I mass formula to compute the total binding energy for Fe.5) Using the semiempirical

The Weizsaecker formula or semi-empirical formula is a refined form of the liquid-drop model of…

Answered: 5) Using the semiempirical mass formula…

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5) Using the semiempirical mass formula to compute the total binding energy for 5TFe.

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Question

I mass formula to compute the total binding energy for Fe.
5) Using the semiempirical

Expert Solution

Concept and Principle:

The Weizsaecker formula or semi-empirical formula is a refined form of the liquid-drop model of atomic nuclei. It can be used to calculate the binding energy of a nucleus.

The Weizsäcker formula is given by,

$B = a_{v} A - a_{s} A^{\frac{2}{3}} - \frac{a_{c} Z (Z - 1)}{A} - a_{s} (\frac{{(N - Z)}^{2}}{A}) \pm a_{p} \frac{1}{A^{\frac{1}{2}}}$

Here a_v is the volume term constant and has a value of 15.5 MeV, a_s is the surface term constant and has a value of 16.8 MeV, a_c is the coulomb term constant and has a value of 0.72 MeV, a_sy is the symmetric term constant and has a value of 23 MeV, a_p 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 the paring term will become zero, when A, Z, and N are even the paring term will be positive, and when A is even, Z, and N are odd the paring term will be negative.

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