Scientific paper Low-temperature Heat Capacities and Thermodynamic Properties of Crystalline 2-Aminopyridinium Benzoate (C12H12N2O2) (s) Dong-Hua He, You-Ying Di*, Wen-Yan Dan, Yu-Pu Liu, and Da-Qi Wang College of Chemistry and Chemical Engineering, Liaocheng University, Liaocheng 252059, Shandong, P R China * Corresponding author: E-mail: diyouying @26.com, yydi @lcu.edu.cn; Fax: +86-635-8239121. Received: 01-02-2010 Abstract 2-Aminopyridinium benzoate was synthesized. Chemical analysis, elemental analysis, and X-ray crystallography were applied to characterize the composition and crystal structure of the compound. The lattice potential energy of the title compound was calculated to be UpOT = 284.297 kJ mol-1. Low-temperature heat capacities of the compound were measured by a precision automatic adiabatic calorimeter over the temperature range from 78 K to 365 K. A polynomial equation of heat capacities against the temperature in the region of 78 K to 365 K was fitted by a least square method. Based on the fitted polynomial equation, the smoothed heat capacities and thermodynamic functions of the compound relative to the standard reference temperature 298.15 K were calculated at intervals of 5 K. According to the synthesis reaction, the standard molar enthalpies of dissolution for the reactants and product in the selected solvent were measured by an isoperibol solution-reaction calorimeter, respectively. Accordingly, the enthalpy change of the synthesis reaction was calculated to be ArHm = -(20.016 ± 0.182) kJ mol-1 Finally, the standard molar enthalpy of formation of 2-ami-nopyridinium benzoate was determined to be AfHm = - (365.416 ± 0.961) kJ mol-1 in accordance with Hess law. Keywords: 2-Aminopyridinium benzoate; X-ray crystallography; Lattice potential energy; Adiabatic calorimetry; Low-temperature heat capacity; Isoperibol solution-reaction calorimeter; Standard molar enthalpy of formation 1. Introduction Inorganic nonlinear optical (NLO) materials have been studied at an earlier time.1 In recent years, it is found that the research of new organic nonlinear optical (NLO) materials was more attractive for their advantages over the inorganic nonlinear optical materials. The organic nonlinear optical molecules generally have the larger second-order nonlinear optical coefficient, and hence they are widely used in many applications like optical communication, informational storage, optical switching, etc.2 Several similar nonlinear optical complexes formed from aminopyridine and carboxylates have been crystallized, and their structural, optical, and thermal properties have been investigated because of their significant impact on laser technology, optical communication and optical data storage technology.2,3 In this paper, a nonlinear optical material, 2-aminopyridi-nium benzoate, was synthesized, which exhibits the nonlinear optical properties because it is characterized by the chiral carbons, a proton-donating carboxyl (-COOH) group and a proton-accepting imino (-NH) group, where the carboxyl group is dissociated and imino group is pro-tonated.3 Mustafa Odabasoglu et al. had synthesized crystalline 2-aminopyridinium benzoate and characterized its crystal structure (CCDC: 204055).4 However, up to now, the thermodynamic properties of the 2-aminopyri-dinium benzoate have not been found in the literature, which is needed in order to develop its new application fields and carry out relevant theoretical research. For these purposes, in this work, some thermochemical properities of the compound were investigated. A precise automated adiabatic calorimeter was used to measure low-temperature heat capacities of the 2-aminopyridi- nium benzoate over the temperature range from 78 K to 365 K and the standard molar enthalpy of formation of the title compound was determined by an isoperibol solution-reaction calorimetry. 