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Arrangement of Electrons in the
           Atom




            Chapter 3
Location of the Electron
    The next question to be
 answered by atomic scientists
 concerned the location of the
          electrons!

Ernest Rutherford had a proposal
            for this!
Ernest Rutherford proposed that the electrons
could orbit the nucleus like the planets orbit the
sun.




• This explanation however defied the laws of
  physics
• Electrons revolving around the nucleus would
  lose energy and would spiral into the nucleus
Rutherford’s Explanation was obviously wrong and another
model of the arrangement of electrons had to be devised


It was a young Danish
Physicist called Niels
Bohr who provided an
insight into the
arrangement of
Electrons in the Atom
that helped to solve
the problem
Bohr’s Study of Spectra
• Bohr developed his
  theory about the
  arrangement of
  electrons in atoms by
  studying what were
  known as the Spectra of
  Elements
White Light
• White light when
  passed through a prism
  is broken up into an
  array of colours
• Such an array is called a
  spectrum
• Thus the spectrum is
  the spread of colours
  that come out of the
  prism
Continuous Spectrum
• This spread or array of
  colours is known as a
  continuous spectrum or
  rainbow
• Rainbows are formed
  when the water
  droplets in the sky act
  as prisms and separate
  the sunlight into its
  colours
But what happens if we use a type of light
that is not made from white light but only
                part of it?

• If a glass tube is filled
  with Hydrogen at low
  pressure and an electric
  current is passed
  through it, a spectrum
  is produced that is
  different to that given
  by white light
A Line Spectrum for Hydrogen

• Instead of seeing a Continuous spectrum of all
  the colours of the rainbow Bohr saw a series of
                    narrow lines
Line or Emission Spectrum
• Since it consists of lines it is called a Line Spectrum
  to distinguish it from a Continuous Spectrum ( or
  Rainbow) produced using white light.




• It is more accurately called an Emission Spectrum
  as it has been emitted when the electric current
  was passed through the hydrogen gas
Emission Spectra of Different Elements
• When the Hydrogen in
  the discharge tube was
  replaced by other
  elements like Sodium
  and Mercury it was
  found that these
  elements also produced
  spectra.
• Each of these spectra
  were unique to that
  element
Emission Spectra of Different Elements
Each Element has a unique Emission
              Spectrum
• This meant that             • Elements present in the
  examining the spectrum        sample of salt being
  produced from light           burnt could then be
  from a burning sample         identified by comparing
  of a salt should give you     them to known spectra
  a unique pattern of           stored on a computer
  lines                         database.
• This pattern could then
  be compared to known
  spectra
Spectra of most elements of the
             periodic table
• http://jersey.uoregon.edu/vlab/elements/Ele
  ments.html
To Study Emission Spectra using a
              Spectrometer
• Experiment 3.1
• Page 12
• Method A and Method B
• To be written up properly
  following guidelines as
  shown for homework
Flame Tests
      • Experiment 3.2 Page 13
      • When salts of certain
        metals are heated in a
        bunsen burner’s flame
        the colours obtained
        can be used to identify
        the metals in unknown
        compounds
Results for Flame Test
• Metal Present in the   Colour
  Salt being burnt
• Lithium                •   Crimson
• Potassium              •   Lilac
• Barium                 •   Green
• Strontium              •   Red
• Copper                 •   Blue-green
• Sodium                 •   Yellow
But what has the study of spectra
got to do with the structure of the
              atom?
Niels Bohr’s Insight
Bohr realised that any model of the Atom
  needed to explain two observations
1) Why the Emission Spectra of the Elements
   are Line Spectra rather than Continuous
   Spectra,
2) Why the Emission Spectrum of each element
   is unique to that element
Bohr’s Explanation for the Emission Line Spectrum of
                      Hydrogen

1) Electrons revolve around the nucleus in fixed paths called
   Orbits or Energy levels
2) Electrons in any one orbit have a fixed or quantised
   amount of energy
3) Electrons in an energy level do not gain or lose energy
4) When atoms absorb energy electrons jump from a lower
   energy level to a higher energy level
5) At these higher levels the electrons are less stable and do
   not remain there for long but fall back down
6) When an electron falls back to any energy level it loses
   energy in the form of light
These photons of light because they have a fixed amount of energy also
have a specific frequency and thus colour
Bohr represented each energy level by the letter n

He called the lowest energy level the n = 1 level

The next highest the n = 2 level

and so on….
Hydrogen’s electron is
normally found at the
n = 1 level

This electron is said to
be in the ground state
(or unexcited state)

When heated and
after absorbing energy
it jumps to a higher
level or is said to have
an excited state
After remaining a short time
  it drops down to a lower
  energy level emitting a
  definite amount of energy

This definite energy is equal
  to the difference between
  the two energy levels

This definite amount of energy appears as a line of a
particular colour in the emission spectrum

