Lithium manganese oxide films fabricated by electron beam directed vapor deposition S. W. Jina兲 and H. N. G. Wadley Department of Materials Science and Engineering, School of Engineering and Applied Science, University of Virginia, Charlottesville, Virginia 共Received 17 August 2007; accepted 19 November 2007; published 17 December 2007兲 Lithium manganese oxide thin films have been grown using a gas jet based, electron beam directed vapor deposition technique. The deposition rate could be controlled by the electron beam power as well as the gas jet density and speed. This enabled films to be grown at deposition rates up to 16 nm/ s which is a significantly higher deposition rate than that reported for the growth of this material by sputtering and other vapor deposition techniques. The lithium manganese oxide films grown by this approach were slightly manganese deficient with a composition Li1+xMn2−yO4, where 0.08⬍ x ⬍ 0.125 and y ⬃ 0.2. After annealing in air at 700 ° C, thin films grown with a low jet speed had a cubic spinel structure and were composed of very small size grains. The small grain size resulted from the vapor phase formation of clusters and resulted in a nanocrystalline random film texture. These films were highly porous with a spongelike interconnected pore network. The use of a higher jet speed and lower growth pressure resulted in less vapor phase clustering. The films contained small, uniformly distributed pores and exhibited a significant 具111典 texture. These annealed films appeared well suited for use as the cathode layers in thin film Li/ Li-ion batteries. © 2008 American Vacuum Society. 关DOI: 10.1116/1.2823488兴 I. INTRODUCTION Thin film solid-state lithium batteries are widely used in medical devices to provide power for microelectromechanical systems and as on-chip power sources because of their light weight, small size, and high power storage density.1,2 Lithium–transition metal oxides such as LiCoO2 and LiMn2O4 are widely used for the cathode material.3–5 LiCoO2 has a layered 共R-3m兲 structure, which facilitates lithium insertion and extraction during battery operation.3 It is widely used in commercial batteries in part because of its high specific charge storage capacity 共⬃130 A h / kg兲 and excellent rechargeability 共⬎1000 cycles兲.3–5 However, LiCoO2 is costly, and it has significant toxicity issues.6 LiMn2O4 is a candidate alternative cathode material for high energy density battery applications.7,8 Lithium–transition metal oxide films can be fabricated by either electron beam evaporation,9–11 sputtering,11–16 or by pulsed laser deposition.17 For example, reactive electron beam evaporation has been used to synthesize LiMn2O4 films with a small grain size and good electrochemical performance.9 Wang et al. have used magnetron sputtering to grow Li4Ti5O12 thin films, which are an isostructure to LiMn2O4.18 They have produced films that can be either relatively dense or composed of islandlike grains with interconnected grain boundary pores. They have examined the electrochemical properties and found that highly textured, porous films with interconnected grain boundary pores exhibited superior electrode performance. The typical deposition rate of the sputtering techniques used to fabricate these films is usually less than ⬃0.2 nm/ s.15 Author to whom correspondence should be addressed. Phone: 共434兲 8063277. Electronic mail: [email protected] a兲 114 J. Vac. Sci. Technol. A 26„1…, Jan/Feb 2008 An electron beam directed vapor deposition 共EB-DVD兲 technique has recently been developed for synthesizing binary metal oxides with controlled compositions and pore fraction.19–21 In this approach, an electron beam is used to evaporate a source material located in a water-cooled crucible positioned in the throat of a supersonic gas jet forming nozzle. This jet entrains and transports the vapor to a substrate. The gas jet speed is determined by the pressure the ratio of the pressure upstream and downstream of the nozzle opening, and by the ratio of the specific heats of the gas used to form the jet.22 Inert gases, such as helium or argon, sometimes doped with small amount of oxygen or other reactive gases, are typically used to form the jet. Changing the upstream to downstream pressure ratio modifies the degree of collimation of the vapor flux and the fraction of vapor deposited on a substrate.20 The technique has been used to grow thick yttrium stabilized zirconia coatings at very high deposition rates in excess of ⬃10 m / min for use as thermal barriers.19–21 These studies have indicated that film texture and pore volume fraction are both sensitive functions of the jet speed and the deposition chamber pressure.19,20 Here, we explore the synthesis of lithium manganese oxide films using this EB-DVD approach. The effects of gas jet characteristics upon the crystal structure, texture, grain size, and pore morphology of the films are all investigated. It is found that nanoporous lithium manganese oxide films can be grown at very high deposition rates with microstructures that appear well suited for thin film battery applications. A companion article explores the use of the same approach to deposit lithium phosphorous oxynitride electrolytes used in then film battery systems. 