23 results on '"Kiran Mathew"'
Search Results
2. Integrated membrane emulsification and solution cooling crystallization to obtain a narrow and predictable crystal size distribution
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Kwon, Soojin, Thomas, Kiran Mathew, and Lakerveld, Richard
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- 2022
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3. Membrane-assisted crystallization: Membrane characterization, modelling and experiments
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Anisi, Fatemeh, Thomas, Kiran Mathew, and Kramer, Herman J.M.
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- 2017
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4. Control of crystal size distribution in batch protein crystallization by integrating a gapped Kenics static mixer to flexibly produce seed crystals
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Baggie W. Nyande, Kiran Mathew Thomas, Abraham A. Takarianto, and Richard Lakerveld
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Applied Mathematics ,General Chemical Engineering ,General Chemistry ,Industrial and Manufacturing Engineering - Published
- 2022
5. Integrated membrane emulsification and solution cooling crystallization to obtain a narrow and predictable crystal size distribution
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Richard Lakerveld, Soojin Kwon, and Kiran Mathew Thomas
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Supersaturation ,Number density ,Materials science ,Process Chemistry and Technology ,General Chemical Engineering ,Nucleation ,Energy Engineering and Power Technology ,General Chemistry ,Industrial and Manufacturing Engineering ,law.invention ,Crystal ,Chemical engineering ,law ,Scientific method ,Emulsion ,Crystallization ,Membrane emulsification - Abstract
Solution crystallization processes are challenged by the need to control crystal quality attributes such as the crystal size distribution (CSD). Emulsion crystallization is an attractive process intensification strategy to control crystal quality attributes through miniaturization. Droplets of an emulsion can act as tiny crystallizers by confining crystals so that crystal nucleation and growth are limited by the droplet size with available supersaturation. This work presents a novel process concept based on the integration of membrane emulsification and solution crystallization. A water-in-oil emulsion is created through membrane emulsification and glycine is crystallized inside droplets by cooling. The process is characterized in terms of the droplet size distribution, crystal number density, and CSD as a function of the emulsification method and supersaturation. Large and monodisperse droplets obtained from membrane emulsification can achieve a narrow and predictable CSD with higher productivity compared to a mechanical emulsification method. The crystal number density is strongly affected by the initial supersaturation when using membrane emulsification but not the final CSD. In contrast, the CSD changes with supersaturation when applying a mechanical emulsification method. The CSD obtained from a conventional bulk crystallization process is broader and lacks the control imposed by the uniform droplets from membrane emulsification.
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- 2022
6. The Conundrum of Relaxation Volumes in First-Principles Calculations of Charged Defects in UO2
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Simon R. Phillpot, Kiran Mathew, Samuel T. Murphy, Anuj Goyal, Christopher R. Stanek, Aleksandr V. Chernatynskiy, Blas P. Uberuaga, Richard G. Hennig, and David A. Andersson
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Fluid Flow and Transfer Processes ,Materials science ,Process Chemistry and Technology ,General Engineering ,02 engineering and technology ,Electron ,021001 nanoscience & nanotechnology ,01 natural sciences ,Molecular physics ,Computer Science Applications ,dipole tensor ,0103 physical sciences ,General Materials Science ,Density functional theory ,elasticity ,relaxation volume ,urania ,Elasticity (economics) ,010306 general physics ,0210 nano-technology ,Instrumentation ,defects ,density functional theory - Abstract
The defect relaxation volumes obtained from density-functional theory (DFT) calculations of charged vacancies and interstitials are much larger than their neutral counterparts, seemingly unphysically large. We focus on UO2 as our primary material of interest, but also consider Si and GaAs to reveal the generality of our results. In this work, we investigate the possible reasons for this and revisit the methods that address the calculation of charged defects in periodic DFT. We probe the dependence of the proposed energy corrections to charged defect formation energies on relaxation volumes and find that corrections such as potential alignment remain ambiguous with regards to its contribution to the charged defect relaxation volume. We also investigate the volume for the net neutral defect reactions comprising individual charged defects, and find that the aggregate formation volumes have reasonable magnitudes. This work highlights the issue that, as is well-known for defect formation energies, the defect formation volumes depend on the choice of reservoir. We show that considering the change in volume of the electron reservoir in the formation reaction of the charged defects, analogous to how volumes of atoms are accounted for in defect formation volumes, can renormalize the formation volumes of charged defects such that they are comparable to neutral defects. This approach enables the description of the elastic properties of isolated charged defects within an overall neutral material.
