Title: Nuclear Energy
1Chapter 30
- Nuclear Energy
- and
- Elementary Particles
2Processes 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
3Nuclear 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
4Fission Equation
- Fission of 235U by a slow (low energy) neutron
- 236U is an intermediate, short-lived state
- Lasts about 10-12 s
- X and Y are called fission fragments
- Many combinations of X and Y satisfy the
requirements of conservation of energy and charge
5More About Fission of 235U
- About 90 different daughter nuclei can be formed
- Several neutrons are also produced in each
fission event - Example
- The fission fragments and the neutrons have a
great deal of KE following the event
6Sequence 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
7Sequence of Events in Fission Diagram
8Energy in a Fission Process
- Binding energy for heavy nuclei is about 7.2 MeV
per nucleon - Binding energy for intermediate nuclei is about
8.2 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
9Energy, cont
- An estimate of the energy released
- Assume a total of 240 nucleons
- Releases about 1 MeV per nucleon
- 8.2 MeV 7.2 MeV
- Total energy released is about 240 Mev
- This is very large compared to the amount of
energy released in chemical processes
10Chain 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 kg
of U can release energy equal to about 20 000
tons of TNT
11Chain Reaction Diagram
12Nuclear Reactor
- A nuclear reactor is a system designed to
maintain a self-sustained chain reaction - The reproduction constant, K, is defined as the
average number of neutrons from each fission
event that will cause another fission event - The maximum value of K from uranium fission is
2.5 - In practice, K is less than this
- A self-sustained reaction has K 1
13K Values
- When K 1, the reactor is said to be critical
- The chain reaction is self-sustaining
- When K lt 1, the reactor is said to be subcritical
- The reaction dies out
- When K gt 1, the reactor is said to be
supercritical - A run-away chain reaction occurs
14Basic Reactor Design
- Fuel elements consist of enriched uranium
- The moderator material helps to slow down the
neutrons - The control rods absorb neutrons
15Reactor Design Considerations Neutron Leakage
- Loss (or leakage) of neutrons from the core
- These are not available to cause fission events
- The fraction lost is a function of the ratio of
surface area to volume - Small reactors have larger percentages lost
- If too many neutrons are lost, the reactor will
not be able to operate
16Reactor Design Considerations Neutron Energies
- Slow neutrons are more likely to cause fission
events - Most neutrons released in the fission process
have energies of about 2 MeV - In order to sustain the chain reaction, the
neutrons must be slowed down - A moderator surrounds the fuel
- Collisions with the atoms of the moderator slow
the neutrons down as some kinetic energy is
transferred - Most modern reactors use heavy water as the
moderator
17Reactor Design Considerations Neutron Capture
- Neutrons may be captured by nuclei that do not
undergo fission - Most commonly, neutrons are captured by 238U
- The possibility of 238U capture is lower with
slow neutrons - The moderator helps minimize the capture of
neutrons by 238U
18Reactor Design Considerations Power Level
Control
- A method of control is needed to adjust the value
of K to near 1 - If K gt1, the heat produced in the runaway
reaction can melt the reactor - Control rods are inserted into the core to
control the power level - Control rods are made of materials that are very
efficient at absorbing neutrons - Cadmium is an example
- By adjusting the number and position of the
control rods, various power levels can be
maintained
19Pressurized Water Reactor Diagram
20Pressurized Water Reactor Operation Notes
- This type of reactor is commonly used in electric
power plants in the US - Fission events in the reactor core supply heat to
the water contained in the primary system - The primary system is a closed system
- This water is maintained at a high pressure to
keep it from boiling - The hot water is pumped through a heat exchanger
