Introduction

The search of novel materials for the photoelectrochemical (PEC) devices has gained increasing interest in the solar energy conversion [13]. The delafossites Cu+M3+O2 where M is commonly a first-row transition metal have drawn considerable attention because of their potential applications in many areas like thermoelectricity [4], optoelectronic devices [5], energetic fuels [6], and more recently, environmental protection [7]. The structure of CuMO2 is highly anisotropic with infinite [MO2] layers extending in the basal plans and presents an interest both from the basic and applied point of view. The small gap (Eg) and the chemical stability make them attractive for PEC applications. Both the valence and conduction band are made up of Cu-3d orbital, which are pH-insensitive [8], and this property has yet been exploited for the water splitting [9]. However, whereas the semi conducting properties of single crystal has given rise to some studies and interpretations, the PEC characterization has not been reported before now. The oxide is expected to be insulating, but the transport properties can be slightly tailored by oxygen insertion in the Cu-plans, giving the opportunity for characterizing the oxide photoelectrochemically [10]. In addition, the effect of anisotropy of delafossite in the electrochemical behavior is not well understood yet, and the intrinsic properties can be obtained only on single crystal.

In a previous paper, we reported the physical properties of CuAlO2 [11]. In extension, the present paper deals with CuCrO2 single crystals elaborated by the flux method under oxygen-free atmosphere, the physical properties and PEC characterization. CuCrO2 is the most stable oxide among the congeners investigated nowadays. A slight deviation from the stoichiometry improves the electrical conductivity [12] and permits the PEC characterization.

Experimental

The growth of single crystals has been performed in a platinum crucible standing in a vertical programming furnace under argon flow to prevent oxidation of Cr(III). A mixture of extra pure CuO (10 g Merck, dried at 400 °C) and Cr2O3 (30 g Fluka, prefired at 600 °C) was heated at 1,160 °C (60 °C/h) and maintained 12 h at that temperature. The cooling rate (1.5 °C h−1) was controlled from 1,140 to 700 °C below which the sample was cooled to room temperature by turning off the furnace. The chemical composition of crystals was confirmed by electronic microprobe analysis. The electrical contact on (001) oriented single crystal was made with silver cement. Dielectric measurements as a function of temperature were performed using Agilent 4263 B LCR Meter. The temperature dependence of the thermopower (S = ΔV/ΔT) was determined in a home-made equipment, the induced emf ΔV was measured by a differential electrometer (Tacussel ARIES 2000) with an input impedance of 1012 Ω. The precision was dependant on the quality of thermal contact, and the crystal was held between sinks to ensure good electrical and thermal contact. The small heat conductivity made it possible to use a large temperature gradient and to continue the measurement down to liquid nitrogen temperature.

For PEC study, the crystal was encapsulated in Teflon insulation with epoxy resin. The intensity-potential J(V) characteristics and impedance measurements were performed in a double-walled electrochemical cell, connected to a thermostated bath whose temperature was regulated at 25 °C. Pt electrode (Tacussel) served as auxiliary electrode and the potential of the working electrode (WE) was controlled by a Voltalab PGZ301 potentiostat (Radiometer). A saturated calomel electrode (SCE) connected to the solution via a salt bridge was used as reference electrode. The KOH (0.5 M) solution, used for its high electro-conductivity, was continually flushed by nitrogen. Unless stated otherwise, the potential scan was 10 mV s−1. The capacitance was determined as a function of the potential with a rate of 10 mV step−1. To facilitate the light transmission, WE was positioned midway between the anode and the cell. WE was irradiated through a flat optical window by a 650 W halogen lamp (Dyr. General Electric), whose output was passed through a series of filters (PHYWE). The flux intensity was measured with a calibrated light meter (Testo 545). The solutions have been prepared from reagents of analytical grade quality and distilled water.

Results and discussion

Single crystals with platelet morphology are black in appearance with a typical size of 0.2 × 0.3 × 0.02 mm3. CuCrO2 crystallizes in a rhombohedral symmetry with the space group \( R\,\overline 3 m\left( {{D^{{5}}}_{\rm{3d}}} \right) \). The lattice constants in the hexagonal description: a h = 0.297(4) and c h = 1.710(1) nm, agree with those of the literature data [13]. The structure can be visualized as close-packed layers of Cr3+ sharing common edges octahedra (Fig. 1). The layers are linked to each other by linear CuO 3-2 ‘dumb-bell’ unit parallel to c-axis. Three (CrO6) layers are sandwiched between Cu monolayer giving CuCrO2 anisotropic properties. Crystallographic data, selected inter-atomic distances, and bond angles of CuCrO2 are given in Table 1. The bond lengths Cu-O (0.1881 nm) and Cr-O (0.1972 nm) are in perfect agreement with those calculated from the Shannon ionic radii, respectively (0.1850 nm) and (0.1987 nm): \( ^{\rm{II}}{\hbox{C}}{{\hbox{u}}^{ + }} = { }0.0{46} \), \( ^{\rm{VI}}{\hbox{C}}{{\hbox{r}}^{{{3} + }}} = { }0.0{615} \) and \( ^{\rm{II}}{{\hbox{O}}^{{{2} - }}} = { }0.{\hbox{138 nm}} \), II, VI, and IV are the coordination numbers. The closeness of the Cu-O lengths confirms the ionicity of the chemical bond.

Fig. 1
figure 1

a Crystal structure of the delafossite CuCrO2; b Unit cell of one polymorph of the delafossite structure, the layers of Cu+ and CrO2 are stacked alternatively along the [001] direction; c Energies of the Cu-3d orbitals in a linear field CuO 3-2

Table 1 Structural data relative to CuCrO2 single crystal

Cu+ has d 10 closed-shell configuration and the distance Cu+–Cu+, equal to a-parameter, is larger than the inter-ionic cation of 3d overlap below, which itinerant electrons ensues (0.1565 nm)Footnote 1 and the oxide is expected to be insulating. However, the electrical properties of CuCrO2 are slightly enhanced by oxygen intercalation. Indeed, the 2D structure offers a pathway with reduced activation energy for oxygen diffusion. The holes concentration is based on a charge balance on the assumption that each inserted O2− yields two holes to the valence band. The conductivity is highly anisotropic, being much greater perpendicular to the c-axis with a conductivity σ of 3.36 × 10−5 Ω−1 cm−1. σ increases with increasing temperature (Fig. 2) and obeys to an exponential law \( (\sigma T = {\sigma_{\rm{o}}}{e^{ - }}{^{E{\sigma \bot /RT}}}) \) indicating semi-conducting like behavior. At high temperatures, the evolution is not monotonic and the slope d logσ/d (1/T) decreases with decreasing temperature. An activation energy E σ⊥ of 50 meV was calculated in the temperature range (300–350 K). The relaxation time for dipole movement is high, and the dielectric constant (ε) is attributed to the large dimension of single crystal; it is low and is due to the electronic polarizability and to the existence of a space charge region (Fig. 3).

Fig. 2
figure 2

A close view of log (σT) vs 1,000/T plot of CuCrO2

Fig. 3
figure 3

The thermal variation of the dielectric constant at various frequencies

The low conductivity indicates that the Cu: 3d electrons are strongly localized as evidenced by the large thermopower (Fig. 4). The conduction occurs predominantly by low polaron hopping between mixed-valences Cu+/2+ based on a strong lattice distortion [14], and in such a case, the thermopower is given by [15]:

$$ S = \left( {\frac{k}{e}} \right)\frac{{\Delta {E_{ \bot }}}}{{kT}} + A = \left( {\frac{k}{e}} \right)\ln \left( {\frac{{{N_O}}}{{{N_A}}}} \right) $$
(1)

