Semiempirical Molecular Orbital Methods

 

·     Ab initio calculations require a lot of computer time and memory.  This is because many difficult integrals involving the atomic orbitals have to be calculated for the electron-electron interactions.

 

·     So-called ‘semiempirical methods’ are much faster, and can be applied to bigger molecules (e.g. 100s of atoms instead of 10s of atoms). 

 

·     In semiempirical methods, fewer integrals have to be calculated because simplifying approximations are made. 

 

·     The integrals that do remain are not calculated directly, but instead are replaced by simple functions. 

 

·     These simple functions are parameterized so that the semiempirical method reproduces experimental data (e.g. molecular structures, dipole moments, ionization energies, etc.) as well as possible.  The experimental data contain the effects of electron correlation, and so semiempirical methods can be a good choice in some cases. 

 

·     However, the approximations used make them often somewhat inaccurate. 

 

·     Also, they can only reproduce properties of molecules similar to those used in parameterizing the method.  Usually only data for stable molecules are included, which means that transition states may not be dealt with well. 

 

·     Examples of semiempirical molecular orbital methods are MNDO, AM1 and PM3. 

 

Molecular mechanics