How Do You Calculate Binding Energy with the Weizsacker Formula?

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In summary, the formula for determining the binding energy of a nucleus, B(AZX), is given by aVA - aAA^2/3 - aC[Z(Z-1)]A^-1/3 - aS[(N-Z)^2]/A + δ. Using the given values of Enrico Fermi (aV = 14 MeV, aA = 13 MeV, aC = 0.72 MeV, aS = 19 MeV, ∆ = 33 MeV · A-3/4), the surface energy is 16.88 MeV, the Coulomb energy is 13.44 MeV, and the symmetry energy is 24.14 MeV. The
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kraigandrews
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Homework Statement


For 58Ni:
B(AZX) = aVA - aAA^2/3 - aC[Z(Z-1)]A^-1/3 - aS[(N-Z)^2]/A + δ.
Using the parameter values given by Enrico Fermi (aV = 14 MeV, aA = 13 MeV, aC = 0.72 MeV, aS = 19 MeV, ∆ = 33 MeV · A-3/4), determine each term in the formula.

Calculate the magnitude of the surface energy.

Determine the magnitude of the Coulomb energy.

What is the magnitude of the symmetry energy?

What is the total binding energy according to the Weizsacker formula?

What is the binding energy of the nucleus using the table of atomic masses ?


The Attempt at a Solution


For Nickel:
A=58
Z=28
N=30

Using the given parameters I think it would be a simple plug in on each term to find the wanted energies. So I am not sure why it won't work.
 
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  • #2
yes i believe they are just plug ins

i am just curious why is your delta term 33MeV x A^-3/4

i checked wiki it says 11MeV x A^-1/2
 

FAQ: How Do You Calculate Binding Energy with the Weizsacker Formula?

What is the Weizacker Formula Equation?

The Weizacker Formula Equation, also known as the semi-empirical mass formula, is an equation used in nuclear physics to calculate the approximate binding energy of an atomic nucleus based on the number of protons and neutrons it contains.

Who developed the Weizacker Formula Equation?

The Weizacker Formula Equation was developed by German physicist Carl Friedrich von Weizsacker in 1935.

What is the significance of the Weizacker Formula Equation?

The Weizacker Formula Equation is significant because it helps scientists understand the stability and structure of atomic nuclei. It also allows for predictions to be made about the behavior of nuclear reactions and the formation of new elements.

How is the Weizacker Formula Equation calculated?

The Weizacker Formula Equation takes into account the mass of each proton and neutron, as well as the number of protons and neutrons in the nucleus. It also considers the various forces that hold the nucleus together, such as the strong nuclear force and the electromagnetic force.

Is the Weizacker Formula Equation accurate?

The Weizacker Formula Equation is considered to be a good approximation for the binding energy of atomic nuclei, but it is not completely accurate. There are other factors that can affect the stability of a nucleus, such as the shape and arrangement of the nucleons, that are not accounted for in the equation.

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