Rajib
Sahu‡
*ab,
Dimitri
Bogdanovski‡
*b,
Jan-Ole
Achenbach
b,
Marcus
Hans
b,
Daniel
Primetzhofer
c,
Jochen M.
Schneider
ab and
Christina
Scheu
*ad
aMax-Planck-Institut für Eisenforschung GmbH, Max-Planck-Str. 1, 40237 Düsseldorf, Germany. E-mail: r.sahu@mpie.de; scheu@mpie.de
bMaterials Chemistry, RWTH Aachen University, Kopernikusstr. 10, 52074 Aachen, Germany. E-mail: bogdanovski@mch.rwth-aachen.de
cDepartment of Physics and Astronomy, Uppsala University, Box 516, S-75120 Uppsala, Sweden
dMaterials Analytics, RWTH Aachen University, Kopernikusstr. 10, 52074 Aachen, Germany
First published on 25th October 2023
Various compositional defects such as Mo3Al2B4, Mo4Al3B4, Mo6Al5B6 and Al3Mo, together with MoB MBene, are observed to be coexisting in a MoAlB MAB phase thin film grown at 800 °C by high-power pulsed magnetron sputtering. An overall film composition of Mo0.29Al0.33B0.38 is measured by time-of-flight elastic recoil detection analysis. The concurrent formation of these compositional defects in the MoAlB matrix occurs during the synthesis without using any chemical reagent, and their coexistence with the MAB phase is thermodynamically possible, as elucidated by density functional theory simulations. These defect phases are imaged at the atomic scale by aberration-corrected scanning transmission electron microscopy. A rough estimation of defect populations of 0.073, 0.037, 0.042 and 0.039 nm−1 for Mo3Al2B4, Mo4Al3B4, Mo6Al5B6 and Al3Mo compositional defects, respectively, is performed within the MoAlB matrix. The calculated energies of formation reveal that the Mo4Al3B4 and Mo6Al5B6 defect phases form spontaneously in the MoAlB host matrix, while the energy barrier towards the formation of the metastable Mo3Al2B4 phase is approx. 20 meV per atom. The small magnitude of this barrier is easily overcome during vapor phase condensation, and the surface diffusion of adatoms during deposition leads to local compositional variations and the coexistence of the defect phases in the host matrix. Additionally, at grain boundaries, the presence of MoB MBene is observed, with an interlayer spacing between two Mo2B2 units increasing up to ∼50% compared to the pristine MoAlB phase.
The synthesis of the orthorhombic MoAlB MAB phase at a lower temperature of 700 °C compared to prior literature procedures (above 1000 °C for the bulk phase)6,7,10 was established by our group and reported earlier.5,11–13 Various multi-dimensional defect phases (1D to 3D) have been found11,13 in a film grown by direct current (DC) magnetron sputtering at 700 °C. In this work, we demonstrate that other previously unobserved compositional defects occur upon synthesis of a MoAlB thin film via high-power pulsed magnetron sputtering (HPPMS) at 800 °C. The said defects exhibit the compositions Mo3Al2B4, Mo4Al3B4, Mo6Al5B6 and Al3Mo and are observed within a MoAlB grain and characterized at the atomic scale with aberration-corrected scanning transmission electron microscopy (STEM). Furthermore, all defects are shown to be very close in terms of their energy of formation to the MoAlB main phase via density functional theory (DFT) calculations, providing a thermodynamic explanation for their concurrent formation and coexistence. A rough estimation of the defect population within a MoAlB grain is performed. Furthermore, the formation of MBene MoB is also observed at the grain boundaries with a low fraction and consisting of delaminated Mo2B2 units with an interlayer spacing increased by ∼50% when compared to MoAlB. Thus, we provide the first structural description of Mo4Al3B4, Mo6Al5B6 and Al3Mo defect phases formed in a MoAlB thin film matrix during physical vapor deposition, i.e. without using any chemical etching agents, which was hitherto unreported.
Full structural optimization of the obtained models was performed using the Vienna ab initio simulation package (VASP, version 5.4.4., University of Vienna),17–19 utilizing projector-augmented waves (PAW)20 for basis set generation with a cutoff energy of 500 eV. To account for electronic exchange and correlation effects, the well-established parametrization of the generalized gradient approximation by Perdew, Burke and Ernzerhof (PBE)21 was employed, with “semi-core” electron configurations used in the atomic potentials generating the basis sets: 5s24d44s24p6 for Mo, 3s23p1 for Al and 2s22p1 for B. The Methfessel–Paxton22 scheme was employed for Brillouin zone integration along a k-mesh of 14 × 1 × 14 points (corresponding to the a, b, and c crystallographic directions) generated by the Monkhorst–Pack method.23 This mesh size has been shown to be sufficient to ensure energetic and force convergence in prior tests.