Each colour corresponds to a particular wavelength or
frequency of light
Spectra of most elements of the
             periodic table
• http://jersey.uoregon.edu/vlab/elements/Ele
  ments.html
The Types of Light or Energy Transitions (or Emission
Lines) produced ranged from Infra-Red to Visible to
Ultra-Violet Light




So some are visible and others are invisible.
A Mathematical relationship exists
    between the energy emitted and
        frequency of the light
                       E = hf
• E is the amount of energy emitted from the
  atom
• h is just a number called Planck’s constant
• f is the frequency or wavelength of the light
  emitted
[Shown as ∆E = hv in diagrams above where v = wavelength]
Each definite amount
  of energy emitted gives rise to a line in the
             emission spectrum

  This can be calculated from the equation
                 E2 - E1 = hf
   where E represents the n energy level

  Since only definite amounts of energy are
 emitted this implies that electrons can occupy
           only definite energy levels
Therefore energy levels must exist in the atom
Bohr’s Theory
• Bohr examined the spectrum of hydrogen and
  measured the wavelengths of the visible light
  seen through the spectroscope

• He compared these values to those calculated
  using his theory and found them to be an
  exact match
Electromagnetic Spectrum




He predicted the existence of other series
of lines in the ultra-violet and infra-red
regions of the spectrum both of which are
invisible
An Element’s Unique Emission
              Spectrum
• Bohr’s Theory also explained why each
  electron had its own unique emission
  spectrum.
• Since each element has its own particular
  number of electrons then there will be
  different numbers and types of transitions for
  each element, thus giving rise to a different
  emission line spectrum in each case.
Emission Series




Lymann    Invisible   - Ultra-violet
Balmer    Visible
Paschen   Invisible   - Infra-Red
Absorption Spectra
• There is another type of spectrum apart from the
  emission spectrum
• The Absorption spectrum is obtained when white light
  is passed through a gaseous sample of an element and
  analysed
• It is found that the light coming out has certain
  wavelengths missing or dark lines present
Natural Sunlight’s Absorption
          Spectrum
Emission vs. Absorption Spectra
Emission                    Absorption
• Produced when a hot gas   •Produced when white light is
  glows giving off light    shone through a tube of gas
                            which absorbs some of the
                            light
Emission vs. Absorption Spectrums
Emission Spectrum              Absorption Spectrum
• Consists of coloured lines   • Consists of dark lines
  against a dark background      against a coloured
                                 background


Atomic Absorption Spectrometry is therefore a very
useful analytical tool used by chemists to detect the
presence of certain elements and to measure the
concentrations of these elements
Energy Sub-levels
• As time went by the study of spectra became
  ever more sophisticated
• Scientists now found that many lines which
  appeared to be one were in fact made up
  several lines close together
• For example what appeared to be a single
  yellow line in Sodium’s emission spectrum was
  found in fact to consist of two yellow lines
  very close together
Sodium’s Spectrum
Full Spectrum showing a
single yellow line        Zooming in on the yellow line
Energy Sub-Levels
• These two lines could not be due to electrons
  dropping to two different energy levels as this
  would give rise to lines much further apart

• In order to explain this observation scientist
  proposed that -
  Each main energy level except the first was
  made up of a number of sublevels all of which
  were close in energy
Energy Sub-Levels
It was discovered that
the number of sub-
levels was the same as
the value of n for the
main energy level
So the n =2 main
energy level had 2
sub-levels
The n = 3 main energy
level had 3 sub-levels
And the n = 4 main
energy level had 4
sub-levels
S, p, d & f sub-levels
These sub-levels were
now labelled
The sub-level of
lowest energy being
called the s sub-level
The next highest
called the p sub-level
The one above that as
the d sub-level
And the one of highest
energy was called the
f sub-level
Wave Nature of the Electron
• Bohr’s Theory works very well for hydrogen
  but when his theory is applied to atoms with
  more than one electron, it fails to account or
  many of the lines in the emission spectra of
  these atoms
• So for other elements
Louis de Broglie
 In 1924 a French
Scientist called
Louis Le Broglie
suggested that all
moving particles
had a wave motion
associated with
them
This was called a
‘Wave Particle
Duality’
Wave-Particle Duality
Werner Heisenberg
If the electron has a
wave motion it clearly
is not travelling along
a precise path or
energy level predicted
by Bohr

A German Physicist
tackled this problem
mathematically and
put forward a very
famous principle
called Heisenberg
Uncertainty Principle
Heisenberg Uncertainty Principle
• “It is impossible to measure at the same
  time both the velocity and the position of
  the electron”
Improving Bohr’s Idea
• Bohr’s Model saw electrons moving with a
  certain speed in orbits at fixed distances from the
  nucleus.
• Heisenberg stated that you cannot say this about
  the electron as you cannot measure both the
  speed and the distance from the nucleus at the
  same time
• This led to scientists to change Bohr’s idea to the
  probability of finding an electron at a particular
  position inside the atom and a new picture of the
  atom
Atomic Orbitals
• Imagine taking hundreds of photos of an atom
  of hydrogen and its electron spinning around
  it and combining them all together. You would
  get a picture like the one shown below

