Hybrid glasses connect the emerging field of metal-organic frameworks (MOFs) with the glass formation, amorphization and melting processes of these chemically versatile systems. Though inorganic zeolites collapse around the glass transition and melt at higher temperatures, the relationship between amorphization and melting has so far not been investigated. Here we show how heating MOFs of zeolitic topology first results in a low density ‘perfect’ glass, similar to those formed in ice, silicon and disaccharides. This order–order transition leads to a super-strong liquid of low fragility that dynamically controls collapse, before a subsequent order–disorder transition, which creates a more fragile high-density liquid. After crystallization to a dense phase, which can be remelted, subsequent quenching results in a bulk glass, virtually identical to the high-density phase. We provide evidence that the wide-ranging melting temperatures of zeolitic MOFs are related to their network topologies and opens up the possibility of ‘melt-casting’ MOF glasses.
The microporous hybrid materials known as metal-organic frameworks (MOFs) consist of inorganic clusters or ions bridged by organic ligands in open, as well as dense three-dimensional arrays. The former are of great interest owing to their potential use in gas separation and storage, and the latter in multiferroic, conductive and drug/harmful waste encapsulation applications1,2,3. An important subset of MOFs, the zeolitic imidazolate frameworks (ZIFs), adopt similar network structures to zeolites (inorganic low-density frameworks of corner sharing SiO4 and AlO4 tetrahedra), and, in particular, undergo thermal and pressure-induced amorphization (loss of periodicity)4,5,6,7. High-density amorphous (HDA) inorganic glasses, along with low-density amorphous (LDA) states, of identical topologies to their parent crystalline phases have previously been identified via zeolite amorphization4,6.
Such LDA states are also referred to as ‘perfect’ glasses8, and were first observed by depressurizing pressure-induced HDA phases or desolvating crystalline structures in, for example, ice9, silicon10 and trehalose11. LDA phases are of scientific interest because of their location deep in the potential energy landscape (PEL)12,13, at similar potential energies to their crystalline equivalents. This is in contrast to HDA phases that share the same composition as their perfect glass LDA counterparts, have greater entropy as well as density, and are located higher in the PEL. Moreover, compared with HDA phases, LDA phases have unique mechanical properties12,14, which are connected to the formation of ultrastable glasses15. In particular, perfect glasses have been predicted to soften to super-strong liquids (low-density liquid (LDLs))8 above the glass transition temperature Tg in the supercooled state.
Experimentally, for most glass systems Tg∼2/3 Tm, defining the practical limits of the supercooled state12. For glasses with a well-defined Tg, but that happen to decompose on heating before they melt, this relationship offers the opportunity to project a ‘virtual melting point’ that can be compared with the actual melting points Tm of isomorphous systems that survive the transition at Tm from the supercooled to the liquid state.
The dynamic behaviour of a supercooled liquid is quantified through the fragility index, m, equation (1), which measures, on a reduced temperature scale, the activation energy of the viscosity η at the glass transition Tg (ref. 16). Tg is defined to occur when η reaches 1012 Pa.s. While silica is the strongest liquid among conventional glass-forming liquids, fragilities for some LDL phases fall between 12 (ref. 13) and 14 (ref. 17), endorsing them as super-strong liquids, the antecedents of perfect glasses7,12.
In the context of forming glasses from the collapse of zeolitic structures, the prospect was that this might lead to glasses sharing similar topology to precursor crystals12. Indeed the ordered nature of the LDA perfect (low entropy) glass phase was identified by the retention of the THz features defining zeolitic topology when the majority of the starting crystal had amorphized6. This was in contrast to the eventual emergence of a featureless boson peak at higher temperatures, typical of less well-ordered conventional higher entropy HDA glasses12. Glass transition temperatures of LDA phases were found to be significantly greater than HDA phases with fragilities in the super-strong range4,13. Finally, by combining temperature- and pressure (P)-induced amorphization experiments, a critical point was identified at negative pressure13 and a negative dT/dP slope for the LDL–high-density liquid (HDL) transition. Considering the Clapeyron relation, dT/dP=ΔV/ΔS, if dT/dP is negative, an increase in entropy (S) signifies a decrease in volume (V) and increase in density, endorsing the LDA and HDA assignments that had been made.
