Learning objectives
describe the composition of an atom in terms of a positively charged nucleus (with protons and neutrons) and negatively charged electrons use the terms proton (atomic) number Z, nucleon (mass) number A and isotope
use and interpret the term nuclide and use the nuclide notation
show an understanding that nuclear decay is a random and spontaneous process whereby an unstable nucleus loses energy by emitting radiation
show an understanding of the nature of alpha (α), beta (β), and gamma (γ) radiation (including ionising effect and penetrating power) [β-particles are assumed to be β– particles only]
use equations involving nuclide notation to represent changes in the composition of the nucleus when radioactive emissions occur
show an understanding of background radiation
use the term half-life in simple calculations, which might involve information in tables or decay curves
discuss the applications (e.g. medical and industrial uses) and hazards of radioactivity based on:
(i) half-life of radioactive materials,
(ii) penetrating abilities and ionising effects of radioactive emissions
state the meaning of nuclear fusion and nuclear fission and relate these nuclear processes with the release of energy from nuclear fuels (recall of the energy-mass equivalence and details of technologies in nuclear power plants are not required)
The atom consists of electrons that orbit around a tiny core called the nucleus.
The electrons are negatively charged and are responsible for chemical reactions, chemical bonding, characteristic X-ray emissions, absorption/emission spectra etc.
The nucleus is positively charged and has a mass that is much larger than that of an electron. The atomic nucleus does not participate in chemical reactions.
The charge unit 𝑒 = 1.6022 × 10^−19 C. This constitutes the charge magnitude of both electrons and protons.
A nuclide is a species of atom characterized by the specific constitution of its nucleus (i.e., its number of protons and its number of neutrons).
The proton number, Z, is the number of protons in the nucleus. is also called the charge number or the atomic number.
The nucleon number, A , is the total number of nucleons. A nucleon is either a neutron or proton in the nucleus. is also known as the mass number.
Therefore, the number of neutrons in the nucleus is
N = A - Z
Isotopes are atoms that have the same number of protons but different numbers of neutrons.
Isotopes have nearly identical chemical properties (same proton number), but different physical properties (different nucleon number).
Radioactive isotopes, also known as radioisotopes, are unstable forms of elements that emit radiation due to an imbalance of protons and neutrons in their nucleus.
The nuclei of atoms can change, or be made to change, in various ways. Changes to the nuclei of atoms are called nuclear reactions.
Examples of nuclear reactions:
o Nuclear fission occurs when a massive nucleus splits into two less massive nuclei of approximately the same nucleon number and releases a huge amount of energy. The daughter nuclei may be stable or may decay further.
o Nuclear fusion occurs when two less massive nuclei combine (fuse) to form a single more massive nucleus and releases a huge amount of energy. It can occur when the nuclei have very high energy (e.g., at very high temperatures). The reason for this is that, as the nuclei approach each other, kinetic energy is converted into electrical potential energy. Fusion cannot occur if the nuclei lose all their kinetic energy before they bind.
o Radioactive decay is a process where an unstable nucleus loses energy and changes into a more stable nucleus by emitting radiation spontaneously and randomly.
Nuclear fusion is the process in which two light nuclei combine to form a heavier nucleus at very temperature.
• Some nuclei are unstable. One of the possible routes via which unstable nuclei can be transmuted into more stable nuclei is via radioactive decay.
• Radioactive decay is a spontaneous and random process where an unstable nucleus changes into a more stable nucleus, emitting radiation as it does so.
o When we say that radioactive decay is a spontaneous process, it means that radioactive decay is not triggered by external factors or influences and that the rate of decay is not affected by environmental conditions.
o When we say that radioactive decay is a random process, it means that it is not possible to predict which nucleus will decay next or when a particular nucleus will decay, while the probability of decay per unit time is constant and the same for all nuclei in the sample.
• Hence, the decay of a radioactive atom is not affected by any chemical reaction. It can neither be sped up nor slowed down and is independent of physical conditions such as temperature, pressure, and the decay of other atoms.
When an atom decays be emitting an alpha particle, its mass number decreases by 4 and its atomic number decreases by 2.
When an atom decays by emitting a beta particle, its mass number remains the same but its atomic number increases by 1. During beta decay, a neutron in the nucleus splits into a proton, which remains in the nucleus, and an electron which is emitted at high velocity as a beta particle.
When an unstable atom decays, the atom is sometimes left with excess energy. This is given out in the form of gamma radiation. The emission of gamma rays has no effect on either the mass or atomic number of the atom. (the excited nucleus is denoted by an asterisk * )
Activity and Count Rate
The rate of decay or activity A of a radioactive sample is the number of disintegrations per unit time. The S.I. unit of activity is becquerel (Bq) or inverse second (s-1).
1 Bq = 1 disintegration per second
A Geiger-Müller tube measures the count rate C instead of the activity A. This is because the normal detectors do not usually surround the radioactive source but only captures a portion of the radioactive emissions from a sample of radioactive source. The count rate is a fraction of the activity, so C is directly proportional to A:
C ∝ A
Although radioactive decay is a random process, if the number of radioactive nuclei is large, the rate at which a particular decay process occurs in a sample is directly proportional[1] to the number of radioactive nuclei N present:
A ∝ N
The number of undecayed radioactive nuclei N in a sample decreases exponentially with time t. This is shown by the decay curve (graph of N against t) on the right.
As the activity is directly proportional to number of radioactive nuclei, the rate of decay also decreases exponentially with time.
Background Radiation
In the absence of a specific radioactive source, a radiation detector still picks up a non-zero count rate (typically 20 to 50 counts per minute) from the environment. This measurement is known as the background count.
Background count is due to ionising radiation that is constantly present in the environment. This radiation is known as background radiation and its sources can be natural or man-made.
Naturally occurring sources account for about 80% of our exposure, and is contributed by things such as rocks, radon (a colourless and odourless gas that is easily trapped in buildings) and cosmic radiation. Man-made sources include those used in nuclear medicine, nuclear power plants and in consumer products (such as tobacco, which contains radioactive Pb-210).
In experiments to study radioactivity, the background count is usually subtracted from the measurement, to eliminate the systematic error in the count rate.
Half-life t1/2
A parameter that is useful in characterising nuclear decay is the half-life t1/2. The half-life of a radioactive nuclide is the average time taken for half of the original number of nuclei in a sample of the radioactive nuclide to decay. It is also the average time taken for the activity of a sample of the radioactive nuclide to halve. The definitions assume a statistically large number of particles and the half-life represents an expectation over a long time.
Nuclear power is the use of nuclear reactions to produce electricity. Nuclear reactors are machines that contain and control nuclear chain reactions while releasing heat at a controlled rate. A nuclear power plant uses the heat that a nuclear reactor produces to turn water into steam, which then drives turbine generators that generate electricity.