Lanthanum aluminate (LaAlO3) has been of increasing interest due to its application in the field of two dimensional electron gases (2DEGs) when it is coupled with another insulator. One example is with SrTiO3 resulting in superconducting1, strong spin-orbit coupling2 and magnetic phenomena3. This substrate is also used to deposit low frequency dielectric SrTiO34 and high critical current density YBa2Cu3O7−x superconducting films5. LaAlO3 undergoes a structural phase transition from rhombohedral R−3c to cubic Pm-3m at ~430–530 °C6,7,8. Whilst the bulk structure of LaAlO3 has been documented at different temperatures and pressures, the surface crystallography and chemistry are less well understood due to the lack of characterisation techniques with appropriate sensitivity. However, in order to prepare an excellent interface, crucial for device performance, this knowledge is vital: for example it can directly affect the electronic density of states, valence edge shift and chemical activity. The termination of the LaAlO3 (001) surface has been reported to vary with temperature and oxygen partial pressure and there are inconclusive results reported in the literature9,10,11. Using time-of-flight scattering and recoil spectrometry, Yao et al.9 reported that under an ultra-high vacuum (UHV) environment the surface is terminated by an Al-O layer (from room temperature (RT) to ~150 °C), a mixed Al-O/La-O (150–250 °C) and finally a La-O layer (above 250 °C). In another study using low energy neutral scattering spectroscopy, Kawanowa et al.10 found at 2 × 10−10 Torr a mixed Al-O/La-O (RT) and La-O (727 °C) termination. In addition, a mixed Al-O/La-O termination at 400 °C under 10−10 Torr was proposed using data from scanning tunnelling microscopy and ion scattering spectroscopy11. Using molecular dynamics simulation, Jacobs et al.12 suggested that a termination of LaO (1.37 J m−2) was energetically favoured over AlO2 (1.79 J m−2).

Surface X-ray diffraction (SXRD) is now recognised as a very high resolution structural probe of two dimensional crystals in the form of a surface or interface and complementary to other techniques such as scanning tunnelling microscopy and low energy electron diffraction13,14,15. Crystal truncation rod (CTR) profiles16,17 result from the periodicity perpendicular to the surface plane being broken (‘truncated’), leading to streaks between the Bragg peaks rather than discrete points of intensity18,19. It is the modulation in intensity along these streaks (resulting from interference between the bulk and surface scattering) that provides high sensitivity to the surface structure and details of the registry with the bulk. CTR measurements are generally carried out using synchrotron radiation (due to the weak surface scattering), and record the intensity as a function of the perpendicular momentum transfer (), for integer values of the in-plane indices (h and k). The total structure factor20,21 is given by


where fj is the atomic scattering factor of atom j, B the Debye-Waller parameter, (x, y, z) the atomic coordinate within the unit cell, α an attenuation factor and θ the surface occupancy factor.

The only report, by Francis et al.22, utilising this CTR technique to study the surface structure of LaAlO3 described an Al-O termination on the (001) surface at both RT and 400 °C under UHV (1 × 10−10 Torr) conditions. At both temperatures, the top surface oxygen position was found to move vertically away from the bulk accompanied by an inward relaxation of the aluminium atom. Their results focused only on measurements of the h0 rods and specular reflectivity meaning that they were insensitive to the full in-plane relaxation. Instead the lateral movements were constrained using symmetry arguments (and bond distance and valence) to prevent chemically unrealistic solutions.

In this report, we collected a comprehensive set of CTRs, in-situ on a single crystal LaAlO3 (001) substrate, over a large range of reciprocal space (namely 00, −20, 01, 11, 12, −1−2). The effect of temperature on the surface structure was probed (both below and above the rhombohedral – cubic phase transition (i.e at RT and 600 °C, respectively)) whilst the role of oxygen pressure (10−10 and 10−6 Torr) was also investigated. This is key information to enable the deposition of high quality La(Ni, Co, Mn)O3-δ and YBa2Cu3O7-δ thin films for intermediate temperature solid oxide fuel cell cathodes and high temperature superconductors, respectively.

