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Application of Fourier Transform

The fundamental solution of the heat equation, i.e., the Dirichlet problem in infinite domain, (-°o,°°), is obtained by solving [Pg.158]

Inverting the Fourier transform with the use of the convolution theorem yields [Pg.158]


Ernst R R and Anderson W A 1986 Application of Fourier transform spectroscopy to magnetic resonance Rev. Sc/. Instrum. 37 93-102... [Pg.1516]

Miller R J and Closs G L 1981 Application of Fourier transform-NMR spectroscopy to submicrosecond time-resolved detection in laser flash photolysis experiments Rev. Sc/. Instrum. 52 1876-85... [Pg.1619]

Asamoto, B. and Dunbar, R.C., Analytical Applications of Fourier Transform Ion Cyclotron Resonance Spectroscopy, VCH, New York, 1991. [Pg.449]

In the following, some examples of applications of Fourier transform infrared (FTIR) Spectroscopy and of solid-state nuclear magnetic resonance (NMR) to the study of polymorphism in polymers are described. [Pg.207]

As said before, there are two main applications of Fourier transforms the enhancement of signals and the restoration of the deterministic part of a signal. Signal enhancement is an operation for the reduction of the noise leading to an improved signal-to-noise ratio. By signal restoration deformations of the signal introduced by imperfections in the measurement device are corrected. These two operations can be executed in both domains, the time and frequency domain. [Pg.535]

L. Pasti, D. Jouan-Rimbaud, D.L. Massart and O.E. de Noord, Application of Fourier transform to multivariate calibration of Near Infrared Data. Anal. Chim. Acta, 364 (1998) 253-263. [Pg.573]

B. Asamoto (ed.), FT-ICR/MS Applications of Fourier Transform Ion Cyclotron Resonance Mass Spectrometry, VCH Publishers, New York, NY (1991). [Pg.417]

The application of Fourier-transform infrared spectroscopy of polymers has been reviewed. Since the requirements for activity of a vibration for causing absorption in the infrared and for causing... [Pg.78]

K. O. Douglass, J. E. Johns, P. M. Nair, G. G. Brown, F. S. Rees, and B. H. Pate, Applications of Fourier transform microwave (FTMW) detected infrared microwave double resonance spec troscopy to problems in vibrational dynamics. J. Mol. Spectrosc. 239, 29 40 (2006). [Pg.50]

The advent of computers and Fourier transform completely revolutionized the detection and identification of organic compounds. Modern automated instruments allow very small samples in the nanogram (10 g) range to be characterized in a very short time. The application of Fourier transform nuclear magnetic resonance (FTNMR) and Fourier transform infrared (FTIR) allows recovery of the sample in contrast to mass spec-trometric (MS) determination which is a destructive but quite often a necessary technique. [Pg.8]

Nissink, J. W. M., Verdonk, M. L., Kroon, J., Mietzner, T., and Klebe, G. (1997) Superposition of molecules Electron density fitting by application of Fourier transforms. J. Comput. Chem. 18, 638-645. [Pg.48]

Vanasse, G. A., and Strong, J. D. (1958). Application of Fourier transforms in Optics Interferometric spectroscopy. In Classical Concepts of Optics (J. D. Strong, ed.), Appendix F. Freeman, San Francisco. [Pg.331]

Table 2. Application of Fourier Transform IR to Dehydration Studies of Epoxy Systems. Tentative Infrared Absorption Assignments for the Three Cured Epoxy Resins and the Absorption Variations During Degradation 18)... [Pg.82]

Antoon, M. K., Starkey, K. M., Koenig, J. L. Applications of Fourier Transform Infrared Spectroscopy to Quality Control of the Epoxy Matrix, Composite Materials, Fifth Conference, ASTM, p. 541, 1979... [Pg.111]

This review covers the theory and application of Fourier transform infrared spectroscopy to the characterization of polymers. The basic theory, the sampling techniques and the spectral operations are described. The applications discussed include the study of polymer reactions, polymer structure and dynamic effects. [Pg.87]

D Esposito, Koenig, J. L. Application of Fourier Transform Infrared to Synthetic Polymers and Biological Macromolecules, in Fourier Transform Infrared Spectroscopy,Ferraro, J. R., Basile, L. J. (Eds.) Academic Press, Vol. 1, chapter 2, 1978... [Pg.147]

Griffiths, P. R., Kuehl, D., Fuller, M. P. Applications of Fourier Transform Infrared Spectrometry in Forensic Analysis, Digilab Application Note 34, April 1980... [Pg.149]

Structural study of polysaccharides and other carbohydrates in solution or in the amorphous state has been significantly enhanced through the application of Fourier-transform, infrared spectroscopy. Among the advantages of this method may be mentioned the high quality of the spectra, and the in-house ability to interact with the computer, so that the digitized spectra may be stored and manipulated in such a way that additional information is obtained. The application of F.t.-i.r. spectroscopy in the field of carbohydrate chemistry and biochemistry is still in its infancy,182 but... [Pg.66]

Application of Fourier Transform Infrared Spectroscopy to Chemical Systems , Appl-Spectrosc 29 (4) (1975), 293 45) J.E. Tanner,... [Pg.698]

Koca, N., Rodriguez-Saona, L. E., Harper, W. J., and Alvarez, V. B. (2007). Application of Fourier transform infrared (FTIR) spectroscopy for monitoring short-chain free fatty acids in Swiss cheese. J. Dairy Sci. 90, 3596-3603. [Pg.207]

Applications of Fourier Transform Infrared Spectroscopy to Studies of Adsorbed Species... [Pg.13]

Applications of Fourier Transform IR Coupled Hollow Waveguide Gas Sensors... [Pg.147]

In THE PAST DECADE, IMPROVEMENTS IN infrared spectroscopic instrumentation have contributed to significant advances in the traditional analytical applications of the technique. Progress in the application of Fourier transform infrared spectroscopy to physiochemical studies of colloidal assemblies and interfaces has been more uneven, however. While much Fourier transform infrared spectroscopic work has been generated about the structure of lipid bilayers and vesicles, considerably less is available on the subjects of micelles, liquid crystals, or other structures adopted by synthetic surfactants in water. In the area of interfacial chemistry, much of the infrared spectroscopic work, both on the adsorption of polymers or proteins and on the adsorption of surfactants forming so called "self-assembled" mono- and multilayers, has transpired only in the last five years or so. [Pg.1]

In an unbounded medium, and with the condition that G -> 0 as x -> > permits the application of Fourier transformation of the Green s function. This is defined as... [Pg.10]

Kupstov, A. H. (1994). Applications of fourier transform Raman spectroscopy in forensic science. J. Forensic Sci. 39,305-318. [Pg.311]

The application of Fourier transform methods to nuclear magnetic resonance experiments improved the signal-to-noise ratio and permitted extraction of data heretofore inaccessible. [Pg.135]


See other pages where Application of Fourier Transform is mentioned: [Pg.1619]    [Pg.365]    [Pg.27]    [Pg.163]    [Pg.149]    [Pg.198]    [Pg.92]    [Pg.252]    [Pg.150]    [Pg.438]    [Pg.927]    [Pg.20]    [Pg.25]    [Pg.197]    [Pg.133]    [Pg.1]   


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