In 2001, Li and Kaneko reported interesting gas adsorption phenomena on a blue crystalline coordination polymer synthesized from bpy and Cu(BF₄)₂ showing sudden gas uptake at a definite gas pressure [63]. Porous and nonporous materials show that various gas adsorption isotherms depend on the surface properties, the pore diameter, and nature of the gas molecule. The adsorption isotherms for vapors are classified into six types by the IUPAC (Figure 1) [79].

Despite the difference of the detail profile, all of the six types of adsorption isotherms show a gradual increase of the amount of gas adsorption dependent on gas pressure. Therefore, the nil gas adsorption in the low-pressure region and the sudden gas uptake profile of the “blue crystalline” CP/MOF cannot be classified by IUPAC categories. There were a number of reports on gas adsorption phenomena on PCPs/MOFs before the Li-Kaneko report in 2001. In the old example, although adsorption isotherms were not disclosed, Mori and Takamizawa reported the gas adsorption phenomena on copper complexes. Nevertheless, all of the PCPs/MOFs show traditional adsorption isotherms, which are classified by the six types of adsorption isotherms [80–93]. In other words, before the Li-Kaneko report, all of the gas adsorption phenomena on PCPs/MOFs were classified into representative physisorption by porous materials and resembled such properties, which were shown by traditional adsorbents. In this context, gate adsorption was an unprecedented phenomenon. Subsequent studies revealed that the “blue crystalline” CP/MOF shows the gate phenomena not only to CO₂ but also N₂, O₂, and Ar [94,95]. It is noteworthy that the “blue crystalline” CP/MOF also shows a gate response to supercritical CH₄ at 303 K that usually shows very small interaction to adsorbent (Figure 2) [96].

The chemical formula of the “blue crystalline” CP is [Cu(bpy)(H₂O)₂(BF₄)₂]·bpy (1), and Hubberstey et al. firstly reported its structure [97]; in which a one-dimensional main structure that is composed of Cu²⁺-bpy is integrated into a three-dimensional structure through hydrogen bondings among coordinated H₂O, bridging guest bpy molecules, and BF₄⁻ anions. This CP shows the gate adsorption properties after heating in vacuo treatment; hence, the characteristic hydrogen bonding network was thought to play an important role in the gate phenomenon in the early stage of the study. In a detailed study by X-ray diffraction analysis, infrared spectroscopy (IR), EXAFS, and elemental analysis, it is revealed that the CP releases water molecules in a reversible fashion and changes its structure into a two-dimensional layer stacking-type architecture, and its chemical formula is [Cu(bpy)₂(BF₄)₂] (Figure 3) [98]. This layered CP was revealed to be the real gate material and named an elastic layer-structured metal-organic framework (ELM-11). Therefore the hydrated complex 1 is named preELM-11.

The Cu²⁺ ions are octahedrally coordinated by four bpy ligands at the equatorial positions to give two-dimensional, square grid sheets (Cu-Cu squares: 11.15 × 11.15 Å), while two BF₄⁻ anions occupy the transaxial positions (Figure 4) [99]. Although the square grid motif constructed by linear bidentate ligand and Cu²⁺ is not uncommon, BF₄⁻ anion, which has a weak coordination ability and coordinated structure, is relatively unique [100–106].

Although there are spaces for the inclusion of guest molecules in each square cavity, there is no effective pore in the stacked architecture because of the staggered stacking structure (Figure 5). The nil adsorption under the gate pressure can be understood from this structure, and Kaneko named this kind of CP a latent porous crystal, LPC [96]. Later the name of LPC was extended into a general name which covers family compounds, as given in this review.

The unique gate phenomenon was clarified by detailed synchrotron radiation experiments on the CO₂ adsorbed structure of the CP [99]. After CO₂ adsorption, the inter-layer distance is increased by 1.20 Å (26%) from 4.58 Å to 5.78 Å, and the staggered stacking layers slide with each other, accompanying the rotation of the pyridine ring [107–109]. As a consequence, spaces for the accommodation of guest molecules are generated. Such structural change was also confirmed by infrared spectroscopy (IR); the peak at 1149 cm⁻¹, which is assigned to the BF₄⁻, immediately disappeared during CO₂ adsorption, and a new peak appeared at 1170 cm⁻¹ by way of compensation. Two isosbestic points at 1144 and 1156 cm⁻¹ indicate that this phenomenon is a transformation between two states: The apohost and the CO₂-CP clathrate (Figure 6) [96]. The IR spectral change and CO₂ adsorption isotherm show relatively good correspondence (Figure 7). The gate gas adsorption and inter-layer expansion were accompanied with volume changes of powder crystalline ELM-11 (Figure 8). It is noteworthy that molecular expansion phenomena cause a macroscopic volume change irrespective of non negligible outer granular gaps.

