Evaluation Only. Created with Aspose.PDF. Copyright 2002-2021 Aspose Pty Ltd.
NATURE CHEMISTRY DOI: 10.1038/NCHEM.1527
ARTICLES
favourable surface termination at specific sulfur chemical potentials
and temperatures. As has been shown previously for methane oxi-
dation, the chemical potential sets the composition of the surface
as well as the nature of the active surface sites40,41. The lowest
energy states and compositions for all of these structures were sub-
sequently used to calculate the reaction energies and barriers for
methane activation and the subsequent coupling of hydrocarbon
fragments to form ethylene. These results suggest that under
nearly all experimental conditions, MoS2, RuS2, TiS2 and PdS are
highly sulfided and the active sites comprise S–S pairs. The sole
exception, as will be discussed below, occurs at high temperatures
and high CH4/S ratios where theory and experiment indicate that
PdS is reduced to Pd16S7.
a
b
The rate of methane conversion is controlled by the activation of
the initial CH3–H bond, whereas catalytic selectivity for ethylene is
controlled by the rate of coupling of two bound methylene (CH2–S*)
fragments to form ethylene versus the rate of further C–H bond
activation to ultimately form CS2. The calculated transition states
for CH3–H activation over S–S sites and the coupling of CH2–S*
fragments to form ethylene are shown in Fig. 3 and involve charac-
teristic hydrogen abstraction and reductive C–C formation steps,
respectively. Both reactions are strongly influenced by the M–S
bond strength, which sets the basicity and reactivity of the surface
sulfur sites. Weaker M–S bonds can readily abstract hydrogen and
bind the resulting methyl groups more strongly, thus enhancing
the activation of methane, whereas strong M–S bonds result in
weaker C–S bonds, which enhance C–C coupling and increase the
selectivity to form ethylene. The barriers for both the C–H bond
activation of methane and the subsequent coupling of CH2
surface intermediates to form ethylene appear to be linearly
related to the M–S bond strength, as shown in Fig. 4.
Figure 3 | Ab initio DFT calculations shows the characteristic reactant,
transition state and product structures for the catalytic conversion of
methane to ethylene using gaseous sulfur as the oxidant. a,b, Optimized
reactant, transition state and product structures for the initial C–H activation
of methane over surface S–S pairs (a) and CH2 coupling to form ethylene at
the sulfur edge of the MoS2 surface (b). Similar structures are shown in the
Supplementary Information for these same reactions at S–S sites on model
RuS2, PdS and TiS2 surfaces. Yellow, sulfur; light blue, Pd; white, H; grey, C.
substantially higher with rising temperatures. In contrast, both the
RuS2 and MoS2 catalysts exhibit very low ethylene selectivities—
lower than the selectivity measured in the ‘blank’ experiments
over the entire temperature range—because they efficiently catalyse
over-oxidation to CS2. A minimal ethylene yield is observed
for all catalysts at temperatures below ꢁ1,073 K. The absence
of detectable ethane and methanethiol formation over any of the
catalysts is in agreement with thermodynamic expectations that
the formation of these products is unfavourable under these con-
ditions (Table 1).
CHx coupling can conceivably occur either on the surface of the
catalyst or in the gas phase. The increased selectivity and conversion
with increasing temperature reported in Fig. 2 in principle supports
both surface as well as gas-phase CHx coupling pathways, because
increasing the temperature or conversion will increase CHx
species formation on the surface as well as in the gas phase. The
increase in selectivity that occurs when using less active catalysts,
however, would indicate that, regardless of where the actual CHx
coupling takes place, the key step involves CHx–S* bond weakening
to generate the active intermediates. Although we will explicitly
discuss the coupling of CHx–S* species on the surface, the results
are essentially the same if the coupling occurs in the gas phase, as
the desorption rate of CH·3 radicals from the surface is inversely
related to the CH3–S* bond strength and linearly related to the
M–S bond strengths.
First-principles density functional theory (DFT) calculations
were carried out to help understand the reaction pathways and
mechanisms, the nature of the active catalytic sites and the effects
of the catalyst, as well as the reaction conditions on methane conver-
sion and the selective formation of ethylene. Details concerning the
computational methods used, as well as the results for the initial
activation of methane, the subsequent C–H activation of other
CHx–S* intermediates, the coupling of surface hydrocarbon inter-
mediates (CHx–S*) to form ethylene, and the desorption of CHx
species from the surfaces are discussed in Supplementary Sections
B1, B2. The coupling of CHx intermediates was explored on the
surface as well as in the gas phase.
Detailed structural optimizations were carried out on the close-
packed 111, 100 and 110 surfaces of MoS2, RuS2, TiS2 and PdS
over a range of sulfur coverages to establish the lowest energy struc-
tures of the surfaces at different temperatures and CH4/S ratios. The
results for these model MoS2, RuS2, TiS2 and PdS surfaces (shown
in Supplementary Fig. S5) were used to determine the most
The computed barriers for methane activation over the different
metal sulfides reported in Fig. 4 increase with increasing M–S bond
strength as MoS2 . RuS2 ≈ PdS . TiS2 and directly track the
300
C–H activation
MoS2
Pd16S7
TiS2
250
PdS
RuS2
200
PdS
RuS2
MoS2
TiS2
150
100
Pd16S7
160
CH2 coupling
120
60
80
100
140
M–S bond energy (kJ mol–1
)
Figure 4 | Calculations reveal a correlation between both C–H activation
and CH2 coupling with M–S bond strength. The results from DFT quantum
chemical calculations reveal a linear correlation between both the calculated
activation barriers for methane C–H activation (blue) and the coupling of
methylene (CH2–S*) intermediates to form ethylene (red) with the
corresponding M–S bond strength over S–S site pairs on model MoS2, RuS2,
PdS, TiS2 and Pd16S7 surfaces. The C–H activation and CH2 coupling
barriers over S–S sites on reduced Pd16S7 surfaces are indicated separately
with larger symbols. The best fit lines and the corresponding values of the
correlation coefficient (R) for methane activation (blue) and CH2 coupling
(red) are calculated to be Ea(C–H activation) ¼ 100.27+1.15 kJ mol21 (M–S
bond energy), R ¼ 0.990; and Ea(CH2 coupling) ¼ 367.14+1.60 kJ mol21
(M–S bond energy), R ¼ 0.9958, respectively.
106
© 2013 Macmillan Publishers Limited. All rights reserved.