In the present work, we turn our attention to MOFs, research of the glassy behaviour of which is scarce18,19. Specifically, we contrast ZIF-4 [Zn(C3H3N2)2] with ZIF-8 [Zn(C4H5N2)2] (ref. 20). We study the mechanism of amorphization of ZIF-4 by thermogravimetric analysis, differential scanning calorimetry (DSC), X-ray total scattering and in situ small- and wide-angle X-ray scattering (small angle X-ray scattering (SAXS)/wide angle X-ray scattering (WAXS)) experiments. Importantly, the different Tgs of the LDA, HDA and melt-quenched hybrid glass (MQG) reflect their differing depths in the PEL and the differences in fragility of the corresponding supercooled liquids. While ZIF-8 decomposes before it melts, the ‘virtual’ Tm discussed above can be calculated, lying close to the ‘real’ Tm of its inorganic counterpart. This suggests the dominance of network architecture in melting, characterized by collective THz vibrations6, in contrast to the simplistic interatomic variance condition for melting enshrined in Lindemann’s law21.
Differential scanning calorimetry
ZIF-4 collapses to an HDA phase, through formation of a LDA phase, before recrystallization into the dense ZIF-zni structure, which can be remelted. Quenching from below the decomposition temperature leads to the formation of a bulk MQG, virtually indistinguishable from the HDA phase, despite each having totally different thermal histories (Fig. 1). Tm for ZIF-4 lies close to that of an inorganic phosphate with a related zeolitic topology22. ZIF-8, on the other hand, adopts the sodalite structure, and does not thermally collapse, though amorphizes under pressure23.
Small and wide angle X-ray scattering
Variable temperature SAXS and WAXS measurements were performed to probe the mechanism of amorphization. The SAXS signal I(q)SAXS, which measures differences in local density12, crucially continues after the majority of Bragg diffraction disappears, the SAXS maximum extending to significantly higher temperatures (Fig. 2a,b and Supplementary Fig. 2), as found earlier for conventional zeolites13. In this case it supports the coexistence of LDA and HDA phases for the amorphization of a hybrid system, so-called polyamorphic phases identical in composition but different in density and entropy. In contrast to ZIF-4, the structural integrity of ZIF-8 was maintained throughout the heating process (Fig. 2c,d).
The DSC upscan curves of ZIF-4 (Fig. 3a, Supplementary Fig. 4) display endotherms (A) from release of framework templating N,N-dimethylformamide (DMF) , which does not cause framework collapse. An exothermic feature follows (D–F), which indicates LDA Tg (Fig. 3a) (confirmed by SAXS experiments, Fig. 3c). Above this temperature, the resultant LDL converts to a HDL (Fig. 3a F–H)—corresponding to the HDA phase heated above Tg (Fig. 3d). This order–disorder transition is similar to polyamorphic transitions in inorganic zeolites4,13 and glass-forming liquids12. Further heating results in recrystallization of HDL to ZIF-zni18. When the HDL is cooled to room temperature, after completion of the liquid–liquid transition (LLT), the HDA phase forms. This is confirmed by the occurrence of the glass transition at Tg=565 K during reheating of the HDA, which is significantly lower than LDA Tg=589 K (Fig. 3b), as found earlier in amorphizing inorganic zeolites. At the same time, the HDA–LDA LLT (H–C Fig. 3a) is not retraced at least with the DSC cooling rates currently available.
The various stages of amorphization are significantly heating rate dependent (Fig. 3b,c, Supplementary Fig. 4), from which the striking differences in fragility between HDL and LDL phases can be obtained (Fig. 4a). Remarkably, coexistence of LDA and HDA phases in the sample during amorphization is captured from double DSC scans (Fig. 3a,d), by progressively preheating to temperatures from desolvation, through collapse to the polyamorphic LDL–HDL transition (curves A–H in Fig. 3d). This can clearly be seen in curve D, where the endothermic response is followed by an exothermic one. The first relates to the Tg of the HDA phase already formed, with the second further collapse of ZIF-4 initiated at the Tg of LDA phase. The increase in the former follows the expected trend with increased pretreatment temperature, while the smaller but opposite trend in the latter suggests some increase in degrees of freedom as collapse advances. At coexistence (Fig. 3d) the 24 K difference between HDA and LDA glass transitions is reproduced. By comparison, single scanning (Fig. 3a), starting from ZIF-4 after solvent release, progresses consecutively through the respective transitions ZIF-4 to LDA (exothermic) and LDL–HDL (endothermic).