2. Experimental 2. 1. Synthesis of the Complex 2-aminopyridinium Benzoate 2-Aminopyridine and benzoic acid as reactants and anhydrous ethyl alcohol as the solvent were all of analytical grade, the reactants were accurately weighed at the molar ratio of n(2-aminopyridine): n(benzoic acid) = 1 : 1 and slowly dissolved into anhydrous ethyl alcohol. The mixtures were heated by the electric jacket and stirred under boiling and refluxing for 4 h. The final solution was laid quietly, and several days later, a colourless transparent crystal was obtained. The crystal was recrystallized for three times with anhydrous ethyl alcohol and washed by ether for three times. Finally, the sample was placed in a vacuum desiccator at T = 320 K to dry in vacuum for 6 h, the final product was put into a weighing bottle and preserved in a desiccator. The actual purity of the compound was determined to be > 0.995 in mass fraction by HPLC. The contents of the C, H, N, and O in the compound were determined by chemical and elemental analyses (model: PE-2400, Perkin Elmer, USA). These results showed the purity of the sample prepared was > 0.995 in mass fraction. 2. 2. X-ray Crystallography A crystal with dimensions of 0.49 mm x 0.45 mm x 0.43 mm was glued to fine glass fiber and was then mounted on the Bruker Smart-1000 CCD diffractometer with Mo-Ka radiation (A = 0.071073 nm). The intensity data were collected at 298(2) K in the q—m scan mode. The structure was solved by direct methods and expanded using Fourier techniques with SHELXL-97 program.5 The non-hydrogen atoms were refined anisotro-pically by full-matrix least-square calculations on F2 using the SHELXL-97 program.5 The hydrogen atoms were added theoretically, riding on the concerned atoms and not refined. Crystal data and details of data collection and refinements for complex were summarized in Table 1. The hydrogen bond lengths and angles of the title compound (CCDC number: 772717) were presented in Table 2. Table 1. Crystal data and structure refinement for 2-aminopyridinium Crystallographic data Structure refinement Empirical formula C12H12N2O2 Formula weight 216.24 Temperature 298(2) K Wavelength 0.071073 nm Crystal system Orthorhombic Space group Pbca Unit cell dimensions a = 1.21428(11) nm; a= 90 b = 1.15070(9) nm; ¡3= 90 °; c = 1.57142(15) nm; y = 90 ° Volume 2.1957(3) nm-3 Z 8 Calculated density 1.308 g-cm3 Absorption coefficient 0.091 mm-1 F(000) 912 Crystal size 0.49 x 0.45 x 0.43 mm 0 range for data collection 2.59 to 25.01° Limiting indices -12 < h < 14, -13 < k < 13, -18 < l < 16 Reflections collected / unique 9161 / 1938 [R(int) = 0.0520] Completeness to 0 25.01 99.8 % Absorption correction Semi-empirical from equivalents Max. and min. transmission 0.9619 and 0.9568 Refinement method Full-matrix least-squares on F2 Data / restraints / parameters 1938 / 0 / 146 Goodness-of-fit on F2 1.091 Final R indices [/>2a(I)] R1 = 0.0426, wR2 = 0.0945 