0734-2101/2008/26„1…/114/9/$23.00 ©2008 American Vacuum Society 114 115 S. W. Jin and H. N. G. Wadley: Lithium manganese oxide films FIG. 1. Schematic illustration of EB-DVD technique. Pd and Pu indicate the chamber 共downstream兲 and upstream nozzle opening pressure, respectively. The pressure ratio, Pu / Pd, and ratio of specific heats of the gas determine the speed of the gas jet used to inhibit lateral spreading of the evaporant flux. II. EXPERIMENT AND SIMULATION A. Synthesis approach A schematic illustration of the EB-DVD system used here is shown in Fig. 1. A transonic rarefied gas jet is first created by expanding helium gas through a 3 cm diameter nozzle. The jet speed at the nozzle opening, U, depends on the ratio of the specific heats of the gas, ␥ 共5 / 3 for He兲, the absolute gas temperature T, and the Mach number M of the jet,22 U = M 冑␥RsT, 共1兲 where Rs is the specific gas constant 共2077 J / kg K for helium兲. The Mach number for the jet also depends on the ratio of specific heats of the gas, ␥, and the upstream and downstream pressures. It can be found from the expression 冉 ␥−1 2 Pu M = 1+ 2 Pd 冊 ␥/共␥−1兲 , 共2兲 where Pu / Pd is the ratio of pressures up and downstream of the nozzle opening.23 The source material was placed in a 2.3 cm diameter water-cooled crucible positioned in the nozzle throat to create an annular jet forming aperture. A 70 kV electron beam was then used to evaporate 1.3 cm diameter LiMn2O4 source ingots supplied by TCI Ceramics, Inc. 共Maryland兲. The source to substrate distance was held constant for these experiments at 15 cm. Trials conducted before the film growth campaign that was attempted indicated unstable evaporation for electron beam power densities above 10 mA/ cm2. All the films were therefore grown using a slightly reduced current JVST A - Vacuum, Surfaces, and Films 115 density of 6.3 mA/ cm2. The resulting evaporant was entrained in the He supersonic jet and deposited on 共100兲 Si substrates covered by a 30– 60 nm native oxide layer. The substrate temperature during the deposition rose to around 70 ° C due to radiative heating from the evaporation source and condensation of the vapor on the substrate. Lithium manganese oxide films of various thicknesses were grown under systematically varied gas flow conditions to observe the effects of pressure ratio and gas density upon film morphology. To investigate pressure ratio effects, the pressure within the chamber 共Pd兲 was fixed as 13 Pa, and the upstream pressures 共Pu兲 was adjusted by varying the capacity of the pumping systems.23 Results are shown for two pressure ratios of 3.0 and 6.0 that were achieved in this way. Films with different thicknesses were then fabricated by adjusting the deposition time. Results for a second set of films synthesized using a fixed pressure ratio of 6 and a variable chamber pressure are also presented to show the effect of the deposition pressure on the microstructure of the films. Some of the as-deposited films were also annealed at 700 ° C in air for an hour to films to observe the stability of the structures. The surface morphology and void fraction of as-deposited and heat-treated films were determined from quantitative analysis of scanning electron microscopy 共SEM兲 images using IMAGEJ image analysis software 共National Institutes of Health, USA兲.24 The crystal structure and texture were measured using a Scintag x-ray diffractometer 共XRD兲. Lattice parameters were calculated using a LAPOD software program 共University of Birmingham, UK兲.25 Complete pole figures were used to determine the film texture and were generated using a preferred orientation software package 共POPLA兲 共Los Alamos National Laboratory, USA兲.26 The film’s composition was determined by a combination of Rutherford backscattering spectroscopy 共RBS兲 共Cornell Center for Materials Research, USA兲, inductively coupled plasma-atomic emission spectroscopy 共ICP-AES兲, and x-ray photoelectron spectroscopy 共XPS兲. B. Jet flow and vapor transport simulation Significant changes in the morphology and texture of EBDVD films can occur as the jet flow conditions are varied. This is consequence of gas phase collision during vapor transport. As the gas jets momentum is varied by changing the flow conditions, its effectiveness at entraining vapor depositing onto a substrate will change. Collisions within the jet plume can also lead to cluster formation, which would have a significant effect upon the morphology of a thin film. Insight into this fundamental process can be gained from directed simulation Monte Carlo 共DSMC兲 and is presented below of a single metal species 共Cu兲 transport in a helium flow. Such an approach is difficult to implement for the many different atomic and molecular species present during deposition of LiMn2O4. However, several of the most important phenomena are still encountered, and for a simple metal species such as copper, the key gas phase collision parameters are well known. 