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modification of functional groups in the cage with the same
size reduced the cage space.[34,35] Pore size distributions were
determined by nonlocal DFT calculations based on the N2
adsorption isotherms. The pore sizes of UPC-612 are mainly
distributed between 1.5 and 2.0 nm, which is consistent with
the crystallographic data.
C2H2, C2H4 and C2H6, and the affinity for C2H4 is the lowest.
As shown in Figure S23b, a similar trend of the affinity with
the order of C2H6 > C2H2 > C2H4 is provided by UPC-613.
The results show that the affinity of cyclopentadiene cobalt to
C2H6 and C2H2 is higher than to C2H4, which is useful in the
separation and purification of C2H4. This is different from
many adsorbents (Table S10). Theoretically, C2H2 and C2H6
are preferentially adsorbed from the gas mixture, while C2H4
can pass through the separation material successfully, and
thus the purified ethylene can be obtained from the mixed gas
in a single step. Compared with UPC-613, all Qst values of
UPC-612 are lower, which assists the regeneration of the
adsorbent.
Measurements of the C2H2, C2H4, and C2H6 gas adsorption
capacities of activated UPC-612 were performed. For com-
parison, the adsorption isotherms of MOF-525 and MOF-
525(Co) were also measured. The single-component adsorp-
tion isotherms of C2H2, C2H4, and C2H6 up to 1 atm were
measured at 273, 283 and 298 K, respectively (Figure S19,20
and Table S3). As expected, the amount of adsorbed gas in
UPC-612 decreased with increasing temperature. In addition,
the adsorption capacity of UPC-612 for C2H4 is lower than
those for C2H2 and C2H6 at two temperatures (Fig-
ure S20e,S20f), implying the distinct binding affinity of
UPC-612 for C2H2 and C2H6. At room temperature, the
adsorption capacities of UPC-612 are 67.44, 62.58, and
80.11 cm3 gÀ1 for C2H2, C2H4 and C2H6, respectively (Ta-
bles S3), dramatically higher than those of MOF-525 (59.3,
47.3, and 60.7 cm3 gÀ1) and MOF-525(Co) (58.7, 42.9, and
49.7 cm3 gÀ1). Compared with UPC-612, the adsorption ca-
pacities of UPC-613 with reduced cage diameter for C2H2,
C2H4, and C2H6 decreased to 63.4, 51.7, and 57.1 cm3 gÀ1,
respectively but are still higher than MOF-525 and MOF-
525(Co) with unmodified large cage diameters. This indicates
that the overall adsorption capacity of C2 gas is enhanced
after modification, but the adsorption trend remains the same.
At a given cage size, a higher adsorption amount represents
stronger interaction, while UPC-613 with a smaller size still
shows higher adsorption capacity, which further proves the
effect of the modification. Generally, a large adsorption
capacity is a prerequisite for good separation ability of
materials.
Reusability of porous materials is an essential condition
for industrial applications. Ten adsorption-desorption cycles
of UPC-612 and UPC-613 for C2H2, C2H4, and C2H6 were
recorded without reactivation prior to each cycle. There was
only 2.5%, 3.4%, and 2.8% loss in adsorption capacities of
C2H2, C2H4, and C2H6 after ten cycles for UPC-612 (Fig-
ure S21).
It is well-known that the magnitude of the adsorption
enthalpies of porous materials reveals the affinity of the pore
surface toward adsorbates and determines the adsorptive
selectivity. To evaluate the affinity of C2 hydrocarbons with
MOF-525, MOF-525(Co), UPC-612 and UPC-613, the ad-
sorption enthalpy (Qst) for different C2 hydrocarbons was
calculated using the Clausius-Clapeyron equation. The Qst
values of C2H2, C2H4, and C2H6 are 15.81, 16.74, and
19.95 kJmolÀ1 in MOF-525, 18.57, 23.35, and 20.73 kJmolÀ1
in MOF-525(Co), 23.94, 16.94, and 22.39 kJmolÀ1 in UPC-
612, and 30.38, 28.51, and 31.83 kJmolÀ1 in UPC-613 at zero
coverage, respectively (Figure S22,S23 and Table S4). The
results of these calculations show that MOF-525 has the
strongest affinity for C2H6, and is followed by C2H4 and
finally, C2H2. The Qst values of C2H4 and C2H6 in MOF-
525(Co), modified by cobalt ions were significantly increased.
The modified UPC-612 has an overall increased affinity for
Density Functional Theory (DFT) Calculations
Theoretical simulation is a powerful tool to enable us to
unveil the adsorption mechanisms and provide information
concerning adsorption sites. To provide the basic insight into
the adsorbate-adsorbent interaction, DFT simulations were
performed to calculate the stable adsorption configurations
and energies of C2H2, C2H4, and C2H6 in MOF-525, MOF-
525(Co), UPC-612 and UPC-613 with the Dmol3 module[36]
from Materials Studio. In view of the size of the task to
complete the DFT calculations using a whole MOF unit cell,
we used fragmented cluster models cleaved from unit cells
representing the actual situations as accurately as possible;
the cleaved bonds at cluster boundaries were saturated by
protons (Figure 4). The Perdew-Burke-Ernzerhof (PBE)
function under the generalized gradient approximation
(GGA) was used to complete all-electron spin-unrestricted
DFT calculations. DFT-D calculations were performed using
Grimmeꢀs standard parameters set for the van der Waals
correction of gas adsorption. The double numerical basis set
including polarization (DNP) was chosen for all atoms. The
adsorption energy (DEads) is expressed as DEads = Eads + Efram
À Eads+fram, where Eads, Efram and Eads+fram are the total energy
of the adsorbate molecule, adsorbent framework, and adsor-
bate-framework adsorption system, respectively.
The density distributions of the mass centers of C2H2,
C2H4 and C2H6 molecules within the structure of UPC-612 at
298 K and 1 atm were analyzed. It was found that the gas
molecules were concentrated mainly at the angle of the cube
cage, then at the linker-modified cyclopentadienyl rings.
Subsequently, the optimal adsorption sites and adsorption
energies of C2H2, C2H4, and C2H6 on TCPP, TCPP-Co, H4L-L,
and H4L-S linkers and metal clusters were obtained. As
shown in Figure 4a–c, the adsorption sites of C2H2, C2H4, and
C2H6 are concentrated in the center of TCPP, and the
corresponding adsorption energies are 26.84, 29.37, and
28.56 kJmolÀ1, respectively. In the TCPP-Co modified with
cobalt, the adsorption energies were significantly increased to
54.72, 63.11, and 45.196 kJmolÀ1, respectively (Figure 4d–f).
The adsorption energy of C2H4 after the modification which
placed cobalt in the center of porphyrin reached
63.11 kJmolÀ1, which is similar to the chemical adsorption
energy and is detrimental to the separation and purification of
ethylene. The modified H4L-L and H4L-S showed the same
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Angew. Chem. Int. Ed. 2021, 60, 11350 –11358