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<article xmlns:xlink="http://www.w3.org/1999/xlink" xml:lang="en" article-type="rapid-communication">
<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Polymers</journal-id>
<journal-title>Polymers</journal-title>
<issn pub-type="epub">2073-4360</issn>
<publisher>
<publisher-name>Molecular Diversity Preservation International (MDPI)</publisher-name></publisher></journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3390/polym3042133</article-id>
<article-id pub-id-type="publisher-id">polymers-03-02133</article-id>
<article-categories>
<subj-group>
<subject>Communication</subject></subj-group></article-categories>
<title-group>
<article-title>Design of Improved Metal-Organic Framework (MOF) H<sub>2</sub> Adsorbents</article-title></title-group>
<contrib-group>
<contrib contrib-type="author">
<name><surname>Furuta</surname><given-names>Terumi</given-names></name><xref ref-type="corresp" rid="c1-polymers-03-02133"><sup>*</sup></xref></contrib>
<contrib contrib-type="author">
<name><surname>Kanoya</surname><given-names>Izuru</given-names></name></contrib>
<contrib contrib-type="author">
<name><surname>Sakai</surname><given-names>Hiroshi</given-names></name></contrib>
<contrib contrib-type="author">
<name><surname>Hosoe</surname><given-names>Mitsuya</given-names></name></contrib>
<aff id="af1-polymers-03-02133">Honda R&amp;D Co., Ltd., Fundamental Technology Research Center, 1-4-1 Chuo, Wako-shi, Saitama, 351-0193, Japan; E-Mails: <email>izuru_kanoya@n.f.rd.honda.co.jp</email> (I.K.); <email>hiroshi_sakai@n.f.rd.honda.co.jp</email> (H.S.); <email>mitsuya_hosoe@n.f.rd.honda.co.jp</email> (M.H.)</aff></contrib-group>
<author-notes>
<corresp id="c1-polymers-03-02133">
<label>*</label> Author to whom correspondence should be addressed; E-Mail: <email>terumi_furuta@n.f.rd.honda.co.jp</email>; Tel.: +81-48-461-2511; Fax: +81-48-462-5330.</corresp></author-notes>
<pub-date pub-type="collection">
<year>2011</year></pub-date>
<pub-date pub-type="epub">
<day>12</day>
<month>12</month>
<year>2011</year></pub-date>
<volume>3</volume>
<issue>4</issue>
<fpage>2133</fpage>
<lpage>2141</lpage>
<history>
<date date-type="received">
<day>05</day>
<month>11</month>
<year>2011</year></date>
<date date-type="rev-recd">
<day>28</day>
<month>11</month>
<year>2011</year></date>
<date date-type="accepted">
<day>06</day>
<month>12</month>
<year>2011</year></date></history>
<permissions>
<copyright-statement>© 2011 by the authors; licensee MDPI, Basel, Switzerland.</copyright-statement>
<copyright-year>2011</copyright-year>
<license>
<p>This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution license (http://creativecommons.org/licenses/by/3.0/).</p></license></permissions>
<abstract>
<p>We attempted synthesis of the hydrogen adsorption material suitable for the fuel cell vehicles (FCEVs). The designed and synthesized Cu<sub>2</sub>(3,5-Pyridinedicarboxylate)<sub>2</sub> (=Cu<sub>2</sub>PDC<sub>2</sub>) metal complex showed an extremely high volumetric uptake density for a physisorption material, even though the specific surface area was only about 1,000 m<sup>2</sup> g<sup>−1</sup>. Factors for high uptake properties are considered to be the increased adsorption sites per unit area, the increased adsorption energy, and the optimized design of pore shapes. High hydrogen uptake on volumetric basis is especially effective for FCEV because the tank volume is reduced. It is expected that property prediction using computational simulation and sophisticated analysis at the micro and nano levels will become an indispensable tool in the design of functional materials.</p></abstract>
<kwd-group>