In short, the gate phenomenon of ELM-11 is summarized as follows: (1) gate adsorption and desorption processes are ascribed to expansive, and shrinking modulation of the layer-stacking structure accompanied with gas molecule accommodation and effluence, respectively [55,110]; (2) the structural change consists of a two-state transformation between the apohost and guest-apohost clathration; (3) in a microscopic sense, the structural change is induced by the molecular movement generating the accommodation space, such as layer sliding, interlayer expansion, and pyridine ring rotation, caused by guest molecule accommodation and in the macroscopic sense, powder volume enhancement caused by external stimuli [111,112].

In the case of nitrogen gas adsorption at 77 K, BF₄⁻ containing ELM-11 ([Cu(bpy)₂(BF₄)₂]) and ELM-31 ([Ni(bpy)₂(BF₄)₂]), both show that the upward convex profile in the adsorption isotherm and the maximum amount of adsorption are almost similar (Figure 10). Although the structure of [Ni(bpy)₂(BF₄)₂] is still unclear because of the difficulty of single crystal synthesis, the composition of the components was confirmed by elemental analysis. The similarity of ELM-11 and ELM-31 was confirmed by IR, TG, and gas adsorption experiments using several gases, such as N₂, CO₂, and O₂. Therefore, the structure of the Ni-CP is presupposed to a two-dimensional square grid in this article.

On the other hand, ELM-12 (Cu), containing trifluoromethanesulfonate (OTf) as a counter ion, shows a definite double step adsorption isotherm, while the rising profile is almost vertical (Figure 11) [67]. From the detailed structural study using synchrotron X-ray diffraction analysis, it was revealed that the ELM-12 has open micropores at the initial stage, and the first vertical adsorption step is assigned to micropore filling in the inherent micropores. This is in marked contrast to the nonporous nature of ELM-11, in spite of the common analogous fundamental two-dimensional layer structure. This difference is derived from only slight difference in stacking structure; the layers of ELM-11 are stacked in a complete staggered form, so that the bpy molecules cover the open space of metal-organic square grids in the neighboring layers. On the other hand, the layers of ELM-12 are also stacked in zigzag fashion, but the slipped degree is smaller than that of ELM-11 hence ELM-12 affords effective micropores to accommodate gases. In addition, the slightly larger inter-layer distance of ELM-12 compared to that of ELM-11 also help generate porosity at the initial stage. Furthermore, it is also revealed that the second adsorption step is derived from layer expansion phenomena accompanied with the gas-ELM clathrate generation in a way analogous to the gate phenomena of ELM-11.

Another OTf containing ELM, ELM-22 ([Co(bpy)₂(OTf)₂]), accentuates the characteristics of OTf anions. Despite the differences of metal ions, both OTf containing ELMs (ELM-12 and ELM-22) indicate a similar adsorption property in the case of N₂ at 77K [113]; the maximum amount of adsorption and definite double-step adsorption profile are close to each other with a slight difference in the gate pressure (Figure 12). These similar adsorption properties are apparently derived from the similarities in their fundamental structure. Counter anions regulate the structure (especially through the stacking mode) and influence the adsorption profile [114–120].

Trifluoro(trifluoromethyl)borate anions, which contain a hydrophobic CF₃ part like that in OTf anions, and a weakly coordinating BF₃⁻ part that is the same as those of BF₄⁻ which is also available for the construction of the ELM structures. ELM-13 was thynthesized by layering method (Cu(BF₄) ₂ and KCF₃BF₃/H₂O and bpy/acetone at room temperature) and the two dimensional layer strcture was analyzed by single crystal X-ray diffraction analysis. The pretreated (at 363 K under reduced pressure) CF₃BF₃⁻ containing ELM (ELM-13), [Cu(bpy)₂(CF₃BF₃)₂], shows unique gate gas adsorption properties. In the case of N₂ adsorption at 77 K, ELM-13 shows a single step adsorption profile, while the maximum amount of adsorption is similar to BF₄⁻ containing ELM-11. However, the vertical rising of the adsorption isotherm at the initial stage is more marked in OTf containing ELM-12 (Figure 13).

In the case of ELMs, the role of counter anions is not only to charge compensation of metal cations, but also to regulate the interaction between the layers. In the case of ELM-12 (Cu-OTf), there exists the hydrogen bonding between the O atom of the OTf anion and the β-hydrogen atom of bpy in the neighboring layer, and the hydrogen bondings act as the tether line between the layers (Figure 14) [121].

