Objectives for Colonel By IB Physics Atomic and Nuclear Physics Unit

From IB Syllabus © International Baccalaureate Organization 2001, International Baccalaureate Organization, Route des Morillons 15, 1218 Grand-Saconnex, Geneva, SWITZERLAND

Organized by teaching unit in accordance with the course at Colonel By Secondary School, and intended for the use of these students.

6.0 Atomic and Nuclear Physics, 12.0 Quantum Physics and Nuclear Physics
Section Number

Topic

Descriptor

Topic 6: Atomic and Nuclear Physics (9h)
6.1 The Atom (2h)
Atomic structure
6.1.1

Describe a model of the atom that features a small nucleus surrounded by electrons.

6.1.2

Outline the evidence that supports a nuclear model of the atom.

A qualitative explanation of the Geiger-Marsden experiment and its results is all that is required.

6.1.3

Outline evidence for the existence of atomic energy levels.

Students should be familiar with emission and absorption spectra, but the details of atomic models are not required.

Nuclear structure
6.1.4

Describe the existence of isotopes as evidence for neutrons.

6.1.5

Explain the terms nuclide, isotope and nucleon.

6.1.6

Define mass number and atomic number.

6.1.7

Describe the interactions in the nucleus.

Students should be aware that there is a Coulomb interaction between protons and a strong, short-range nuclear interaction between the nucleons.

6.2 Radioactive Decay (3h)
Radioactivity
6.2.1

Describe the phenomenon of natural radioactive decay.

6.2.2

Describe alpha, beta and gamma radiation and their properties.

6.2.3

Describe the ionizing properties of radiation and its use in the detection of radiation.

The Geiger-Muller tube and the ionization chamber are examples of such detection devices. Only a qualitative understanding of the operation of these devices is required.

6.2.4

Explain why some nuclei are stable while others are unstable.

An explanation in terms of relative numbers of protons and neutrons and the forces involved is all that is required.

6.2.5

Determine the atomic and mass numbers of the products of nuclear decay in a transformation or in a series of transformations.

Positron decay and the inclusion of the antineutrino in beta minus decay are not required but teachers should not artificially avoid mentioning them.

Half-life
6.2.6

State that radioactive decay is a random process and that the average rate of decay for a sample of a radioactive isotope decreases exponentially with time.

Exponential decay need not be treated analytically. It is sufficient to know that any quantity that reduces to half its initial value in a constant time decays exponentially and that this law does not depend on the initial amount of the quantity.

6.2.7

Define the term half-life.

6.2.8

Determine the half-life of a nuclide from a decay curve.

It is sufficient for students to find a halving-time.

6.2.9

Solve radioactive decay problems involving integral numbers of half-lives.

6.3 Nuclear Reactions, Fission and Fusion (4h)
Nuclear reactions
6.3.1

Describe and give an example of artificial (induced) transmutation.

6.3.2

Construct and complete nuclear reaction equations.

For example, H O N He 1117814742 + = +6 1 3 43 0 1 2 + = + Li n H He

6.3.3

Define the term unified mass unit.

6.3.4

State and apply Einstein's mass-energy equivalence relationship.

6.3.5

Explain the concepts of mass defect and binding energy.

6.3.6

Solve problems involving mass defect and binding energies.

Fission and fusion
6.3.7

Describe the processes of nuclear fission and fusion.

Students should be familiar with the concept of a chain reaction.

6.3.8

Draw and annotate a graph of binding energy per nucleon against atomic number Z, and apply it to predict nuclear energy changes for both the fission and fusion processes.

6.3.9

State that nuclear fusion is the main source of the Sun's energy.

6.3.10

Solve problems involving fission and fusion reactions.

Topic 12: Quantum Physics and Nuclear Physics

(15h)

12.1 Quantum Physics (9h)
The quantum nature of radiation
12.1.1

Describe the photoelectric effect and Einstein's explanation of this effect.

Students should be familiar with the concept of the photon and should be able to explain why the wave model of light is unable to explain the photoelectric effect.

12.1.2

Outline an experiment to test the Einstein model.

Millikan's experiment involving the application of a stopping potential would be a suitable example.

12.1.3

Solve problems involving the photoelectric effect.

The wave nature of matter
12.1.4

Describe de Broglie's hypothesis and the concept of matter waves.