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- 2019
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7. Atomate: A high-level interface to generate, execute, and analyze computational materials science workflows
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Shyam Dwarakanath, Brandon Bocklund, Anubhav Jain, Hanmei Tang, Shyue Ping Ong, Tess Smidt, Muratahan Aykol, Iek-Heng Chu, Matthew Horton, Alireza Faghaninia, John Dagdelen, Zi Kui Liu, Jeffrey B. Neaton, Kristin A. Persson, Joseph Montoya, Kiran Mathew, and Brandon Wood
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General Computer Science ,Computer science ,General Physics and Astronomy ,02 engineering and technology ,010402 general chemistry ,01 natural sciences ,Extensibility ,Computational science ,General Materials Science ,computer.programming_language ,business.industry ,General Chemistry ,Python (programming language) ,021001 nanoscience & nanotechnology ,Automation ,0104 chemical sciences ,Complex materials ,Computational Mathematics ,Workflow ,Template ,Open source ,Mechanics of Materials ,Computational material science ,0210 nano-technology ,business ,computer - Abstract
We introduce atomate, an open-source Python framework for computational materials science simulation, analysis, and design with an emphasis on automation and extensibility. Built on top of open source Python packages already in use by the materials community such as pymatgen, FireWorks, and custodian, atomate provides well-tested workflow templates to compute various materials properties such as electronic bandstructure, elastic properties, and piezoelectric, dielectric, and ferroelectric properties. Atomate also enables the computational characterization of materials by providing workflows that calculate X-ray absorption (XAS), Electron energy loss (EELS) and Raman spectra. One of the major features of atomate is that it provides both fully functional workflows as well as reusable components that enable one to compose complex materials science workflows that use a diverse set of computational tools. Additionally, atomate creates output databases that organize the results from individual calculations and contains a builder framework that creates summary reports for each computed material based on multiple simulations.
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- 2017
8. Interface‐Driven Structural Distortions and Composition Segregation in Two‐Dimensional Heterostructures
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Gavin Mitchson, David C. Johnson, Devin R. Merrill, Kiran Mathew, Richard G. Hennig, Jeffrey Ditto, Douglas L. Medlin, Joshua J. Gabriel, and Nigel D. Browning
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Materials science ,Field (physics) ,Alloy ,02 engineering and technology ,engineering.material ,010402 general chemistry ,Crystal engineering ,01 natural sciences ,Catalysis ,law.invention ,law ,Ab initio quantum chemistry methods ,Monolayer ,Bilayer ,Heterojunction ,General Chemistry ,General Medicine ,021001 nanoscience & nanotechnology ,Layer thickness ,0104 chemical sciences ,Crystallography ,Chemical physics ,engineering ,Electron microscope ,0210 nano-technology ,Experimental challenge - Abstract
The discovery of emergent phenomena in two-dimensional (2D) materials has sparked substantial research efforts in the materials community. A significant experimental challenge for this field is exerting atomistic control over the structure and composition of the constituent 2D layers and understanding how the interactions between layers drives both structure and properties. Segregation of Pb to the surface of three bilayer thick PbSe-SnSe alloy layers was discovered within [(PbxSn1-xSe)1+δ]n(TiSe2)1 heterostructures using electron microscopy. We demonstrate that this segregation is thermodynamically favored to occur when PbxSn1-xSe layers are interdigitated with TiSe2 monolayers. Density-functional theory (DFT) calculations indicate that the observed segregation depends on what is adjacent to the PbxSn1-xSe layers. The interplay between interface and volume free energies controls both the structure and composition of the constituent layers, which can be tuned using layer thickness.
