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Heard CJ, Grajciar L, Uhlík F, Shamzhy M, Opanasenko M, Čejka J, Nachtigall P. Zeolite (In)Stability under Aqueous or Steaming Conditions. ADVANCED MATERIALS (DEERFIELD BEACH, FLA.) 2020; 32:e2003264. [PMID: 32780912 DOI: 10.1002/adma.202003264] [Citation(s) in RCA: 31] [Impact Index Per Article: 7.8] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/13/2020] [Revised: 06/30/2020] [Indexed: 06/11/2023]
Abstract
Zeolites are among the most environmentally friendly materials produced industrially at the Megaton scale. They find numerous commercial applications, particularly in catalysis, adsorption, and separation. Under ambient conditions aluminosilicate zeolites are stable when exposed to water or water vapor. However, at extreme conditions as high temperature, high water vapor pressure or increased acidity/basicity, their crystalline framework can be destroyed. The stability of the zeolite framework under aqueous conditions also depends on the concentration and character of heteroatoms (other than Al) and the topology of the zeolite. The factors critical for zeolite (in)stability in the presence of water under various conditions are reviewed from the experimental as well as computational sides. Nonreactive and reactive interactions of water with zeolites are addressed. The goal of this review is to provide a comparative overview of all-silica zeolites, aluminosilicates and zeolites with other heteroatoms (Ti, Sn, and Ge) when contacted with water. Due attention is also devoted to the situation when partial zeolite hydrolysis is used beneficially, such as the formation of hierarchical zeolites, synthesis of new zeolites or fine-tuning catalytic or adsorption characteristics of zeolites.
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Affiliation(s)
- Christopher James Heard
- Department of Physical and Macromolecular Chemistry & Charles University Center of Advanced Materials, Faculty of Science, Charles University, Hlavova 8, Prague 2, Prague, 128 43, Czech Republic
| | - Lukáš Grajciar
- Department of Physical and Macromolecular Chemistry & Charles University Center of Advanced Materials, Faculty of Science, Charles University, Hlavova 8, Prague 2, Prague, 128 43, Czech Republic
| | - Filip Uhlík
- Department of Physical and Macromolecular Chemistry & Charles University Center of Advanced Materials, Faculty of Science, Charles University, Hlavova 8, Prague 2, Prague, 128 43, Czech Republic
| | - Mariya Shamzhy
- Department of Physical and Macromolecular Chemistry & Charles University Center of Advanced Materials, Faculty of Science, Charles University, Hlavova 8, Prague 2, Prague, 128 43, Czech Republic
| | - Maksym Opanasenko
- Department of Physical and Macromolecular Chemistry & Charles University Center of Advanced Materials, Faculty of Science, Charles University, Hlavova 8, Prague 2, Prague, 128 43, Czech Republic
| | - Jiří Čejka
- Department of Physical and Macromolecular Chemistry & Charles University Center of Advanced Materials, Faculty of Science, Charles University, Hlavova 8, Prague 2, Prague, 128 43, Czech Republic
| | - Petr Nachtigall
- Department of Physical and Macromolecular Chemistry & Charles University Center of Advanced Materials, Faculty of Science, Charles University, Hlavova 8, Prague 2, Prague, 128 43, Czech Republic
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Gentile FS, Salustro S, Desmarais JK, Ferrari AM, D'Arco P, Dovesi R. Vibrational spectroscopy of hydrogens in diamond: a quantum mechanical treatment. Phys Chem Chem Phys 2018; 20:11930-11940. [PMID: 29667679 DOI: 10.1039/c8cp00596f] [Citation(s) in RCA: 14] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/19/2023]
Abstract
The electronic and vibrational features of the VHn (n = 1 to 4) family of defects in diamond (hydrogen atoms saturating the dangling bonds of the atoms surrounding a vacancy) are investigated at the quantum mechanical level by using the periodic supercell approach, an all electron Gaussian type basis set, hybrid functionals, and the Crystal code. Most of the results have been collected for supercells containing 64 atoms; however, in order to explore the effect of the defect concentration on both the IR and Raman spectra, supercells containing 216, 512 and 1000 atoms have also been considered in the VH4 case. For each system, all the possible spin states are considered; their relative stability, band structure, charge and spin density distributions are thoroughly described. All the investigated systems present specific IR and Raman spectra, with vibrational spectroscopic features that can in principle be used as fingerprints for their characterization. This is particularly true for the C-H stretching, that ranges between 2500 and 4400 cm-1. The stretching modes are strongly affected by anharmonicity that has been evaluated in this work; it turns out to be extremely sensitive to the H load and spin state of the system, and ranges from -335 cm-1 for VH1 to +85 cm-1 for VH4. All of the investigated defects have very low C-H stretching IR intensity, so that they essentially appear as silent, the exception being VH1. The situation is different for the Raman spectra: the stretching modes of all defects do have similar large intensity; unfortunately here it is the experimental evidence that is lacking.