21Pressurized Water Reactor Operation Notes, cont
- The heat is transferred to the water contained in
a secondary system - This water is converted into steam
- The steam is used to drive a turbine-generator to
create electric power - The water in the secondary system is isolated
from the water in the primary system - This prevents contamination of the secondary
water and steam by the radioactive nuclei in the
core
22Reactor Safety Containment
- Radiation exposure, and its potential health
risks, are controlled by three levels of
containment - Reactor vessel
- Contains the fuel and radioactive fission
products - Reactor building
- Acts as a second containment structure should the
reactor vessel rupture - Location
- Reactor facilities are in remote locations
23Reactor Safety Loss of Water
- If the water flow was interrupted, the nuclear
reaction could stop immediately - However, there could be enough residual heat to
build up and melt the fuel elements - The molten core could also melt through the
containment vessel and into the ground - Called the China Syndrome
- If the molten core struck ground water, a steam
explosion could spread the radioactive material
to areas surrounding the power plant - Reactors are built with emergency cooling systems
that automatically flood the core if coolant is
lost
24Reactor Safety Radioactive Materials
- Disposal of waste material
- Waste material contains long-lived, highly
radioactive isotopes - Must be stored over long periods in ways that
protect the environment - Present solution is sealing the waste in
waterproof containers and burying them in deep
salt mines - Transportation of fuel and wastes
- Accidents during transportation could expose the
public to harmful levels of radiation - Department of Energy requires crash tests and
manufacturers must demonstrate that their
containers will not rupture during high speed
collisions
25Nuclear Fusion
- Nuclear fusion occurs when two light nuclei
combine to form a heavier nucleus - The mass of the final nucleus is less than the
masses of the original nuclei - This loss of mass is accompanied by a release of
energy
26Fusion in the Sun
- All stars generate energy through fusion
- The Sun, along with about 90 of other stars,
fuses hydrogen - Some stars fuse heavier elements
- Two conditions must be met before fusion can
occur in a star - The temperature must be high enough
- The density of the nuclei must be high enough to
ensure a high rate of collisions
27Proton-Proton Cycle
- The proton-proton cycle is a series of three
nuclear reactions believed to operate in the Sun - Energy liberated is primarily in the form of
gamma rays, positrons and neutrinos - 21H is deuterium, and may be written as 21D
28Fusion Reactors
- Energy releasing fusion reactions are called
thermonuclear fusion reactions - A great deal of effort is being directed at
developing a sustained and controllable
thermonuclear reaction - A thermonuclear reactor that can deliver a net
power output over a reasonable time interval is
not yet a reality
29Advantages of a Fusion Reactor
- Inexpensive fuel source
- Water is the ultimate fuel source
- If deuterium is used as fuel, 0.06 g of it can be
extracted from 1 gal of water for about 4 cents - Comparatively few radioactive by-products are
formed
30Considerations for a Fusion Reactor
- The proton-proton cycle is not feasible for a
fusion reactor - The high temperature and density required are not
suitable for a fusion reactor - The most promising reactions involve deuterium
(D) and tritium (T)
31Considerations for a Fusion Reactor, cont
- Deuterium is available in almost unlimited
quantities in water and is inexpensive to extract - Tritium is radioactive and must be produced
artificially - The Coulomb repulsion between two charged nuclei
must be overcome before they can fuse
32Requirements for Successful Thermonuclear Reactor
- High temperature ? 108 K
- Needed to give nuclei enough energy to overcome
Coulomb forces - At these temperatures, the atoms are ionized,
forming a plasma - Plasma ion density, n
- The number of ions present
- Plasma confinement time, ?