The large differences in viscosity of the glass-forming LDL and HDL phases can be quantified via Angell plots (log η versus Tg/T; Fig. 4a), with respective fragilities of m=14 and 41 resulting from use of structural relaxation times in SAXS (Fig. 3c) and DSC experiments (Supplementary Figs 5 and 6). Arrhenius ZIF-4→LDL collapse is hence what is expected for very strong liquids (m=14), while HDL (m=41) has intermediate fragility (Fig. 4a); this is in comparison to silica which is strong, the fragile anorthite and the very fragile triphenylethene. Given the melt fragility of silica (m=20) (Fig. 4a), the LDL phase (m=14) is referred to as a super-strong liquid8,12 and controls temperature induced collapse4.
ZIF-4 also collapses with pressure at room temperature between 0.35 GPa (P1) and 0.98 GPa (P2) (ref. 5), equivalent to thermal amorphization at ambient pressure between 603 K (T1) and 638 K (T2) (ref. 18). In accordance with prior work on zeolite instability, a T–P phase diagram similar in form to the two-liquid model of Rapoport4,24 is shown in Fig. 4b, constructed from P1, P2, T1 and T2 (refs 4, 13). These are the pressure and temperature amorphization limits for the collapse of ZIF-4 and approximate to the spinodal limits for LDA and HDA phases. The negative dT/dP slope and the increase in entropy through the LDA–HDA transition (Fig. 1b), as discussed earlier in the context of the Clapeyron relation and the amorphization of inorganic zeolites13, reaffirms the low and high densities of the ZIF-4 LDA and HDA phases. Furthermore, from the LDA–HDA excursion in Cp (E–G in Fig. 3a), the entropic rise between the two phases ΔSLDA–HDA (66 Jmol−1 K−1) yields through dT/dP=ΔVLDA–HDA/ΔSLDA–HDA a shrinkage of the molar volume of ZIF-4 (337 cm3) ΔVLDA–HDA of 10%. Following the line of enquiry in Fig. 4b, and extrapolating back the limits of the amorphization process, ZIF-4 LDA (P1→T1) and LDA–HDA (P2→T2), the LDA and HDA phases of ZIF-4 should become coexistent and identical at a critical point C at negative pressure, equivalent to what is observed in inorganic zeolites3,13, and indeed similar to that predicted for amorphous silicon25 and in yttria-alumina supercooled liquids26. Critical points are associated with a sharp increase in density fluctuations27, which, in Fig. 4b, will extend to ambient pressure, explaining the sharp peak in I(q)SAXS (Fig. 2a). The fact that the SAXS line shapes are closely Lorentzian is also consistent with the Ornstein–Zernike model for scattering close to critical points28.
The chemical structures of ZIF-4, HDA and MQG phases probed by X-ray total scattering data are shown in Supplementary Fig. 11. All of the pair distribution functions (PDFs, Fig. 1c) below 6 Å contain very similar sharp features, confirming the retention in HDA and MQG of the organic ligand and zinc tetrahedral coordination environments that characterize ZIF-4 (Fig. 1a). Given the similarity of MQG and HDA PDFs, along with the reconstructive transition from HDA to ZIF-zni18, we infer that some degree of Zn–N bond reconstruction occurs during amorphization and melting. Intriguingly, macroscopic flow of the melt into a non-porous glass (Brunauer-Emmett-Teller (BET) surface area of <5 m2 g−1) can be seen in scanning electron microscopy (SEM) and optical images (Fig. 1c, Supplementary Figs 7 and 8). The light brown color persists, even when oxygen is excluded from the reaction (Supplementary Fig. 9). At the same time 1H NMR data recorded on digested samples confirm that imidazolate ligands (Fig. 1a) remain largely intact (Supplementary Fig. 10).
