Activity 2: Determining the value of aA

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 graph below.

Semi-Empircal Mass Formula

Table 1 shows the parameters for the Liquid Drop (LD) formula. The sliders allow you to alter the constants. These changes will be reflected in Graph 1. Note that the values for aS and aC are already given.

Graph 1 shows the experimentally measured and theoretically calculated binding energy per nucleon 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 Graph 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 might also want to make a note of your value to discuss in the FutureLearn course.