Angewandte
Chemie
tetrahedral environment (SI). We explored different possi-
bilities such as cationic-site substitution by Cu in a CdS lattice,
Cu occupation at interstitial positions, and surface precipita-
tion to understand the local environment of NCs (SI).
Additionally, we have accounted for the effect of metal–
metal correlations (Cu–Cu, Cu–Cd, and Cd–Cd) and surface
oxidation. The final model considers single scattering con-
tributions from the closest near neighbor Cu–S and Cd–S
correlations (Fit 1 and Fit 2, and Table S1 of the SI). Since the
nearest atomic connectivities are strongly dictated by the
local geometry, the shorter Cu–S distance can be well
attributed to the smaller ionic radius of Cu1+ (0.74 ꢀ)
compared to Cd2+ (0.92 ꢀ). The overall NC still maintains
a global cubic symmetry with a Cd-rich core and a Cu-rich
surface, thus lowering the Cu–S coordination number. On the
other hand, Cd is residing largely in the interior maintaining
tetrahedral connectivity in an ideal bulk cubic fcc lattice. Our
final results indicate Cu as substitution impurity at the Cd
sites, or occupying the S-coordinated high-symmetry inter-
stitial sites, or both, residing largely near to the surface of the
NCs.
Correlating the structural information from crystallogra-
phy and the EXAFS results with analytical calculations, we
calculated the fraction of Cu and Cd atoms in the core and
surface assuming 4-S coordination in the core and 2-S
coordination at the surface. We found a Cu-rich surface
(76% Cu and 24% Cd) and a Cd-rich interior (12% Cu and
88% Cd), which clearly explains the lower bond distance and
reduced coordination number for Cu–S correlations, whereas
near-ideal Cd–S correlations were found for a cubic CdS. Our
results suggest ca. 54% CuI residing at the surface, whereas
the remaining CuI ( ꢀ 46%) participates in alloying within
84% of the entire NC volume defining a Cu-rich surface.
Clearly, these results exclude the formation of a conventional
core–shell NC structure. Additionally, small disorder (pseudo
Debye–Waller factor values), low bond distance errors, and
small energy shifts rule out the possibility of gradient alloy
formation.[34] Hence we conclude that our NCs are inhomo-
geneous CuCdS alloys containing a dramatic difference of Cu
to Cd ratio at the surface (3.2:1) and interior (0.14:1).
Hence the band structure of NCs should contain signa-
tures of the alloyed states. However, the contribution from
the interior will be CdS-dominated, whereas the contribution
from surface will be Cu2S-like considering the Cd-rich interior
and Cu-rich surface. Based on this, we have modeled a band
diagram with bulk CdS and Cu2S while accounting the shift of
the VB and CB edges of NCs due to the confinement effect
accordingly to fit with the observed transition energies
(Figure 2d and SI).[27] The band diagram shows the existence
of alloyed states (Cualloy,VB and Cualloy,CB) on the top of CdSVB
and below the CdSCB (Figure 2d). Indeed the excitation-
dependent PL spectroscopy (Figure 2a) showed the existence
Figure 2. a) Excitation-dependent PL spectra of CuCdS NCs with
excitation energies spanning from 4.4 eV to 2.4 eV. b) Overlay plots of
R-space oscillations for both Cd-K and Cu-K edges for CuCdS NCs at
298 K. c) The real component of the R-space data and the correspond-
ing fits (lines) to the Cd-K edge (open circles) and the Cu-K edge
(open triangles) for CuCdS NCs. Hanning window over the fit range
(1.0–2.8 ꢀ) in R-space is shown by dotted lines. d) Schematic band
diagram of bulk CdS, Cu2S, and CuCdS NCs with the possible
absorption, PL, and PLE pathways. The VB edges of both CdS and
Cu2S are kept at energies as near to bulk values considering their large
hole effective masses,[32] whereas the CB edges are shifted to accom-
modate the confinement-induced band gap. Existence of additional
alloyCB and alloyVB states in the NCs are marked by horizontal lines.
The band gap of bulk CdS, Cu2S, and the Cu state positions are
collected from literature.[27,33]
CdS lattice by CuI. Both of these possibilities are feasible
considering the ionic radii of Cd2+ (0.92 ꢀ) and Cu1+ (0.74 ꢀ).
However, occupation of the interstitial positions would result
in an excess of cations in the NCs, which perhaps is reflected
by the elemental analyses showing distinct signature of anion
deficiency.
We have probed the internal structure of NCs by EXAFS
measurements at the Cu-K and Cd-K edges (SI). We
extracted bond distances, coordination numbers, pseudo
Debye–Waller factors, and energy shifts for relevant atom
pair correlations using cubic CdS and Cu1.95S (F-43m) for
modeling considering the extremities of alloy formation.[29,30]
The dissimilarities in major frequency components between
the k-space oscillations for the Cd-K and Cu-K edges of the
NCs suggest different local atomic connectivities around the
metal atoms (Figure S7). The magnitude of Fourier trans-
forms (R-space oscillations) shows an apparent shortening of
the bond distances (Figure 2b) corresponding to the well-
known phase shift.[31] The real component of the R-space and
the corresponding fits to the Cd-K and Cu-K edges for CuCdS
NCs are shown in Figure 2c. Strikingly enough, we find that
the local parameters of Cd closely match to cubic CdS,
whereas the Cu–S distances appear ca. 0.3 ꢀ shorter com-
pared to Cd–S distances (Figure 2b) and the corresponding
coordination number is lowered compared to an ideal
of energy states on the top of CdSVB and/or below the CdSCB
.
The absorption supposedly takes place from the states CdSVB
/
Cualloy,VB to CdSCB/Cualloy,CB, whereas the PL originates from
the Cualloy,CB to Cualloy,VB leading to two-level transition
pathways distinct from a type-I band structure.[12] The
absorption is governed by CdS states owing to the larger
absorption cross section. One might expect two PLE peaks
Angew. Chem. Int. Ed. 2015, 54, 2643 –2648
ꢀ 2015 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim
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