The delivery of an elemental cation flux to the substrate surface in the oxide molecular beam epitaxy (MBE) chamber has been utilized not only for the epitaxial growth of oxide thin films in the presence of oxygen but also in the absence of oxygen for the growth temperature calibration (by determining the adsorption temperature of the elements) and in situ etching of oxide layers (e.g., Ga2O3 etched by Ga). These elemental fluxes may, however, leave unwanted cation adsorbates or droplets on the surface, which traditionally require removal by in situ superheating or ex situ wet-chemical etching with potentially surface-degrading effects. This study demonstrates a universal in situ approach to remove the residual cation elements from the surface via conversion into a volatile suboxide by a molecular O2-flux in an MBE system followed by suboxide evaporation at temperatures significantly below the elemental evaporation temperature. We experimentally investigate the in situ etching of Ga and Ge cation layers and their etching efficiency using in situ line-of-sight quadrupole mass spectrometry and reflection high-energy electron diffraction. The application of this process is demonstrated by the in situ removal of residual Ga droplets from a SiO2 mask after structuring a Ga2O3 layer by in situ Ga-etching. We predict this approach to be generally applicable in MBE and metalorganic chemical vapor deposition to remove residual elements with vapor pressure lower than that of their volatile suboxides or oxides, such as B, In, La, Si, Sn, Sb, Mo, Nb, Ru, Ta, V, and W.

Transparent semiconducting oxides like Ga2O3, In2O3, SnO2, and GeO2 have been rediscovered as promising (ultra-)wide bandgap semiconductors for applications in power electronics.1–5 Their growth as epitaxial thin films by molecular beam epitaxy (MBE) is beneficial for materials exploration and device applications, both requiring a high-degree of purity and crystallinity.

In the MBE growth of oxides possessing volatile suboxide such as Ga2O3, In2O3, SnO2, and GeO2 from elemental sources (Ga, In, Sn, and Ge), the provided elemental flux is oxidized via a first oxidization step to form suboxides (Ga2O, In2O, SnO, and GeO) on the substrate. The suboxide is further oxidized via a second oxidization step to form solid oxide thin films.6,7 The competing desorption of the intermediately formed suboxide (typically having a higher vapor pressure than its cation element) can decrease the thin film growth rate. While in an oxide MBE-growth chamber, suboxides were also found to form (and evaporate) readily from the elemental sources at a typical molecular O2 background pressure present during growth,8,9 their oxidation into the stable oxide (e.g., Ga2O3, In2O3, SnO2, GeO2, and SiO2) required more reactive oxygen species, e.g., provided by an oxygen plasma.7,8,10–13 Solely, the growth of In2O3 at a low growth rate of 0.6 nm/min has been demonstrated using molecular O2.14 

Beyond the mere epitaxy, delivering an elemental cation flux to a substrate surface without anion flux in the vacuum of the MBE growth chamber has been used for substrate-temperature calibration purposes15 or as an in situ oxide removal technique to remove the native Ga2O3 from GaAs (or GaN) substrates by delivering a Ga flux (“Ga polishing”).16,17 In the oxide-removal process, the provided element reacts with the oxide into a volatile suboxide, e.g.,
(1)
or
(2)
which desorbs at elevated substrate temperatures.7,18–21 The in situ oxide removal is beneficial not only for preparing a clean substrate surface prior to growth but can speed up the MBE growth routine by regaining a fresh substrate surface after in situ growth calibration or unsuccessful oxide layer growth, thus eliminating the need for unloading/loading of substrates and associated temperature ramps for each growth attempt. A very recent demonstration of this approach is the rapid screening of growth conditions for the MBE of (In,Ga)2O3 thin films.22 Finally, the oxide removal by a Ga-flux has been utilized as damage-free etching to structures highly scaled vertical and lateral 3D Ga2O3-based devices in both MBE23 and MOCVD systems.24 

Despite these beneficial applications, the elemental fluxes are prone to leave unwanted elemental adsorbates, layers, or droplets on the surface. The removal of these elemental layers requires heating to the desorption temperature of the element, high-energy sputtering, or ex situ wet-chemical etching—all of which may create unacceptable degradation of the surface.

