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Radioactivity
Discovery of Radioactivity
• Henri Bequerel (1852-1908)
• During his studies of phosphorescence (1896),
  found a mineral (uranium) would darken a
  photographic plate even if the plate was wrapped.
• Found that this mineral emitted a new kind of
  radiation (X-rays needed an external stimulus)
• Named radioactivity
Discovery of Radioactivity
• Marie (1867-1934) and Pierre (1859-1906) Curie
  isolated two previously unknown radioactive
  materials, polonium and radium
• Radioactivity was found to be unaffected by
  chemical and physical testing, showing that the
  radiation came from the atom itself – specifically
  from the disintegration or decay of an unstable
  nucleus
Discovery of Radioactivity
• 1898 – Ernest Rutherford began studying the
  nature of the rays that were emitted
• Classified into three distinct types according to
  their penetrating power.
• Alpha decay (α) – positively charged;can barely
  penetrate a piece of paper
• Beta Decay (β) – negatively charged; pass
  through as much as 3mm of aluminium
• Gamma Decay (γ) – neutral; Extremely
  penetrating
Types of Radiation
• Alpha Rays (or Alpha particles) = nuclei of
  Helium atoms (2 protons, 2 neutrons)
• Beta Rays = electrons (created within the
  nucleus)
• Gamma Rays = high-energy photons
  (packets of energy)
Alpha Decay
• The loss of 2 neutrons and 2 protons (the
  Helium nucleus) changes the atom.
         226
          88   Ra → Rn + He
                      222
                       86
                                 4
                                 2

 A Radium-226 atom decays into a Radon-222 atom and
 a Helium nucleus
Alpha Decay
Alpha Decay
Alpha Decay
Transmutation is the changing of one element into
another.

  226
   88   Ra → Rn + He   222
                        86
                                         4
                                         2

    Parent              Daughter
    nucleus             nucleus
Alpha Decay
• Occurs because the strong nuclear force is unable
  to hold very large nuclei together.
• The electrical repulsion between the protons of
  the nucleus pushes apart and can act over much
  larger distance then the strong nuclear force.
• Since the strong nuclear force can only act on
  particles directly beside each other, the electrical
  repulsion overpowers the string nuclear force and
  pushes the nucleons apart.
Alpha Decay
• An example of alpha decay is a
  smoke detector.

• See examples of things relating to alpha
  decay when you have too much time on
  your hands. Click Here
Beta Decay
• Beta decay occurs with the emission of an
  electron (e-) or β- particle.
        14      14        −
         6   C → N + e + a neutrino
                 7

 No nucleons are lost, and the total number of
 nucleons are the same in the daughter nucleus as in
 the parent nucleus.
 With the loss of an electron, the nucleus must have an
 extra positive charge, so in this case the number of
 protons is 7, which is Nitrogen.
Beta Decay
Beta Decay
• The electron emitted in beta decay is NOT an
  orbital electron; the electron is created in the
  nucleus itself.
• One of the neutrons changes to a proton and in
  the process (to conserve charge) throws off an
  electron.
• These particles are referred to as “beta particles”
  so as not to confuse them with orbital electrons.
Beta Decay and the neutrino
• Through experimentation, scientists found that
  some of the fundamental principles of physics did
  not hold true (Law of Conservation of Energy
  and Law of Conservation of Momentum (both
  linear and angular).
• 1930 – Wolfgang Pauli proposed that there was a
  new particle that was very difficult to detect was
  emitted in beta decay, as well as the electron.
• This new particle was named “neutrino” (little
  neutral one) by Enrico Fermi (1934)
Beta Decay and the neutrino
• In 1956, complex experiments produced further
  evidence for the neutrino, but by then physicists
  had already accepted its existence.
• The symbol for the neutrino is the Greek letter
  “nu” (ν)
• So, the equation from earlier becomes

              14
               6   C → N + e +ν
                      14
                       7
                              −
Negatron Decay
          14
           6   C → N + e +ν
                      14
                       7
                                    −