<kwd>hydrogen storage</kwd>
<kwd>metal organic frameworks</kwd>
<kwd>FCEV</kwd>
<kwd>designed MOF</kwd>
<kwd>adsorption</kwd></kwd-group></article-meta></front>
<body>
<sec sec-type="intro">
<label>1.</label>
<title>Introduction</title>
<p>Global warming is an urgent issue that mankind must tackle. The huge amount of CO<sub>2</sub> emitted by human activity is considered to be one of the leading causes of global warming. Therefore, reductions of CO<sub>2</sub> emissions are very important problem for not only human being but also earth. One of the lowest CO<sub>2</sub> emission vehicles is a fuel cell electric vehicle, in short, FCEV. FCEVs generate electricity by the chemical reaction of hydrogen and oxygen. FCEVs can use oxygen from air easily, but hydrogen has to be kept in high pressure hydrogen storage tank. The only substance emitted is water. FCEVs already have a cruising range and performance comparable to vehicles running on gasoline.</p>
<p>However, high pressure hydrogen tank is bigger and heavier than gasoline tank used for conventional gasoline engine vehicle, and the size and weight of high pressure tank prevent flexible design of FCEV and the improved fuel consumption. Therefore, the use of materials that store hydrogen with both high wt % and high vol % is being considered to make the tank lighter and smaller. Many hydrogen storage materials have been investigated so far. Some of the metal hydrides are candidate materials for hydrogen storage tank. LaNi<sub>5</sub> systems are easy to desorb hydrogen in ambient temperature but its hydrogen storage capacity is too small for FCEV. Even <italic>bcc</italic> type alloy or AB2 type alloys are insufficient for FCEVs. Mg alloys have sufficient hydrogen capacity but the operating temperature is too high for FCEVs [<xref ref-type="bibr" rid="b1-polymers-03-02133">1</xref>-<xref ref-type="bibr" rid="b3-polymers-03-02133">3</xref>]. Another type of material is a hydrogen adsorbent such as a carbon material or zeolite. Adsorbents have a marked advantage over metallic systems: the heat of adsorption and desorption is remarkably smaller than that of metal hydrides. As a result, heating and cooling equipment for hydrogen storage tank (the heat management system) is not required for adsorbents, and therefore the weight of the tank system may be reduced. The drawback is the relatively small amount of hydrogen that can be absorbed per unit amount of adsorbent; an improvement in this ratio is necessary for the application of adsorbents as hydrogen storage materials.</p>
<p>Recently, porous metal organic frameworks (MOFs) are gaining attention because of their unique porous structures and expected functions [<xref ref-type="bibr" rid="b4-polymers-03-02133">4</xref>]. MOFs have uniform micro-pores and they lead to expectation of high hydrogen adsorption property materials [<xref ref-type="bibr" rid="b5-polymers-03-02133">5</xref>,<xref ref-type="bibr" rid="b6-polymers-03-02133">6</xref>]. And there are many reports on their gas adsorption properties [<xref ref-type="bibr" rid="b7-polymers-03-02133">7</xref>-<xref ref-type="bibr" rid="b13-polymers-03-02133">13</xref>]. MOFs are huge molecular crystals where metallic cores are connected by organic ligands called linkers. The pore size and crystallographic system may be arbitrarily adjusted by suitably choosing the elements in the metallic cores and the organic ligands for the linkers [<xref ref-type="bibr" rid="b4-polymers-03-02133">4</xref>,<xref ref-type="bibr" rid="b14-polymers-03-02133">14</xref>]. This flexibility in design makes MOFs attractive.</p>