Students should also be aware of wave-particle duality (the dual nature of both radiation and matter).

12.1.5

Outline an experiment to test the de Broglie hypothesis.

12.1.6

Solve problems involving matter waves.

For example, students should be able to calculate the wavelength of moving electrons.

Atomic spectra and atomic energy states
12.1.7

Outline how atomic spectra can be observed.

12.1.8

Explain how atomic spectra provide evidence for the quantization of energy in atoms.

An explanation in terms of energy differences between allowed electron energy states is sufficient.

12.1.9

Outline the Bohr model of the hydrogen atom.

No mathematical details are required. Refer to the fact that the model enabled the discrete wavelengths of the hydrogen spectrum to be predicted.

12.1.10

State the limitations of the Bohr model.

12.1.11

Outline the Schršdinger model of the hydrogen atom.

The model assumes that electrons in the atom can be described by wave functions. These have to fit boundary conditions in three dimensions in the atom, giving rise to both radial and angular allowed modes with discrete energy states (analogous to the discrete allowed frequencies of standing waves). The electron has an undefined position, but the square of the amplitude of the wave function gives the probability of finding it at a point.

12.1.12

Calculate spectral wavelengths from energy level differences and vice versa.

X-rays
12.1.13

Outline the experimental set up for the production of X-rays.

12.1.14

Draw and annotate a typical X-ray spectrum.

Students should be able to identify the continuous and characteristic features of the spectrum and the minimum wavelength limit.

12.1.15

Explain the origins of the features of a typical X-ray spectrum.

12.2 Nuclear Physics (3h)
The nucleus
12.2.1

Explain how the radii of nuclei can be determined by charged particle scattering experiments.

Use of energy conservation for determining closest-approach distances for Coulomb scattering experiments is sufficient.

12.2.2

Describe how the masses of nuclei can be determined using a mass spectrometer.

Students should be able to draw a schematic diagram of the mass spectrometer but the experimental details are not required. Students should appreciate that nuclear mass values provided evidence for the existence of isotopes.

12.2.3

Describe one piece of evidence for the existence of nuclear energy levels.

For example, alpha particles produced by the decay of a nuclide have discrete energies; gamma ray spectra are discrete. Students should appreciate that the nucleus, like the atom, is a quantum system with allowed states and discrete energy levels.

Radioactive decay
12.2.4

Describe both £]+ and £]- decay, including the existence of the neutrino and the antineutrino.

Students should know that £] energy spectra are continuous and that the neutrino was postulated to account for the missing energy and momentum.

12.2.5

State the radioactive decay law as an exponential function and define the decay constant.

12.2.6

Derive the relationship between the decay constant and half-life.

12.2.7

Solve problems using the radioactive decay law.

12.2.8

Outline methods for measuring the half-life of an isotope.

Students should know the principles of measurement for both long and short half-lives.

12.3 Particle Physics (3h)
Note: This section is intended to be a brief factual introduction to particle physics.
12.3.1

Outline the concept of antiparticles and give examples.

12.3.2

Outline the concepts of particle production and annihilation and apply the conservation laws to these processes.

Students should know that particles can be produced in high-energy interactions in particle accelerators. Details of accelerators are not required. Students should appreciate that these processes are instances of the conversion of energy to rest mass and vice versa (in accordance with Einstein's mass-energy relation), and are subject to various conservation laws: mass-energy, momentum, electric charge, lepton number and baryon number.

12.3.3

List and outline the four fundamental interactions.

Students should also be aware that the electromagnetic force and weak nuclear force are instances of a single electroweak force with two types of exchange particles.

12.3.4

List the three classes of fundamental particle.

It is sufficient to know that the classes are leptons, quarks and exchange bosons (force mediators), and that there are six types of quarks and leptons, plus their antiparticles, grouped in three generations. Students should know that isolated quarks have not been detected.

12.3.5

State that there are three classes of observed particle.

It is sufficient to know that the classes are leptons, hadrons and exchange bosons. Hadrons are divided into mesons and baryons.

12.3.6

Outline the structure of nucleons in terms of quarks.

Students should be able to relate nucleon properties to composition, eg describe protons as Òup, up, downÓ.

12.3.7

Outline the concept of an interaction as mediated by exchange of particles.

Students should be able to associate the four interactions with their respective exchange particles and should also be aware of the colour force between quarks and the associated gluons.

IB Physics Home