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- 2017
9. Membrane-assisted crystallization: Membrane characterization, modelling and experiments
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Herman J. M. Kramer, Kiran Mathew Thomas, and Fatemeh Anisi
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Supersaturation ,Chemistry ,Applied Mathematics ,General Chemical Engineering ,Analytical chemistry ,02 engineering and technology ,General Chemistry ,021001 nanoscience & nanotechnology ,Membrane distillation ,Industrial and Manufacturing Engineering ,law.invention ,Volumetric flow rate ,Membrane ,020401 chemical engineering ,Chemical engineering ,law ,Hollow fiber membrane ,Scientific method ,Mass transfer ,0204 chemical engineering ,Crystallization ,0210 nano-technology - Abstract
A hollow fiber membrane module was assessed for its potential in assisting crystallization processes. The membrane module was characterized in the sweeping gas membrane distillation configuration considering various solution and sweeping gas flow rates, temperatures and solution concentrations. A model, coupling mass and heat transfer, was developed to predict the membrane flux. The effect of the process conditions on the membrane flux was experimentally determined and the results were used to validate the model. Feed temperature and air flow rate were found to have a significant effect on the membrane flux. Having found the optimal process conditions for membrane distillation process, batch seeded crystallization experiment were performed to confirm the potential of membrane distillation in the generation of adequate rate and level of supersaturation. Since the desired supersaturation level could be maintained in the crystallizer while seeds were growing, it is confirmed that membrane distillation can be an efficient alternative to conventional supersaturation generation processes. Finally, comparing the modelling results with experiments confirms the acceptable accuracy and predictability capability of the developed model.
- Published
- 2017
10. Evaluation of thermodynamic equations of state across chemistry and structure in the materials project
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Donald Winston, Kristin A. Persson, Katherine Latimer, Shyam Dwaraknath, and Kiran Mathew
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lcsh:Computer software ,Bulk modulus ,02 engineering and technology ,010402 general chemistry ,021001 nanoscience & nanotechnology ,Thermodynamic equations ,01 natural sciences ,0104 chemical sciences ,Computer Science Applications ,Experimental testing ,lcsh:QA76.75-76.765 ,Affordable and Clean Energy ,Mechanics of Materials ,Modeling and Simulation ,Single equation ,lcsh:TA401-492 ,General Materials Science ,lcsh:Materials of engineering and construction. Mechanics of materials ,Statistical physics ,Entropy (energy dispersal) ,0210 nano-technology - Abstract
Thermodynamic equations of state (EOS) for crystalline solids describe material behaviors under changes in pressure, volume, entropy and temperature, making them fundamental to scientific research in a wide range of fields including geophysics, energy storage and development of novel materials. Despite over a century of theoretical development and experimental testing of energy–volume (E–V) EOS for solids, there is still a lack of consensus with regard to which equation is indeed optimal, as well as to what metric is most appropriate for making this judgment. In this study, several metrics were used to evaluate quality of fit for 8 different EOS across 87 elements and over 100 compounds which appear in the literature. Our findings do not indicate a clear “best” EOS, but we identify three which consistently perform well relative to the rest of the set. Furthermore, we find that for the aggregate data set, the RMSrD is not strongly correlated with the nature of the compound, e.g., whether it is a metal, insulator, or semiconductor, nor the bulk modulus for any of the EOS, indicating that a single equation can be used across a broad range of classes of materials.
