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Atomic number = # of protons in nucleus                   THE PERIODIC TABLE
# of nucleons = # of protons + # of neutrons
                                                             OF ELEMENTS
The number of neutrons can vary slightly for a given element (isotopes)
Atomic weight is equal to average number of nucleons in nucleus
Radioactivity: Birth of a new science
Milestones (important events) leading to establishment of nuclear
science as a subject
Discovery of X-Rays by W.C. Roentgen
             X-
Discovery of Radioactivity by H. Becquerel
Discovery of Polonium and Radium by Marie and Pierre Curies
Discovery of electron by J.J. Thompson
Classification of radioactive emissions by E. Rutherford
Discovery of atomic nucleus by E. Rutherford
Enunciation of Rutherford-Soddy displacement law
               Rutherford-
Discovery of neutron by J. Chadwick
Discovery of artificial radioactivity by Irene and J. Curies
Discovery of nuclear fission by O. Hahn and Strassmann
Atomic Structure

                             Inner
                             electron
                             shell

Proton
                             Nucleus



Neutron
                             Outer
                             electron
                             shell
Relative scale model of an atom and the
                        solar system

        Do you perceive a gold ring to contain a larger fraction of solid matter
                                than the solar system?




On this scale, the nearest star would be a little over 10,000 miles
away
Nuclear notation
• Z = atomic number or proton number, is the
  number of protons in the nucleus.
• N = neutron number, is the number of neutrons
  in the nucleus.
• A = Z + N = mass number, is the number of
  nucleons in the nucleus.
                              A
• In general, the notation is Z X N

• For example, 12 C6 has atomic mass 12.000
                6
Radioactivity
• Questions
  – How and why do nuclei decay?
  – How do we use nuclear decay to tell time?
  – What is the evidence for presence of now extinct
    radionuclides in the early solar system?
  – How much do you really need to know about
    secular equilibrium and the U-series?


• Tools
  – First-order ordinary differential equations
Enrico Fermi
      (1901-1954)
-------------------------------

One   fermi (f) = 10-15 m
r = 1.2 A1/3 (in f)
-------------------------
   Helium: A = 4
       r = 1.2 (4)1/3
           = 1.9 f
-------------------------
 Uranium: A = 238
     r = 1.2 (238)1/3
           = 7.4 f
Protons which would        Beyond about one fermi
                              otherwise strongly repel   the strong force declines
                              at close distances are     extremely rapidly.
                              held in place by an
                              extremely strong, but      As more protons are
                              extremely short range      added to the nucleus,
                              force called the strong    more neutrons are
                              force. Other names for     needed to bind the
                              the strong force are       protons together, but
                              strong nuclear force, or   the larger the nucleus
                              nuclear force.             becomes, the farther
                                                         apart are the protons
    STRONG FORCE              The strong force between   and the less effective
                              two protons is about the   is the strong force
Protons and neutrons in       same as the strong force
the nucleus are               between two neutrons, or
collectively referred to as   a proton and a neutron.
 nucleons.
Isotopes: Nuclides with same atomic number but different atomic
weight (or different neutron number)
All the nuclides belong to the same element
   1     2        3               12   13        39    40    41
1H , 1H (D), 1H (T)             6C , 6C       19K , 19K , 19K
     234, U235, U238
92U      92    92

Isobars: Nuclides with same atomic weight but different atomic
number (Nuclides belong to different elements)
18 Ar40, 19K40, 20Ca40
Isotones: Nuclides with the same number of neutrons.
   12   13
5B , 6C both have 7 Neutrons

Mirror nuclei: Nuclides with neutron and proton number
interchanged
7 N15 and 8O15
In general, the mass defect is calculated by summing the mass of
protons, neutrons, and electrons in an atom, and subtracting the
atom’s actual atomic mass. The general formula is:
Md = Zmp + Nmn - Ma
Where Z is the atomic number, N is the number of neutrons in the
atom, and Ma is the actual measured mass of the atom. Placing Md
into Einstein's equation for relating mass and energy gives the
energy release from forming the atom from its constituent
particles:
E = Mdc2
Electric force is longer range
than the strong force.

Eventually separation becomes
too great for the strong force to
compensate for the repulsive
forces.

Nuclei spontaneously
disintegrate for proton numbers
larger than 83.

The release of light and or
particles which accompanies
the disintegration is called
radiation, first discovered by
Henri Becquerel in 1896.
Fundamental law of radioactive decay
• Each nucleus has a fixed probability of decaying per
  unit time. Nothing affects this probability (e.g.,
  temperature, pressure, bonding environment, etc.)
   [exception: very high pressure promotes electron capture slightly]

• This is equivalent to saying that averaged over a large
  enough number of atoms the number of decays per
  unit time is proportional to the number of atoms
  present.
                                   dN
• Therefore in a closed system:        = − λN  (Equation 3.1)
                                    dt
  – N = number of parent nuclei at time t
  – λ = decay constant = probability of decay per unit time (units:
    s–1)
• To get time history of number of parent nuclei,
  integrate 3.1:       N (t ) = No e− λt         (3.2)
    – No = initial number of parent nuclei at time t = 0.
Definitions
    • The mean life τ of a parent nuclide is given by the
      number present divided by the removal rate (recall this
      later when we talk about residence time):
                                    N 1
                                τ=   =
                                   λN λ
        – This is also the “e-folding” time of the decay:
                                      − λτ           −1     No
                      N (τ ) = No e          = Noe        =
                                                            e
     • The half life t1/2 of a nucleus is the time after which
        half the parent remains:
             No       − λt1/2                         ln 2 .693
N (t1/ 2 ) =    = Noe         ⇒ λt1/ 2 = ln2 ⇒ t1/2 =     ≈     (3.3)
             2                                         λ     λ
    • The activity is decays per unit time, denoted by
      parentheses:          ( N ) = λN                           (3.4)
Decay of parent
                  λNo                                                            0




                                                                ln(λN)–ln(λNo)
                                                                                 -1
       Activity
                  λNo                                                            -2                      slope = -1
                   2
                  λNo                                                            -3
                   e
                                                                                 -4

                                                                                 -5
                        0   t 1/2 τ   2τ      3τ    4τ   5τ                           0   t 1/2 τ   2τ      3τ        4τ   5τ
                                           time                                                          time

Some dating schemes only consider measurement of parent nuclei
because initial abundance is somehow known.
   •     14C-14N: cosmic rays create a roughly constant atmospheric 14C
         inventory, so that living matter has a roughly constant 14C/C ratio while it
         exchanges CO2 with the environment through photosynthesis or diet.
         After death this 14C decays with half life 5730 years. Hence even through
         the daughter 14N is not retained or measured, age is calculated using:
                                            14
                                                    1         ( C) / C
                                              t=      ln 14
                                                          [
                                                   λ14 ( C) / C                           ]o
Modes of decay
• A nucleus will be radioactive if by decaying it can
  lower the overall mass, leading to larger (negative)
  nuclear binding energy
   – Yet another manifestation of the 2nd Law of thermodynamics
• Nuclei can spontaneously transform to lower mass
  nuclei by one of five processes
   –    α-decay
   –    β-decay
   –   positron emission
   –   electron capture
   –   spontaneous fission
• Each process transforms a radioactive parent nucleus
  into one or more daughter nuclei.
α-decay
   Emission of an α-particle or 4He nucleus (2 neutrons, 2 protons)

