Isothermal and Two-Temperature Zone Selenization of Mo Layers

Glass/Mo, Mo foil, glass/Mo/In, and glass/Mo/Cu stacked layers were selenized in closed vacuum tubes by isothermal and/or twotemperature zone annealing in Se vapors. The selenization process was studied dependent on Se vapor pressure, temperature and time. Samples were selenized from 375 to 580◦C for 30 and 60 minutes. The applied Se pressure was varied between 130 and 4.4 · 10 Pa. The increase of MoSe2 film thickness was found to depend on the origin of Mo. MoSe2 thickness dL on Mo-foil was much higher than on sputtered Mo layers, and it depended linearly on time and as a power function dL ∼ P Se on Se vapor pressure. The residual oxygen content in the formed MoSe2 layers was much lower in the two-zone selenization process. If Mo was covered with Cu or In before selenization, these were found to diffuse into formed MoSe2 layer. All the MoSe2 layers showed p-type conductivity.


Introduction
Mo is widely used as a back contact material in thin film solar cells.In CuInSe 2 -based solar cell production, Mo reacts with Se forming a thin layer of MoSe 2 .MoSe 2 has been extensively studied as a consequence of having both interesting physical properties (superconductivity, charge density waves, magnetism, etc.) and the ability to prepare many metastable derivates of these compounds via intercalation reactions [2].MoSe 2 has been reported as an efficient compound for photoelectrochemical conversion of solar energy [3].MoSe 2 in the form of a polycrystalline thin film has become an attractive semiconductor compound for electronics [4].MoSe 2 belongs to a class of compounds called layered transition metal dichalcogenides [2].Hexagonal MoSe 2 consists of planes of Mo covalently bonded to Se atoms, but these planes are weakly bonded to each other by Van der Waal forces.It has been suggested that the orientation of MoSe 2 planes with respect to the Mo substrate plays an important role in adhesion and electrical properties.Good adhesion between Mo and MoSe 2 is observed when MoSe 2 layers are oriented perpendicular to the Mo substrate (it means MoSe 2 with c-axis parallel to Mo surface) since a strong covalent bond can form at the interface between Se and the underlying Mo.So, it is important for the practical use of Mo substrates in solar cell production to determine the growth orientation of MoSe 2 with respect to the surface and the rate of selenization.Bernède et al. found that it is necessary to anneal an Mo layer at temperatures higher than 377 • C to obtain reproducibly MoSe 2 layers without any other phase [5].There is till limited information on the mechanism of selenization of Mo and no quantitative model describing MoSe 2 formation.Up to now, only Krishnan et al. have discussed on the reaction pathways during selenization of Mo [6].
In this paper, we present the results of selenization of Mo and of MoSe 2 formation in isothermal and two-temperaturezone selenization processes.selenization) or 35 cm (2-zone selenization) in length) were etched with a mixture of concentrated HF + HNO 3 (1 : 1), rinsed with DI water, and heated in the flame of C 3 H 8 + O 2 gas prior using.

Experimental Details
The filled ampoules were inserted into a preheated horizontal tube furnace and heated for different periods (up to 1 hour).Mo substrates were selenized by two different methods: (1) isothermal (one-zone) selenization: the Mo samples (0.75 × 2.5 cm 2 ) and elemental selenium were heated in the same temperature zone, where the pressure of Se vapor is determined by the used annealing temperature (375, 470, 530, and 580 • C); (2) two-zone selenization: samples were annealed in a two-temperature-zone quartz tubular vacuum reactor where temperatures of the Se source and the reaction zone, were controlled and regulated independently.Mo substrates were heated in the higher temperature zone for at 470, 530, and 580 • C, while the inexhaustible selenium source (Se pellets) was heated in the lower temperature zone to produce controlled reactive Se vapor atmosphere between 130 and 4.4•10 3 Pa.After annealing, in both cases, the ampoules were taken out of the furnace and cooled down on a ceramic plate at room temperature.

Characterization Techniques.
Produced films have been studied by X-ray diffraction (XRD) method on a Bruker D8 Advance diffractometer, by energy dispersive X-ray spectroscopy (EDX) method using a Röntec EDX XFlash 3001 detector and by RT Raman spectroscopy using a Horiba's LabRam high resolution spectrometer equipped with a multichannel detection system in the backscattering configuration.The conductivity type of selenized samples was determined by the hot probe method.The surface morphology and thickness of selenized layers were studied and determined by a high resolution scanning electron microscope Zeiss Ultra 55 SEM.X-ray photoelectron spectroscopy (XPS), AXIS Ultra DLD , was used to characterize the surface chemical composition of formed layers.Analyzing samples that were selenized for 30 minutes at different temperatures under isothermal conditions, the following features can be drawn.