This work demonstrates a universal in situ approach to remove the respective elemental layer from a substrate surface by exposure to molecular O2. The technique consists of heating the elemental layer to the desorption temperature of its volatile suboxide (typically well below that of the cation element), exposing it to O2 to induce suboxide formation, e.g.,
(3)
or
(4)
followed by suboxide desorption25–27 as schematically shown in Fig. 1. We investigated the in situ etching of Ga and Ge cation layers by an O2-flux experimentally on 2-in. Al2O3(0001) substrates in an MBE system and studied the etching efficiency (suboxide-flux/O2-flux). Our results indicate successful etching of Ga and Ge where ≈3.5% and ≈1.8% of the provided O2 contributed to their removal. Finally, we demonstrate the application scenario of Ga-droplet removal from a SiO2 mask after in situ structuring of a Ga2O3 layer by Ga-etching.
FIG. 1.

Schematic describing the in situ etching of the cation layer at elevated substrate temperatures by an O2-flux, including the physisorption, dissociation, and chemisorption of O2, followed by the desorption of the formed volatile suboxide.

FIG. 1.

Schematic describing the in situ etching of the cation layer at elevated substrate temperatures by an O2-flux, including the physisorption, dissociation, and chemisorption of O2, followed by the desorption of the formed volatile suboxide.

Close modal

For this study, Ge and Ga cation layers were grown in high vacuum (background pressure 10−8 mbar) on 2-in. c-plane sapphire [Al2O3(0001)] wafers at a temperature of 400 °C by MBE. The rough backside of the single-side polished substrate was sputter-coated with titanium to allow for noncontact substrate heating by radiation from the substrate heater. The substrate temperature (Tsub) was measured with a thermocouple placed behind the substrate heater. Standard shuttered effusion cells were used to evaporate Ge (7 N purity) and Ga (7 N purity) from pyrolytic BN crucibles. The beam equivalent pressure (BEP) of the cations and O2, proportional to the particle flux, were measured by a nude filament ion gauge positioned at the substrate location. A schematically drawn MBE growth chamber used in this study can be seen in Fig. 2. Table I illustrates the geometries of all the used MBE components. The BEPs are given in units of mbar and are converted into the equivalent particle flux (atoms cm−2 s−1) by multiplying the measured growth rate of the GeO2 and Ga2O3 layer under conditions of full Ge and Ga incorporation by the cation number density of rutile phase GeO2 (2.4 × 1022 cm−3)7 and monoclinic phase Ga2O3 (3.6 × 1022 cm−3)28 and by kinetic gas theory in the case of O2. For layer deposition, the used Ge and Ga -cell temperatures of 1300 °C (Note that this high temperature leads to a relatively fast degradation of the used standard effusion cell.) and 900 °C resulted in Ge and Ga-fluxes (Φ) of ΦGe = 2.2 × 1014 cm−2 s−1 and ΦGa = 2.2 × 1014 cm−2 s−1 impinging on the substrate, respectively.

FIG. 2.

Schematic of the MBE growth chamber used in this study.

FIG. 2.

Schematic of the MBE growth chamber used in this study.

Close modal
TABLE I.

Geometry of the MBE system. We used polar coordinate systems to define geometries. Set substrate as pole, the angular coordinates for each component are denoted as Θ and Ψ, respectively.