                            α-decay                                     The parent decreases its mass number
                                  238
                                                                        by 4, atomic number by 2.
                 92                     U
   # pr ot ons




                 91
                                                                        Example: 238U -> 234Th + 4He
                      234
                 90         Th                                          Mass-energy budget:
                                                           23
                                                           23
                                                                        238U           238.0508 amu
                                                              8
                      144 145 146
                                                     23
                                                     23

                       # neutrons                                  s
                                                          7
                                                          7
                                                          7
                                                          7
                                                2
                                                2
                                                2
                                                2



                                                              on        234Th          –234.0436
                                                3
                                                3
                                                3
                                                36



                                                           le
                                            2




                                                         uc             4He
                                            35
                                            35




                                                     n                                 –4.00260
                                      2
                                      23




                                                 #
                                        4
                                        4




                                                                        mass defect 0.0046 amu
       AX → A−4Y + 4He                                                         = 0.0046 x 930.5 = 4.5 MeV
       Z    Z −2   2
 X is called the parent nucleus and Y is called the daughter nucleus
This is the preferred decay mode of nuclei heavier than
  209Bi with a proton/neutron ratio along the valley of
  stability
β-decay
                   Emission of an electron (and an antineutrino) during
                           conversion of a neutron into a proton
                                             The mass number does not change,
                   β-decay
                                             the atomic number increases by 1.
      # prot ons




                        87
                   38        Sr
                                                                       Example: 87Rb -> 87Sr + e– + ν
                   37             87
                                       Rb                              Mass-energy budget:
                         49 50                                         87Rb          86.909186 amu
                                                     8
                                                     88


                        # neutrons                          n   s
                                                         eo
                                            87
                                            87




                                                       l               87Sr          –86.908882
                                                     uc
                                        86
                                        86
                                        86
                                        86




                                                 n
                                             #                         mass defect 0.0003 amu
                                                                              = 0.0003 x 931 = 0.28 MeV
The emission of the electron is from the nucleus
    The nucleus contains protons and neutrons
    The process occurs when a neutron is
    transformed into a proton and an electron
    Energy must be conserved

                   This is the preferred decay mode of nuclei with excess
                           neutrons compared to the valley of stability
Beta Decay
• Symbolically        A         A     −
                      Z   X→ Y + e + ν
                              Z +1
                      A       A
                      Z   X→ Z−1Y + e + + ν

  – ν is the symbol for the neutrino
  – ν is the symbol for the antineutrino

• To summarize, in beta decay, the following
  pairs of particles are emitted
  – An electron and an antineutrino
  – A positron and a neutrino
β+-decay and electron capture
Emission of a positron (and a neutrino) or capture of an
 inner-shell electron during conversion of a proton into
                        a neutron
 Electron Capture
                        The mass number does not change,
 # prot ons




  19   K           40
                        the atomic number decreases by 1.
                         40
              18              Ar
                    21 22
                                            4
                                            41
                                                           s
                                                               Examples: 40K -> 40Ar + e+ + ν
                   # neutrons                          n
                                    4
                                    4


                                                    eo               50V+ e– -> 50Ti + ν + γ
                                        0
                                        0


                                                 cl
                                   39
                                   39
                                   39
                                   39




                                            nu
                                        #
                                                               In positron emission, most energy is
                                                               liberated by remote matter-antimatter
                                                               annihilation. In electron capture, a gamma
                                                               ray carries off the excess energy.


 These are the preferred decay modes of nuclei with
  excess protons compared to the valley of stability
Gamma Decay
• Gamma rays are given off when an excited nucleus
  “falls” to a lower energy state
  – Similar to the process of electron “jumps” to lower energy
    states and giving off photons
• The excited nuclear states result from “jumps” made
  by a proton or neutron
• The excited nuclear states may be the result of
  violent collision or more likely of an alpha or beta
  emission
• Example of a decay sequence 12 B→12 C * + e − + ν
                                       5     6
  – The first decay is a beta emission 12
                                        6 C*→12 C + γ
                                              6
  – The second step is a gamma emission
Spontaneous Fission
                       Certain very heavy nuclei, particular those with even mass
                        numbers (e.g., 238U and 244Pu) can spontaneously fission.
                       Odd-mass heavy nuclei typically only fission in response to
                                               neutron capture (e.g., 235U, 239Pu)
                     10
                                                                There is no fixed daughter product but rather a
                                                   235
                                                                statistical distribution of fission products with
                                                         U+n    two peaks (most fissions are asymmetric).
                       1

                                                                Because of the curvature of the valley of
Fission Yield ( %)




                                                                stability, most fission daughters have excess
                     0.1
                                                                neutrons and tend to be radioactive (β-decays).

                 0.01
                                                                You can see why some of the isotopes people
                                                                worry about in nuclear fallout are 91Sr and 137Cs.

        0.001                                                   Recoil of daughter products leave fission tracks
                                                                of damage in crystals about 10 µm long, which
                                                                only heal above ~300°C and are therefore useful
0.0001
                                                                for low-temperature thermochronometry.
                           80    100   120   140   160    180
                                Atomic Mass (amu)
Natural Radioactivity
• Classification of nuclei
   – Unstable nuclei found in nature
      • Give rise to natural radioactivity
   – Nuclei produced in the laboratory through nuclear
     reactions
      • Exhibit artificial radioactivity
• Three series of natural radioactivity exist
   – Uranium-235 (4n + 3 series)
     Uranium-                            ends at Pb-207
                                                 Pb-
   – Uranium-238 (4n + 2 series)
     Uranium-                            ends at Pb-206
                                                 Pb-
   – Thorium-232 (4n series)
     Thorium-                            ends at Pb-208
                                                 Pb-
   4n + 1 series starting from Neptunium-237 is extinct
                               Neptunium-
                                      ends at Bi-209
                                              Bi-
Uses of Radioactivity
• Carbon Dating
   – Beta decay of 14C is used to date organic samples
   – The ratio of 14C to 12C is used
• Smoke detectors
   – Ionization type smoke detectors use a radioactive
     source to ionize the air in a chamber
   – A voltage and current are maintained
   – When smoke enters the chamber, the current is
     decreased and the alarm sounds
• Radon pollution
   – Radon is an inert, gaseous element associated
     with the decay of radium
   – It is present in uranium mines and in certain types
     of rocks, bricks, etc that may be used in home
     building
   – May also come from the ground itself
Nuclear Reactions
• Structure of nuclei can be changed by
  bombarding them with energetic particles
  – The changes are called nuclear reactions
• As with nuclear decays, the atomic
  numbers and mass numbers must balance
  on both sides of the equation
Which of the following are possible
               reactions?