<p>Hydrogen adsorbents for FCEV applications must have high gravimetric (wt %) and volumetric (vol %) storage densities plus a low heat of adsorption (Δ<italic>H</italic>) to reduce the charging and discharging time. However, Δ<italic>H</italic> of current porous adsorbents are too small. For example, the Δ<italic>H</italic> of IRMOF-1 [<xref ref-type="bibr" rid="b15-polymers-03-02133">15</xref>], is 4.8 kJ mol<sup>−1</sup> (see <xref ref-type="supplementary-material" rid="SD1">Section S3 in Electronic Supplementary Information, ESI</xref>). Therefore, efforts of increasing Δ<italic>H</italic> are needed to increase adsorption capacity.</p>
<p>In this article, we attempted to improve both volumetric and gravimetric hydrogen density using Cu-metallic-core MOF. Both volumetric and gravimetric hydrogen uptake amounts were predicted by calculation. The potential of hydrogen uptake was verified by comparing with IRMOF-1 as a representative of MOF materials.</p></sec>
<sec sec-type="results|discussion">
<label>2.</label>
<title>Results and Discussion</title>
<sec sec-type="methods">
<label>2.1.</label>
<title>Designed MOF</title>
<p>First, we analyzed various properties, including hydrogen adsorption sites, specific surface area and the amount of hydrogen adsorption for a well-known MOF (IRMOF-1 [<xref ref-type="bibr" rid="b15-polymers-03-02133">15</xref>]) in order to predict suitable structures for hydrogen adsorption. Neutron diffraction measurements were performed to obtain adsorption sites; the result showed that the main sites were around the metallic cores [<xref ref-type="bibr" rid="b16-polymers-03-02133">16</xref>]. Taking advantage of its design flexibility, the MOF structure shown in [<xref ref-type="fig" rid="f1-polymers-03-02133">Figure 1(a)</xref>], Cu<sub>2</sub>(3,5-pyridinedicarboxylate)<sub>2</sub> (=Cu<sub>2</sub>PDC<sub>2</sub>), was designed specifically for target of supporting high volumetric and gravimetric hydrogen uptake. The structure of Cu<sub>2</sub>PDC<sub>2</sub> is based on a basic framework of Cu and bent PDC [<xref ref-type="fig" rid="f1-polymers-03-02133">Figure 1(b)</xref>]. This basic framework connects two-dimensionally to form a sheet with two types of pores with sizes of approximately 6 and 11 Å [<xref ref-type="fig" rid="f1-polymers-03-02133">Figure 1(c)</xref>]. Cu and N in some PDC bond to form an ABAB stacking in the third dimension [<xref ref-type="fig" rid="f1-polymers-03-02133">Figure 1(d)</xref>]. The space group of the three-dimensional structure is <italic>P6</italic><sub>3</sub><italic>mc</italic>. The A and B layers are rotated at an angle of 60° when viewed from the c-axis, and in consequence, each type of pore is connected through without closure [<xref ref-type="fig" rid="f1-polymers-03-02133">Figure 1(c)</xref>-right]. These pores become hydrogen diffusion path. One type of pore, shown as A in <xref ref-type="fig" rid="f1-polymers-03-02133">Figure 1(c)</xref>, changes its diameter continuously from 6 to 11 Å, and the other pore B has a diameter of 6 Å and they are both connected to each other. The ratio of pore A and pore B concentration is A/B = 2. <xref ref-type="table" rid="t1-polymers-03-02133">Table 1</xref> shows the density of adsoption sites, pore ratio, and adsorption energy estimated from the crystal structure of Cu<sub>2</sub>PDC<sub>2</sub>. Adsorption energies were calculated [<xref ref-type="bibr" rid="b17-polymers-03-02133">17</xref>-<xref ref-type="bibr" rid="b19-polymers-03-02133">19</xref>] with first principle calculations based on density functional theory [<xref ref-type="bibr" rid="b20-polymers-03-02133">20</xref>]. The pore volume is estimated to be less than 0.5 cm<sup>3</sup> g<sup>−1</sup>, and the volumetric density of adsorption sites was targeted to be twice of that of IRMOF-1. While the crystal structure itself is porous, the atomic positions are precisely determined, and the pore ratio is approximately 1/2. Furthermore, as the adsorption energy of hydrogen is higher than that for IRMOF-1, an increase in adsorption per volume is expected.</p>
