By Bessi U.
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Extra resources for An analytic counterexample to the KAM theorem
This is an interesting observation, since it means that the system began in a pseudohexagonal phase, where the CCC planes of the molecules are partially oriented, and was transformed slowly to the hexagonal phase, where these planes are randomly oriented about their chain axes. For this to happen, the chains also should become less tilted; however, the authors do not discuss tilt angles in this paper. Grundy et al. studied the structure of docosanoic acid ( C 2 1 H 4 3 C O O H ) monolayers at the water-air interface, and found that in the condensed phase of cadmium docosanoate, the molecules are perpendicular to the surface .
The first EPR measurement on LB films was described by Messier and Marc . Most of the EPR work can be divided into three main parts, the first being on the characterization of porphyrin and phthalocyanine derivatives. Janzen et al. reported on the first light-induced EPR signal in chlorophyll monolayers containing chloranil as the electron acceptor . Other investigators used EPR to elucidate the order of copper tetraphenylporphyrin in behenic acid films , and to determine the structure in pure monolayers of copper phthalocyanine derivatives [192-194].
Fromherz et al. used medium-angle x-ray scattering to calculate film thickness in LB bilayers of cadmium salts of a series of fatty acids . They reported that film thickness increased linearly with chain length, with an inclination of the chain of about 15°. Jark et al. studied LB films of cadmium arachidate by means of soft x-ray diffraction . They calculated the reflectivity profile from the specular reflection and the chemical composition of the films, and demonstrated excellent agreement between experimental and calculated interference patterns.
An analytic counterexample to the KAM theorem by Bessi U.