The total ground-state energies of the fully optimized structures were then used to calculate the energies of formation at 0 K vs. the constituting elements (bcc Mo, fcc Al and α-B) by subtracting the summed energies of the starting materials from the total energy of the defect phase in question, accounting for correct stoichiometric coefficients.
Before discussing the defects in detail, it is worth mentioning that the fast Fourier transformation (FFT) (inset in Fig. 1b) confirms that the MoAlB matrix possesses an orthorhombic crystal structure, with lattice parameters in accordance with literature values (a = 3.18 Å, b = 14.12 Å and c = 3.12 Å).5 Selected area diffraction patterns are available in the ESI (Fig. S2†). Similar to a film synthesized via DC sputtering,11,13 both Al-rich and O-rich impurity phases are also observed here. Elemental composition mapping of Mo, Al and O by STEM EDX is available in the ESI (Fig. S3†). Depth profiling by ToF-ERDA reveals a homogeneous composition of Mo0.29Al0.33B0.38 with Mo/Al and Mo/B ratios of 0.91 and 0.79, respectively, indicating an overall off-stoichiometric composition similar to the DC sputtered film with a composition of Mo0.31Al0.32B0.37.11 However, densification of the film through employment of HPPMS causes a significantly lower oxygen content of ∼2 at% vs. ∼4 at% obtained after DC sputtering; this densification reduces oxygen incorporation through atmospheric exposure, which is also governed by the film morphology.25 The ERDA depth profile is provided in the ESI (Fig. S4†). Further structural defect analysis at the atomic scale is described in later sections.
Growth-kinetics-induced defects, including compositional defects (CDs), in the MoAlB system were already reported in films synthesized by DC magnetron sputtering.11,13 Al deintercalation by chemical etching is commonly employed, leading to CD formation in the MoAlB bulk phase.7,10,26 The synthesis of various metastable CDs in the present approach of thin film growth without using any external chemical reagent and their characterization are discussed here. The 434-type (referring here, and further throughout, to the stoichiometric coefficients of Mo, Al and B in the compound in question) Mo4Al3B4 MAB phase (red arrows) and the 324-type Mo3Al2B4 (white arrows) phase are shown in the ADF STEM micrograph in Fig. 2a. Low magnification imaging over the grain boundary region reveals the extension of the Mo4Al3B4 phase (dotted red bracket) across two grains. As the intensity in HAADF STEM is roughly proportional to Z2 (where Z is the atomic number),27 the bright atomic columns are Mo atoms and dark grey ones are Al, while B is not detectable due to the low atomic number. As described below, the position of B atomic columns will be depicted in ABF STEM images. A magnified HAADF STEM micrograph illustrates coexisting 222-type MoAlB and 434-type Mo4Al3B4 MAB phases within the grain interior (Fig. 2b). A single unit of a Mo4Al3B4 MAB phase (in the cb plane) is marked by a double-headed red arrow in Fig. 2b, with an overlaid structural model of Mo (purple dots), Al (blue dots) and B (green dots) marking the individual atomic positions (inset Fig. 2b). The presence of an interlayer spacing of 2.6 ± 0.1 Å between neighboring Mo2B2 subunits indicates the pristine MoAlB phase, while a spacing distance of 1.7 ± 0.1 Å is calculated for the Mo4Al3B4 area. More images of Mo4Al3B4 defects from other grains are provided in the ESI (Fig. S5†). A detailed discussion of the Mo3Al2B4 compositional defect is provided in a later section.
The HAADF STEM micrograph in Fig. 2c reveals an additional 656-type Mo6Al5B6 defect phase (blue arrows) inside the MoAlB matrix, with each double-headed blue arrow in the high-resolution STEM image in Fig. 2d indicating a single unit of this phase at the atomic scale. Interestingly, some of the Mo6Al5B4 layers are defective, with one Mo2B2 unit rotated by 90°, similar to the observations in twist grain boundaries.11,13 The rotated Mo2B2 units are identified and marked by black arrows inside the Mo6Al5B6 layers. A single Al layer (white arrows) is sandwiched between Mo2B2 units aligned along the [100] zone axis and its [001] tilt boundary. More details of twist grain boundaries in this film are available in the ESI (Fig. S5 and S6†). Combined HAADF (Fig. 2e) and ABF STEM (Fig. 2f) micrographs at a higher magnification visualize the structure of a Mo6Al5B6 unit, with an overlay similar to that in Fig. 2d.