   (a) and (b). Reactions (a) and (b) both
conserve total charge and total mass number
      as required. Reaction (c) violates
 conservation of mass number with the sum
   of the mass numbers being 240 before
 reaction and being only 223 after reaction.
Determine the product of the reaction
                      7 Li + 4 He → X ? + n
                      3      2      Y
What is the Q value of the reaction?

               In order to balance the reaction, the total amount of
Given:         nucleons (sum of A-numbers) must be the same on
               both sides. Same for the Z-number.
reaction
               Number of nucleons (A):             7 + 4 = X + 1 ⇒ X = 10
               Number of protons (Z):              3+ 2 = Y + 0 ⇒ Y = 5
               Thus, it is B, i.e.
                                         7
Find:                                    3   Li + 2 He → 10 B + 01n
                                                  4
                                                          5


Q=?            The Q-value is then


                                     (                                )
                Q = ( ∆m ) c 2 = m7 Li + m 4 He − m10 B − mn c 2 = −2.79MeV
Processes of Nuclear Energy
• Fission
  – A nucleus of large mass number splits into
    two smaller nuclei
• Fusion
  – Two light nuclei fuse to form a heavier
    nucleus
• Large amounts of energy are released in
  either case
Nuclear Fission
• A heavy nucleus splits into two smaller nuclei
• The total mass of the products is less than the original
  mass of the heavy nucleus
• First observed in 1939 by Otto Hahn and Fritz
  Strassman following basic studies by Fermi
• Lisa Meitner and Otto Frisch soon explained what had
  happened
• Fission of 235U by a slow (low energy) neutron
              1
              0   n+ 235 U→236 U* → X + Y + neutrons
                      92    92


   – 236U* is an intermediate, short-lived state
   – X and Y are called fission fragments
      • Many combinations of X and Y satisfy the requirements of
        conservation of energy and charge
Sequence of Events in Fission




 • The 235U nucleus captures a thermal (slow-moving) neutron
 • This capture results in the formation of 236U*, and the excess energy
   of this nucleus causes it to undergo violent oscillations
 • The 236U* nucleus becomes highly elongated, and the force of
   repulsion between the protons tends to increase the distortion
 • The nucleus splits into two fragments, emitting several neutrons in
   the process
Natural (radioactive) decay (fission)
Neutron-induced fission

                  • Many heavy elements (eg.
                    Uranium) decay (slowly) into
                    lighter elements (natural decay)
                  • However, this fission can also be
                    induced by an incoming neutron.
                  • Fission reaction release a lot of
                    energy.
                  • Fission often creates new
                    neutrons!!
Fission and
chain reaction




Fission releases neutrons …
… these neutrons cause new fission
reactions in surrounding Uranium …
… creating more neutrons …
… chain reaction
Energy in a Fission Process
• Binding energy for heavy nuclei is about 7.2 MeV per
  nucleon
• Binding energy for intermediate nuclei is about 8.1 MeV
  per nucleon
• Therefore, the fission fragments have less mass than the
  nucleons in the original nuclei
• This decrease in mass per nucleon appears as released
  energy in the fission event
• An estimate of the energy released
   – Assume a total of 236 nucleons
   – Releases about 0.9 MeV per nucleon
       • 8.1 MeV – 7.2 MeV
   – Total energy released is about 212 Mev
• This is very large compared to the amount of energy
  released in chemical processes
Chain Reaction
 • Neutrons are emitted when 235U undergoes fission
 • These neutrons are then available to trigger fission in
   other nuclei
 • This process is called a chain reaction

–If uncontrolled, a
violent explosion can
occur
–The principle behind
the nuclear bomb, where
1 g of U can release
energy equal to about
20000 tons of TNT
Carbon dating is a variety of radioactive
                        dating which is applicable only to matter
                        which was once living and presumed to be in
                        equilibrium with the atmosphere, taking in
                        carbon dioxide from the air for photosynthesis.
                        Cosmic ray protons blast nuclei in the upper
                        atmosphere, producing neutrons which in turn
                        bombard nitrogen, the major constituent of
                        the atmosphere . This neutron bombardment
                        produces the radioactive isotope carbon-14.
                                                           carbon-
                        The radioactive carbon-14 combines with
                                        carbon-
                        oxygen to form carbon dioxide and is
                        incorporated into the cycle of living things.

The carbon-14 forms at a rate which appears to be constant, so that by
    carbon-
measuring the radioactive emissions from once-living matter and
                                             once-
comparing its activity with the equilibrium level of living things, a
measurement of the time elapsed can be made.
                                       made.
Radioactive Dating

   Radioactive half-life of a given radioisotope is not affected
                half-
   by temperature, physical or chemical state, or any other
   influence of the environment outside the nucleus.
                                              nucleus.

Radioactive samples continue to decay at a predictable rate.
                                                          rate.
   This makes several types of radioactive dating feasible.
                                                  feasible.
There are two main uncertainties in the dating process:
                                               process:

   1. What was the amount of the daughter element when
      the rocks were formed?
   2. Have any of the parent or daughter atoms been added
      or removed during the process?
Balancing Nuclear Decay Equations

    238  --------> 90Th234 + 2He4
 92U                                         Proton and nucleon counts
 -----------------------------------------   must
 Subscripts are "proton                      be the same:
 numbers"                                    92 = 90 + 2
 Superscripts are "nucleon                   238 = 234 + 4
 numbers"

Distribution of Energy in Alpha Emission             ∆m = 0.0046 u

                                                     E = 0.0046 x 931
                                                       = 4.3 MeV
                                                     -----------------------
                                                     Which particle
                                                     has the greater
                                                     kinetic energy?
Energy Distribution in Radioactive Decay

                                     Conservation of
                                     momentum:
                                     Mv = mV               (2)
                                     Rearranging, we get
 Ratio of kinetic energies:          V/v = M/m          (3)

KEm / KEM: (1/2 mV2) / (1/2 Mv2)     Substitute (3) into (1):

      = (m/M)(V2/v2)                 Ratio = (m/M)(M/m)2 (4)
                                          = M/m
      = (m/M)(V/v)2      (1)         Smaller mass gets more
                                     energy
Smoke Detector


      Alpha particles emitted from
      source ionize the air and
      provide the charge necessary
      to conduct current through
      the air.

      Charges stick to the heavy
      smoke particles and the
      current drops, causing the
      alarm to buzz.
Wavelength of a Gamma Ray

What is the wavelength of a 1 MeV gamma ray?

