Question

Careful measurements of the mass of a lithium-6 nucleus yield a value of 6.01512 u. Compute the binding energy in MeV and the binding energy per nucleon for this nuclide MeV MeV/nucleon Compare your value with that for Li given in the figure below. 10 325 PoFe 100 Noba 1601325 81264 184w 19 He N 140 14N Binding energy per nucleon (MeV) “Η SO 100 200 2.50 150 Mass number (A)

Answer 1

Here we apply definition of binding energy and formula for calculating binding energy and binding energy per nucleon.

Am Lithium- 6 Atomic number, Z =3 Lese noot proton np = 3. no- of neutrons, na = 6-3 = 3: No. of nucleons A = G Binding Energy, B.E = SMC² ome mass of recictant - may of product 16 (nptnn) Li mard of orator, Mo = 1.00727647 u mass of Deutron, mp=1:008665+. Mass of nucleus of Li-6, MN = 601512u - sm = (3 mp +3 m) -mn L = 3(1.00727647+1.0086654)4- 6'015124 = 0.032705614 II u = 931.5 MeV/c2 1.B.E. = AMCZ = 6.03270561)(93):S Mev) - B.E. = 30.465276 Mer Lo Binding Energy = 30.4653 Mer 30.4653 Mev (1) Binsling Energy pex Mucleep. = B.E. - 30.4653 MeV SA 6 BE/nucleon = 5:0775 MeV from Googh also we can see, Bf/nucleon is close to 5.1 Men