Fourier, Hadamard, and Hilbert Transforms in Chemistry

Fourier, Hadamard, and Hilbert Transforms in Chemistry PDF Author: Alan Marshall
Publisher: Springer Science & Business Media
ISBN: 1489903364
Category : Science
Languages : en
Pages : 564

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Book Description
In virtually all types of experiments in which a response is analyzed as a function of frequency (e. g. , a spectrum), transform techniques can significantly improve data acquisition and/or data reduct ion. Research-level nuclear magnet ic resonance and infra-red spectra are already obtained almost exclusively by Fourier transform methods, because Fourier transform NMR and IR spectrometers have been commercially available since the late 1960·s. Similar transform techniques are equally valuable (but less well-known) for a wide range of other chemical applications for which commercial instruments are only now becoming available: for example, the first corrmercial Fourier transform mass spectrometer was introduced this year (1981) by Nicolet Instrument Corporation. The purpose of this volume is to acquaint practicing chemists with the basis, advantages, and applica of Fourier, Hadamard, and Hilbert transforms in chemistry. For tions almost all chapters, the author is the investigator who was the first to apply such methods in that field. The basis and advantages of transform techniques are described in Chapter 1. Many of these aspects were understood and first applied by infrared astronomers in the 1950·s, in order to improve the otherwise unacceptably poor signal-to-noise ratio of their spec tra. However, the computations required to reduce the data were painfully slow, and required a 1 arge computer.

Fourier, Hadamard, and Hilbert Transforms in Chemistry

Fourier, Hadamard, and Hilbert Transforms in Chemistry PDF Author: Alan Marshall
Publisher: Springer Science & Business Media
ISBN: 1489903364
Category : Science
Languages : en
Pages : 564

Get Book Here

Book Description
In virtually all types of experiments in which a response is analyzed as a function of frequency (e. g. , a spectrum), transform techniques can significantly improve data acquisition and/or data reduct ion. Research-level nuclear magnet ic resonance and infra-red spectra are already obtained almost exclusively by Fourier transform methods, because Fourier transform NMR and IR spectrometers have been commercially available since the late 1960·s. Similar transform techniques are equally valuable (but less well-known) for a wide range of other chemical applications for which commercial instruments are only now becoming available: for example, the first corrmercial Fourier transform mass spectrometer was introduced this year (1981) by Nicolet Instrument Corporation. The purpose of this volume is to acquaint practicing chemists with the basis, advantages, and applica of Fourier, Hadamard, and Hilbert transforms in chemistry. For tions almost all chapters, the author is the investigator who was the first to apply such methods in that field. The basis and advantages of transform techniques are described in Chapter 1. Many of these aspects were understood and first applied by infrared astronomers in the 1950·s, in order to improve the otherwise unacceptably poor signal-to-noise ratio of their spec tra. However, the computations required to reduce the data were painfully slow, and required a 1 arge computer.

Hilbert Transforms: Volume 2

Hilbert Transforms: Volume 2 PDF Author: Frederick W. King
Publisher: Cambridge University Press
ISBN: 0521517206
Category : Mathematics
Languages : en
Pages : 661

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Book Description
The definitive reference on Hilbert transforms covering the mathematical techniques for evaluating them, and their application.

Mathematics for Physical Chemistry

Mathematics for Physical Chemistry PDF Author: Robert G. Mortimer
Publisher: Elsevier
ISBN: 0080492886
Category : Science
Languages : en
Pages : 406

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Book Description
Mathematics for Physical Chemistry, Third Edition, is the ideal text for students and physical chemists who want to sharpen their mathematics skills. It can help prepare the reader for an undergraduate course, serve as a supplementary text for use during a course, or serve as a reference for graduate students and practicing chemists. The text concentrates on applications instead of theory, and, although the emphasis is on physical chemistry, it can also be useful in general chemistry courses. The Third Edition includes new exercises in each chapter that provide practice in a technique immediately after discussion or example and encourage self-study. The first ten chapters are constructed around a sequence of mathematical topics, with a gradual progression into more advanced material. The final chapter discusses mathematical topics needed in the analysis of experimental data. - Numerous examples and problems interspersed throughout the presentations - Each extensive chapter contains a preview, objectives, and summary - Includes topics not found in similar books, such as a review of general algebra and an introduction to group theory - Provides chemistry specific instruction without the distraction of abstract concepts or theoretical issues in pure mathematics

Application of Hartley and Hilbert Transforms in Fourier Transform Ion Cyclotron Resonance Mass Spectrometry