Polar coordinate of normalsDistance to substrate
MBE setupΘ (o)Ψ (o)L (cm)
Substrate 180 
QMS 21 116 15 
Ge cell 21 64 15 
Ga cell 40 132 15 
O2 source 33 180 15 
Polar coordinate of normalsDistance to substrate
MBE setupΘ (o)Ψ (o)L (cm)
Substrate 180 
QMS 21 116 15 
Ge cell 21 64 15 
Ga cell 40 132 15 
O2 source 33 180 15 

Next, we provided molecular O2 to etch the deposited Ga and Ge layers at elevated substrate temperatures (650 °C for Ga and 700 °C for Ge) that allow suboxides to desorb. For this purpose, a mass flow controller supplied molecular O2 from the research-grade O2 gas (6 N purity) and the O2 flow was set as standard cubic centimeters per minute (SCCM). The flux Φ of desorbing species from the layer surface was measured in situ by line-of-sight quadrupole mass spectrometry (QMS, Hiden Analytical “HAL 511 3F”). The QMS ionizer was run at an electron energy of 50 eV to obtain optimal sensitivity. Therefore, some of the measured signals might be affected by fragmentation of suboxide molecules into cation and oxygen atoms.29 To assess the surface coverage, the process was additionally in situ monitored by reflection high-energy electron diffraction (RHEED). The electron gun supplies electrons with kinetic energy of Ekin = 20 keV impinging on the growth surface at grazing incidence <2o. Scattered electrons are hitting a phosphor screen positioned in the diffracted beam path and the resulting image is recorded by a CCD camera.

As an application example, we demonstrate the in situ removal of Ga droplets from a SiO2 mask directly after in situ patterning of Ga2O3 by Ga-etching. For this purpose, an MBE-grown, ≈500 nm-thick Ga2O3 layer was covered by a ≈75 nm-thick SiO2 hard mask (deposited using sputtering and structured by contact lithography and CHF3-based reactive ion etching) and subsequently loaded into the MBE growth chamber. Ga-etching was performed by exposure to a Ga flux of ΦGa = 6.6 × 1014 cm−2 s−1 at Tsub = 650°C in the absence of O2 for a total etching time of 40 min, resulting in an etch depth of ≈140 nm (determined by profilometry measurement). Subsequently, we in situ removed the Ga droplets that remained on the SiO2 mask by exposure to 1 SCCM O2 for 90 min at the same Tsub. The untouched structured-Ga2O3 sample, the structured-Ga2O3 sample after Ga-etching, as well as a Ga-etched Ga2O3 sample after molecular O2 exposure were observed by top-view scanning electron microscopy (SEM).

Figure 3 presents the QMS signal of Ga and Ga2O (proportional to the desorbing flux of ΦGa and Φ Ga 2 O and the corresponding RHEED images at different stages during the elemental layer deposition and its subsequent etching by O2. When the Ga shutter was opened, the elemental desorption slightly increased and then rapidly faded, corresponding to an almost full adsorption of the provided flux. After closing the Ga shutter, Tsub was immediately increased to 650 °C at 0.5 °C/s to facilitate Ga2O desorption in the following etching process. The elevated Tsub did not result in detectable desorption of the already grown cation layer (the QMS signal before supplying O2 is negligible), while the disappeared streaky RHEED pattern (middle) clearly indicates a substrate coverage by this layer. A dramatic Φ Ga 2 O signal increase can be observed when an O2 flow (1 SCCM) started impinging on the surface. This observation confirms that O2 reacted with Ga to form Ga2O via Eq. (3) at a temperature that allows suboxides to desorb. Φ Ga 2 O fades gradually from the maximum value, likely due to the gradual decrease of surface fraction covered by the elemental layer. The Ga signal during etching is related to the fragmentation of Ga2O molecules by the electrons of the ionizer in the quadrupole mass spectrometer.29 The complete removal of the Ga layer is evidenced by the disappearance of the Φ Ga 2 O signal and by the reappearance of the streaky RHEED pattern of the substrate.

FIG. 3.

Ga deposition and its O2-assisted removal. The QMS measurement of the desorbing flux of 69.1Ga and 156.1Ga2O is shown. Three stages are depicted: the deposition of the Ga layer on the c-plane sapphire substrate, the increase of the substrate temperature (Tsub) to enable suboxide desorption, and the subsequent in situ etching of the already grown Ga layer. The corresponding Ga shutter opening and closing, Tsub as well as period of O2 supply are marked. The inset shows the mass spectrum of Ga2O detected by QMS, containing the triplet of most abundant isotope configurations 69.1Ga216O, 69.1Ga71Ga16O, and 71Ga216O at 154.2, 156.1, and 158 amu, respectively. The arrows point at images of the RHEED pattern of sapphire (0001) during different stages of the experiments.

