Systems Limitations on the Fourier Transform Relationship between NMR Free Induction Decay and cw Line Shape

1972 ◽  
Vol 57 (12) ◽  
pp. 5615-5616 ◽  
Author(s):  
Jerome I. Kaplan
Keyword(s):  
Fourier Transform ◽  
Line Shape ◽  
Free Induction Decay ◽  
Free Induction ◽  
The Fourier Transform

scholarly journals Pitfalls in the Evaluation of X-ray Diffraction Line Shape

1988 ◽  
Vol 41 (2) ◽  
pp. 237 ◽  
Author(s):  
Gerhard Zorn
Keyword(s):  
Fourier Transform ◽  
Computer Simulations ◽  
Line Shape ◽  
Fourier Transformation ◽  
Step Width ◽  
X Ray Diffraction ◽  
X Ray ◽  
Sampling Points ◽  
The Fourier Transform ◽  
Reliable Basis

The sources of errors in the analysis of X-ray diffraction profiles are described, and recipes are given to minimise or eliminate these errors. It is proposed that a sample at high temperatures is used as a standard. The influence of measurement statistics on the Fourier transform of deconvoluted functions is demonstrated through computer simulations. The necessity for smoothing procedures is stressed. It is shown how the parameter step width, number of sampling points, and position of origin for the Fourier transformation can be optimised, and thus a reliable basis can be created for the interpretation of the Fourier transform in terms of crystallite size, size distribution, and micros train.

Quantum-beat free-induction decay inTm2+:SrF2: Fourier-transform ESR spectroscopy by optical means

1983 ◽  
Vol 28 (5) ◽  
pp. 2869-2872 ◽  
Author(s):  
T. Kohmoto ◽  
Y. Fukuda ◽  
M. Tanigawa ◽  
T. Mishina ◽  
T. Hashi
Keyword(s):  
Fourier Transform ◽  
Free Induction Decay ◽  
Esr Spectroscopy ◽  
Quantum Beat ◽  
Free Induction

Theory of Resonance Broadening Including the Duration of Collision Effects

1975 ◽  
Vol 53 (1) ◽  
pp. 76-83 ◽  
Author(s):  
H. R. Zaidi
Keyword(s):  
Fourier Transform ◽  
Kinetic Theory ◽  
Line Shape ◽  
Average Duration ◽  
Collision Operator ◽  
Binary Collision ◽  
Static Limit ◽  
The Fourier Transform ◽  
The Impact ◽  
Resonance Broadening

Theoretical expressions are derived for the complete line shape in resonance broadening using two independent methods, viz. (a) propagator techniques, (b) kinetic theory techniques. These expressions are valid for any duration of collision in the binary collision regime, and reduce to the impact (static) limit results when the average duration of collision is small (large). The expressions involve the Fourier transform of the two body collision operator and, therefore, these are quite suitable for actual numerical calculations.

Quantum-Beat Free-Induction Decay of Copper Ions in an Aqueous Solution: Fourier-Transform ESR Spectroscopy by Optical Means

2004 ◽  
Vol 43 (5A) ◽  
pp. 2489-2491
Author(s):  
Shigenori Furue ◽  
Kazuyuki Nakayama ◽  
Toshiro Kohmoto ◽  
Masakazu Kunitomo ◽  
Yukio Fukuda
Keyword(s):  
Aqueous Solution ◽  
Fourier Transform ◽  
Free Induction Decay ◽  
Esr Spectroscopy ◽  
Copper Ions ◽  
Quantum Beat ◽  
Free Induction
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