Names for some commonly used semi-empirical methods are (in chronological
order of development):
CNDO
crude, fast, can do second row elements
INDO
better for first row elements
MINDO3
MNDO
AM1
better for H bonds
PM3
developed from AM1; includes more main-group elements
For ordinary molecules, AM1 or PM3 are probably the best to try
Semi-empirical methods are most useful for:
better geometry optimisation than force fields
geometries for molecules including atoms which are not parameterised in
a force field
qualitative prediction of IR frequencies
total electron density surface for graphical display
They are not really good enough for reaction energies and equilibrium constants
Even quite low level ab initio methods are better for energetics
They cannot do anything to do with core electrons, e.g. NMR shieldings
The ZINDO method can deal with excited states, which are more difficult
to do than ground states in ab initio methods. Hence predictions
of UV/visible spectrum absorption wavelengths are possible.