<p>The following are the characteristics of Cu<sub>2</sub>PDC<sub>2</sub> that we designed to provide improved hydrogen storage properties: (1) The metallic cores, which are major adsorption sites [<xref ref-type="bibr" rid="b16-polymers-03-02133">16</xref>], were placed with a high volumetric density. The use of long linker ligands in conventional MOFs to increase specific surface area [<xref ref-type="bibr" rid="b15-polymers-03-02133">15</xref>] lead a decrease of volumetric hydrogen uptake; (2) Linkers containing N were used to localize electrons to increase the adsorption energy; (3) A paddle wheel-shaped structure that exposes much of the metallic core was selected; (4) ABAB stacking was chosen to stabilize the exposed metallic core sites as open sites. Finally, Bent linkers were used (5) to form a triangular pore structure to connect pores and (6) to form a triangular paddle-wheel structure (For details of the MOF design process, see <xref ref-type="supplementary-material" rid="SD1">Section S1 in ESI</xref>).</p></sec>
<sec>
<label>2.2.</label>
<title>Characterization</title>
<p>The Cu<sub>2</sub>PDC<sub>2</sub> metal complex was synthesized from copper acetate and PDC as precursors. (For details of the synthesis process, see Experimental Section) SEM image of the synthesized Cu<sub>2</sub>PDC<sub>2</sub> crystal is provided in <xref ref-type="fig" rid="f2-polymers-03-02133">Figure 2</xref>. The crystals are hexagonal prisms which reflect the <italic>P6</italic><sub>3</sub><italic>mc</italic> symmetry of the framework. The XRPD result of synthesized crystal measured in SPring-8 indicates almost the same diffraction pattern based on <xref ref-type="fig" rid="f1-polymers-03-02133">Figure 1</xref> structure (<xref ref-type="fig" rid="f3-polymers-03-02133">Figure 3</xref>). Furthermore, the XRPD diffraction peak positions detected with high intensity X-rays at SPring-8 was almost a perfect match to the positions of simulated diffracted peaks [<xref ref-type="fig" rid="f3-polymers-03-02133">Figure 3(b)</xref>], implying an extremely high purity of the sample. Rietveld refinement showed the spectrum is best approximated by a perfect structure with no defects, implying the crystal has very few defects. The difference in peak intensity of the spectrum obtained with XRPD and the simulated spectrum was derived from residual solvents such as DMF in the pores (For details on XRPD and the Rietveld refinement see <xref ref-type="supplementary-material" rid="SD1">Sections S6, S7 in ESI</xref>).</p>
<p>The specific surface area and pore diameters were measured with an ASAP2020 (Shimadzu, Japan) apparatus. The measured specific surface area was 1,003 m<sup>2</sup> g<sup>−1</sup> using the BET method, and 1,033 m<sup>2</sup> g<sup>−1</sup> with the Langmuir adsorption isotherm. The median cylindrical pore diameter based on the Horvath-Kawazoe method [<xref ref-type="bibr" rid="b21-polymers-03-02133">21</xref>,<xref ref-type="bibr" rid="b22-polymers-03-02133">22</xref>] was 8.9 Å. The specific surface area is relatively high because the crystal is porous, but is lower than that of MOFs designed to have a high specific area [<xref ref-type="bibr" rid="b23-polymers-03-02133">23</xref>-<xref ref-type="bibr" rid="b26-polymers-03-02133">26</xref>]. Pore diameters in theory are 6 and 11 Å, respectively. However the measured value takes an intermediate value of the two diameters.</p></sec>