Using the 1234 rule:
λ = 1234 eV-nm / E
  = 1234 eV-nm / 1 x 106 eV
  = 1.23 x 10-6 nm
  = 1.23 x 10-15 m
  = 1.23 fermi
This gamma radiation is extraordinarily harmful
to humans and other living things since its
wavelength is comparable to the diameter of
a nucleon; transmutations are likely when
such radiation reaches nuclei.
Measuring the Age of Organic Matter




                         A German tourist in
                         the Italian Alps
                         discovered the
                         remains of the
                         "Iceman" in the ice
                         of a glacier in 1991
Calculating the Iceman's Age


             The current activity per gram of
             carbon is 0.23 Bq per gram.
             Iceman's carbon showed
             0.121, or about half what it
              would be if the Iceman were
             alive.

             Since the half-life of carbon-14
             is about 5700 years, the
             Iceman's remains are about
             5700 years old.
The Shroud of Turin

              Since the1354 AD, a
              yellowing piece of linen
              14-ft long has been
              stored in Turin, Italy.
              It bears the image of a
              person who seems to
              be wearing a crown of
              thorns.
              Could the Shroud of
              Turin have been the
              burial cloth of a person
              who died two thousand
              years ago?
Dating of the Shroud of Turin
           At the time of the public exhibition of the
           shroud in 1354, a bishop declared it to
           be fraud. Most religious bodies take a
           neutral stance on the shroud's
           authenticity.

           In 1988, three laboratories were given
           four pieces of fabric; three were control
           pieces similar in appearance, and one
           was a piece from the shroud. The
           labs all agreed that the shroud was 608-
           728 years old, which means that it
           came into existence sometime
           between1260 and 1380 AD, a time
           span which includes the year the
           shroud was first shown to the public.
In 1934, Irene and Frederic Joliot-Curie discover the
artificial radioactivity, making a great step toward the use
and the control of radioactivity. For this discovery, they
received the Nobel price of chemistry in 1935.
They were the first to show that mankind could build under
control some news radioactive nuclei. By shooting an
aluminium sheet with alpha particles (helium nuclei), they
were able to make radioactive phosphorus, a new isotope of
the stable phosphorus that was never observed in nature.
They demonstrated it by chemically isolating the phosphorus
produced before it becomes silicium by its radioactivity. The
creation an unnatural radioactive element is what we call the
creation of artificial radioactivity.
Positrons
In 1930 Paul Dirac calculated the existence of electrons with positive charges. These "anti-electrons" would be
expected to have the same mass as the electron, but opposite electric charge. In 1932 Carl Anderson was examining
tracks produced by cosmic rays in a cloud chamber. One particle made a track like an electron, but the curvature of
its path in the magnetic field showed that it was positively charged. He named this positive electron a positron. We
know that the particle Anderson detected was the anti-electron predicted by Dirac. An electron and positron
annihilate one another producing two gamma rays (β- + β+® γ + γ).
Irene Curie-Joliot (1897-1956), the daughter of Marie & Pierre, and her husband Frédéric Joliot prepared
phosphorus-30 by bombarding aluminum with alpha particles..


Phosphorus-30 does not occur in nature and is radioactive. This was the first artificial radioactive substance ever
prepared. Aside from the three natural types of radioactivity (α,β,γ), artificially made nuclei can undergo:


Both positron emission and electron capture tend to occur for radioactive isotopes that need to convert a proton into
a neutron. The Curie-Joliots were awarded the Nobel Prize in Chemistry in 1935 for discovering artificial
radioactivity.
Chemical Reaction             Nuclear reaction
Atoms are rearranged by      Elements (or isotopes of
the breaking and formation the same elements) are
of chemical bonds            converted from one to
                             another
Only electrons in atomic     Protons, neutrons,
orbitals are involved in the electrons and other
breaking and forming of      elementary particles may
bonds                        be involved
Absorption or release of     Absorption or release of
small amounts of energy      tremendous amounts of
                             energy
Rates of reactions are       Rates of reactions are NOT
affected by temperature,     affected by temperature,
pressure, concentration      pressure, concentration
and catalysts                and catalysts
Producing Radioactive Isotopes:

TRANSMUTATION is the process of changing one element
into another.

A stable atom can be bombarded with fast-moving a particles,
protons, or neutrons.

A radioactive isotope is called a RADIOISOTOPE.
Half-Life:
The HALF-LIFE of a radioisotope is the amount of time it
takes for half of the sample to decay.
A DECAY CURVE is a graph of the decay of a radioisotope
(amount vs. time).
Some radioisotopes have long half-lives. For other
radioisotopes, the half-life can be short.
Radioactivity

                                                                                                                                                                Penetrating power of different forms of radiation:
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Chemical reactions

          CH4 + 2O2     CO2 + 2H2O + some energy




One molecule or element reacts with another one.
  Get a rearrangement (different combination) of elements.


No new elements are created (C, H, O before and C, H, O after)
– a nuclear reaction
   As an example, when uranium 238 emits
     an alpha particle, it loses 2 protons and
     2 neutrons.


    238               234          4
     92 U −− >         90 Th + He  2

– Nuclear reactions must balance just like
  any other chemical reaction, but we must
  also be aware of balancing protons and
  neutrons
Nuclear Reactions
Nuclear reactions occur when a nucleus is struck by a
particle or other nucleus.

            n+    14   N →     1 4C   + p
                  7             6
          4H   e+   14 N   →   1 7O     1
                                      + 1H
          2          7          8

•The second reaction was observed by Rutherford and is the
first nuclear reaction observed.
•It should be noted that in the first reaction, the neutron can
enter the nucleus with very little energy but the 4He is repelled
by the nucleus and thus has to overcome the Coulomb barrier
in order to come close enough to cause a nuclear reaction.
Parameter     Chemical Reaction       Nuclear Reaction
Reaction     H + H → H2            H + H → 2H (D)

Mechanism    Interaction of        Interaction of nuclei
             electrons
Species      Do not change         New species form

Energy      ∆H = 104.2 kCal/mol Q = 33.47 x 106
change      1.73 x 10-22 kCal.atom kCal/mol
            (4.5 eV/atom)          5.56 x 10-17 kCal/atom
                                   (1.452 MeV/atom)
Conservatio Maintained             Maintained
n of mass
and energy
Radioactivity in Nature
Our world is radioactive and has been since it was created
Over 60 radionuclides (radioactive isotopes) can be found in nature.
Radionuclides are found in air, water, food and soil
Radionuclides are even found in our body
Everyday we ingest and inhale radionuclides


In addition to radionuclides found in nature
We have
Cosmogenic radionuclides: formed as a result of cosmic ray interactions
Man-made radionuclides


Number of radionuclides > 2000
Number of elements: 111
Natural Radioactivity in soil
How much natural radioactivity is found in a volume of soil that is 2.6 sq KM, 30
cm deep (total volume = 7.894 x 105 m3)


Every day, we ingest/inhale nuclides in our air we breath, in the food we eat
and the water we drink. Radioactivity is common in the rocks and soil that
makes up our planet, in the water and oceans, and even in our building
materials and homes. It is just everywhere. There is no where on Earth that you
can get away from Natural Radioactivity.
Radioactive elements are often called radioactive isotopes or radionuclides.
There are over 1,500 different radioactive nuclides
Natural Radioactivity in Food