116 S. W. Jin and H. N. G. Wadley: Lithium manganese oxide films DSMC is widely used to simulate the motions of particles in rarefied gas flows.27 The major assumption of the DSMC approach is that the motion and collisions of particles are decoupled from each during finite simulation time steps. The interactions of pairs of particles are then randomly selected within a cell for collision and collided particles move in free molecular motion. During each simulation step, such uncoupled collisions and movement of computational particles through the grids of a simulation space are recorded. A two-dimensional DSMC code 共ICARUS兲 developed at Sandia National Laboratory was utilized to model the EBDVD process.27 The vapor atom velocity, mean free path, energy, and incident flux/angle to the substrate were computed for the conditions used in experiments. The grid geometry incorporated the nozzle opening diameter and geometry, the source material position, and substrate location used in the DVD experimental setup.23 The cell size and number of computational particles were carefully chosen to ensure adequate collision statistics.22 Two different DSMC problems were examined: one with and one without clustering reactions. The former assumes elastic collisions between the copper and helium atoms and does not permit cluster formation. It was used to predict vapor atom velocity, impact energy, incident angle, and investigate the monoatomic flux incident upon the substrate. DSMC with clustering reactions were performed to investigate vapor atom clustering during the deposition under low and high pressure ratio/chamber pressure. The ICARUS software allows several mechanisms of interaction to be addressed.27 We used an elastic gas reaction, where the reaction is completely kinetic and charge transfer and electron impact are ignored. Serial reactions were permitted, such as Cu+ Cu= Cu2, Cu2 + Cu= Cu3 ¯ Cun + Cu= Cun+1. The elastic collision reaction rate in ICARUS code has the form k = A exp共−Ea / kBT兲, where k is the reaction rate, A is the pre-exponential constant, Ea is the activation energy, kB is the Boltzmann constant, and T is the absolute temperature. A reaction rate of unity was used here since we are interested only in comparisons of each set of experimental conditions. Helium was used as the jet forming gas. The helium gas flow rates were varied from 0.25⫻ 1024 / m2 s to 0.108 ⫻ 1025 / m2 s depending on the upstream pressures. The vapor inlet flux was fixed at 0.1⫻ 1024 / m2 s. The chamber pressure was preset to either a pressure of 13 or 3.5 Pa. A variable hard sphere model was used to calculate the collisional cross section.27 A detailed report of simulation approach can be found elsewhere.23 III. EXPERIMENTAL RESULTS A. Deposition rate measurement The jet flow conditions and deposition rates of lithium manganese oxide films are summarized in Table I. All the films were deposited using the same electron beam power density 共6.3 mA/ cm2兲. The deposition rate increased rapidly with both the pressure ratio and chamber pressure. Since the electron beam current and therefore the source evaporation J. Vac. Sci. Technol. A, Vol. 26, No. 1, Jan/Feb 2008 116 TABLE I. Effects of deposition conditions upon film growth rates. Experiment 1 2-1 2-2 2-3 Pressure ratio Chamber pressure 共Pa兲 Deposition rate 共nm/s兲 3 6 6 6 13 13 3.5 8 5.2 16.0 1.4 9.0 rates were similar for each experiment, the deposition rate is a measure of the efficiency of a vapor entrainment in the gas jets and its subsequent deposition on a substrate. As shown in Sec. IV, increasing the gas jet speed and chamber pressure 共the gas jet density兲 increased the momentum of the jet and improved the efficiency with which the atoms/molecules evaporated by the source were entrained in the gas jet and deposited on the substrate. The dependence of the deposition rate upon the deposition conditions was well modeled by the simulation approach. B. Film morphology 1. As-deposited structures The surface morphologies of as-deposited lithium manganese oxide films are shown in Fig. 2. In the case of the film grown at pressure ratio of 3, the growth surface is typical of a