An Erbium-166 nucleus contains 68 protons. The atomic mass of aneutral Erbium-166 atom is 165.930u, where u = 931.5 MeV/c². Inthis question you may use that the mass of a proton is 938.27 MeV/c²,the mass of a neutron is 939.57 MeV/e² and the mass of an electronis 0.511 MeV/c².i. Calculate the nuclear binding energy per nucleon, giving youranswer in units of MeV.ii. Electrons with an energy of 0.5 GeV are scattered off the nucleus.Estimate the scattering angle of the first minimum in the resultingdiffraction pattern.iii. Briefly comment on whether or not you expect this nucleus to bespherical, and what consequence this has for excited states ofthe nucleus in the collective model.

An atomic nucleus must possess nuclear binding energy in order to be separated into its constituent…

Answered: An Erbium-166 nucleus contains 68…

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