- The time the interacting ions are maintained at a
temperature equal to or greater than that
required for the reaction to proceed successfully
33Lawsons Criteria
- Lawsons criteria states that a net power output
in a fusion reactor is possible under the
following conditions - n? ? 1014 s/cm3 for deuterium-tritium
- n? ? 1016 s/cm3 for deuterium-deuterium
- The plasma confinement time is still a problem
34Magnetic Confinement
- One magnetic confinement device is called a
tokamak - Two magnetic fields confine the plasma inside the
doughnut - A strong magnetic field is produced in the
windings - A weak magnetic field is produced in the toroid
- The field lines are helical, spiral around the
plasma, and prevent it from touching the wall of
the vacuum chamber
35Some Fusion Reactors
- TFTR
- Tokamak Fusion Test Reactor
- Princeton
- Central ion temperature of 510 million degrees C
- The nt values were close to Lawson criteria
- JET
- Tokamak at Abington, England
- 6 x 1017 DT fusions per second were achieved
36Current Research in Fusion Reactors
- NSTX National Spherical Torus Experiment
- Produces a spherical plasma with a hole in the
center - Is able to confine the plasma with a high
pressure - ITER International Thermonuclear Experimental
Reactor - An international collaboration involving four
major fusion programs is working on building this
reactor - It will address remaining technological and
scientific issues concerning the feasibility of
fusion power
37Other Methods of Creating Fusion Events
- Inertial laser confinement
- Fuel is put into the form of a small pellet
- It is collapsed by ultrahigh power lasers
- Inertial electrostatic confinement
- Positively charged particles are rapidly
attracted toward an negatively charged grid - Some of the positive particles collide and fuse
38Elementary Particles
- Atoms
- From the Greek for indivisible
- Were once thought to the elementary particles
- Atom constituents
- Proton, neutron, and electron
- Were viewed as elementary because they are very
stable
39Discovery of New Particles
- New particles
- Beginning in 1937, many new particles were
discovered in experiments involving high-energy
collisions - Characteristically unstable with short lifetimes
- Over 300 have been cataloged
- A pattern was needed to understand all these new
particles
40Quarks
- Physicists recognize that most particles are made
up of quarks - Exceptions include photons, electrons and a few
others - The quark model has reduced the array of
particles to a manageable few - The quark model has successfully predicted new
quark combinations that were subsequently found
in many experiments
41Fundamental Forces
- All particles in nature are subject to four
fundamental forces - Strong force
- Electromagnetic force
- Weak force
- Gravitational force
42Strong Force
- Is responsible for the tight binding of the
quarks to form neutrons and protons - Also responsible for the nuclear force binding
the neutrons and the protons together in the
nucleus - Strongest of all the fundamental forces
- Very short-ranged
- Less than 10-15 m
43Electromagnetic Force
- Is responsible for the binding of atoms and
molecules - About 10-2 times the strength of the strong force
- A long-range force that decreases in strength as
the inverse square of the separation between
interacting particles
44Weak Force
- Is responsible for instability in certain nuclei
- Is responsible for beta decay
- A short-ranged force
- Its strength is about 10-6 times that of the
strong force - Scientists now believe the weak and
electromagnetic forces are two manifestations of
a single force, the electroweak force
45Gravitational Force
- A familiar force that holds the planets, stars
and galaxies together - Its effect on elementary particles is negligible
- A long-range force
- It is about 10-43 times the strength of the
strong force - Weakest of the four fundamental forces
46Explanation of Forces
- Forces between particles are often described in
terms of the actions of field particles or quanta - For electromagnetic force, the photon is the
field particle - The electromagnetic force is mediated, or
carried, by photons
47Forces and Mediating Particles (also see table
30.1)
Interaction (force) Mediating Field Particle
Strong Gluon
Electromagnetic Photon
Weak W? and Z0
Gravitational Gravitons
48Paul Adrien Maurice Dirac
- 1902 1984
- Instrumental in understanding antimatter
- Aided in the unification of quantum mechanics and
relativity - Contributions to quantum physics and cosmology
- Nobel Prize in 1933
49Antiparticles
- For every particle, there is an antiparticle
- From Diracs version of quantum mechanics that
incorporated special relativity - An antiparticle has the same mass as the
particle, but the opposite charge - The positron (electrons antiparticle) was