The counter anions, BF₄⁻ and CF₃BF₃⁻, have similar coordination properties (Metal-F) and both anions form the same type of hydrogen bonding (F...H). The two ELMs show a single step gate adsorption, and the maximum amount of adsorption (N₂, 77 K) is almost similar. On the other hand, a double step gate-type ELM-12 contains OTf (CF₃SO₃⁻) anions, which resemble the CF₃BF₃⁻ anion in size, but differs in its coordination property (O...Met) and type of hydrogen bonding (S=O...H). In this context, it can therefore be presumed that the regulating factor of gate steps (single step or double steps) is not the size of the counter ion but their chemical factors, such as the coordination ability and type of hydrogen bonding. On the other hand, OTf and CF₃BF₃⁻ anion-containing ELMs almost show a vertical adsorption isotherm profile, while BF₄⁻ containing ELM shows an upper convex profile. Therefore, in the case of the gate response, an important factor may be the ion size or the chemical property, such as hydrophobicity derived from a CF₃ group. In any case, the ELMs, which have different counter ions but the same fundamental structure, show quite a strikingly different response to nitrogen gas, although nitrogen molecules are inert and small. Furthermore, it is also worth noting that the controlling factor for (1) gate behavior (single or double), (2) the gate profile (upper convex or vertical), and (3) the maximum amount of adsorption, are counter ions, which are just small parts attached to metal ions (Table 1).

As mentioned above, ELMs which contain OTf, BF₄⁻, or CF₃BF₃⁻ anions, show characteristic adsorption isotherm profile, respectively. Then, what adsorption profile does an ELM, containing two different anions show [102,122,123]: ELM-12/3 bearing both OTf and CF₃BF₃⁻ was synthesized by layering of Cu(OTf)₂ and KCF₃BF₃/H₂O and bpy/ethanol (Elemental analysis as C₂₂H₁₆N₄O₃CuBF₉S, which corresponds to the Cu:bpy:CF₃SO₃:CF₃BF₃ = 1:2:1:1; Calcd (%): C 39.93, H 2.44, N 8.47, Cu 9.60, B 1.63, S 4.85; found: C 41.4, H 2.30, N 8.8, Cu 9.60, B 1.20, S 4.40. The content of the two ions species are also quantitatively analyzed by ion chromatography: 1.04 equivalent of OTf for Cu²⁺ and 1.00 equivalent of CF₃BF₃⁻ for Cu²⁺ were detected.). Two dimensional layer strcture of ELM-12/3 was analyzed by single crystal X-ray diffraction analysis. This ELM-12/3 shows an adsorption isotherm quite similar to that of ELM-12 containing OTf: The similarities are shown in the vertical double step profile, the adsorption amount ratio of one-step and second-step (ca. 1/1), and the maximum amount of adsorption (220 mg/g). On the one hand, the gate pressure of ELM-12/3 decreases significantly compared to ELM-12 (OTf) and ELM-13 (CF₃BF₃⁻). On the other, ELM-12/3 shows the lowest gate pressure compared to ELM-12 (Cu-OTf) and ELM-22 (Co-OTf) (Figure 15).

To date, and to the best of our knowledge, ELM-12/3 is the only example of two-dimensional flexible CPs having the mixed counter anions.

As mentioned above, the influence of metal ions on the adsorption profile is slight in the case of N₂ adsorption at 77 K. If the counter ion is common, the slight difference of the adsorption isotherms between Cu-ELM vs. Ni-ELM and Cu-ELM vs. Co-ELM is observed only in the gate pressure. On the other hand, the kind of metal cations is quite an important factor for controlling the sorption phenomena in the case of O₂ and CO₂ adsorption [113]. Trifluoromethanesulfonate anion-containing ELM-12 (Cu) and ELM-22 (Co) are basically isostructures, despite the slight difference in the coordination field of metal ions derived from the Jahn-Teller effect. Therefore, the porous character of the initial structure derived from the slight zigzag stacking mode is common in both the ELMs. However, they show quite different responses to O₂ and CO₂ molecules. In the case of O₂ adsorption at 77 K, the ELM-22 (Co) shows the same double step adsorption isotherms as those in the case of N₂ adsorption, even though Cu²⁺ containing the ELM-12 adsorbs O₂ in triple steps, and the maximum amount of adsorption is 1.6 times that of the ELM-22 (Co). Carbon dioxide molecules induce a similar response in the ELMs—the adsorption isotherms (196 K) of the ELM-22 (Co) are of a double step, while ELM-12 (Cu) shows a multi step adsorption phenomenon. Furthermore, the total amount of adsorption of ELM-12 (Cu) is 1.5 times that of ELM-22 (Co). The molecular number of that adsorbed on ELM-12 (Cu) and the physical properties of the adsorbed gas are shown in Table 2.

