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Fourier, Hadamard, and Hilbert Transforms in Chemistry

  • Alan G. Marshall

Table of contents

  1. Front Matter
    Pages i-xii
  2. Alan G. Marshall
    Pages 1-43
  3. C. L. Dumoulin, G. C. Levy
    Pages 69-97
  4. Melvin B. Comisarow
    Pages 125-146
  5. Stanley M. Klainer, Tomas B. Hirschfeld, Robert A. Marino
    Pages 147-182
  6. Robert H. Cole, Paul Winsor IV
    Pages 183-206
  7. Willis H. Flygare
    Pages 207-270
  8. Jess H. Brewer, Donald G. Fleming, Paul W. Percival
    Pages 345-385
  9. James A. de Haseth
    Pages 387-420
  10. Robert J. Nordstrom
    Pages 421-452
  11. Back Matter
    Pages 549-562

About this book

Introduction

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.

Keywords

chemistry electrochemistry processing spectroscopy spin

Editors and affiliations

  • Alan G. Marshall
    • 1
  1. 1.The Ohio State UniversityColumbusUSA

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