discovered by Anderson in 1932 - Since then, it has been observed in numerous
experiments - Practically every known elementary particle has a
distinct antiparticle - Exceptions the photon and the neutral pi
particles are their own antiparticles
50Hideki Yukawa
- 1907 1981
- Predicted the existence of mesons
- Nobel Prize in 1949
51Mesons
- Developed from a theory to explain the strong
nuclear force - Background notes
- Two atoms can form a covalent bond by the
exchange of electrons - In electromagnetic interactions, charged
particles interact by exchanging a photon - A new particle was proposed to explain the strong
nuclear force - It was called a meson
52Mesons, cont
- The proposed particle would have a mass about 200
times that of the electron - Efforts to establish the existence of the
particle were done by studying cosmic rays in the
1930s - Actually discovered multiple particles
- Pi meson (called pion)
- Muon
- Plays no role in the strong interaction
53Pion
- There are three varieties of pions
- ? and ?-
- Mass of 139.6 MeV/c2
- ?0
- Mass of 135.0 MeV/c2
- Pions are very unstable
- ?- decays into a muon and an antineutrino with a
lifetime of about 2.6 x10-8 s
54Richard Feynmann
- 1918 1988
- Contributions include
- Work on the Manhattan Project
- Invention of diagrams to represent particle
interactions - Theory of weak interactions
- Reformation of quantum mechanics
- Superfluid helium
- Challenger investigation
- Shared Nobel Prize in 1965
55Feynman Diagrams
- A graphical representation of the interaction
between two particles - Feynman diagrams are named for Richard Feynman
who developed them
56Feynman Diagram Two Electrons
- The photon is the field particle that mediates
the interaction - The photon transfers energy and momentum from one
electron to the other - The photon is called a virtual photon
- It can never be detected directly because it is
absorbed by the second electron very shortly
after being emitted by the first electron
57The Virtual Photon
- The existence of the virtual photon would be
expected to violate the law of conservation of
energy - But, due to the uncertainty principle and its
very short lifetime, the photons excess energy
is less than the uncertainty in its energy - The virtual photon can exist for short time
intervals, such that ?E ?t ? h
58Feynman Diagram Proton and Neutron
- The exchange is via the nuclear force
- The existence of the pion is allowed in spite of
conservation of energy if this energy is
surrendered in a short enough time - Analysis predicts the rest energy of the pion to
be 130 MeV / c2 - This is in close agreement with experimental
results
59Classification of Particles
- Two broad categories
- Classified by interactions
- Hadrons interact through strong force
- Leptons interact through weak force
60Hadrons
- Interact through the strong force
- Two subclasses
- Mesons
- Decay finally into electrons, positrons,
neutrinos and photons - Integer spins
- Baryons
- Masses equal to or greater than a proton
- Noninteger spin values
- Decay into end products that include a proton
(except for the proton) - Composed of quarks
61Leptons
- Interact through weak force
- All have spin of ½
- Leptons appear truly elementary
- No substructure
- Point-like particles
- Scientists currently believe only six leptons
exist, along with their antiparticles - Electron and electron neutrino
- Muon and its neutrino
- Tau and its neutrino
62Conservation Laws
- A number of conservation laws are important in
the study of elementary particles - Two new ones are
- Conservation of Baryon Number
- Conservation of Lepton Number
63Conservation of Baryon Number
- Whenever a baryon is created in a reaction or a
decay, an antibaryon is also created - B is the Baryon Number
- B 1 for baryons
- B -1 for antibaryons
- B 0 for all other particles
- The sum of the baryon numbers before a reaction
or a decay must equal the sum of baryon numbers
after the process
64Conservation of Lepton Number
- There are three conservation laws, one for each
variety of lepton - Law of Conservation of Electron-Lepton Number
states that the sum of electron-lepton numbers
before a reaction or a decay must equal the sum
of the electron-lepton number after the process
65Conservation of Lepton Number, cont
- Assigning electron-lepton numbers
- Le 1 for the electron and the electron neutrino
- Le -1 for the positron and the electron
antineutrino - Le 0 for all other particles
- Similarly, when a process involves muons,
muon-lepton number must be conserved and when a
process involves tau particles, tau-lepton
numbers must be conserved - Muon- and tau-lepton numbers are assigned
similarly to electron-lepton numbers
66Strange Particles
- Some particles discovered in the 1950s were
found to exhibit unusual properties in their