The bar over the neutrino means that it is an
antineutrino. We will discuss this more in a later
chapter.
This type of decay is also called beta negative, or
negatron decay.
Negatron decay occurs when the isotope lies above the
stable isotope line; there are too many neutrons
compared to the number of protons.
Positron Decay
• Positron decay occurs when there are too few
  neutrons compared to the number of protons.
  These isotopes lie below the stable isotope line.
• In this type of beta decay, the particle that is
  emitted is called a positron, as it has the same
  mass as an electron, but has a charge of +1 (also
  written as e+ or β+)
• The positron is called the antiparticle to the
  electron.
Positron Decay
         19
         10   Ne→ Fl + e + ν
                      19
                       9
                                   +


The e+ represents the positron and the ν represents the
neutrino (Note it is without the bar over it).
                           So…
An antineutrino is emitted with an electron (β-)
                           and
An antielectron is emitted with a neutrino (β+)
Electron Capture
• Electron capture occurs when a nucleus absorbs one of
  the orbiting electrons. Usually, this is one of the
  innermost electrons. The electron disappears and a
  proton becomes a neutron in the process. A neutrino is
  emitted in electron capture decay. This process has been
  detected by the emission of x-rays due to other orbital
  electrons jumping down to fill in the lower energy levels
  and releasing energy of that energy.
       7
       4   Be + e → Li +ν
                   −     7
                         3
Electron Capture
Beta Decay and the weak force
• In beta decay, it is the weak nuclear force
  that plays the crucial role.
• The neutrino interacts with matter only via
  the weak force, which is why it is so hard
  to detect.
Gamma Decay
• Gamma rays are photons having very high
  energies. The decay of a nucleus by the emission
  of a gamma ray is much like the emission of
  photons by excited electrons.
• The gamma rays come from an excited nucleus
  that is trying to get back to its ground state.
• The nucleus could be in an excited state either
  from a collision with another particle or because
  it is a nucleus left over from a previous
  radioactive decay.
Gamma Decay
Gamma Decay
               12
                6   C →12 C + γ
                        6

A nucleus may remain in an excited state for some time
before it emits a gamma ray. The nucleus is them said
to be in a metastable state and is called an isomer.
The nucleus can also return to its ground state by a
process called internal conversion, where no gamma
ray is emitted. The nucleus interacts with an electron
and loses its energy in that way. The electron then
loses the energy as an x-ray. X-rays come from atom-
electron interactions, while gamma rays come from
nuclear processes.
Gamma Decay
Conservation of Nucleon Number
• The following laws all hold true:
   –   Law of Conservation of Energy
   –   Law of Conservation of Linear Momentum
   –   Law of Conservation of Angular Momentum
   –   Conservation of Electric Charge
   –   Law of Conservation of Nucleon Number
• The total number of nucleons stays the same in
  any decay, but the different types can change
  (protons into neutrons and vice versa).
Half Life and Rate of Decay
• Radioactivity is a random event; we do not know
  which atom will decay at what time, but can use
  probability and statistics to tell us how many of
  the atoms will decay in a certain time period.
• The equation used to determine how much will
  decay in that time period is:

           ∆N = −λN∆t
Half Life and Rate of Decay
Number of                        Number of radioactive
Decays that                      Nuclei present
occur in the
time period

               ∆N = −λN∆t
Greek Letter “Lambda” – decay constant         Time period
The decay constant is different for            (in seconds)
different isotopes; the greater the decay
constant, the more radioactive the
isotope is.
Radioactive Decay Law
• The previous equation can be rearranged to find the
  number of atoms left after a specified amount of time to
  decay.
                          − λt
             N = N oe
• The number of decays per second is called the activity of
  the sample.
• To signify how fast an isotope decays, the term “half
  life” is used. The half life of an isotope is the time it
  takes half of the original sample to decay
Half Life
• The half lives of known radioactive isotopes vary from
  about 10-22 seconds to 1028 seconds (about 1021 years)
• Most tables and charts show half life as T1/2
• The half life and decay constant have an inverse
  relationship to one another; the longer the half life, the
  lower the decay constant (the more slowly it decays).
  The precise relationship is