Characterization of Isothermally Selenized Glass/Mo Films
(1) MoSe 2 grown at 375 • C was nonorientated; the surface was not smooth nor dense and porous.The total thickness of the Mo/MoSe 2 layers was about 1.3 μm, wherefrom the MoSe 2 layer thickness was determined to be approximately 250 nm.
(2) Annealing at 470 • C resulted in MoSe 2 , composed of two layers, the top layer was similar to the previously described 375 • C layer and the next layer under the top layer (following the initial layered structure of as deposited Mo) was orientated with the c-axis parallel to the Mo surface.The total thickness of the formed MoSe 2 was around 1.5 μm, with thicknesses of the two layers described above being 700 and 800 nm, respectively.According to SEM analysis, thickness of the upper nonorientated layer of MoSe 2 diminished with increasing the selenization temperature.
(3) The selenization at 530 • C was found to be a breaking point from where (at higher temperatures) mainly MoSe 2 with c-axis parallel to Mo surface grows.
Although 30 minutes selenization resulted in a mixture of MoSe 2 with c-axis parallel and perpendicular to the Mo layer.The surface layer was quite thin, about 330 nm, which is expected to disappear with prolonged process.
With increasing selenization temperature from 470 to 530 • C, the orientation of the MoSe 2 layers changes from perpendicular to an almost parallel alignment with respect to the Mo substrate plane, as it was also found in [5].In [8], the authors connected the change in MoS 2 orientation with the formation of an intermediate solid solution Na 2 S x -MoS 2 (x = 1-6 / = 5) at temperatures higher than 550 • C. Similar behavior can be proposed in the case of MoSe 2 because of the close values of electronic affinities of Se and S (2.4 and 2.5, resp.).The only sodium source in our case can be the used glass substrates.Na out-diffusion from SLG substrate plays an important role also in the fabrication of CIGSbased solar cells enabling the growth of the crystals of the   absorber material [9], as it is known that sputtered Mo layers contain molybdenum oxides in Mo grain boundaries [8,10] that create efficient channels for Na diffusion [10].From Na-Se phase diagram [11], it is seen that at around 495  Using argon environment during the selenization, we can balance the processes taking place, to hold back the reaction and condensation of selenium on the surfaces of the samples.Selenization in the isothermal process arrangement at higher temperatures (530 and 580 • C) causes intense selenization of Mo corresponding to a quite high selenium pressures determined by the used temperatures.SEM cross-sectional images of Mo/MoSe 2 samples annealed in the isothermal conditions at 530 • C for 60 minutes and at 580 • C for 30 minutes under Ar overpressure are presented in Figure 2 and indicate that all the layers are full of cracks.

Growth Rate of MoSe 2 Layer in Isothermal Selenization
Process.The thickness of MoSe 2 on glass/Mo samples follows the Arrhenius equation; the thickness (in native logarithmic scale) of the formed MoSe 2 layer increases linearly with the reciprocal selenization temperature (see Figure 3).From the Arrhenius plot, the activation energy of the layer growth process was found to be −E a = 0.7 ± 0.1 eV that is close to the activation energy found in [6].thoroughly selenized at 580 • C; Mo peak had disappeared in XRD pattern.sputtered glass/Mo samples depends on the origin of initial Mo layer and technology of its production.For example, the thickness of MoSe 2 on the glass/Mo 1 samples after annealing for 20 minutes at 530 • C under the selenium pressure of 130 Pa (T Se = 365 • C) was about 1.5 times bigger than the one on the glass/Mo 2 substrates (1.3 and 0.9 μm, resp.)resulting in growth rates of about 65 nm/min.and 45 nm/min., respectively, (Figure 5(a) and [14]).The growth rate of MoSe 2 layer in our experiments is much higher than the growth rate found in [1] (3 nm/min.)for dc sputtered Mo on Si substrates, where the selenization was also performed in the twozone arrangement at 577 • C, but in a carrier gas stream where the process rate was regulated and suppressed by the inflow of Se.The authors [1] explained the growth of MoSe 2 layer thickness as a process limited by the diffusion of Se atoms through the as-grown MoSe 2 layer, and they fitted the experimental data and estimated the value of diffusion coefficient of Se in MoSe 2 from the dependence D = x 2 /2t, where x means the thickness of MoSe 2 layer (in the present study d L ) and t is selenization duration.From the above-given equation, x is equal to x = √ 2Dt.It means that thickness has to increase with time in square root function dependence (see the dashed curve in Figure 6).The fitting used in [1] does not coincide even well with all the experimental data of the work.Linear dependence fits match much better for all the experimental data of [1] (straight line in Figure 6).It means that our results and the results of [1] are pointing out the similar dependence: the linear increase of MoSe 2 layer thickness with duration of selenization.

