Now that we know what aV should be, we can move on to determine the asymmetry term (aA) based on the shape of the binding energy curve across all of the oxygen isotopes, shown in the figure below.

Semi-Empircal Mass Formula

Figure 1 shows the experimentally measured (cyan) and theoretically calculated (red) binding energy per nucleon (BE/A) for all observed isotopes of oxygen (from Table 2 on the previous page).

Table 1: Constants of liquid drop formula (MeV)
Symbol Value
aV
aS 18.3
aC 0.714
aA
aP

2(a) Vary the constant (aA) in Table 1 until the shape of the theoretical binding energy curve matches the experimental data in Figure 1 as well as possible. We suggest you start by exploring what happens when you change the asymmetry parameter in steps of 5 MeV from 0 to 30 MeV. Note that you will not be able to get a perfect match.


2(b) Leave your answer for aA in the Table to use it for the next activity. You will also want to make a note of your value.