columnar film grown under conditions of kinetically constrained surface atom mobility.28 It consisted of primary growth columns that were ⬃0.1 m in diameter. Primary intercolumnar pores about 0.1 m in width surrounded the growth columns. The structure was hierarchical in the sense that the primary columns were made up of secondary growth columns with very fine pores separating them. This fractal surface morphology was generally observed on all of the as-deposited lithium manganese films regardless of the deposition conditions. Changing the pressure ratio from 3 to 6 had a significant effect upon the fractal film morphology. The film surface grown with a lower pressure ratio consisted of mounded clusters and it was not possible to resolve a clear column tip shape. As the pressure ratio was increased, a film surface composed of more faceted fine column tips was observed. The effect of chamber pressure 共gas jet density兲 on the surface morphology of films grown with a pressure ratio of 6 can be seen in Figs. 2共b兲 and 2共c兲. The films were grown using chamber pressures of 3.5 and 13 Pa. All the films had a similar thickness of around 250 nm. It can be seen that increasing the chamber pressure increased the surface breaking porosity but did not otherwise alter the basic surface morphology except the clear column tip faceting in the film grown at lower chamber pressure. Cross-sectional images of fractured, as-deposited films are shown in Fig. 3. All of the films had a columnar structure with the growth columns oriented perpendicular to the substrate surface. The lower pressure ratio 共3兲 film, Fig. 3共a兲 had larger width primary columns 共⬃100 nm in width兲. It was the spherical tops of these that could be observed as mounds 117 S. W. Jin and H. N. G. Wadley: Lithium manganese oxide films 117 FIG. 3. Cross-sectional images of as-deposited EB-DVD lithium manganese oxide films: 共a兲 pressure ratio= 3, chamber pressure= 13 Pa; 共b兲 pressure ratio= 6, chamber pressure= 13 Pa; and 共c兲 pressure ratio= 6, chamber pressure= 3.5 Pa. FIG. 2. Surface morphology of as-deposited lithium manganese oxide films: 共a兲 pressure ratio of 3, chamber pressure of 13 Pa; 共b兲 pressure ratio of 6, chamber pressure of 13 Pa; and 共c兲 pressure ratio of 6, chamber pressure of 3.5 Pa. in the surface SEM images, Fig. 3. The higher pressure ratio 共6兲, Figs. 3共b兲 and 3共c兲, had very fine columns. 2. Heat-treated structures SEM images of films following heat treatment at 700 ° C are shown in Fig. 4. The films underwent significant sintering. The secondary growth columns had agglomerated and almost completely disappeared while the intercolumnar porosity had significantly coarsened. JVST A - Vacuum, Surfaces, and Films The film grown with the lower pressure ratio contained a spongelike interconnected pore network. The growth columns and the interconnected network of intercolumnar pores were coarser in the film grown with the higher pressure ratio. As with the as-deposited films, the use of a higher chamber pressures resulted in larger primary growth columns and therefore a larger distance between the intercolumnar pores. Cross-sectional images of the heat-treated films are shown in Fig. 5. They exhibit analogous trends to those observed on the outer surface. The film deposited with the lower pressure ratio had a more porous structure with both intra and intercolumnar porosity. Films grown at higher pressure ratios and with a higher chamber pressure, Fig. 5共b兲, had well defined intercolumnar porosity with wide intercolumnar pores extending through the thickness of the film. 118 S. W. Jin and H. N. G. Wadley: Lithium manganese oxide films 118 FIG. 5. Cross-sectional images of EB-DVD lithium manganese oxide films annealed at 700 ° C for an hour: 共a兲 pressure ratio of 3, chamber vacuum 13 Pa; 共b兲 pressure ratio of 6, chamber vacuum of 13 Pa; and 共c兲 pressure ratio of 6, chamber vacuum of 3.5 Pa. XRD patterns of the as-deposited films had only broad/ diffuse peaks, which is indicative of a nanocrystalline structure. The film grown at a pressure ratio of 3 showed three of FIG. 4. Surface morphology of lithium manganese oxide films fabricated annealed at 700 ° C for an hour in air: 共a兲 pressure ratio of 3, chamber pressure of 13 Pa; 共b兲 pressure ratio of 6, chamber pressure of 13 Pa; and 共c兲 pressure ratio of 6, chamber pressure of 3.5 Pa. The measured void area as a function of the film thickness is plotted in Fig. 6. The void volume fraction generally increased with film thickness. As anticipated from the SEM images above, the annealed films grown with the lower pressure ratio of 3 yielded the largest void areas while films deposited using a higher pressure ratio of 6 had a smaller void area. It is clear that reduction of the chamber pressure or increase of the pressure ratio results in denser films. C. Crystal structure measurements X-ray diffraction data for as-deposited and heat-treated EB-DVD lithium manganese oxide films are shown in Fig. 7. J. Vac. Sci. Technol. A, Vol. 26, No. 1, Jan/Feb 2008 FIG. 6. Effect of film thickness upon void volume fraction variations of heat-treated lithium manganese oxide films. 