Growth Rate of MoSe
The dependence of the MoSe 2 layer thickness on selenium vapor pressure both for Mo-foil and for sputtered Mo/glass samples is presented in Figure 5(b).The growth of MoSe 2 layer thickness d L on Mo-foil depending on Se vapor pressure could be described as a power function: Se .If we to consider that the vapor phase of selenium at temperatures used in the present work consists of molecules given in Table 1, from where it can be seen that Se 2 and Se 5 molecules Glass/Mo 2 /In + Se Glass/Mo 2 /Cu + Se     On the basis of the reaction (1), the thickness of MoSe 2 layer d L dependent on Se vapor pressure can be described as where k is the velocity constant of reaction (1).This result could be explained by the straggling Mo grains in Mo-foil that enable fast diffusion of Se atoms through the grown MoSe 2 layer.This dependence confirms that selenization of Mo foil is limited by selenium availability on the interface and not by the diffusion of Se through MoSe 2 .The regularities of selenization of dense sputtered Mo layers differ from the regularities of selenization of Mo-foil.The similar, Se , behavior is visible only in the low Se vapor pressure region (see Figure 5(b)).The growth of MoSe 2 layer proceeds due to the diffusion of selenium atoms or molecules through dense-layered structure of MoSe 2 followed by their subsequent interaction with molybdenum atoms at the Mo-MoSe 2 interface.As ΔG of the reaction Mo + Se 2 → MoSe 2 is negative at 530 • C: ΔG = −145 kJ, we can conclude that the difference in the density of Mo in substrates of various origin could be the reason for different packing density of columnar structure of MoSe 2 as well, and this is the reason of different growth rates under the same processing conditions.

Comparison of Isothermal and Two-Zone Arrangements of the Selenization Process of Mo.
In the isothermal arrangement, the selenium source and the Mo sample are situated in close vicinity to each other in the same temperature zone.Rapid formation of a relatively high vapor pressure of Se in the vicinity of the Mo sample (determined by the heat treatment temperature) allows faster start of the MoSe 2 formation reaction in comparison with two-temperature zone arrangement, where the Se source is at a distance of about 30 cm from the reaction zone.In the isothermal arrangement the extent of selenization of Mo could be tailored by the amount of Se in the reaction ampoule.For example, heating for one hour at 530 • C resulted in thoroughly consumed Se and partly selenized Mo layers with the final thickness of Mo/MoSe 2 layer of about 3 μm (possible maximum thickness being 4.4 μm).XRD analysis confirmed the existence of both unreacted Mo and MoSe 2 phases.SEM investigations of surface morphology did not show any cracks in layers.However, after 30-minute selenization at 580 • C, nearly the same thickness of MoSe 2 layer was gained with the same amount of Se.This means that the amount of Se was limiting the process of selenization in the isothermal arrangement.We can conclude that the selenization process in isothermal arrangement can be controlled by the annealing time or the process can be limited by the added amount of elemental Se.
Experiments showed that the optimum selenization temperature of Mo layers is 530 • C. At higher temperatures, the tension between the layers is remarkable and as a result thermal stresses resulted in cracks.If the layer is growing too fast or the Mo layer is thoroughly selenized to MoSe 2 , there could occur adhesion problems, peeling off either from glass or MoSe 2 /Mo interface.

