Revision summary

Read the nucleus and atom

Proton number Z

Number of protons; identifies the element. A neutral atom also has Z electrons.

Nucleon number A

Protons plus neutrons. Neutrons = A - Z. A and Z are counts with no unit.

Nuclide and isotope

A nuclide has specified proton and neutron numbers. Isotopes have the same Z but different neutron numbers and therefore different A.

Put A at the upper left and Z at the lower left of the element symbol. A change in electrons makes an ion; it does not change the isotope. Equal A alone does not establish the same element.

Explain decay and emissions

An unstable nucleus loses energy by emitting radiation. Decay is random: an individual decay time cannot be predicted. It is spontaneous: no external trigger is needed. A large population can still have a predictable average pattern.

• Alpha: helium nucleus, two protons and two neutrons, charge +2. Typically dense ionisation and low penetration.
• Beta-minus: fast electron produced in a nuclear change, charge -1. Typically less dense ionisation and more penetration than alpha.
• Gamma: electromagnetic radiation from the nucleus, uncharged and highly penetrating. Thick shielding reduces transmission but need not eliminate it.

All three can ionise. Energy and absorber conditions affect their penetration. Radiation leaving a source is different from radioactive material spreading to a new location.

Track a nuclear change

• Alpha: daughter A decreases by 4 and Z by 2.
• Beta-minus: A is unchanged and Z increases by 1.
• Gamma: both A and Z stay unchanged while nuclear energy decreases.

Balance total upper nucleon numbers and lower charge numbers. The electron's lower -1 is a charge number, not a negative proton count; its upper 0 is not a claim of zero mass. Alpha then beta-minus takes A/Z from 214/84 to 210/83, leaving 127 neutrons.

Separate activity from detector rates

Background comes from sources such as cosmic radiation, rocks, radon and radioactive materials in food and the body, with artificial contributions possible. Counts fluctuate; removing the study source does not normally make them zero.

Activity A is decays per second, in Bq. It is different from nucleon number A and from raw detector count rate. The example 300 counts in 2 min minus 100 counts in 5 min gives 150 - 20 = 130 counts/min. With the stated one-count-per-four-decays calibration, that estimates 520 decays/min = about 8.7 Bq.

Choose suitable detector response and rate range. Keep geometry, shielding and settings fixed, record durations and estimate background. Longer counting reduces relative random variation for a steady rate, but can blur rapid decay. It cannot repair a wrong calibration.

Use repeated halving

Half-life t_1/2 is the time for half the undecayed nuclei of one nuclide in a large sample to decay, or its activity to halve. It is measured in s, with other consistent time units possible.

After one, two and three half-lives, the remaining fractions are 1/2, 1/4 and 1/8. With half-life 6 h, 800 Bq becomes 100 Bq after 18 h. Daughter material remains; the whole sample does not disappear.

Use background-corrected rates for a decay curve. In the supplied model, 160 to 80 counts/min takes 4 min; 40 to 20 also takes 4 min. The total curve approaches 20 counts/min background, while the source curve approaches zero. Keep the single-nuclide, negligible-daughter and unchanged-detection conditions.

Connect uses and hazards to the radiation

• An internal gamma tracer emits towards a detector outside the body.
• A suitable beta gauge detects lower transmission through a thicker sheet under otherwise matched conditions.
• Gamma ionisation can damage tumour cells and healthy cells.
• Irradiation means radiation reaches a target. Contamination means radioactive material is present on or inside it.
• Internal alpha-emitting material can be hazardous despite low penetration. Activity alone does not give the energy absorbed by a person.
• Time, separation and suitable shielding affect external exposure; containment addresses spread of source material.

Choose half-life to retain useful activity for the task without unnecessarily long persistence. Also match penetration to the detector/target path and explain the useful or harmful ionisation. For the stated 1600 Bq tracer comparison, the 2 h half-life leaves 800 Bq after 2 h; the 20 min half-life leaves only 25 Bq.

Distinguish fission and fusion

Fission splits a heavy nucleus into smaller nuclei. Fusion joins light nuclei to form a heavier one. Suitable nuclear-fuel reactions in both processes release energy carried by their products and radiation; ordinary chemical burning does not change the nuclei in this way.