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- 2018
11. Automated generation and ensemble-learned matching of X-ray absorption spectra
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Kristin A. Persson, John J. Rehr, Joshua J. Kas, Alan Dozier, Kiran Mathew, Fernando D. Vila, Chen Zheng, Hanmei Tang, Chi Chen, Yiming Chen, Shyue Ping Ong, and Louis F. J. Piper
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Materials science ,Matching (graph theory) ,FOS: Physical sciences ,02 engineering and technology ,010402 general chemistry ,01 natural sciences ,Computational science ,Set (abstract data type) ,lcsh:TA401-492 ,Preprocessor ,General Materials Science ,lcsh:Computer software ,Condensed Matter - Materials Science ,Computer program ,Materials Science (cond-mat.mtrl-sci) ,021001 nanoscience & nanotechnology ,3. Good health ,0104 chemical sciences ,Computer Science Applications ,Characterization (materials science) ,Identification (information) ,lcsh:QA76.75-76.765 ,Mechanics of Materials ,Modeling and Simulation ,Test set ,Metric (mathematics) ,lcsh:Materials of engineering and construction. Mechanics of materials ,0210 nano-technology - Abstract
We report the development of XASdb, a large database of computed reference X-ray absorption spectra (XAS), and a novel Ensemble-Learned Spectra IdEntification (ELSIE) algorithm for the matching of spectra. XASdb currently hosts more than 300,000 K-edge X-ray absorption near-edge spectra (XANES) for over 30,000 materials from the open-science Materials Project database. We discuss a high-throughput automation framework for FEFF calculations, built on robust, rigorously benchmarked parameters. We will demonstrate that the ELSIE algorithm, which combines 33 weak "learners" comprising a set of preprocessing steps and a similarity metric, can achieve up to 84.2% accuracy in identifying the correct oxidation state and coordination environment of a test set of 19 K-edge XANES spectra encompassing a diverse range of chemistries and crystal structures. The XASdb with the ELSIE algorithm has been integrated into a web application in the Materials Project, providing an important new public resource for the analysis of XAS to all materials researchers. Finally, the ELSIE algorithm itself has been made available as part of Veidt, an open source machine learning library for materials science., 19 Pages, 5 Figures, 1 Table
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- 2018
12. MPInterfaces: A Materials Project based Python tool for high-throughput computational screening of interfacial systems
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Richard G. Hennig, Kiran Mathew, Arunima K. Singh, Albert V. Davydov, Joshua J. Gabriel, Kamal Choudhary, Susan B. Sinnott, and Francesca Tavazza
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Materials science ,General Computer Science ,FOS: Physical sciences ,General Physics and Astronomy ,New materials ,Nanotechnology ,02 engineering and technology ,Advanced materials ,010402 general chemistry ,01 natural sciences ,General Materials Science ,Computational analysis ,computer.programming_language ,Condensed Matter - Materials Science ,business.industry ,Materials Science (cond-mat.mtrl-sci) ,General Chemistry ,Python (programming language) ,021001 nanoscience & nanotechnology ,0104 chemical sciences ,Computational Mathematics ,Workflow ,Test case ,Mechanics of Materials ,Software deployment ,Project based ,0210 nano-technology ,Software engineering ,business ,computer - Abstract
A Materials Project based open-source Python tool, MPInterfaces, has been developed to automate the high-throughput computational screening and study of interfacial systems. The framework encompasses creation and manipulation of interface structures for solid/solid hetero-structures, solid/implicit solvents systems, nanoparticle/ligands systems; and the creation of simple system-agnostic workflows for in depth computational analysis using density-functional theory or empirical energy models. The package leverages existing open-source high-throughput tools and extends their capabilities towards the understanding of interfacial systems. We describe the various algorithms and methods implemented in the package. Using several test cases, we demonstrate how the package enables high-throughput computational screening of advanced materials, directly contributing to the Materials Genome Initiative (MGI), which aims to accelerate the discovery, development, and deployment of new materials.
