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Title: Discrete phase-space approach to mutually orthogonal Latin squares
Author: Gutierrez-Becerra, A.
Martinez-Martinez, F.
Barcena-Soto, M.
Casillas, N.
Ceja, I.
Prevost, S.
Gradzielski, M.
Escalante, J.I.
Issue Date: 2014
Abstract: Reverse microemulsions (RME) formed by the functionalized surfactant cetyltrimetyl ammonium ferrocyanide (CTAFeII) were used as reaction media to synthesize different metal hexacyanoferrates (MHCF). By just adding diluted solutions of CoCl2, NiCl2, CuCl2 or FeCl3 to the RME, spherical nanoparticles of CoHCF, NiHCF, CuHCF and FeHCF were obtained respectively. Bare RME and RME containing nanoparticles were measured by small angle X-ray scattering. The results obtained by the fits performed with the Teubner and Strey model show no significant difference in the periodicity (dTS) and in the correlation length (?TS), which suggests that the synthesis process does not affect the RME structure. Micrographs obtained by transmission electron microscopy confirm that the nanoparticles are consistently spherical with an average size of 4nm for CoHCF and CuHCF, and 6nm for NiHCF and FeHCF. The average value of the lattice parameter obtained by X-ray diffraction is completely agrees with the values reported in the literature for this type of coordination compounds. The surfactant CTAFeII opens the possibility to obtain nanoparticles of other coordination compounds by using a cationic surfactant in their functionalized form. " 2014 Elsevier B.V.",,,,,,"10.1016/j.colsurfa.2013.12.038",,,"","",,,,,,,,"Colloids and Surfaces A: Physicochemical and Engineering Aspects",,"63
WOS",,,,,,"Metal hexacyanoferrates; Nanoparticles; Reverse microemulsions",,,,,,"Direct synthesis of different metal hexacyanoferrate nanoparticles in reverse microemulsions by using a ferrocyanide functionalized surfactant",,"Article" "35044","123456789/35008",,"[Gonzalez-Ortiz, M.; Ramos-Zavala, M. G.; Martinez-Abundis, E.; Robles-Cervantes, J. A.; Gonzalez-Lopez, R.; Santiago-Hernandez, N. J.] Univ Guadalajara, Mexican Inst Social Secur, Med Res Unit Clin Epidemiol, Guadalajara, Jalisco, Mexico; [Gonzalez-Ortiz, M.; Martinez-Abundis, E.] Univ Guadalajara, Dept Physiol, Guadalajara, Jalisco, Mexico",,"Gonzalez-Ortiz, M
Ramos-Zavala, MG
Martinez-Abundis, E
Robles-Cervantes, JA
Gonzalez-Lopez, R
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García-Flores, EO
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Suarez-Chiquito, A
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Espinoza-Guerra, I
Quintana-Zamora, J
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Stein, K
Mendez-Estrada, C
Perez-Becerra, E
Romero-Velarde, E
Gutierrez, II
Ortega, MAO
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Di Matteo, O.
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De Guise, H.",,"2014",,"We show there is a natural connection between Latin squares and commutative sets of monomials defining geometric structures in finite phase-space of prime power dimensions. A complete set of such monomials defines a mutually unbiased basis (MUB) and may be associated with a complete set of mutually orthogonal Latin squares (MOLS). We translate some possible operations on the monomial sets into isomorphisms of Latin squares, and find a general form of permutations that map between Latin squares corresponding to unitarily equivalent mutually unbiased sets. " 2014 IOP Publishing Ltd.
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