Hybrid Quantum Mechanics/Molecular Mechanics Investigation of (salen)Mn for use in Metal−Organic Frameworks

Importance of Lattice Constants in QM/MM Calculations on Metal-Organic Frameworks

Metal-organic frameworks (MOFs) are crystalline materials with novel physical and chemical properties. Computational simulations have become powerful complements to experiment for understanding catalysis in MOFs and developing new MOFs and their applications. However, due to their relatively large and complex structures, MOFs can be burdensome for fully quantum mechanical calculations. A combined quantum mechanical and molecular mechanical (QM/MM) method that combines the accuracy of fully quantum mechanical methods and the efficiency of MM methods is therefore attractive. In this study, we employ a QM/MM method for the study of two classes of chemical process in a MOF: the conversion of reaction intermediates in an Ir-containing borylation catalyst supported on MOF UiO-67 and the diffusion of a diborylated methane molecule in the pristine UiO-67 framework. We compare the QM/MM results with full-quantum mechanical results on large systems to validate the accuracy of the applied QM/MM method. In the first case, we consider a model of the entire system by partitioning it into subsystems that interact covalently, and in the second case the subsystem interaction is mainly steric. We observe that the QM/MM results agree with the full-quantum mechanical results within an average of 4 kcal/mol in the first case with strong electronic interactions and within an average of 3 kcal/mol in the case with only noncovalent interactions. An important lesson learned from the present study is that the quantitative results are very sensitive to the lattice constants predicted by the MM method used in the QM/MM calculations.

Electronic Structure Modeling of Metal-Organic Frameworks

Owing to their molecular building blocks, yet highly crystalline nature, metal-organic frameworks (MOFs) sit at the interface between molecule and material. Their diverse structures and compositions enable them to be useful materials as catalysts in heterogeneous reactions, electrical conductors in energy storage and transfer applications, chromophores in photoenabled chemical transformations, and beyond. In all cases, density functional theory (DFT) and higher-level methods for electronic structure determination provide valuable quantitative information about the electronic properties that underpin the functions of these frameworks. However, there are only two general modeling approaches in conventional electronic structure software packages: those that treat materials as extended, periodic solids, and those that treat materials as discrete molecules. Each approach has features and benefits; both have been widely employed to understand the emergent chemistry that arises from the formation of the metal-organic interface. This Review canvases these approaches to date, with emphasis placed on the application of electronic structure theory to explore reactivity and electron transfer using periodic, molecular, and embedded models. This includes (i) computational chemistry considerations such as how functional, k-grid, and other model variables are selected to enable insights into MOF properties, (ii) extended solid models that treat MOFs as materials rather than molecules, (iii) the mechanics of cluster extraction and subsequent chemistry enabled by these molecular models, (iv) catalytic studies using both solids and clusters thereof, and (v) embedded, mixed-method approaches, which simulate a fraction of the material using one level of theory and the remainder of the material using another dissimilar theoretical implementation.

Application of computational chemistry for adsorption studies on metal–organic frameworks used for carbon capture

Computational chemistry is invaluable in calculating macroscopic and microscopic details of systems application in chemical industries which are involved in carbon capture through precombustion, post-combustion and oxy combustion technologies. This review discusses the role of computational chemistry for adsorption studies of metal–organic frameworks (MOFs) which can be utilized for carbon capture. Principles of quantum mechanics–molecular mechanics are used to devise the electrostatic charges and isotherm parameters on the MOFs. MOFs for carbon capture which can be compatible and which can withstand the severity in chemical industries can be effectively studied using grand canonical Monte Carlo simulation by selecting appropriate force fields. Since flue gases contain a host of other gases in addition to oxides of carbon, capture by MOFs has to be carefully modelled and the software useful for this study are mentioned in this review. The simulated adsorption isotherms should be compared with experimental adsorption isotherms to validate the study. The adsorption model for carbon dioxide adsorption on MOFs is generally reported to be type I reversible isotherm and the kinetics is in good agreement with pseudo-second-order kinetics.

