(Solution) - The helium nucleus or particle is a very tightly -(2025 Original AI-Free Solution)

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The helium nucleus or ? particle is a very tightly bound system. Nuclei with N = Z = 2n, where n is an integer, such as 12C, 16O, 20Ne, and 24Mg, may be thought of as agglomerates of ? particles.
(a) Use this model to estimate the binding energy of a pair of a particles from the atomic masses of 4He and 16O. Assume that the four a particles in 16O form a regular tetrahedron with one a particle at each vertex.
(b) From the result obtained in part (a) determine, on the basis of this model, the binding energy of 12C and compare your result with that obtained from the atomic mass of 12C.