Question

Use the Semi-Empirical Mass Formula (SEMF) to calculate values for "binding energy per nucleon" (B/A) for 50V, 56Fe, and 241Am. "Mirror Nuclei" are a pair of nuclei with the same A, but where the number of neutrons in 'nucleus 1' is equal to the number of protons in 'nucleus 2'. In other words, switching n ? p will switch between the nuclei. Or: Z? = N? and N? = Z?. (a) Show that the only terms of the SEMF binding energy that differs between mirror nuclei is the Coloumb term. (b) The isotopes 39K and 39Ca are mirror nuclei. Calculate the difference in binding energy between them. (c) Calculate the overall mass difference between 39K and 39Ca (binding energy + particle mass, in MeV) between them. Remember that you also need to account for the mass difference between a (proton+electron) and a neutron. (d) Use the data in Appendix F to get the difference in the actual mass of 39K and 39Ca, in MeV, how close is that difference to the SEMF calculation?

          Use the Semi-Empirical Mass Formula (SEMF) to calculate values for "binding energy per nucleon" (B/A) for 50V, 56Fe, and 241Am.

"Mirror Nuclei" are a pair of nuclei with the same A, but where the number of neutrons in 'nucleus 1' is equal to the number of protons in 'nucleus 2'. In other words, switching n ? p will switch between the nuclei. Or: Z? = N? and N? = Z?.

(a) Show that the only terms of the SEMF binding energy that differs between mirror nuclei is the Coloumb term.
(b) The isotopes 39K and 39Ca are mirror nuclei. Calculate the difference in binding energy between them.
(c) Calculate the overall mass difference between 39K and 39Ca (binding energy + particle mass, in MeV) between them. Remember that you also need to account for the mass difference between a (proton+electron) and a neutron.
(d) Use the data in Appendix F to get the difference in the actual mass of 39K and 39Ca, in MeV, how close is that difference to the SEMF calculation?

Use the Semi-Empirical Mass Formula (SEMF) to calculate values for "binding energy per nucleon" (B/A) for 50V, 56Fe, and 241Am.

"Mirror Nuclei" are a pair of nuclei with the same A, but where the number of neutrons in 'nucleus 1' is equal to the number of protons in 'nucleus 2'. In other words, switching n ? p will switch between the nuclei. Or: Z? = N? and N? = Z?.

(a) Show that the only terms of the SEMF binding energy that differs between mirror nuclei is the Coloumb term.
(b) The isotopes 39K and 39Ca are mirror nuclei. Calculate the difference in binding energy between them.
(c) Calculate the overall mass difference between 39K and 39Ca (binding energy + particle mass, in MeV) between them. Remember that you also need to account for the mass difference between a (proton+electron) and a neutron.
(d) Use the data in Appendix F to get the difference in the actual mass of 39K and 39Ca, in MeV, how close is that difference to the SEMF calculation?

Added by Jose Ramon M.

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