119 S. W. Jin and H. N. G. Wadley: Lithium manganese oxide films FIG. 7. X-ray diffraction patterns of lithium manganese oxide films grown with pressure ratios of 3 and 6 and chamber pressure of 13 Pa: 共a兲 as-grown, pressure ratio of 3; 共b兲 as-grown, pressure ratio of 6; 共c兲 postannealed, pressure ratio of 3; and 共d兲 postannealed, pressure ratio of 6. these broad peaks at ⬃2 = 18°, 36°, and, 44°. These are consistent with diffraction from the 共111兲, 共311兲, and 共400兲 planes of a spinel structure.29 In contrast, XRD pattern of the film grown at a pressure ratio of 6 did not exhibit any of the spinel structure peaks, but instead had a relatively sharp peak at a 2 of ⬃36°. More thorough analysis of this diffracted pattern has been performed, and it has been found that the thin film had a disordered rock salt like structure probably due to low substrate temperature and the smaller fraction of clusters in the deposited flux.30 After heat-treatment in air at 700 ° C for an hour, examination of the XRD data indicated that all the films had fully converted to a cubic spinel structure. The films grown with the lower pressure ratio of 3, exhibited many peaks, which matched those of the 共111兲, 共311兲, 共222兲, 共400兲, 共331兲, and 共511兲 planes of a cubic spinel. Films grown using the higher pressure ratio had only two peaks corresponding to 共111兲 and 共222兲 planes of the cubic spinel structure regardless of the chamber pressure. Pole figures were constructed to investigate the degree of the preferred orientation of films grown with the lower and higher pressure ratios, Fig. 8. The former had an almost random texture.31 Whereas the film fabricated at the higher pressure ratio exhibited strong 具111典 texture. The chamber pressure had a little effect upon this strong 具111典 texture when the films were deposited with a higher pressure ratio. 119 FIG. 8. Pole figures of lithium manganese oxide films annealed 700 ° C in air for 1 h. 共a兲 Grown at a pressure ratio of 3 and chamber pressure of 13 Pa. 共b兲 Pressure ratio of 6 and chamber pressure of 13 Pa. The texture strengths of 共a兲 and 共b兲 are 1.07 and 2.96, respectively. A texture strength of unity indicates random texture 共Ref. 31兲. The low pressure ratio sample had almost random texture while that deposited at higher pressure ratio was much more textured with a predominance of 共111兲 planes coplanar with the coating surface. D. Composition estimates The lattice parameters of EB-DVD lithium manganese oxide films were measured from XRD data. All of the annealed EB-DVD lithium manganese oxide films had a similar lattice parameter of 8.213 Å 共±0.02兲. This lattice parameter is slightly less than that of stoichiometric LiMn2O4, 8.247 62 Å. It is well known that there is a strong relationship between the lattice parameter and manganese oxidation state, which is dependent upon composition.7,32 A lattice parameter that is smaller than that of stoichiometric LiMn2O4 is consistent with an oxygen or lithium rich cubic spinel structure.33 Compositions of several of the EB-DVD lithium manganese oxide films were measured using XPS, ICP-AES, and RBS and all were found to be Li1+xMn2−yO4 共0.8⬍ x ⬍ 0.125 and y ⬃ 0.2兲, consistent with a manganese deficient spinel structure. IV. DSMC RESULTS Table II summarizes the nonreaction results and gives the estimated vapor flux, incident angle, and adatom energies for copper. It can be seen that the average vapor atom speed, density and incident flux 共on the substrate兲 all increased with TABLE II. Summarized DSMC results for the synthesis conditions used in the experiment. 共The incident flux and ad-atom energy were obtained at the front of the substrate. The average incident angle is the measurement from the normal to the substrate.