All images in this file reproduced from:
Blackman, Bottle, Schmid, Mocerino, and Wille, Chemistry, 2012
John Wiley & Sons
ISBN: 9780470810866
Nuclear Chemistry Lecture Topics:
Lecture 3: Radioactivity and nuclear decay; Half-life and carbon dating
Lecture 4: Nuclear stability; Predicting radioactive modes of decay
Lecture 5: Consequences and uses of radioactivity
Radioactivity: Divided into two types of atomic nuclei:
Stable
Radioactive
Stability Factors:
Competition between forces:
Electrostatic (Coulomb) repulsion: Protons push apart over long range.
Strong nuclear force: A short-range attraction between nucleons (protons and neutrons).
All known stable nuclides fall inside the Zone of Stability.
Unstable nuclei undergo radioactive decay.
Influence of Forces on Decay:
Too few neutrons → Electrostatic repulsion dominates strong attraction.
Larger nuclei → Long-range repulsion accumulates, overwhelming attraction.
Nuclides with A > 208 (e.g., Uranium) are unstable.
Too many neutrons → Unstable nuclei.
Explanation via Nuclear Shell Model (discussed subsequently).
Energy Levels in the Nucleus:
Similar energy levels and shells exist for protons/neutrons like electrons in atoms.
Example:
Energy level diagram of 12C (6 protons, 6 neutrons) demonstrates stability due to 2 complete shells (analogy: noble gas configuration).
More neutrons result in lower stability due to incomplete shells.
Radioactive Decay Mechanisms:
Nuclei undergo spontaneous decay; mass number and charge are conserved.
α Decay:
Loss of a helium nucleus (4, 2+) represented as 2+.
β Decay:
Ejects an electron (β−); transforms a neutron into a proton.
Positron (β+) Decay:
Ejects a positron; transforms a proton into a neutron.
Positrons often collide with electrons post-emission.
Continued Radioactive Decay Mechanisms:4. Electron Capture:
An electron merges with a proton forming a neutron, releasing x-rays from lower energy states.
Neutron Emission:
Direct emission of a neutron, changing mass number (M) but not charge (Z).
Gamma (γ) Emission:
High-frequency radiation accompanying other decay types; does not alter M or Z.
What Happens in the Nucleus During Decay:
α Decay: Loss of (2 protons, 2 neutrons) N↓, Z↓
β Decay: (N↓, Z↑) – neutron to proton conversion
Positron (β+) Emission: (N↑, Z↓) – proton to neutron conversion
Electron Capture: (N↑, Z↓) – a proton captures an electron
Radioactive Decay Sequences:
Represents decay from 238U as a graph of atomic number vs. neutron number:
α Decay: Decrease of two protons (Z) and neutrons (N).
β Decay: Decrease by one neutron, increase by one proton.
Isotopes maintain the same atomic number (Z) but differ in neutron number (N).
Nuclear Stability Factors:
Observing stable nuclides reveals two main determinants...
Size of the nucleus
Composition of the nucleus (neutrons:protons or the N:Z ratio)
Size of Nucleus:
No stable nuclei heavier than 208Pb observed.
N:Z Ratio:
208Pb has N/Z ratio = 1.54.
All stable nuclides fall within the Zone of Stability:
Zone has N/Z ratio close to 1 but slopes towards more neutrons as nuclei get larger.
Rule for Nuclear Stability: Unstable isotopes decay towards the zone of stability, specifically below 209Bi.
N:Z Ratio Example:
β− decay, neutron emission – too high N/Z ratio
α decay – too high mass
β+ decay or electron capture – too low N/Z
Plan: Adjust N and/or Z based on stability zone criteria.
Learning Outcomes:
After this lecture, students should be able to:
Explain factors affecting nuclear stability.
Balance nuclear equations.
Predict modes of radioactive decay for unstable nuclei.
Further Reading: Blackman 27.1