Although the molecular size of O₂ is comparable to N₂, the adsorbed amount of O₂ is apparently larger compared to that of N₂ (1.5 times). In addition, although the molecular size of CO₂ is larger than N₂, CO₂ molecules of an amount similar to N₂ can be accommodated in the flexible ELM-12 framework. Accordingly, it can be presumed that O₂ and CO₂ molecules have a stronger effect on the layer expansion of Cu-ELM and that such effect is less for Co-ELM. On the other hand, Ni²⁺ containing ELM-31 (Ni-BF₄) shows simple one step gate responses to CO₂ at 273 K, which is similar to the response of Cu²⁺ containing ELM-11 (Cu-BF₄) to CO₂ (Figure 16). In this case, the metal cation does not affect the gate profile but mainly the gate pressure.

It is also well known that the type of metal cation used has a strong effect on the adsorptivity of PCPs/MOFs [125–128]. This effect is divided into two categories: (1) direct effect—through the interaction between metal cations and adsorbed molecules, and (2) indirect effect—through the regulation of pore structures. In the case of the PCPs/MOFs having open metal sites, it is especially well studied that adsorption control by the metal ion is based on metal-adsorbate interaction [84,129–132]. Although it is also well known that isostructural PCPs/MOFs are constructed from different metal ions, the metal effects on adsorption through structural regulation have not been well studied, especially in the case of flexible coordination polymers [133–136]. Férey et al. report one of a few examples discussing the effect of large quadrupole moments of CO₂ on the structural transformation of flexible PCPs/MOFs [135]. The contribution of the quadrupole moment of CO₂ in the interaction is still much smaller than the dispersion attractive interaction. In the case of ELMs, an important aid with the large quadrupole moment of CO₂ for large amount and multi step CO₂ adsorption on ELM-12 (Cu) can be considered [135,137–140]. Carbon dioxide also shows specific behavior with the adsorption phenomena on the gate opening mechanism of ELM-11 (Cu-BF₄). Although both N₂ (77 K) and CO₂ (273 K) show a single step gate adsorption on ELM-11, the number of adsorbed molecules is quite different: N₂ is 7.0/unit cell (at P/P₀ = 0.99, at 77 K) and CO₂ is 1.9/unit cell (at P/P₀ = 0.99, at 273 K), because the adsorption temperature of CO₂ is close to the critical temperature as shown in Figures 13 and 16. Actually, the isosteric heat adsorption of CO₂ on ELM-11 was estimated at 26 kJ/mol by the van’t Hoff equation, at the range of the number of adsorbed CO₂ molecules from 0.5/unit cells (37.58 mg/g) to 1.5/unit cells (112.7 mg/g). This value is comparable to the sublimation enthalpy of CO₂ (25 kJ/mol). These results imply the specific interaction of CO₂ and ELM-11 at the subcritical temperature. Thus, CO₂ should be highly stabilized in the lattice of ELM-11. Although Baiker et al. reported interaction between Cu²⁺ of (pre)ELM-11 and adsorbed acetnitrile molecule [141], metal-guest interaction of ELMs are still unclear and under investigation.

Hydrogen molecules are not adsorbed on nonporous ELM-11 under the condition of supercritical gas above 33 K. In addition, hydrogen molecules do not cause the structural transformation because of weak interaction. As both ELM-12 (Cu) and ELM-22 (Co), which contain OTf ions, are porous even at the initial stage, they adsorb slight H₂ at 77 K. From the small amount of adsorbed gas and weak interaction with H₂, the adsorption mechanism is considered as a quasi-micropore filling whereby super critical gas can be filled in the inherent pore sites enough to stabilize the molecules even above a critical temperature. The adsorption is not chemisorptive but reversible [142]. Although the pore parameters of ELM-12 (Cu) and ELM-22 (Co) are quite similar, the adsorbed H₂ amounts differ from each other [113]. This difference is apparent especially in low pressure regions. For example, ELM-22 (Co) adsorbed more than 1.5 times that of adsorbed ELM-12 (Cu) at a low pressure region. As the difference in the dispersion interaction of Cu²⁺ and Co²⁺ ions with H₂ molecules should be small, this difference is attributed to the more meandering pore structure of ELM-22 (Co) compared to ELM-12 (Cu), and the fine structural difference arises from a difference in metal cations (Table 3).

As mentioned above, in the case of ELMs, metal cations act not only as a simple connecting node for the architecture, but also as fine tuning of pore structures.