Furthermore, the coexistence of molybdenum aluminate (Al3Mo) and MoAlB phases inside the MoAlB matrix is observed and shown in HAADF STEM in Fig. 3a. In-depth analyses predict the formation of an Al3Mo phase, which is well known in the Mo–Al compound system28–30 in this temperature range. White arrows mark the Al3Mo phase at the atomic scale. Both Mo and Al atoms are identified and marked by purple and blue dots to reveal the atomic arrangement in this structural fault. A magnified section (marked by the white dotted rectangle) of the molybdenum aluminate region in the HRSTEM micrograph (Fig. 3b) shows a Mo atomic plane (purple dots) sandwiched between an Al bilayer (bottom) and trilayer (top). Two different interlayer spacings of ∼3.54 ± 0.08 Å and 2.46 ± 0.08 Å (indicated by black and red arrows, respectively) are measured in HAADF STEM. An Al double layer exhibits an ∼2.5 ± 0.1 Å projected distance (ab plane) between individual Mo2B2 units in the MoAlB phase. Analyzing and collating the corresponding BF, ABF and ADF STEM images in Fig. 3c–e, a strong indication for the existence of the Al3Mo phase is evident. Images of similar defects from different regions are presented in the ESI (Fig. S7†). Moreover, combined high-resolution HAADF STEM micrographs and geometrical phase analysis (GPA)31 provide quantitative maps of the local lattice distortion at the phase boundary of Al3Mo–MoAlB in Fig. 3f. This map is derived from the variation in interplanar spacing calculated by comparing it to the reference undistorted MoAlB region, highlighted in a red rectangle (Fig. 3f). The color scale used in this map corresponds to the upper (1%) and lower (−1%) limits of the total relative interplanar spacing difference (εxx). Additional components of the relative interplanar spacing difference tensor (εyy) are shown in the ESI (Fig. S8†).
The 324-type Mo3Al2B4 MAB defect phase shown in the cross-sectional HAADF STEM micrograph (Fig. 4) was already observed in our earlier DC sputtered films.13 However, in the present film synthesized via HPPMS, a much higher density of these CDs (marked by white arrows in Fig. 4a) was observed compared to the single-layer Mo3Al2B4 formation after DC sputtering.11,13 A rough phase fraction of all the outlined defects is given in the following section. Specific atomic column counting (Mo, Al and B) and measurements of the interlayer spacing indicate a compositional change from MoAlB to Mo3Al2B4 (Fig. 4b). The double-headed black arrow signifies a phase-pure MoAlB region with 5× bilayer Mo and 4× bilayer Al columns in Fig. 4b. Examining a similar area in the vicinity of the CD (double-headed white arrow), we notice that bilayer Mo, 3× trilayer Mo and 3× bilayer Al columns exist. Hence, the presence of Mo3Al2B4 is observed, consistent with the loss of an Al bilayer. The formation of Mo3Al2B4 phases in a MoAlB matrix is thermodynamically plausible due to the very small differences in formation energy calculated by DFT simulations.13 More HAADF STEM micrographs from different grains are provided in the ESI (Fig. S9†).
A rough estimation of the fractions of these described defect phases is performed by measuring the maximum number of intersection points of the CDs within a given length inside a MoAlB grain, thus obtaining a defect population. As an example, we illustrate the estimation of the Mo3Al2B4 defect phase population in one given grain: a line with a length of 110 nm is drawn perpendicular to the CD (indicated by the black line in Fig. 4a). Then the total number of CD sections is divided by the length of the black line, yielding a maximum population of ∼0.073 nm−1. Similar measurements were carried out for all defect phases. Average populations of 0.037, 0.042 and 0.039 nm−1 for the Mo4Al3B4, Mo6Al5B6 and Al3Mo phases within the MoAlB matrix were calculated, respectively. The corresponding line sectioning grains of these defect phases are available in the ESI (Fig. S5–S7†).