R indices (all data) R1 = 0.0928, wR2 = 0.1305 Extinction coefficient 0.0104(13) Largest diff. peak and hole 224 and -163 e nm-3 Table 2. Hydrogen bond lengths(nm) and bond angles (°) for 2-aminopyridinium benzoate(s). a D-H-A d(D-H) d(H-A) d(D-A) S f K \ /cío \ til / n n Figure 1. Molecular structure of the compound 2-aminopyridinium benzoate. Figure 2. Packing of structure of the compound 2-aminopyridi-nium benzoate in unit cell. Figure 3. Curve of experimental molar heat capacities of the compound 2-aminopyridinium benzoate with the temperature. All hydrogen atoms were placed in geometrically idealized positions and constrained to riside on their parent atom. Chemical bonds N(1)-H(1), N(2)-H(2B) and N(2)-H(2A) have the same bond length, 0.0860 nm. There are three kinds of hydrogen bonds (see Table 2), and these hydrogen bondings play a key role in molecular recognition. In comparison with the literature,4 it can be seen that the crystal data and the structure of 2-aminopyridinium benzoate measured in the paper almost agreed with those in the literature.4 3. 2. Lattice Potential Energy The compound 2-aminopyridinium benzoate can be regarded as a salt of the type of MX (charger ratio 1: 1), and the lattice potential energy (UPOT) of the compound can be obtained from the the folloowing formula,12 ### (kJ mol l) - itfj (1) In which I is the ionic strength{/= 1/2'£niz2i, where ni is the number of ions of type i with charge zt in the formula unit}; Vm is the molecule volume{Vm = 2.1957(3) nm-3 for 2-aminopyridinium benzoate (see Table 1)}; a1 = 117.3 kJ mol-1 nm and P1 = 51.9 kJ mol1 for MX (charge ratio 1: 1) salts.12 So the lattice potential energy of the compound 2-aminopyridinium benzoate is calculated to be UPOT = 284.297 kJ mol-1. 3. 3. Low-temperature Heat Capacities All heat-capacity experimental results are plotted in Figure 3, which shows that the structure of the compound is stable over the temperature range between T = 78 K and T = 365 K. None of phase change, association and thermal decomposition of the title compound occurred in the temperature region. The experimental heat capacities were fit- ted by means of the least square method, and a polynomial equation of the experimental molar heat capacities (Cp m) vs. reduced temperature (X), X = f (T), has been obtained,13 Cpm (J K-1 mol-1) = 187.386 + 157.572 X + ' 7.055 X2 - 4.149 X3 + 2.243 X4 (2) In which X = (T-221.5)/143.5. The correlation coefficient for the fitting R2 equals 0.99997. In which 221.5 is half of the upper limit 365 K plus the lower limit 78 K, while 143.5 is half of the upper limit 365 K minus the lower limit 78 K. The reduced temperatures (X) obtained using the method are placed between +1 and -1, and deviations of the smoothed heat capacities from the experimental values will become smaller and smaller with the increase of the power of the fitted polynomial equation according to the statistical principle. The above equation is valid in the temperature range from 78 to 365 K, with an uncertainty of ± 0.2% except for several points around the limits of the lower and upper temperatures. 3. 