(a)
(b)
(c)
(d)
(e)
(f)
Figure 1: Illustrations of each of the six clusters used for transition energy for -quartz cluster configurations with oxygen-deficiency centers. (a) Si2H6 with ODC(I), (b) Si2O6H6 with ODC(I), (c) Si5O15H12 with ODC(I), (d) Si8O24H18 with ODC(I), (e) SiO2H2 with ODC(II), and (f) Si3O8H6 with ODC(II). We use hydrogen atoms to passivate the oxygen atoms which terminate our cluster models.