Negative Linear Compressibility Due to Layer Sliding in a Layered Metal-Organic Framework

Negative linear compressibility from helix in zinc carbodiimide

Zinc carbodiimide, Zn(CN2), exhibits negative linear compressibility (NLC) along the c-axis under hydrostatic pressure. Density functional theory calculations indicate that at high pressure, the a- and b-axes shrink, while the infinite -Zn-N-C-N- helical chains elongate through inter-chain Zn-N bonds, leading to expansion of the crystal along the c-axis.

Negative linear compressibility of molecular and ionic-molecular crystals

The compressibility of crystalline tetrabromophthalic anhydride (TBPA) and 1-ethyl-3-methylimidazolium nitrate (EMN) was studied based on density functional theory including dispersion interactions at pressures below 1 GPa. It is found for the first time that EMN demonstrates negative linear compressibility (NLC) up to ∼0.15 GPa, whereas TBPA shows significant NLC at pressures higher than ∼0.2 GPa. Mechanisms of the negative linear compressibility of TBPA and EMN at the microscopic (molecular) level have been found for the first time. It was shown that NLC correlates with a baric change of spatial orientation (rotation) and linear dimensions of molecular structural units relative to crystallographic axes, as well as with a baric increase of intermolecular distances along the NLC direction. Quantum topological analysis of electron density was used to study intermolecular interactions. It has been established that TBPA and EMN crystals are optically transparent for visible light at pressures up to 1 GPa.

Hydrogen-bond-modulated negative linear compressibility in a V-shaped molecular crystal

A material with the "hidden" negative linear compressibility (NLC) will expand along a specific crystal direction upon uniformly compression to a critical pressure; such materials are thought to be promising candidates for non-linear actuators, switches and sensors. Herein, we use density functional theory (DFT) calculations to uncover the hidden NLC in a V-shaped molecular crystal, bis(5-amino-1,2,4-triazol-3-yl)methane (BATZM). The calculations indicate that the crystal is normally compressed over the pressure range of 0-3 GPa while it expands along the b-axis when the external hydrostatic pressure exceeds 3 GPa. The compressive behavior of the BATZM crystal is modulated by inter-molecular hydrogen bonds, which act as highly compressible springs at low pressures but robust struts at high pressures. Hence, the crystal prefers to compress the hydrogen bonds coupled with PLC at first and flatten the molecules, coupled with later NLC to resist the increasing external pressure. The compressive behavior of BATZM provides a strategy to design more hidden NLC materials via the rational use of the hydrogen bonds.

Dimensionality Mediated Highly Repeatable and Fast Transformation of Coordination Polymer Single Crystals for All-Optical Data Processing

A family of coordination polymers (CPs) based on dynamic structural elements are of great fundamental and commercial interest addressing modern problems in controlled molecular separation, catalysis, and even data processing. Herein, the endurance and fast structural dynamics of such materials at ambient conditions are still a fundamental challenge. Here, we report on the design of a series of Cu-based CPs [Cu(bImB)Cl₂] and [Cu(bImB)₂Cl₂] with flexible ligand bImB (1,4-bis(imidazol-1-yl)butane) packed into one- and two-dimensional (1D, 2D) structures demonstrating dimensionality mediated flexibility and reversible structural transformations. Using the laser pulses as a fast source of activation energy, we initiate CP heating followed by anisotropic thermal expansion and 0.2-0.8% volume changes with the record transformation rates from 2220 to 1640 s^-1 for 1D and 2D CPs, respectively. The endurance over 10³ cycles of structural transformations, achieved for the CPs at ambient conditions, allows demonstrating optical fiber integrated all-optical data processing.

Abnormal Compressive Behaviors of Metal-Organic Frameworks under Hydrostatic Pressure

Intuition indicates that materials will contract in all crystal directions under hydrostatic pressure, i.e., all of their axes exhibit positive linear compressibility (PLC) when uniformly compressed. However, some exceptions have been found to exhibit negative linear compressibility (NLC), negative area compressibility (NAC), zero linear compressibility (ZLC), or zero area compressibility (ZAC); these materials are thought to have promising applications under high-pressure conditions, such as would be needed for highly sensitive pressure detectors and deep-sea optical devices. In this Perspective, we summarize the four kinds of abnormal compressive behaviors of MOFs under hydrostatic pressure, including the mechanisms and effects of guest, PTM, and metal atomic radius, which we hope to be helpful to develop practical future application of abnormal compressive materials.

Negative Linear Compressibility in Organic-Inorganic Hybrid Perovskite [NH2NH3]X(HCOO)3 (X = Mn, Fe, Co)

Hybrid organic-inorganic perovskites [NH₂NH₃][X(HCOO)₃] (X = Mn, Fe, Co) have a so-called "wine-rack" type of geometry that could give origin to the rare property of negative linear compressibility, which is an exotic and highly desirable material response. We use first-principles density functional theory computations to probe the response of these materials to hydrostatic pressure and predict that, indeed, all three of them exhibit negative linear compressibility above a critical pressure of 1 GPa. Calculations reveal that, under pressure, XO₆ octahedra and -HCOO ligands remain relatively rigid while XO₆ octahedra tilt significantly, which leads to highly anisotropic mechanical properties and expansion along certain directions. These trends are common for the three materials considered.