兲 Average Average Average Average Average Cu atom Cu atom Cu atom Pressure Chamber Cu atom Cu atom ratio pressure 共Pa兲 velocity 共m/s兲 density 共/m3兲 incident flux 共/m2 s兲 incident angle 共°兲 energy 共eV兲 6 6 3 13 3.5 13 JVST A - Vacuum, Surfaces, and Films 991 386 368 1.3⫻ 1019 0.43⫻ 1019 1.0⫻ 1019 1.3⫻ 1021 1.6⫻ 1020 5.1⫻ 1020 36.4 30.9 32.3 0.055 0.048 0.048 120 S. W. Jin and H. N. G. Wadley: Lithium manganese oxide films 120 FIG. 9. Top: simulated vapor atom velocities for experimental processing conditions studied here: 共a兲 pressure ratio of 6, chamber pressure of 13 Pa; 共b兲 pressure ratio of 3, chamber pressure of 13 Pa; and 共c兲 pressure ratio of 6, chamber pressure of 3.5 Pa. Bottom: simulated vapor atom densities under experimental processing conditions studied here: 共a兲 pressure ratio of 6, chamber pressure of 13 Pa; 共b兲 pressure ratio of 3, chamber pressure of 13 Pa; and 共c兲 pressure ratio of 6, chamber pressure of 3.5 Pa. the pressure ratio and chamber pressure. The incident flux upon the substrate is correlated to the higher deposition rate. Figure 9 shows the vapor atom velocity and density during the deposition. It is clear that the higher pressure ratio and chamber pressure 共pressure ratio ⬃6, and chamber pressure ⬃13 Pa兲 generate faster and more focused vapor stream to the substrate yielding a higher deposition rate. With the same pressure ratio of 6, the lower chamber pressure 共3.5 Pa兲 inefficiently focused the vapor atoms due to the lower collision rate between the helium gas jet and vapor atoms. This also resulted in a lower vapor atom speed. Other deposition parameters such as the average incident angle 共from the normal to the substrate兲 and adatom energy 共near the substrate兲 were not so sensitive to the deposition conditions. Figure 10 shows DSMC results when clustering was permitted. The critical factor, which governs the film microstructure, is not the absolute number of clustered atoms, but the ratio of monomer to clusters to the substrate. Figure 10 clearly demonstrates that a lower pressure ratio and higher chamber presser produce a much higher fraction of clustered atoms near the substrate. very high rate of film growth which was more than two orders of magnitude greater than that reported for the sputter synthesis of lithium manganese oxide films.15,16 The fraction of the emitted vapor reaching the substrate could be adjusted by changing the pressure ratio and chamber pressure with potentially significant consequences for those interested in developing efficient, high rate deposition processes for the growth of lithium manganese oxide thin films. The effects of changes to the process conditions upon the film morphology are less easily explained. Increasing the pressure ratio during film deposition reduced the pore vol- V. DISCUSSION During sputtering 共and conventional electron beam deposition兲, the vapor flux angular distribution emitted from the source is broadly distributed and only a small fraction reaches the substrate. The use of gas jets to focus the vapor from an electron beam evaporation source has resulted in a J. Vac. Sci. Technol. A, Vol. 26, No. 1, Jan/Feb 2008 FIG. 10. Ratio of number of clustered atoms to monomers near the substrate. 121 S. W. Jin and H. N. G. Wadley: Lithium manganese oxide films ume fraction and increased the texture of the as-deposited films. During physical deposition processes film structures are usually manipulated by the adatom energy,34 the deposition rate,35 and the adatom incidence angle to the substrate34 which can all be modified to some extent by the chamber pressure.36 However, we find that the increases in velocity of the vapor species associated with the use of high chamber pressures and high pressure ratios 共obtained from a DSMC analysis; see Table II兲 were too small to account for the significant changes in film structure. The simulations also indicate minor changes to the average vapor incident angles 共Table II兲 and so this also cannot be responsible for the film morphology differences observed as the chamber pressure and the pressure ratio were varied. Finally, it is well known that increasing the deposition rate usually produces more porous film morphologies. However, in the current study, the films produced using the higher deposition rate 共pressure ratio of 6 and chamber pressure of 13 Pa兲 resulted in the denser film morphology than those grown using the lower deposition rate 共pressure ratio of 3 and chamber pressure of 13 Pa兲. The most probable mechanism responsible for the morphological dependence upon pressure ratio is thought to be vapor clustering during vapor phase transport within the gas jets. The temperature of the vapor in the EB-DVD jet is low due to the strong supersonic nozzle expansion, vapor atoms are highly supersaturated because of the high melt surface temperature, and there is a very high density of helium atoms also present to remove the heat of formation of the clusters that form during gas phase collisions of vapor atoms and molecules.37 Once formed and stabilized in this way, the clusters can grow very rapidly. In a study of a related gas jet based process, Hill showed that the probability of cluster formation and the average cluster size were both a sensitive function of the time of flight of atoms to the substrate and the vapor atom density.38 The DSMC analyses support this assertion and indicate that the use of a high pressure, low pressure ratio jet, and a high vapor atom density results in significant vapor phase