Food              40K     (pCi/kg)   226Ra   (pCi/kg)
Banana            3,520              1
Carrot            3,400              0.6 - 2
White potatoes    3,400              1 – 2.5
Beer              390                ----
Red meat          3,000              0.5
Drinking water    -----              0 – 0.17

 Handbook of radiation measurement and protection
Radionuclides in building materials

Material     Uranium (µg/g)
                     (µg/g)      Thorium (µg/g)
                                         (µg/g)        Potassium (µg/g)
                                                                 (µg/g)
Granite      4.7                 2                     4
Sandstone    0.45                1.7                   1.4
Cement       3.4                 5.1                   0.8
Limestone    2.3                 2.1                   0.3
concrete
Sandstone    0.8                 2.1                   1.3
concrete
Dry          1                   3                     0.3
wallboard
Byproduct    13.7                16.1                  0.02
gypsum
Natural      1.1                 1.8                   0.5
gypsum
Wood         -                   -                     11.3
Clay brick   8.2                 10.8                  2.3
Some radionuclides in human body

Nuclide   Total mass Total      Daily
          of nuclide activity   intake
          in the body
Uranium   90 µg       1.1 Bq    1.9 µg
Thorium   30 µg       0.11 Bq   3 µg
Potassium- 17 mg      4.4 kBq   0.39 mg
40
Radium     31 pg      1.1 Bq    2.3 pg
Carbon-14 95 µg       15 kBq    1.8 µg
Tritium   0.06 pg     23 Bq     0.003 pg
 introduction-to-radioactivity
 introduction-to-radioactivity
 introduction-to-radioactivity

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introduction-to-radioactivity