<sec>
<label>2.3.</label>
<title>Hydrogen Storage</title>
<p>The amount of hydrogen uptake is obtained from a pressure-composition-temperature (PCT) measurement (Suzuki Shokan Co., Ltd., Japan, PCT measurement apparatus). <xref ref-type="fig" rid="f4-polymers-03-02133">Figure 4(a)</xref> shows the amount of hydrogen uptake at 293 K (wt %), and <xref ref-type="fig" rid="f4-polymers-03-02133">Figure 4(b)</xref> gives the mass of hydrogen uptake per unit volume of the crystal at 293 K (g L<sup>−1</sup>). The maximum hydrogen uptake is 0.77 wt % at 8.92 MPa from [<xref ref-type="fig" rid="f4-polymers-03-02133">Figure 4(a)</xref>]. The hydrogen uptake of the proposed material is clearly higher than that of conventional IRMOF-1 (dashed line), proving that our design strategy was successful. <xref ref-type="fig" rid="f4-polymers-03-02133">Figure 4(b)</xref> indicates that the maximum mass of adsorbed hydrogen was 9.23 g L<sup>−1</sup>, twice of that of IRMOF-1. This is an extremely high value for a physisorption material. High hydrogen uptake per unit volume significantly contributes to reducing the volume of the tank of vehicles (Hydrogen uptake considering in-vehicle condition and low temperature storage properties are explained in <xref ref-type="supplementary-material" rid="SD1">Sections S4-a and S4-b in ESI</xref>).</p>
<p>The adsorption energy of Cu<sub>2</sub>PDC<sub>2</sub> based on a van't Hoff plot of adsorption isotherms at various temperatures was 6.0 kJ mol<sup>−1</sup>, which is approximately 1 kJ mol<sup>−1</sup> larger than IRMOF-1 (<xref ref-type="table" rid="t1-polymers-03-02133">Table 1</xref>). The adsorption energy was smaller than that we originally predicted. However, the adsorption energy is essentially same as predicted, that means larger than that of IRMOF-1.</p>
<p>The hydrogen uptake per unit volume of Cu<sub>2</sub>PDC<sub>2</sub> seen in [<xref ref-type="fig" rid="f4-polymers-03-02133">Figure 4(b)</xref>] is double of that of IRMOF-1 although the specific surface area is about 1,000 m<sup>2</sup> g<sup>−1</sup>, one-third to one-fourth of IRMOF-1. Both volumetrically and gravimetrically high uptakes are considered to be the two-fold increasing in adsorption sites per unit volume, the high adsorption energy, and in hydrogen adsorption efficiency by continuous combination of small and large pore sizes.</p></sec></sec>
<sec>
<label>3.</label>
<title>Experimental Section</title>
<sec>
<label>3.1.</label>
<title>Cu<sub>2</sub>PDC<sub>2</sub> Synthesis</title>
<p>The proposed Cu<sub>2</sub>PDC<sub>2</sub> metal complex was synthesized by combining 9.89 mL of DMF(CAS No.68-12-2), 51.3 mg of copper(II) acetate monohydrate (CAS No.6046-93-1), and 85.9 mg of PDC (3,5-pyridinedicarboxylic Acid; CAS No.499-81-0) and performing ultrasonic dissolution. Crystals were obtained by adding 0.11ml of acetic acid (CAS No.64-19-7) and keeping at 70 °C for one week. Repeated solvent replacement with CHCl<sub>3</sub> (trichloromethane; CAS No.67-66-3) was conducted to remove guest molecules. The obtained crystals were relatively uniform, with length slightly less than 100 μm and width approximately 50 μm.</p>
<p>The Cu<sub>2</sub>PDC<sub>2</sub> crystal structure has been deposited at The Cambridge Crystallographic Data Centre as CCDC 791274.</p>
<p>Crystal data details for Cu<sub>2</sub>PDC<sub>2</sub>:
<list list-type="simple">
<list-item>
<p>Empirical Formula; H<sub>9</sub>Cu<sub>2</sub>O<sub>10.80</sub>N<sub>2</sub>C<sub>14</sub> (with some guest solutions)</p></list-item>
<list-item>
<p>Formula Weight; 505.12</p></list-item>
<list-item>
