Accelerated Time Propagation in Time-dependent Density Functional Theory

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Publisher :
ISBN 13 :
Total Pages : 135 pages
Book Rating : 4.:/5 (14 download)

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Book Synopsis Accelerated Time Propagation in Time-dependent Density Functional Theory by : Daniel Wayne Kidd

Download or read book Accelerated Time Propagation in Time-dependent Density Functional Theory written by Daniel Wayne Kidd and published by . This book was released on 2018 with total page 135 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Time-Dependent Density-Functional Theory

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Publisher : Oxford University Press
ISBN 13 : 0199563020
Total Pages : 541 pages
Book Rating : 4.1/5 (995 download)

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Book Synopsis Time-Dependent Density-Functional Theory by : Carsten Ullrich

Download or read book Time-Dependent Density-Functional Theory written by Carsten Ullrich and published by Oxford University Press. This book was released on 2012 with total page 541 pages. Available in PDF, EPUB and Kindle. Book excerpt: Time-dependent density-functional theory (TDDFT) is a quantum mechanical approach for the dynamical properties of electrons in matter. It's widely used in (bio)chemistry and physics to calculate molecular excitation energies and optical properties of materials. This is the first graduate-level text on the formal framework and applications of TDDFT.

Fundamentals of Time-Dependent Density Functional Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 3642235174
Total Pages : 573 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Fundamentals of Time-Dependent Density Functional Theory by : Miguel A.L. Marques

Download or read book Fundamentals of Time-Dependent Density Functional Theory written by Miguel A.L. Marques and published by Springer Science & Business Media. This book was released on 2012-01-20 with total page 573 pages. Available in PDF, EPUB and Kindle. Book excerpt: There have been many significant advances in time-dependent density functional theory over recent years, both in enlightening the fundamental theoretical basis of the theory, as well as in computational algorithms and applications. This book, as successor to the highly successful volume Time-Dependent Density Functional Theory (Lect. Notes Phys. 706, 2006) brings together for the first time all recent developments in a systematic and coherent way. First, a thorough pedagogical presentation of the fundamental theory is given, clarifying aspects of the original proofs and theorems, as well as presenting fresh developments that extend the theory into new realms—such as alternative proofs of the original Runge-Gross theorem, open quantum systems, and dispersion forces to name but a few. Next, all of the basic concepts are introduced sequentially and building in complexity, eventually reaching the level of open problems of interest. Contemporary applications of the theory are discussed, from real-time coupled-electron-ion dynamics, to excited-state dynamics and molecular transport. Last but not least, the authors introduce and review recent advances in computational implementation, including massively parallel architectures and graphical processing units. Special care has been taken in editing this volume as a multi-author textbook, following a coherent line of thought, and making all the relevant connections between chapters and concepts consistent throughout. As such it will prove to be the text of reference in this field, both for beginners as well as expert researchers and lecturers teaching advanced quantum mechanical methods to model complex physical systems, from molecules to nanostructures, from biocomplexes to surfaces, solids and liquids. From the reviews of LNP 706: “This is a well structured text, with a common set of notations and a single comprehensive and up-to-date list of references, rather than just a compilation of research articles. Because of its clear organization, the book can be used by novices (basic knowledge of ground-state DFT is assumed) and experienced users of TD-DFT, as well as developers in the field.” (Anna I. Krylov, Journal of the American Chemical Society, Vol. 129 (21), 2007) “This book is a treasure of knowledge and I highly recommend it. Although it is a compilation of chapters written by many different leading researchers involved in development and application of TDDFT, the contributors have taken great care to make sure the book is pedagogically sound and the chapters complement each other [...]. It is highly accessible to any graduate student of chemistry or physics with a solid grounding in many-particle quantum mechanics, wishing to understand both the fundamental theory as well as the exponentially growing number of applications. [...] In any case, no matter what your background is, it is a must-read and an excellent reference to have on your shelf.” Amazon.com, October 15, 2008, David Tempel (Cambridge, MA)

Fundamentals of Time-Dependent Density Functional Theory

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 3642235182
Total Pages : 573 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Fundamentals of Time-Dependent Density Functional Theory by : Miguel A.L. Marques