Characterization of Isothermally Selenized Mo Films Covered with
Cu and In Layers.The influence of In and Cu coverage on molybdenum to the selenization process of Mo was investigated.The structural evolution of layers is illustrated in Figure 7.In the case of In coverage (see left side photos in Figure 7) at 300 • C, Mo is covered with a polycrystalline core of formed In-Se compounds.At higher temperatures, little crystals of In-Se are sparsely standing in the layer giving a possibility to Se molecules to penetrate the layer easily.Cu on Mo (see right side photos in Figure 7) forms a compact continuous layer with big sintered crystals at lower temperatures.At higher temperatures the crystals in the layer grow larger and at the highest temperatures, gather into large single aggregates.It is visible that the Cu and In layers on Mo impede the growth of MoSe 2 compared with uncovered Mo samples (see Figure 10), while the samples with indium gave thicker MoSe 2 layers than the samples with copper.The former is understandable when considering that CuSe forms on Mo a compact continuous coverage seen in Figure 7 that inhibits the access of Se molecules to Mo.
SEM micrographs of Mo samples covered with Cu and In and selenized at 530 • C are presented in Figure 8.The formed MoSe 2 interlayer is clearly seen on the SEM images (Figures 7  and 8) and its existence was confirmed by the EDS line scanning profiles (Figure 9), and results of XRD (Figure 11) and Raman analysis (Figure 12).The XRD analyses confirm that in addition to the hexagonal MoSe 2 (JCDPS card 29-0914) phase, large CuSe crystals (JCDPS card 34-0171, 20-1020) and In 2 Se 3 as agglomerated rounded crystals on the surface Micro-Raman spectra in Figures 12(a) and 12(b) of selenized Mo-In and Mo-Cu samples show the peaks at 169, 240, 280, and 350 cm −1 characteristic to MoSe 2 [16,17].Analysis of the Raman spectrum (Figure 12(a)) of the glass/ Mo/Cu layer selenized at 530 • C for 30 minutes shows the additional existence of different Cu-Se phases; Raman peaks at 147 and 260 cm −1 belong to CuSe [18,19] and a peak at 270 cm −1 can be associated with Cu 2 Se or CuSe 2 [20].Analysis of the Raman spectrum of the glass/Mo/In layer selenized at 530 • C for 30 minutes (Figure 12(b)) reveals beside MoSe 2 the existence of In containing phase In 2 Se 3 Raman peaks at 91, 148, 182, 204, and 256 cm −1 [21,22].
The XPS depth profiles of selenized glass/Mo/In and glass/Mo/Cu layers are presented in Figure 13.It is seen that Advances in Materials Science and Engineering all the Mo-Se layers contain oxygen and that some Cu and In from surface have diffused into Mo-Se layer.It is known from the literature that the as deposited Mo films, if sputtered onto unheated substrates, contain significant amount of oxygen bound as MoO 2 and MoO 3 [8,9].In [10] the oxygen content of rf sputtered Mo films was 8 at% as determined by RBS.It is important to point out that in the case of two-temperature zone arrangement the concentration of oxygen in the layers is diminished in comparison with the isothermal selenization.This can be explained by SeO 2 formation that has remarkable vapor pressure at the applied temperatures and the twotemperature arrangement which enables SeO 2 to condensate into the lower temperature zone (melting point of solid SeO 2 is 340-350 • C [23]).

Conclusions
The formation of MoSe 2 of p-type conductivity on Mo substrates at temperatures from 375 to 580 • C dependent on selenium vapor pressure and annealing duration was studied.We found that the thickness of MoSe 2 layer on Mo-foil depends on the selenization duration linearly and on the Se vapor pressure as a function d L ∼ P 1/2  Se .According to XPS analysis, Cu and In have been diffused into Mo-Se layer.It is an important finding that the residual oxygen content in the formed MoSe 2 layers was much lower in the case of twotemperature zone arrangement.In the case of isothermal arrangement, quick formation of a relatively high vapor pressure of Se in the vicinity of the Mo sample (determined by the heat treatment temperature) allows a faster start of the MoSe 2 formation in comparison with two-temperature zone arrangement.We can conclude that the selenization process in isothermal arrangement can be controlled by the annealing duration and temperature if the added amount of elemental Se is unlimited or by the limited amount of Se.The thickness of MoSe 2 on glass/Mo samples follows the Arrhenius equation; the thickness (in native logarithmic scale) of the formed MoSe 2 layer increases linearly with the reciprocal selenization temperature.From the Arrhenius plot, the activation energy of the process was determined as E a = 0.7± 0.1 eV.The optimum selenization temperature was 530 • C which resulted in uniform MoSe 2 layers without cracks and with the c-axis orientation parallel to Mo surface.At higher temperatures, the tension between the layers was found to be remarkable and resulted in cracks and bad adhesion, peeling off MoSe 2 either from glass or from MoSe 2 /Mo interface.Cu and In layers on Mo impede the growth of MoSe 2 compared with uncovered Mo samples.Due to the smaller crystal size of formed In 2 Se 3 compared to compact continuous coverage of CuSe, the penetration of Se molecules is faster through In 2 Se 3 crystals, and the thickness of MoSe 2 layer is thicker on the glass/Mo/In samples than on glass/Mo/Cu samples under the same selenization conditions.