The LDA glass transition temperature Tg (589 K) is extremely close to 2/3 Tm for ZIF=4 (866 K), and therefore complies with the empirical law found for many glasses29 (Fig. 4c). Interestingly, another MOF of Zn(Im)2 composition (ZIF-3), possesses the ‘dft’ zeolitic topology and undergoes identical amorphization and recrystallization to ZIF-4 (ref. 7). The inorganic cobalt phosphate framework DAF-2 (also adopting the ‘dft’ topology) is observed to melt at 873 K (ref. 22), indicating that frameworks with similar network topologies may exhibit similar melting behaviour, which may in turn be driven by collective THz modes6. In contrast, for Debye solids like dense minerals and metals, melting is activated by nearest neighbour rNN vibrations when √(Δr2NN)/rNN≥0.1—Lindemann’s Law21.
The 2/3’s Law, already well-established for molecular and network glass formers30,31 and extended in Fig. 4c to include oxide glasses, enables Tm to be projected from the LDA Tg, where zeolites and MOFs collapse. In particular, despite ZIF-8 undergoing thermal decomposition before melting (Fig. 1b), a ‘hypothetical’ Tg of 1,100 K, can be calculated from the relationship PAΔVA≈3RTg (refs 4, 7, 23), where PA is the amorphization collapse pressure and ΔVA the collapsed volume. Using Fig. 4c this projects a ‘virtual’ Tm for ZIF-8 at 1,650 K. The temperature, which in practice is not achieved before decomposition of the hybrid framework, lies close to Tm of the inorganic analogue (sodalite), which melts at 1,557 K. We postulate that, by this methodology, comparison of MOFs with their inorganic analogues should reveal candidates with achievable melting points and which could therefore form hybrid melt-quenched glasses like ZIF-4.
Fundamental to current understanding of the 2/3’s Law30,31 is the kinetic fragility of the melt m and its association with the thermodynamic variables: heat of fusion, Hm and the jump of the isobaric heat capacity (Cp) from the glass at Tg to its liquid state above Tg, ΔCp(Tg) viz, . Recognizing the relationship between melt fragility and Poisson’s ratio for the glass32, we have adapted this empirical relationship and recovered ΔCp values (Fig. 3a) measured for LDL and HDL phases (Supplementary Methods, Supplementary Table 1). In addition, considering the various enthalpy changes occurring during amorphization, crystallization and melting (Fig. 1, Supplementary Fig. 3), a schematic PEL incorporating ZIF-4, LDA, HDA and MQG is plotted in Fig. 4d. It shows strong similarity with the behaviour of zeolite-A and its polyamorphs (Fig. 4d)13. It also illustrates the likely common location of HDA and MQG in configuration space, reached by amorphization and by melt quenching, respectively.
Finally, we consider the fact that, for these current experiments, cooling of the HDL ZIF phase does not result in formation of the LDL phase, encountered on heating (Fig. 3a). In terms of potential energy, the LDA ZIF phase shares similarities with the ultrastable glass obtained by molecule-by-molecule coating15. This also has a Tg greater than that of its ‘normal’ HDA glass counterpart. On reheating the ultrastable glass is transformed into the normal glass state, though does not convert back to the ultrastable state within the cooling rates available using these techniques. This is also the same scenario observed in aged amber33. By contrast, the LDA ZIF-4 phase reported here coexists with the HDA phase (Fig. 3d). When ZIF-4 has fully released its solvent, its structural arrangement becomes looser, but still remains ordered with an unchanged potential energy. With further heating the structure of solvent-free ZIF-4 relaxes towards a more stable state and lower enthalpy level, enthalpy being released with formation of the LDL phase (Figs 1b and 4d). This behaviour is also common to anhydrous zeolites4,13, whose enthalpies all exceed those of conventional oxide glasses with the same composition34, reflecting the metastable nature of zeolitic crystals. When the temperature subsequently rises above Tg, the LDL phase spontaneously transforms into the HDL ZIF phase. Beyond that, the HDL phase is finally turned to a more stable ZIF-zni crystal phase.
This apparent irreversibility for the LLT described here for the amorphization of ZIF-4 is in contrast to the reversibility reported in ab initio Molecular Dynamics volume versus pressure calculations on zeolites35. With increasing pressure, zeolite-LDA followed by LDA–HDA first order transitions could also be retraced (albeit with some hysteresis) by reducing pressure, eventually including tension35. Some evidence for phase transition reversibility was found experimentally during the initial zeolite collapsing process13. Elsewhere, experiments on yttria-alumina melts, where the LDL and HDL phases formed in levitated liquid drops, were observed to fluctuate back and forth at the LLT26. Similar behaviour is confirmed both by the recent modelling of ST2 water36 and experimental work on mannitol37.
