278
J. Li et al. / Journal of Catalysis 317 (2014) 277–283
The unit cell of HSAPO-34 (a = b = c = 9.421 Å,
a = b = c = 94.2°)
2. Methods
2.1. Experimental
was derived from the Silicalite-CHA structure (all Si atoms are
symmetrically equivalent), in which all Si atoms are alternatively
replaced by P and Al atoms, and one P atom is replaced by one Si
atom to generate one Brønsted acid site per cage [42]. This corre-
sponds to a Si/Al ratio of 0.17 in HSAPO-34. In the DFT calculations,
the p(1 ꢀ 1 ꢀ 1) cell was used for C1 reactions such as methoxy
and DME formation, while the p(2 ꢀ 1 ꢀ 1) cell was used for C2
reactions, e.g., C1–C1 coupling, in order to avoid the interaction
between molecules, as shown in the Supplementary Material
(Fig. S1 in the Supplementary Material). The proton is located at
the site of O(884), which refers to the part of 8-, 8-, and 4-mem-
bered rings (MR) in the framework. The other sites of O(864) and
O(844) are also involved in the reaction of C1–C1 coupling. The cal-
culations show that the relative energy differences of protons
bonded to the four nonequivalent O sites are less than 4.0 kJ/mol.
This indicates that the proton can shift in these four sites. Never-
theless, the acidic strength based on the adsorption energies of
NH3 increases in the order H(864) (ꢁ123.5 kJ/mol) > H(884)
(ꢁ117.7 kJ/mol) > H(844) (ꢁ100.3 kJ/mol). In the simulation of all
the reactions, all atoms in the cell are allowed to relax with the lat-
tice constants fixed.
SAPO-34 with a Si/Al ratio of 0.15 was synthesized with trieth-
ylamine as a template. The as-synthesized sample was calcined in
air for 5 and 10 h to obtain non-fully-calcined SAPO-34 (NFC-
SAPO-34) and fully calcined SAPO-34 (FC-SAPO-34; acid amount:
0.7 mmol/g).
The MTO catalytic properties of these two samples in the induc-
tion period were tested in a fixed-bed pulse reactor. Typically,
100 mg of catalyst was loaded and pretreated at 550 °C for 3 h
before evaluation. The products were analyzed by a Shimadzu
gas chromatograph (GC-2014C) or a Shimadzu gas chromato-
graph–mass spectrometer (GC–MS QP 2010), both of which were
equipped with a HP-PLOT/Q column (30 m ꢀ 0.32 mm ꢀ 20
lm).
The IR spectra of the samples were measured on a Bruker TENSOR
27 FT-IR spectrometer equipped with a MCT detector. Before the
spectra were recorded, the self-supported SAPO-34 wafer (30 mg)
was treated at 500 °C and 0.1 Pa for 2 h.
The procedures for preparing methoxy groups are as follows:
the pretreated SAPO-34 first adsorbed methanol at 30 or 50 °C
until it was saturated. Then the physically adsorbed methanol
was flushed with Ar or pumped out. Finally, the temperature was
ramped to 300 °C at a rate of 5 °C/min under flushing (in pulse
experiments) or pumping (for IR spectroscopy) conditions.
3. Results and discussion
3.1. Evidence for the existence of a direct reaction mechanism
2.2. Density functional theory calculation methods
In the methanol conversion process, DME is readily produced
over the acidic zeolite catalysts [2,43,44]. This is also confirmed
by the computational result that the energy barrier for DME forma-
tion from two methanol molecules through the interaction with
acid sites is not high (95.5 kJ/mol), and the rate constant is
1.3 ꢀ 104 sꢁ1 at 400 °C (R6, Fig. S2 in the Supplementary Material).
