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NANOSYSTEMS: PHYSICS, CHEMISTRY, MATHEMATICS, 2018, 9 (1), P. 46-48
Cryometry data in the binary systems bis-adduct of C60 and indispensable aminoacids -
lysine, threonine, oxyproline
N.M. Safyannikov1, N. A. Charykov1, P. V. Garamova2, K.N. Semenov2, V. A. Keskinov2, A. V. Kurilenko2, I.A. Cherepcova2, D.P. Tyurin2, V.V. Klepikov2, M. Yu. Matuzenko2, N.A. Kulenova3, A.A. Zolotarev2
1St. Petersburg Electrotechnical University "LETI", St. Petersburg, Russia 2 St. Petersburg State Technological Institute (Technical University), Department of Physical Chemistry,
St. Petersburg, Russia
3D. Serikbayev East Kazakhstan State Technical University, Ust-Kamenogorsk, Kazakhstan
DOI 10.17586/2220-8054-2018-9-1-46-48
The article continues the development of the investigations, presented in particular in the cycle of articles, devoted to the synthesis, identification and investigation of physical-chemical properties of water soluble derivatives of light fullerene C60, such as: complex esters of dicarboxylic acids (malonates, oxalates); poly-hydroxylated forms (fullerenols); amino-acid derivatives (argenine, alanine). The investigation of the excess thermodynamic functions, to the best of our knowledge, has, until now, not been provided, except for two original works [Matuzenko M.Yu., Tyurin D.P., et al. (2015); Matuzenko M.Yu., Shestopalova A.A., et al. (2015)]. Keywords: fullerenes, aminoacids, cryometry. Received: 20 June 2017 Revised: 30 September 2017
1. Introduction
Previous articles [1-9] were devoted to the investigation of the physical-chemical properties of light fullerenes adducts with amino-acids and their solutions. Cryometry investigation in the binary systems C60(C6Hi3N2O2)2-H2O, C60(C4H8NO3)2-H2O, C60(C5H9NO3)2-H2O at 273.15 - 272.50 K was used for determination of the concentration dependencies of the temperatures corresponding to beginning of ice crystallization from the solution (liquidus temperatures). Solution concentrations (in molar fraction) vary in the wide range Xbis-adduct = 6x10-6 -2 x 10-4 rel .un. Liquidus temperatures were determined with the help of Beckman thermometer with the linear resolution of the device scale AT/Ah « 0.01 K/mm (h - height of Hg capillary raising). Cytometry data AT(Xbis-adduct) in Fig. 1 (typical example for the system with oxyproline bis-adduct C60(C5H9NO3)2-H2O). The dependencies AT(Xbis-adduct) are sharply nonlinear, which prove high solution non-ideality for all solutions, even very dilute ones. In Fig. 1, for comparison by the arrow, the values ATid for the ideal non-electrolyte solution are presented. As we can see, the experimental AT exceeds ATid one-two orders of magnitude (for comparable concentrated and dilute solutions). Thus, one should expect probably gigantic positive deviations of the solution from ideality in the thermodynamic sense.