FIG. 3.

Ga deposition and its O2-assisted removal. The QMS measurement of the desorbing flux of 69.1Ga and 156.1Ga2O is shown. Three stages are depicted: the deposition of the Ga layer on the c-plane sapphire substrate, the increase of the substrate temperature (Tsub) to enable suboxide desorption, and the subsequent in situ etching of the already grown Ga layer. The corresponding Ga shutter opening and closing, Tsub as well as period of O2 supply are marked. The inset shows the mass spectrum of Ga2O detected by QMS, containing the triplet of most abundant isotope configurations 69.1Ga216O, 69.1Ga71Ga16O, and 71Ga216O at 154.2, 156.1, and 158 amu, respectively. The arrows point at images of the RHEED pattern of sapphire (0001) during different stages of the experiments.

Close modal

To determine the efficiency of the etching process, we established a quantitative relation of impinging O2-flux and desorbing Ga2O flux at varying flow rates of O2. Figure 4(a) illustrates the QMS signal of Φ Ga 2 O during the deposition of 6 equal layers of metallic Ga and their in situ etching by O2 at a decreasing flow, which were 2.00, 1.50, 1.00, 0.80, 0.50, 0.25 SCCM, respectively. These experiments were carried out in sequence using Ga deposition and etching temperatures of 400 and 650 °C, respectively. Similar to Fig. 3, a sharp increase of Φ Ga 2 O was detected when O2 was supplied, and different O2-fluxes were able to fully convert the Ga layers into evaporated Ga2O, leaving behind a clean surface. Apparently, the maximum Φ Ga 2 O decreases with reduced impinging O2-flux and the required time to completely remove the same amount of Ga increases simultaneously.

FIG. 4.

Ga-deposition/O2-assisted etching cycles using six different decreasing O2-fluxes. (a) Detected Ga2O flux by QMS as a function of time tmeas during metallic Ga layer deposition and its O2-assisted etching. (b) Calibrated desorbing Ga2O flux at the substrate during etching as a function of provided O2-flux in (a).

FIG. 4.

Ga-deposition/O2-assisted etching cycles using six different decreasing O2-fluxes. (a) Detected Ga2O flux by QMS as a function of time tmeas during metallic Ga layer deposition and its O2-assisted etching. (b) Calibrated desorbing Ga2O flux at the substrate during etching as a function of provided O2-flux in (a).

Close modal
Next, we quantified and related Φ Ga 2 O measured by QMS and the impinging O2-flux, as presented in Fig. 4(b). All Ga layers were deposited with a fixed Ga flux of 2.2 × 1014 cm−2 s−1 over a period of 780 s, resulting in a total surface Ga-atom coverage of DGa= 1.7 × 1017 cm−2. By numerically integrating the QMS signal Q(t) for Ga2O from the time when O2 was supplied (t = t0) to the time when the whole layer was removed (t = trem), an equivalence relationship of
(5)
was obtained and allowed us to determine the calibration factor α that converts the QMS-signal Q (counts/s) into the desorbing molecular flux Φ Ga 2 O (Ga2O cm−2 s−1). To determine the fraction of the provided O2 species that can contribute to the removal of Ga, the resulting O2-flux ΦO2 used at the different O2 flow rates is calculated based on kinetic gas theory30 from the corresponding measured O2-BEP (PO2) according to
(6)
with the Avogadro constant NA, the molar mass M of O2, and O2 temperature T (298 K). Figure 5 shows the measured PO2 as a function of O2 flow, indicating a net pumping speed of ≈1700l /s for our growth chamber equipped with liquid nitrogen cryo panel and a cryopump. Figure 4(b) shows the peak Φ Ga 2 O = αQ(t) max observed at the beginning of each etching-cycle as a function of the corresponding ΦO2. Based on Eq. (3), an average etching efficiency (η) of η Ga = Φ Ga 2 O 2 Φ O 2 × 100 % = 3.5 % was obtained.

The QMS signal of the desorbing ΦGe and ΦGeO, as well as the surface development monitored by RHEED during Ge layer deposition and O2-etching experiment, shown in Fig. 6, exhibit qualitatively similar behavior to that observed for Ga. To enhance GeO desorption in the etching process, O2 was supplied at Tsub = 700 °C. A significant ΦGeO signal increase can be observed when the O2 (1 SCCM) approached the surface, confirming that O2 reacted with Ge to form GeO via Eq. (4). The disappearance of ΦGeO and reappearance of the streaky RHEED pattern of the substrate proved a complete removal of the Ge layer. Similarly, we determined η for Ge etching using the same methodology employed in our Ga experiment. A surface coverage of DGe= 7.85 × 1017 cm−2, a desorbing flux of ΦGeO = 1.58 × 1014 cm−2 s−1 was obtained based on the using experiment parameters, while 1 SCCM of O2 corresponding to a PO2= 1.55 × 10−5 mbar, which can be translated into O2-flux of ΦO2= 4.2 × 1015 cm−2 s−1 by Eq. (6). Consequently, a η Ge = Φ GeO 2 Φ O 2 × 100 % = 1.8 % representing removal efficiency of O2 was obtained according to Eq. (4).

FIG. 5.

The beam equivalent pressure (BEP) of the O2 at the substrate position in the MBE chamber as a function of employed O2 flow.

FIG. 5.

The beam equivalent pressure (BEP) of the O2 at the substrate position in the MBE chamber as a function of employed O2 flow.

Close modal
FIG. 6.

Ge deposition and its O2-assisted removal. The QMS measurement of the desorbing flux of 74Ge and 90GeO is shown. Three stages are depicted: the deposition of the Ge layer on the c-plane sapphire substrate, the increase of Tsub to enable suboxide desorption, and the subsequent in situ etching of the already grown Ge layer. The corresponding Ge shutter opening and closing, Tsub as well as period of O2 supply are marked. The inset shows the mass spectrum of Ge and GeO detected by QMS. The arrows point at RHEED images of the sapphire (0001) substrate during different stages of the experiments.

FIG. 6.

Ge deposition and its O2-assisted removal. The QMS measurement of the desorbing flux of 74Ge and 90GeO is shown. Three stages are depicted: the deposition of the Ge layer on the c-plane sapphire substrate, the increase of Tsub to enable suboxide desorption, and the subsequent in situ etching of the already grown Ge layer. The corresponding Ge shutter opening and closing, Tsub as well as period of O2 supply are marked. The inset shows the mass spectrum of Ge and GeO detected by QMS. The arrows point at RHEED images of the sapphire (0001) substrate during different stages of the experiments.

Close modal

To better illustrate the application scope of our studies, we conducted experimental tests on the device structuring process by in situ Ga-etching a SiO2-masked Ga2O3 layer. Figure 7 showcases the top-view SEM images of the masked and structured Ga2O3 samples. By comparing Fig. 7(a) with Fig. 7(b), as anticipated, we observed Ga droplets remaining on the SiO2 mask after structuring Ga2O3 by exposing it to the Ga flux. However, these droplets can be completely removed in situ by providing O2 following the oxide etching process, as evidenced by a clean mask surface depicted in Fig. 7(c).

FIG. 7.

SEM top-view images of (a) the SiO2 mask on Ga2O3 thin films. (b) The Ga2O3 thin film etched by a Ga flux with residual Ga droplets on top of the SiO2 mask, and (c) after O2-assisted in situ removal of the Ga droplets from the SiO2 mask.

FIG. 7.

SEM top-view images of (a) the SiO2 mask on Ga2O3 thin films. (b) The Ga2O3 thin film etched by a Ga flux with residual Ga droplets on top of the SiO2 mask, and (c) after O2-assisted in situ removal of the Ga droplets from the SiO2 mask.

Close modal

In conclusion, we have demonstrated a process in which molecular O2 is utilized to remove elemental Ga and Ge layers in an MBE growth chamber through formation and desorption of their volatile suboxides at temperatures lower than those required for elemental desorption. Under the investigated (nonoptimized) conditions about 1.8%–3.5% of the provided O2 contributed to cation removal.

We further showcased the application of this O2-assisted cation removal process for the in situ removal of the residual Ga droplets from the SiO2 mask directly after structuring a Ga2O3 layer by in situ etching using a Ga atomic flux.

We predict the O2-assisted cation removal process to be generally applicable in situ within an oxide MBE or MOCVD system to remove residual elemental layers (that may occur after exposure to the cation fluxes, e.g., during in situ oxide etching or substrate-temperature calibration) if their volatile suboxides or oxides exhibits a higher vapor pressure than the respective elements, such as B, In, La, Si, Sn, Sb, Mo, Nb, Ru, Ta, V, and W.9,31

The fraction of O2 contributing to cation removal may be increased by using different substrate temperatures from those employed in our experiments to affect activation of suboxide formation or parasitic O2 desorption from the substrate. An increase of the total cation layer removal rate, however, necessitates at some point higher O2-fluxes feeding the suboxide formation and higher substrate temperatures to ensure correspondingly faster suboxide desorption rates. These efficiency and speed aspects provide room for future optimization of the O2-assisted cation removal process, particularly by studying its substrate-temperature dependence.

The authors thank Hans-Peter Schönherr, Claudia Hermann, Sander Rauwerdink, and Walid Anders for technical support, Steffen Breuer for discussion, as well as Jingxuan Kang for critically reading the manuscript. This work was performed in the framework of GraFOx, a Leibniz-ScienceCampus partially funded by the Leibniz association. W.C. gratefully acknowledges financial support from the Leibniz association under Grant No. K417/2021.

The authors have no conflicts to disclose.

Wenshan Chen: Formal analysis (equal); Investigation (equal); Visualization (equal); Writing – original draft (equal); Writing – review & editing (equal). Kingsley Egbo: Formal analysis (supporting); Investigation (supporting); Writing – review & editing (supporting). Huaide Zhang: Investigation (supporting); Writing – review & editing (supporting). Andrea Ardenghi: Investigation (supporting); Writing – review & editing (supporting). Oliver Bierwagen: Conceptualization (equal); Funding acquisition (equal); Project administration (equal); Supervision (equal); Writing – review & editing (equal).

The data that support the findings of this study are available from the corresponding author upon reasonable request.