Therefore, we initially compared the reaction behavior of methanol
and DME on a fully calcined SAPO-34 (FC-SAPO-34) catalyst
(Fig. S3 in the Supplementary Material) using a pulse reactor. The
conversion of methanol was only 0.7% in the first injection, while
it quickly increased to 44.9% at the fifth pulse (Fig. 1a). This reac-
tion pattern is intimately associated with the accumulation of
HCP species, mainly methyl-substituted benzene and naphthalene
(Figs. S4 and S5 in the Supplementary Material) in the catalyst. In
contrast, when DME was injected, the conversion readily reached
6.8% at the first pulse, but it increased only moderately to 14.5%
at the sixth pulse. One might think that this is due to the ready for-
mation of the HCP species from DME at the initial time, but a slow
increase in the amount during the reaction process. However, even
when the HCP species was first generated in the catalyst by intro-
ducing methanol, a much lower conversion was still obtained for
DME (Fig. 1a). After five successive injections of methanol, its con-
version reached only 23.0%. This suggests that (1) a direct mecha-
nism probably predominates in the conversion of DME in the initial
process irrespective of the existence of the HCP mechanism, and/or
that (2) DME is converted via another type of HCP mechanism that
is largely different from that occurring in the conversion of meth-
anol—namely, the transformation of methanol and DME needs dif-
ferent types of HCP species.
Spin-polarized DFT calculations for periodic HSAPO-34 catalysts
were carried out with the Vienna ab initio simulation package
(VASP) [34,35] using the projector-augmented wave (PAW)
method [36,37] and the generalized gradient approximation with
the Perdew–Wang exchange-correlation function (GGA-PBE) [38].
Frequency calculations were carried out to verify that the obtained
stationary points are minimum structures with real frequencies
alone or transition states with only one imaginary frequency along
the reaction coordinates. The vibrational frequencies and normal
modes were calculated by diagonalization of the mass-weighted
force constant matrix, which was obtained using the method of
finite differences of force, as implemented in VASP. The ions are
displaced in the directions of each Cartesian coordinate by 0.02 Å.
The zero-point-energy (ZPE) corrections were calculated using
statistical mechanics based on the Boltzmann distribution. The
enthalpy, entropy, and Gibbs free energy were derived from the
partition functions. Activation energy is attained with the ZPE cor-
rection. The partition functions were calculated in the temperature
range of 250–400 °C, which was selected on the basis of the exper-
imental conditions. The rate constant k obtained using transition-
state theory (TST) is defined as follows [39,40]:
D
S–0 =R
ꢁ
G–0 =RT
kBT
h
kBT
h
–
0
DH
=RT
D
eꢁ
e
k ¼
¼
e
;
where kB is Boltzmann’s constant, h is Planck’s constant, and
H–0 , and S–0 are the changes of standard molar Gibbs free energy,
D
G–0 ,
D
D
enthalpy, and entropy between the transition state (TS) and the ini-
tiation state (reactant, IS), respectively.
To clarify this point, DME and methanol were pulsed to non-
fully-calcined SAPO-34 (NFC-SAPO-34), in which a certain amount
of template residue was present (Fig. S3 in the Supplementary
Material). It was found that the conversion of methanol reached
4.9% in the first injection, as high as seven times that obtained
on the FC-SAPO-34. This indicates that the template residue indeed
can act as HCP species. However, a different result was obtained for
DME; its conversion in the first pulse was about 7.5%, which is very
close to that (6.8%) attained on the FC-SAPO-34. This shows that
All the reaction energy barriers over the SAPO-34 were calcu-
lated by the nudged elastic band (NEB) method [41] with eight
equally spaced images along the reaction pathway. The adsorption
energy were calculated with the equation Eads = E(molecule@HSAPO-34)
ꢁ [E(molecule) + E(HSAPO-34)], where E(molecule@HSAPO-34), E(molecule), and
E(HSAPO-34) are the total energies of the HSAPO-34 unit cell with
adsorbate (methanol) in the pores, free adsorbate (methanol)
molecule, and HSAPO-34 unit cell, respectively.