198 4) Use the Weizsäcker formula to calculate the binding energy for Au

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4) Use the Weizsäcker formula to calculate the binding energy for 79Au
198
Transcribed Image Text:4) Use the Weizsäcker formula to calculate the binding energy for 79Au 198
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Concept and Principle:
  • Weizsäcker formula is used to estimate the binding energy of an atomic nucleus from its number of protons and neutrons.

 

  • It represents the liquid-drop model of the atomic nucleus and the value of coefficients was calculated from experimental and theoretical data from the liquid-drop model.

 

  • The Weizsäcker formula is given by,

B=avAasA23acZ(Z1)A13asy((NZ)2A)±ap1A12

Here av is the volume term constant and has a value of 15.5 MeV, as is the surface term constant and has a value of 16.8 MeV, ac is the coulomb term constant and has a value of 0.72 MeV, asy is the symmetric term constant and has a value of 23 MeV, ap is the pairing term constant and has a value of 34 MeV, A is the mass number, Z atomic number, and N is the number of neutrons.

 

  • When the A is odd ap will become zero, when A, Z, and N are even the ap will be positive, and when A is even, Z, and N are odd ap will be negative.
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