Apart from various CDs, frequently observed 2D MoB MBene regions at grain boundaries are shown in Fig. 5. HAADF STEM reveals MoB units without Al layers, marked by the dotted line and the bracket (Fig. 5a and b). Similar to our previous report,11 we observed Al deintercalation and local oxidation, leading to the formation of a 2D MoB MBene–AlOx heterostructure at the grain boundary. Chemical analysis by STEM EDX and its relative elemental intensity distribution are provided in the ESI (Fig. S10†). A significant increase in interlayer spacing between two neighboring Mo2B2 units is observed (double-headed white arrow) with an approximate value of 4.0 ± 0.2 Å (Fig. 5a), in contrast to a spacing in the range of ∼2.7 ± 0.1 Å in the pristine MoAlB MAB phase. Also, over an estimated length of ∼2 nm, MoB layer detachment (indicated by white dotted arrows) is marked as a 2D MBene feature in Fig. 5b. More images of MBene regions from various grains are provided in the ESI (Fig. S11†).
To gauge the energetics of the experimentally observed concurrent presence of multiple defect types in the MoAlB matrix, we have studied the energies of formation in the ground state via DFT calculations for Mo3Al2B4, Mo4Al3B4 and Mo6Al5B6 (the B-free Al3Mo phase was not considered). In these phases, the structural models replicated the morphology of the defects observed via STEM as closely as possible and preserved the stoichiometric ratios of 324, 434 and 656, respectively; however, due to computational constraints demanding periodicity, they were modeled as bulk phases and not as isolated regions in the host matrix. 2 × 1 × 1 supercells of the corresponding structural models are shown as projections in the ab plane (viewed along the c direction) in Fig. 6a, while their corresponding energies of formation are depicted in Fig. 6b.
In relation to the morphology, the defect phases Mo4Al3B4 and Mo6Al5B6 are closely related: along b, the former phase exhibits blocks of two Mo and two B layers each, followed by a single Al layer and another block of two Mo and B layers. Then, an Al bilayer separates the described structural subunit from an identical one which is shifted by 0.5 a, as seen in the middle structural model in Fig. 6a. The Al layer stacking can thus be described as dual–single–dual–single etc. In contrast, in the Mo6Al5B6 phase (bottom structural model in Fig. 6a), the double Al layers are bracketing a single block of two Mo and two B layers, followed by two such blocks, both shifted by 0.5 a, and separated from each other by a single Al layer, with the corresponding Al layer stacking now being dual–dual–single–dual–dual etc. Hence, a broad structural similarity of both defect phases is evident, especially in contrast to the Mo3Al2B4 model, in which blocks of three Mo layers and four B layers in total are separated by Al dual layers and again shifted by 0.5 a in relation to each other.
These general trends are reflected in the energies of formation at 0 K, ΔEf, referenced to that of pristine MoAlB as the baseline, as shown in Fig. 6b. We immediately noted that the energies of formation for Mo4Al3B4 and Mo6Al5B6 are nearly identical, congruent with the structural similarity; furthermore, interestingly, both lie in the negative energy region, indicating favored formation vs. pristine MoAlB. However, the energetic difference is minuscule, lying between 2 and 5 meV per atom, and likely has no physical meaning, stemming from the numerical error inherent in the DFT simulation. In contrast, the energetic difference compared with the Mo3Al2B4 bulk phase is significantly higher at approx. 0.04 eV per atom (i.e., 40 meV), which is outside the numerical error and indicates disfavored formation. If a B vacancy is introduced into the system (not shown in the structural models), however, the energetic difference drops to approx. 0.02 eV per atom, which likely reflects relief of internal stresses in the defect phase and a resulting more favorable total energy. However, we stress that all calculated differences of the energies of formation, including that of Mo3Al2B4, are very small in absolute terms, so that such small energy barriers can be readily overcome under off-equilibrium synthesis conditions for metastable phases, as known from the literature.32 This observation correlates well with the experimental evidence of defect phase formation presented in this work.
Summing up, we have observed the compositional defects Mo4Al3B4, Mo6Al5B6 and Al3Mo, previously not reported during MoAlB MAB phase thin film growth. They can be grouped in terms of their formation scenario: with a negative formation energy vs. the elements as obtained from DFT, the formation of Mo4Al3B4 and Mo6Al5B6 most likely occurs spontaneously, based on thermodynamic criteria alone. In contrast, the ΔEf of Mo3Al2B4 is above 0, indicating lower stability in relation to pristine MoAlB, but with an energetic barrier small enough to be overcome during PVD synthesis. We predicted the formation of these defect phases to be energetically feasible during film deposition by HPPMS, without necessitating the use of any chemical etching agents, in contrast to previously known synthesis methods. Further investigations need to be performed with regard to their formation for off-stoichiometric MoAlB composition, with a long-term outlook towards large-scale synthesis for future applications.
Footnotes |
† Electronic supplementary information (ESI) available. See DOI: https://doi.org/10.1039/d3nr04233b |
‡ These authors contributed equally to this work. |
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