Saurabh
Karwal‡
*a,
Bora
Karasulu‡
*b,
Harm C.M.
Knoops
ac,
Vincent
Vandalon
a,
Wilhelmus M.M.
Kessels
a and
Mariadriana
Creatore
*a
aDepartment of Applied Physics, University of Technology Eindhoven, 5600MB, P.O. Box 513, Eindhoven, Netherlands. E-mail: s.karwal@tue.nl; m.creatore@tue.nl
bDepartment of Chemistry, University of Warwick, Gibbet Hill Road, Coventry, CV4 7AL, UK. E-mail: bora.karasulu@warwick.ac.uk
cOxford Instruments Plasma Technology, North End, Bristol, BS49 4AP, UK
First published on 30th May 2021
Oxygen is often detected as impurity in metal and metal nitride films prepared by atomic layer deposition (ALD) and its presence has profound and adverse effects on the material properties. In this work, we present the case study of HfNx films prepared by plasma-assisted ALD by alternating exposures of CpHf(NMe2)3 and H2 plasma. First, we identify the primary source of O contamination in the film. Specifically, we find that the extent of O incorporation in HfNx films is determined by the flux of background H2O/O2 residual gases reaching the HfNx surface during the ALD process and leads to the formation of Hf–O bonds. Then, we report on the decrease in the concentration of Hf–O bonds in the film upon application of an external radiofrequency (rf) substrate bias during the H2 plasma step. The experimental work is accompanied by first principles calculations to gain insights into the O incorporation and its mitigation upon the impingement of energetic ions on the surface. Specifically, we find that the dissociative binding of H2O on a bare HfN surface is highly favored, resulting in surface Hf–OH groups and concomitant increase in the oxidation state of Hf. We also show that energetic cations (H+, H2+ and H3+) lead to the dissociation of surface Hf–OH bonds, H2O formation, and its subsequent desorption from the surface. The latter is followed by reduction of the Hf oxidation state, presumably by H˙ radicals. The atomic-level understanding obtained in this work on O incorporation and its abstraction are expected to be crucial to prevent O impurities in the HfNx films and contribute to the fabrication of other technologically relevant low resistivity ALD-grown transition metal nitride films.
Recently, we have reported on the growth of the conductive phase of hafnium nitride (δ-HfN) by adopting CpHf(NMe2)3 as Hf(IV) precursor and H2 plasma as co-reactant.13,14 We observed that the HfNx films contained 20 at.% oxygen.14 Furthermore, due to the formation of Hf–O bonds, a low Hf(III) oxidation state fraction of 0.65 was detected, contributing to a rather high film resistivity of 0.9 Ω cm.14 Moreover, we have also reported a decrease in the film resistivity by two orders of magnitude down to 3.3 × 10−3 Ω cm upon the application of an external radiofrequency (rf) substrate bias during the H2 plasma step with a time-averaged potential value (Vbias) of −130 V.13 This resulted from a decrease in oxygen content to below 2.0 at.% and a correlated increase in the Hf(III) fraction up to 0.82.13 These results suggest a correlation between the decrease in oxygen content in the films and the increase in the average energy of incident ions (Eion). However, the mechanism of the suppression of oxygen content enabled by energetic ions was not explored.
In this work, we first elucidate the primary source of oxygen incorporation in the film and study the dependence of oxygen content as a function of the total ALD cycle time. We find a gradual increase in the oxygen content when the ALD cycle time is increased. Subsequently, we demonstrate a gradual decrease in the density of Hf–O bonds in the HfNx films with an increase in Eion, enabled by the application of external rf substrate bias. By means of first-principles density functional theory (DFT) calculations, we provide an atomistic insight into the kinetics of chemisorption of gaseous H2O/O2 on the pristine HfN surface that leads to formation of surface Hf–OH groups. Subsequently, we show that energetic cations in the H2 plasma trigger the dissociation of surface Hf–OH bonds and lead to H2O formation, followed by its desorption. In addition, we hypothesize that the H˙ radicals in the H2 plasma reduce Hf(IV) to Hf(III) subsequent to H2O desorption, in-line with our previous report.13 The atomic-level understanding of the oxygen incorporation and the underlying mechanism of its removal provided here is expected to be key in devising efficient approaches for preventing oxygen impurities in the ALD-grown metal nitride and metal films.
