Preparation and Crystal Structures of Some AIVB 2 IIO 4 Compounds : Powder X-Ray Diffraction and Rietveld Analysis

TheAIVB 2 IIO 4 compounds such as cadmium tin oxide (Cd 2 SnO 4 or CTO) and zinc tin oxide (Zn 2 SnO 4 or ZTO) are synthesized by solid state reaction of the subsequent binary oxides. The synthesized powders were analyzed through the powder X-ray diffraction (PXRD). Cell search done on the PXRD patterns shows that the Cd 2 SnO 4 crystallizes in orthorhombic structure with space group Pbam and the cell parameters as a = 5.568(2) Å, b = 9.894(3) Å, and c = 3.193(1) Å and the Zn 2 SnO 4 crystallizes as cubic with the space group Fd3m and with the cell parameter a = 8.660(2) Å. Rietveld refinement was done on the PXRD patterns to get the crystal structure of the Cd 2 SnO 4 and Zn 2 SnO 4 and to define the site deficiency of atoms which causes the electrical properties of the materials.


Introduction
Conducting oxide materials are interested for several energy conversion applications, including solid state electrolytes for new types of storage and fuel cells, transparent electrode materials for some types of solar cells, and photo-electrolysis electrodes for the direct conversion of solar energy to hydrogen [1].The A IV B 2 II O 4 compounds such as Cd 2 SnO 4 and Zn 2 SnO 4 are important prototypes for modern high efficient transparent conducting oxides.The structure solution from powder X-ray diffraction and Rietveld refinement of some A IV B 2 II O 4 compounds are reported where the group-II atoms are Mg, Zn, and Cd and group-IV atoms are Si, Ge, and Sn.But the structural studies of cadmium tin oxide (Cd 2 SnO 4 or CTO) and zinc tin oxide (Zn 2 SnO 4 or ZTO) lack a step in the literature.
Cadmium tin oxide was first synthesized by Smith [2] in 1960.Later, Nozik [3] studied its semiconducting properties and suggested it as a promising material for transparent electrodes.It has been reported that the oxygen vacancies in Cd 2 SnO 4 provided the donor state for the conduction.
Few coworkers [4,5] suggested that the cadmium interstitials may also contribute to the conductivity.Zn 2 SnO 4 was first prepared by Coffeen [6] through the wet chemical method, from its chemical precursors to precipitate the hydrated zinc stannates and followed by a sintering process at elevated temperatures, found to be an oxide semiconductor, and its crystal structure was determined to be cubic with inverse spinel (MgAl 2 O 4 ) structure with the space group 3 .Chang and Kaldon [7] have studied the solid state reaction of SnO 2 -ZnO and observed that the solid state reaction between SnO 2 and ZnO is starting at above 1100 ∘ C, and Zn 2 SnO 4 is the only resultant.Cun et al. [8] have studied the defect structure of Zn 2 SnO 4 and suggested that the defect structure of Zn 2 SnO 4 is mainly due to the oxygen deficiency with ntype conductivity.
Over the past decade, structure determination from powder diffraction (SDPD) has matured into a technique that is widely and successfully used in the context of organic, inorganic, and organometallic compounds [9].By definition, the crystal belonging to the same structure type with same space group should have the similar cell parameters and similar representative atom coordinates.But in the case of deficit materials like ternary compounds (A IV B 2 II O 4 compounds) which have different atomic defects, have some major variations in the crystallographic parameters.Hence, the study of crystal structure of these compounds is necessary to understand its physical properties, especially the electronic properties.Hence, the present study aims at the preparation of Cd 2 SnO 4 and Zn 2 SnO 4 through the solid state reaction method and the determination of the structure of Cd 2 SnO 4 and Zn 2 SnO 4 powders through powder X-ray diffraction technique.