4. Smoothed Heat Capacities and Thermodynamic Functions of the Compound The smoothed molar heat capacities and thermody-namic functions were calculated based on the fitted polynomial equation of the heat capacities as a function of the reduced temperature(X) according to the following ther-modynamic equations,14 (HT H298.15) = J298.15 Cp,m dT (3) (ST- S298.15) = JT98.15 Cp,m ' ^ dT (4) (GT G298.15) = JT98.15 Cp,m dT - 2 ' JT98.15 Cp,m ' dT (5) Table 3. Smoothed molar heat capacities and thermodynamic functions of the complex 2-aminopyridinium benzoate(s) [M(C12H12 N2O2) = 216.24 g mol-1]. T C ht H298.15 S S 298.15 gt G298.15 (K) (J K-1 mol-1) (kJ mol-1) (J K-1 mol-1) (kJ mol-1) 80 44.969 -33.68 -161.70 -20.74 85 49.292 -33.44 -158.93 -19.93 90 53.690 -33.18 -156.09 -19.14 95 58.161 -32.90 -153.18 -18.35 100 62.700 -32.60 -150.21 -17.58 105 67.306 -32.28 -147.18 -16.82 110 71.976 -31.93 -144.10 -16.08 115 76.705 -31.56 -140.95 -15.35 120 81.492 -31.16 -137.76 -14.63 125 86.334 -30.74 -134.51 -13.93 130 91.228 -30.30 -131.21 -13.24 135 96.172 -29.83 -127.87 -12.57 140 101.16 -29.34 -124.48 -11.91 145 106.20 -28.82 -121.05 -11.27 150 111.28 -28.28 -117.58 -10.64 155 116.40 -27.71 -114.06 -10.03 160 121.55 -27.11 -110.51 -9.430 165 126.75 -26.49 -106.92 -8.849 170 131.97 -25.84 -103.29 -8.284 175 137.23 -25.17 -99.625 -7.736 180 142.52 -24.47 -95.926 -7.204 185 147.84 -23.75 -92.194 -6.689 190 153.19 -22.99 -88.428 -6.191 195 158.56 -22.21 -84.630 -5.711 200 163.95 -21.41 -80.801 -5.247 205 169.37 -20.57 -76.941 -4.801 210 174.81 -19.71 -73.050 -4.373 215 180.26 -18.83 -69.130 -3.963 220 185.74 -17.91 -65.181 -3.571 225 191.23 -16.97 -61.203 -3.198 230 196.74 -16.00 -57.197 -2.843 235 202.27 -15.00 -53.164 -2.507 240 207.81 -13.98 -49.103 -2.191 245 213.36 -12.92 -45.015 -1.894 250 218.93 -11.84 -40.900 -1.617 255 224.51 -10.73 -36.760 -1.360 260 230.1 -9.597 -32.594 -1.1230 265 235.7 -8.432 -28.402 -0.9058 270 241.32 -7.240 -24.186 -0.7098 275 246.94 -6.019 -19.944 -0.5345 280 252.58 -4.770 -15.679 -0.3803 285 258.22 -3.493 -11.390 -0.2473 290 263.88 -2.188 -7.078 -0.1357 295 269.54 -0.8546 -2.743 -0.04559 298.15 273.12 0 0 0 300 275.22 0.5072 1.6147 0.02284 305 280.90 1.898 5.9936 0.06950 310 286.60 3.316 10.393 0.09433 315 292.31 4.764 14.814 0.09727 320 298.03 6.239 19.253 0.07831 325 303.76 7.744 23.712 0.03748 330 309.50 9.277 28.188 -0.02516 335 315.25 10.84 32.682 -0.1095 340 321.02 12.43 37.191 -0.2154 345 326.81 14.05 41.715 -0.3426 350 332.61 15.70 46.253 -0.4909 355 338.42 17.38 50.803 -0.6599 360 344.26 19.08 55.364 -0.8493 365 350.11 20.82 59.935 -1.0590 vely. The enthalpy change of the reaction was calculated from the data of the above standard molar enthalpies of dissolution. Finally, the standard molar enthalpy of formation of 2-aminopyridinium benzoate was determined in accordance with Hess law. Before measuring the standard molar enthalpies of dissolution, the solid reactants (2-aminopyridine and benzoic acid) and product (2-aminopyridinium benzoate) were ground within an agate mortar into the fine powder, respectively, and placed in a vacuum desiccator at 310 K to dry in vacuum for 4 h respectively. Firstly, about 0.094 g of 2-aminopyridine was accurately weighed and dissolved in 100 cm3 of 1.0 mol dm-3 NaOH solution at T = 298.15 K. The experimental results of the process (AsHm 1) were listed in Table 4. The final solution obtained was named as solution A1. If "s" represented 100 cm3 of 1.0 mol dm-3 NaOH, the dissolution process was expressed as follows: {C5H6N2(s)} + "s" = Solution A1 Secondly, about 0.122 g of benzoic acid was accurately weighed and dissolved in solution A1 at T = 298.15 K. The experimental