Application of Hartley and Hilbert Transforms in Fourier Transform Ion Cyclotron Resonance Mass Spectrometry PDF Author: Christopher Paul Williams
Publisher:
ISBN:
Category :
Languages : en
Pages : 460

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Book Description


Fundamentals and Applications of Fourier Transform Mass Spectrometry

Fundamentals and Applications of Fourier Transform Mass Spectrometry PDF Author: Philippe Schmitt-Kopplin
Publisher: Elsevier
ISBN: 0128140143
Category : Science
Languages : en
Pages : 780

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Book Description
Fundamentals and Applications of Fourier Transform Mass Spectrometry is the first book to delve into the underlying principles on the topic and their linkage to industrial applications. Drs. Schmitt-Kopplin and Kanawati have brought together a team of leading experts in their respective fields to present this technique from many different perspectives, describing, at length, the pros and cons of FT-ICR and Orbitrap. Numerous examples help researchers decide which instruments to use for their particular scientific problem and which data analysis methods should be applied to get the most out of their data. - Covers FT-ICR-MS and Orbitrap's fundamentals, enhancing researcher knowledge - Includes details on ion sources, data processing, chemical analysis and imaging - Provides examples across the wide spectrum of applications, including omics, environmental, chemical, pharmaceutical and food analysis

Fourier Transforms in NMR, Optical, and Mass Spectrometry

Fourier Transforms in NMR, Optical, and Mass Spectrometry PDF Author: A.G. Marshall
Publisher: Elsevier
ISBN: 148329384X
Category : Science
Languages : en
Pages : 470

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Book Description
Written by spectroscopists for spectroscopists, here is a book which is not only a valuable handbook and reference work, but also an ideal teaching text for Fourier transform methods as they are applied in spectroscopy. It offers the first unified treatment of the three most popular types of FT/spectroscopy, with uniform notation and complete indexing of specialized terms. All mathematics is self-contained, and requires only a knowledge of simple calculus. The main emphasis is on pictures and physical analogs rather than detailed algebra. Instructive problems, presented at the end of each chapter, offer extensions of the basic treatment. Solutions are given or outlined for all problems.The book offers a wealth of practical information to spectroscopists. Non-ideal effects are treated in detail: noise (source- and detector-limited); non-linear response; limits to spectrometer performance based on finite detection period, finite data size, mis-phasing, etc. Common puzzles and paradoxes are explained: e.g. use of mathematically complex variables to represent physically real quantities; interpretation of negative frequency signals; on-resonance vs. off-resonance response; interpolation (when it helps and when it doesn't); ultimate accuracy of the data; differences between linearly- and circularly-polarized radiation; multiplex advantage or disadvantage, etc.Chapter 1 introduces the fundamental line shapes encountered in spectroscopy, from a simple classical mass-on-a-spring model. The Fourier transform relationship between the time-domain response to a sudden impulse and the steady-state frequency-domain response (absorption and dispersion spectra) to a continuous oscillation is established and illustrated. Chapters 2 and 3 summarize the basic mathematics (definitions, formulas, theorems, and examples) for continuous (analog) and discrete (digital) Fourier transforms, and their practical implications. Experimental aspects which are common to the signal (Chapter 4) and noise (Chapter 5) in all forms of Fourier transform spectrometry are followed by separate chapters for treatment of those features which are unique to FT/MS, FT/optical, FT/NMR, and other types of FT/spectroscopy.The list of references includes both historical and comprehensive reviews and monographs, along with articles describing several key developments. The appendices provide instant access to FT integrals and fast algorithms as well as a pictorial library of common Fourier transform function pairs. The comprehensive index is designed to enable the reader to locate particular key words, including those with more than one name.

Muon and Muonium Chemistry

Muon and Muonium Chemistry PDF Author: D. C. Walker
Publisher: Cambridge University Press
ISBN: 9780521242417
Category : Science
Languages : en
Pages : 200

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Book Description
This book covers all aspects of the chemical behaviour of the muon - a rare, short-lived, elementary particle having a mass intermediate between that of the proton and the electron. Muons provide an exceptional opportunity to investigate basic chemical interactions, simply because they are so short-lived: they can thus be studied using the powerful technique of muon spin rotation, in which the yield, decay rate and identity of the muon in several different states is observed. Although originally of principal interest to nuclear and particle physicists, muons have recently become important as probes in solid-state physics and in all phases of chemistry. This book will be a valuable source of information for research scientists, university teachers and graduate students interested in physical chemistry, chemical physics and the application of nuclear science to the life sciences.

