Answer to Question #282152 in Atomic and Nuclear Physics for BIGIRMANA Elie

Question #282152

1. Using the Weiszacker’s formula, calculate the binding energy per nucleon for 235


92 U and



its two fission products: 149


60 Nd and 86


32Ge.

1
Expert's answer
2021-12-24T11:32:36-0500

By this equation,


BE=avAasA2/3acZ(Z1)A1/3aa(A2Z)2A+ap1A1/2,B_E=a_vA−a_sA^{2/3}−a_c\frac{Z(Z−1)}{A^{1/3}}−a_a\frac{(A-2Z)^2}A+a_p\frac1{A^{1/2}},

av=15.8 MeVas=18.3 MeVac=0.71 MeVaa=23.2 MeVap=±11.2 MeVa_v=15.8\text{ MeV}\\ a_s=18.3\text{ MeV}\\ a_c=0.71\text{ MeV}\\ a_a=23.2\text{ MeV}\\ a_p=\pm11.2\text{ MeV}\\


For Uranium-235 the binding energy is 1796 MeV.

For 149Nd the binding energy is 132 MeV.

For 86Ge the binding energy is 56 MeV.


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