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Affiliation(s)
- Francesco Silvio Gentile
- Dipartimento di Chimica, Università di Torino and NIS (Nanostructured Interfaces and Surfaces) Centre, Via P. Giuria 5, 10125 Torino, Italy.
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Gentile FS, Salustro S, Causà M, Erba A, Carbonniére P, Dovesi R. The VN3H defect in diamond: a quantum-mechanical characterization. Phys Chem Chem Phys 2017; 19:22221-22229. [DOI: 10.1039/c7cp03957c] [Citation(s) in RCA: 15] [Impact Index Per Article: 2.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
The structural, electronic, energetic and vibrational spectroscopic (IR and Raman) properties of the VN3H defect in diamond are investigated with quantum mechanical simulations.
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Affiliation(s)
| | - Simone Salustro
- Dipartimento di Chimica
- Università di Torino
- IT-10125 Torino
- Italy
| | - Mauro Causà
- Dipartimento di Ingengeria Chimica
- dei Materiali e delle Produzioni Industriali DICMAPI
- Università degli Studi di Napoli Federico II
- Napoli
- Italy
| | - Alessandro Erba
- Dipartimento di Chimica
- Università di Torino
- IT-10125 Torino
- Italy
| | - Philippe Carbonniére
- Equipe de Chimie Physique
- IPREM UMR5254
- Université de Pau et des Pays de l'Adour
- 64000 Pau
- France
| | - Roberto Dovesi
- Dipartimento di Chimica
- Università di Torino
- IT-10125 Torino
- Italy
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Zhang C, Han C, Sholl DS, Schmidt JR. Computational Characterization of Defects in Metal-Organic Frameworks: Spontaneous and Water-Induced Point Defects in ZIF-8. J Phys Chem Lett 2016; 7:459-64. [PMID: 26771275 DOI: 10.1021/acs.jpclett.5b02683] [Citation(s) in RCA: 60] [Impact Index Per Article: 7.5] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 05/24/2023]
Abstract
Zeolitic imidazolate frameworks (ZIFs) are an important class of porous crystalline metal-organic framework (MOF) materials that have attracted widespread attention for applications ranging from gas adsorption and separation to catalysis. Although the bulk crystal structures of MOFs are typically well-characterized, comparatively little is known regarding MOF defect structures. Drawing on analogies with conventional silicon-based zeolites, we utilize computational methods to examine the structure and stability of putative point-defect structures (including vacancies, substitutions, and "dangling" linkers) within the prototypical ZIF-8 structure. Considering both postsynthetic (gas-phase) and synthetic (solution-phase) conditions, we find that several of the defect structures lie low in energy relative to the defect-free parent crystal, with barriers to defect formation that are large but surmountable under relevant temperatures. These results are consistent with prior experimental observations of ZIF stability and reactivity and suggest that defects may play an important role in influencing the long-term stability of MOFs under conditions that include exposure to water vapor and trace contaminants such as acid gases.
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Affiliation(s)
- Chenyang Zhang
- Theoretical Chemistry Institute and Department of Chemistry, University of Wisconsin-Madison , 1101 University Avenue, Madison, Wisconsin 53706, United States
| | - Chu Han
- School of Chemistry & Biochemistry, Georgia Institute of Technology , Atlanta, Georgia 30332, United States
| | - David S Sholl
- School of Chemical & Biomolecular Engineering, Georgia Institute of Technology , 311 Ferst Drive NW, Atlanta, Georgia 30332-0100, United States
| | - J R Schmidt
- Theoretical Chemistry Institute and Department of Chemistry, University of Wisconsin-Madison , 1101 University Avenue, Madison, Wisconsin 53706, United States
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Bonelli B, Armandi M, Hernandez S, Vankova S, Celasco E, Tomatis M, Saracco G, Garrone E. The behaviour of an old catalyst revisited in a wet environment: Co ions in APO-5 split water under mild conditions. Phys Chem Chem Phys 2014; 16:7074-82. [DOI: 10.1039/c4cp00320a] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
Co-APO-5 splits water at room temperature through the endothermic process shown in the figure.