                        0.693
                   T1 =
                    2     λ
Sample Problem
• The decay constant of a given nucleus is
  5.4 x 10-3 /sec. What is its half life? How
  much remains of an initial 100-g sample
  after 6 hours?
Graphing Half life
• Looking at the previous equation, when representing half
  life graphically, it is an exponential graph
Decay Series
• It is often the case that one radioactive
  substance decays into another radioactive
  substance and so on.
• These successive decays are called a decay
  series.
• Because of such decay series, certain
  radioactive elements are found in nature
  that otherwise would not be.
Radioactive Dating
• The age of any once-living object can be determined
  using the natural radioactivity of carbon-14. All living
  plants and animals absorb CO2 from the air and use it to
  synthesize organic molecules. Most of these atoms are
  carbon-12, but a small amount are carbon-14. The
  amount of carbon-14 in the atmosphere has remained
  fairly constant over thousands of years, even though
  carbon-14 has a half life of 5730 years. It has stayed
  constant because neutrons in cosmic radiation collide
  with particles in the atmosphere.
  Collisions with nitrogen particles produce carbon-14 through n
  .
Radioactive Dating
• As long as a plant is alive, it continually absorbs CO2 from
  the air to build new tissue or replace old. Animals
  continuously eat plant matter, so they receive a fresh
  supply of carbon for their tissues. Once the organism
  dies, there is no longer a fresh supply of carbon-14, and
  the amount of carbon-14 begins to decline due to
  radioactive decay.
• It is the ratio of carbon-12 to carbon-14 atoms that
  determines the age of the object.
• Objects older than 60,000 years are difficult to determine
  due to the small amount of carbon-14 present.
Geologic Dating
•   Radioactive isotopes with longer half lives can be used to determine
    the age of older materials.
•   Uranium-238 is used to determine the age of rocks due to its half life
    of 4.5 x 109 years.
•   When molten material cols and solidifies into rock, it cools at
    different temperatures depending on the substance. Therefore,
    different substances separate from one another.
•   Uranium-238, and its daughter nuclei, become isolated in one part of
    the rock sample. Scientists can tell from the number of each type of
    atom how long that particular rock has been formed.
•    Using these dating techniques, scientists have come up with a
    geologic timeline.
Detecting Radiation
Radioactive particles are far too small to be detected by our
    senses; it is for this reason that scientists have created a
    variety of ways to detect the alpha, beta, and gamma
    decays of nuclei.
1. Geiger counter
2. Scintillation counter
3. Liquid scintillators
4. Semiconductor detector
Detecting Radiation
• The previous page shows the ways that we
  can detect radiation; the following are
  ways that we can actually see the track of
  the particle.
• 1. Photographic emulsion
• 2. Cloud chamber
• 3. Bubble chamber
• 4. Wire chamber

