Nuclei


Nuclei

  • Decay Constant 




    Relation between half-life and decay constant: 

  • Half-life 



  • Relation between T and T
    av

    T = 0.693 Tav
  • Activity of a radioactive substance, 
  • The activity of a radioactive substance can also be expressed in terms of its half-life.

    Activity, A = l N = 



    Nuclear Fission


    92U235 + 0n1  [92U236 56Ba141 + 36Kr92 + 30n1 + 200 MeV

    Atomic nucleus
  • Volume of the nucleus

     mass number

    V = 
  • Nuclear charge = Ze

    = electronic charge
  • Nuclear density


  • Mass defect, D m = M - A

     actual mass of the nucleus.
  • Packing fraction, f = 
  • Mass-Energy Relation

    E = m c2
  • Total mass of protons and neutrons in the nucleus

    = Z MH + (A - Z) Mn
  • Mass defect during the formation of the nucleus

    DM = [ZMH + (A - Z) Mn] - M
  • Total binding energy of the nucleus is

    E = DM × c2 = [ZMH + (A - Z) Mn - M] × c2 joules
  • Average binding energy per nucleon


  • Binding energy of the nucleus is

    E = [ZMH + (A - Z) Mn - M] × 931.5 MeV

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