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Affiliation(s)
- Barbara Bonelli
- Department of Applied Science and Technology and INSTM Unit of Torino-Politecnico
- Corso Duca degli Abruzzi
- I-10129 Turin, Italy
| | - Marco Armandi
- Department of Applied Science and Technology and INSTM Unit of Torino-Politecnico
- Corso Duca degli Abruzzi
- I-10129 Turin, Italy
- Center for Space Human Robotics
- IIT@Polito
| | - Simelys Hernandez
- Center for Space Human Robotics
- IIT@Polito
- Istituto Italiano di Tecnologia
- I-10129 Turin, Italy
| | - Svetoslava Vankova
- Department of Applied Science and Technology and INSTM Unit of Torino-Politecnico
- Corso Duca degli Abruzzi
- I-10129 Turin, Italy
| | - Edvige Celasco
- Department of Applied Science and Technology and INSTM Unit of Torino-Politecnico
- Corso Duca degli Abruzzi
- I-10129 Turin, Italy
- Department of Physics
- Università di Genova
| | - Maura Tomatis
- Department of Chemistry and “G. Scansetti” Interdepartmental Centre for Studies on Asbestos and other Toxic Particulates
- Università degli Studi di Torino
- Torino I-10125, Italy
| | - Guido Saracco
- Department of Applied Science and Technology and INSTM Unit of Torino-Politecnico
- Corso Duca degli Abruzzi
- I-10129 Turin, Italy
| | - Edoardo Garrone
- Department of Applied Science and Technology and INSTM Unit of Torino-Politecnico
- Corso Duca degli Abruzzi
- I-10129 Turin, Italy
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The Performance of Hybrid Density Functionals in Solid State Chemistry. STRUCTURE AND BONDING 2012. [DOI: 10.1007/b97944] [Citation(s) in RCA: 165] [Impact Index Per Article: 13.8] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 01/30/2023]
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Malola S, Svelle S, Bleken FL, Swang O. Detailed reaction paths for zeolite dealumination and desilication from density functional calculations. Angew Chem Int Ed Engl 2011; 51:652-5. [PMID: 22147388 DOI: 10.1002/anie.201104462] [Citation(s) in RCA: 58] [Impact Index Per Article: 4.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/28/2011] [Revised: 10/04/2011] [Indexed: 11/05/2022]
Affiliation(s)
- Sami Malola
- inGAP Center for Research-Based Innovation, Department of Chemistry, University of Oslo, P. O. Box 1033 Blindern, 0315 Oslo, Norway
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8
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Detailed Reaction Paths for Zeolite Dealumination and Desilication From Density Functional Calculations. Angew Chem Int Ed Engl 2011. [DOI: 10.1002/ange.201104462] [Citation(s) in RCA: 12] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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Sommer L, Svelle S, Lillerud KP, Stöcker M, Weckhuysen BM, Olsbye U. Optical investigation of the intergrowth structure and accessibility of Brønsted acid sites in etched SSZ-13 zeolite crystals by confocal fluorescence microscopy. LANGMUIR : THE ACS JOURNAL OF SURFACES AND COLLOIDS 2010; 26:16510-16516. [PMID: 20496927 DOI: 10.1021/la101454v] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/29/2023]
Abstract
Template decomposition followed by confocal fluorescence microscopy reveals a tetragonal-pyramidal intergrowth of subunits in micrometer-sized nearly cubic SSZ-13 zeolite crystals. In order to accentuate intergrowth boundaries and defect-rich areas within the individual large zeolite crystals, a treatment with an etching NaOH solution is applied. The defective areas are visualized by monitoring the spatial distribution of fluorescent tracer molecules within the individual SSZ-13 crystals by confocal fluorescence microscopy. These fluorescent tracer molecules are formed at the inner and outer crystal surfaces by utilizing the catalytic activity of the zeolite in the oligomerization reaction of styrene derivatives. This approach reveals various types of etching patterns that are an indication for the defectiveness of the studied crystals. We can show that specially one type of crystals, denoted as core-shell type, is highly accessible to the styrene molecules after etching. Despite the large crystal dimensions, the whole core-shell type SSZ-13 crystal is utilized for catalytic reaction. Furthermore, the confocal fluorescence microscopy measurements indicate a nonuniform distribution of the catalytically important Brønsted acid sites underlining the importance of space-resolved measurements.
