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

Question

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.

Answer 1

By this equation,

$$B_E=a_vA−a_sA^{2/3}−a_c\frac{Z(Z−1)}{A^{1/3}}−a_a\frac{(A-2Z)^2}A+a_p\frac1{A^{1/2}},$$

$a_v=15.8\text{ MeV}\\ a_s=18.3\text{ MeV}\\ a_c=0.71\text{ MeV}\\ a_a=23.2\text{ MeV}\\ a_p=\pm11.2\text{ MeV}\\$

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.