Tag: DFT

Nov 13 2015

Cover Image of Crystal Engineering Communications: Fine-tuning the theoretically predicted structure of MIL-47(V) with the aid of powder X-ray diffraction

Authors: Thomas Bogaerts, Louis Vanduyfhuys, Danny E.P. Vanpoucke, Jelle Wieme, Michel Waroquier, Pascal Van Der Voort, and Veronique Van Speybroeck,
Journal: CrystEngComm. 17(45), 8565 (2015)
doi: 10.1039/C5CE90198G
IF(2015): 3.849
export: bibtex
pdf: <CrystEngComm>

Abstract

The cover image depicts an X-ray beam hitting a sample of MIL-47(V) Metal-Organic Framework (reddish powder), resulting in an X-ray diffraction pattern. This leads to the atomic structure on the left, Where the spin-densities are indicated for the anti-ferromagnetic ground state.  (The related paper can be found here.)


Cover of CrystEngComm: Volume 17, Issue 45, dec. 7, 2015

Nov 05 2015

Understanding intrinsic light absorption properties of UiO-66 frameworks: A combined theoretical and experimental study

Authors: Kevin Hendrickx, Danny E.P. Vanpoucke, Karen Leus, Kurt Lejaeghere,
Andy Van Yperen-De Deyne, Veronique Van Speybroeck, Pascal Van Der
Voort, and Karen Hemelsoet
Journal: Inorg. Chem. 54(22), 10701-10710 (2015)
doi: 10.1021/acs.inorgchem.5b01593
IF(2015): 4.820
export: bibtex
pdf:  <Inorg.Chem.>

Abstract

Linker-functionalization of UiO-66 modifies the optical band gap and thus the color of the MOF.

Linker-functionalization of UiO-66 modifies the optical band gap and thus the color of the MOF.

A combined theoretical and experimental study is performed in order to elucidate the eff ects of linker functional groups on the photoabsorption properties of UiO-66-type materials. This study, in which both mono- and di-functionalized linkers (with X= -OH, -NH2, -SH) are studied, aims to obtain a more complete picture on the choice of functionalization. Static Time-Dependent Density Functional Theory (TD-DFT) calculations combined with Molecular Dynamics simulations are performed on the linkers and compared to experimental UV/VIS spectra, in order to understand the electronic eff ects governing the absorption spectra. Di-substituted linkers show larger shifts compared to mono-substituted variants, making them promising candidates for further study as photocatalysts. Next, the interaction between the linker and the inorganic part of the framework is theoretically investigated using a cluster model. The proposed Ligand-to-Metal-Charge Transfer (LMCT) is theoretically observed and is influenced by the differences in functionalization. Finally, computed electronic properties of the periodic UiO-66 materials reveal that the band gap can be altered by linker functionalization and ranges from 4.0 down to 2.2 eV. Study of the periodic Density of States (DOS) allows to explain the band gap modulations of the framework in terms of a functionalization-induced band in the band gap of the original UiO-66 host.

Oct 16 2015

Mechanical Properties from Periodic PlaneWave Quantum Mechanical Codes: The Challenge of the Flexible Nanoporous MIL-47(V) Framework

Authors: Danny E. P. Vanpoucke, Kurt Lejaeghere, Veronique Van Speybroeck, Michel Waroquier, and An
Ghysels
Journal: J. Phys. Chem. C 119(41), 23752-23766 (2015)
doi: 10.1021/acs.jpcc.5b06809
IF(2015): 4.509
export: bibtex
pdf: <J.Phys.Chem.C> 
Graphical Abstract: Pulay stresses complicate the structure optimization of the breathing MIL-47(V) Metal-Organic Framework.
Graphical Abstract: Pulay stresses complicate the structure optimization of the breathing MIL-47(V) Metal-Organic Framework.