Modern Nmr Techniques and Their Application in Chemistry

Modern Nmr Techniques and Their Application in Chemistry PDF Author: Millicent Popov
Publisher: CRC Press
ISBN: 9780824783327
Category : Science
Languages : en
Pages : 684

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Book Description
Details theory, methods, and successful application of NMR technology for chemists, chemical engineers, and biochemists those with specialized knowledge of NMR spectroscopy and those who want to catch up with the spectacular evolution of the field during the last decade. Reviews one-dimensional NMR,

Multidimensional NMR Methods for the Solution State

Multidimensional NMR Methods for the Solution State PDF Author: Gareth A. Morris
Publisher: John Wiley & Sons
ISBN: 1118589084
Category : Science
Languages : en
Pages : 877

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Book Description
The content of this volume has been added to eMagRes (formerly Encyclopedia of Magnetic Resonance) - the ultimate online resource for NMR and MRI. The literature of multidimensional NMR began with the publication of three papers in 1975, then nine in 1976 and fifteen in 1977, and now contains many tens of thousands of papers. Any attempt to survey the field must therefore necessarily be very selective, not to say partial. In assembling this handbook, the Editors have sought to provide both the new researcher and the established scientist with a solid foundation for the understanding of multidimensional NMR, a representative if inevitably limited survey of its applications, an authoritative account of classic techniques such as COSY, NOESY and TOSCY, and an account of the latest progress in the development of multidimensional techniques. This handbook is structured in four parts. The first opens with an historical introduction to, and a brief account of, the practicalities and applications of multidimensional NMR methods, followed by a definitive survey of their conceptual basis and a series of articles setting out the generic principles of methods for acquiring and processing multidimensional NMR data. In the second part, the main families of multidimensional techniques, arranged in approximate order of increasing complexity, are described in detail, from simple J-resolved spectroscopy through to the powerful heteronuclear 3D and 4D methods that now dominate the study of structural biology in solution. The third part offers and illustrative selection from the very wide range of applications of multidimensional NMR methods, including some of the most recent developments in protein NMR. Finally, the fourth part introduces the idea of multidimensional spectra containing non-frequency dimensions, in which properties such as diffusion and relaxation are correlated. About EMR Handbooks / eMagRes Handbooks The Encyclopedia of Magnetic Resonance (up to 2012) and eMagRes (from 2013 onward) publish a wide range of online articles on all aspects of magnetic resonance in physics, chemistry, biology and medicine. The existence of this large number of articles, written by experts in various fields, is enabling the publication of a series of EMR Handbooks / eMagRes Handbooks on specific areas of NMR and MRI. The chapters of each of these handbooks will comprise a carefully chosen selection of articles from eMagRes. In consultation with the eMagRes Editorial Board, the EMR Handbooks / eMagRes Handbooks are coherently planned in advance by specially-selected Editors, and new articles are written (together with updates of some already existing articles) to give appropriate complete coverage. The handbooks are intended to be of value and interest to research students, postdoctoral fellows and other researchers learning about the scientific area in question and undertaking relevant experiments, whether in academia or industry. Have the content of this Handbook and the complete content of eMagRes at your fingertips! Visit: www.wileyonlinelibrary.com/ref/eMagRes View other eMagRes publications here

Nuclear Magnetic Resonance

Nuclear Magnetic Resonance PDF Author: G A Webb
Publisher: Royal Society of Chemistry
ISBN: 1847553680
Category : Science
Languages : en
Pages : 378

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Book Description
As a spectroscopic method, Nuclear Magnetic Resonance (NMR) has seen spectacular growth over the past two decades, both as a technique and in its applications. Today the applications of NMR span a wide range of scientific disciplines, from physics to biology to medicine. Each volume of Nuclear Magnetic Resonance comprises a combination of annual and biennial reports which together provide comprehensive of the literature on this topic. This Specialist Periodical Report reflects the growing volume of published work involving NMR techniques and applications, in particular NMR of natural macromolecules which is covered in two reports: "NMR of Proteins and Acids" and "NMR of Carbohydrates, Lipids and Membranes". For those wanting to become rapidly acquainted with specific areas of NMR, this title provides unrivalled scope of coverage. Seasoned practitioners of NMR will find this an in valuable source of current methods and applications. Specialist Periodical Reports provide systematic and detailed review coverage in major areas of chemical research. Compiled by teams of leading authorities in the relevant subject areas, the series creates a unique service for the active research chemist, with regular, in-depth accounts of progress in particular fields of chemistry. Subject coverage within different volumes of a given title is similar and publication is on an annual or biennial basis.