<p>Crystal Colour; emerald green</p></list-item>
<list-item>
<p>Crystal Dimensions; 0.05 × 0.03 × 0.02 mm</p></list-item>
<list-item>
<p>Crystal System; hexagonal</p></list-item>
<list-item>
<p>Lattice Parameters; a = 18.9975(10) Å, c = 13.4566(9) Å</p></list-item>
<list-item>
<p>Space Group; <italic>P6</italic><sub>3</sub><italic>mc</italic> (#186)</p></list-item>
<list-item>
<p>D<sub>calc</sub>; 1.196 g cm<sup>−3</sup></p></list-item></list></p></sec></sec>
<sec sec-type="conclusions">
<label>4.</label>
<title>Conclusions</title>
<p>MOF hydrogen adsorbents for specific use in vehicle applications should be designed according to the following characteristic criteria: (1) Hydrogen uptake should be increased not only by increasing the specific surface area per unit weight, but also by increasing both the volumetric and gravimetric uptake density, in other words by increasing the hydrogen adsorption site density as much as possible; (2) The dead space in the MOF should be minimized, which can be achieved by reducing the number of atoms in the metallic core; (3) Hetero rings or atoms with high electronegativity are introduced to increase electron localization for further improvement in adsorption energetics; (4) Enough and suitable space for hydrogen diffusion should be secured by reducing pores that become dead space and increasing diffusion speed.</p>
<p>It is expected that property prediction using computational simulation and a sophisticated analysis at the micro and nano level, will become an indispensable tool in determining these criteria and designing functional materials.</p></sec>
<sec sec-type="supplementary-material">
<title>Supplementary Material</title>
<supplementary-material id="SD1" content-type="local-data">
<media mimetype="application" mime-subtype="pdf" xlink:href="polymers-03-02133-s001.pdf"/></supplementary-material></sec></body>
<back>
<sec sec-type="display-objects">
<title>Figures and Table</title>
<fig id="f1-polymers-03-02133" position="float">
<label>Figure 1.</label>
<caption>
<p>(<bold>a</bold>) Overall view of Cu<sub>2</sub>PDC<sub>2</sub> (left) and the unit cell (right). The space group is <italic>P6</italic><sub>3</sub><italic>mc</italic>; (blue; nitrogen, red; oxygen, gray; carbon, orange; copper) (<bold>b</bold>) The structure of Cu<sub>2</sub>PDC<sub>2</sub>. The two figures are the same structure from different angle; (<bold>c</bold>) Pores observed from the c-axis (left) and from the a-axis (right). The blue portions indicate pores in the figure to the right. Pore A consists of holes with φ = ∼11 Å and φ = ∼6 Å. Pore B is made up of holes with φ = ∼6 Å; (<bold>d</bold>) The A-B stacking sequence. The rectangle shows single layer.</p></caption>
<graphic xlink:href="polymers-03-02133f1.gif"/></fig>
<fig id="f2-polymers-03-02133" position="float">
<label>Figure 2.</label>
<caption>
<p>SEM image of the synthesized Cu<sub>2</sub>PDC<sub>2</sub> crystals.</p></caption>
<graphic xlink:href="polymers-03-02133f2.gif"/></fig>
<fig id="f3-polymers-03-02133" position="float">
<label>Figure 3.</label>
<caption>
<p>XPRD spectrum of synthesized Cu<sub>2</sub>PDC<sub>2</sub> crystals. (<bold>a</bold>) (Top) Diffraction pattern measured by SPring-8. (Bottom) Simulated pattern. FWHM = 0.05. λ = 1.54056 Å; (<bold>b</bold>) Highly magnified image of the low intensity area of (a). Slight differences in peak positions are caused by differences in the lattice parameters between the actual crystal and a model crystal optimized by an LDA calculation [<xref ref-type="bibr" rid="b17-polymers-03-02133">17</xref>-<xref ref-type="bibr" rid="b20-polymers-03-02133">20</xref>]. Measured peaks show a nearly one-to-one correspondence with the simulated peaks.</p></caption>
