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Journal of Ceramics
Volume 2013 (2013), Article ID 734015, 6 pages
The Lattice Compatibility Theory: Arguments for Recorded I-III-O2 Ternary Oxide Ceramics Instability at Low Temperatures beside Ternary Telluride and Sulphide Ceramics
École Supérieure de Sciences et Techniques de Tunis (ESSTT), Université de Tunis, 63 Rue Sidi Jabeur, 5100 Mahdia, Tunisia
Received 29 October 2012; Revised 13 December 2012; Accepted 15 December 2012
Academic Editor: Joon-Hyung Lee
Copyright © 2013 K. Boubaker. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Some recorded behaviours differences between chalcopyrite ternary oxide ceramics and telluride and sulphides are investigated in the framework of the recently proposed Lattice Compatibility Theory (LCT). Alterations have been evaluated in terms of Urbach tailing and atomic valence shell electrons orbital eigenvalues, which were calculated through several approximations. The aim of the study was mainly an attempt to explain the intriguing problem of difficulties of elaborating chalcopyrite ternary oxide ceramics (I-III-O2) at relatively low temperatures under conditions which allowed crystallization of ternary telluride and sulphides.
I-III-VI2 ternary ceramics are attractive materials in possible photovoltaic and optoelectronic applications [1–9] like coating films for IR reflection, smart windows, functional glasses, transparent electrodes in flat panel displays, and solar cells [10, 11]. During the last two decades, p-type ternary transparent conducting oxide ceramics, like CuAlO2, CuInO2, AgAlO2, and ZnAlO2, have attracted more and more attention for their high absorption coefficient as well as their band gap energy (1.8–3.5 eV). Currently, many experimental efforts are underway to search for new p-type TCOs. In 1997, Kawazoe et al.  elaborated p-type CuAlO2 films resistivity of 10.5 Ω cm, which is ten times less than that of typical ZnO , the most available candidate for similar applications.
p-type Cu-Al-O-like ceramics have been prepared by several techniques. Pulsed laser deposition , sputtering , more information of these two techniques will be introduced in the following sections.
In our laboratories, we tried to elaborate Cu-Al-O-like ceramics using wet techniques (Spray, vaporization, etc.) at relatively low temperatures (300–450°C). After hundreds of attempts, we came to the conclusion that such temperature ranges are not suitable but for elaborating ternary oxides. Dlala et al. , succeeded to stabilize Ag2S thin films; Amlouk et al.  elaborated SnO2:F and CdS airless sprayed layers Khélia et al. , Kamoun et al. , and Amlouk et al.  fabricated and characterized β-SnS2 and compounds at low temperatures. Binary sulphide compounds such as Ag2S, Cu2S, SnS2, and In2S3 have been obtained in our laboratory in 200–320°C domain of temperature. Later, ternary sulphide compounds based on copper and silver which generally crystallized in chalcopyrite structure I-III-VI2 (CuInS2, AgInS2 ) were prepared, by Guezmir et al. , Kamoun et al. [22, 23], Aissa [24, 25], and Lazzez et al. , in substrate temperature lying in 340–420°C. Finally, Bouaziz et al. [27, 28] obtained Cu2SnS3 and Cu3SnS4 ternary compounds in 300–400°C domain.
The subject of this paper is an attempt to explain, starting from experimental facts, why was it impossible to stabilize ternary oxides under humid condition below 450°C, while both binary and ternary sulphides were easily obtained. This paper is arranged as follows. In Section 2, we present some experimental details concerning ternary oxide ceramics fabrication. In Section 3, the fundamentals of the lattice Compatibility Theory (LCT) are presented as a plausible explanation to ternary oxide ceramics unexpected instability at low temperatures. Conclusion will be appeared in Section 4.
