Hydrogen Spectrum
Chapter # 2
ATOMIC STRUCTURE
Prepared By: Sidra Javed
Spectrum
White light is made up of all
the colors of the visible
spectrum.
Passing it through a
prism separates it.
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If the Light is not white
By heating a gas or with
electricity we can get it to
give off colors.
Passing this light through a
prism does something
different.
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Hydrogen
Gas
Prism
White Light
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Atomic Spectrum – Finger
Prints of an Atom
Each element gives
off its own
characteristic
colors.
Can be used to
identify the atom.
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Atomic Spectrum – Finger
Prints of an Atom
These are called
line emission
spectra
The light is emitted
given off
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Hydrogen Spectral Lines
Bohr calculated the energy, frequency and wave
number of the spectral emission lines for
hydrogen atom.
The wave number of different spectral lines can
be calculated corresponding the values of n1
and n2.
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Bohr’s Explanation for
Hydrogen Spectrum
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When current is passed through Hydrogen gas in
the discharge tube at low pressure, the
molecules of Hydrogen break in to atoms.
These atoms absorbs energy from electric spark.
Electrical Discharge
H2
(gas)
2 H
(atoms)Low Pressure
e
Ground State
(Low Energy)
Excited State
(High Energy)
Energy In
The electrons of
Hydrogen atoms are
excited to high energy
levels.
The higher energy
orbits to which electron
migrate depend upon
the amount of energy
absorbed by the
electron.
e
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e
Ground State
(Low Energy)
Excited State
(High Energy)
Photon
out
These excited electrons
being unstable come back
to one of the lower energy
level.
The electron may come to
the lowest energy levels.
In this way they emit
energy they had absorbed.
Photon
out
e
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Prepared By: Sidra Javed
Wave number of spectral
lines
Different spectral series are produced
depending upon the excited and ground
energy level of electron.
Wave number of these spectral lines can be
calculated by Bohr’s equation.
Prepared By: Sidra Javed
Prepared By: Sidra Javed
Lymen Series
The spectral lines in Lymen Series are explained
by considering that the electron falls back to
n=1 from higher levels
,...4,3,2
where,
1
1
1
1009678.1
2
2
2
2
7










n
n

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Lymen Series
(Ultra-violet Region)
n=7
n=5
n=6
n=4
n=3
n=2
n=1
n=∞
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15
22
7
_
21
1026.82
2
1
1
1
1009678.1
2,1:First Line









m
nn

15
22
7
_
21
1060.97
3
1
1
1
1009678.1
3,1:LineSecond









m
nn

15
22
7
_
21
1070.102
4
1
1
1
1009678.1
4,1:LineThird









m
nn

17
22
7
_
21
1009678.1
1
1
1
1009678.1
,1:LineLimiting










m
nn

Balmer Series
In this series the electrons falls back to n=2
,...6,5,4,3
where,
1
2
1
1009678.1
2
2
2
2
7








n
n

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Balmer Series
(Visible Region)
n=7
n=5
n=6
n=4
n=3
n=2
n=1
n=∞
Hα
Hβ
Hγ
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 
15
22
7
_
21
10234.15
3
1
2
1
1009678.1
3,2:LineHFirst Line









m
nn


15
22
7
_
21
10566.20
4
1
2
1
1009678.1
4,2:Line)(HLineSecond









m
nn


15
22
7
_
21
1005.23
5
1
2
1
1009678.1
5,2:Line)(HLineThird









m
nn


15
22
7
_
21
10421.27
1
2
1
1009678.1
,2:LineLimiting










m
nn

Paschen Series
In this series the electrons falls back to n=3
,...7,6,5,4
where,
1
3
1
1009678.1
2
2
2
2
7








n
n

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Paschen Series
(Infra Red Region)
n=7
n=5
n=6
n=4
n=3
n=2
n=1
n=∞
Prepared By: Sidra Javed
15
22
7
_
21
103310.5
4
1
3
1
1009678.1
4,3:First Line









m
nn

15
22
7
_
21
1099.7
5
1
3
1
1009678.1
5,3:LineSecond









m
nn

15
22
7
_
21
10187.12
1
3
1
1009678.1
,3:LineLimiting










m
nn

Brackett Series
In this series the electrons falls back to n=4
,...7,6,5
where,
1
4
1
1009678.1
2
2
2
2
7








n
n

Prepared By: Sidra Javed
Brackett Series
n=7
n=5
n=6
n=4
n=3
n=2
n=1
n=∞
Prepared By: Sidra Javed
15
22
7
_
21
1045.2
5
1
4
1
1009678.1
5,4:First Line









m
nn

15
22
7
_
21
10808.3
6
1
4
1
1009678.1
6,4:LineSecond









m
nn

15
22
7
_
21
10855.6
1
4
1
1009678.1
,4:LineLimiting










m
nn

Pfund Series
In this series the electrons falls back to n=5
,...7,6
where,
1
5
1
1009678.1
2
2
2
2
7








n
n

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Pfund Series
n=7
n=5
n=6
n=4
n=3
n=2
n=1
n=∞
Prepared By: Sidra Javed
15
22
7
_
21
10340.1
6
1
5
1
1009678.1
6,5:First Line









m
nn

15
22
7
_
21
10148.2
7
1
5
1
1009678.1
7,5:LineSecond









m
nn

15
22
7
_
21
10387.4
1
5
1
1009678.1
,5:LineLimiting










m
nn

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The End
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Hydrogen spectrum