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- 2016
13. Dynamical properties of AlN nanostructures and heterogeneous interfaces predicted using COMB potentials
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Simon R. Phillpot, Benjamin C. Revard, Richard G. Hennig, Tao Liang, Susan B. Sinnott, Kiran Mathew, Kamal Choudhary, and Aleksandr V. Chernatynskiy
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Range (particle radiation) ,Materials science ,Nanostructure ,General Computer Science ,Phonon ,Nanowire ,General Physics and Astronomy ,chemistry.chemical_element ,Charge (physics) ,02 engineering and technology ,General Chemistry ,021001 nanoscience & nanotechnology ,01 natural sciences ,Computational Mathematics ,chemistry ,Mechanics of Materials ,Chemical physics ,Computational chemistry ,Aluminium ,0103 physical sciences ,General Materials Science ,Tensile response ,010306 general physics ,0210 nano-technology ,Cohesive energy - Abstract
A new empirical variable charge potential has been developed for AlN within the third-generation charge optimized many-body (COMB3) potential framework. The potential is able to reproduce the fundamental physical properties of AlN, including cohesive energy, elastic constants, defect formation energies, surface energies and phonon properties of AlN obtained from experiments and first-principles calculations. The thermodynamic properties of the Al(1 1 1)-AlN ( 1 0 1 ¯ 0 ) and Al 2 O 3 (0 0 0 1)-AlN ( 1 0 1 ¯ 0 ) interfaces and the tensile response of AlN nanowires and nanotubes are investigated in classical molecular dynamical (MD) simulations using this COMB3 potential. The results demonstrate that the potential is well suited to model heterogeneous materials in the Al–O–N system. Most importantly, the fully transferrable potential parameters can be seamlessly coupled with existing COMB3 parameters of other elements to enable MD simulations for an even wider range of heterogeneous materials systems.
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- 2016
14. High-throughput computational X-ray absorption spectroscopy
- Author
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Kristin A. Persson, Chen Zheng, Chi Chen, Alan Dozier, Kiran Mathew, John J. Rehr, Shyue Ping Ong, and Donald Winston
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Statistics and Probability ,Data Descriptor ,Materials science ,Absorption spectroscopy ,02 engineering and technology ,Library and Information Sciences ,010402 general chemistry ,01 natural sciences ,Spectral line ,Education ,Absorption (electromagnetic radiation) ,Throughput (business) ,X-ray absorption spectroscopy ,Scientific data ,021001 nanoscience & nanotechnology ,XANES ,0104 chemical sciences ,Characterization (materials science) ,Computational physics ,Computer Science Applications ,Multiple scattering theory ,Atomistic models ,Statistics, Probability and Uncertainty ,0210 nano-technology ,Information Systems - Abstract
X-ray absorption spectroscopy (XAS) is a widely-used materials characterization technique. In this work we present a database of computed XAS spectra, using the Green's formulation of the multiple scattering theory implemented in the FEFF code. With more than 500,000 K-edge X-ray absorption near edge (XANES) spectra for more than 40,000 unique materials, this database constitutes the largest existing collection of computed XAS spectra to date. The data is openly distributed via the Materials Project, enabling researchers across the world to access it for free and use it for comparisons with experiments and further analysis.
- Published
- 2018
15. Interfering Quantum Trajectories Without Which-Way Information
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Moncy V. John and Kiran Mathew
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Physics ,De Broglie–Bohm theory ,Quantum Physics ,010308 nuclear & particles physics ,Wave packet ,FOS: Physical sciences ,General Physics and Astronomy ,Interference (wave propagation) ,01 natural sciences ,Wave–particle duality ,Classical mechanics ,0103 physical sciences ,Double-slit experiment ,Matter wave ,Quantum Physics (quant-ph) ,010306 general physics ,Quantum ,Stationary state - Abstract
Quantum trajectory-based descriptions of interference between two coherent stationary waves in a double-slit experiment are presented, as given by the de Broglie-Bohm (dBB) and modified de Broglie-Bohm (MdBB) formulations of quantum mechanics. In the dBB trajectory representation, interference between two spreading wave packets can be shown also as resulting from motion of particles. But a trajectory explanation for interference between stationary states is so far not available in this scheme. We show that both the dBB and MdBB trajectories are capable of producing the interference pattern for stationary as well as wave packet states. However, the dBB representation is found to provide the `which-way' information that helps to identify the hole through which the particle emanates. On the other hand, the MdBB representation does not provide any which-way information while giving a satisfactory explanation of interference phenomenon in tune with the de Broglie's wave particle duality. By counting the trajectories reaching the screen, we have numerically evaluated the intensity distribution of the fringes and found very good agreement with the standard results.
