Takuto Wakasugi1, Yasushi Hirose1, Shoichiro Nakao1, Yuki Sugisawa2,3, Daiichiro Sekiba2,3, Tetsuya Hasegawa1. 1. Department of Chemistry, School of Science, The University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo 113-0033, Japan. 2. Graduate School of Pure and Applied Sciences, University of Tsukuba, 1-1-1 Tennodai, Tsukuba, Ibaraki 305-8573, Japan. 3. Tandem Accelerator Complex, University of Tsukuba, 1-1-1 Tennoudai, Tsukuba, Ibaraki 305-8577, Japan.
Abstract
Perovskite oxynitrides have been studied with regard to their visible light-driven photocatalytic activity and novel electronic functionalities. The assessment of the intrinsic physical and/or electrochemical properties of oxynitrides requires the epitaxial growth of single-crystalline films. However, the heteroepitaxy of perovskite oxynitrides has not yet matured compared to the progress realized in work with perovskite oxides. Herein, we report the heteroepitaxial growth of CaTaO2N thin films with (100)pc, (110)pc, and (111)pc crystallographic surface orientations (where the subscript pc denotes a pseudocubic cell) on SrTiO3 substrates using reactive radio frequency magnetron sputtering, along with investigations of crystallinity and surface morphology. Irrespective of surface orientation, stoichiometric CaTaO2N epitaxial thin films were grown coherently on SrTiO3 substrates and showed clear step and terrace surfaces in the case of low values of film thickness of approximately 20 nm. A (110)pc-oriented film was also more highly crystalline than (100)pc- and (111)pc-oriented specimens. This relationship between crystallinity and surface orientation is ascribed to the number of inequivalent in-plane rotational domains, which stems from the symmetry mismatch between the orthorhombic CaTaO2N and cubic SrTiO3. A CaTaO2N thin film grown on a lattice- and symmetry-matched orthorhombic DyScO3 substrate exhibited a significant crystallinity and a clear step and terrace surface even though the film was thick (∼190 nm). These results are expected to assist in developing the heteroepitaxial growth of high-quality perovskite oxynitride thin films.
Perovskite oxynitrides have been studied with regard to their visible light-driven photocatalytic activity and novel electronic functionalities. The assessment of the intrinsic physical and/or electrochemical properties of oxynitrides requires the epitaxial growth of single-crystalline films. However, the heteroepitaxy of perovskite oxynitrides has not yet matured compared to the progress realized in work with perovskite oxides. Herein, we report the heteroepitaxial growth of CaTaO2N thin films with (100)pc, (110)pc, and (111)pc crystallographic surface orientations (where the subscript pc denotes a pseudocubic cell) on SrTiO3 substrates using reactive radio frequency magnetron sputtering, along with investigations of crystallinity and surface morphology. Irrespective of surface orientation, stoichiometric CaTaO2N epitaxial thin films were grown coherently on SrTiO3 substrates and showed clear step and terrace surfaces in the case of low values of film thickness of approximately 20 nm. A (110)pc-oriented film was also more highly crystalline than (100)pc- and (111)pc-oriented specimens. This relationship between crystallinity and surface orientation is ascribed to the number of inequivalent in-plane rotational domains, which stems from the symmetry mismatch between the orthorhombic CaTaO2N and cubic SrTiO3. A CaTaO2N thin film grown on a lattice- and symmetry-matched orthorhombic DyScO3 substrate exhibited a significant crystallinity and a clear step and terrace surface even though the film was thick (∼190 nm). These results are expected to assist in developing the heteroepitaxial growth of high-quality perovskite oxynitride thin films.
During the last decade,
perovskite oxynitrides were studied with
regard to their novel optical, electrical, and electrochemical characteristics,
including visible light absorption,[1−3] promotion of photocatalytic
solarwater splitting,[2−4] colossal magnetoresistance,[5] high dielectric constants,[6] and ferroelectric
properties.[7−9] These compounds are typically synthesized via the
partial nitridation of oxide precursors under a high-temperature ammonia
flow (i.e., by thermal ammonolysis). As a consequence, the resulting
oxynitridesare often obtained as low-density fine powders, which
prevent detailed characterization of their functional properties.