X-ray photoelectron spectroscopy (XPS) measurements were performed using a Thermoscientific K-Alpha KA1066 system equipped with a monochromatic Al Kα (hν = 1486.6 eV) source in order to study the chemical bonds and the oxidation states of the elements present in the film. XPS measurements were carried out by first sputtering the HfNx film for 500 s (8 nm–10 nm) by Ar+ ions with low energy of 200 eV. This was done in order to eliminate the contribution of surface impurities from the first few layers of HfNx film and to ensure the measurement of chemical composition of the bulk HfNx film precisely. Rutherford backscattering spectrometry (RBS) was performed using 1900 keV 4He+ ions (Detect99) with two detectors at scattering angles of 170° and 150° in order to study the chemical composition of the HfNx layers.
All electronic structure calculations were done using the projector augmented wavefunction (PAW)31,32 as implemented in Vienna Ab Initio Simulation Package (VASP, v.5.3.5).33–36 Generalized gradient approximation (GGA) to DFT37,38 was used jointly with the Perdew–Burke–Ernzerhof (PBE) exchange correlation functional.39,40 DFT(PBE)-D3 corrections with Becke-Jonson damping41 were employed to account for van der Waals interactions on an empirical basis (see ESI section C1† for further computational details).
Fig. 1 O 1s XPS spectra for the (a) HfNx films prepared with grounded substrate (Vbias = 0 V) showing an increase in the O 1s peak associated to Hf–O bonds as a function of ALD cycle time. The difference in ALD cycle time is due to an extension of the pump-down time of the reactor. (b) HfNx films grown at various values of Vbias illustrating a steady decrease in the O 1s peak associated to Hf–O bonds from 20.1 at.% to <2.0 at.% upon increasing the Vbias from 0 V to −130 V and above. The corresponding film resistivity decreased from 0.9 Ω cm at Vbias = 0 V to 9.7 × 10−3 Ω cm at Vbias = −80 V and to 3.3 × 10−3 Ω cm at Vbias = −130 V.13 |
The effect of application of external rf substrate bias on the oxygen content in the HfNx films was subsequently investigated. The HfNx films were prepared using a H2 plasma exposure of 10 s (no pump-down step) and the magnitude of Vbias was gradually increased from 0 V to −187 V during the H2 plasma half cycle. Fig. 1b shows the O 1s XPS spectra as a function of the value of Vbias. Interestingly, the O 1s peak associated to Hf–O bonds significantly decreased upon increasing the Vbias from 0 V to −80 V, suggesting a decrease in the density of Hf–O bonds. Moreover, an increase in the Vbias to −130 V or higher led to a saturation in decrease of Hf–O peak intensity, yielding an oxygen content below 2.0 at.% as determined by RBS.13 Energetic ions may lead to the physical sputtering of oxygen. In the case of sputtering, a decrease in the areal density of nitrogen atoms is also expected to occur in parallel. In contrast, we reported an increase in the areal density of nitrogen atoms per cycle from 0.71 ± 0.03 atoms per nm2 at Vbias = 0 V to 1.53 ± 0.08 atoms per nm2 at Vbias = −130 V.13 This cannot be simply explained by sputtering. Therefore, a preferential abstraction of oxygen (and containing groups) is expected as a result of the impingement of energetic ions on the surface of growing film. The seminal works of Sigmund and Steinbrüchel show that ca. 10 times higher ion energy values than the bond energy value is required in order to dissociate molecular bonds, due to the inefficient transfer of the ion energy to the film surface.42,43 Following this, Kanarik et al. recently reported on the requirement of Ar+ ions with an Eion of ca. 50 eV in order to enable the dissociation of Si–Si bonds with a bond energy of 2.3 eV in order to facilitate the atomic layer etching of Si.44,45 In our case, assuming a similar energy transfer factor, an Eion of ∼90–100 eV seems adequate to dissociate the surface Hf–O bonds with a high bond energy of ∼5.4 eV, as computed using DFT calculation as will be shown later.
