BINDING ENERGY

Presented by:

Ahmed Nawaz

Assigned By: Prof. Dr. Aziza Aftab

ContentsBinding Energy

Mass Defect

Example of Binding energy & Mass Defect

Binding EnergyBinding energy is the energy required to disassemble or break a whole system into separate parts.

Nuclear binding energy is the energy that would be required to disassemble or break the nucleus of an atom into its component parts. These component parts are neutrons and protons, which are collectively called nucleons.

The mass of an atomic nucleus is usually less than the sum of the individual masses of the constituent protons and neutrons (according to Einstein's equation E=mc2) and this 'missing mass' is known as the mass defect, and represents the energy that was released when the nucleus was formed.

Mass defect

Keep this in

1 atomic mass unit

 

= 1µ= 931 MeV

mp = 1.0073µmn = 1.0087µ

Alpha Decay of Uranium

U92232 → Th90

228 +  He24  

reactant product

Mass reactant= 232.0371

46amu

Mass product= 228.028731 +

4.002603= 232.031334

amu

STEP 1:

Difference between mass of reactant and mass of

products

STEP 2:

∆ M=  mass   of   reactant  −  mass  of   products - 232.031334 amu

∆ M=0.005812  amuMass defect

Convert mass defect into energy

STEP 3:

E =   m ass   defect  ( c2 )E = 0.005812   amu  (931 MeV /  amu )

E = 5.4  MeVBinding Energy

Fission of Uranium

n01 +  U92

235 →  Ba56138 +  Kr36

95 + 3 n01

reactants products

Mass reactant= 235.0439 amu + 1.0087 amu = 236.0526

amu

Mass product= 137.905 + 94.900 +

3.026= 235.831 amu

STEP 1:

Difference between mass of reactants and mass of

products

STEP 2:

∆ M=  mass   of   reactants  −  mass   of   products236.0526 amu - 235.831

amu∆ M= 0.222  amuMass defect

Convert mass defect into energy

STEP 3:

E =   m ass   defect  ( c2 )E =0.22 2  amu (931 MeV /  amu )E = 206  MeV

Binding Energy

Binding Energy: Compared

Alpha decay 5.4 MeV

Fission206 MeV

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