Here, C1 and C2 are parameters calculated from the slope and
the intercept in Figure 7 using eq 4, the molar volume (197 cm3)
and the density of gold (19.28 g cm-3). With the use of the
theoretical values (C1 )-4.70 and C2 ) 0.300) the average error
for the calculation of particle sizes according to eq 12 is 9%. With
the use of the experimental values (C1 )-4.75 and C2 ) 0.314)
this error is reduced to 6%, and hence eq 12 provides a precise
way to calculate the size of particles in the range between 5 and
50 nm.