Experimental Details
The Cd 2 SnO 4 powder was prepared from the solid state reaction of the well-blended mixture of required quantities of CdO (99.99% pure-Merck) and SnO 2 (99.99% pure-Merck) in the atomic weight ratio of 2 : 1.The mixed binary oxides, after making them as a 5 mm thick 50 mm diameter pellet, were kept at 1050 ∘ C for 6 hours in an autotuned, PID controlled SiC furnace at air atmosphere.The optimized time duration was selected based on the monophase compound formation which was confirmed through XRD results.The Zn 2 SnO 4 powder was also prepared as mentioned above, from the well-blended mixture of the ZnO (99.99% pure-Merck chemicals) and SnO 2 (99.99% pure-Merck chemicals) in the atomic weight ratio of 2 : 1.The pellet was kept at 900 ∘ C in air for 4 hours.The temperature conditions were selected on the basis of thermal analysis results in both cases.
The TG/DTA analysis of the CdO-SnO 2 and the ZnO-SnO 2 mixed powders was made using TG/DTA analyzer (Perkin Elmer Diamond TGA/DTA).The instrument was calibrated using aluminum reference material which is having the transition point at 660.10 ∘ C. TG/DTA curves were measured in the constant flow of air at the rate of 10 ∘ C/min.X-ray diffraction analysis was made on the samples at room temperature using the PANalytical X'Pert PRO MPD diffractometer of the new generation equipped with two-dimensional solid state X' celerator detector.The data collection was done with 2 ranging from 10 to 140 ∘ and the step width of 0.02 ∘ with 212 seconds per step counting time.Powder pattern indexing and the manual space group test were done in the software CMPR [10]; cell searching was done using TREOR 90 [11] algorithm.The Rietveld refinement was done using the GSAS [12] with EXPGUI [13] interface.Structural illustrations were obtained from DIAMOND [14] using the crystallographic information file (cif file).The materials for the publication were done in the EXPGUI itself.Raman spectrum of the Cd 2 SnO 4 and Zn 2 SnO 4 powders was recorded with the exciting laser wavelength of 480 nm.
The electrical conductivity, bulk carrier concentration, and the mobility of the samples were measured using the Ecopia Hall effect system model number HMS-3000 by making the powder as the hot pressed pellets.Figure 3 shows the Rietveld refinement plot of Cd 2 SnO 4 powder diffraction data.The difference plot and the plot of cumulative  2 value show the convergence of the Rietveld refinement.The crystal and experimental data of the Rietveld refinement is given in Table 1. Figure 4 shows the Rietveld refinement plot of Zn 2 SnO 4 powder diffraction data.The crystal and the Rietveld refinement data of Zn 2 SnO 4 is given in Table 2.
The conductivity of the prepared Cd 2 SnO 4 is 2.095 × 10 3 S/cm with the bulk concentration 4.439 × 10 20 cm −3 and the mobility 29.46 cm 2 /Vs and the conductivity of the Zn 2 SnO 4 is 65.38 S/cm with bulk concentration 5.375 × 10 18 cm 3 and the mobility 7.592 cm 2 /Vs.

Discussion
In the TG curve of Figure 1, the initial mass loss observed up to 100 ∘ C is characteristics of desorption or drying of the mixed CdO and SnO 2 powders.The multistage decomposition at 207 ∘ C and 300 ∘ C may be attributed to the ionization of excess of Cd and Sn present in the CdO and SnO 2 , respectively.After the decomposition, a stable intermediate stage has been observed up to 900 ∘ C above which a slight increase in weight indicates the oxidation of the sample at higher temperature [16].At about 1050 ∘ C, the observed weight indicates an oxidative decomposition reaction again at higher temperature.The sharp peaks observed in DTA curve at 210 ∘ C and 300 ∘ C reveal the purity of the precursors taken.
From TG/DTA analysis, it is clear that, above 1000 ∘ C, the oxidation takes place.So the mixed sample, after making it as a 5 mm thick 50 mm diameter target, was kept at 1050 ∘ C for 6 hours in air.
In the TG/DTA curve of Zn 2 SnO 4 precursor, there are only two weight loses present in the TG curve.According to Cun et al. [17], a weight loss observed at about 120 ∘ C may be attributed to the liberation of the surface-adsorbed water and another weight loss at about 210 ∘ C might be attributed to the liberation of the crystal water.There is no any recrystallization taking place at about 724 ∘ C.Only a constant intermediate phase is observed.The gradual increase in weight observed above the 725 ∘ C may be attributed to the oxidation of the Zn 2 SnO 4 precursor.This oxidation is observed up to 1000 ∘ C also.So the precursor, after making it as a 5 mm thick 50 mm diameter target, was kept at 950 ∘ C for 6 hours in air atmosphere.The cadmium stannate may be crystallized as monocadmium stannate (CdSnO 3 ) or dicadmium stannate which are of the same orthorhombic structure.To avoid the wrong indexing problem due to the same crystal structure, high quality powder diffraction data is needed.Hence, the powder X-ray diffraction analysis was done on the samples with the 2 step value of 0.02 ∘ .Since the powder diffraction data is of high quality, the highest FOM values of 62 for Cd 2 SnO 4 and 61 for Zn 2 SnO 4 were achieved.
In the crystallographic analysis, the possibility of the monocadmium stannate (CdSnO 3 ) was also checked and the results showed that the space group pnma, which is for CdSnO 3 , has the figure of merit of 5.6637 with 10 unexplained lines.Hence, it is confirmed that the orthorhombic Cd 2 SnO 4 is the only product in the solid state reaction of CdO, and SnO 2 in the ratio of 2 : 1 at the temperature of 1050 ∘ C, as the orthorhombic structure is mostly favored for bulk Cd 2 SnO 4 [18].There are no any secondary phases like CdSnO 3 , CdO or SnO 2 .Characteristic peaks obtained in the Raman spectrum also confirm the Cd 2 SnO 4 formation.The broadening and asymmetry of the peaks indicate the typical features of the nanoscale materials which supports the crystallite size results of XRD.
The result of the Rietveld refinement of Cd 2 SnO 4 is given in Table 1.Fractional atomic coordinates and isotropic displacement parameters of Cd 2 SnO 4 are given in Table 2.The Rietveld refinement was done with manual background fitting and with the pseudo-Voigt profile function.The least square refinement was converged with the  value of 0.0407  Approximate fractional atomic coordinates found from the structure refinement show that the tetrahedral voids (8b) are occupied by Zn atoms and the octahedral voids (16c) are occupied randomly by an equal number of Zn and Sn atoms [19] which confirms the inverse spinel structure of the Zn 2 SnO 4 in which the Zn 2 SnO 4 is more stable [18].The Rietveld refinement was converged with the  value of 0.034,   value of 0.030,   of 0.051, and reduced  2 value of 0.959.The crystallographic and refinement data of Zn 2 SnO 4 were given in Table 3.The atomic coordinates and the isothermal displacement parameters were given in Table 4.The weight ratio of the Zn 2 SnO 4 given in Table 3 reveals that the oxygen vacancy (  ) is the main reason for the conductivity of Zn 2 SnO 4 to the value of 65.38 S/cm.Normally, Zn 2 SnO 4 is composed of closely packed oxygen ions and rutile chains which are connected by cations in the tetrahedral sites and which run through the lattice.The rutile chains are considered as conduction paths for electrons as unoccupied orbital of cations which significantly overlap in the chains because of short cation-cation separation distances due to the edge sharing of cation octahedra.But the spinel lattice of Zn 2 SnO 4 is locally distorted enough to form two distinct octahedrally coordinated Sn and Zn sites.The disorder in the Sn and Zn sites in the lattice significantly limits the mobility of the carriers (7.592 cm 2 /Vs), possibly by disrupting the edge-sharing nature of the octahedrally coordinated cations [20].The characteristic Raman peaks confirm the Zn 2 SnO 4 formation.