production and decay and were given the name
strange particles - Peculiar features include
- Always produced in pairs
- Although produced by the strong interaction, they
do not decay into particles that interact via the
strong interaction, but instead into particles
that interact via weak interactions - They decay much more slowly than particles
decaying via strong interactions
67Strangeness
- To explain these unusual properties, a new law,
conservation of strangeness, was introduced - Also needed a new quantum number, S
- The Law of Conservation of Strangeness states
that the sum of strangeness numbers before a
reaction or a decay must equal the sum of the
strangeness numbers after the process - Strong and electromagnetic interactions obey the
law of conservation of strangeness, but the weak
interactions do not
68Bubble ChamberExample
- The dashed lines represent neutral particles
- At the bottom,
- ?- p ? ?0 K0
- Then ?0 ? ?- p and
- K0 ? ? µ- ?µ
69Murray Gell-Mann
- 1929
- Worked on theoretical studies of subatomic
particles - Nobel Prize in 1969
70The Eightfold Way
- Many classification schemes have been proposed to
group particles into families - These schemes are based on spin, baryon number,
strangeness, etc. - The eightfold way is a symmetric pattern proposed
by Gell-Mann and Neeman - There are many symmetrical patterns that can be
developed - The patterns of the eightfold way have much in
common with the periodic table - Including predicting missing particles
71An Eightfold Way for Baryons
- A hexagonal pattern for the eight spin ½ baryons
- Strangeness vs. charge is plotted on a sloping
coordinate system - Six of the baryons form a hexagon with the other
two particles at its center
72An Eightfold Way for Mesons
- The mesons with spins of 0 can be plotted
- Strangeness vs. charge on a sloping coordinate
system is plotted - A hexagonal pattern emerges
- The particles and their antiparticles are on
opposite sides on the perimeter of the hexagon - The remaining three mesons are at the center
73Quarks
- Hadrons are complex particles with size and
structure - Hadrons decay into other hadrons
- There are many different hadrons
- Quarks are proposed as the elementary particles
that constitute the hadrons - Originally proposed independently by Gell-Mann
and Zweig
74Original Quark Model
- Three types
- u up
- d down
- s originally sideways, now strange
- Associated with each quark is an antiquark
- The antiquark has opposite charge, baryon number
and strangeness
75Original Quark Model, cont
- Quarks have fractional electrical charges
- 1/3 e and 2/3 e
- All ordinary matter consists of just u and d
quarks
76Original Quark Model Rules
- All the hadrons at the time of the original
proposal were explained by three rules - Mesons consist of one quark and one antiquark
- This gives them a baryon number of 0
- Baryons consist of three quarks
- Antibaryons consist of three antiquarks
77Additions to the Original Quark Model Charm
- Another quark was needed to account for some
discrepancies between predictions of the model
and experimental results - Charm would be conserved in strong and
electromagnetic interactions, but not in weak
interactions - In 1974, a new meson, the J/? was discovered that
was shown to be a charm quark and charm antiquark
pair
78More Additions Top and Bottom
- Discovery led to the need for a more elaborate
quark model - This need led to the proposal of two new quarks
- t top (or truth)
- b bottom (or beauty)
- Added quantum numbers of topness and bottomness
- Verification
- b quark was found in a Y meson in 1977
- t quark was found in 1995 at Fermilab
79Numbers of Particles
- At the present, physicists believe the building
blocks of matter are complete - Six quarks with their antiparticles
- Six leptons with their antiparticles
- See table 30.5
80Color
- Isolated quarks
- Physicist now believe that quarks are permanently
confined inside ordinary particles - No isolated quarks have been observed
experimentally - The explanation is a force called the color force
- Color force increases with increasing distance
- This prevents the quarks from becoming isolated
particles
81Colored Quarks
- Color charge occurs in red, blue, or green
- Antiquarks have colors of antired, antiblue, or
antigreen - Color obeys the Exclusion Principle
- A combination of quarks of each color produces
white (or colorless) - Baryons and mesons are always colorless
82Quark Structure of a Meson
- A green quark is attracted to an antigreen quark
- The quark antiquark pair forms a meson
- The resulting meson is colorless
83Quark Structure of a Baryon
- Quarks of different colors attract each other
- The quark triplet forms a baryon
- The baryon is colorless
84Quantum Chromodynamics (QCD)
- QCD gave a new theory of how quarks interact with