  • 1.
  • 2. Atomic number = # of protons in nucleus THE PERIODIC TABLE # of nucleons = # of protons + # of neutrons OF ELEMENTS The number of neutrons can vary slightly for a given element (isotopes) Atomic weight is equal to average number of nucleons in nucleus
  • 3. Radioactivity: Birth of a new science Milestones (important events) leading to establishment of nuclear science as a subject Discovery of X-Rays by W.C. Roentgen X- Discovery of Radioactivity by H. Becquerel Discovery of Polonium and Radium by Marie and Pierre Curies Discovery of electron by J.J. Thompson Classification of radioactive emissions by E. Rutherford Discovery of atomic nucleus by E. Rutherford Enunciation of Rutherford-Soddy displacement law Rutherford- Discovery of neutron by J. Chadwick Discovery of artificial radioactivity by Irene and J. Curies Discovery of nuclear fission by O. Hahn and Strassmann
  • 4.
  • 5.
  • 6.
  • 7.
  • 8. Atomic Structure Inner electron shell Proton Nucleus Neutron Outer electron shell
  • 9. Relative scale model of an atom and the solar system Do you perceive a gold ring to contain a larger fraction of solid matter than the solar system? On this scale, the nearest star would be a little over 10,000 miles away
  • 10. Nuclear notation • Z = atomic number or proton number, is the number of protons in the nucleus. • N = neutron number, is the number of neutrons in the nucleus. • A = Z + N = mass number, is the number of nucleons in the nucleus. A • In general, the notation is Z X N • For example, 12 C6 has atomic mass 12.000 6
  • 11. Radioactivity • Questions – How and why do nuclei decay? – How do we use nuclear decay to tell time? – What is the evidence for presence of now extinct radionuclides in the early solar system? – How much do you really need to know about secular equilibrium and the U-series? • Tools – First-order ordinary differential equations
  • 12. Enrico Fermi (1901-1954) ------------------------------- One fermi (f) = 10-15 m
  • 13. r = 1.2 A1/3 (in f) ------------------------- Helium: A = 4 r = 1.2 (4)1/3 = 1.9 f ------------------------- Uranium: A = 238 r = 1.2 (238)1/3 = 7.4 f
  • 14. Protons which would Beyond about one fermi otherwise strongly repel the strong force declines at close distances are extremely rapidly. held in place by an extremely strong, but As more protons are extremely short range added to the nucleus, force called the strong more neutrons are force. Other names for needed to bind the the strong force are protons together, but strong nuclear force, or the larger the nucleus nuclear force. becomes, the farther apart are the protons STRONG FORCE The strong force between and the less effective two protons is about the is the strong force Protons and neutrons in same as the strong force the nucleus are between two neutrons, or collectively referred to as a proton and a neutron. nucleons.
  • 15. Isotopes: Nuclides with same atomic number but different atomic weight (or different neutron number) All the nuclides belong to the same element 1 2 3 12 13 39 40 41 1H , 1H (D), 1H (T) 6C , 6C 19K , 19K , 19K 234, U235, U238 92U 92 92 Isobars: Nuclides with same atomic weight but different atomic number (Nuclides belong to different elements) 18 Ar40, 19K40, 20Ca40 Isotones: Nuclides with the same number of neutrons. 12 13 5B , 6C both have 7 Neutrons Mirror nuclei: Nuclides with neutron and proton number interchanged 7 N15 and 8O15
  • 16.
  • 17. In general, the mass defect is calculated by summing the mass of protons, neutrons, and electrons in an atom, and subtracting the atom’s actual atomic mass. The general formula is: Md = Zmp + Nmn - Ma Where Z is the atomic number, N is the number of neutrons in the atom, and Ma is the actual measured mass of the atom. Placing Md into Einstein's equation for relating mass and energy gives the energy release from forming the atom from its constituent particles: E = Mdc2
  • 18.
  • 19. Electric force is longer range than the strong force. Eventually separation becomes too great for the strong force to compensate for the repulsive forces. Nuclei spontaneously disintegrate for proton numbers larger than 83. The release of light and or particles which accompanies the disintegration is called radiation, first discovered by Henri Becquerel in 1896.
  • 20. Fundamental law of radioactive decay • Each nucleus has a fixed probability of decaying per unit time. Nothing affects this probability (e.g., temperature, pressure, bonding environment, etc.) [exception: very high pressure promotes electron capture slightly] • This is equivalent to saying that averaged over a large enough number of atoms the number of decays per unit time is proportional to the number of atoms present. dN • Therefore in a closed system: = − λN (Equation 3.1) dt – N = number of parent nuclei at time t – λ = decay constant = probability of decay per unit time (units: s–1) • To get time history of number of parent nuclei, integrate 3.1: N (t ) = No e− λt (3.2) – No = initial number of parent nuclei at time t = 0.
  • 21. Definitions • The mean life τ of a parent nuclide is given by the number present divided by the removal rate (recall this later when we talk about residence time): N 1 τ= = λN λ – This is also the “e-folding” time of the decay: − λτ −1 No N (τ ) = No e = Noe = e • The half life t1/2 of a nucleus is the time after which half the parent remains: No − λt1/2 ln 2 .693 N (t1/ 2 ) = = Noe ⇒ λt1/ 2 = ln2 ⇒ t1/2 = ≈ (3.3) 2 λ λ • The activity is decays per unit time, denoted by parentheses: ( N ) = λN (3.4)
  • 22. Decay of parent λNo 0 ln(λN)–ln(λNo) -1 Activity λNo -2 slope = -1 2 λNo -3 e -4 -5 0 t 1/2 τ 2τ 3τ 4τ 5τ 0 t 1/2 τ 2τ 3τ 4τ 5τ time time Some dating schemes only consider measurement of parent nuclei because initial abundance is somehow known. • 14C-14N: cosmic rays create a roughly constant atmospheric 14C inventory, so that living matter has a roughly constant 14C/C ratio while it exchanges CO2 with the environment through photosynthesis or diet. After death this 14C decays with half life 5730 years. Hence even through the daughter 14N is not retained or measured, age is calculated using: 14 1 ( C) / C t= ln 14 [ λ14 ( C) / C ]o
  • 23. Modes of decay • A nucleus will be radioactive if by decaying it can lower the overall mass, leading to larger (negative) nuclear binding energy – Yet another manifestation of the 2nd Law of thermodynamics • Nuclei can spontaneously transform to lower mass nuclei by one of five processes – α-decay – β-decay – positron emission – electron capture – spontaneous fission • Each process transforms a radioactive parent nucleus into one or more daughter nuclei.
  • 24. α-decay Emission of an α-particle or 4He nucleus (2 neutrons, 2 protons) α-decay The parent decreases its mass number 238 by 4, atomic number by 2. 92 U # pr ot ons 91 Example: 238U -> 234Th + 4He 234 90 Th Mass-energy budget: 23 23 238U 238.0508 amu 8 144 145 146 23 23 # neutrons s 7 7 7 7 2 2 2 2 on 234Th –234.0436 3 3 3 36 le 2 uc 4He 35 35 n –4.00260 2 23 # 4 4 mass defect 0.0046 amu AX → A−4Y + 4He = 0.0046 x 930.5 = 4.5 MeV Z Z −2 2 X is called the parent nucleus and Y is called the daughter nucleus This is the preferred decay mode of nuclei heavier than 209Bi with a proton/neutron ratio along the valley of stability
  • 25. β-decay Emission of an electron (and an antineutrino) during conversion of a neutron into a proton The mass number does not change, β-decay the atomic number increases by 1. # prot ons 87 38 Sr Example: 87Rb -> 87Sr + e– + ν 37 87 Rb Mass-energy budget: 49 50 87Rb 86.909186 amu 8 88 # neutrons n s eo 87 87 l 87Sr –86.908882 uc 86 86 86 86 n # mass defect 0.0003 amu = 0.0003 x 931 = 0.28 MeV The emission of the electron is from the nucleus The nucleus contains protons and neutrons The process occurs when a neutron is transformed into a proton and an electron Energy must be conserved This is the preferred decay mode of nuclei with excess neutrons compared to the valley of stability
  • 26. Beta Decay • Symbolically A A − Z X→ Y + e + ν Z +1 A A Z X→ Z−1Y + e + + ν – ν is the symbol for the neutrino – ν is the symbol for the antineutrino • To summarize, in beta decay, the following pairs of particles are emitted – An electron and an antineutrino – A positron and a neutrino
  • 27. β+-decay and electron capture Emission of a positron (and a neutrino) or capture of an inner-shell electron during conversion of a proton into a neutron Electron Capture The mass number does not change, # prot ons 19 K 40 the atomic number decreases by 1. 40 18 Ar 21 22 4 41 s Examples: 40K -> 40Ar + e+ + ν # neutrons n 4 4 eo 50V+ e– -> 50Ti + ν + γ 0 0 cl 39 39 39 39 nu # In positron emission, most energy is liberated by remote matter-antimatter annihilation. In electron capture, a gamma ray carries off the excess energy. These are the preferred decay modes of nuclei with excess protons compared to the valley of stability