The apparent irreversibility of the LLT in ZIF-4 on current experimental timescales may lie kinetically in the inherent structural differences between hybrid and inorganic systems, in particular the comparative rigidity of the inter-tetrahedral bridging unit2. Compared with oxide melts and zeolites, for example, the floppy bridging oxygen is replaced by the rigid imidazolate bridge in ZIF-4 (Fig. 1a). This will influence differences in conformational changes involved in the order–disorder LDA–HDA transition that determines the HDA topology, and may not be kinetically symmetric. So, while the entropy of the HDA phase lies comparatively close to that of the low-density state (Figs 1b and 3a), and both phases can coexist on heating (Fig. 3d), the difference is that for systems like water36 and yttria-alumina melts26, that are readily reversible, these appear to fluctuate freely between separate free energy basins facilitated by pivotal inter-polyhedral bridges. In particular, where the LDL to HDL transition in ZIF-4 is thermodynamically controlled, the reverse process appears to be kinetically controlled, the dynamics being out of range using current experimental methods.
Comparisons between amorphization and melting conditions of MOFs and inorganics may provide further routes to more functional ‘perfect’ glasses, HDA and MQG phases. Furthermore, the in situ hybrid liquid formation discovered here opens up possibilities for liquid casting and shaping MOFs into a variety of different solid forms, promising to be an extremely exciting step forward in producing chemically functionalizable hybrid glass materials.
1.2 g of Zn(NO3)2·6H2O and 0.9 g of imidazole were dissolved in 90 ml of DMF and transferred into a 100 ml screw jar. The jar was tightly sealed and heated to 100 °C for 72 h in an oven. After cooling to room temperature colourless block-shaped crystals were filtered off and first washed three times with ∼30 ml pure DMF and then three times with ∼30 ml CH2Cl2. The HDA and quenched ZIF-zni used for the PDF experiments were formed by heating ZIF-4 to 573 and 865 K under an argon atmosphere using a ramp rate of 5 K min−1.
To investigate the effect of oxygen on the process, a 1 mm diameter quartz tube was loaded with a sample of crystalline ZIF-4, and sealed under vacuum. The capillary was then heated in a tube furnace under an argon flow, at a rate of 5 °C min−1, to 865 K. The final melt-quenched glass was not observed to differ from that attained in other experiments.
For SAXS and WAXS measurements, the crystals were gently stirred in 100 ml fresh CH2Cl2 overnight. Afterwards the solid material was filtered off, washed again three times with ∼30 ml fresh CH2Cl2 and dried in vacuo at 130 °C, using a vacuum oven to yield activated guest-free ZIF-4.
ZIF-8 was purchased from Sigma Aldrich and evacuated by heating at 100 °C for 3 h.
Room temperature X-ray total scattering data were collected at the I15 beamline at Diamond Light Source, UK, at a wavelength of λ=0.1722 Å. Finely powdered samples of ZIF-4, HDA and MQG samples were carefully loaded into 1.0 mm diameter fused silica capillaries, and data from an empty instrument and capillary were also collected for background subtraction. Data were collected between ∼0.5<Q<∼22 Å−1. Corrections for background, multiple scattering, container scattering, Compton scattering and absorption were applied. The normalized reciprocal space data (Supplementary Fig S1) were then converted to the PDFs using Fourier transform.
Temperature dependent in situ SAXS and WAXS measurements were performed on Beamline I22 at the Diamond Light Source synchrotron in the Rutherford Appleton Laboratory (Didcot, Oxfordshire, UK). Detector calibrations were carried out using NBS (National Bureau of Standards) silicon and silver behenate standards on the HOTWAXS 1D WAXS, and RAPID 2D SAXS, detectors respectively38,39.