results of the process (AsHm 2) were shown in Table 5. The dissolution process may be expressed as follows: {C6H5COOH(s)} + "Solution A1" = Solution A Table 4. Dissolution enthalpy of the lmmol 2-aminopyridine in 100 cm3 of 1.0 mol dm-3 NaOH at T = 298.15 K[M(C5H6N2) = 94.1146 g mol-1].b No. W(g) AEJAEe tjs fis(J) AH°m,i (kJmor1) 1 0.09462 -2.872 9.453 13.234 13.164 2 0.09431 -3.162 8.735 13.464 13.436 3 0.09418 -2.719 10.343 13.708 13.699 4 0.09484 -2.383 11.359 13.197 13.096 5 0.09488 -2.534 10.687 13.203 13.096 (*±°,) AsHm,1 = (13.298 ± 0.118 ) kJ mol-1 b In which W is mass of sample; AEs is the voltage change during the sample dissolution; AEeis the voltage change during the electrical calibration; te is the heating duration of electrical calibration; Qs is heat effect of sample dissolution {Qs= -(AEs/AEe) fRte}; AsH^ is dissolution enthalpy; AsHm = QJn = -(AEs/AEe) I2Rte (M/W), where R is the electrical resistance of the heater (R = 1216.9 ^ at T = 298.15 K); I is the current through the heater (/= 20.015 mA); Mis the molar mass of the sample; x is the mean value of a set of measurement results; ,'y ■ , ^ v,- h is the experimental number; a'j is a single value in a set of measurements. ^ Table 5. Dissolution enthalpy of the 0.001 mol of benzoic acid in solution A1 at T = 298.15K at T = 298.15 K [M(C6H5COOH) =122.12 g mol-1]. No. W(g) MJMe tjs Qs(J) AHa (kJmor1) 1 0.12289 2.306 23.859 -26.824 -26.656 2 0.12241 2.175 25.016 -26.519 -26.457 3 0.12214 2.087 26.406 -26.868 -26.864 4 0.12246 2.107 25.859 -26.561 -26.487 5 0.12222 2.012 27.203 -26.680 -26.658 (-±°a) AH", = - (26.624 s m,2 v ± 0.073) kJ mol- 1 The polynomial fitted values of the molar heat capacities and fundamental thermodynamic functions of the sample relative to the standard reference temperature 298.15 K were tabulated in Table 3 at the intervals of 5 K. 3. 5. The Enthalpy Change of the Synthesis Reaction and the Standard Molar Enthalpy of Formation of 2-Aminopyridinium Benzoate The synthesis reaction is shown as follows: O H (6) The standard molar enthalpies of dissolution for the reactants and product of the above reaction in the selected solvent (100 cm3 of 1.0 mol dm-3 NaOH) were measured by an isoperibol solution-reaction calorimeter, respecti- In accordance with stoichiometric coefficient of the reactions and product in the reaction (6). About 0.216 g of 2-aminopyridinium benzoate was accurately weighed and dissolved in 100 cm3 of 1.0 mol dm-3 NaOH. The dissolution process was expressed as follows and the detailed results (A^m 3) obtained from five tests were presented in Table 6. ' {C12H12 N2O2 (s)} + "s" = solution B The results of UV/Vis spectroscopy and refractive indexes are a basic method for determining the chemical composition and physicochemical properties of two types of solution whether same or not. The results of UV / Vis spectra of two solutions was plotted in Figure 4, which of solution A and solution B was almost identical and they have the same thermodynamic state. Therefore, the designed Hess thermochemical cycle is reasonable and can be used to calculate the standard molar Table 6. Dissolution enthalpy of the 1 mmol of 2-aminopyridinium benzoate in 100 cm3 of 1.0 mol dm 3 NaOH at T = 298.15 K [M(C12H12 N2O2) = 216.24 g mol-1]. No. W(g) AEJAEe te/s Ös(J) AHom,3 (kJmor1) 1 0.21660 -1.0355 13.657 6.894 6.883 2 0.21667 -1.4006 9.969 6.807 6.793 3 0.21606 -1.4477 