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Radioactivity

  • 2. Discovery of Radioactivity • Henri Bequerel (1852-1908) • During his studies of phosphorescence (1896), found a mineral (uranium) would darken a photographic plate even if the plate was wrapped. • Found that this mineral emitted a new kind of radiation (X-rays needed an external stimulus) • Named radioactivity
  • 3. Discovery of Radioactivity • Marie (1867-1934) and Pierre (1859-1906) Curie isolated two previously unknown radioactive materials, polonium and radium • Radioactivity was found to be unaffected by chemical and physical testing, showing that the radiation came from the atom itself – specifically from the disintegration or decay of an unstable nucleus
  • 4. Discovery of Radioactivity • 1898 – Ernest Rutherford began studying the nature of the rays that were emitted • Classified into three distinct types according to their penetrating power. • Alpha decay (α) – positively charged;can barely penetrate a piece of paper • Beta Decay (β) – negatively charged; pass through as much as 3mm of aluminium • Gamma Decay (γ) – neutral; Extremely penetrating
  • 5. Types of Radiation • Alpha Rays (or Alpha particles) = nuclei of Helium atoms (2 protons, 2 neutrons) • Beta Rays = electrons (created within the nucleus) • Gamma Rays = high-energy photons (packets of energy)
  • 6. Alpha Decay • The loss of 2 neutrons and 2 protons (the Helium nucleus) changes the atom. 226 88 Ra → Rn + He 222 86 4 2 A Radium-226 atom decays into a Radon-222 atom and a Helium nucleus
  • 9. Alpha Decay Transmutation is the changing of one element into another. 226 88 Ra → Rn + He 222 86 4 2 Parent Daughter nucleus nucleus
  • 10. Alpha Decay • Occurs because the strong nuclear force is unable to hold very large nuclei together. • The electrical repulsion between the protons of the nucleus pushes apart and can act over much larger distance then the strong nuclear force. • Since the strong nuclear force can only act on particles directly beside each other, the electrical repulsion overpowers the string nuclear force and pushes the nucleons apart.
  • 11. Alpha Decay • An example of alpha decay is a smoke detector. • See examples of things relating to alpha decay when you have too much time on your hands. Click Here
  • 12. Beta Decay • Beta decay occurs with the emission of an electron (e-) or β- particle. 14 14 − 6 C → N + e + a neutrino 7 No nucleons are lost, and the total number of nucleons are the same in the daughter nucleus as in the parent nucleus. With the loss of an electron, the nucleus must have an extra positive charge, so in this case the number of protons is 7, which is Nitrogen.
  • 14. Beta Decay • The electron emitted in beta decay is NOT an orbital electron; the electron is created in the nucleus itself. • One of the neutrons changes to a proton and in the process (to conserve charge) throws off an electron. • These particles are referred to as “beta particles” so as not to confuse them with orbital electrons.
  • 15. Beta Decay and the neutrino • Through experimentation, scientists found that some of the fundamental principles of physics did not hold true (Law of Conservation of Energy and Law of Conservation of Momentum (both linear and angular). • 1930 – Wolfgang Pauli proposed that there was a new particle that was very difficult to detect was emitted in beta decay, as well as the electron. • This new particle was named “neutrino” (little neutral one) by Enrico Fermi (1934)
  • 16. Beta Decay and the neutrino • In 1956, complex experiments produced further evidence for the neutrino, but by then physicists had already accepted its existence. • The symbol for the neutrino is the Greek letter “nu” (ν) • So, the equation from earlier becomes 14 6 C → N + e +ν 14 7 −
  • 17. Negatron Decay 14 6 C → N + e +ν 14 7 − The bar over the neutrino means that it is an antineutrino. We will discuss this more in a later chapter. This type of decay is also called beta negative, or negatron decay. Negatron decay occurs when the isotope lies above the stable isotope line; there are too many neutrons compared to the number of protons.
  • 18. Positron Decay • Positron decay occurs when there are too few neutrons compared to the number of protons. These isotopes lie below the stable isotope line. • In this type of beta decay, the particle that is emitted is called a positron, as it has the same mass as an electron, but has a charge of +1 (also written as e+ or β+) • The positron is called the antiparticle to the electron.
  • 19. Positron Decay 19 10 Ne→ Fl + e + ν 19 9 + The e+ represents the positron and the ν represents the neutrino (Note it is without the bar over it). So… An antineutrino is emitted with an electron (β-) and An antielectron is emitted with a neutrino (β+)
  • 20. Electron Capture • Electron capture occurs when a nucleus absorbs one of the orbiting electrons. Usually, this is one of the innermost electrons. The electron disappears and a proton becomes a neutron in the process. A neutrino is emitted in electron capture decay. This process has been detected by the emission of x-rays due to other orbital electrons jumping down to fill in the lower energy levels and releasing energy of that energy. 7 4 Be + e → Li +ν − 7 3
  • 22. Beta Decay and the weak force • In beta decay, it is the weak nuclear force that plays the crucial role. • The neutrino interacts with matter only via the weak force, which is why it is so hard to detect.
