The
knowledge of the quantum dot (QD) concentration in a colloidal
suspension and the quantitative understanding of the size-dependence
of the band gap of QDs are of crucial importance from both applied
and fundamental viewpoints. In this work, we investigate the size-dependence
of the optical properties of nearly spherical wurtzite (wz) CuInS2 (CIS) QDs in the 2.7 to 6.1 nm diameter range (polydispersity
≤10%). The QDs are synthesized by partial Cu+ for
In3+ cation exchange in template Cu2–xS nanocrystals, which yields CIS QDs with very small
composition variations (In/Cu = 0.91 ± 0.11), regardless of their
sizes. These well-defined QDs are used to investigate the size-dependence
of the band gap of wz CIS QDs. A sizing curve is also constructed
for chalcopyrite CIS QDs by collecting and reanalyzing literature
data. We observe that both sizing curves follow primarily a 1/d dependence. Moreover, the molar absorption coefficients
and the absorption cross-section per CIS formula unit, both at 3.1
eV and at the band gap, are analyzed. The results demonstrate that
the molar absorption coefficients of CIS QDs follow a power law at
the first exciton transition energy (εE1 = 5208d2.45) and scale
with the QD volume at 3.1 eV. This latter observation implies that
the absorption cross-section per unit cell at 3.1 eV is size-independent
and therefore can be estimated from bulk optical constants. These
results also demonstrate that the molar absorption coefficients at
3.1 eV are more reliable for analytical purposes, since they are less
sensitive to size and shape dispersion.