Figure 2 :
Figure 2: SEM cross-sectional and surface images of Mo/MoSe 2 samples annealed under Ar overpressure in the isothermal conditions at 530 • C for 60 minutes (a) and at 580 • C for 30 minutes (b).

Figure 3 :
Figure 3: Thickness of MoSe 2 on glass/Mo dependent on reciprocal selenization temperature.Straight line remarks the linear fitting of test points.
• C there occurs peritectic transformation of Na 2 Se 2 to Na 2 Se and liquid Se forms.The latter can act as liquid flux for recrystallisation of both the CIGS absorber material and MoSe 2 crystals.At low Se partial pressure, the formation of Na 2 Se x (x = 1) dominates and no Se is available.This was used to explain the lowered selenization of Mo in the presence of Na at low Se partial pressure[12].At high Se partial pressure, the formation of Na 2 Se x (x > 1) dominates and Se is available for Mo selenization at higher than 495 • C. The reason for the evolution of the described upper layer of MoSe 2 in the isothermal selenization process, where the Se source and the Mo sample are placed into the close vicinity of each other, could be the rapid selenium flow from the Se source to the Mo sample surface in the initial period of the process when occurs the temperature difference between the colder sample and the hotter ampoule wall.Jäger-Waldau et al. studied MoSe 2 film composition and morphology, and they also found that the MoSe 2 orientation depended on selenium partial pressure[13].XRD patterns (Figure1) of the Mo-Se films prepared in the isothermal selenization conditions at 470, 530, and 580 • C show peaks related to MoSe 2 [JCPDS cards 29-0914; 77-1715 and 87-2419] and indicate to the preferential growth of hexagonal MoSe 2 in the (100) and (110) direction.Similar results were found in [5].The preferential orientation of MoSe 2 with respect to the Mo substrate facilitates the diffusion of Se through the already formed MoSe 2 , thus leading to the growth of thicker MoSe 2 layers.The preferred orientation in (100) and (110) direction, that is, the average orientation of the c-axis of the MoSe 2 layer parallel to the Mo surface, becomes more pronounced for MoSe 2 layers grown at 530 and 580 • C for 60 and 30 minutes, respectively.XRD patterns indicate also to unreacted Mo in each sample with preferred orientation in the (110) direction [JCPDS card 42-1120].
Substrates.Selenization of glass/Mo 2 substrates for 60 minutes at 530 and 580 • C under selenium vapor pressure of 4.4•10 3 Pa (T Se = 500 • C) resulted in dense and thick layers of MoSe 2 (see Figures 4(a) and 4(b)).The comparision of the corresponding XRD patterns (see Figure 4(c)) show that MoSe 2 layers selenized at 580 • C have better crystallinity compared with 530 • C (peaks are narrower and higher in the diffractogram), but the Mo layer is

Figure 7 :Figure 8 :
Figure 7: SEM micrographs of selenized glass/Mo/In and glass/Mo/Cu substrates, the structural evolution of layers selenized at different temperatures.

Figure 9 :
Figure 9: EDS line scanning profile of the cross section of glass/Mo, glass/Mo/In, and glass/Mo/Cu layers selenized at 530 • C for 30 minutes.

Figure 12 :
Figure 12: Raman spectra of (a) glass/Mo/Cu layers and of (b) glass/Mo/In layers selenized at 530 • C for 30 minutes.

Figure 13 :
Figure 13: XPS depth profiles of glass/Mo/Cu substrates selenized under (a) isothermal and (b) two-temperature-zone arrangement, (c) XPS depth profile of glass/Mo/In substrates selenized under isothermal arrangement.