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Affiliation(s)
- Linn Sommer
- Centre for Materials Science and Nanotechnology, Department of Chemistry, University of Oslo, P.O. Box 1033 Blindern, N-0315 Oslo, Norway
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Verboekend D, Villaescusa LA, Thomas K, Stan I, Pérez-Ramírez J. Acidity and accessibility studies on mesoporous ITQ-4 zeolite. Catal Today 2010. [DOI: 10.1016/j.cattod.2010.02.004] [Citation(s) in RCA: 14] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/19/2022]
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Pérez-Badell Y, Solans-Monfort X, Sodupe M, Montero LA. A DFT periodic study on the interaction between O2and cation exchanged chabazite MCHA (M = H+, Na+ or Cu+): effects in the triplet–singlet energy gap. Phys Chem Chem Phys 2010; 12:442-52. [DOI: 10.1039/b914699g] [Citation(s) in RCA: 15] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
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12
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Stoyanov SR, Gusarov S, Kovalenko A. Modelling of bitumen fragment adsorption on Cu+ and Ag+ exchanged zeolite nanoparticles. MOLECULAR SIMULATION 2008. [DOI: 10.1080/08927020802101742] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 10/21/2022]
Affiliation(s)
- Stanislav R. Stoyanov
- a National Institute for Nanotechnology, National Research Council of Canada , Edmonton, Canada
- b Department of Mechanical Engineering , University of Alberta , Edmonton, Canada
| | - Sergey Gusarov
- a National Institute for Nanotechnology, National Research Council of Canada , Edmonton, Canada
| | - Andriy Kovalenko
- a National Institute for Nanotechnology, National Research Council of Canada , Edmonton, Canada
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Goumans TPM, Catlow CRA, Brown WA. Hydrogenation of CO on a silica surface: An embedded cluster approach. J Chem Phys 2008; 128:134709. [DOI: 10.1063/1.2888933] [Citation(s) in RCA: 22] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/26/2023] Open
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14
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Malavasi G, Menziani MC, Pedone A, Civalleri B, Corno M, Ugliengo P. A computational multiscale strategy to the study of amorphous materials. Theor Chem Acc 2007. [DOI: 10.1007/s00214-006-0214-1] [Citation(s) in RCA: 28] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
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15
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Nachtigall P, Sauer J. Applications of Quantum Chemical Methods in Zeolite Science. STUDIES IN SURFACE SCIENCE AND CATALYSIS 2007. [DOI: 10.1016/s0167-2991(07)80808-1] [Citation(s) in RCA: 15] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 12/25/2022]
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16
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Bacchi A, Bosetti E, Carcelli M. Unusual hydrogen bonded (OH)4 tetrahedral nests organize zinc(ii) coordination complexes in a non covalent diamondoid network. CrystEngComm 2007. [DOI: 10.1039/b616955d] [Citation(s) in RCA: 14] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
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17
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Bacchi A, Bosetti E, Carcelli M, Pelagatti P, Pelizzi G, Rogolino D. Triarylcarbinol derivatives barter intermolecular interactions to accommodate substituents and create polymorphs. CrystEngComm 2006. [DOI: 10.1039/b513876k] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
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Ugliengo * P, Busco C, Civalleri B, Zicovich-Wilson CM. Carbon monoxide adsorption on alkali and proton-exchanged chabazite: anab-initioperiodic study using the CRYSTAL code. Mol Phys 2005. [DOI: 10.1080/00268970500180865] [Citation(s) in RCA: 26] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/25/2022]
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Solans-Monfort X, Sodupe M, Branchadell V, Sauer J, Orlando R, Ugliengo P. Adsorption of NH3 and H2O in Acidic Chabazite. Comparison of ONIOM Approach with Periodic Calculations. J Phys Chem B 2005; 109:3539-45. [PMID: 16851391 DOI: 10.1021/jp045531e] [Citation(s) in RCA: 87] [Impact Index Per Article: 4.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Abstract
The adsorption of NH(3) and H(2)O in acidic chabazite has been studied with the B3LYP method within the cluster approach (5T, 48T clusters) and the periodic approach adopting a Si/Al = 11/1 chabazite and a basis set of polarized double-zeta quality. The 5T cluster has been treated fully ab initio at the B3LYP level whereas the 48T cluster has been treated with the ONIOM2 scheme using B3LYP as the high level of theory and the MNDO, AM1, and HF/3-21G methods as low levels of theory. Periodic calculations show that the adsorption of NH(3) in acidic chabazite takes place through an ion pair (NH(4)(+)-CHA(-)) structure, the computed adsorption energy being -32 kcal/mol. The adsorption of H(2)O leads to a hydrogen bonded (H(2)O-HCHA) complex with the computed adsorption energy of -20 kcal/mol. All ONIOM combinations provide similar structures to those obtained with periodic calculations. Adsorption energies, however, are sensitive to the low level used, especially for NH(3). The ONIOM B3LYP:HF/3-21G method is the one that provides more satisfactory results. Present results show that, for larger zeolites, the ONIOM scheme can be successfully applied while drastically reducing the cost of a fully ab initio treatment.