Conclusion
The accurate X-ray structural investigations of orthorhombic Cd 2 SnO 4 and cubic inverse spinel Zn 2 SnO 4 and the use of the experimental data with high resolution of Δ2 = 0.02 ∘ allowed us to obtain the results with high relative precision (reduced  2 ∼ 1).As the inclusion of a large number of high angle weak reflections in the analysis leads to a decrease in accuracy of the results of the refinement, the design and the performance of the experiment and the methods used to process the experimental data made it possible to overcome the influence of this factor.The electrical conductivity and the mobility values were correlated with the site occupancy, atomic site defects, and also the weight percentage of the element present in the compounds.
/DTA studies were made to study the temperature effect on the mixed sample of CdO and SnO 2 (sample 1) and also on the mixed sample of ZnO and SnO 2 (sample 2).The TG/DTA curves for the sample 1 are shown in Figure1.In the TG curve, the multistage decomposition is observed at 210 ∘ C and 300 ∘ C.After the decomposition, a stable intermediate stage has been observed up to 900 ∘ C above which a slight increase in weight is observed up to 1050 ∘ C.Then, above 1050 ∘ C, another weight loss is observed.Figure2shows the TG/DTA analysis curve of the mixed sample of ZnO and SnO 2 (sample 2).In the TG curve of sample 2, rapid decomposition is observed sharply at 210 ∘ C.After the decomposition, a stable stage is observed approximately up to 725 ∘ C.After 725 ∘ C, a gradual increase in weight is observed up to 1000 ∘ C.The prepared samples of Cd 2 SnO 4 and Zn 2 SnO 4 were subjected to the X-ray powder diffraction analysis with the step value of 0.02 ∘ to avoid the crystallographic analysis errors.Manual cell search done on the Cd 2 SnO 4 sample in CMPR using the TREOR90 algorithm revealed that the Cd 2 SnO 4 powder crystallized in orthorhombic structure with cell parameters  = 5.568 Å,  = 9.894 Å, and  = 3.193 Å and cell volume as 175.94Å3 with the figure of merit (FOM) of 62.0.Space group test, done with the peak positions, reveals that the space group is Pbam (55).Cell search done on the Zn 2 SnO 4 sample deduced that the Zn 2 SnO 4 powder crystallized in cubic structure with cell parameter  = 8.660 Å and the cell volume as 649.27Å3 with the FOM of 61.Space group test done, with the peak positions only, reveals that the space group is 3  (227).

Table 4 :
Fractional atomic coordinates and isotropic displacement parameters of Zn 2 SnO 4 (in Å).Raman spectrum of Cd 2 SnO 4 powder.withvalue of 0.105,  2 of 0.8675, and the goodness of fit (GOF) of 0.93.The values of  2 and GOF confirm the best fit of the calculated profile function to the observed diffraction data.The weight ratio of Cd, Sn, and O (given in Table1) reveals that there is no any oxygen vacancy in the compound to contribute to the conductivity.The excess proportion of Cd atom shows that the Cd interstitials only contribute to the high conductivity which pronounced the high conductivity value of 2.095 × 10 Raman spectrum of Zn 2 SnO 4 powder.tothe value of 29.46 cm 2 /Vs, even though there is the high bulk carrier concentration of 4.439 × 10 20 cm −3 .It makes the normal orthorhombic Cd 2 SnO 4 more conductive in nature than the cubic spinel structure.
3S/cm.Since there is no any disorder in the site of cations (Cd and Sn), the mobility will be increased