As an example, it is difficult to evaluate the intrinsic electrical
properties of these materials, such as carrier mobility, dielectric
constant, and photocarrier diffusion length, because of the presence
of grain boundaries. In addition, although surface crystallographic
orientation is known to be an important factor affecting the activity
of photocatalysts/photoelectrodes,[10−14] there is very little control over surface orientation
in powder samples of oxynitrides.The heteroepitaxial growth
of oxynitride thin films on lattice-matched
single-crystalline substrates is a promising synthetic strategy for
overcoming the problems noted above associated with conventional thermal
ammonolysis. This is because the single-crystalline epitaxial oxynitride
films produced in this manner have fewer grain boundaries and well-controlled
crystallographic surface orientations. Indeed, the intrinsic electrical
transport and dielectric properties of various oxynitrides, including
perovskites such as ATaO2N (A = Ca, Sr, or Ba),[7,15−17] SrNbO3–N,[18] LaTiO2N,[19] LaVO3–N,[20] TaON,[21] and NbON,[22] have been assessed using epitaxial thin films.
It has also been reported that the photocurrents generated during
water oxidation using photoanodes made of LaTiO3–N epitaxial thin films
are affected by the surface orientations of the films,[23] demonstrating that the control of this orientation
is of practical importance when considering oxynitrides for photocatalytic
applications.Despite its benefits, heteroepitaxial growth has
been applied to
perovskite oxynitrides very rarely as compared to the use of this
technique with perovskite oxides. This difference is primarily due
to the difficulty in controlling the N content of oxynitrides. As
an example, it has been reported that the N concentrations of LaTiO3–N thin
films with different surface orientations were not the same.[23] However, recent advances in thin-film growth
technology, such as the development of nitrogen plasma-assisted pulsed
laser deposition or reactive sputtering, have enabled the control
of N content through the precise adjustment of the N supply during
film growth.[17,24] Another technical issue associated
with the heteroepitaxial growth of perovskite oxynitrides is the large
lattice mismatch of these materials with commercially available single-crystalline
oxide substrates. Specifically, perovskite oxynitrides generally have
larger lattice constants (typically apc > ∼3.95 Å, where the subscript pc denotes a pseudocubic
cell) compared to oxides (Supporting Information Figure S1) as a result of the larger ionic radius of N3– relative to that of O2– as well as a larger negative
charge of N3–, which tends to require larger cations
with high valences. In addition, there have been very few reports
of the formation of atomically flat epitaxial thin films of perovskiteoxynitrides with clear step and terrace structures,[16,17] which are desirable when studying surface/interface chemistry or
fabricating heterostructures.The present work focused on the
heteroepitaxial growth of perovskiteCaTaO2N thin films with various surface orientations. This
compound was selected because it has an orthorhombic structure belonging
to the Pbnm space group, which is the most commonly
encountered structure in perovskite oxynitrides (Supporting Information Figure S1). In addition, the lattice
constants of CaTaO2N (ao =
5.547 Å, bo = 5.624 Å, co = 7.895 Å, where the subscript o denotes
an orthorhombic cell, apc = 3.949 Å)[25] are relatively well matched to those of commercially
available oxide single crystals (Supporting Information Figure S1). In fact, the epitaxial growth of a (100)pc-oriented CaTaO2N thin film with good crystallinity and
an atomically flat surface has been realized on SrTiO3 (cubic, a = 0.3905 nm, lattice mismatch = −1.1% with a pseudocubic
approximation).[17] Last, CaTaO2N is a promising visible-light-active photocatalyst capable of promoting
overall water splitting.[26]In this
study, stoichiometric CaTaO2N epitaxial thin
films were fabricated on the (100), (110), and (111) planes of SrTiO3 by radio frequency (RF) reactive magnetron sputtering. While
20 nm thick CaTaO2N thin films exhibited high crystallinity
and atomically flat surfaces irrespective of the surface orientation,
the crystallinity and surface morphology were both degraded as the
film thickness was increased to 190 nm. This degradation was more
significant in (100)pc- and (111)pc-oriented
thin films than in (110)pc-oriented specimens because of
the formation of multiple domains arising from a symmetry mismatch
between the orthorhombic CaTaO2N thin films and the cubic
SrTiO3 substrates. Based on these results, we successfully
synthesized a thick (100)pc-oriented CaTaO2N
thin film with a high degree of crystallinity as well as a clear step
and terrace surface on a symmetry- and lattice-matched orthorhombic
DyScO3 substrate.
Results and Discussion
In initial
trials, the N partial pressure, PN was optimized so as to obtain stoichiometric
CaTaO2N thin films, and Figure a shows the θ–2θ X-ray
diffraction (XRD) patterns obtained from a series of CaTaON thin films grown on
SrTiO3(100) substrates under various PN. Each of these patterns confirms the epitaxial
growth of (100)pc-oriented perovskite in a cube-on-cube
manner, while the N/Ta ratios vary from 0 to 1 depending on PN that was applied (Figure b). The perovskite structure
was evidently maintained even in the case of the film containing no
N (PN = 0), possibly because
of the formation of cation vacancies.[28] Notably, the N/Ta ratio increased with increases in PN and plateaued at approximately 1 (i.e.,
at an almost stoichiometric value) at PN ≥ 0.075 Pa. This result suggests that the N
concentration was self-limited by crystallization into the perovskite
structure.
Figure 1
(a) θ–2θ XRD patterns of CaTaON thin films grown on SrTiO3(100) substrates under various PN (asterisks denote diffraction peaks from the substrate).
(b) N/Ta ratios, (c) fwhms of the 200 diffraction rocking curves,
(d) unit cell volumes based on a pseudocubic approximation, and (e)
rms roughness, rrms, values of films plotted
against PN.
(a) θ–2θ XRD patterns of CaTaON thin films grown on SrTiO3(100) substrates under various PN (asterisks denote diffraction peaks from the substrate).
(b) N/Ta ratios, (c) fwhms of the 200 diffraction rocking curves,
(d) unit cell volumes based on a pseudocubic approximation, and (e)
rms roughness, rrms, values of films plotted
against PN.The cell volume per formula unit, Vpc, of the CaTaON thin films increased with increases in PN to a maximum of 0.0610 nm3 at PN = 0.075 Pa (Figure c). This Vpc value
is slightly smaller than that of bulk CaTaO2N (0.0616 nm3)[25] but is in good agreement with
the value for biaxially strained CaTaO2N as calculated
assuming a Poisson’s ratio of 0.30 (a typical value for oxynitrides[29]). Further increases in PN caused reductions in Vpc, suggesting the formation of defects. The crystallinity and surface
morphology of each CaTaON thin film were evaluated based on the XRD rocking
curve and atomic force microscopy (AFM) measurements, respectively. Figure d,e plots the relationships
between PN and the full width
at half-maximum (fwhm) of the rocking curve for the 200pc diffraction (Δω002) and the root-mean-square
(rms) roughness of the CaTaON thin film, respectively. Both values decreased (i.e.,
crystallinity and surface roughness were improved) as PN was increased from 0 to 0.075 Pa, and reached
a minimum at PN = 0.075 Pa.
We speculate that the degradation of crystallinity and volume reduction
at PN higher than 0.075 Pa
originate from slight off-stoichiometry such as excess nitrogen, which
could not be detected by the compositional analysis. The minimum value
of Δω002 (0.013°) was smaller than that
reported for a CaTaO2N thin film grown by nitrogen plasma-assisted
pulsed laser deposition (Δω002 = 0.02°).[17] On the basis of these results, we concluded
that a PN value of 0.075 Pa
is optimal when fabricating stoichiometric CaTaO2N thin
films with high crystallinity and smooth surfaces. We hereafter refer
to the films grown under this optimized pressure simply as CaTaO2N.Figure a presents
the θ–2θ XRD patterns of 20 nm thick CaTaO2N thin films grown on the (100), (110), and (111) planes of
SrTiO3 substrates, while Figure b–d shows the reciprocal space maps
(RSMs) of these films. Both the XRD patterns and RSMs confirm the
epitaxial growth of CaTaO2N thin films with the same orientations
(in a pseudocubic approximation) as the substrate surfaces. The RSMs
also indicate that the in-plane lattice constants of the CaTaO2N were locked to those of the SrTiO3 substrates
(i.e., coherent growth occurred). Furthermore, atomically flat surfaces
with step and terrace structures were observed in these CaTaO2N thin films (Figure e–g), for which the step heights were in good agreement
with the interplanar distances of CaTaO2N with the corresponding
crystallographic orientations (Figure h–j).
Figure 2
(a) θ–2θ XRD patterns of
20 nm thick CaTaO2N thin films grown on SrTiO3(100), (110), and (111)
substrates (asterisks denote diffraction peaks from the substrates).
(b–d) XRD RSMs, (e–g) AFM images, and (h–j) cross-sectional
line profiles obtained from AFM images along the white lines in (e–g)
for the films grown on SrTiO3 (b,e,h) (100), (c,f,i) (110),
and (d,g,j) (111) substrates.
(a) θ–2θ XRD patterns of
20 nm thick CaTaO2N thin films grown on SrTiO3(100), (110), and (111)
substrates (asterisks denote diffraction peaks from the substrates).
(b–d) XRD RSMs, (e–g) AFM images, and (h–j) cross-sectional
line profiles obtained from AFM images along the white lines in (e–g)
for the films grown on SrTiO3 (b,e,h) (100), (c,f,i) (110),
and (d,g,j) (111) substrates.Comparing the RSMs of the CaTaO2N films having different
crystallographic orientations (Figure b–d), the films grown on the SrTiO3(100) (the 301pc diffraction) and the (111) (the 312pc diffraction) substrates generated broader diffraction spots
along the in-plane direction than that on the SrTiO3(110)
substrate (the 221pc diffraction). Therefore, the (110)pc-oriented film was more crystalline than the films with other
orientations. This tendency became more evident in the case of the
thicker CaTaO2N thin films presented in Figure a–c. That is, the diffraction
spots of the films grown on the (100) and (111) substrates (Figure a,c and Supporting Information Figure S2a,c) were much
broader than those of 20 nm thick films (Figure b,d). In contrast, the (110)pc diffraction spot remained sharp even for the 190 nm thick film (Figure b and Supporting Information Figure S2b), although
the step and terrace surface structure disappeared (Figure d–f). Because these
films all had the same N/Ta ratios within the experimental error (Supporting Information Table S1), we attribute
this evident variation in crystallinity not to deviations from stoichiometry
but rather to reflected symmetry-matching, as discussed below.
Figure 3
(a–c)
XRD RSMs and (d–f) AFM images of 190 nm thick
CaTaO2N thin films grown on SrTiO3 (a,d) (100),
(b,e) (110), and (c,f) (111) substrates.
(a–c)
XRD RSMs and (d–f) AFM images of 190 nm thick
CaTaO2N thin films grown on SrTiO3 (a,d) (100),
(b,e) (110), and (c,f) (111) substrates.We subsequently focused on the symmetry mismatch between CaTaO2N (orthorhombic) and SrTiO3 (cubic) as a factor
that could degrade the crystallinity.[30−33] Note that when analyzing the
structure and orientation of the orthorhombic CaTaO2N cell,
we hereafter use orthorhombic notation instead of a pseudocubic approximation.
Superstructure XRD peaks (i.e., half-order Bragg peaks), which are
characteristic of an orthorhombic perovskite structure,[34,35] were observed for all the CaTaO2N films regardless of
their surface orientation. An analysis of the out-of-plane lattice
constants and the superstructure peaks (Supporting Information Note) demonstrated that each film consisted of
orthorhombic cells with a single out-of-plane orientation: (110)oCTON//(100)STO, (010)oCTON//(110)STO, and (011)oCTON//(111)STO (where the superscripts
CTON and STO denote CaTaO2N and SrTiO3, respectively).
However, the in-plane orientation of the orthorhombic cells was not
unique except in the case of the CaTaO2N film on the SrTiO3(110) substrate. The (100)pc-oriented [i.e., (110)o-oriented] CaTaO2N film on SrTiO3(100)
evidently contained fourfold rotational domains for which the azimuthal
axes differed by 90° along with the epitaxial relationship [001]oCTON//[010]STO, [001]STO (Figure a and Supporting Information Figure S5) because of fourfold symmetry of SrTiO3(100).
This fourfold rotational domain structure has been previously reported
for epitaxial thin films of orthorhombic SrRuO3 on SrTiO3(100) substrates.[30,31] Similarly, the (111)pc-oriented [i.e., (011)o-oriented] CaTaO2N thin films comprised threefold rotational domains in which the
azimuthal axes were rotated by 120° with the epitaxial relationship
[0-11]oCTON//[−211]STO (Figure c and Supporting Information Figure S7), reflecting the threefold symmetry of SrTiO3 (111). Interestingly, the (110)pc-oriented [i.e., (010)o-oriented] CaTaO2N thin film on the SrTiO3 (110) consisted only of a single domain with the epitaxial relationship
[001]oCTON//[001]STO (Figure b and Supporting Information Figure S6)
in spite of the twofold symmetry of the SrTiO3(110) substrate.
This was because the (010)o-oriented thin film of CaTaO2N (having the Pbnm space group) had a twofold
screw axis parallel to the surface normal. Based on these XRD analyses,
we concluded that the inferior crystallinity of the (100)pc- and (111)pc-oriented CaTaO2N thin films was
attributable to the presence of in-plane rotational domains. It should
be noted that translational domain boundaries, at which the octahedral
tilt connection is discontinuous (Figure d) as in the case of a stacking fault, can
exist even in a single in-plane rotational domain. We therefore propose
that the formation of translational boundaries such as these degraded
the crystallinity and surface flatness of the 190 nm thick (110)pc-oriented CaTaO2N thin film, which consisted of
a single in-plane rotational domain.
Figure 4
Schematic illustrations of the domains
of the CaTaO2N thin films. Note that the orthorhombicity
of the cells is enhanced
to show structural differences. (a–c) In-plane rotational domain(s)
of the CaTaO2N thin films grown on the (a) (100), (b) (110),
and (c) (111) planes of SrTiO3 substrates. (d) Example
of the translational domain boundary of a (100)pc-oriented
CaTaO2N thin film, in which Ta(O,N)6 octahedra
having the same color have the same octahedral tilt.
Schematic illustrations of the domains
of the CaTaO2N thin films. Note that the orthorhombicity
of the cells is enhanced
to show structural differences. (a–c) In-plane rotational domain(s)
of the CaTaO2N thin films grown on the (a) (100), (b) (110),
and (c) (111) planes of SrTiO3 substrates. (d) Example
of the translational domain boundary of a (100)pc-oriented
CaTaO2N thin film, in which Ta(O,N)6 octahedra
having the same color have the same octahedral tilt.The foregoing discussion of domain structures suggests that
not
only lattice matching but also symmetry matching between the film
and the substrate could improve the crystallinity of CaTaO2N films. This possibility was assessed by synthesizing a thicker
(100)pc-oriented CaTaO2N thin film on a symmetry-matched
DyScO3 substrate that also provided better lattice matching
(orthorhombic, ao = 5.54 Å, bo = 5.71 Å, co = 7.89 Å, lattice mismatch of ∼−0.2% with a pseudocubic
approximation). Figure a,b shows an RSM around the 301pc diffraction and an AFM
image, respectively, of a 190 nm thick (100)pc-oriented
CaTaO2N thin film grown on a DyScO3 (110)o substrate. The 301pc diffraction peak from the
CaTaO2N thin film (Figure a and Supporting Information Figure S2d) is much sharper than that produced by a 190 nm thick
film on SrTiO3(100) (Figure a) because of the single domain growth (Supporting Information Figure S8). At the same
time, a clear step and terrace surface was maintained even with the
190 nm film thickness (Figure b,c), whereas this surface was not evident on the SrTiO3(100) substrate (Figure d). At present, it is unclear which is a more significant
factor for improving the crystallinity of the CaTaO2N film,
lattice matching or symmetry matching. This question will be answered
by comparing the films grown on two kinds of substrates, which indicate
good lattice matching to CaTaO2N but have different symmetries,
although such a substrate pair is not commercially available. By using
a perovskite oxynitride thin film with a smaller lattice constant
such as NdTiO2N (Supporting Information Figure S1), contributions of lattice matching and symmetry matching
to crystallinity would be evaluated in more detail.
Figure 5
(a) RSM and (b) AFM image
of a 190 nm thick (100)pc-oriented
CaTaO2N thin film grown on a DyScO3(110)o substrate. (c) Cross-sectional line profile of the AFM image
along the white line in (b).
(a) RSM and (b) AFM image
of a 190 nm thick (100)pc-oriented
CaTaO2N thin film grown on a DyScO3(110)o substrate. (c) Cross-sectional line profile of the AFM image
along the white line in (b).
