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Chapter 29

Chapter 29. Nuclear Physics. Milestones in the Development of Nuclear Physics. 1896 – the birth of nuclear physics Becquerel discovered radioactivity in uranium compounds Rutherford showed the radiation had three types Alpha (He nucleus) Beta (electrons) Gamma (high-energy photons).

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Chapter 29

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  1. Chapter 29 Nuclear Physics

  2. Milestones in the Development of Nuclear Physics • 1896 – the birth of nuclear physics • Becquerel discovered radioactivity in uranium compounds • Rutherford showed the radiation had three types • Alpha (He nucleus) • Beta (electrons) • Gamma (high-energy photons)

  3. More Milestones • 1911 Rutherford, Geiger and Marsden performed scattering experiments • Established the point mass nature of the nucleus • Nuclear force was a new type of force • 1919 Rutherford and coworkers first observed nuclear reactions in which naturally occurring alpha particles bombarded nitrogen nuclei to produce oxygen

  4. Milestones, final • 1932 Cockcroft and Walton first used artificially accelerated protons to produce nuclear reactions • 1932 Chadwick discovered the neutron • 1933 the Curies discovered artificial radioactivity • 1938 Hahn and Strassman discovered nuclear fission • 1942 Fermi and collaborators achieved the first controlled nuclear fission reactor

  5. Ernest Rutherford • 1871 – 1937 • Discovery of atoms being broken apart • Studied radioactivity • Nobel prize in 1908

  6. Some Properties of Nuclei • All nuclei are composed of protons and neutrons • Exception is ordinary hydrogen with just a proton • The atomic number, Z, equals the number of protons in the nucleus • The neutron number, N, is the number of neutrons in the nucleus • The mass number, A, is the number of nucleons in the nucleus • A = Z + N • Nucleon is a generic term used to refer to either a proton or a neutron • The mass number is not the same as the mass

  7. Symbolism • Symbol: • X is the chemical symbol of the element • Example: • Mass number is 27 • Atomic number is 13 • Contains 13 protons • Contains 14 (27 – 13) neutrons • The Z may be omitted since the element can be used to determine Z

  8. More Properties • The nuclei of all atoms of a particular element must contain the same number of protons • They may contain varying numbers of neutrons • Isotopes of an element have the same Z but differing N and A values • Example:

  9. Charge • The proton has a single positive charge, +e • The electron has a single negative charge, -e • The neutron has no charge • Makes it difficult to detect • e = 1.602 177 33 x 10-19 C

  10. Mass • It is convenient to use unified mass units, u, to express masses • 1 u = 1.660 559 x 10-27 kg • Based on definition that the mass of one atom of C-12 is exactly 12 u • Mass can also be expressed in MeV/c2 • From ER = m c2 • 1 u = 931.494 MeV/c2

  11. Summary of Masses

  12. The Size of the Nucleus • First investigated by Rutherford in scattering experiments • He found an expression for how close an alpha particle moving toward the nucleus can come before being turned around by the Coulomb force • The KE of the particle must be completely converted to PE

  13. Size of the Nucleus, cont • d gives an upper limit for the size of the nucleus • Rutherford determined that • For gold, he found d = 3.2 x 10-14 m • For silver, he found d = 2 x 10-14 m • Such small lengths are often expressed in femtometers where 1 fm = 10-15 m • Also called a fermi

  14. Size of Nucleus, Current • Since the time of Rutherford, many other experiments have concluded: • Most nuclei are approximately spherical • Average radius is • ro = 1.2 x 10-15 m

  15. Density of Nuclei • The volume of the nucleus (assumed to be spherical) is directly proportional to the total number of nucleons • This suggests that all nuclei havenearly the same density • Nucleons combine to form a nucleus as though they were tightly packed spheres

  16. Maria Goeppert-Mayer • 1906 – 1972 • Best known for her development of shell model of the nucleus • Shared Nobel Prize in 1963

  17. Nuclear Stability • There are very large repulsive electrostatic forces between protons • These forces should cause the nucleus to fly apart • The nuclei are stable because of the presence of another, short-range force, called the nuclear force • This is an attractive force that acts between all nuclear particles • The nuclear attractive force is stronger than the Coulomb repulsive force at the short ranges within the nucleus

  18. Nuclear Stability, cont • Light nuclei are most stable if N = Z • Heavy nuclei are most stable when N > Z • As the number of protons increase, the Coulomb force increases and so more nucleons are needed to keep the nucleus stable • No nuclei are stable when Z > 83

  19. Binding Energy • The total energy of the bound system (the nucleus) is less than the combined energy of the separated nucleons • This difference in energy is called the binding energy of the nucleus • It can be thought of as the amount of energy you need to add to the nucleus to break it apart into separated protons and neutrons

  20. Binding Energy per Nucleon

  21. Binding Energy Notes • Except for light nuclei, the binding energy is about 8 MeV per nucleon • The curve peaks in the vicinity of A = 60 • Nuclei with mass numbers greater than or less than 60 are not as strongly bound as those near the middle of the periodic table • The curve is slowly varying at A > 40 • This suggests that the nuclear force saturates • A particular nucleon can interact with only a limited number of other nucleons

  22. Marie Curie • 1867 – 1934 • Discovered new radioactive elements • Shared Nobel Prize in physics in 1903 • Nobel Prize in Chemistry in 1911