In general, the length of ligands is a key factor to tune the coordination space of PCPs/MOFs [143–150]. Yaghi’s group reported the archetype study of relationships between the length of the ligand and the amount of gas adsorption using a series of various ligands [43]. According to their studies, PCP/MOF with longer ligands apparently tend to have a large coordination space—when the ligands are changed from terephthalic acid (IRMOF-1, contains one phenyl (Ph) ring), 4,4′-biphenldicarboxylic acid (IRMOF-10, two Ph ring), to 4,4′-terphenyldicarboxylic acid (IRMOF-16 three Ph ring), the calculated percentage of free volume increases from 79.2% (one Ph), 87.0 (two Ph), to 91.1% (three Ph).

In contrast to the Yaghi’s rigid PCPs/MOFs series, flexible ELMs show a reverse tendency. Although the extended ligand, 4,4′-bis(4-pyridyl)benzene (bpb) (11.4 Å) is 63% longer than bpy (7.0 Å) [151], ELM-31b ([Ni(bpb)₂(BF₄)₂]) shows a 40% smaller adsorbed amount (W₀(N₂) = 212 mg/g at 77 K) compared to that of ELM-31 ([Ni(bpy)₂(BF₄)₂])(W₀(N₂) = 350 mg/g at 77 K). This reverse tendency should be understood from the unique adsorption mechanism of ELMs. In the case of “hard” PCPs/MOFs, which show type I physisorption isotherms, there is a tendency for the larger free volume to accommodate more gas. On the other hand, “flexible” ELMs adsorb gas through clathrate formation; the adsorption depends on the stability of the gas-CP/MOF clathrates. Since the clathrates of larger square grids with longer ligands (bpb ligand, 15 × 15 Å) are unstable because of the weak interaction between guests and hosts, compared to small square grids (bpy ligand, 11 × 11 Å), the amount of adsorbed gas tends to decrease for the longer ligand system. Fujita et al. reported the example of flexible two-dimensional layer stacking-type PCP/MOF with extended ligands. This PCP/MOF varies its structure with solvent exchange [152]. To our best knowledge, the ELM-31b is the only example of two-dimensional stacking PCP/MOF with extended ligands, which can change its structure by gas molecules, which interact with host framework by weaker interaction.

An aromatic compound containing nitrogen such as pyridine is one of the most popular coordinative functional groups, and hence many CPs/MOFs have been synthesized using exobidentate ligands bearing two pyridyl groups, such as bpy [153,154]. There are quite a few examples of metal-organic square networks with linear bifunctional spacer ligands [155]. To synthesize such kinds of CPs/MOFs, various ligands have been used: short or long [156–161], rigid or flexible [162,163], linear or inflectional [164,165], with functional group(s) [159,166–170], rotaxane-type [171], chiral-type [172], and so on. An example of a typical linear, rigid, exobidentate ligand would be 4,4′-bipyridine. A number of two-dimensional square grid stacking-type CPs/MOFs (2DSG-CP/MOF) with this ligand has been reported [173–176]. Because of the neutral nature of bpy, 2DSG-CPs/MOFs necessarily contain counter anions to compensate the positive charges of metal ions, and these negatively charged counterparts increase the diversity of 2DSG-CPs/MOFs. Various 2DSG-CPs/MOFs constructed with bpy and unidentate coordination anion are listed in Table 4.

Since almost all the listed 2DSG-CPs/MOFs include guest molecules, this means the 2DSG-CPs/MOFs are potentially acting as porous materials. From the standpoint of host/guest chemistry, the synthesis of hybrid-type nonlinear optical materials was attempted with the combination of 2DSG-PCPs/MOFs host and guest molecules, such as p-nitroaniline [185]. On the other hand, there is no report on the gas adsorption or structural transformation of the CPs/MOFs listed in Table 4, except for ELMs. In addition, we cannot synthesize ELMs family with any counter anions other than BF₄⁻, OTf, and CF₃BF₃⁻. If the scope of ligands widens from bpy to pyrazine, 1,4-bis(4-pyridyl)benzene, and 4,4′-bis(4-pyridyl)biphenyl, to the best of our knowledge, there is no report on the gate gas adsorption of 2DSG-CPs/MOFs or the structural transformation of 2DSG-CPs/MOFs caused by gas molecules. In the case of longer ligand, it is reported that the structural transformation of 2DSG-CPs/MOFs constructed with 4,4′-bis(4-pyridil)biphenyl ligand. However, the structural change was not caused by gas molecules but by the exchange of aromatic guest molecules [160]. The reason why all of the listed 2DSG-CPs/MOFs except the ELMs do not show the gas adsorption is considered to be as follows: (1) the cavity of the metal-organic square does not act as an open pore because of the close packing of the layers and the difficulty of structural transformation of the layers; (2) the cavity is already occupied by non-removable guest molecules and there is no space for gas adsorption; and (3) the 2DSG structure collapses when the guest is released. The necessary requirement for gas adsorption is conservation of the framework structure after the guest release. The collapse of the CP/MOF structure with the guest release can be seen as a common behavior, and in the case of 2D CP/MOFs [217], sometimes a turbostratic disorder occurs in the case of 2DSG CP/MOFs [218]. The present collapse assumption must be reconsidered, based on the fact that ELM-22 (Co) retains its 2DSG structure without any guest.