In order to gain insights into the oxygen incorporation in the HfNx films and its mitigation upon delivery of energetic ions to the surface, detailed DFT calculations were carried out. To this end, the dissociative binding of H2O and O2 on a bare HfN surface was simulated. Three δ-HfN models were generated for DFT simulations: one HfN(200) surface with equivalent N- and Hf- termination and two HfN(111) surface with either Hf- or N- termination (see ESI section C2, Fig. S2† for the discussion on HfN surface termination). The DFT calculations indicate that the surface energies for HfN(200) and HfN(111) surfaces are 10 eV nm−2 and 15 eV nm−2, respectively. This result suggests that HfN(200) surface is likely the predominant orientation.13 This is in-line with our experimental observations on the growth of polycrystalline δ-HfNx films, with the co-existence of HfN(200) and HfN(111) orientations at Vbias = 0 V and Vbias = −130 V.13 For brevity, we discuss here the results for the case of HfN(200) surface, whereas similar results for Hf(111) surface can be found in the ESI (section D2†).
Ab initio molecular dynamics (AIMD) simulations were performed to generate canonical (NVT) ensembles at 1000 K in vacuum environment, using 1 fs time step for a set of at least 3.0 ps trajectories. The model system used for bare HfN(200) surface contained 32 Hf and 32 N atoms on the topmost surface (ESI, section C2†). A total of 16 H2O molecules were placed atop the HfN(200) surface, providing a surface coverage ratio of one H2O molecule per two surface Hf sites (i.e. Hf:O = 2:1). MD simulations suggest that following a dissociative binding process, H2O molecules bind exclusively to Hf atoms, leading to the formation of Hf–OH bonds (Fig. 2), supporting the XPS results of Fig. 1a. Similar results were obtained for Hf(111) surface (see ESI section D2, Fig. S3† and the related discussion).
Furthermore, the dissociative binding of H2O molecules could proceed via two routes. The first involves the combination of two H2O molecules to yield a H2 molecule, with the two –OH groups easily binding on two Hf(III) sites (eqn (1)). The second route involves the binding of one –OH group at the Hf-site, whereas the additional H is transferred to the neighbouring N-site (eqn (2)).
2Hf(III)* + 2H2O(g) → 2Hf(III)δ+–OHδ−* + H2(g) | (1) |
Hf(III)* + N* + H2O(g) → Hf(III)δ+–OHδ−* + N–H* | (2) |
AIMD simulations suggest route 1 is most likely to occur, as concluded from the released H2 molecules and the absence of amine groups (N–H) (see Fig. 2 and ESI section D2, Fig. S3† for snapshots from the relevant MD trajectories). For a more quantitative comparison, the climbing-image nudged elastic band (CI-NEB) method was utilized for concerted binding of two H2O molecules on a pristine HfN(200) surface following each pathway. Fig. 3 shows the resulting minimum energy paths (MEPs) revealing that unlike the second pathway (eqn (2)), which has a high activation energy (Ea = 0.28 eV), the first one (eqn (1)) is both kinetically and thermodynamically highly feasible (Ea = 0.11 eV and ΔE = −2.05 eV), in-line with the above AIMD results. Furthermore, it should be noted that by assuming the pre-exponential factors in the Arrhenius equation to be similar in magnitude for the two reactions, at 25 °C the difference in kinetic barrier translates into a rate constant 750 times higher for route 1 than route 2.
Fig. 3 DFT/PBE-D3 level minimum-energy paths (MEPs) for the dissociative binding of H2O molecule(s) on the bare HfN(200) surface following the pathways as described in (a) eqn (1) and (b) eqn (2). The physisorption energies (with respect to the isolated HfN surface and H2O molecule) are −0.88 and −0.80 eV per H2O adsorbate, respectively, indicating a high surface sticking probability. Color code: cyan: Hf; blue: N; red: O; white: H. |
Based on the AIMD and NEB results, it can be concluded that the binding of H2O on a pristine HfN surface is expected to proceed via route 1, leading to surface Hf–OH groups. The overall reaction for hydroxylation of bare HfN surface can thus be written as in eqn (1), whereas the corresponding hypothesized redox half reactions are discussed in the ESI (section D2, eqn (S3)–(S7)†).
Furthermore, the low Ea agrees well with the easy incorporation of oxygen in the HfNx films prepared by plasma-assisted ALD with the grounded electrode as discussed earlier. It is worth mentioning that the reverse reaction (i.e. associative desorption of H2O) is energetically unfeasible, involving high energy barriers and high endothermicity. The latter conclusion falls in line with the high bond energy of ∼5.4 eV for surface Hf–OH bonds, as computed using DFT calculations (see section D2, eqn (S8)† and the related discussion), rendering surface –OH groups thermodynamically stable.