Download or read book Fundamentals of Time-Dependent Density Functional Theory written by Miguel A.L. Marques and published by Springer Science & Business Media. This book was released on 2012-01-21 with total page 573 pages. Available in PDF, EPUB and Kindle. Book excerpt: There have been many significant advances in time-dependent density functional theory over recent years, both in enlightening the fundamental theoretical basis of the theory, as well as in computational algorithms and applications. This book, as successor to the highly successful volume Time-Dependent Density Functional Theory (Lect. Notes Phys. 706, 2006) brings together for the first time all recent developments in a systematic and coherent way. First, a thorough pedagogical presentation of the fundamental theory is given, clarifying aspects of the original proofs and theorems, as well as presenting fresh developments that extend the theory into new realms—such as alternative proofs of the original Runge-Gross theorem, open quantum systems, and dispersion forces to name but a few. Next, all of the basic concepts are introduced sequentially and building in complexity, eventually reaching the level of open problems of interest. Contemporary applications of the theory are discussed, from real-time coupled-electron-ion dynamics, to excited-state dynamics and molecular transport. Last but not least, the authors introduce and review recent advances in computational implementation, including massively parallel architectures and graphical processing units. Special care has been taken in editing this volume as a multi-author textbook, following a coherent line of thought, and making all the relevant connections between chapters and concepts consistent throughout. As such it will prove to be the text of reference in this field, both for beginners as well as expert researchers and lecturers teaching advanced quantum mechanical methods to model complex physical systems, from molecules to nanostructures, from biocomplexes to surfaces, solids and liquids. From the reviews of LNP 706: “This is a well structured text, with a common set of notations and a single comprehensive and up-to-date list of references, rather than just a compilation of research articles. Because of its clear organization, the book can be used by novices (basic knowledge of ground-state DFT is assumed) and experienced users of TD-DFT, as well as developers in the field.” (Anna I. Krylov, Journal of the American Chemical Society, Vol. 129 (21), 2007) “This book is a treasure of knowledge and I highly recommend it. Although it is a compilation of chapters written by many different leading researchers involved in development and application of TDDFT, the contributors have taken great care to make sure the book is pedagogically sound and the chapters complement each other [...]. It is highly accessible to any graduate student of chemistry or physics with a solid grounding in many-particle quantum mechanics, wishing to understand both the fundamental theory as well as the exponentially growing number of applications. [...] In any case, no matter what your background is, it is a must-read and an excellent reference to have on your shelf.” Amazon.com, October 15, 2008, David Tempel (Cambridge, MA)

Time-Dependent Density Functional Theory

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Publisher : Springer
ISBN 13 : 3540354263
Total Pages : 603 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Time-Dependent Density Functional Theory by : Miguel A.L. Marques

Download or read book Time-Dependent Density Functional Theory written by Miguel A.L. Marques and published by Springer. This book was released on 2006-09-12 with total page 603 pages. Available in PDF, EPUB and Kindle. Book excerpt: The year 2004 was a remarkable one for the growing ?eld of time-dependent density functional theory (TDDFT). Not only did we celebrate the 40th - niversary of the Hohenberg-Kohn paper, which had laid the foundation for ground-state density functional theory (DFT), but it was also the 20th - niversary of the work by Runge and Gross, establishing a ?rm footing for the time-dependent theory. Because the ?eld has grown to such prominence, and has spread to so many areas of science (from materials to biochemistry), we feel that a volume dedicated to TDDFT is most timely. TDDFT is based on a set of ideas and theorems quite distinct from those governingground-stateDFT,butemployingsimilar techniques.Itisfarmore than just applying ground-state DFT to time-dependent problems, as it - volves its own exact theorems and new and di?erent density functionals. Presently,themostpopularapplicationistheextractionofelectronicexcit- state properties, especially transition frequencies. By applying TDDFT after thegroundstateofamoleculehasbeenfound,wecanexploreandunderstand the complexity of its spectrum, thus providing much more information about the species. TDDFT has a especially strong impact in the photochemistry of biological molecules, where the molecules are too large to be handled by t- ditional quantum chemical methods, and are too complex to be understood with simple empirical frontier orbital theory.