Hereafter, let us consider the role of counter anions. It is well known that these play a significant role in regulating the structure of CPs/MOFs [122,159,219–221]. In addition, the counter anions sometimes play a significant role in the function of CPs/MOFs. However, in the case of flexible PCPs/MOFs [222], the role of counter anions in structural transformation is not necessarily clear. The common features of the counter anions of ELMs are: (1) monodentate; (2) mono-valent; (3) weak coordination ability; (4) occupation of the apical positions; and (5) participation of fluorine atoms. In the case of non-ELM 2DSG-CPs/MOFs, NCS⁻, which have relatively strong interaction with metal cations, tend to occupy the apical positions. Imamoto reported the synthesis of [Ni(bpy)₂(NCS)₂] [188] of a fundamental structure is similar to ELM-22 (Co-OTf) having no guest and precise layer stacking. Therefore, the non-porous character of the Imamoto’s Ni-CP/MOF may be attributed not to structural friability but to the difficulty in the structural transformation for the generation of micropore. Jacobson reported the Co version of NCS-2DSG-CP/MOF, [Co(bpy)₂(NCS)₂]·2Et₂O [179]. Although this compound easily releases two ether molecules, the non-guest state does not induce gas adsorption. In this case, the initial porous state is supposed to transform into a non-porous form (a compact layer stacking form) with the guest release. Imamoto and Jacobson did not mention the gas adsorption ability of their CPs/MOFs. From our adsorption experiment (N₂ at 77 K and CO₂ at 273 K, after the pretreatment at 363 K for three hours under reduced pressure), Ni-CPs/MOFs did not show any gas adsorption ability. We also checked Fujita’s [Cd(bpy)₂(NO₃)₂], but this CP did not show N₂ gas adsorption ability at 77 K.

In the case of other anions, such as NO₃⁻, ClO₄⁻, and PF₆⁻, these weak coordination anions tend to locate themselves in the square grid as guests. They occupy the apical position only if the grid accommodates aromatic guest molecules. Based on these facts, occupation of the apical positions by weak coordinating anion can be regarded as one of the key factors for the gate gas adsorption phenomena. Although the space of the grid will decrease, if the counter anion is present as a guest, there still remains room for small gas molecules, considering the small size of the counter ions compared to the size of the square grid. Therefore, the reason why the ion-accommodating 2DSG-CP/MOF does not uptake the gas molecule, may be attributed to the difficulty of interlayer sliding. In the case of ELMs, interlayer sliding is a crucial motion for the gate phenomena. Therefore, the interlayer interaction is a relatively important factor for gate adsorption. In general, ligand-ligand interaction, such as CH-π and π-π, is well known as the interlayer interaction [223,224], and ligand-counter ion interaction also sometimes have a significant function [156,225–227]. In the case of ELMs, a counter ion occupies the apical positions of metal cations and acts as a terminal ligand. At the same time, the anion forms hydrogen bonds with the β-hydrogen of bpy of the neighboring layer, and the hydrogen bonding network acts as tether lines between the two-dimensional layers. These facts are strongly indicative of the key role of the counter anion in the gate phenomena.

The fact that the counter ions of ELMs (BF₄⁻, CF₃SO₃⁻, and CF₃BF₃⁻) necessarily bear a number of fluorine atoms does not seem to be a coincidence. Although fluorine atoms bound to the carbon atom rarely form hydrogen bonding, fluorinated ligands sometimes affect the structural transformation or the adsorption phenomena of CPs/MOFs through their unique physical properties [228–234]. Fluorine atoms bound to inorganic elements have the ability to form hydrogen bonds, which sometimes play an important role in the construction of molecular structures. In addition, the largest electronegativity of the fluorine atom should influence the coordination space. However, the effect of fluorine atoms on the structural transformation of CPs/MOFs has not been systematically studied. As mentioned above, some sorts of participation of fluorine atoms on the gate phenomena can be presumed, and further study is required to clarify the accurate role of fluorine atoms.