MOFs in the time domain

Many of the proposed applications of metal-organic framework (MOF) materials may fail to materialize if the community does not fully address the difficult fundamental work needed to map out the 'time gap' in the literature - that is, the lack of investigation into the time-dependent behaviours of MOFs as opposed to equilibrium or steady-state properties. Although there are a range of excellent investigations into MOF dynamics and time-dependent phenomena, these works represent only a tiny fraction of the vast number of MOF studies. This Review provides an overview of current research into the temporal evolution of MOF structures and properties by analysing the time-resolved experimental techniques that can be used to monitor such behaviours. We focus on innovative techniques, while also discussing older methods often used in other chemical systems. Four areas are examined: MOF formation, guest motion, electron motion and framework motion. In each area, we highlight the disparity between the relatively small amount of (published) research on key time-dependent phenomena and the enormous scope for acquiring the wider and deeper understanding that is essential for the future of the field.

Negative Linear Compressibility in [NH3NH2]Co(HCOO)3 and Its Structural Origin Revealed from First Principles

First-principles density functional theory computations are used to predict negative linear compressibility in hybrid organic-inorganic perovskite [NH₂NH₃][Co(HCOO)₃]. Negative linear compressibility is a rare exotic response of a material to pressure associated with expansion along one or two lateral directions. Detailed structural analysis revealed that [NH₂NH₃][Co(HCOO)₃]  responds to pressure through tilting of its relatively rigid units, CoO₆ polyhedra, and (HCOO)^-1 ligand chain. The (HCOO)^-1 units form a "wine-rack" geometry which is well described with the "strut-hinge" model. Within the model, the struts are formed by the rigid units, while hinges are their relatively flexible interconnects. Under pressure, the hinge angle increases which leads to the expansion along the direction subtended by the angle. Interestingly, at zero pressure the linear compressibilities in [NH₂NH₃][Co(HCOO)₃]  are all positive. As pressure increases, the lowest linear compressibility value turns negative and increases in magnitude. Comparison with the literature suggests that such a trend is likely to be common to this family of materials. Mechanical properties of [NH₂NH₃][Co(HCOO)₃]  are highly anisotropic.

Negative linear compressibility in nanoporous metal-organic frameworks rationalized by the empty channel structural mechanism

Zinc squarate tetrahydrate (ZnC₄O₄·4H₂O) and titanium oxalate trioxide dihydrate (Ti₂(C₂O₄)O₃·2H₂O) are nanoporous metal-organic frameworks possessing empty channels in their crystal structures. The crystal structures and mechanical properties of these materials are studied using first principles solid-state methods based on Density Functional Theory. The results show that they exhibit the negative linear compressibility (NLC) and negative Poisson's ratio (NPR) phenomena. The absolute value of the negative compressibilities are significant and the range of pressure for which NLC effects are shown is very wide. The detailed study of the deformation of the crystal structures under pressure reveals that the NLC effect in these compounds can be rationalized using the empty channel structural mechanism. Under isotropic compression, the channels are elongated along the direction of minimum compressibiity, leading to NLC. Furthermore, under compression along the direction of minimum compressibity, the unit-cell volume increases leading to negative volumetric compressibilty. The effect of hydration on the NLC effect in titanium oxalate trioxide dihydrate is investigated by studying the parent compound titanium oxalate trioxide trihydrate (Ti₂(C₂O₄)O₃·3H₂O). The NLC effect in this material is reduced due to the reinforcement of the walls of the structural channels.

Stimuli-Responsive Luminescent Properties of Tetraphenylethene-Based Strontium and Cobalt Metal-Organic Frameworks

Herein we report two new TPE-based 3D MOFs, that is, Sr-ETTB and Co-ETTB (TPE=Tetraphenylethylene, H₈ ETTB=4',4''',4''''',4'''''''-(ethene-1,1,2,2-tetrayl)tetrakis(([1,1'-biphenyl]-3,5-dicarboxylic acid))). Through tailoring outer shell electron configurations of Sr^II and Co^II cations, the fluorescence intensity of the MOFs is tuned from high emission to complete non-emission. Sr-ETTB with strong blue fluorescence shows reversible fluorescence variations in response to pressure and temperature, which is directly related to the reversible deformation of the crystal structure. In addition, non-emissive Co-ETTB counterpart exhibits a turn-on fluorescent enhancement under the stimulation of analyte histidine. In the process, TPE-cored linkers in the MOFs are released through competitive coordination substitution and subsequently reassembled to perform aggregation-induced luminescence behavior originated from the organic linkers.