Molecular Electronic-Structure Theory

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Publisher : John Wiley & Sons
ISBN 13 : 1119019559
Total Pages : 949 pages
Book Rating : 4.1/5 (19 download)

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Book Synopsis Molecular Electronic-Structure Theory by : Trygve Helgaker

Download or read book Molecular Electronic-Structure Theory written by Trygve Helgaker and published by John Wiley & Sons. This book was released on 2014-08-11 with total page 949 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ab initio quantum chemistry has emerged as an important tool in chemical research and is appliced to a wide variety of problems in chemistry and molecular physics. Recent developments of computational methods have enabled previously intractable chemical problems to be solved using rigorous quantum-mechanical methods. This is the first comprehensive, up-to-date and technical work to cover all the important aspects of modern molecular electronic-structure theory. Topics covered in the book include: * Second quantization with spin adaptation * Gaussian basis sets and molecular-integral evaluation * Hartree-Fock theory * Configuration-interaction and multi-configurational self-consistent theory * Coupled-cluster theory for ground and excited states * Perturbation theory for single- and multi-configurational states * Linear-scaling techniques and the fast multipole method * Explicity correlated wave functions * Basis-set convergence and extrapolation * Calibration and benchmarking of computational methods, with applications to moelcular equilibrium structure, atomization energies and reaction enthalpies. Molecular Electronic-Structure Theory makes extensive use of numerical examples, designed to illustrate the strengths and weaknesses of each method treated. In addition, statements about the usefulness and deficiencies of the various methods are supported by actual examples, not just model calculations. Problems and exercises are provided at the end of each chapter, complete with hints and solutions. This book is a must for researchers in the field of quantum chemistry as well as for nonspecialists who wish to acquire a thorough understanding of ab initio molecular electronic-structure theory and its applications to problems in chemistry and physics. It is also highly recommended for the teaching of graduates and advanced undergraduates.

Time-Dependent Density Functional Theory

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Publisher : Springer
ISBN 13 : 9783540825692
Total Pages : 555 pages
Book Rating : 4.8/5 (256 download)

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Book Synopsis Time-Dependent Density Functional Theory by : Miguel A.L. Marques

Download or read book Time-Dependent Density Functional Theory written by Miguel A.L. Marques and published by Springer. This book was released on 2009-09-02 with total page 555 pages. Available in PDF, EPUB and Kindle. Book excerpt: The year 2004 was a remarkable one for the growing ?eld of time-dependent density functional theory (TDDFT). Not only did we celebrate the 40th - niversary of the Hohenberg-Kohn paper, which had laid the foundation for ground-state density functional theory (DFT), but it was also the 20th - niversary of the work by Runge and Gross, establishing a ?rm footing for the time-dependent theory. Because the ?eld has grown to such prominence, and has spread to so many areas of science (from materials to biochemistry), we feel that a volume dedicated to TDDFT is most timely. TDDFT is based on a set of ideas and theorems quite distinct from those governingground-stateDFT,butemployingsimilar techniques.Itisfarmore than just applying ground-state DFT to time-dependent problems, as it - volves its own exact theorems and new and di?erent density functionals. Presently,themostpopularapplicationistheextractionofelectronicexcit- state properties, especially transition frequencies. By applying TDDFT after thegroundstateofamoleculehasbeenfound,wecanexploreandunderstand the complexity of its spectrum, thus providing much more information about the species. TDDFT has a especially strong impact in the photochemistry of biological molecules, where the molecules are too large to be handled by t- ditional quantum chemical methods, and are too complex to be understood with simple empirical frontier orbital theory.

Time-Dependent Density Functional Theory

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Publisher : CRC Press
ISBN 13 : 1000647072
Total Pages : 520 pages
Book Rating : 4.0/5 (6 download)

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Book Synopsis Time-Dependent Density Functional Theory by : Chaoyuan Zhu

Download or read book Time-Dependent Density Functional Theory written by Chaoyuan Zhu and published by CRC Press. This book was released on 2022-12-29 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent decades, time-dependent density functional theory has been developed for computing excited-state properties of large-scale systems to high accuracy in biomolecules and nanomaterials, especially for ab initio nonadiabatic molecular dynamic simulations. It is therefore regarded as a most unique efficient method to do accurate simulation for large complex systems. This book compiles and details cutting-edge research in quantum chemistry and chemical physics from interdisciplinary groups from Japan, China, South Korea, the United States, Hong Kong, and Taiwan. These groups are developing excited-state dynamics methods involving conical intersections and intersystem crossings for large complex systems. Edited by Chaoyuan Zhu, a prominent chemical physics researcher, this book will appeal to anyone involved in molecular dynamics and spectroscopy, photochemistry, biochemistry, and materials chemistry research.

