Phase Diagram of a Solution Undergoing Inverse MeltingDifferent theoretical models have been recentlyproposed to describe the counterintuitive phenomenaof inverse melting and inverse freezing [1-4]. Theseinverse transitions happen when a liquid heated atconstant pressure undergoes a reversible liquid solidtransition generating a solid with entropy higherwith respect to its liquid counterpart. A new liquidsystem showing this kind of phenomenology atnormal pressure and in con<strong>di</strong>tions easily reachableexperimentally has been recently found [5]. It is asolution of α-cyclodextrin (αCD) (C 36H 60O 30), waterand 4-methyl-piridyne (4MP) (C 6H 7N) which in propermolar ratio give rise to the phenomenon of inversemelting. Differential scanning calorimetric (DSC)measurements have been performed with a DiamondPerkin-Elmer calorimeter to characterize the inversetransition of these solutions from an energetic pointof view. The thermograms, i.e. the heat flow (dH/dt)as a function of the temperature, reported in Figure1 have been obtained at a heating rate r = 10 K/min.Depen<strong>di</strong>ng on the concentration, one, two or threepeaks of endothermic nature are observed. The peakand onset temperatures associated to each transitionare reported in Figure 2. At high concentrations ofαCD (right side of the phase <strong>di</strong>agram of Figure 2)three endothermic peaks are present: the firstcorresponds to a liquid solid phase transition typicalof those systems undergoing inverse melting; theinterme<strong>di</strong>ate one has been attributed to a solid solidphase transition and the third one is associated to asolid liquid transition as also observed by naked eye.The DSC data show a perfect agreement with theliquid solid transition temperatures determined withelastic and quasielastic neutron scatteringheat flow dH/dt (mW) Endo up1.00.50.00.01.00.50.50.00.20.01:6:951.01:6:800.51:6:701:6:501:6:40310 320 330 340 350 360 370 380T(K)Fig. 1: DSC thermograms of solutions of αCD,water and 4MP at <strong>di</strong>fferent concentrations withmolar ratio 1:6:x respectively (40
Scientific <strong>Report</strong> – Non Equilibrium Dynamics and ComplexityBrillouin ultraviolet light scattering on vitreous silicaSound absorption properties of amorphous solidshave been widely investigated in the last decades;these systems are characterized by a much largersound attenuation coefficient when compared to thecorrespon<strong>di</strong>ng crystals, and the mechanismsinvolved in sound absorption are still poorlyunderstood. Vitreous silica is a strong glass, andmany techniques have been used to investigate itsdynamics.Fig. 2 - DHO-deconvoluted signal obtained by fittingthe Stokes peak. Dashed: laser, T= 230 K, Q =0.078 nm -1 , peak position: 287.5 µeV, FWHM = 3.0µeV; continuous: synchrotron, room temperature, Q= 0.11 nm -1 , peak position: 438.5 µeV, FWHM = 5.3µeV.An example of experimental spectrum is reported inFig. 1, while examples of deconvoluted Brillouinspectra are shown in Fig. 1, at exchanged momentaQ = 0.078 (laser) and 0.11 (synchrotron) nm -1 .Fig. 1 - Experimental spectrum (circles) withsynchrotron excitation.Ultrasonic attenuation and Brillouin light scatteringshow that, in the respective ranges (kHz-GHz), thesound attenuation is temperature dependent and,thus, due to dynamical processes (typically,anharmonicity). More recently, the use of inelastic X-ray scattering (IXS) at much higher frequencies(THz) showed a T-independent attenuation inducedby the presence itself of structural <strong>di</strong>sorder.Theoretical models and numerical simulations havebeen proposed to describe the transition from thedynamical regime to the static one that dominates inthe region investigated by IXS.We have recently performed [1] measurements inthe interme<strong>di</strong>ate region; the measurements werecarried out at the new inelastic ultraviolet beam line(IUVS) of the Elettra synchrotron ra<strong>di</strong>ation facility inTrieste. The IUVS beam line operates usingsynchrotron ra<strong>di</strong>ation, with wavelength tunable inthe previously unexplored range 260-110 nm andwith a very high photon flux. A relative energyresolution of 1.1 * 10 -6 was achieved. Alternatively,the instrument can be used with an ultraviolet lasersource, i.e. a frequency-doubled 488 nm single modeAr laser. Backscattering geometry was used, with ascattering angle of about 176 degrees.The Brillouin spectrum <strong>di</strong>rectly provides the dynamicstructure factor, S(Q,E), whose width of is related tothe attenuation of the acoustic excitations. Thesound attenuation, C, measured with the laser (Q =0.078 nm -1 ) and with the synchrotron (Q = 0.11 nm -1 ) agree, within a relative error of 10%, with a Q 2law extrapolated from the BLS data; therefore, thedynamic regime persists at least up to Q= 0.11 nm -1 ,in<strong>di</strong>cating anharmonicity as a likely mechanism. Thelatter, should saturate around frequencies of theorder of 100 GHz. The sound absorption coefficientfor exchanged momenta Q > 0.11 nm_1 is expectedto depart from the Q2 dependence. Experiments in awider range of exchanged Q are in progress.References[1] G. Bal<strong>di</strong> et al., J. Non-Cryst. Sol. 351, 1919(2005).Authors:G. Bal<strong>di</strong>(a), S. Caponi (a), L. Comez (c), S. Di Fonzo(b), D. Fioretto (c), A. Fontana (a), A. Gessini (b), C.Masciovecchio (b), M. Montagna (a), G. Ruocco (d),S.C. Santucci (b), G. Viliani (a) - (a) <strong>Dipartimento</strong><strong>di</strong> <strong>Fisica</strong> and INFM-CRS <strong>Soft</strong>, Universita` <strong>di</strong> Trento,Trento, Italy; (b) Sincrotrone Trieste, Basovizza,Trieste, Italy; (c) <strong>Dipartimento</strong> <strong>di</strong> <strong>Fisica</strong> and INFM-CRS <strong>Soft</strong>, Universita` <strong>di</strong> Perugia, Perugia, Italy; (d)<strong>Dipartimento</strong> <strong>di</strong> <strong>Fisica</strong> and INFM-CRS <strong>Soft</strong>,Universita` <strong>di</strong> Roma ‘La <strong>Sapienza</strong>’, Roma, Italy.SOFT Scientific <strong>Report</strong> 2004-0654
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