each other by means of color charge - The strong force between quarks is often called
the color force - The strong force between quarks is carried by
gluons - Gluons are massless particles
- There are 8 gluons, all with color charge
- When a quark emits or absorbs a gluon, its color
changes
85More About Color Charge
- Like colors repel and opposite colors attract
- Different colors also attract, but not as
strongly as a color and its anticolor - The color force between color-neutral hadrons is
negligible at large separations - The strong color force between the constituent
quarks does not exactly cancel at small
separations - This residual strong force is the nuclear force
that binds the protons and neutrons to form nuclei
86QCD Explanation of a Neutron-Proton Interaction
- Each quark within the proton and neutron is
continually emitting and absorbing virtual gluons - Also creating and annihilating virtual
quark-antiquark pairs - When close enough, these virtual gluons and
quarks can be exchanged, producing the strong
force
87Weak Interaction
- The weak interaction is an extremely short-ranged
force - This short range implies the mediating particles
are very massive - The weak interaction is responsible for the decay
of c, s, b, and t quarks into u and d quarks - Also responsible for the decay of ? and ? leptons
into electrons
88Weak Interaction, cont
- The weak interaction is very important because it
governs the stability of the basic particles of
matter - The weak interaction is not symmetrical
- Not symmetrical under mirror reflection
- Not symmetrical under charge exchange
89Electroweak Theory
- The electroweak theory unifies electromagnetic
and weak interactions - The theory postulates that the weak and
electromagnetic interactions have the strength at
very high particle energies - Viewed as two different manifestations of a
single interaction
90The Standard Model
- A combination of the electroweak theory and QCD
form the standard model - Essential ingredients of the standard model
- The strong force, mediated by gluons, holds the
quarks together to form composite particles - Leptons participate only in electromagnetic and
weak interactions - The electromagnetic force is mediated by photons
- The weak force is mediated by W and Z bosons
91The Standard Model Chart
92Mediator Masses
- Why does the photon have no mass while the W and
Z bosons do have mass? - Not answered by the Standard Model
- The difference in behavior between low and high
energies is called symmetry breaking - The Higgs boson has been proposed to account for
the masses - Large colliders are necessary to achieve the
energy needed to find the Higgs boson
93Grand Unification Theory (GUT)
- Builds on the success of the electroweak theory
- Attempted to combine electroweak and strong
interactions - One version considers leptons and quarks as
members of the same family - They are able to change into each other by
exchanging an appropriate particle
94The Big Bang
- This theory of cosmology states that during the
first few minutes after the creation of the
universe all four interactions were unified - All matter was contained in a quark soup
- As time increased and temperature decreased, the
forces broke apart - Starting as a radiation dominated universe, as
the universe cooled it changed to a matter
dominated universe
95A Brief History of the Universe
96George Gamow
- 1904 1968
- Among the first to look at the first half hour of
the universe - Predicted
- Abundances of hydrogen and helium
- Radiation should still be present and have an
apparent temperature of about 5 K
97Cosmic Background Radiation (CBR)
- CBR represents the cosmic glow left over from
the Big Bang - The radiation had equal strengths in all
directions - The curve fits a blackbody at ?3K
- There are small irregularities that allowed for
the formation of galaxies and other objects
98Connection Between Particle Physics and Cosmology
- Observations of events that occur when two
particles collide in an accelerator are essential
to understanding the early moments of cosmic
history - There are many common goals between the two fields
99Some Questions
- Why so little antimatter in the Universe?
- Do neutrinos have mass?
- How do they contribute to the dark mass in the
universe? - Explanation of why the expansion of the universe
is accelerating? - Is there a kind of antigravity force acting
between widely separated galaxies? - Is it possible to unify electroweak and strong
forces? - Why do quark and leptons form similar but
distinct families?
100More Questions
- Are muons the same as electrons, except for their
mass? - Why are some particles charged and others
neutral? - Why do quarks carry fractional charge?
- What determines the masses of fundamental
particles? - Do leptons and quarks have a substructure?