Normalization for beam intensity and sample thickness and/or density variation was carried out using a diode embedded in the beamstop. Scattering data were recorded at a wavelength of 1 Å for angular range of up to 1° for SAXS and over a 2θ range of 5°–40° for WAXS. Powdered samples of ZIF-4 and ZIF-8 were loaded in glass capillaries and inserted horizontally through the Linkam furnace, which was positioned across the synchrotron radiation source. The Linkam furnace used was calibrated, finding the relationship TTrue=0.95 T (set point, C)+65. Raw data for temperature scanned SAXS ZIF-4 and ZIF-8 are shown in Supplementary Fig. 2. SAXS profiles were fitted to Lorentzian line shapes, , with the correlation length ξ increasing from ∼220 to ∼840 Å from the edge to the peak (Fig. 2a). Additional measurements accompanied by a detailed analysis will be given in a separate publication.
The apparent isobaric heat capacity (Cp) of each sample was measured using a Netzsch STA 449C DSC. The samples were placed in a platinum crucible situated on a sample holder of the DSC at room temperature and subjected to varying numbers of up- and down-scans, depending on the purpose of the measurements. After natural cooling to room temperature, the subsequent up-scans were performed using the same procedure as for the first.
Powder X-ray diffraction measurements on evacuated, guest-free ZIF-4 were recorded on a well ground sample with a Bruker D8 Advance powder diffractometer using CuKα radiation (λ=1.5418 Å) and a LynxEye position sensitive detector in Bragg–Brentano (θ−θ) geometry at room temperature. Pawley fit shown in Supplementary Fig. 11.
Microanalysis was performed at the Department of Chemistry, University of Cambridge as a technical service.
ZIF-4 evacuated. Calculated (based on Zn(C3H3N2)2 composition): C 36.18%, H 3.02%, N 28.14%. Found: C 36.22%, H 2.98%, N 28.09%
MOF glass. Calculated (based on Zn(C3H3N2)2 composition): C 36.18%, H 3.02%, N 28.14%. Found: C 35.64%, H 2.90%, N 26.46%
SEM images (Supplementary Fig. 7) were taken with an FEI Nova NanSEM (field emission gun). Specimens for SEM analysis were prepared by dispersing fragments of the ZIF-4 melt-quenched glass on conductive carbon tabs for topographic contrast imaging. Optical images of ZIF-4, ZIF-zni and recovered melt-quenched glass are shown in Supplementary Fig. 8.
Liquid phase 1H NMR spectra (Supplementary Fig. 10) of digested samples (DCl/D2O/DMSO-d6) of evacuated ZIF-4 and the ZIF-4 glass (∼5–10 mg) were recorded on a Bruker Avance DPX-250 spectrometer at 293 K in a mixture of DCl (35%)/D2O (0.1 ml) and DMSO-d6 (0.5 ml). Chemical shifts are given relative to tetramethylsilane and were referenced to the residual protio-solvent signals of DMSO-d6. The spectra were processed with the MestreNova Suite.
Nitrogen adsorption Brunauer-Emmett-Teller (BET) measurements were carried out at 77 K using a Micromeritics ASAP 2020 instrument.
How to cite this article: Bennett, T. D. et al. Hybrid glasses from strong and fragile metal-organic framework liquids. Nat. Commun. 6:8079 doi: 10.1038/ncomms9079 (2012).
The authors would like to thank Trinity Hall (T.D.B.); HRH Sheikh Saud Bin Saqr Al Qasimi (T.D.B. and A.K.C.); Wuhan University of Science and Technology (Y.Z.Y. and G.N.G.), ERC grant number 259619 PHOTO EM (C.D.); the Alexander von Humboldt Foundation (S.H.); The World Premier International Research Center Initiative on Materials Nanoarchitectronics (WPI-MANA) from MEXT, Japan (H.H.M.Y.). We acknowledge the provision of synchrotron access to Beamline I15 (exp. EE9691) and I22 (exp. SM5692) at the Diamond Light Source, Rutherford Appleton Laboratory UK. Dr Philip Chater (Diamond Light Source) and Andrew Cairns (Oxford) are thanked for assistance during the beamtime on I15, as is Professor David Keen (ISIS) for valuable assistance with the data analysis. Professor Seth Cohen and Xiao Yu (University California San Diego) are acknowledged for BET measurements.
Supplementary Figures 1-12, Supplementary Table 1, Supplementary Methods and Supplementary References
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