calculating the binding energy pernuleon for helium isotopes

for helium-3, ³He,

 to obtain the calculated mass we use this formula

remember ³He, has 2 proton and one neutron

thus

P(1.007825) + N(1.008665)= calculated mass

2(1.007825) + 1(1.008665)= 3.02432

the measured mass is given by 3.016029

mass defects is given by measured mass – subtracted mass

3.02432- 3.016029 = 0.008251

binding energy is given as

0.008251 x (3 X 10⁸ )² m/s

7.4259 x 10⁸ MeV

the binding energy per nucleon is therefore given as

7.4259 x 10⁸ MeV/3  which is 2.4753 x 10⁸ MeV 

 to calculate the binding energy per nucleon for helium-4, ⁴He.

this atom has 2 proton and 2 neutrons,

 to calculate the actual mass or calculated mass.

2(1.007825) + 2(1.008665)= 4.03298amu

The measured mass is given by 4.002603

Mass defect = 4.03298-4.002603

0.030377 amu.

0.030377 x (3 X 10⁸)²  m/s

2.73393 x 10⁹ MeV

⁴He has 4 nucleon , therefore binding energy per nucleon is given by 2.73393 x 10⁹ MeV/4

=6.83482 x 10⁸ MeV