  23. Radioactivity • Radioactivity is the spontaneous emission of radiation • Experiments suggested that radioactivity was the result of the decay, or disintegration, of unstable nuclei

  24. Radioactivity – Types • Three types of radiation can be emitted • Alpha particles • The particles are 4He nuclei • Beta particles • The particles are either electrons or positrons • A positron is the antiparticle of the electron • It is similar to the electron except its charge is +e • Gamma rays • The “rays” are high energy photons

  25. Distinguishing Types of Radiation • A radioactive beam is directed into a region with a magnetic field • The gamma particles carry no charge and they are not deflected • The alpha particles are deflected upward • The beta particles are deflected downward • A positron would be deflected upward

  26. Penetrating Ability of Particles • Alpha particles • Barely penetrate a piece of paper • Beta particles • Can penetrate a few mm of aluminum • Gamma rays • Can penetrate several cm of lead

  27. The Decay Constant • The number of particles that decay in a given time is proportional to the total number of particles in a radioactive sample • ΔN = -λ N Δt • λ is called the decay constant and determines the rate at which the material will decay • The decay rate or activity, R, of a sample is defined as the number of decays per second

  28. Decay Curve • The decay curve follows the equation • N = No e- λt • The half-life is also a useful parameter • The half-life is defined as the time it takes for half of any given number of radioactive nuclei to decay

  29. Units • The unit of activity, R, is the Curie, Ci • 1 Ci = 3.7 x 1010 decays/second • The SI unit of activity is the Becquerel, Bq • 1 Bq = 1 decay / second • Therefore, 1 Ci = 3.7 x 1010 Bq • The most commonly used units of activity are the mCi and the µCi

  30. Alpha Decay • When a nucleus emits an alpha particle it loses two protons and two neutrons • N decreases by 2 • Z decreases by 2 • A decreases by 4 • Symbolically • X is called the parent nucleus • Y is called the daughter nucleus

  31. Alpha Decay – Example • Decay of 226 Ra • Half life for this decay is 1600 years • Excess mass is converted into kinetic energy • Momentum of the two particles is equal and opposite

  32. Decay – General Rules • When one element changes into another element, the process is called spontaneous decay or transmutation • The sum of the mass numbers, A, must be the same on both sides of the equation • The sum of the atomic numbers, Z, must be the same on both sides of the equation • Conservation of mass-energy and conservation of momentum must hold

  33. Beta Decay • During beta decay, the daughter nucleus has the same number of nucleons as the parent, but the atomic number is changed by one • Symbolically

  34. Beta Decay, cont • 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

  35. Beta Decay – Electron Energy • The energy released in the decay process should almost all go to kinetic energy of the electron (KEmax) • Experiments showed that few electrons had this amount of kinetic energy

  36. Neutrino • To account for this “missing” energy, in 1930 Pauli proposed the existence of another particle • Enrico Fermi later named this particle the neutrino • Properties of the neutrino • Zero electrical charge • Mass much smaller than the electron, probably not zero • Spin of ½ • Very weak interaction with matter

  37. Beta Decay – Completed • Symbolically •  is the symbol for the neutrino • 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

  38. 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 photons are called gamma rays, very high energy relative to light • 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

  39. Gamma Decay – Example • Example of a decay sequence • The first decay is a beta emission • The second step is a gamma emission • The C* indicates the Carbon nucleus is in an excited state • Gamma emission doesn’t change either A or Z

  40. Enrico Fermi • 1901 – 1954 • Produced transuranic elements • Other contributions • Theory of beta decay • Free-electron theory of metals • World’s first fission reactor (1942) • Nobel Prize in 1938

  41. 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

  42. More Uses of Radioactivity • 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

  43. 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 • Actinium • Thorium • See table 29.2

  44. Decay Series of 232Th • Series starts with 232Th • Processes through a series of alpha and beta decays • Ends with a stable isotope of lead, 208Pb

  45. 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

  46. Nuclear Reactions – Example • Alpha particle colliding with nitrogen: • Balancing the equation allows for the identification of X • So the reaction is

  47. Q Values • Energy must also be conserved in nuclear reactions • The energy required to balance a nuclear reaction is called the Q value of the reaction • An exothermic reaction • There is a mass “loss” in the reaction • There is a release of energy • Q is positive • An endothermic reaction • There is a “gain” of mass in the reaction • Energy is needed, in the form of kinetic energy of the incoming particles • Q is negative

  48. Threshold Energy • To conserve both momentum and energy, incoming particles must have a minimum amount of kinetic energy, called the threshold energy • m is the mass of the incoming particle • M is the mass of the target particle • If the energy is less than this amount, the reaction cannot occur

  49. Radiation Damage in Matter • Radiation absorbed by matter can cause damage • The degree and type of damage depend on many factors • Type and energy of the radiation • Properties of the absorbing matter • Radiation damage in biological organisms is primarily due to ionization effects in cells • Ionization disrupts the normal functioning of the cell

  50. Types of Damage • Somatic damage is radiation damage to any cells except reproductive ones • Can lead to cancer at high radiation levels • Can seriously alter the characteristics of specific organisms • Genetic damage affects only reproductive cells • Can lead to defective offspring

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