clustering. In the case of clusters formed under EB-DVD conditions, their kinetic energy is low 共⬍0.5 eV/ atom兲 and the deposition process is analogous to low energy cluster beam deposition 共LECBD兲.39,40 Molecular dynamic simulations of this process reveal that low energy clusters do not break apart upon impact on the substrate.41 This results in polycrystalline growth with clusters arrayed with random orientations.42 The formation of clusters with a spinel structure during their free flight to the substrate might also help to explain the appearance of this structure in the films grown under cluster deposition conditions. These observations are also clearly consistent with the grain structure and porosity of films grown using a low pressure ratio where highly porous films with the random texture were created. The strong texture of films grown using a high pressure ratio and at a low substrate temperature is commonly seen in physical vapor deposition.43 Under high pressure conditions, DSMC shows that the flux incident upon the substrate had a JVST A - Vacuum, Surfaces, and Films 121 higher velocity and a lower fraction of clusters. Recent molecular dynamics simulations indicate that the reassembly of vapor phase formed clusters on the surface is unlikely to be significant at the deposition temperatures used here.44 Competitive grain growth by individual atom atom addition to favored facets then occurs. The triangular facets that terminate the growth column of films with a 具111典 texture appear to be of a 兵100其 type.45 The very limited kinetic opportunities for atomic reassembly at the low growth temperature and high deposition rate may then account for the observation for the formation of a metastable rock salt structure in the asdeposited films. As already mentioned, porous films with a larger surface area are beneficial to electrochemical performance in thin film batteries because they provide a larger surface area for insertion and extraction of lithium ions.18,46 The surface morphology of Li4Ti5O12 film by sputtering and postannealing is almost identical to that of EB-DVD postannealed film grown at lower pressure ratio, and it had a significantly superior electrochemical performance than denser films.18 From this point of view, films, grown at lower pressure ratios, have a preferred microstructure for electrochemical applications because of their larger void volume fraction. However, the effect of isolated uniformly distributed pores and strong 共111兲 texture in films grown at higher pressure ratio on the electrochemical property is unknown. VI. SUMMARY Lithium manganese oxide films were fabricated on Si substrates with high deposition rate 共from 1.3 to⬃ 20 nm/ s兲 using an electron beam directed vapor deposition technique. The as-deposited films were composed of nanoscopic sized grains with either a rocksalt during deposition at high pressure ratios or a cubic spinel structure when film growth was conducted under low pressure ratio conditions. The films deposited at low pressure ratios are believed to have formed by the deposition of small nanoclusters that are nucleated in the vapor phase. Lattice parameter and composition measurements indicate that the films were slightly Mn deficient with a composition; Li1+xMn2−yO4, where x and y ⬎ 0. The deposition rate could be controlled by varying the gas jet pressure ratio and jet density. Significant film morphology changes were observed to accompany variations of these processing conditions. Increase of the pressure ratio increased the density and texture of the films. The rocksalt structures transformed to cubic spinel and the grain size and average pore size were both increased by heat treatment of the asdeposited films in air at 700 ° C. This resulted in the formation of an interconnected spongelike 共open兲 pore network in samples grown using lower pressure ratio deposition conditions. The pores became more isolated as the pressure ratio was increased. The results suggest that thin porous lithium manganese oxide films with a cubic spinel phase structure can be rapidly synthesized by electron beam directed vapor deposition followed by brief annealing at 700 ° C. The growth rates were more than two orders of magnitude higher 122 S. W. Jin and H. N. G. Wadley: Lithium manganese oxide films than those typically reported for films grown by sputter deposition methods. Some appear well suited for use as the cathodes of thin film lithium ion batteries. ACKNOWLEDGMENTS The authors thank Dr. Agnew for helping quantitative texture measurement and Dr. Menasian in Cornell Center for Materials Research for Rutherford backscattering spectroscopy. 1 J. B. Bates, N. J. Dudney, D. C. Lubben, G. R. Gruzalski, B. S. Kwak, X. Yu, and R. A. 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