The most important concept in physics is that of energy. It governs and
limits the transformation of all physical systems including nuclei. The
first theory of nuclear energy was the liquid drop model proposed in the
1930's. The famous liquid-drop formula for nuclear binding energies is
B = av A + as A2/3 + aa
|N-Z|2/A + ac Z2/A1/3 + ap
(mod(N,2)+mod(Z,2)-1)/A1/2
where A is the number of nucleons in the nucleus, Z is the number
of protons, and N=A-Z is the number of neutrons. The five terms are
known as the volume,surface,symmetry,Coulomb,and pairing
energies,respectively. The parameters
in the formula are usually determined by a least squares fit to
known binding energies. This web site allows you to modify the formula
and make your own fit. You can also fit neutron and proton separation energies
instead of the total binding energies. The results
screen gives you the option to download the entire table and your fit.
Before you make any changes,
try the fit using the default settings. The rms error in the
binding energy should come out to 2.82 MeV. The most poorly fit
nucleus should come out to be (Z,N,A) = (50,82,132). The formula
can be modified in several ways. Often Z2 in the Coulomb term
is replaced by Z(Z-1). Another functional change is to replace
|N-Z|2/4 in the asymmetry term by the expression T(T+1) where
T=|N-Z|.