Novel Electronic Structure Theory: General Innovations and Strongly Correlated Systems

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Publisher : Academic Press
ISBN 13 : 0128130032
Total Pages : 376 pages
Book Rating : 4.1/5 (281 download)

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Book Synopsis Novel Electronic Structure Theory: General Innovations and Strongly Correlated Systems by :

Download or read book Novel Electronic Structure Theory: General Innovations and Strongly Correlated Systems written by and published by Academic Press. This book was released on 2018-01-03 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: Novel Electronic Structure Theory: General Innovations and Strongly Correlated Systems, Volume 76, the latest release in the Advances in Quantum Chemistry series presents work and reviews of current work in quantum chemistry (molecules), but also includes scattering from atoms and solid state work of interest in physics. Topics covered in this release include the Present Status of Selected Configuration Interaction with Truncation Energy Error, Recent Developments in Asymptotic Expansions from Numerical Analysis and Approximation Theory, The kinetic energy Pauli enhancement factor and its role in determining the shell structure of atoms and molecules, Numerical Hartree-Fock and Many-Body Calculations for Diatomic Molecules, and more. - Provides reports on current work in molecular and atomic quantum mechanics - Contains work reported by many of the best scientists in the field - Presents the latest release in the Advances in Quantum Chemistry series

Density Functional Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 3642140904
Total Pages : 543 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Density Functional Theory by : Eberhard Engel

Download or read book Density Functional Theory written by Eberhard Engel and published by Springer Science & Business Media. This book was released on 2011-02-14 with total page 543 pages. Available in PDF, EPUB and Kindle. Book excerpt: Density Functional Theory (DFT) has firmly established itself as the workhorse for atomic-level simulations of condensed phases, pure or composite materials and quantum chemical systems. This work offers a rigorous and detailed introduction to the foundations of this theory, up to and including such advanced topics as orbital-dependent functionals as well as both time-dependent and relativistic DFT. Given the many ramifications of contemporary DFT, the text concentrates on the self-contained presentation of the basics of the most widely used DFT variants: this implies a thorough discussion of the corresponding existence theorems and effective single particle equations, as well as of key approximations utilized in implementations. The formal results are complemented by selected quantitative results, which primarily aim at illustrating the strengths and weaknesses of particular approaches or functionals. The structure and content of this book allow a tutorial and modular self-study approach: the reader will find that all concepts of many-body theory which are indispensable for the discussion of DFT - such as the single-particle Green's function or response functions - are introduced step by step, along with the actual DFT material. The same applies to basic notions of solid state theory, such as the Fermi surface of inhomogeneous, interacting systems. In fact, even the language of second quantization is introduced systematically in an Appendix for readers without formal training in many-body theory.

Iterative Methods for Sparse Linear Systems

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Publisher : SIAM
ISBN 13 : 0898715342
Total Pages : 537 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis Iterative Methods for Sparse Linear Systems by : Yousef Saad

Download or read book Iterative Methods for Sparse Linear Systems written by Yousef Saad and published by SIAM. This book was released on 2003-04-01 with total page 537 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics of Computing -- General.

Density Functional Theory in Quantum Chemistry

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Publisher : Springer Science & Business Media
ISBN 13 : 4431548254
Total Pages : 207 pages
Book Rating : 4.4/5 (315 download)

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Book Synopsis Density Functional Theory in Quantum Chemistry by : Takao Tsuneda

Download or read book Density Functional Theory in Quantum Chemistry written by Takao Tsuneda and published by Springer Science & Business Media. This book was released on 2014-02-18 with total page 207 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, density functional theory (DFT) is introduced within the overall context of quantum chemistry. DFT has become the most frequently used theory in quantum chemistry calculations. However, thus far, there has been no book on the fundamentals of DFT that uses the terminology and methodology of quantum chemistry, which is familiar to many chemists, including experimentalists. This book first reviews the basic concepts and historical background of quantum chemistry and then explains those of DFT, showing how the latter fits into the bigger picture. Recent interesting topics of DFT in chemistry are also targeted. In particular, the physical meanings of state-of-the-art exchange-correlation functionals and their corrections are described in detail. Owing to its unconventionality, this book is certain to be of great interest not only to chemists but also to solid state physicists.