Conclusions
(100)pc-, (110)pc-, and (111)pc-oriented stoichiometric CaTaO2N thin films were heteroepitaxially
grown on SrTiO3 substrates by RF reactive magnetron sputtering.
These films showed good crystallinity and atomically flat surfaces
when fabricated with low thickness values (t = 20
nm). The crystallinity and surface flatness both deteriorated as the
thickness increased. This effect was associated with the crystallographic
orientation of the films primarily because of the formation of in-plane
rotational domains that, in turn, stemmed from a symmetry mismatch
between the orthorhombic CaTaO2N and cubic SrTiO3. The (110)pc-oriented CaTaO2N thin films consisting
of single rotational domains showed a higher degree of crystallinity
and improved surface morphology compared to the (100)pc-oriented (with fourfold rotational domains) and (111)pc-oriented (with threefold rotational domains) thin films. On the
basis of these results, we concluded that not only lattice matching
but also symmetry matching is vital during the heteroepitaxial growth
of high-quality CaTaO2N thin films. The observation that
a (100)pc-oriented CaTaO2N thin film deposited
on a lattice- and symmetry-matched orthorhombic DyScO3(110)o substrate exhibited high crystallinity and an atomically
flat surface even though the film was thick (t =
190 nm) confirms this hypothesis. This finding should also be applicable
to the heteroepitaxy of various other perovskite oxynitrides with
orthorhombic cells, which are the most common type (Supporting Information Figure S1), and will be helpful in
the investigation of the intrinsic properties of these materials.
Experimental
Section
CaTaON thin films were deposited by RF reactive magnetron sputtering
(Eiko
Co., Ltd.) using a 50 mm diameter CaTaO ceramic target (Toshima Manufacturing Co., Ltd.). In this manner,
(100)pc-, (110)pc-, and (111)pc-oriented
thin films were grown on the (100), (110), and (111) planes of SrTiO3 single-crystalline substrates. In addition, (100)pc-oriented thin films were fabricated on the (110)o planes
of DyScO3 (orthorhombic) single-crystalline substrates.
Prior to each deposition, the SrTiO3 and DyScO3 substrates were annealed in air under the following conditions to
obtain step and terrace surfaces: 2 h at 1050 °C for SrTiO3 (100), 5 h at 1000 °C for SrTiO3 (110) and
(111), and 4 h at 1000 °C for DyScO3(110)o. During the thin-film deposition process, the substrate temperature
was maintained at 630 °C and gaseous Ar and N2 were
introduced into the chamber, in which the base pressure was 1.0 ×
10–5 Pa. The total gas pressure and total gas flow
rate were set at 0.75 Pa and 20 standard cm3·min–1, respectively. The N partial pressure, PN, was varied between 0 and 0.3 Pa to adjust
the N content in the films. The input RF power and the target–substrate
distance were set at 100 W (with a power density of 5.09 W·cm–2) and 12 cm, respectively.The N to Ta ratios
(N/Ta) of the thin films were calculated from
the N amounts determined by heavy ion elastic recoil detection analysis
(ERDA) and the Ta amounts determined by Rutherford backscattering
spectrometry with a 38.4 MeV 35Cl beam generated by a 5
MV tandem accelerator (Micro Analysis Laboratory, The University of
Tokyo [MALT]).[27] The surface morphologies
of the thin films were characterized by AFM (SII-nanotechnology, SPI4000
with SPA400). The crystal structures were analyzed using XRD (Bruker
AXS D8 DISCOVER) with Cu Kα radiation, employing a scintillation
counter, a one-dimensional array detector (VANTEC1), and a two-dimensional
area detector (VANTEC500). Film thicknesses, t, were
measured with a stylus surface profiler (Veeco, Dektak 6M).
Authors: Wei Li; Ke R Yang; Xiahui Yao; Yumin He; Qi Dong; Gary W Brudvig; Victor S Batista; Dunwei Wang Journal: ACS Appl Mater Interfaces Date: 2018-05-24 Impact factor: 9.229
Authors: Ran Gao; Yongqi Dong; Han Xu; Hua Zhou; Yakun Yuan; Venkatraman Gopalan; Chen Gao; Dillon D Fong; Zuhuang Chen; Zhenlin Luo; Lane W Martin Journal: ACS Appl Mater Interfaces Date: 2016-06-02 Impact factor: 9.229