Results and Discussion

Crystal truncation rod (CTR) experiments on the as-received samples demonstrated a very high quality to the surface of the crystal as revealed by the presence of a CTR signal at all positions along the rod (see supplementary information, Fig. S1). It is well known that surface roughness makes the CTR signal disappear in between the Bragg peaks and to reduce the possibility of introducing oxygen vacancies through annealing we chose to use the as-delivered samples as the initial sample condition. The samples were measured under four conditions (i) RT, 10−10 Torr, (ii) 600 °C, 10−10 Torr, (iii) 600 °C, 10−6 Torr of oxygen and (iv) RT, 10−6 Torr of oxygen (Fig. S2). A comparison of the CTRs collected at different temperature and chamber pressure conditions is presented in Fig. 1. The first minimum in the rod profiles shifts to lower values for samples measured at higher temperature (600 °C), clearly observed for the −20, 11 and 12 rods (for example, the minimum shifts from  = 1.46 for RT, 10−10 Torr to 1.44 for 600 °C, 10−10 Torr and 600 °C, 10−6 Torr and returns to 1.46 for RT, 10−6 Torr for −20 rod). However varying the oxygen pressure did not affect the profiles significantly (details of the fits to these data at different conditions are presented in the supplementary information). The small peak observed at ~0 1 1.3 and ~−2 0 1.3 is a powder ring feature, attributed to scattering from the Ta clip of the sample holder and is therefore not included during the fitting. In order to model the surface structure, four atomic layers (LaO – AlO2 – LaO – AlO2) were included in the surface model (shown in Fig. 2) consistent with the work of Francis et al.22. A cubic coordinate system to define the crystal lattice was used with a lattice parameter of a1 = a2 = a3 = a = 3.7913 Å. The as-received (without any prior cleaning) LaAlO3 (001) single crystal substrate measured at RT and 10−10 Torr showed a very poor fit (χ2 = 10.6) for a simple bulk termination model, which was only marginally improved (χ2 = 10.4) when roughness was included as shown in Fig. 3. Whilst non-crystalline surface impurities may remain on the substrate, these would lead only to an increase in the background diffuse scattering and not contribute to the CTR. The surface occupancy of each atomic layer (AlO2 and LaO) was the initial fitting parameter refined during the analysis. An occupancy value of 1 corresponds to a complete layer of the bulk terminated structure. The best fits showed the outermost surface to be well oriented and terminated with AlO2 but with a reduced occupancy of 0.121(6), whilst the occupancy of the second layer (LaO) was 0.321(2). The next two atomic layers were fully occupied. The atomic positions in the out-of-plane direction (along the sample normal) were subsequently refined, leading to an optimised χ2 value of 2.4. Subsequent relaxation of the lateral (in-plane) atomic positions resulted in an improved fit (χ2 = 1.9) especially visible for 01 L and −1–2L CTRs (Fig. S3). The fit to this extensive data set improves on the accuracy of the lateral displacements reported by Francis et al.22. The best fit parameters are presented in Table 1 and the resulting CTR fit is shown in Fig. 3. The out-of-plane displacements of the Al within the top AlO2 layer (Al(1) and Al(3)) were outwards from the bulk positions by 0.10(6) and 0.136(10) Å respectively, accompanied by a smaller inward relaxation of the heavier La(2) and La(4) cations (within the second layer LaO) of −0.090(5) and −0.019(2) Å respectively.

Figure 1: Comparison of 00, −20, 01, 11, 12 and −1–2 CTR profiles obtained at four different conditions: RT and 10−10 Torr (black), 600 °C and 10−10 Torr (red), 600 °C and 10−6 Torr (blue) and RT and 10−6 Torr (magenta).
figure 1

Dashed line is provided as a guide to the eye to indicate the shift in . For −20 rod, only a portion of 1.0 ≤  ≤ 2.0 is presented to emphasise the shift in the rod minimum. The small peak observed at ~0 1 1.3 and ~−2 0 1.3 originated from the polycrystalline Ta clip of the sample holder.

Figure 2: Surface crystal structure representation consisting of four atomic layers (ALs) (AL1: Al(1)O(1a)O(1b), AL2: La(2)O(2), AL3: Al(3)O(3a)O(3b), AL4: La(4)O(4)) that were allowed to relax on top of the ideal bulk structure where the surface starts at z = 0.
figure 2

Positive displacement in zz) represents the outward displacement towards the vacuum.

Figure 3
figure 3

Observed CTRs (dots with error bars) for LaAlO3 crystal measured at RT and 10−10 Torr and the calculated profiles with full occupancy and bulk atomic positions (green line), refined occupancy and ideal bulk positions (blue line) and the optimised fit with refined atomic positions and occupancy (red line).

Table 1 Bulk-terminated atomic positions and optimised displacements (Δ) and occupancy of the surface (four atomic layers) at different conditions.