- Published
- 2018
16. Position Measurement-Induced Collapse: A Unified Quantum Description of Fraunhofer and Fresnel Diffractions
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Kiran Mathew and Moncy V. John
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Physics ,Diffraction ,Quantum Physics ,010308 nuclear & particles physics ,General Physics and Astronomy ,FOS: Physical sciences ,Eigenfunction ,01 natural sciences ,Classical mechanics ,Position (vector) ,0103 physical sciences ,Coherent states ,010306 general physics ,Wave function ,Wave function collapse ,Quantum Physics (quant-ph) ,Quantum ,Harmonic oscillator - Abstract
Position measurement-induced collapse states are shown to provide a unified quantum description of diffraction of particles passing through a single slit. These states, which we here call `quantum location states', are represented by the conventional rectangular wave function at the initial moment of position measurement. We expand this state in terms of the position eigenstates, which in turn can be represented as a linear combination of energy eigenfunctions of the problem, using the closure property. The time-evolution of the location states in the case of free particles is shown to have position probability density patterns closely resembling diffraction patterns in the Fresnel region for small times and the same in Fraunhofer region for large times. Using the quantum trajectory representations in the de Broglie-Bohm, modified de Broglie-Bohm and Floyd-Faraggi-Matone formalisms, we show that Fresnel and Fraunhofer diffractions can be described using a single expression. We also discuss how to obtain the probability density of location states for the case of particles moving in a general potential, detected at some arbitrary point. In the case of the harmonic oscillator potential, we find that they have oscillatory properties similar to that of coherent states., Comment: Minor changes
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- 2018
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17. Correction to 'Predicting the Electrochemical Synthesis of 2D Materials from First-Principles'
- Author
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Michael Ashton, Richard G. Hennig, Kiran Mathew, Christoph Freysoldt, Nicole Trometer, Susan B. Sinnott, and Jin Suntivich
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General Energy ,Materials science ,Nanotechnology ,Physical and Theoretical Chemistry ,Electrochemistry ,Surfaces, Coatings and Films ,Electronic, Optical and Magnetic Materials - Published
- 2019
18. Implicit self-consistent electrolyte model in plane-wave density-functional theory
- Author
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V. S. Chaitanya Kolluru, Kiran Mathew, Srinidhi Mula, Richard G. Hennig, Stephan N. Steinmann, Cornell University [New York], University of Florida [Gainesville] (UF), Laboratoire de Chimie - UMR5182 (LC), Centre National de la Recherche Scientifique (CNRS)-Université Claude Bernard Lyon 1 (UCBL), Université de Lyon-Université de Lyon-École normale supérieure - Lyon (ENS Lyon)-Institut de Chimie du CNRS (INC), École normale supérieure de Lyon (ENS de Lyon)-Université Claude Bernard Lyon 1 (UCBL), and Université de Lyon-Université de Lyon-Institut de Chimie du CNRS (INC)-Centre National de la Recherche Scientifique (CNRS)
- Subjects
Condensed Matter - Materials Science ,Work (thermodynamics) ,Materials science ,010304 chemical physics ,Implicit solvation ,Ab initio ,Degrees of freedom (physics and chemistry) ,General Physics and Astronomy ,Materials Science (cond-mat.mtrl-sci) ,FOS: Physical sciences ,Electrolyte ,[CHIM.CATA]Chemical Sciences/Catalysis ,010402 general chemistry ,01 natural sciences ,Surface energy ,0104 chemical sciences ,[CHIM.THEO]Chemical Sciences/Theoretical and/or physical chemistry ,0103 physical sciences ,Physics::Atomic and Molecular Clusters ,Density functional theory ,Electric potential ,Statistical physics ,Physical and Theoretical Chemistry ,Physics::Chemical Physics - Abstract