2. Experimental Details
CuAlS2 thin films ceramics have been deposited on glass substrates using chemical bath deposition CBD technique with CuSO4, (NH2)2SC and hydrated Al2(SO4)3 as precursors. Commercial solutions of 0.10 M CuSO4(NH2)2, and 1.0 M (NH2)2SC, 0.1 M Al2(SO4)3·14H2O were used. A primal solution of CuSO4(NH2)2 with an excess triethanolamine was stirred for few minutes until colour changed, before adding a stirred Al2(SO4)3 solution. Substrate slides were finally immerged in the obtained dark orange black solution for 22 hours. Removal of the slides was carried out at room temperature and was followed by a few rinsing-drying stages. CuAlTe2 layers have been synthesized by annealing, under vacuum in an argon-rich medium, a multilayer structure of thin Cu, Al, and Te layers which were deposited by evaporation. A mixture of pure copper, aluminium, and tellurium weighed in stoichiometric ratios was sealed in a vacuum quartz tube. The tube was subjected to several 35 h annealing stages. CuAlTe2 layers were consecutively grown by the evaporation of the obtained powder under vacuum. More details about experimental procedure can be found elsewhere [21, 23, 24, 26–28]. Similar techniques and disposals have been used in order to synthesize CuAlO2. A wide variety of precursors, including mineral CuFeO2, high-purity CuO, Al2O3, and metallic Aluminium have been tried unsuccessfully in our laboratories, particularly at temperatures beyond 450°C.
3. Oxygen Beside Sulfur-Like Structural Disparity
3.1. Atomic Scale Patterns
In order to explain the mentioned paradox (Section 2), a quick comparative review of oxygen-sulfur properties is needed. While both elements have the same valence, oxygen electronegativity is 3.44, less than that of sulfur (2.58). Some other differences can be outlined:(i)O=O double bonds are stronger than S=S.(ii)S–S single bonds are almost twice as strong as O–O.(iii)Sulfur can expand its valence shell to hold more eight to twelve electrons.
The last difference has been illustrated by Carelli et al.  who stated that in combined media, ‘‘sulfur can expand its valence shell to produce a soft nucleophilic center’’ which refers to the so-called S-nucleophilicity. This property, accounts, in the case of I-III-O2 and I-III-S2 compounds for the ability of sulfur to expand its valence shell from 8 to 10 or 12 electrons using its available 3d orbitals, allowing oxidation states not available to its oxygen analogs (Figure 1).
Moreover, opposite to Cu–O bonding patterns, which obey a simple oxidation state formalism, Cu–S bonding systems have a high degree of delocalization resulting in additional electronic band structures (Figure 1) and are hence covalent rather than ionic.
Moreover, calculation of atomic valence shell electrons orbital eigenvalues for sulfur, oxygen, and tellurium in delafossite structures confirms this delocalization plausibility. Orbital eigenvalues were calculated through local density (LDA)  and scalar-relativistic local density (ScRLD)  approximations using OPIUM code [32, 33]. In the first approach, the many-electron configuration is approximated by a set of single-particle equations while the second takes into account some of the effects of relativity, such as Darwin shift and mass-velocity term.
Table 1 gathers atomic orbital eigenvalues (in eV) for oxygen, sulfur, and tellurium according to (LDA) and (ScRLD) approximations.
According to (LDA) and (ScRLD) calculations, most of Tellurium bonding in the valence region is accomplished by the 5p orbitals. The in-plane locally π-type 5p orbitals (Figure 2) form a narrowband between −0.2 and −0.3 eV, which is far below the Fermi energy. This range confirms the diffuse character of tellurium p-orbitals, which also confers to the lattice a covalent rather than ionic aspect.
Figure 3 shows the two-dimensional arrangement with Cu+ ions located between layers of octahedra. The structure is characterized by alternating layers of slightly distorted edge-shared (or ) octahedra sandwiching planes of close-packed A+ cations (here Cu+) in linear or “dumbbell” coordination to oxygen anions in the adjacent octahedra.
The difference in length between Cu–O and Cu–S bonds (24%) has been ascribed to the electrons being shifted to the orbital 3d. All these observations plea on favor of the presence of a delocalized valence “hole’’ favorizing natural bonding between two opposed octahedra planes (Figure 3) at low temperatures. If we consider the results of Liang et al. [34, 35], which stated that the Cu–Cu bonding character was very weak in such structures, we can conclude that the crystalline behavior of (Figure 3) and lattices depends mainly on is the status of A+ ion (here Copper). According to Landolt-Börnstein [36–38] and Greenwood and Earnshaw , any formulation of copper monosulphide as with no meaningful S–S bonds is incompatible both with the crystal structure, and the observed diamagnetism as a Cu(II) compound would have a d9 configuration and be expected to be paramagnetic. An alternative formulation as (Cu+)3(S2−)(S2)− was proposed and supported by other studies.