For the calculation of water activity, we have used well-known equation, obtained from the equality of the chemical H2O potentials in pure solid ice and non-ideal liquid solution [10,11]:
-A#f AT - ACp AT2 R(Tf - AT)Tf
= ln <lH2O, (1)
where: A#f = 5990 J/mole, ACP = -38.893 J/mole-K, Tf = 273.15 K are heat, temperature of ice fusion and change of heat capacity in the process of ice fusion, correspondingly. Eq. (1) was obtained in the symmetrical normalization scale for thermodynamic functions for both components:
o>h2O (XH2O = 1) = YH2O (XH2O = 1) = 1, (2.1)
anabis-adduct (Xbis-adduct 1) Ybis-adduct (Xbis-adduct 1) 11, (2.2)
where: Xi and ai, - molar fraction, activity and activity coefficient of i-th component. Authors [10,11] calculated concentration dependencies ln YH2O, derivatives dln YH2O/dXbis-adduct (numerically). Then authors [10,11] calculated the dependencies dln Ybis-adduct/dXbis-adduct, (according to classical differential Gibbs-Duhem differential equation) and at the end by numerical integration the dependencies lnYnabis-adduct(Xbis-adduct) were calculated. As a result, as was expected earlier, gigantic positive deviations of the solution from ideality for the functions ln Ybis-adduct were obtained ln ius-adduct ~ n(102) (in Fig. 2 typical example for the system with
Cryometry data in the binary systems bis-adduct of C60 and indispensable aminoacids
47
V a|ï -
<4-1 0 p g 0,12 -
"cS 5 a. H < 0,1 ci»
S H aj 0 is N 0,08 -
<4-4 0 u s к-и It® - 0,0:4.-
0 aj
0,02 -1,00 -
Molar fraction С, (С H NO) - *r ^ (« u 1
0.00000 0.00002 0.M04 0,00006 O.OOOOS 0.00010 ШооЙ
Fig. 1. Liquidus temperature decrease in the system C6o(C5H9NO3)2-H2O (example)
0,00000 0,00002 0.00004 0,00006 0.00003 0,00010 0.00012
Molar fraction C (C H NO ) -X ,,.„.. (a.u.)
Fig. 2. Logarithm activity coefficient of bis-adduct in the system C6o(C5H9NO3)2-H2O: dots -experiment, line - calculation according VSAD model
oxyproline bis-adduct - C60(C5H9NO3)2-H2O is represented). Naturally, no existing thermodynamic model can describe such nontrivial behavior of nanocluster thermodynamic functions.
For the thermodynamic description of our systems, we have elaborated original semi-empirical model VD-AS (Virial Decomposition Asymmetric Model), based on the virial decomposition of molar Gibbs energy on the component molar fractions in the solution. This reception was often used previously for the description of binary and multicomponent solutions with different natures: electrolyte solutions [12-15], non-electrolyte melts [16-18], equivalent replacement solid solutions. The main equations of VD-AS model for the binary system are the following:
In YaHS2SO « E ^XHs-aMuct, (3.1)
i=2
ln Ibis-adduct « (1 — i)AiXbis-adduct, (3.2)
i=2
where: ln 7?s s - logarithm of activity coefficient of i-th solution component in asymmetrical normalization scale
(ln 7H2O = 0 YH2 O bis-adduct ^ 0) = yH2o = 1 ln Ybis-adduct = 0, 7bis-adduct{Xbis-adduct ^ 0) = l), Ai -
consolidated i-th virial coefficient of the decomposition.
Preliminary calculations show that three-coefficients VD-AS model (i.e. i = 2, 3, 4) is enough to describe our systems with high accuracy (see, for example, Fig. 2 for ln 7^ss-adduct):
ln 7 H2O « 2A2 Xbis - adduct + 3A3Xbis-adduct + ^^bis-adducti (4.1)
ln 7bis-adduct « -2A2Xbis-adduct — 2A3Xbis-adduct — 3A4Xbis-adduct. (4.2)
48
N.M. Safyannikov, N.A. Charykov, P. V. Garamova, et al
The VD-AS model also excellently describes pre-delamination or micro-heterogeneous-structure formation in solution (see Fig. 3). This calculation is confirmed by Dynamic Light Scattering data (ZetaSizer).
ft "20
0,00000 0,00002 0,00004 0,00006 0,00008 0,00010 0,00012
* MdarfictionCfi0(eäH,NQ35ä -X,„ ^(a.u.)
Fig. 3. Delamination board in the system C6 o(C5H9NO3)2-H2O (example)
Acknowledgements
Investigations were supported by Russian Foundation for Basic Research RFBR (Projects No. 16-08-01206, 18-08-00143).
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