where A is dimensionless constant, which depends on the scattering mechanism. N o is the density of available sites, assimilated to the Cu+ concentration (2.08 × 1022 cm−3) and calculated from the experimental density of poly crystal (5.35 g cm−3) and N A is the density of polarons taking part in the conduction process. At 250 K, the S value (2,070 μV K−1) gives an activation energy E S⊥ basal plane of 517 meV and a ratio N A /N o of 2.43 × 10−8. The large difference in the energies between E σ⊥ and E S⊥ is the hallmark of mechanism by small polaron hopping conduction where nearly all Cu2+ acceptors are localized at room temperature, i.e., most holes are trapped in surface-state polarons. The holes move in the narrow Cu-3d band, not exceeding 2 eV leading to a low mobility μ h (0.41 cm2 V−1 s−1), calculated from the relation (σ = e μ h N A ). Cu2+ has been observed by electron paramagnetic resonance in polycrystal and may contribute to lower the mobility. The mobility in single crystal is higher than in ceramic, since it is not limited by the grain boundaries. The synthesis was performed under argon atmosphere, and the doping level is relatively small. Therefore, E value suggests that the Fermi level shifts away from the valence band, and this means that the crystal approaches intrinsic-type conductivity with no shallow levels. Based on the Ioffe–Regel criteria, Mott outlined that for insulating materials, the disorder is large enough that the quantity (k f l) becomes less than unity, k f being the wave vector and l the mean-free path. The small polaron has low mobility and behaves like heavy particle with a finite mean-free path (l). The enhanced effective mass \( m*{ }\left( {\sim { 9}{m_{\rm{o}}}} \right) \) Footnote 2 is due to the fact that the impurity band, originating from oxygen insertion, does not merge with the valence band and indicates a high density of states at the Fermi level E f, m o being the electron rest mass.

Fig. 4
figure 4

Thermal dependence of the thermopower of CuCrO2

The oxide is chemically stable and does not dissolve even in strong mineral acids like HClO4. The (001) plan has been used as active surface and the electrokinetic parameters deduced from the semi-log plot (Fig. 5 inset) gave an exchange current density of 0.7 mA cm−2 and a corrosion potential of 0.18 VECS. Much less is known about the oxygen intercalation in delafossites. A typical cyclic J(V) curve (Fig. 5) shows a rectifying junction at the electrolyte contact. The barrier nature is considered to be of Schottky-type (chemical diode) with a dark current J d less than 0.1 mA cm−2. Oxygen over stoichiometry is rather common, depending on the nature of the M cation, and CuMO2+x belong to class I in the Day and Robin classification, i.e., mixed valences in non-equivalent crystallographic sites. x can reach values as high as 0.6, involving consequently order–disorder phenomena [16]. Electrons are coming out from the copper planes, and the electrochemical reaction can be written:

$$ {\hbox{CuCr}}{{\hbox{O}}_{{2}}} + { 2}\tau {\hbox{O}}{{\hbox{H}}^{ - }} \to {\hbox{CuCr}}{{\hbox{O}}_{{{2} + }}}_{\tau } + \tau {{\hbox{H}}_{{2}}}{\hbox{O }} + { 2}\tau {{\hbox{e}}^{ - }} $$
(2)

where τ stands for the amount of intercalated oxygen. The presence of two peaks indicates that Cu+/2+ comes from two kinds of non-equivalent crystallographic sites. The existence of Cu3+ is doubtful in CuCrO2 and one can anticipate that Cu2+ originating from oxygen insertion becomes less coordinate and easy to oxidize (peak −0.41 V, O1) because of the lower potential barrier for the electron hopping than that coming from inside the lattice (peak −0.14 V, O2). The charge under the peak O1, measured by area integration (~1.73 mC cm−2) corresponds to the oxidation of ~1016 at Cu+ cm−2. The electrochemical peaks corroborate the weak delocalization of the Cu: 3d electrons in conformity with the semi-conducting character of the single crystal. On the reverse scan, the two peaks located at −0.41 V (R2) and −0.75 V (R1) correspond respectively to the reversible reductions (O2 and O1) followed by oxygen desintercalation and below −1.2 V, the current shoots up drastically owing to the hydrogen evolution.

Fig. 5
figure 5

Cyclic voltammetry of CuCrO2 in KOH (0.5 M). Scan rate 10 mV/s. Inset: Semi-logarithmic plot log(J)-V