As already mentioned, various 2DSG-CPs/MOFs which have a shorter ligand than bpy have been reported. Although some of them contain coordinating BF₄⁻ or OTf, to the best of our knowledge, no gate gas adsorption phenomenon or structural transformation has been reported on these CPs/MOFs. There are a few reports on CPs/MOFs with longer analogues to bpy, such as 1,4-bis(4-pyridyl)benzene and 4,4′-bis(4-pyridyl)biphenyl [235]. Fujita et al. reported that the NO₃⁻ coordinated 2DSG-CP/MOF with 4,4′-bis(4-pyridyl)biphenyl shows a reversible structural transformation, which was caused by guest exchange (mesitylene/o-dibromobenzene) with a very slow timescale in 22 hours [160]. To the best of our knowledge, this is the only report on the structural transformation of the isostructural CP/MOF of ELMs.

In the case of ELMs, gate gas adsorption/desorption suddenly occurs, accompanied with the synchronous IR change [191]. From the isosbestic points of IR change, the structural transformation is understood as an equilibration between close and open forms. Strictly speaking, this phenomenon must be understood by clathrate formation through the guest molecule inclusion reaction, as already mentioned earlier [73,75,78,96]. The clathrate formation mechanism is described by a general thermodynamic expression. The application of this theory to ELM-11 is given in the following Equations (1) and (2):

n shows the number of CO₂ molecules accommodated in the unit cell of ELM-11 at the same time. In general, the cooperative structural transformation phenomena of oligomeric structures caused by plural effecters are well known as an allosteric effect (e.g., structural transformation of hemoglobin caused by O₂ molecules). In the case of ELM-11, CO₂ adsorption isotherms and the fitting results of the cooperative clathrate formation show relatively good accordance. This strongly indicates that the gate adsorption/desorption of ELM-11 stems from a clathrate formation reaction.

The gate adsorption/desorption phenomena of CPs/MOFs have been discussed both from the viewpoint of kinetics and thermodynamics [236–238]. In the case of ELMs, it is confirmed that both the gate opening and closing states are in a thermal equilibrium [96]. Methane gas-pressurized ELM-11 at 303 K at 2.5 MPa is in the gate-open stage. When the sample was cooled to 273 K, the adsorption amount increased and the amount was coincident with that of the desorption branch of 273 K. When the cooled sample was, in turn, warmed to 303 K, the adsorption amount was decreased and the amount was coincident with that of the desorption branch of 303 K (Figure 17). From these experiments, it is apparent that ELM-11 at the gate-open state is a thermodynamic product. The thermal equilibrium of the gate-closed state of ELM-11 was also confirmed by CO₂ adsorption experiments. Although the gas pressure was retained for 13 hours at ambient temperature at slightly under the gate opening pressure, ELM-11 did not adsorb the gas. This experiment also strongly supports the equilibrium nature of ELM-11 before the gate opening.

As shown in Figure 14, the presence of hydrogen bonding between the counter ion and bpy ligand in neighboring layer is confirmed by single crystal X-ray diffraction analysis. During the early stage of the study of ELMs, gate phenomena were considered to accompany the cleavage of the hydrogen bonding network. Although the modulation of hydrogen bonding during the expansion/shrinkage structural transformation was not clarified, it is confirmed that interlayer interactions, such as hydrogen bonding and π-π interactions, still remain after the structural transformation. The weak interactions work as tether lines between the layers and the structural transformation can be achieved not by the cleavage of weak interactions but by the rotation of the aromatic rings and conformational change of counter ions [239–244]. The fact that the maximum adsorbed gas amount was determined by the nature of the counter ions suggests the presence of the tether line mechanism of hydrogen bonding after the structural transformation.

Pressure swing or temperature swing adsorption systems using porous adsorbents have been practically used in gas separation, such as that for O₂/N₂ and CO₂/CH₄ [135,245,246]. In both systems, the maximum adsorption amount is an important factor for efficiency. However, the desorption amount per pressure or temperature swing is also important and this factor is strongly influenced by the profile of the adsorption isotherm (Figure 18). An adsorbent which shows a strong affinity to an adsorbate shows a steep uprise of adsorption isotherm at the low pressure region and such kinds of adsorbent sometimes have difficulty in recovering the adsorbed gas.

Figure 19 and Table 5 show the CO₂ adsorption isotherms on various adsorbent and recovered gas amounts by the pressure swing process calculated by the adsorption isotherms. The maximum amount of adsorbed gas on ELM-11 is moderate compared to other type I isotherm adsorbents. However, the recovered gas amount from ELM-11 by the pressure swing simulation is the largest because of the specific gate profile.