Fits to the data recorded at a higher sample temperature of 600 °C in ultrahigh vacuum indicated an increase in the occupancy of the first atomic layer of AlO2 to 0.245(10), whilst that of the second layer LaO reduced slightly to 0.306(2). The data is not consistent with termination reversal to a La-O upper layer at this high temperature, in contrast to reports by Yao et al.9 and Kawanowa et al.10 for temperatures above ~250 °C and 727 °C, respectively. The increase in Al occupancy was accompanied by a larger relaxation along the surface normal of Al(1) and Al(3) of 0.26(3) and 0.184(8) Å, respectively (Table 1). The high resolution of the technique is highlighted by the sensitivity to the out-of-plane atomic position of the La(2) atom which has a very strong influence on the position of the first minimum in the CTRs (shifted to lower in the higher temperature data). Specifically we find that ΔzLa(2) = −0.090(5) Å at RT and −0.032(5) Å at 600 °C leading to detailed information not only about the chemical segregation but also about surface relaxation.

Low energy ion scattering (LEIS) spectroscopy is a highly sensitive technique used to measure the atomic composition of the outermost atomic surface23,24. At all the temperatures measured, the primary ion yield for La is relatively high. This is consistent with the primary ions being also scattered by the atoms from the second layer LaO layer that are not shielded by the partially occupied outermost AlO2 layer. In addition, the scattering cross-section of La is higher than Al25. The ratio of the area under the peak of La to Al decreases as the temperature increases, which indicates a surface enrichment of Al at higher temperature (Fig. 4). Minor peaks at 846 and 1376 eV can be attributed to carbon and fluorine contamination, respectively. These species are likely to originate from the heating chamber or during the growth of the single crystal sample. These low atomic number elements have low X-ray scattering factors, and would therefore not contribute significantly to the CTR profiles. Theoretical work by Read et al.26 and Zhou et al.27 on La2NiO4 predicted that the B site of A2BO4 Ruddlesden-Popper type oxides (A = rare earth, alkaline earth; B = transition metal) would be the preferential surface termination, in agreement with our data. Experimentally, however, the B-O rich surface has not been found in other doped ABO3 perovskites: La0.6Sr0.4Co0.2Fe0.8O3−δ and its derivatives such as the GdBaCo2O5+δ double perovskites, and La2−xSrxNiO4+δ single crystals characterised by LEIS, CTR and angle-resolved X-ray photoelectron spectroscopy (AR-XPS), were reported to show surface segregation of the A cations28,29. In LaAlO3, the absence of transition metals and alkaline earth elements that tend to segregate to the surface30,31, and are present in other perovskite cathodes may lead to different terminations, which requires further investigation.

Figure 4
figure 4

(a) Low energy ion scattering spectra of the LaAlO3 substrate and (b) La/Al area ratio under the peak measured in-situ at different temperatures showing a decrease in La/Al as temperature increases. Minor peaks at 846 and 1376 eV are attributed to carbon and fluorine, respectively.

Knowledge of the detailed structure of the interface aids in understanding the behaviour of device structures reported in the literature where LaAlO3 has been used. For example Liu et al.32 reported the deposition of SrTiO3 films onto LaAlO3 substrates at 800 °C in which n-type behaviour was expected due to a LaO-TiO2 interface, from the presumed La-O termination on the LaAlO3 substrate. This n-type interface should have shown metallicity characteristic of a two dimensional electron gas (2DEG)33. However, insulating behaviour was observed. The nonpolar surface of the LaAlO3 substrate (caused by the surface reconstruction), interfacing with nonpolar SrTiO3, which supresses the existence of the polar discontinuity, was proposed to be the main reason. However, based on the current study, an AlO2 terminated surface would be expected to form a p-type interface with SrTiO3 which typically requires an extra half a hole or removal of half an electron per surface unit to maintain charge neutrality, by creating an oxygen vacancy (Sr2+ O0.751.5−)34. This p-type of interface is reported to be insulating33 and may provide an alternative explanation of the observed behaviour.