Thinking about the Development of High-Pressure Experimental Chemistry

High-pressure chemistry is an interdisciplinary science which uses high-pressure experiments and theories to study the interactions, reactions, and transformations among atoms or molecules. It has been extensively studied thus far and achieved rapid development over the past decades. However, what is next for high-pressure chemistry? In this Perspective, we mainly focus on the development of high-pressure experimental chemistry from our own viewpoint. An overview of the series of topics is as follows: (I) high pressure used as an effective tool to help resolve scientific disputes regarding phenomena observed under ambient conditions; (II) high-pressure reactions of interest to synthetic chemists; (III) utilizing chemical methods to quench the high-pressure phase; (IV) using high pressure to achieve what chemists want to do but could not do; (V) potential applications of in situ properties under high pressure. This Perspective is expected to offer future research opportunities for researchers to develop high-pressure chemistry and to inspire new endeavors in this area to promote the field of compression chemistry science.

Colossal Negative Linear Compressibility in Porous Organic Salts

Negative linear compressibility (NLC) is a common sense violation (that is, crystal phases expand in one or more directions under hydrostatic compression). The excellent NLC performance of crystal materials is intrinsically related to the geometric structure of its skeleton. Here, we discovered a crystalline porous organic salt (CPOS-1); high-pressure X-ray diffraction experiments reveal that the CPOS-1 shows colossal NLC (K_c = -90.7 T Pa^-1) behavior along the c axis. This incredible performance arises from the flexible "supramolecular spring" formed by the charge-enhanced N-H⁺···^-O-S hydrogen bond interaction between the anionic sulfonate and the cationic ammonium ion. Furthermore, we reveal the relationship between this rare NLC behavior and single crystal proton conductivity using high-pressure electrochemical impedance spectroscopy (EIS) method. We believe that NLC behavior research on such inexpensive and readily available porous organic materials is of great significance for accelerating the research and application of NLC materials, especially in organic system.

Systematic exploration of the mechanical properties of 13 621 inorganic compounds

In order to better understand the mechanical properties of crystalline materials, we performed a large-scale exploration of the elastic properties of 13 621 crystals from the Materials Project database, including both experimentally synthesized and hypothetical structures. We studied both their average (isotropic) behavior, as well as the anisotropy of the elastic properties: bulk modulus, shear modulus, Young's modulus, Poisson's ratio, and linear compressibility. We show that general mechanical trends, which hold for isotropic (noncrystalline) materials at the macroscopic scale, also apply "on average" for crystals. Further, we highlight the importance of elastic anisotropy and the role of mechanical stability as playing key roles in the experimental feasibility of hypothetical compounds. We also quantify the frequency of occurrence of rare anomalous mechanical properties: 3% of the crystals feature negative linear compressibility, and only 0.3% have complete auxeticity.

Anomalous Lattice Dynamics in AgC4N3: Insights From Inelastic Neutron Scattering and Density Functional Calculations

We have performed temperature dependent inelastic neutron scattering measurements to study the anharmonicity of phonon spectra of AgC4N3. The analysis and interpretation of the experimental spectra is done using ab-initio lattice dynamics calculations. The calculated phonon spectrum over the entire Brillouin zone is used to derive linear thermal expansion coefficients. The effect of van der Waals interaction on structure stability has been investigated using advanced density functional methods. The calculated isothermal equation of states implies a negative linear compressibility along the c-axis of the crystal, which also leads to a negative thermal expansion along this direction. The role of elastic properties inducing the observed anomalous lattice behavior is discussed.

Near Zero Area Compressibility in a Perovskite-Like Metal-Organic Frameworks [C(NH2)3][Cd(HCOO)3]

Materials with zero area compressibility (ZAC) can keep their crystal uncompressed in two specific directions upon uniform compression. High-pressure angle-dispersive X-ray powder diffraction (ADXRD) experiments reveal a ZAC phenomenon in the ab-plane in crystal of a formate-based perovskite, [C(NH₂)₃][Cd(HCOO)₃]. The ZAC behavior is ascribed to the unique rhombohedral [Cd(HCOO)₃]^- frameworks and confirmed by density functional theory (DFT) calculations. For the first time, a near ZAC single material is explicitly reported. This study opens up an exciting research field on pressure-resistant materials. We anticipate more ZAC materials to be discovered in the following explorations under the inspiration of this work.

Multi-Stimuli-Responsive Fluorescence Switching from a Pyridine-Functionalized Tetraphenylethene AIEgen

The discovery of the striking aggregation-induced emission (AIE) phenomenon has opened a new avenue for smart light-emitting materials. Herein, a new AIE luminogen (AIEgen), 1,1,2,2-tetrakis(4-((E)-2-(pyridin-2-yl)vinyl)phenyl)ethene (TP2VPE), has been designed and synthesized by introducing the vinylpyridine motifs into the tetraphenylethene backbone. The emission spectrum of the new obtained AIEgen crystalline material can be switched in response to not only mechanical grinding and hydrostatic compression but also the protonation effect with excellent reversibility and reproducibility. Single-crystal X-ray structural analysis disclosed the supramolecular porous channel structure, which provides a shrinkable volume to maintain the fluorescence emission upon high pressure. Furthermore, protonation-deprotonation of the pyridine moieties in TP2VPE has a significant effect on the frontier molecular orbitals as well as very distinctive emission characteristics upon acid and base stimuli. The dual-response performance and the ease of its preparation and renewal endow the material with potential applications in pressure and acid/alkali fluorescence sensing.