  • 28. Gamma Decay • Gamma rays are given off when an excited nucleus “falls” to a lower energy state – Similar to the process of electron “jumps” to lower energy states and giving off photons • The excited nuclear states result from “jumps” made by a proton or neutron • The excited nuclear states may be the result of violent collision or more likely of an alpha or beta emission • Example of a decay sequence 12 B→12 C * + e − + ν 5 6 – The first decay is a beta emission 12 6 C*→12 C + γ 6 – The second step is a gamma emission
  • 29. Spontaneous Fission Certain very heavy nuclei, particular those with even mass numbers (e.g., 238U and 244Pu) can spontaneously fission. Odd-mass heavy nuclei typically only fission in response to neutron capture (e.g., 235U, 239Pu) 10 There is no fixed daughter product but rather a 235 statistical distribution of fission products with U+n two peaks (most fissions are asymmetric). 1 Because of the curvature of the valley of Fission Yield ( %) stability, most fission daughters have excess 0.1 neutrons and tend to be radioactive (β-decays). 0.01 You can see why some of the isotopes people worry about in nuclear fallout are 91Sr and 137Cs. 0.001 Recoil of daughter products leave fission tracks of damage in crystals about 10 µm long, which only heal above ~300°C and are therefore useful 0.0001 for low-temperature thermochronometry. 80 100 120 140 160 180 Atomic Mass (amu)
  • 30. Natural Radioactivity • Classification of nuclei – Unstable nuclei found in nature • Give rise to natural radioactivity – Nuclei produced in the laboratory through nuclear reactions • Exhibit artificial radioactivity • Three series of natural radioactivity exist – Uranium-235 (4n + 3 series) Uranium- ends at Pb-207 Pb- – Uranium-238 (4n + 2 series) Uranium- ends at Pb-206 Pb- – Thorium-232 (4n series) Thorium- ends at Pb-208 Pb- 4n + 1 series starting from Neptunium-237 is extinct Neptunium- ends at Bi-209 Bi-
  • 31.
  • 32. Uses of Radioactivity • Carbon Dating – Beta decay of 14C is used to date organic samples – The ratio of 14C to 12C is used • Smoke detectors – Ionization type smoke detectors use a radioactive source to ionize the air in a chamber – A voltage and current are maintained – When smoke enters the chamber, the current is decreased and the alarm sounds • Radon pollution – Radon is an inert, gaseous element associated with the decay of radium – It is present in uranium mines and in certain types of rocks, bricks, etc that may be used in home building – May also come from the ground itself
  • 33. Nuclear Reactions • Structure of nuclei can be changed by bombarding them with energetic particles – The changes are called nuclear reactions • As with nuclear decays, the atomic numbers and mass numbers must balance on both sides of the equation
  • 34. Which of the following are possible reactions? (a) and (b). Reactions (a) and (b) both conserve total charge and total mass number as required. Reaction (c) violates conservation of mass number with the sum of the mass numbers being 240 before reaction and being only 223 after reaction.
  • 35. Determine the product of the reaction 7 Li + 4 He → X ? + n 3 2 Y What is the Q value of the reaction? In order to balance the reaction, the total amount of Given: nucleons (sum of A-numbers) must be the same on both sides. Same for the Z-number. reaction Number of nucleons (A): 7 + 4 = X + 1 ⇒ X = 10 Number of protons (Z): 3+ 2 = Y + 0 ⇒ Y = 5 Thus, it is B, i.e. 7 Find: 3 Li + 2 He → 10 B + 01n 4 5 Q=? The Q-value is then ( ) Q = ( ∆m ) c 2 = m7 Li + m 4 He − m10 B − mn c 2 = −2.79MeV
  • 36. Processes of Nuclear Energy • Fission – A nucleus of large mass number splits into two smaller nuclei • Fusion – Two light nuclei fuse to form a heavier nucleus • Large amounts of energy are released in either case
  • 37. Nuclear Fission • A heavy nucleus splits into two smaller nuclei • The total mass of the products is less than the original mass of the heavy nucleus • First observed in 1939 by Otto Hahn and Fritz Strassman following basic studies by Fermi • Lisa Meitner and Otto Frisch soon explained what had happened • Fission of 235U by a slow (low energy) neutron 1 0 n+ 235 U→236 U* → X + Y + neutrons 92 92 – 236U* is an intermediate, short-lived state – X and Y are called fission fragments • Many combinations of X and Y satisfy the requirements of conservation of energy and charge
  • 38. Sequence of Events in Fission • The 235U nucleus captures a thermal (slow-moving) neutron • This capture results in the formation of 236U*, and the excess energy of this nucleus causes it to undergo violent oscillations • The 236U* nucleus becomes highly elongated, and the force of repulsion between the protons tends to increase the distortion • The nucleus splits into two fragments, emitting several neutrons in the process
  • 39. Natural (radioactive) decay (fission) Neutron-induced fission • Many heavy elements (eg. Uranium) decay (slowly) into lighter elements (natural decay) • However, this fission can also be induced by an incoming neutron. • Fission reaction release a lot of energy. • Fission often creates new neutrons!!
  • 40. Fission and chain reaction Fission releases neutrons … … these neutrons cause new fission reactions in surrounding Uranium … … creating more neutrons … … chain reaction
  • 41. Energy in a Fission Process • Binding energy for heavy nuclei is about 7.2 MeV per nucleon • Binding energy for intermediate nuclei is about 8.1 MeV per nucleon • Therefore, the fission fragments have less mass than the nucleons in the original nuclei • This decrease in mass per nucleon appears as released energy in the fission event • An estimate of the energy released – Assume a total of 236 nucleons – Releases about 0.9 MeV per nucleon • 8.1 MeV – 7.2 MeV – Total energy released is about 212 Mev • This is very large compared to the amount of energy released in chemical processes
  • 42. Chain Reaction • Neutrons are emitted when 235U undergoes fission • These neutrons are then available to trigger fission in other nuclei • This process is called a chain reaction –If uncontrolled, a violent explosion can occur –The principle behind the nuclear bomb, where 1 g of U can release energy equal to about 20000 tons of TNT
  • 43.
  • 44. Carbon dating is a variety of radioactive dating which is applicable only to matter which was once living and presumed to be in equilibrium with the atmosphere, taking in carbon dioxide from the air for photosynthesis. Cosmic ray protons blast nuclei in the upper atmosphere, producing neutrons which in turn bombard nitrogen, the major constituent of the atmosphere . This neutron bombardment produces the radioactive isotope carbon-14. carbon- The radioactive carbon-14 combines with carbon- oxygen to form carbon dioxide and is incorporated into the cycle of living things. The carbon-14 forms at a rate which appears to be constant, so that by carbon- measuring the radioactive emissions from once-living matter and once- comparing its activity with the equilibrium level of living things, a measurement of the time elapsed can be made. made.
  • 45.
  • 46. Radioactive Dating Radioactive half-life of a given radioisotope is not affected half- by temperature, physical or chemical state, or any other influence of the environment outside the nucleus. nucleus. Radioactive samples continue to decay at a predictable rate. rate. This makes several types of radioactive dating feasible. feasible. There are two main uncertainties in the dating process: process: 1. What was the amount of the daughter element when the rocks were formed? 2. Have any of the parent or daughter atoms been added or removed during the process?
  • 47. Balancing Nuclear Decay Equations 238 --------> 90Th234 + 2He4 92U Proton and nucleon counts ----------------------------------------- must Subscripts are "proton be the same: numbers" 92 = 90 + 2 Superscripts are "nucleon 238 = 234 + 4 numbers" Distribution of Energy in Alpha Emission ∆m = 0.0046 u E = 0.0046 x 931 = 4.3 MeV ----------------------- Which particle has the greater kinetic energy?
  • 48. Energy Distribution in Radioactive Decay Conservation of momentum: Mv = mV (2) Rearranging, we get Ratio of kinetic energies: V/v = M/m (3) KEm / KEM: (1/2 mV2) / (1/2 Mv2) Substitute (3) into (1): = (m/M)(V2/v2) Ratio = (m/M)(M/m)2 (4) = M/m = (m/M)(V/v)2 (1) Smaller mass gets more energy
  • 49. Smoke Detector Alpha particles emitted from source ionize the air and provide the charge necessary to conduct current through the air. Charges stick to the heavy smoke particles and the current drops, causing the alarm to buzz.