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Multilink F* Method for Combined Quantum Mechanical and Molecular Mechanical Calculations of Complex Systems

Combined quantum mechanical and molecular mechanical (QM/MM) studies on catalysis in metal-organic frameworks (MOFs) are relatively undeveloped in contrast to the wide use of QM/MM for enzyme catalysis. One reason is that the currently available methods for treating QM-MM boundaries are not fully compatible with the combination of features in MOFs, namely, their high connectivity, their polar bonds (e.g., metal-oxygen bonds), and their potential boundary atoms with high partial atomic charges. The treatment of polar bonds can be improved by using tuned link atoms, but both the widely used H link atom method and the F* link atom method provide limited options in placing the QM-MM boundary in MOFs and other covalently bonded solids, which seriously reduces the efficiency of QM/MM calculations. Here, we propose a generalized version of the F* link atom method with greater flexibility for the placement of the QM-MM boundary in MOFs and with a practical scheme for tuning. The new method, called the multilink F* method, allows a large part of an inorganic node of a MOF to be partitioned into the MM subsystem to increase the efficiency. Our validation calculations on dimerization of ethylene to 1-butene by a nickel catalyst supported on a MOF show that the overall performance of QM/MM calculations with the multilink F* method is excellent for energies, geometries, and partial atomic charges.

Parametrization of Combined Quantum Mechanical and Molecular Mechanical Methods: Bond-Tuned Link Atoms

Combined quantum mechanical and molecular mechanical (QM/MM) methods are the most powerful available methods for high-level treatments of subsystems of very large systems. The treatment of the QM−MM boundary strongly affects the accuracy of QM/MM calculations. For QM/MM calculations having covalent bonds cut by the QM−MM boundary, it has been proposed previously to use a scheme with system-specific tuned fluorine link atoms. Here, we propose a broadly parametrized scheme where the parameters of the tuned F link atoms depend only on the type of bond being cut. In the proposed new scheme, the F link atom is tuned for systems with a certain type of cut bond at the QM−MM boundary instead of for a specific target system, and the resulting link atoms are call bond-tuned link atoms. In principle, the bond-tuned link atoms can be as convenient as the popular H link atoms, and they are especially well adapted for high-throughput and accurate QM/MM calculations. Here, we present the parameters for several kinds of cut bonds along with a set of validation calculations that confirm that the proposed bond-tuned link-atom scheme can be as accurate as the system-specific tuned F link-atom scheme.

Computational Design of Functionalized Metal-Organic Framework Nodes for Catalysis

Recent progress in the synthesis and characterization of metal-organic frameworks (MOFs) has opened the door to an increasing number of possible catalytic applications. The great versatility of MOFs creates a large chemical space, whose thorough experimental examination becomes practically impossible. Therefore, computational modeling is a key tool to support, rationalize, and guide experimental efforts. In this outlook we survey the main methodologies employed to model MOFs for catalysis, and we review selected recent studies on the functionalization of their nodes. We pay special attention to catalytic applications involving natural gas conversion.

Combined quantum mechanical and molecular mechanical method for metal–organic frameworks: proton topologies of NU-1000

A force field is presented for NU-1000 and tested by electronically embedded QM/MM calculations, which yield accurate structures and relative energies for various proton topologies.

The mechanism of an asymmetric ring-opening reaction of epoxide with amine catalyzed by a metal–organic framework: insights from combined quantum mechanics and molecular mechanics calculations

QM/MM computations suggest that the asymmetric ring-opening reaction of epoxide with amine is controlled by CH–π interactions between aniline and a naphthol moiety.

Two heterotrimetallic organic frameworks constructed using a functionalized Schiff base ligand: syntheses, structures and visible photocatalytic activities for the degradation of chlorophenols

Two 3D heterotrimetallics have been synthesized and their photocatalytic degradation performances for chlorophenols have been investigated.

A modelling approach for MOF-encapsulated metal catalysts and application to n-butane oxidation

A surrogate pore mimics the steric constraints provided by a MOF on n-butane in a MOF-encapsulated metal catalyst.

Metal-organic frameworks as a tunable platform for designing functional molecular materials

Metal-organic frameworks (MOFs), also known as coordination polymers, represent an interesting class of crystalline molecular materials that are synthesized by combining metal-connecting points and bridging ligands. The modular nature of and mild conditions for MOF synthesis have permitted the rational structural design of numerous MOFs and the incorporation of various functionalities via constituent building blocks. The resulting designer MOFs have shown promise for applications in a number of areas, including gas storage/separation, nonlinear optics/ferroelectricity, catalysis, energy conversion/storage, chemical sensing, biomedical imaging, and drug delivery. The structure-property relationships of MOFs can also be readily established by taking advantage of the knowledge of their detailed atomic structures, which enables fine-tuning of their functionalities for desired applications. Through the combination of molecular synthesis and crystal engineering, MOFs thus present an unprecedented opportunity for the rational and precise design of functional materials.