9.609 6.781 6.787 4 0.21678 -1.5496 8.828 6.669 6.652 5 0.21642 -1.3801 9.421 6.338 6.333 (*±°.) AsHm,3 = - (6.690 ± 0.096) kJ mol-1 Then the enthalpy change of the synthesis reaction was calculated from the data of the above standard molar enthalpies of dissolution. The calculation process was expressed as follows: A Hm = £AsHm (reactants) - £AsHm (product) = (As#m,i)+(AsHU) - (AsHm,3) = 13.298 + (-26.624) - 6.690 = - (20.016 ± 0.182) kJ mol-1. Finally, with the auxiliary thermodynamic data,15 AfHm(C5H6N2, s) = (39.4 ± 0.8) kJ mol-1,16 AfHm (C6H5COOH, s) = -(384.8 ± 0.50) kJ mol-1, the standard molar enthalpy of formation of 2-aminopyridinium ben-zoate was determined as, AfHm(C12H12 N2O2 s) = ArHm + A^C^N. s) + Aflm (C6H5COOH s) = -20.016 + 399.4 + (-384.8) = -(365.416 ± 0.961) kJ mol-1. -c < 1 - fsf* Solution B /i if r j —Solution A - i ......« 28Ù 2<¥l 310 323 330 À/nm Figure 4. UV-Vis spectra of solution A and solution B. enthalpy of formation of complex 2-aminopyridinium benzoate. 4. Conclusions This paper mainly reported the lattice potential energy, low temperature heat capacities in the range region from 78 to 365 K, and thermodynamic properties of the solid state compound 2-aminopyridinium benzoate. The enthalpy change of the synthesis reaction (6) was calculated to be A#m = -(20.016 ± 0.182) kJ mol1, which is an exothermic reaction. Finally, the standard molar enthalpy of formation of compound 2-aminopyridinium benzoate was calculated. 5. Acknowledgement This work was financially supported by the National Natural Science Foundation of China under the contract NSFC No. 20673050 and 20973089. 6. References 1. Y. H. Hu, X. Chen, J. Guan and W. G. Yang, J. Synth. Cryst. 2008,57, 1546-1550 (in Chinese). 2. B. K. Periyasamy, R. S. Jebas and B. Thailampillai, Mater. Lett. 2007, 61, 1489-1491. 3. M. L. Caroline and S. Vasudevan, Mater. Lett. 2008, 62, 2245-2248. 4. M. Odabasoglu, O. Buyukgungor and P. Lonnecke, Acta Cryst. C. 2003, 59, o51-o52. 5. G. M. Sheldrick, SHELXL-97, Program for the Solution and the Refinement of Crystal Structures, University of Gottingen, Germany, 1997. 6. Z. C. Tan, G. Y. Sun, Y. Sun, A. Yin, W. Wang, J. Ye and L. Zhou, J. Therm. Anal. 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Za določitev sestave in kristalne strukture spojine smo uporabili kemijsko in elementno ter rentgensko difrakcijsko analizo. Izračunali smo potencialno mrežno energijo za kristale te spojine: Upot = 284.297 kJ mol-1. Toplotno kapaciteto spojine pri nizki temperaturi smo izmerili z natančnim, avtomatskim adiabat-nim kalorimetrom v temperaturnem območju med 78 K in 365 K. Odvisnost toplotne kapacitete od temperature v območju med 78 K in 365 K smo razvili v polinom, ki smo ga izpilili z metodo najmanjših kvadratov. Skladno z izpiljenim polinomom smo izračunali toplotne kapacitete in vrednosti ostalih termodinamskih funkcij za to spojino pri različnih temperaturah (v korakih po 5 K) glede na standardno referenčno temperaturo 298.15 K. Glede na sintezno reakcijo smo s kalorimetrično metodo v raztopini izoperibola izmerili standardne molske entalpije raztapljanja reaktantov in produkta v izbranem topilu. Tako smo ugotovili razliko v entalpiji pri tej sintezni reakciji: ArH0m = -(20.016 ± 0.182) kJ mol-1 Standardno molsko entalpijo tvorbe 2-aminopiridinijevega benzoata smo določili skladno s Hessovim zakonom: AHm = -(365.416 ± 0.961) kJ mol-1.