International audience; The ab-initio computational treatment of electrochemical systems requires an appropriate treatment of the solid/liquid interfaces. A fully quantum mechanical treatment of the interface is computationally demanding due to the large number of degrees of freedom involved. In this work, we describe a computationally efficient model where the electrode part of the interface is described at the density-functional theory (DFT) level, and the electrolyte part is represented through an implicit solvation model based on the Poisson-Boltzmann equation. We describe the implementation of the linearized Poisson-Boltzmann equation into the Vienna Ab-initio Simulation Package (VASP), a widely used DFT code, followed by validation and benchmarking of the method. To demonstrate the utility of the implicit electrolyte model, we apply it to study the surface energy of Cu crystal facets in an aqueous electrolyte as a function of applied electric potential. We show that the applied potential enables the control of the shape of nanocrystals from an octahedral to a truncated octahedral morphology with increasing potential.
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- 2016
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19. Creation of an XAS and EELS Spectroscopy Resource within the Materials Project using FEFF9
- Author
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John J. Rehr, Chen Zheng, Shyue Ping Ong, Alan Dozier, Chi Chen, Joshua J. Kas, Kristin A. Persson, Fernando D. Vila, and Kiran Mathew
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X-ray absorption spectroscopy ,Resource (project management) ,Materials science ,Nanotechnology ,02 engineering and technology ,010402 general chemistry ,021001 nanoscience & nanotechnology ,0210 nano-technology ,Spectroscopy ,01 natural sciences ,Instrumentation ,0104 chemical sciences - Published
- 2017
20. Author Correction: Automated generation and ensemble-learned matching of X-ray absorption spectra
- Author
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John J. Rehr, Louis F. J. Piper, Chen Zheng, Shyue Ping Ong, Yiming Chen, Joshua J. Kas, Kristin A. Persson, Chi Chen, Kiran Mathew, Hanmei Tang, Alan Dozier, and Fernando D. Vila
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Physics ,lcsh:Computer software ,Matching (statistics) ,Absorption spectroscopy ,business.industry ,Foundation (engineering) ,Computer Science Applications ,Optics ,lcsh:QA76.75-76.765 ,Mechanics of Materials ,Section (archaeology) ,Modeling and Simulation ,lcsh:TA401-492 ,General Materials Science ,lcsh:Materials of engineering and construction. Mechanics of materials ,business - Abstract
The following text has been added to the Acknowledgements section: “L. F. J. P. acknowledges support from the National Science Foundation (DMREF-1627583)”
- Published
- 2018
21. Tunneling in energy eigenstates and complex quantum trajectories
- Author
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Kiran Mathew and Moncy V. John
- Subjects
Physics ,Quantum Physics ,FOS: Physical sciences ,Probability density function ,Interpretations of quantum mechanics ,Atomic and Molecular Physics, and Optics ,Solution of Schrödinger equation for a step potential ,Reflection (mathematics) ,Quantum mechanics ,Rectangular potential barrier ,Quantum Physics (quant-ph) ,Quantum ,Mathematical Physics ,Quantum tunnelling ,Ansatz - Abstract
Complex quantum trajectory approach, which arose from a modified de Broglie-Bohm interpretation of quantum mechanics, has attracted much attention in recent years. The exact complex trajectories for the Eckart potential barrier and the soft potential step, plotted in a previous work, show that more trajectories link the left and right regions of the barrier, when the energy is increased. In this paper, we evaluate the reflection probability using a new ansatz based on these observations, as the ratio between the total probabilities of reflected and incident trajectories. While doing this, we also put to test the complex-extended probability density previously postulated for these quantum trajectories. The new ansatz is preferred since the evaluation is solely done with the help of the complex-extended probability density along the imaginary direction and the trajectory pattern itself. The calculations are performed for a rectangular potential barrier, symmetric Eckart and Morse barriers, and a soft potential step. The predictions are in perfect agreement with the standard results for potentials such as the rectangular potential barrier. For the other potentials, there is very good agreement with standard results, but it is exact only for low and high energies. For moderate energies, there are slight deviations. These deviations result from the periodicity of the trajectory pattern along the imaginary axis and have a maximum value only as much as $0.1 \%$ of the standard value. Measurement of such deviation shall provide an opportunity to falsify the ansatz., Comment: Submitted version