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Chapter 3 Arrangement of Electrons in the Atom

  • 1. Arrangement of Electrons in the Atom Chapter 3
  • 2. Location of the Electron The next question to be answered by atomic scientists concerned the location of the electrons! Ernest Rutherford had a proposal for this!
  • 3. Ernest Rutherford proposed that the electrons could orbit the nucleus like the planets orbit the sun. • This explanation however defied the laws of physics • Electrons revolving around the nucleus would lose energy and would spiral into the nucleus
  • 4. Rutherford’s Explanation was obviously wrong and another model of the arrangement of electrons had to be devised It was a young Danish Physicist called Niels Bohr who provided an insight into the arrangement of Electrons in the Atom that helped to solve the problem
  • 5. Bohr’s Study of Spectra • Bohr developed his theory about the arrangement of electrons in atoms by studying what were known as the Spectra of Elements
  • 6. White Light • White light when passed through a prism is broken up into an array of colours • Such an array is called a spectrum • Thus the spectrum is the spread of colours that come out of the prism
  • 7. Continuous Spectrum • This spread or array of colours is known as a continuous spectrum or rainbow • Rainbows are formed when the water droplets in the sky act as prisms and separate the sunlight into its colours
  • 8. But what happens if we use a type of light that is not made from white light but only part of it? • If a glass tube is filled with Hydrogen at low pressure and an electric current is passed through it, a spectrum is produced that is different to that given by white light
  • 9. A Line Spectrum for Hydrogen • Instead of seeing a Continuous spectrum of all the colours of the rainbow Bohr saw a series of narrow lines
  • 10. Line or Emission Spectrum • Since it consists of lines it is called a Line Spectrum to distinguish it from a Continuous Spectrum ( or Rainbow) produced using white light. • It is more accurately called an Emission Spectrum as it has been emitted when the electric current was passed through the hydrogen gas
  • 11. Emission Spectra of Different Elements • When the Hydrogen in the discharge tube was replaced by other elements like Sodium and Mercury it was found that these elements also produced spectra. • Each of these spectra were unique to that element
  • 12. Emission Spectra of Different Elements
  • 13. Each Element has a unique Emission Spectrum • This meant that • Elements present in the examining the spectrum sample of salt being produced from light burnt could then be from a burning sample identified by comparing of a salt should give you them to known spectra a unique pattern of stored on a computer lines database. • This pattern could then be compared to known spectra
  • 14. Spectra of most elements of the periodic table • http://jersey.uoregon.edu/vlab/elements/Ele ments.html
  • 15. To Study Emission Spectra using a Spectrometer • Experiment 3.1 • Page 12 • Method A and Method B • To be written up properly following guidelines as shown for homework
  • 16. Flame Tests • Experiment 3.2 Page 13 • When salts of certain metals are heated in a bunsen burner’s flame the colours obtained can be used to identify the metals in unknown compounds
  • 17. Results for Flame Test • Metal Present in the Colour Salt being burnt • Lithium • Crimson • Potassium • Lilac • Barium • Green • Strontium • Red • Copper • Blue-green • Sodium • Yellow
  • 18.
  • 19. But what has the study of spectra got to do with the structure of the atom?
  • 20. Niels Bohr’s Insight Bohr realised that any model of the Atom needed to explain two observations 1) Why the Emission Spectra of the Elements are Line Spectra rather than Continuous Spectra, 2) Why the Emission Spectrum of each element is unique to that element
  • 21. Bohr’s Explanation for the Emission Line Spectrum of Hydrogen 1) Electrons revolve around the nucleus in fixed paths called Orbits or Energy levels 2) Electrons in any one orbit have a fixed or quantised amount of energy 3) Electrons in an energy level do not gain or lose energy 4) When atoms absorb energy electrons jump from a lower energy level to a higher energy level 5) At these higher levels the electrons are less stable and do not remain there for long but fall back down 6) When an electron falls back to any energy level it loses energy in the form of light
  • 22. These photons of light because they have a fixed amount of energy also have a specific frequency and thus colour
  • 23. Bohr represented each energy level by the letter n He called the lowest energy level the n = 1 level The next highest the n = 2 level and so on….
  • 24. Hydrogen’s electron is normally found at the n = 1 level This electron is said to be in the ground state (or unexcited state) When heated and after absorbing energy it jumps to a higher level or is said to have an excited state
  • 25. After remaining a short time it drops down to a lower energy level emitting a definite amount of energy This definite energy is equal to the difference between the two energy levels This definite amount of energy appears as a line of a particular colour in the emission spectrum Each colour corresponds to a particular wavelength or frequency of light
  • 26. Spectra of most elements of the periodic table • http://jersey.uoregon.edu/vlab/elements/Ele ments.html
  • 27. The Types of Light or Energy Transitions (or Emission Lines) produced ranged from Infra-Red to Visible to Ultra-Violet Light So some are visible and others are invisible.
  • 28. A Mathematical relationship exists between the energy emitted and frequency of the light E = hf • E is the amount of energy emitted from the atom • h is just a number called Planck’s constant • f is the frequency or wavelength of the light emitted [Shown as ∆E = hv in diagrams above where v = wavelength]
  • 29. Each definite amount of energy emitted gives rise to a line in the emission spectrum This can be calculated from the equation E2 - E1 = hf where E represents the n energy level Since only definite amounts of energy are emitted this implies that electrons can occupy only definite energy levels Therefore energy levels must exist in the atom
  • 30. Bohr’s Theory • Bohr examined the spectrum of hydrogen and measured the wavelengths of the visible light seen through the spectroscope • He compared these values to those calculated using his theory and found them to be an exact match
  • 31. Electromagnetic Spectrum He predicted the existence of other series of lines in the ultra-violet and infra-red regions of the spectrum both of which are invisible
  • 32. An Element’s Unique Emission Spectrum • Bohr’s Theory also explained why each electron had its own unique emission spectrum. • Since each element has its own particular number of electrons then there will be different numbers and types of transitions for each element, thus giving rise to a different emission line spectrum in each case.
  • 33. Emission Series Lymann Invisible - Ultra-violet Balmer Visible Paschen Invisible - Infra-Red
  • 34. Absorption Spectra • There is another type of spectrum apart from the emission spectrum • The Absorption spectrum is obtained when white light is passed through a gaseous sample of an element and analysed • It is found that the light coming out has certain wavelengths missing or dark lines present
  • 36. Emission vs. Absorption Spectra Emission Absorption • Produced when a hot gas •Produced when white light is glows giving off light shone through a tube of gas which absorbs some of the light
  • 37. Emission vs. Absorption Spectrums Emission Spectrum Absorption Spectrum • Consists of coloured lines • Consists of dark lines against a dark background against a coloured background Atomic Absorption Spectrometry is therefore a very useful analytical tool used by chemists to detect the presence of certain elements and to measure the concentrations of these elements
  • 38. Energy Sub-levels • As time went by the study of spectra became ever more sophisticated • Scientists now found that many lines which appeared to be one were in fact made up several lines close together • For example what appeared to be a single yellow line in Sodium’s emission spectrum was found in fact to consist of two yellow lines very close together
  • 39. Sodium’s Spectrum Full Spectrum showing a single yellow line Zooming in on the yellow line
  • 40. Energy Sub-Levels • These two lines could not be due to electrons dropping to two different energy levels as this would give rise to lines much further apart • In order to explain this observation scientist proposed that - Each main energy level except the first was made up of a number of sublevels all of which were close in energy
  • 41. Energy Sub-Levels It was discovered that the number of sub- levels was the same as the value of n for the main energy level So the n =2 main energy level had 2 sub-levels The n = 3 main energy level had 3 sub-levels And the n = 4 main energy level had 4 sub-levels
  • 42. S, p, d & f sub-levels These sub-levels were now labelled The sub-level of lowest energy being called the s sub-level The next highest called the p sub-level The one above that as the d sub-level And the one of highest energy was called the f sub-level
  • 43. Wave Nature of the Electron • Bohr’s Theory works very well for hydrogen but when his theory is applied to atoms with more than one electron, it fails to account or many of the lines in the emission spectra of these atoms • So for other elements
  • 44. Louis de Broglie In 1924 a French Scientist called Louis Le Broglie suggested that all moving particles had a wave motion associated with them This was called a ‘Wave Particle Duality’
  • 46. Werner Heisenberg If the electron has a wave motion it clearly is not travelling along a precise path or energy level predicted by Bohr A German Physicist tackled this problem mathematically and put forward a very famous principle called Heisenberg Uncertainty Principle
  • 47. Heisenberg Uncertainty Principle • “It is impossible to measure at the same time both the velocity and the position of the electron”
  • 48. Improving Bohr’s Idea • Bohr’s Model saw electrons moving with a certain speed in orbits at fixed distances from the nucleus. • Heisenberg stated that you cannot say this about the electron as you cannot measure both the speed and the distance from the nucleus at the same time • This led to scientists to change Bohr’s idea to the probability of finding an electron at a particular position inside the atom and a new picture of the atom
  • 49. Atomic Orbitals • Imagine taking hundreds of photos of an atom of hydrogen and its electron spinning around it and combining them all together. You would get a picture like the one shown below