3.2. Urbach Energy and Lattice Compatibility Theory (LCT) Consideration
An additional argument can also be formulated through the recently proposed Urbach energy-related Lattice Compatibility Theory (LCT) [40–42]. Urbach energy has been determined, for the ternary oxides and telluride and sulphides samples through the equations: where represents, for each sample, the experimentally deduced optical absorption profile.
Urbach energy has been defined as an aggregated for the evaluating of the intrinsic disorder and atomic scale dispersion inside structures as it indicates the width of the band tails of the localized states in presence of defects. The width of the localized states (band tail energy or Urbach energy ) has been estimated from the slopes of the plots of versus energy (Figure 4).
It can be noticed that the atomic-scale intrinsic disorder is higher in CuAlS2 and CuAlTe2 than in films, and disposals have been used in order to synthesize CuAlO2 matrices. This result is in good agreement with the precedent analyses and with the fundaments of the Lattice Compatibility Theory (LCT) [40–42].
Finally, additional investigation should be carried out in order to explain the need of calcination (at 1200°C , 800°C , and 900°C ), as un avoidable step for establishing stable structures, while are autostabilized at low temperatures apparently, thanks to the above-described valence “hole.’’
In this study, we tried to give some explanation to the intriguing problem of the impossibility of elaborating chalcopyrite ternary oxide ceramics (I-III-O2) at relatively low temperatures in wet media. Contrast has been highlighted with regard to ternary telluride and sulphide ceramics. An attempt to explain this paradox has been formulated in terms of particularities of and ceramics delafossite structure and bonding interaction.
- M. Singh, A. R. Rao, and V. Dutta, “Effect of pH on structural and morphological properties of spray deposited p-type transparent conducting oxide CuAlO2 thin films,” Materials Letters, vol. 62, no. 21-22, pp. 3613–3616, 2008.
- T. Mei, J. Zhang, L. Wang, Z. Xing, Y. Zhu, and Y. Qian, “Preparation of mixed oxides Ca9Co12O28 and their electrochemical properties,” Materials Letters, vol. 82, pp. 1–3, 2012.
- Z. F. Zhang, Z. M. Sun, and H. Hashimoto, “Deformation and fracture behavior of ternary compound Ti3SiC2 at 25–,” Materials Letters, vol. 57, no. 7, pp. 1295–1299, 2003.
- Y. F. Zhang, J. X. Zhang, Q. M. Lu, and Q. Y. Zhang, “Synthesis and characterization of Ca3Co4O9 nanoparticles by citrate sol-gel method,” Materials Letters, vol. 60, no. 20, pp. 2443–2446, 2006.
- S. Matar, M. Lelogeas, D. Michau, and G. Demazeau, “Investigations on the high-pressure varieties of GaAsO4,” Materials Letters, vol. 10, no. 1-2, pp. 45–48, 1990.
- F. M. Túnez, J. A. Gamboa, J. A. González, and M. Esquivel, “A new polymorph of GaAsO4,” Materials Letters, vol. 79, pp. 202–204, 2012.
- A. N. Banerjee, R. Maity, and K. K. Chattopadhyay, “Preparation of p-type transparent conducting CuAlO2 thin films by reactive DC sputtering,” Materials Letters, vol. 58, no. 1-2, pp. 10–13, 2003.
- S. Gao, Y. Zhao, P. Gou, N. Chen, and Y. Xie, “Preparation of CuAlO2 nanocrystalline transparent thin films with high conductivity,” Nanotechnology, vol. 14, no. 5, pp. 538–541, 2003.
- Y. Q. Chen, J. Jiang, B. Wang, and J. G. Hou, “Synthesis of tin-doped indium oxide nanowires by self-catalytic VLS growth,” Journal of Physics D, vol. 37, pp. 3319–3322, 2004.
- S. Y. Li, P. Lin, C. Y. Lee, T. Y. Tseng, and C. J. Huang, “Effect of Sn dopant on the properties of ZnO nanowires,” Journal of Physics D, vol. 37, pp. 2274–2282, 2004.
- M. Liu, J. Yang, S. Feng et al., “Composite photoanodes of Zn2SnO4 nanoparticles modified SnO2 hierarchical microspheres for dye-sensitized solar cells,” Materials Letters, vol. 76, pp. 215–218, 2012.
