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1023 K), and Zn(NO3)2·2H2O (Wako, 99%, 1073 K), respectively. Bulk
intermetallic catalysts (RhM; M=Ga, Ge, In, Sb) were prepared by
arc melting of pure metal beads at a 1:1 atomic ratio under Ar at-
mosphere. The resulting ingots were crushed into fine powder in
the air.
nected to a glass circulation system. The catalyst was reduced
under H2 flow at 673 K for 0.5 h, evacuated at the same tempera-
ture for 0.5 h, and cooled to room temperature. Next, a spectrum
was recorded as a baseline for subsequent measurements. A 101–
103 Pa CO was introduced stepwise at room temperature. All spec-
tra were acquired at a 4 cmÀ1 resolution.
Reaction conditions
Computational Details
Isomerizations of cis-stilbene (cis-ST) and cis-b-methylstyrene (cis-
MS) were carried out in a 100 mL three-neck round bottom flask
equipped with a reflux condenser and a gas balloon. Prior to the
reaction, the catalyst (100 mg) was reduced under flowing H2
(60 mLminÀ1) for 1 h in the reactor heated to 673 K using a mantle
heater. The reactor was subsequently cooled to room temperature
and the atmosphere was completely replaced by dry Ar. A THF so-
lution (5.0 mL) of cis-ST or cis-MS (5 mmol, TCI, 99%) was added to
the reactor through a silicone septum. The reaction was initiated
at 298 K by flowing H2 at 100 mLminÀ1 for 1 min and 5 mLminÀ1
afterward. Products present in the liquid phase were quantified
using a flame ionization detection gas chromatograph (Shimadzu,
GC-14B) equipped with a capillary column (GL Sciences, TC-70,
0.25 mm60 m). The trans-alkene selectivity at 50% conversion
was determined using 50 mg of catalyst and 1 mmol of cis-alkenes.
Periodic density functional theory (DFT) calculations, except fre-
quency calculations, were performed using the CASTEP code[21]
with Vanderbilt-type ultrasoft pseudopotentials[22] and a revised
Perdew–Burke–Ernzerhof exchange-correlation functional (RPBE)[23]
based on the generalized gradient approximation (GGA). The
plane-wave basis set was truncated at a kinetic energy of 370 eV. A
Fermi smearing of 0.1 eV was utilized. The reciprocal space was
À1
sampled using a k-point mesh with a typical spacing of 0.04
generated by the Monkhorst–Pack scheme.[24]
Geometry optimizations were performed in supercell structures
using periodic boundary conditions. Surfaces were modeled using
6 atomic layer-thick metallic slabs. Surface energies were calculated
using (11) unit cells with a 10 vacuum region separating the
two surfaces under symmetry restrictions. When any adsorbate
(CO, H, and/or cis- or trans-2-butenes) was included, (21)
(RhSb(211) and RhSb(013)), (22) (RhSb(020)), or (33) (Rh(111),
RhGa(100), RhGa(110), and (RhGa(111)) unit cells with a 13
vacuum region were used without symmetry restrictions. Atomic
coordinates were fully relaxed, while the lattice constants were
fixed. Convergence criteria comprised a) a self-consistent field
cis-2-Butene was isomerized in a continuous fixed-bed flow reactor
(quartz, I.D.=6 mm). Prior to the reaction, the catalyst (10 mg) was
reduced under H2 flow (60 mLminÀ1) in the reactor at 623 K for 1 h
and allowed to cool to 373 K under He flow (60 mLminÀ1). The re-
action was initiated by flowing the 2:1:15 cis-2-butene/H2/He reac-
tion mixture (total flow rate: 90 mLminÀ1) at 373 K. Products pres-
ent in the gas phase were analyzed using a thermal conductivity
detection gas chromatograph (Shimadzu, GC-8A) equipped with
a packed column (VZ-10, 3 mm6 m).
(SCF) tolerance of 2.010À6 eV/atom, b) an energy tolerance of
1.010À5 eV/atom, c) a maximum force tolerance of 0.05 eV
,
À1
and d) a maximum displacement tolerance of 1.010À3 for struc-
ture optimization and energy calculation.
The adsorption energy was defined as Equation (2):
Characterization
Ead ¼ EAÀSÀðES þ EAÞ
ð2Þ
Crystal structures were examined by powder X-ray diffraction
(XRD) under CuKa radiation using a Rigaku RINT2400 apparatus. Dif-
ference XRD patterns were obtained by subtracting the silica sup-
port pattern from those of the supported catalysts to give a flat
baseline. Transmission electron microscopy (TEM) measurements
were conducted using a JEOL JEM-2010F instrument at an acceler-
ating voltage of 200 kV. All TEM specimens were prepared by soni-
cating the samples in tetrachloromethane and dispersing them on
a copper grid by an ultrathin carbon film supported. Nanobeam
diffraction patterns were acquired at a camera distance of 30 cm.
The camera constant was calibrated using a gold standard for re-
flection index determination. X-ray photoelectron spectra (XPS)
were recorded using an ULVAC PHI 5000 VersaProbe spectrometer.
Catalysts were pressed into a pellet and reduced under H2 flow
(60 mLminÀ1) at 873 K in a quartz reactor for 1 h. Spectra were ob-
tained under AlKa X-ray radiation using the C 1s peak (248.8 eV) to
calibrate the binding energy. Valence band XPS measurements
were performed using unsupported bulk catalysts because their
supported counterparts produced extremely low valence band in-
tensities. Bulk catalysts exhibited similar selectivities to their corre-
sponding supported catalysts. For example, bulk RhSb showed
96% trans selectivity at 50% conversion of cis-ST. The d band
center (Cd) was defined as the position of the vertical line bisecting
the d band area. Fourier-transform infrared (FT-IR) spectra of ad-
sorbed CO were obtained using a JASCO FT/IR-430 spectrometer in
For which EAÀS is the energy of the slab with the adsorbate, EA is
the total energy of the free adsorbate, and ES is the total energy of
the bare slab. The adsorption energy with a hydrogen-adsorbed
slab was calculated using the total energy of hydrogen-adsorbed
slab (ESH) instead of ES.
Surface energies of various planes, except RhSb(200), were esti-
mated using Equation (3):
1
ð3Þ
g ¼ lim
½EsÀNEB
n!1 2 A
For which EB is the energy of bulk unit cell, A is the surface area, n
is the number of layers, and N is the number of unit cells in the
slab. Surface energy calculations were conducted for densely
packed low-index RhSb(111), (102), (112), (211), (200), (202),
(020), and (013) planes. These surface energies converged within
6 or 7 atomic layers for several surfaces (Table S1). Unlike other
planes, RhSb(200) displays one surface consisting of Rh atoms
only (RhSb(200)Rh) and another one composed of Sb atoms only
(RhSb(200)Sb). This procedure gave averaged surface energies for
RhSb(200)Rh (gRh) and RhSb(200)Sb (gSb) instead of individual contri-
butions. Individual surface energies can be estimated using a non-
stoichiometric slab model in which both surfaces are terminated
by an identical plane (6). According to literature[11b,c] for example,
transmission mode. A self-supporting catalyst wafer (50 mgcmÀ2
was placed in a quartz cell equipped with CaF2 windows and con-
)
ChemCatChem 2015, 7, 3472 – 3479
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