Abstract

Modeling the flexibility of metal–organic frameworks (MOFs) requires the computation of mechanical properties from first principles, e.g., for screening of materials in a database, for gaining insight into structural transformations, and for force field development. However, this paper shows that computations with periodic density functional theory are challenged by the flexibility of these materials: guidelines from experience with standard solid-state calculations cannot be simply transferred to flexible porous frameworks. Our test case, the MIL-47(V) material, has a large-pore and a narrow-pore shape. The effect of Pulay stress (cf. Pulay forces) leads to drastic errors for a simple structure optimization of the flexible MIL-47(V) material. Pulay stress is an artificial stress that tends to lower the volume and is caused by the finite size of the plane wave basis set. We have investigated the importance of this Pulay stress, of symmetry breaking, and of k-point sampling on (a) the structure optimization and (b) mechanical properties such as elastic constants and bulk modulus, of both the large-pore and narrow-pore structure of MIL-47(V). We found that, in the structure optimization, Pulay effects should be avoided by using a fitting procedure, in which an equation of state E(V) (EOS) is fit to a series of energy versus volume points. Manual symmetry breaking could successfully lower the energy of MIL-47(V) by distorting the vanadium–oxide distances in the vanadyl chains and by rotating the benzene linkers. For the mechanical properties, the curvature of the EOS curve was compared with the Reuss bulk modulus, derived from the elastic tensor in the harmonic approximation. Errors induced by anharmonicity, the eggbox effect, and Pulay effects propagate into the Reuss modulus. The strong coupling of the unit cell axes when the unit cell deforms expresses itself in numerical instability of the Reuss modulus. For a flexible material, it is therefore advisible to resort to the EOS fit procedure.

Sep 12 2015

Fine-tuning the theoretically predicted structure of MIL-47(V) with the aid of powder X-ray diffraction

Authors: Thomas Bogaerts, Louis Vanduyfhuys, Danny E. P. Vanpoucke, Jelle Wieme,
Michel Waroquier, Pascal van der Voort and Veronique van Speybroeck
Journal: Cryst. Eng. Comm. 17(45), 8612-8622 (2015)
doi: 10.1039/c5ce01388g
IF(2015): 3.849
export: bibtex
pdf: <Cryst.Eng.Comm.> 
Graphical Abstract: Which model represents the experimental XRD-spectra best? Ferromagnetic or anti-ferromagnetic chains? With of without offset?
Graphical Abstract: Which model represents the experimental XRD-spectra best? Ferromagnetic or anti-ferromagnetic chains? With of without offset?

Abstract

The structural characterization of complex crystalline materials such as metal organic frameworks can prove a very difficult challenge both for experimentalists as for theoreticians. From theory, the flat potential energy surface of these highly flexible structures often leads to different geometries that are energetically very close to each other. In this work a distinction between various computationally determined structures is made by comparing experimental and theoretically derived X-ray diffractograms which are produced from the materials geometry. The presented approach allows to choose the most appropriate geometry of a MIL-47(V) MOF and even distinguish between different electronic configurations that induce small structural changes. Moreover the techniques presented here are used to verify the applicability of a newly developed force field for this material. The discussed methodology is of significant importance for modelling studies where accurate geometries are crucial, such as mechanical properties and adsorption of guest molecules.

Oct 28 2014

Quasi-1D physics in metal-organic frameworks: MIL-47(V) from first principles

Authors: Danny E. P. Vanpoucke, Jan W. Jaeken, Stijn De Baerdemacker, Kurt Lejaeghere
and Veronique Van Speybroeck
Journal: Beilstein J. Nanotechnol. 5, 1738-1748 (2014)
doi: 10.3762/bjnano.5.184
IF(2014): 2.670
export: bibtex
pdf: <Beilstein> (open access)
Graphical Abstract: (left) Spin density of anti-ferromagnetic MIL-47(V) with ferromagnetic chains. (right) Electronic band structure and density of states.
Graphical Abstract: The MIL-47(V) MOF has one unpaired electron per V site. As a result, different spin configurations are possible, several of which lead to an anti-ferromagnetic state. The spin density of an antiferromagnetic state, containing only ferromagnetic chains is shown on the left. On the right, the electronic band structure of the same system is presented.

Abstract

The geometric and electronic structure of the MIL-47(V) metal-organic framework (MOF) is investigated by using ab initio density functional theory (DFT) calculations. Special focus is placed on the relation between the spin configuration and the properties of the MOF. The ground state is found to be antiferromagnetic, with an equilibrium volume of 1554.70 Å3. The transition pressure of the pressure-induced large-pore-to-narrow-pore phase transition is calculated to be 82 MPa and 124 MPa for systems with ferromagnetic and antiferromagnetic chains, respectively. For a mixed system, the transition pressure is found to be a weighted average of the ferromagnetic and antiferromagnetic transition pressures. Mapping DFT energies onto a simple-spin Hamiltonian shows both the intra- and inter-chain coupling to be antiferromagnetic, with the latter coupling constant being two orders of magnitude smaller than the former, suggesting the MIL-47(V) to present quasi-1D behavior. The electronic structure of the different spin configurations is investigated and it shows that the band gap position varies strongly with the spin configuration. The valence and conduction bands show a clear V d-character. In addition, these bands are flat in directions orthogonal to VO6 chains, while showing dispersion along the the direction of the VO6 chains, similar as for other quasi-1D materials.