A recently-developed ab initio theory of second harmonic generation (SHG) s
pectroscopy of semiconductor surfaces is used to develop a new 'modified' s
emi-empirical tight binding model (SETBM) of SHG spectroscopy. Some key qua
ntitative features of experimental SHG spectra for H- and Ge-covered Si(001
) are not well explained by a simple two-parameter SETBM, despite its succe
ss in explaining linear semiconductor surface spectra. The ab initio theory
identifies the source of this short-coming as the stronger contribution of
optical transitions involving surface atom/adatom states to the SHG respon
se, and is then used to quantify additional SETBM parameters describing the
se transitions, resulting in a complete, accurate, and convenient descripti
on of surface orbital hybridization and experimental results. (C) 2000 Publ
ished by Elsevier Science S.A.