The increase of the photocurrent (J ph), along the cathodic polarization lends a further support of p type conductivity. At sufficient negative potentials, J ph reaches a limiting value, the magnitude of which was found to depend only on the flux intensity. Below −0.9 V, J ph is superimposed to hydrogen evolution. The total capacitance is given by:

$$ {C^{{ - {1}}}} = { }{\left( {{C_{\rm{H}}}} \right)^{{ - {1}}}} + { }{\left( {{C_{\rm{SC}}}} \right)^{{ - {1}}}} $$
(3)

where C H and C SC are respectively the capacitances of Helmoltz and space of charge region. Due to the low dielectric constant, one has C H>> C SC and the term 1/C H can be neglected. Hence, the capacitance at the interface is given by the Mott–Scottcky relation:

$$ \frac{1}{{{C_{{SC}}}^2}} = \pm \frac{2}{{e\varepsilon {\varepsilon_0}{N_A}}}\left( {V - {V_{{fb}}} - \frac{{kT}}{e}} \right) $$
(4)

The symbols are assigned to their usual significations. The negative slope confirms the p type character (Fig. 6) of CuCrO2 crystal. The linear behavior (C−2-V) indicates a constant holes density N A (5.06 × 1014 cm−3), whereas the flat-band potential V fb (0.21 V) was deduced from the intersection of C−2 with the potential axis. The curvature for potential greater than ~0.25 V implies a predominance of the recombination process when one approaches the potential V fb from below, while for potentials anodic of ~0.3 V, the recombination process of (electron/hole) pairs takes place preferentially. The position of the valence band is given by:

$$ {4}.{75 } + e{V_{\rm{fb}}} + { }0.0{56 }\left( {pH - p{H_{\rm{pzc}}}} \right){ } + {E_{ \bot }} $$
(5)

pHpzc is the pH at the point of zero charge (pH–pHpzc = 5.9) and 4.75 was the free energy of the electron vs. SCE. The valence band edge was therefore: 5.3 ± 0.05 eV below the vacuum level and is made up mainly of Cu-3d orbitals. The electronic bands are predominantly Cu-3d orbital with a separation characterized by strength of the ligand field. Cu+ is linearly coordinated and the band diagram is determined by CuO 3-2 unit, where only the transition \( ({\hbox{C}}{{\hbox{u}}^{ + }} \to {\hbox{C}}{{\hbox{u}}^{ + }}) \) can be involved in the energy range considered. It is of interest to describe briefly the origin of this trend in terms of the band structure. The degeneracy lift is determined by the linear field that splits the five Cu-3d orbital into a set of lower energy d xy level, followed by \( {d_{{{x^2} - {y^2}}}} \) and a set of doubly degenerate d xz and d yz separated from the higher \( {d_{{{z^2}}}} \) manifold by 1 eV (see Fig. 1. inset).

Fig. 6
figure 6

The Mott–Schottky plot of CuCrO2 in KOH (0.5 M) electrolyte

The strong hybridization raises the antibonding σ* energy

The electrode was polarized at −0.44 V, and the quantum yield (η) was evaluated by dividing the electron flow in the external circuit (photocurrent subtracted from the dark current) by the incident photons flux (Φ o) determined at each wavelength:The spectral photo-response has been measured in the range 400–1,000 nm and η is given by:

$$ {\left( {\eta {\hbox{h}}\nu } \right)^{{2/m}}} = A\left( {{\hbox{h}}\nu - E{\hbox{g}}} \right) $$
(6)

m is equal to 1 or 4, respectively, for direct and indirect transitions. The plot of (ηhν)m against the incident energy hν allows the determination of both the nature and the value of the transition. The indirect optical gap Eg (2.12 eV) is determined from the cross point of the extended plot of (ηhν)1/2 with the hν-axis (Fig. 7). The higher energy given in the literature [17] corresponds to the charge transfer O2−: 2p (oxygen) → 3d (Cu2+).

Fig. 7
figure 7

The quantum efficiency of (hνη)0.5 vs. the incident photon (hν)

Conclusion

The physical and photoelectrochemical properties of CuCrO2 single crystal elaborated by the flux method have been investigated for the first time. The structure is anisotropic and the study was confined on the (001) crystallographic planes. The order of magnitude of the conductivity and thermopower showed semi-conducting like properties, and the conduction occurs by small hopping polaron. The reversibility of oxygen insertion was proven by electrochemical peaks in the intensity-potential characteristics. The cathodic photocurrent confirmed p type conductivity. The PEC characterization indicated an upper valence formed of copper orbital. The spectral dependence of the quantum efficiency has been analyzed to give the energy of the inter-band transitions.