1.
A. J.
Green
et al,
APL Mater.
10
,
029201
(
2022
).
2.
S.
Das
and
V.
Jayaraman
,
Prog. Mater. Sci.
66
,
112
(
2014
).
4.
M. H.
Wong
,
O.
Bierwagen
,
R. J.
Kaplar
, and
H.
Umezawa
,
J. Mater. Res.
36
,
4601
(
2021
).
5.
S.
Chae
,
J.
Lee
,
K. A.
Mengle
,
J. T.
Heron
, and
E.
Kioupakis
,
Appl. Phys. Lett.
114
,
102104
(
2019
).
6.
P.
Vogt
and
O.
Bierwagen
,
Phys. Rev. Mater.
2
,
120401
(
2018
).
7.
W.
Chen
,
K.
Egbo
,
H.
Tornatzky
,
M.
Ramsteiner
,
M. R.
Wagner
, and
O.
Bierwagen
,
APL Mater.
11
,
071110
(
2023
).
8.
N. K.
Kalarickal
,
Z.
Xia
,
J.
McGlone
,
S.
Krishnamoorthy
,
W.
Moore
,
M.
Brenner
,
A. R.
Arehart
,
S. A.
Ringel
, and
S.
Rajan
,
Appl. Phys. Lett.
115
,
152106
(
2019
).
9.
G.
Hoffmann
,
Z.
Cheng
,
O.
Brandt
, and
O.
Bierwagen
,
APL Mater.
9
,
111110
(
2021
).
10.
A.
Ardenghi
,
O.
Bierwagen
,
A.
Falkenstein
,
G.
Hoffmann
,
J.
Lähnemann
,
M.
Martin
, and
P.
Mazzolini
,
Appl. Phys. Lett.
121
,
042109
(
2022
).
11.
O.
Bierwagen
,
M. E.
White
,
M. Y.
Tsai
, and
J. S.
Speck
,
Appl. Phys. Lett.
95
,
262105
(
2009
).
12.
H.
Okumura
,
M.
Kita
,
K.
Sasaki
,
A.
Kuramata
,
M.
Higashiwaki
, and
J. S.
Speck
,
Appl. Phys. Express
7
,
095501
(
2014
).
13.
G.
Hoffmann
,
M.
Budde
,
P.
Mazzolini
, and
O.
Bierwagen
,
APL Mater.
8
,
031110
(
2020
).
14.
N.
Taga
,
M.
Maekawa
,
Y.
Shigesato
,
I.
Yasui
,
M.
Kamei
, and
T. E.
Haynes
,
Jpn. J. Appl. Phys.
37
,
6524
(
1998
).
15.
R.
Held
,
D. E.
Crawford
,
A. M.
Johnston
,
A. M.
Dabiran
, and
P. I.
Cohen
,
Surf. Rev. Lett.
05
,
913
(
1998
).
16.
S.
Wright
and
H.
Kroemer
,
Appl. Phys. Lett.
36
,
210
(
1980
).
17.
Z. R.
Wasilewski
,
J. M.
Baribeau
,
M.
Beaulieu
,
X.
Wu
, and
G. I.
Sproule
,
J. Vac. Sci. Technol. B
22
,
1534
(
2004
).
18.
P.
Vogt
and
O.
Bierwagen
,
Appl. Phys. Lett.
106
,
081910
(
2015
).
19.
M.
Zinkevich
and
F.
Aldinger
,
J. Am. Ceram. Soc.
87
,
683
(
2004
).
20.
C. J.
Frosch
and
C. D.
Thurmond
,
J. Phys. Chem.
66
,
877
(
1962
).
21.
W. L.
Jolly
and
W. M.
Latimer
,
J. Am. Chem. Soc.
74
,
5757
(
1952
).
22.
S.
Schaefer
,
D.
Febba
,
K.
Egbo
,
G.
Teeter
,
A.
Zakutayev
, and
B.
Tellekamp
,
J. Mater. Chem. A
12
,
5508
(
2024
).
23.
N. K.
Kalarickal
et al,
Appl. Phys. Lett.
119
,
123503
(
2021
).
24.
A.
Katta
,
F.
Alema
,
W.
Brand
,
A.
Gilankar
,
A.
Osinsky
, and
N. K.
Kalarickal
,
J. Appl. Phys.
135
,
075705
(
2024
).
25.
K. R.
Lawless
,
Rep. Prog. Phys.
37
,
231
(
1974
).
26.
I.
Panas
,
P.
Siegbahn
, and
U.
Wahlgren
,
J. Chem. Phys.
90
,
6791
(
1989
).
27.
D.
Schmeisser
and
K.
Jacobi
,
Surf. Sci.
108
,
421
(
1981
).
28.
P.
Mazzolini
,
A.
Falkenstein
,
C.
Wouters
,
R.
Schewski
,
T.
Markurt
,
Z.
Galazka
,
M.
Martin
,
M.
Albrecht
, and
O.
Bierwagen
,
APL Mater.
8
,
011107
(
2020
).
29.
R. P.
Burns
,
J. Chem. Phys.
44
,
3307
(
1966
).
30.
M.
Henini
,
Molecular Beam Epitaxy: From Research to Mass Production
(
Newnes
, Oxford, UK,
2012
).
31.
K. M.
Adkison
,
S.-L.
Shang
,
B. J.
Bocklund
,
D.
Klimm
,
D. G.
Schlom
, and
Z.-K.
Liu
,
APL Mater.
8
,
081110
(
2020
).