If an adsorbate has a strong affinity to CO₂ molecules, type I adsorption isotherm is obtained, but the affinity is too strong for the easy release of adsorbed gas. In this way, simple type I profiles pose the dilemma of the combination of strong adsorption and easy desorption. On the other hand, living systems solve this dilemma; hemoglobin realizes the strong adsorption and easy desorption of oxygen by cooperative structural transformation and the sigmoidal oxygen association-dissociation curve [247–249]. As in the case of hemoglobin, the gate profile, which is achieved by cooperative structural transformation, has the possibility to overcome the dilemma of strong adsorption and easy desorption. Therefore, the gate adsorption material has excellent potential applicability for the pressure swing adsorption process.

Around an ambient temperature and pressure, CO₂ opens the gate of ELM-11 but N₂ and O₂ cannot open it at ambient temperature and pressure, while the gate of ELM-11 is opened by N₂ and O₂ at a much lower temperature or higher pressure. Therefore, it is anticipated that high CO₂ separation ability form N₂ and O₂ at ambient conditions using ELM-11. Actually, the highly pure CO₂ (>99%) was obtained from ternary mixture gas (CO₂:N₂:O₂ = 40:47:13 mol%) using ELM-11 by the simple temperature swing operation [191]. This result shows the advantage of flexible gate materials for efficient gas separation.

The adsorption rate is an important factor for the industrial application of adsorbents. The adsorption rate of CO₂ on ELM-11 was measured by the pressure jump method. In the case of the pressure jump from 150 to 735 Torr at 273 K and from 150 to 730 Torr at 298 K, half the amount of adsorption is reached within three minutes. Further, the adsorption rate of CH₄ was also examined. When the pressure of CH₄ increases from 2.0 to 5.5 MPa at 298 K, the adsorption amount peaks within one minute (Figure 20). From these experiments, it is revealed that the adsorption rate of ELM-11 is sufficiently rapid for practical use.

Powder adsorbents must be shape-formed for easy handling in the case of industrial application [250]. Therefore, the process for making ELM-11 pellets was studied. A certain amount of pellet samples (10 mm in diameter, 3 mm in thickness, ρ = 1.3g/cm³) were made using a continuous pressing pelletizer with magnesium stearate (10 wt%) as a lubricant. The granulation of ELM-11 was also studied. Relatively hard (bead hardness = 130 cN, 1 mm diameter, 20 beads) granules with narrow particle distribution were obtained by a commonly used carbon granulation process using sugar as a binder (Figure 21).

The effect of the shape forming on the gas adsorptivity was estimated by the CH₄ gas adsorption on granulated ELM-11. Although there was a slight decrease of gate adsorption/desorption pressure, it retained a definite gate profile and large hysteresis, and the maximum amount of CH₄ adsorption was the same as that of unprocessed powder samples (Figure 22). Hence, easily obtainable ELM-11 powders are highly promising for real applications.

Methane gas is adsorbed on ELM-11 rapidly as mentioned above and the temperature elevation of ELM-11 with the adsorption of CH₄ was examined. Fifty grams of preELM-11 was packed in a stainless steel column, and the column was heated to 393 K under reduced pressure to convert the preELM-11 to ELM-11. Next, CH₄ was introduced to the column at 5.0 MPa, the pressure was increased from 5.0 to 6.0 MPa suddenly at 298 K, and the temperature of the adsorption column was monitored. The measured temperature elevation was only 3 K at the circumference of the column and only 6 K even at the center of the column (Figure 23). The maximum desorption due to the temperature rise is estimated to be less than 8%. If we mix the conductive carbon fibers with ELM-11 powder, the temperature rise should be suppressed.

ELM-11 is hygroscopic and varies its structure to the preELM-11 when exposed to the air. Therefore, it is convenient that ELM-11 is stored in the form of preELM-11. As mentioned above, preELM-11 is easily converted to ELM-11 by heat treatment at 393 K under reduced pressure. The precursor preELM-11 is quite stable and can be stored at room temperature. No structural and adsorption performance degradation was observed when stored as the form of preELM-11 for six years in a plastic vial at room temperature.

The stability of ELM-11 as an adsorbent was examined by repetition of CH₄ adsorption-desorption experiments at 303 K. After the adsorption-desorption cycle was performed 50 times, almost no change in the maximum amount of adsorption and gate pressure (adsorption and desorption) was observed. It is noteworthy that the stacked layer architecture through weak interlayer interaction, such as hydrogen bonding and π-π interaction, shows such durability for the interlayer sliding and layer expansion/shrinkage modulation.

The heat stability of ELM-11 was examined by thermal gravimetry. The precursor preELM-11 released water molecules up to 420 K and changed its structure to ELM-11. No further weight loss was observed up to 420 K.

PreELM-11 is easily prepared according to the reported procedure [99] and commercially available from Tokyo Chemical Industry Co., Ltd. Accordingly, from both the stand points of properties and availability, ELM-11 could be applicable to an industrial separation process.