The surface AlO2 occupancy was determined to be even higher (0.325(9)) when oxygen was admitted into the chamber to a pressure of 10−6 Torr at 600 °C. This increase in occupancy is only apparent for the outermost species in the first atomic layer whilst the second layer LaO occupancy is relatively stable at 0.3120(17). The top layer Al atoms, Al(1) and Al(3), move further outwards, away from the bulk terminated position compared to the measurements under ultrahigh vacuum. Cooling the single crystal back to RT under the same oxygen pressure (10−6 Torr) resulted in a further change to the occupancy of the AlO2 outermost surface layer. The occupancy of this layer was refined to be 0.174(9), significantly reduced from that of the surface at 600 °C, but still slightly higher than that determined at the same temperature but under ultrahigh vacuum. The optimised fits under different experimental conditions are shown in Figs S4–S6 whilst fully optimised atomic positions and occupancies are tabulated in Tables S1–S4.

The overall displacements of the cations along the surface normal and laterally are presented in Figs 5 and S7 respectively. Structural representations along the [010] and [100] directions are shown in Figs 6 and S8, respectively. The increase in the outer layer occupancy, observed at higher temperature and pressure, is accompanied by an increase in the outward relaxation (Fig. 7). In all experimental conditions, the Al displacement in the outer layer is outwards (away from the bulk) whilst the heavier La displacement in the second layer is always inwards (towards the bulk). A consistent finding was also reported in another non-polar SrTiO3 perovskite where Ti was found at the surface with the displacement going away from the bulk for (1 × 1) RT UHV, (2 × 1) RT UHV and (1 × 1) 750 °C, 10−3 Pa, except for (2 × 2) RT UHV35,36.

Figure 5: Displacements in zz) for La (black square), Al (red circle) and oxygen (blue triangle) at different nominal z-positions.
figure 5

The surface is defined at nominal z = 0. Positive and negative Δz refer to a shift towards the vacuum and bulk, respectively. Dashed line indicates that there is no displacement along z.

Figure 6
figure 6

Structural representation projected along [010] comprises the bulk and surface species at different conditions whilst the [100] projection is presented in Fig. S8.

Figure 7
figure 7

Displacement of z (squares) and occupancy of the first atomic layer of Al(1) (triangles) at different experimental conditions showing an increase in Al(1) occupancy as it displaces more towards the vacuum.


In summary, the surface of a LaAlO3 single crystal substrate was found to significantly deviate from the ideal bulk structure. The outermost surface is mainly terminated by Al-O species whose occupancy increases with elevated temperature and under higher oxygen pressures, as determined by crystal truncation rod analysis and low energy ion spectroscopy. This is not ideal for in 2DEG applications where an insulating p-type interface with SrTiO3 is likely to form. The La-O in the second atomic layer is not fully occupied but was relatively unmodified over the range of temperatures and pressures studied. Under all conditions there was an outwards relaxation of the AlO2 terminating layer, which increased at higher temperatures and pressures, whilst the second layer La cations showed a smaller inward relaxation (≤0.090(5) Å) that was independent of the measurement conditions.


Crystal Truncation Rods

Single crystal LaAlO3 (001) single-side polished substrates (5 × 5 mm2) were obtained from CrysTec Kristalltechnologie. The CTR measurements were carried out at the ultrahigh vacuum endstation of beamline I0737 of Diamond Light Source, using an X-ray energy of 12.2 keV (λ = 1.01627 Å), a hexapod sample mount for surface alignment and a two-dimensional Pilatus 100 K detector. The specular reflectivity (00) was recorded using a θ–2θ geometry (incidence angle = exit angle) with the surface normal horizontal while the CTRs were recorded with a fixed incidence angle of 0.5°. The structure factor was calculated from each image by taking the background subtracted integrated intensity of the CTR and applying correction factors to account for the polarisation correction and rod interception, prior to taking the square root. Data fitting was performed using the ROD and WinRod programs20.

Low Energy Ion Scattering

One of the as-received LaAlO3 (001) samples was also analysed using low energy ion scattering (LEIS, Qtac100 spectrometer, IonTOF Gmbh, Germany). The primary beam was a 3 keV 4He+, positioned normal to the surface with a collection angle of 145°. The sampled raster area of the LaAlO3 substrate used was 750 × 750 μm2. The spectra were measured in-situ at different temperatures and a chamber pressure of 10−9 Torr using an ion current of ~5 nA. The spectra were fitted using SurfaceLab 6 software (IonTOF Gmbh, Germany) with Gaussian peaks of different elemental components with the background described by error functions38,39.

Additional Information

How to cite this article: Pramana, S. S. et al. Understanding surface structure and chemistry of single crystal lanthanum aluminate. Sci. Rep. 7, 43721; doi: 10.1038/srep43721 (2017).

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