Hydrogen-bond-mediated structural variation of metal guanidinium formate hybrid perovskites under pressure

Negative linear compressibility exhibited by the hybrid perovskite [(NH2)3C]Er(HCO2)2(C2O4)

Extended framework materials with specific topologies can exhibit unusual mechanical behaviour, such as expanding in one direction under hydrostatic (uniform) pressure, known as negative linear compressibility (NLC). Here, two hybrid perovskite frameworks with winerack structures, a known NLC topology, are investigated under pressure. [C(NH2)3]Er(HCO2)2(C2O4) exhibits NLC from ambient pressure to 2.63(10) GPa and is the first reported NLC hybrid perovskite from ambient pressure. However, isostructural [(CH3)2NH2]Er(HCO2)2(C2O4) instead compresses relatively moderately along all axes before it undergoes a phase transition above 0.37(10) GPa. The differences in the mechanical properties can be interpreted from differences in host-guest interactions within these frameworks, primarily their hydrogen bond networks.

Synthesis and Magnetic Properties of the Multiferroic [C(NH2)3]Cr(HCOO)3 Metal-Organic Framework: The Role of Spin-Orbit Coupling and Jahn-Teller Distortions

We report for the first time the synthesis of [C(NH2)3]Cr(HCOO)3 stabilizing Cr2+ in formate perovskite, which adopts a polar structure and orders magnetically below 8 K. We discuss in detail the magnetic properties and their coupling to the crystal structure based on first-principles calculations, symmetry, and model Hamiltonian analysis. We establish a general model for the orbital magnetic moment of [C(NH2)3]M(HCOO)3 (M = Cr, Cu) based on perturbation theory, revealing the key role of the Jahn-Teller distortions. We also analyze their spin and orbital textures in k-space, which show unique characteristics.

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.

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.

Enhancing the chemical flexibility of hybrid perovskites by introducing divalent ligands

Herein we report the synthesis and structures of [(CH3)2NH2]Er(HCO2)2(C2O4) and [(NH2)3C]Er(HCO2)2(C2O4), in which the inclusion of divalent oxalate ligands allows for the exclusive incorporation of A+ and B3+ cations in an ABX3 hybrid perovskite structure for the first time. We rationalise the observed thermal expansion of these materials, including negative thermal expansion, and find evidence for weak antiferromagnetic coupling in [(CH3)2NH2]Er(HCO2)2(C2O4).

High pressure and elastic properties of a guanidinium-formate hybrid perovskite

The high pressure and elastic properties of a hybrid ABX₃-type perovskite, [C(NH₂)₃][Cd(HCOO)₃] (CdGF), based on the A-site guest molecules are revealed via combining the high-pressure synchrotron X-ray diffraction experiments with density functional theory (DFT) calculations. The experimental results indicate that the anisotropic axial compressibilities are K_a = 2.8(4) and K_c = 20.9(10) TPa^-1 within the pressure scope of 4.12 GPa, and calculations reveal the microscopic evolution of structure under pressure and demonstrate that this structural anisotropy is a consequence of the directional guest molecule and the cooperative effect of hydrogen bonding and octahedral tilting. In addition, full elastic constants of the perovskite were calculated to describe Young's moduli, shear moduli and Poisson's ratios. Notably, these discrete moduli are governed by the orientational guest molecule suggesting that the perovskite may display positive (negative) linear compression if it is flexible (rigid) along one principal axis.

Effect of Alkali and Trivalent Metal Ions on the High-Pressure Phase Transition of [C2H5NH3]MI 0.5MIII 0.5(HCOO)3 (MI = Na, K and MIII = Cr, Al) Heterometallic Perovskites

We report the high-pressure behavior of two perovskite-like metal formate frameworks with the ethylammonium cation (EtAKCr and EtANaAl) and compare them to previously reported data for EtANaCr. High-pressure single-crystal X-ray diffraction and Raman data for EtAKCr show the occurrence of two high-pressure phase transitions observed at 0.75(16) and 2.4(2) GPa. The first phase transition involves strong compression and distortion of the KO₆ subnetwork followed by rearrangement of the -CH₂CH₃ groups from the ethylammonium cations, while the second involves octahedral tilting to further reduce pore volume, accompanied by further configurational changes of the alkyl chains. Both transitions retain the ambient P2₁/n symmetry. We also correlate and discuss the influence of structural properties (distortion parameters, bulk modulus, tolerance factors, and compressibility) and parameters calculated by using density functional theory (vibrational entropy, site-projected phonon density of states, and hydrogen bonding energy) on the occurrence and properties of structural phase transitions observed in this class of metal formates.

First-principles study of the structural, electronic, magnetic, and ferroelectric properties of a charge-ordered iron(ii)-iron(iii) formate framework

Density functional theory calculations have been performed for the structural, electronic, magnetic, and ferroelectric properties of a mixed-valence Fe(ii)-Fe(iii) formate framework [NH₂(CH₃)₂][FeⁱⁱⁱFeⁱⁱ(HCOO)₆]. Recent experiments report a spontaneous electric polarization, and our calculations are in agreement with the reported experimental value. Furthermore, we shed light onto the microscopic mechanism leading to the observed value, as well as on how to possibly enhance the polarization. The interplay between charge ordering, dipolar ordering of DMA⁺ cations, and the induced structural distortions suggest new interesting directions to explore in these complex multifunctional hybrid perovskites.

Introduction: minerals to metal-organic frameworks

Mineralogy and materials design have always been closely intertwined. Here, I review some of the earliest work in modern materials chemistry to explicitly take inspiration from mineral structures and properties, and introduce the invited contributions to this theme issue. This article is part of the theme issue 'Mineralomimesis: natural and synthetic frameworks in science and technology'.