Related to this point, DFT calculations predict a strong initial physisorption of the H2O molecules (−0.88 and −0.80 eV per H2O molecule), which implies a low desorption rate as compared to the dissociative binding of H2O on the surface with low activation energies (see above). Taken together a high surface sticking probability is predicted, whereas the entropic contributions play a minor role in the sticking probability due to the small size of the adsorbate.
Alongside the background H2O, the dissociative binding of gaseous O2 on HfN surface was also investigated (see ESI section D3 for detailed discussion, Fig. S4†). The dissociative binding of O2 on HfN surface is found to be kinetically hindered (Ea = 0.25 eV) when compared to chemisorption of H2O.
The effect of energetic ions on surface functionalization was investigated next. First, the binding energies of distinct species in a H2 plasma towards surface –OH group was determined using static ab initio DFT calculations. Here, the plasma species have not been assigned any initial velocity (i.e. the species are without kinetic energy) and only the chemical affinity of different plasma species towards the surface –OH groups is probed. For simplicity, the HfN(200) surface was assumed to be fully hydroxylated (with Hf/O = 1:1), along with a fully oxygenated one (with Hf/O = 2:1) for comparison purposes (see ESI section E1, Fig. S5† for further discussion). Bader charge analysis46,47 reveals that the binding of 32 –OH groups leads to an increase in the total charge of HfN slab by ca. 16e, in-line with the partial oxidation of Hf(III) to Hf(III)δ+ (see note48 for a detailed discussion).
Based upon the experimental work of Sode et al.,49 a H2 plasma discharge is expected to contain H−, H+, H2+ and H3+ ions and H˙ radicals species. Table 1 summarizes the computed binding energies of all the possible H2 plasma species with the surface –OH groups at the PBE-D3 level. Furthermore, the corresponding reaction products as a result of their binding with surface –OH groups are also reported. The products are determined as a part of structure optimization procedure. Furthermore, since the plasma species were not given kinetic energy, the reaction products formed remain chemisorbed on the surface in their intermediate forms (for example, H+ ions lead to formation of surface Hf–[H2O]+ bonds).
Species | E ba [eV] | Reaction product(s) |
---|---|---|
a Binding energies are computed using Eb = Ep − EH − Es, where Ep is the product energy, EH and Es energies of the isolated hydrogen containing species and isolated hydroxylated HfN surface. | ||
H−/H/H+ | 0.05/−1.81/−2.25 | H2/H2/H2O |
H2−/H2/H2+ | 1.00/0.06/−14.71 | —/—/2H2O |
H3−/H3/H3+ | 2.30/−2.17/−12.95 | 2H2/2H2/H2O + H2 |
It can be concluded that the cationic species (H+, H2+ and H3+) show the highest affinity for the surface –OH groups. Furthermore, the cationic species are predicted to form H2O as a product upon reacting with surface –OH groups. In contrast, the anionic (H−, H2− and H3−) and neutral (H, H2 and H3) species are (energetically) reluctant to react with the surface –OH groups. The anionic and neutral species in the H2 plasma were found to yield volatile H2 products, leaving the surface –OH groups intact (see ESI section E2† for the results on fully oxygenated HfN surface).
