element is calculated using Number of Spectral Lines = (Quantum Number*(Quantum Number-1))/2. To calculate Number of Spectral Lines, you need Quantum Number (n_quantum). With our tool, you need to enter the respective value for Quantum Number 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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