Density Functional Theory

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Publisher : John Wiley & Sons
ISBN 13 : 1119840864
Total Pages : 228 pages
Book Rating : 4.1/5 (198 download)

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Book Synopsis Density Functional Theory by : David S. Sholl

Download or read book Density Functional Theory written by David S. Sholl and published by John Wiley & Sons. This book was released on 2023-02-07 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: Density Functional Theory A concise and rigorous introduction to the applications of DFT calculations In the newly revised second edition of Density Functional Theory: A Practical Introduction, the authors deliver a concise and easy-to-follow introduction to the key concepts and practical applications of density functional theory (DFT) with an emphasis on plane-wave DFT. The authors draw on decades of experience in the field, offering students from a variety of backgrounds a balanced approach between accessibility and rigor, creating a text that is highly digestible in its entirety. This new edition: Discusses in more detail the accuracy of DFT calculations and the choice of functionals Adds an overview of the wide range of available DFT codes Contains more examples on the use of DFT for high throughput materials calculations Puts more emphasis on computing phase diagrams and on open ensemble methods widely used in electrochemistry Is significantly extended to cover calculation beyond standard DFT, e.g., dispersion-corrected DFT, DFT+U, time-dependent DFT Perfect for graduate students and postdoctoral candidates in physics and engineering, Density Functional Theory: A Practical Introduction will also earn a place in the libraries of researchers and practitioners in chemistry, materials science, and mechanical engineering.

Materials Modelling Using Density Functional Theory

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Publisher : Oxford University Press, USA
ISBN 13 : 0199662444
Total Pages : 303 pages
Book Rating : 4.1/5 (996 download)

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Book Synopsis Materials Modelling Using Density Functional Theory by : Feliciano Giustino

Download or read book Materials Modelling Using Density Functional Theory written by Feliciano Giustino and published by Oxford University Press, USA. This book was released on 2014 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book explains the fundamental ideas of density functional theory, and how this theory can be used as a powerful method for explaining and even predicting the properties of materials with stunning accuracy.

Development of Time-dependent Density Functional Theory in Chemical and Solid-state Physics

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Publisher :
ISBN 13 :
Total Pages : 146 pages
Book Rating : 4.:/5 (133 download)

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Book Synopsis Development of Time-dependent Density Functional Theory in Chemical and Solid-state Physics by : Fan Zhang

Download or read book Development of Time-dependent Density Functional Theory in Chemical and Solid-state Physics written by Fan Zhang and published by . This book was released on 2005 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A Primer in Density Functional Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 3540030832
Total Pages : 290 pages
Book Rating : 4.5/5 (4 download)

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Book Synopsis A Primer in Density Functional Theory by : Carlos Fiolhais

Download or read book A Primer in Density Functional Theory written by Carlos Fiolhais and published by Springer Science & Business Media. This book was released on 2003-06-11 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: Density functional theory (DFT) is by now a well-established method for tackling the quantum mechanics of many-body systems. Originally applied to compute properties of atoms and simple molecules, DFT has quickly become a work horse for more complex applications in the chemical and materials sciences. The present set of lectures, spanning the whole range from basic principles to relativistic and time-dependent extensions of the theory, is the ideal introduction for graduate students or nonspecialist researchers wishing to familiarize themselves with both the basic and most advanced techniques in this field.

Time-dependent Electron Localization Function

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Author :
Publisher : Tobias Burnus
ISBN 13 : 098587676X
Total Pages : 90 pages
Book Rating : 4.9/5 (858 download)

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Book Synopsis Time-dependent Electron Localization Function by : Tobias Burnus

Download or read book Time-dependent Electron Localization Function written by Tobias Burnus and published by Tobias Burnus. This book was released on 2008 with total page 90 pages. Available in PDF, EPUB and Kindle. Book excerpt: