![]() ![]() ![]() Using the barrier penetration calculation gives a half-life of 1.5 x 10 7 seconds, about 13 orders of magnitude longer than the observed half-life. ![]() But it is instructive to calculate the half-life for a rectangular barrier of that height and width. The shape of the barrier must obviously be taken into account since it drops rapidly. Radius at which barrier drops to alpha energy The following characteristics of the nuclear environment can be calculated from a basic model of the nucleus: Separation of centers of alpha and nucleus at edge of barrier The illustration represents the barrier faced by an alpha particle in polonium-212, which emits an 8.78 MeV alpha particle with a half-life of 0.3 microseconds. ![]() The incredible range of alpha decay half-lives can be modeled with quantum mechanical tunneling. Modeling Alpha Particle Tunneling for Polonium-212 Modeling Polonium-212 Alpha Half-life ![]()
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