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Pascale F, Ugliengo P, Civalleri B, Orlando R, D'Arco P, Dovesi R. The katoite hydrogarnet Si-free Ca3Al2([OH]4)3: A periodic Hartree–Fock and B3-LYP study. J Chem Phys 2004; 121:1005-13. [PMID: 15260634 DOI: 10.1063/1.1760075] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
The structure of the Si-free katoite hydrogarnet (116 atoms in the unit cell) has been investigated at the periodic ab initio quantum mechanical level with the CRYSTAL program, by using a Gaussian type basis set and both the HF and the hybrid B3-LYP Hamiltonians. The structure has been fully optimized at various pressures in the 0-46 GPa range; the modifications of the structure, and in particular of the (OH)4 group, as a function of pressure are analyzed. At the B3-LYP level and P greater than 15 GPa, a O-H...O interaction of increasing strength appears, with important modifications in the local geometry of the tetrahedral site. The calculated omega01(O-H) fundamental vibrational frequency at zero pressure is in excellent agreement with experiment (3674 and 3663 cm(-1), respectively); the omega01(O-H) stretching frequency remains essentially constant in the 0-15 GPa interval, whereas it dramatically decreases at higher pressures with a corresponding anharmonicity increase, as a consequence of the formation of a strong hydrogen bond. The hydration energy of grossular and the formation energy of Si-free katoite have also been computed, and the B3-LYP results are in quite good agreement with experiment.
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Affiliation(s)
- F Pascale
- Laboratoire de Petrologie, Modelisation des Materiaux et Processus, Universite Pierre et Marie Curie, 4, Place Jussieu, 75232 Paris Cedex 05, France
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Solans-Monfort X, Branchadell V, Sodupe M, Zicovich-Wilson CM, Gribov E, Spoto G, Busco C, Ugliengo P. Can Cu+-Exchanged Zeolites Store Molecular Hydrogen? An Ab-Initio Periodic Study Compared with Low-Temperature FTIR. J Phys Chem B 2004. [DOI: 10.1021/jp0486651] [Citation(s) in RCA: 81] [Impact Index Per Article: 4.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/16/2023]
Affiliation(s)
- Xavier Solans-Monfort
- Departament de Química, Universitat Autònoma de Barcelona, Bellaterra 08193, Spain, Facultad de Ciencias, Universidad Autonoma del Estado de Morelos, Av. Universidad 1001, Col. Chamilpa, 62210 Cuernavaca (Morelos), Mexico, and Dipartimento di Chimica IFM, Università di Torino, Via P. Giuria, 7, 10125 Torino, Italy
| | - Vicenç Branchadell
- Departament de Química, Universitat Autònoma de Barcelona, Bellaterra 08193, Spain, Facultad de Ciencias, Universidad Autonoma del Estado de Morelos, Av. Universidad 1001, Col. Chamilpa, 62210 Cuernavaca (Morelos), Mexico, and Dipartimento di Chimica IFM, Università di Torino, Via P. Giuria, 7, 10125 Torino, Italy
| | - Mariona Sodupe
- Departament de Química, Universitat Autònoma de Barcelona, Bellaterra 08193, Spain, Facultad de Ciencias, Universidad Autonoma del Estado de Morelos, Av. Universidad 1001, Col. Chamilpa, 62210 Cuernavaca (Morelos), Mexico, and Dipartimento di Chimica IFM, Università di Torino, Via P. Giuria, 7, 10125 Torino, Italy
| | - Claudio M. Zicovich-Wilson
- Departament de Química, Universitat Autònoma de Barcelona, Bellaterra 08193, Spain, Facultad de Ciencias, Universidad Autonoma del Estado de Morelos, Av. Universidad 1001, Col. Chamilpa, 62210 Cuernavaca (Morelos), Mexico, and Dipartimento di Chimica IFM, Università di Torino, Via P. Giuria, 7, 10125 Torino, Italy