- Published
- 2015
- Full Text
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22. Implicit solvation model for density-functional study of nanocrystal surfaces and reaction pathways
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Ravishankar Sundararaman, Kiran Mathew, Kendra Letchworth-Weaver, Tomas Arias, and Richard G. Hennig
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Surface (mathematics) ,Work (thermodynamics) ,Condensed Matter - Materials Science ,Materials science ,Implicit solvation ,Solvation ,Materials Science (cond-mat.mtrl-sci) ,FOS: Physical sciences ,General Physics and Astronomy ,02 engineering and technology ,010402 general chemistry ,021001 nanoscience & nanotechnology ,01 natural sciences ,0104 chemical sciences ,Nanocrystal ,Chemical physics ,Density functional theory ,Physical and Theoretical Chemistry ,Solvent effects ,0210 nano-technology ,Energy (signal processing) - Abstract
Solid-liquid interfaces are at the heart of many modern-day technologies and provide a challenge to many materials simulation methods. A realistic first-principles computational study of such systems entails the inclusion of solvent effects. In this work, we implement an implicit solvation model that has a firm theoretical foundation into the widely used density-functional code Vienna ab initio Software Package. The implicit solvation model follows the framework of joint density functional theory. We describe the framework, our algorithm and implementation, and benchmarks for small molecular systems. We apply the solvation model to study the surface energies of different facets of semiconducting and metallic nanocrystals and the SN2 reaction pathway. We find that solvation reduces the surface energies of the nanocrystals, especially for the semiconducting ones and increases the energy barrier of the SN2 reaction.
- Published
- 2013
23. Coherent States and Modified de Broglie-Bohm Complex Quantum Trajectories
- Author
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Kiran Mathew and Moncy V. John
- Subjects
Physics ,High Energy Physics - Theory ,Quantum Physics ,General Physics and Astronomy ,FOS: Physical sciences ,Supersymmetry ,Mathematical Physics (math-ph) ,Particle in a box ,Quantum number ,Classical mechanics ,High Energy Physics - Theory (hep-th) ,Coherent states ,Matter wave ,Quantum Physics (quant-ph) ,Complex plane ,Quantum ,Harmonic oscillator ,Mathematical Physics - Abstract
This paper examines the nature of classical correspondence in the case of coherent states at the level of quantum trajectories. We first show that for a harmonic oscillator, the coherent state complex quantum trajectories and the complex classical trajectories are identical to each other. This congruence in the complex plane, not restricted to high quantum numbers alone, illustrates that the harmonic oscillator in a coherent state executes classical motion. The quantum trajectories are those conceived in a modified de Broglie-Bohm scheme and we note that identical classical and quantum trajectories for coherent states are obtained only in the present approach. The study is extended to Gazeau-Klauder and SUSY quantum mechanics-based coherent states of a particle in an infinite potential well and that in a symmetric Poschl-Teller (PT) potential by solving for the trajectories numerically. For the coherent state of the infinite potential well, almost identical classical and quantum trajectories are obtained whereas for the PT potential, though classical trajectories are not regained, a periodic motion results as t --> \infty., More examples
- Published
- 2011
- Full Text
- View/download PDF
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