Chemistry_1A_Lecture_04

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  • All images in this file reproduced from:

    • Blackman, Bottle, Schmid, Mocerino, and Wille, Chemistry, 2012

    • John Wiley & Sons

    • ISBN: 9780470810866

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  • Nuclear Chemistry Lecture Topics:

    1. Lecture 3: Radioactivity and nuclear decay; Half-life and carbon dating

    2. Lecture 4: Nuclear stability; Predicting radioactive modes of decay

    3. Lecture 5: Consequences and uses of radioactivity

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  • Radioactivity: Divided into two types of atomic nuclei:

    1. Stable

    2. 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.

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  • Influence of Forces on Decay:

    1. Too few neutrons → Electrostatic repulsion dominates strong attraction.

    2. Larger nuclei → Long-range repulsion accumulates, overwhelming attraction.

    • Nuclides with A > 208 (e.g., Uranium) are unstable.

    1. Too many neutrons → Unstable nuclei.

    • Explanation via Nuclear Shell Model (discussed subsequently).

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  • 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.

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  • Radioactive Decay Mechanisms:

    • Nuclei undergo spontaneous decay; mass number and charge are conserved.

    1. α Decay:

      • Loss of a helium nucleus (4, 2+) represented as 2+.

    2. β Decay:

      • Ejects an electron (β−); transforms a neutron into a proton.

    3. Positron (β+) Decay:

      • Ejects a positron; transforms a proton into a neutron.

      • Positrons often collide with electrons post-emission.

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  • Continued Radioactive Decay Mechanisms:4. Electron Capture:

    • An electron merges with a proton forming a neutron, releasing x-rays from lower energy states.

    1. Neutron Emission:

      • Direct emission of a neutron, changing mass number (M) but not charge (Z).

    2. Gamma (γ) Emission:

      • High-frequency radiation accompanying other decay types; does not alter M or Z.

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  • 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

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  • 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).

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  • Nuclear Stability Factors:

    • Observing stable nuclides reveals two main determinants...

      1. Size of the nucleus

      2. Composition of the nucleus (neutrons:protons or the N:Z ratio)

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  • Size of Nucleus:

    • No stable nuclei heavier than 208Pb observed.

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  • 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.

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  • 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.

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  • 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

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