“…The prominent effect of “nano” size, however, is associated with the thickness of the electron-depleted surface layer, which is defined as the Debye length “ L D ”. The Debye length L D for a semiconducting material could be calculated as where “ k B ” is the Boltzmann constant; “ε” is the dielectric constant = ε o × ε r , where “ε r ” is the relative permittivity = ε/ε o ; “ε o ” is the permittivity of free space; “ T ” is the operating temperature in Kelvin scale; “ e ” is the electron charge (1.6 × 10 –19 C); and “ n d ” is the carrier concentration. , It has been estimated by the researchers that L D for SnO 2 is 3 nm with ε = 13.5, ε o = 8.85 × 10 –12 F/m, and n d = 3.6 × 10 24 m –3 . ,,, Therefore, when the SnO 2 particle size is reduced to a size that is comparable to or lower than 2 L D , i.e., 6 nm, the whole crystallite will be fully depleted of electrons, which in turn causes the gas response of the element to change dramatically with D . Since L D for S10 sample is found to be 2.76 nm (overgrowth diameter), which is much lower than the critical size at which SnO 2 could exhibit the “size-related nanoeffect”, its gas sensing response pitched to its highest level.…”