  • 50. Wavelength of a Gamma Ray What is the wavelength of a 1 MeV gamma ray? Using the 1234 rule: λ = 1234 eV-nm / E = 1234 eV-nm / 1 x 106 eV = 1.23 x 10-6 nm = 1.23 x 10-15 m = 1.23 fermi This gamma radiation is extraordinarily harmful to humans and other living things since its wavelength is comparable to the diameter of a nucleon; transmutations are likely when such radiation reaches nuclei.
  • 51. Measuring the Age of Organic Matter A German tourist in the Italian Alps discovered the remains of the "Iceman" in the ice of a glacier in 1991
  • 52. Calculating the Iceman's Age The current activity per gram of carbon is 0.23 Bq per gram. Iceman's carbon showed 0.121, or about half what it would be if the Iceman were alive. Since the half-life of carbon-14 is about 5700 years, the Iceman's remains are about 5700 years old.
  • 53. The Shroud of Turin Since the1354 AD, a yellowing piece of linen 14-ft long has been stored in Turin, Italy. It bears the image of a person who seems to be wearing a crown of thorns. Could the Shroud of Turin have been the burial cloth of a person who died two thousand years ago?
  • 54. Dating of the Shroud of Turin At the time of the public exhibition of the shroud in 1354, a bishop declared it to be fraud. Most religious bodies take a neutral stance on the shroud's authenticity. In 1988, three laboratories were given four pieces of fabric; three were control pieces similar in appearance, and one was a piece from the shroud. The labs all agreed that the shroud was 608- 728 years old, which means that it came into existence sometime between1260 and 1380 AD, a time span which includes the year the shroud was first shown to the public.
  • 55.
  • 56. In 1934, Irene and Frederic Joliot-Curie discover the artificial radioactivity, making a great step toward the use and the control of radioactivity. For this discovery, they received the Nobel price of chemistry in 1935. They were the first to show that mankind could build under control some news radioactive nuclei. By shooting an aluminium sheet with alpha particles (helium nuclei), they were able to make radioactive phosphorus, a new isotope of the stable phosphorus that was never observed in nature. They demonstrated it by chemically isolating the phosphorus produced before it becomes silicium by its radioactivity. The creation an unnatural radioactive element is what we call the creation of artificial radioactivity.
  • 57. Positrons In 1930 Paul Dirac calculated the existence of electrons with positive charges. These "anti-electrons" would be expected to have the same mass as the electron, but opposite electric charge. In 1932 Carl Anderson was examining tracks produced by cosmic rays in a cloud chamber. One particle made a track like an electron, but the curvature of its path in the magnetic field showed that it was positively charged. He named this positive electron a positron. We know that the particle Anderson detected was the anti-electron predicted by Dirac. An electron and positron annihilate one another producing two gamma rays (β- + β+® γ + γ). Irene Curie-Joliot (1897-1956), the daughter of Marie & Pierre, and her husband Frédéric Joliot prepared phosphorus-30 by bombarding aluminum with alpha particles.. Phosphorus-30 does not occur in nature and is radioactive. This was the first artificial radioactive substance ever prepared. Aside from the three natural types of radioactivity (α,β,γ), artificially made nuclei can undergo: Both positron emission and electron capture tend to occur for radioactive isotopes that need to convert a proton into a neutron. The Curie-Joliots were awarded the Nobel Prize in Chemistry in 1935 for discovering artificial radioactivity.
  • 58. Chemical Reaction Nuclear reaction Atoms are rearranged by Elements (or isotopes of the breaking and formation the same elements) are of chemical bonds converted from one to another Only electrons in atomic Protons, neutrons, orbitals are involved in the electrons and other breaking and forming of elementary particles may bonds be involved Absorption or release of Absorption or release of small amounts of energy tremendous amounts of energy Rates of reactions are Rates of reactions are NOT affected by temperature, affected by temperature, pressure, concentration pressure, concentration and catalysts and catalysts
  • 59.
  • 60.
  • 61.
  • 62. Producing Radioactive Isotopes: TRANSMUTATION is the process of changing one element into another. A stable atom can be bombarded with fast-moving a particles, protons, or neutrons. A radioactive isotope is called a RADIOISOTOPE.
  • 63. Half-Life: The HALF-LIFE of a radioisotope is the amount of time it takes for half of the sample to decay. A DECAY CURVE is a graph of the decay of a radioisotope (amount vs. time). Some radioisotopes have long half-lives. For other radioisotopes, the half-life can be short.
  • 64. Radioactivity Penetrating power of different forms of radiation: The image cannot be display ed. Your computer may not hav e enough memory to open the image, or the image may hav e been corrupted. Restart y our computer, and then open the file again. If the red x still appears, y ou may hav e to delete the image and then insert it again.
  • 65.
  • 66. Chemical reactions CH4 + 2O2 CO2 + 2H2O + some energy One molecule or element reacts with another one. Get a rearrangement (different combination) of elements. No new elements are created (C, H, O before and C, H, O after)
  • 67. – a nuclear reaction As an example, when uranium 238 emits an alpha particle, it loses 2 protons and 2 neutrons. 238 234 4 92 U −− > 90 Th + He 2 – Nuclear reactions must balance just like any other chemical reaction, but we must also be aware of balancing protons and neutrons
  • 68. Nuclear Reactions Nuclear reactions occur when a nucleus is struck by a particle or other nucleus. n+ 14 N → 1 4C + p 7 6 4H e+ 14 N → 1 7O 1 + 1H 2 7 8 •The second reaction was observed by Rutherford and is the first nuclear reaction observed. •It should be noted that in the first reaction, the neutron can enter the nucleus with very little energy but the 4He is repelled by the nucleus and thus has to overcome the Coulomb barrier in order to come close enough to cause a nuclear reaction.
  • 69. Parameter Chemical Reaction Nuclear Reaction Reaction H + H → H2 H + H → 2H (D) Mechanism Interaction of Interaction of nuclei electrons Species Do not change New species form Energy ∆H = 104.2 kCal/mol Q = 33.47 x 106 change 1.73 x 10-22 kCal.atom kCal/mol (4.5 eV/atom) 5.56 x 10-17 kCal/atom (1.452 MeV/atom) Conservatio Maintained Maintained n of mass and energy
  • 70.
  • 71.
  • 72.
  • 73. Radioactivity in Nature Our world is radioactive and has been since it was created Over 60 radionuclides (radioactive isotopes) can be found in nature. Radionuclides are found in air, water, food and soil Radionuclides are even found in our body Everyday we ingest and inhale radionuclides In addition to radionuclides found in nature We have Cosmogenic radionuclides: formed as a result of cosmic ray interactions Man-made radionuclides Number of radionuclides > 2000 Number of elements: 111
  • 74. Natural Radioactivity in soil How much natural radioactivity is found in a volume of soil that is 2.6 sq KM, 30 cm deep (total volume = 7.894 x 105 m3) Every day, we ingest/inhale nuclides in our air we breath, in the food we eat and the water we drink. Radioactivity is common in the rocks and soil that makes up our planet, in the water and oceans, and even in our building materials and homes. It is just everywhere. There is no where on Earth that you can get away from Natural Radioactivity. Radioactive elements are often called radioactive isotopes or radionuclides. There are over 1,500 different radioactive nuclides
  • 75. Natural Radioactivity in Food Food 40K (pCi/kg) 226Ra (pCi/kg) Banana 3,520 1 Carrot 3,400 0.6 - 2 White potatoes 3,400 1 – 2.5 Beer 390 ---- Red meat 3,000 0.5 Drinking water ----- 0 – 0.17 Handbook of radiation measurement and protection
  • 76. Radionuclides in building materials Material Uranium (µg/g) (µg/g) Thorium (µg/g) (µg/g) Potassium (µg/g) (µg/g) Granite 4.7 2 4 Sandstone 0.45 1.7 1.4 Cement 3.4 5.1 0.8 Limestone 2.3 2.1 0.3 concrete Sandstone 0.8 2.1 1.3 concrete Dry 1 3 0.3 wallboard Byproduct 13.7 16.1 0.02 gypsum Natural 1.1 1.8 0.5 gypsum Wood - - 11.3 Clay brick 8.2 10.8 2.3
  • 77. Some radionuclides in human body Nuclide Total mass Total Daily of nuclide activity intake in the body Uranium 90 µg 1.1 Bq 1.9 µg Thorium 30 µg 0.11 Bq 3 µg Potassium- 17 mg 4.4 kBq 0.39 mg 40 Radium 31 pg 1.1 Bq 2.3 pg Carbon-14 95 µg 15 kBq 1.8 µg Tritium 0.06 pg 23 Bq 0.003 pg