- H. Kawazoe, M. Yasukawa, H. Hyodo, M. Kurita, H. Yanagi, and H. Hosono, “P-type electrical conduction in transparent thin films of CuAlO2,” Nature, vol. 389, no. 6654, pp. 939–942, 1997.
- K. Minegishi, Y. Koiwai, Y. Kikuchi, YanoK, and A. Shimizu, “Characterization of interface electronic properties of low-temperature ultrathin oxides and oxynitrides formed on Si(111) surfaces by contactless capacitance-voltage and photoluminescence methods,” Journal of Applied Physics, vol. 36, pp. 1453–1460, 1997.
- D. M. Hoffman, B. Singh, and J. H. Thomas, Handbook of Vacuum Science and Technology, Academic Press, San Diego, Calif, USA, 1998.
- R. A. Powell and S. M. Rossnagel, PVD for Microelectronics: Sputter Deposition Applied to Semiconduct or Manufacturing, Academic Press, San Diego, Calif, USA, 1999.
- H. Dlala, M. Amlouk, S. Belgacem, P. Girard, and D. Barjon, “Structural and optical properties of Ag2S thin films prepared by spray pyrolysis,” EPJ Applied Physics, vol. 2, no. 1, pp. 13–16, 1998.
- M. Amlouk, M. Dachraoui, S. Belgacem, and R. Bennaceur, “Structural, optical and electrical properties of SnO2:F and CdS airless sprayed layers,” Solar Energy Materials, vol. 15, no. 6, pp. 453–461, 1987.
- C. Khélia, K. Boubaker, T. Ben Nasrallah et al., “Morphological and thermal properties of β-SnS2 crystals grown by spray pyrolysis technique,” Journal of Crystal Growth, vol. 311, no. 4, pp. 1032–1035, 2009.
- N. Kamoun, S. Belgacem, M. Amlouk et al., “Structure, surface composition, and electronic properties of β-In2S3 and β-In2-xAlxS3,” Journal of Applied Physics, vol. 89, no. 5, pp. 2766–2771, 2001.
- M. Amlouk, M. A. Ben Saïd, N. Kamoun, S. Belgacem, N. Brunet, and D. Barjon, “Acoustic properties of β-In2S3 thin films prepared by spray,” Japanese Journal of Applied Physics, Part 1, vol. 38, no. 1, pp. 26–30, 1999.
- N. Guezmir, T. B. Nasrallah, K. Boubaker, M. Amlouk, and S. Belgacem, “Optical modeling of compound CuInS2 using relative dielectric function approach and Boubaker polynomials expansion scheme BPES,” Journal of Alloys and Compounds, vol. 481, no. 1-2, pp. 543–548, 2009.
- N. Kamoun, R. Bennaceur, M. Amlouk et al., “Optical properties of InS layers deposited using an airless spray technique,” Physica Status Solidi A, vol. 169, no. 1, pp. 97–104, 1998.
- N. Kamoun, S. Belgacem, M. Amlouk, R. Bennaceur, K. Abdelmoula, and A. Belhadj Amara, “Structural and morphological characterizations of airless spray CuInS2 and InS thin films,” Journal de Physique, vol. 4, no. 3, pp. 473–491, 1994.
- Z. Aissa, M. Amlouk, T. Ben Nasrallah, J. C. Bernède, and S. Belgacem, “Effect of S/In concentration ratio on the physical properties of AgInS2-sprayed thin films,” Solar Energy Materials and Solar Cells, vol. 91, no. 6, pp. 489–494, 2007.
- Z. Aissa, T. Ben Nasrallah, M. Amlouk, J. C. Bernède, and S. Belgacem, “Some physical investigations on AgInS2 sprayed thin films,” Solar Energy Materials and Solar Cells, vol. 90, no. 7-8, pp. 1136–1146, 2006.
- S. Lazzez, K. Boubaker, T. B. Nasrallah et al., “Structural and optoelectronic properties of In-Zn-S sprayed layers,” Acta Physica Polonica A, vol. 114, no. 4, pp. 869–880, 2008.
- M. Bouaziz, K. Boubaker, M. Amlouk, and S. Belgacem, “Effect of Cu/Sn concentration ratio on the phase equilibrium-related properties of Cu-Sn-S sprayed materials,” Journal of Phase Equilibria and Diffusion, vol. 31, no. 6, pp. 498–503, 2010.
