Size effects on the band-gap of semiconductor compounds

Based on a thermodynamic model for size-dependent melting temperature, the size-dependent band-gap of low dimensional semiconductor compounds is modeled without any adjustable parameter. The model predicts an increase of the band-gap of nanoparticles and nanowires for IIB-VIB and IIIB-VB semiconductor compounds, with decreasing their size, which is supported by available experimental and other theoretical results.