Based on the energetics results, a set of redox half reactions that likely underlie the binding of H+ ions on Hf–OH surface groups are proposed and can be found in the ESI (section E3, eqn (S10)–(S14)†). Moreover, we hypothesize that following the liberation of H2O from the HfN surface, H˙ radicals in the plasma near the surface restore the pristine HfN surface via reduction of Hf(IV) to Hf(III) in a concerted reaction pathway (eqn (S12) and (S13)†), in-line with the previously reported XPS results.14 This hypothesis is also based on the application of H2 plasma to reduce the Pt(IV) and Ta(V) in the precursor to synthesize metallic Pt(0) and Ta(III)N films with ALD.50,51
Based on the experimental observations of the mitigation of oxygen incorporation due to energetic ions, a set of AIMD simulations were designed to probe this effect at molecular level. As aforementioned, the average energy (Eion) of the highly-reactive cationic species (H+, H2+ and H3+) in our experimental work is controlled by the application of external rf substrate bias.13,30 In these simulations, the fully hydroxylated HfN surface model (as previously introduced, Fig. S5†) was again assumed. In addition, 16 hydrogen cations (H+) were placed randomly 4.5 Å above the hydroxylated HfN surface in three separate tries (which differ in terms of initial H+ positions), and all ions were assigned with the same initial velocities directed towards the surface. A sample simulation model is visualized in Fig. 4a. Two cases with ion velocities of νi = 0.76 Å fs−1 and νi = 1.75 Å fs−1 were assumed in order to roughly model the resulting kinetic energy for the grounded electrode and rf substrate bias conditions (see ESI section E4, Table S5† for a substantiation of these values). The ions with a lower initial velocity did not lead to dissociation of surface Hf–OH bonds. AIMD simulations point at the formation of intermediate surface Hf–[H2O]+ species, which remains chemisorbed on the surface, and later dissociates to yield again the Hf–OH surface bonds. On the other hand, the ions with a higher initial velocity lead to abstraction of –OH groups from the surface and H2O liberation was observed within the same time frame (e.g. 350 fs simulation) (Fig. 4b). It should also be noted here that the DFT calculations were performed only for the H+ ions to limit the computational efforts, however the H2+ and H3+ ions are expected to yield similar results.
Fig. 4 Ab initio molecular dynamics (AIMD) simulation snapshots illustrating the desorption of H2O resulting from the impingement of energetic H+ ions with a velocity of 1.75 Å fs−1 on a fully hydroxylated HfN(200) surface at (a) Δt = 0.0 fs and (b) 350.0 fs. Color code: cyan: Hf; blue: N; red: O; white: H. See ESI section E4, Fig. S6† for additional snapshots of the movies and a real-time video file can be found in the ESI.† |
So far, we have discussed a one-off ion exposure event (i.e. a single layer of ions impacting the surface), while the HfN surface experiences a continuous flux of energetic ions in reality. In an attempt to crudely account for the continuous energetic ion flux, we performed analogous MD simulations with two layers of 16 H+ ions (instead of one) in the simulation model (with 3.5 Ȧ interlayer separation, data not shown). An extra layer of H+ ions with a νi value of 1.75 Ȧ/fs indeed led to an increase in the number of removed surface –OH groups as volatile H2O products with respect to a single layer H+ ions, thus suggesting an enhanced removal of the surface –OH groups upon increasing ion flux (see ESI section E5† for the discussion on surface termination subsequent to the abstraction of all surface –OH groups).
We show that the O content in the HfNx layers is determined by the total flux of H2O/O2 impinging on the HfNx surface during the entire ALD cycle. Next, we observed that an increase in the time-averaged substrate potential from 0 V to −130 V leads to a decrease in the density of Hf–O bonds in HfNx films due to the impingement of energetic ions.
By using DFT calculations, we found that the chemisorption of H2O on the bare HfN surface is kinetically and thermodynamically highly feasible, creating hydroxyl (Hf–OH) surface groups (I, Fig. 5). DFT calculations also revealed that only the cationic species (H+, H2+, H3+) present in H2 plasma are highly reactive towards the surface –OH groups. Moreover, an increase in the energy of incident cations was shown to not only dissociate Hf–OH surface bonds but also lead to H2O formation and desorption (II, Fig. 5). In addition, the H˙ radicals present in H2 plasma are hypothesized to reduce Hf(IV) to Hf(III) subsequent to H2O liberation (III, Fig. 5), in line with previously reported increase in Hf(III) fraction. These reactions can be considered as contributing to a so-called atomic layer cleaning (ALC) process.52
In perspective, these results shed light on the mechanism of oxygen incorporation and its mitigation for a wide range of ALD processes, where surfaces with high affinity towards oxidation are considered, such as TiNx, HfNx, MoCx, Ta, and enable ALD of low resistivity films with potential application in nano-electronics.10,53,54
Footnotes |
† Electronic supplementary information (ESI) available: ALD review table, ALD recipe schematic, H2O flux determination, DFT computational details and HfNx surface models, binding energy of plasma species, energetic ion impingement and surface redox reactions. See DOI: 10.1039/d0nr08921d |
‡ These authors contributed equally. |
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