  • 23. Gamma Decay • Gamma rays are photons having very high energies. The decay of a nucleus by the emission of a gamma ray is much like the emission of photons by excited electrons. • The gamma rays come from an excited nucleus that is trying to get back to its ground state. • The nucleus could be in an excited state either from a collision with another particle or because it is a nucleus left over from a previous radioactive decay.
  • 25. Gamma Decay 12 6 C →12 C + γ 6 A nucleus may remain in an excited state for some time before it emits a gamma ray. The nucleus is them said to be in a metastable state and is called an isomer. The nucleus can also return to its ground state by a process called internal conversion, where no gamma ray is emitted. The nucleus interacts with an electron and loses its energy in that way. The electron then loses the energy as an x-ray. X-rays come from atom- electron interactions, while gamma rays come from nuclear processes.
  • 27. Conservation of Nucleon Number • The following laws all hold true: – Law of Conservation of Energy – Law of Conservation of Linear Momentum – Law of Conservation of Angular Momentum – Conservation of Electric Charge – Law of Conservation of Nucleon Number • The total number of nucleons stays the same in any decay, but the different types can change (protons into neutrons and vice versa).
  • 28. Half Life and Rate of Decay • Radioactivity is a random event; we do not know which atom will decay at what time, but can use probability and statistics to tell us how many of the atoms will decay in a certain time period. • The equation used to determine how much will decay in that time period is: ∆N = −λN∆t
  • 29. Half Life and Rate of Decay Number of Number of radioactive Decays that Nuclei present occur in the time period ∆N = −λN∆t Greek Letter “Lambda” – decay constant Time period The decay constant is different for (in seconds) different isotopes; the greater the decay constant, the more radioactive the isotope is.
  • 30. Radioactive Decay Law • The previous equation can be rearranged to find the number of atoms left after a specified amount of time to decay. − λt N = N oe • The number of decays per second is called the activity of the sample. • To signify how fast an isotope decays, the term “half life” is used. The half life of an isotope is the time it takes half of the original sample to decay
  • 31. Half Life • The half lives of known radioactive isotopes vary from about 10-22 seconds to 1028 seconds (about 1021 years) • Most tables and charts show half life as T1/2 • The half life and decay constant have an inverse relationship to one another; the longer the half life, the lower the decay constant (the more slowly it decays). The precise relationship is 0.693 T1 = 2 λ
  • 32. Sample Problem • The decay constant of a given nucleus is 5.4 x 10-3 /sec. What is its half life? How much remains of an initial 100-g sample after 6 hours?
  • 33. Graphing Half life • Looking at the previous equation, when representing half life graphically, it is an exponential graph
  • 34. Decay Series • It is often the case that one radioactive substance decays into another radioactive substance and so on. • These successive decays are called a decay series. • Because of such decay series, certain radioactive elements are found in nature that otherwise would not be.
  • 35. Radioactive Dating • The age of any once-living object can be determined using the natural radioactivity of carbon-14. All living plants and animals absorb CO2 from the air and use it to synthesize organic molecules. Most of these atoms are carbon-12, but a small amount are carbon-14. The amount of carbon-14 in the atmosphere has remained fairly constant over thousands of years, even though carbon-14 has a half life of 5730 years. It has stayed constant because neutrons in cosmic radiation collide with particles in the atmosphere. Collisions with nitrogen particles produce carbon-14 through n .
  • 36. Radioactive Dating • As long as a plant is alive, it continually absorbs CO2 from the air to build new tissue or replace old. Animals continuously eat plant matter, so they receive a fresh supply of carbon for their tissues. Once the organism dies, there is no longer a fresh supply of carbon-14, and the amount of carbon-14 begins to decline due to radioactive decay. • It is the ratio of carbon-12 to carbon-14 atoms that determines the age of the object. • Objects older than 60,000 years are difficult to determine due to the small amount of carbon-14 present.
  • 37. Geologic Dating • Radioactive isotopes with longer half lives can be used to determine the age of older materials. • Uranium-238 is used to determine the age of rocks due to its half life of 4.5 x 109 years. • When molten material cols and solidifies into rock, it cools at different temperatures depending on the substance. Therefore, different substances separate from one another. • Uranium-238, and its daughter nuclei, become isolated in one part of the rock sample. Scientists can tell from the number of each type of atom how long that particular rock has been formed. • Using these dating techniques, scientists have come up with a geologic timeline.
  • 38. Detecting Radiation Radioactive particles are far too small to be detected by our senses; it is for this reason that scientists have created a variety of ways to detect the alpha, beta, and gamma decays of nuclei. 1. Geiger counter 2. Scintillation counter 3. Liquid scintillators 4. Semiconductor detector
  • 39. Detecting Radiation • The previous page shows the ways that we can detect radiation; the following are ways that we can actually see the track of the particle. • 1. Photographic emulsion • 2. Cloud chamber • 3. Bubble chamber • 4. Wire chamber