  • 1.
    Hydrogen Spectrum Chapter #2 ATOMIC STRUCTURE Prepared By: Sidra Javed
  • 2.
    Spectrum White light ismade up of all the colors of the visible spectrum. Passing it through a prism separates it. Prepared By: Sidra Javed
  • 3.
    If the Lightis not white By heating a gas or with electricity we can get it to give off colors. Passing this light through a prism does something different. Prepared By: Sidra Javed
  • 4.
  • 5.
    Atomic Spectrum –Finger Prints of an Atom Each element gives off its own characteristic colors. Can be used to identify the atom. Prepared By: Sidra Javed
  • 6.
    Atomic Spectrum –Finger Prints of an Atom These are called line emission spectra The light is emitted given off Prepared By: Sidra Javed
  • 7.
    Hydrogen Spectral Lines Bohrcalculated the energy, frequency and wave number of the spectral emission lines for hydrogen atom. The wave number of different spectral lines can be calculated corresponding the values of n1 and n2. Prepared By: Sidra Javed
  • 8.
    Bohr’s Explanation for HydrogenSpectrum Prepared By: Sidra Javed When current is passed through Hydrogen gas in the discharge tube at low pressure, the molecules of Hydrogen break in to atoms. These atoms absorbs energy from electric spark. Electrical Discharge H2 (gas) 2 H (atoms)Low Pressure
  • 9.
    e Ground State (Low Energy) ExcitedState (High Energy) Energy In The electrons of Hydrogen atoms are excited to high energy levels. The higher energy orbits to which electron migrate depend upon the amount of energy absorbed by the electron. e Prepared By: Sidra Javed
  • 10.
    e Ground State (Low Energy) ExcitedState (High Energy) Photon out These excited electrons being unstable come back to one of the lower energy level. The electron may come to the lowest energy levels. In this way they emit energy they had absorbed. Photon out e Prepared By: Sidra Javed
  • 11.
  • 12.
    Wave number ofspectral lines Different spectral series are produced depending upon the excited and ground energy level of electron. Wave number of these spectral lines can be calculated by Bohr’s equation. Prepared By: Sidra Javed
  • 13.
  • 14.
    Lymen Series The spectrallines in Lymen Series are explained by considering that the electron falls back to n=1 from higher levels ,...4,3,2 where, 1 1 1 1009678.1 2 2 2 2 7           n n  Prepared By: Sidra Javed
  • 15.
    Lymen Series (Ultra-violet Region) n=7 n=5 n=6 n=4 n=3 n=2 n=1 n=∞ PreparedBy: Sidra Javed 15 22 7 _ 21 1026.82 2 1 1 1 1009678.1 2,1:First Line          m nn  15 22 7 _ 21 1060.97 3 1 1 1 1009678.1 3,1:LineSecond          m nn  15 22 7 _ 21 1070.102 4 1 1 1 1009678.1 4,1:LineThird          m nn  17 22 7 _ 21 1009678.1 1 1 1 1009678.1 ,1:LineLimiting           m nn 
  • 16.
    Balmer Series In thisseries the electrons falls back to n=2 ,...6,5,4,3 where, 1 2 1 1009678.1 2 2 2 2 7         n n  Prepared By: Sidra Javed
  • 17.
    Balmer Series (Visible Region) n=7 n=5 n=6 n=4 n=3 n=2 n=1 n=∞ Hα Hβ Hγ PreparedBy: Sidra Javed   15 22 7 _ 21 10234.15 3 1 2 1 1009678.1 3,2:LineHFirst Line          m nn   15 22 7 _ 21 10566.20 4 1 2 1 1009678.1 4,2:Line)(HLineSecond          m nn   15 22 7 _ 21 1005.23 5 1 2 1 1009678.1 5,2:Line)(HLineThird          m nn   15 22 7 _ 21 10421.27 1 2 1 1009678.1 ,2:LineLimiting           m nn 
  • 18.
    Paschen Series In thisseries the electrons falls back to n=3 ,...7,6,5,4 where, 1 3 1 1009678.1 2 2 2 2 7         n n  Prepared By: Sidra Javed
  • 19.
    Paschen Series (Infra RedRegion) n=7 n=5 n=6 n=4 n=3 n=2 n=1 n=∞ Prepared By: Sidra Javed 15 22 7 _ 21 103310.5 4 1 3 1 1009678.1 4,3:First Line          m nn  15 22 7 _ 21 1099.7 5 1 3 1 1009678.1 5,3:LineSecond          m nn  15 22 7 _ 21 10187.12 1 3 1 1009678.1 ,3:LineLimiting           m nn 
  • 20.
    Brackett Series In thisseries the electrons falls back to n=4 ,...7,6,5 where, 1 4 1 1009678.1 2 2 2 2 7         n n  Prepared By: Sidra Javed
  • 21.
    Brackett Series n=7 n=5 n=6 n=4 n=3 n=2 n=1 n=∞ Prepared By:Sidra Javed 15 22 7 _ 21 1045.2 5 1 4 1 1009678.1 5,4:First Line          m nn  15 22 7 _ 21 10808.3 6 1 4 1 1009678.1 6,4:LineSecond          m nn  15 22 7 _ 21 10855.6 1 4 1 1009678.1 ,4:LineLimiting           m nn 
  • 22.
    Pfund Series In thisseries the electrons falls back to n=5 ,...7,6 where, 1 5 1 1009678.1 2 2 2 2 7         n n  Prepared By: Sidra Javed
  • 23.
    Pfund Series n=7 n=5 n=6 n=4 n=3 n=2 n=1 n=∞ Prepared By:Sidra Javed 15 22 7 _ 21 10340.1 6 1 5 1 1009678.1 6,5:First Line          m nn  15 22 7 _ 21 10148.2 7 1 5 1 1009678.1 7,5:LineSecond          m nn  15 22 7 _ 21 10387.4 1 5 1 1009678.1 ,5:LineLimiting           m nn 
  • 24.
  • 25.