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Radioactive Decay Chain

A heavy nucleus walks a decay series to stable lead. The primary scene is the physical nucleus, protons and neutrons packed and intermixed, transmuting each step: alpha decay sheds a He-4 cluster ($Z-2, N-2$), beta-minus turns a neutron into a proton ($Z+1, N-1$). The $Q$ value comes from the Bethe-Weizsaecker semi-empirical mass formula and the alpha half-life from the Geiger-Nuttall law. The side panel is the Segre chart tracing the path from the parent to the stable endpoint (Pb-206 for U-238, Pb-208 for Th-232).

Figure 1. Nucleus transmutation along a decay series with the Geiger-Nuttall log half-life trend and the Segre-chart path.

WHAT TO TRY

  • Watch the nucleus transmute step by step: alpha decay sheds a helium-4 cluster, beta-minus turns a neutron into a proton, each move a jump on the chart of nuclides.
  • Follow the cascade toward stable lead: a heavy parent like uranium cannot reach stability in one step, it walks a fixed sequence of daughters set by which decay lowers the energy.
  • Notice the branch points: some isotopes can go either alpha or beta, splitting the series into parallel routes that rejoin further down.