The band gap of bulk silicon is 1.14 ev. a quantum dot can be modeled as an infinite square well in 3 dimensions, and the band gap is different for a quantum dot. consider a silicon particle that is a cube of size 4 nm. calculate the band gap for this particle, which is the energy difference between the lowest energy level of the electron in the conduction band and the highest energy level of the hole in the valence band using ε = 12, effective masses of electron = 0.35 and hole = 0.80 (in units of electron mass).