- M. Bouaziz, M. Amlouk, and S. Belgacem, “Structural and optical properties of Cu2SnS3 sprayed thin films,” Thin Solid Films, vol. 517, no. 7, pp. 2527–2530, 2009.
- V. Carelli, F. Liberatore, L. Scipione, R. Musio, and O. Sciacovelli, “On the structure of intermediate adducts arising from dithionite reduction of pyridinium salts: a novel class of derivatives of the parent sulfinic acid,” Tetrahedron Letters, vol. 41, no. 8, pp. 1235–1240, 2000.
- S. H. Vosko, L. Wilk, and M. Nusair, “Accurate spin-dependent electron liquid correlation energies for local spin density calculations: a critical analysis,” Canadian Journal of Physics, vol. 58, p. 1200, 1980.
- D. D. Koelling and B. N. Harmon, “A technique for relativistic spin-polarised calculations,” Journal of Physics C, vol. 10, no. 16, pp. 3107–3114, 1977.
- H. Dixit, R. Saniz, D. Lamoen, and B. Partoens, “The quasiparticle band structure of zincblende and rocksalt ZnO,” Journal of Physics: Condensed Matter, vol. 22, no. 12, Article ID 125505, 2010.
- S. H. Vosko and L. Wilk, “Influence of an improved local-spin-density correlation-energy functional on the cohesive energy of alkali metals,” Physical Review B, vol. 22, no. 8, pp. 3812–3815, 1980.
- W. Liang and M. H. Whangbo, “Conductivity anisotropy and structural phase transition in Covellite CuS,” Solid State Communications, vol. 85, no. 5, pp. 405–408, 1993.
- H. Nozaki, K. Shibata, and N. Ohhashi, “Metallic hole conduction in CuS,” Journal of Solid State Chemistry, vol. 91, no. 2, pp. 306–311, 1991.
- Landolt-Börnstein: Numerical Data and Functional Relationships in Science and Tech, New Series, II/16, Diamagnetic Susceptibility, Springer, Heidelberg, Germany, 1986.
- Landolt-Börnstein: Numerical Data and Functional Relationships in Science and Technology, New Series, III/19, Subvolumes a to i2, Magnetic Properties of Metals, Springer, Heidelberg, Germany, 1986–1992.
- Landolt-Börnstein: Numerical Data and Functional Relationships in Science and Technology, New Series, II/2, II/8, II/10, II/11,and II/12a,Coordination and Organometallic Transition Metal Compounds, Springer, Heidelberg, Germany, 1966-1984.
- N. N. Greenwood and A. Earnshaw, Chemistry of the Elements, Butterworth-Heinemann, Oxford, UK, 2nd edition, 1997.
- P. Petkova and K. Boubaker, “The Lattice Compatibility Theory (LCT): an attempt to explain Urbach tailing patterns in copper-doped bismuth sillenites (BSO) and germanates (BGO),” Journal of Alloys and Compounds, vol. 546, pp. 176–179, 2013.
- K. Boubaker, “Preludes to the Lattice Compatibility Theory LCT: urbach tailing controversial behavior in some nanocompounds,” ISRN Nanomaterials, vol. 2012, Article ID 173198, 4 pages, 2012.
- K. Boubaker, M. Amlouk, Y. Louartassi, and H. Labiadh, “About unexpected crystallization behaviors of some ternary oxide and sulfide ceramics within lattice compatibility theory LCT framework,” Journal of the Australian Ceramic Society, vol. 49, no. 1, pp. 115–117, 2013.
- A. Nattestad, X. Zhang, U. Bach, and Y. Cheng, “Dye-sensitized CuAlO2 photocathodes for tandem solar cell applications,” Journal of Photonics for Energy, vol. 1, no. 1, Article ID 011103, 2011.
- J. E. Clayton, D. P. Cann, and N. Ashmore, “Synthesis and processing of AgInO2 delafossite compounds by cation exchange reactions,” Thin Solid Films, vol. 411, pp. 140–146, 2002.
- K. Y. Jung, S. B. Park, and S. K. Ihm, “Local structure and photocatalytic activity of B2O3-SiO2/TiO2 ternary mixed oxides prepared by sol-gel method,” Applied Catalysis B, vol. 51, no. 4, pp. 239–245, 2004.