<graphic xlink:href="polymers-03-02133f3.gif"/></fig>
<fig id="f4-polymers-03-02133" position="float">
<label>Figure 4.</label>
<caption>
<p>Hydrogen uptake properties of synthesized Cu<sub>2</sub>PDC<sub>2</sub>. (<bold>a</bold>) Gravimetric uptake at 293 K, 10 MPa; (<bold>b</bold>) Volumetric uptake at 293 K, 10 MPa. Values for IRMOF-1 are shown for comparison (dashed line).</p></caption>
<graphic xlink:href="polymers-03-02133f4.gif"/></fig>
<table-wrap id="t1-polymers-03-02133" position="float">
<label>Table 1.</label>
<caption>
<p>The calculated and experimentally measured density of adsorption sites, pore ratio, and adsorption energy in Cu<sub>2</sub>PDC<sub>2</sub> and IRMOF-1.</p></caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="center" valign="top"/>
<th align="center" valign="top"><bold>Density of adsorption site/nm<sup>−3</sup></bold></th>
<th colspan="2" align="center" valign="top"><bold>Pore ratio/cc cc <sup>−1</sup></bold></th>
<th colspan="2" align="center" valign="top"><bold>Adsorption energy/kJ mol<sup>−1</sup></bold></th></tr>
<tr>
<th valign="bottom" colspan="6">
<hr/></th></tr>
<tr>
<th align="center" valign="top"/>
<th align="center" valign="top">Calc. <sup>[</sup><xref ref-type="table-fn" rid="tfn2-polymers-03-02133">b</xref><sup>,</sup><xref ref-type="table-fn" rid="tfn4-polymers-03-02133">d</xref><sup>]</sup></th>
<th align="center" valign="top">Calc. <xref ref-type="table-fn" rid="tfn3-polymers-03-02133">[c]</xref></th>
<th align="center" valign="top">Exp. <xref ref-type="table-fn" rid="tfn4-polymers-03-02133">[d]</xref></th>
<th align="center" valign="top">Calc. <xref ref-type="table-fn" rid="tfn1-polymers-03-02133">[a]</xref></th>
<th align="center" valign="top">Exp. <xref ref-type="table-fn" rid="tfn4-polymers-03-02133">[d]</xref></th></tr></thead>
<tbody>
<tr>
<td align="center" valign="top">IRMOF-1</td>
<td align="center" valign="top">3.8</td>
<td align="center" valign="top">0.77</td>
<td align="center" valign="top">0.86</td>
<td align="center" valign="top">−9.4</td>
<td align="center" valign="top">−4.8</td></tr>
<tr>
<td align="center" valign="top">Cu<sub>2</sub>PDC<sub>2</sub></td>
<td align="center" valign="top">8.9</td>
<td align="center" valign="top">0.50</td>
<td align="center" valign="top">0.49</td>
<td align="center" valign="top">−16.5</td>
<td align="center" valign="top">−6.0</td></tr></tbody></table>
<table-wrap-foot><fn id="tfn1-polymers-03-02133">
<label>[a]</label>
<p>Calculations for typical adsorption sites. The value is the average for all estimated sites The adsorption energy tends to be overestimated in DFT calculations [<xref ref-type="bibr" rid="b16-polymers-03-02133">16</xref>] (see <xref ref-type="supplementary-material" rid="SD1">Section S2 in ESI</xref>);</p></fn><fn id="tfn2-polymers-03-02133">
<label>[b]</label>
<p>Calculated for typical sites with large adsorption energy;</p></fn><fn id="tfn3-polymers-03-02133">
<label>[c]</label>
<p>Calculated from Connoly surface basis with Accelrys Materials Studio;</p></fn><fn id="tfn4-polymers-03-02133">
<label>[d]</label>
<p>See <xref ref-type="supplementary-material" rid="SD1">Section S3 in ESI</xref>.</p></fn></table-wrap-foot></table-wrap></sec>
<ack>
<p>XRPD measurements with synchrotron radiation were conducted as an industrial user on BL19B2, SPring-8. We thank Yaghi at UCLA for sincere advice on metal complexes in general, Mori at Kanagawa University for kind consultation on synthesizing the metal complexes, and Li at MIT for supporting the first principal calculations.</p></ack>
<ref-list>
<title>References and Notes</title>
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