Nuclear magnetic moment is only partly predicted by simple versions of the shell model.
Also in the nuclear shell model angular momentum coupling is ubiquitous.
In the shell model, this phenomenon is explained by shell-filling.
Mayer had won the prize for the shell model of the nucleus.
Nuclear magnetic moment is partly predicted by this simple version of the shell model.
The next stage might be to combine the droplet model with the shell model though no one has done this yet.
In the theory of crystal lattice dynamics this model is now known as a shell model.
There are however problems with the shell model when an attempt is made to account for nuclear properties well away from closed shells.
The shell model, developed in 1949, allowed some additional features to be explained, in particular the so-called magic numbers.
Several basic hypotheses are made in order to give a precise conceptual framework to the shell model :