| | - Evgueny Gribov
- Departament de Química, Universitat Autònoma de Barcelona, Bellaterra 08193, Spain, Facultad de Ciencias, Universidad Autonoma del Estado de Morelos, Av. Universidad 1001, Col. Chamilpa, 62210 Cuernavaca (Morelos), Mexico, and Dipartimento di Chimica IFM, Università di Torino, Via P. Giuria, 7, 10125 Torino, Italy
| | - Giuseppe Spoto
- Departament de Química, Universitat Autònoma de Barcelona, Bellaterra 08193, Spain, Facultad de Ciencias, Universidad Autonoma del Estado de Morelos, Av. Universidad 1001, Col. Chamilpa, 62210 Cuernavaca (Morelos), Mexico, and Dipartimento di Chimica IFM, Università di Torino, Via P. Giuria, 7, 10125 Torino, Italy
| | - Claudia Busco
- Departament de Química, Universitat Autònoma de Barcelona, Bellaterra 08193, Spain, Facultad de Ciencias, Universidad Autonoma del Estado de Morelos, Av. Universidad 1001, Col. Chamilpa, 62210 Cuernavaca (Morelos), Mexico, and Dipartimento di Chimica IFM, Università di Torino, Via P. Giuria, 7, 10125 Torino, Italy
| | - Piero Ugliengo
- Departament de Química, Universitat Autònoma de Barcelona, Bellaterra 08193, Spain, Facultad de Ciencias, Universidad Autonoma del Estado de Morelos, Av. Universidad 1001, Col. Chamilpa, 62210 Cuernavaca (Morelos), Mexico, and Dipartimento di Chimica IFM, Università di Torino, Via P. Giuria, 7, 10125 Torino, Italy
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Zicovich-Wilson CM, Pascale F, Roetti C, Saunders VR, Orlando R, Dovesi R. Calculation of the vibration frequencies of ?-quartz: The effect of Hamiltonian and basis set. J Comput Chem 2004; 25:1873-81. [PMID: 15376250 DOI: 10.1002/jcc.20120] [Citation(s) in RCA: 249] [Impact Index Per Article: 12.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/11/2022]
Abstract
The central-zone vibrational spectrum of alpha-quartz (SiO2) is calculated by building the Hessian matrix numerically from the analytical gradients of the energy with respect to the atomic coordinates. The nonanalytical part is obtained with a finite field supercell approach for the high-frequency dielectric constant and a Wannier function scheme for the evaluation of Born charges. The results obtained with four different Hamiltonians, namely Hartree-Fock, DFT in its local (LDA) and nonlocal gradient corrected (PBE) approximation, and hybrid B3LYP, are discussed, showing that B3LYP performs far better than LDA and PBE, which in turn provide better results than HF, as the mean absolute difference from experimental frequencies is 6, 18, 21, and 44 cm(-1), respectively, when a split valence basis set containing two sets of polarization functions is used. For the LDA results, comparison is possible with previous calculations based on the Density Functional Perturbation Theory and usage of a plane-wave basis set. The effects associated with the use of basis sets of increasing size are also investigated. It turns out that a split valence plus a single set of d polarization functions provides frequencies that differ from the ones obtained with a double set of d functions and a set of f functions on all atoms by on average less than 5 cm(-1).
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Affiliation(s)
- C M Zicovich-Wilson
- Facultad de Ciencias, Universidad Autónoma del Estado de Morelos, Av. Universidad 1001, Col. Chamilpa, 62210 Cuernavaca (Morelos), Mexico
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