Clays and Clay Minerals, 1972, Vol. 20, pp. 2 5 9 - 2 7 0 . P e r g a m o n Press. P r i n t e d in G r e a t B r i t a i n A D S O R P T I O N OF E T H Y L E N E D I A M I N E (EDA) O N M O N T M O R I L L O N I T E S A T U R A T E D WITH DIFFERENT CATIONS-II. HYDROGEN- AND ET HYLENEDIAMMONIUM-MONTMORILLONITE: PROTONATION AND HYDROGEN BONDING P. CLOOS and R. D. LAURA Laboratoire de Physico-Chimie Minrrale, Institut des Sciences de la Terre, de Croylaan 42, 3030 Heverlee, Belgium (Received 28 February 1972) Abstract--The form under which ethylenediamine (EDA) is adsorbed from aqueous solution by hydrogen- and ethylenediammonium-montmorillonite was studied as a function of the amount of amine present in the system. EDA added to the acid clay in quantities lower than or equal to the cation exchange capacity 9 " (C.E.C.) was exclusively adsorbed as ethylenedlammonmm ( E D A H 22+) ion. On further addition of diamine the pH of the suspension rose to alkaline values and the monoprotonated species (EDAH § was the main charge balancing cation. Evaporating at room temperature "EDA-H-montmorillonite-H20" or "EDA-EDAH2-montmorillonite-H20" systems containing 300 me EDA/100 g clay did not cause loss of nitrogen, but degassing under high vacuum (10 -~ rnm Hg) did. Nevertheless, excess EDA molecules with respect to the C.E.C. were retained on the clay surface, at the expense of water molecules, through strong asymmetrical hydrogen bonds between their NH2 groups and the NH3 + groups of EDAH + ions. On heating up to 160~ under vacuum the nitrogen content decreased further, but still remained at a level significantly higher than the C.E.C. value, all NH3 + groups remaining involved in strong hydrogen bonding. It is suggested that a "condensation" process takes place, implying evolution of EDA molecules and giving rise to "polymeric" associations between protonated and unprotonated diamine. Washing the clay suspensions with distilled water did not completely remove excess EDA either, as a consequence of the equilibrium existing between the ionic species in solution (EDAH2~+ and EDAH § and on the clay surface. It seems that these species were preferentially adsorbed as "trimeric" associations in which two out of four NH3 § groups are hydrogen bonded to NH2 groups. After heating at 200~ nitrogen retained on the clay surface was mainly in the form of NH4+ ions. Ammonium formation was enhanced by the presence of excess EDA and was considerably faster than in montmorillonite systems containing EDA coordinated to Cu ~+ions. INTRODUCTION et al. (1962) for propyl- and butyl-amine, ethyleneand propylene-diamine, and by Mortland and Barak6 (1964) for ethylamine. The same authors report that ethylamine, ethylene- and propylenediamine are adsorbed in amounts largely exceeding the cation exchange capacity of the clay. Similarly, ethylamine is adsorbed by ethylammonium montmoriUonite (Farmer and Mortland, 1965). This is interpreted in terms of competition between water and amine molecules to associate with the alkylammonium cations through hydrogen bonding. It must, however, be pointed out that the above mentioned studies were performed on non-aqueous systems. Servais e t a ! . (1962) treated freeze-dried 259 THE NATURE of the exchangeable cation is one of the most important factors determining the adsorption mechanism of alkylamines by clay surfaces and hence the kind and stability of the amino-clay complexes formed. As shown in part I of this study (Laura and Cloos, 1970), with Cu 2+ ion, a definite and stable coordination complex is obtained, whether ethylene-diamine is added as pure liquid to an air-dry montmorillonite film, or as aqueous solution to a montmorillonite suspension. On acid clay, protonation of the adsorbed amine is the expected mechanism. This has actually been observed by Fripiat et al. (1962), Servais 260 P. CLOTS and R. D. LAURA montmorillonite with a benzene solution of amine, whereas Mortland et al. (1964, 1965) exposed a vacuum evacuated clay film to ethylamine vapor. A priori, it may be assumed that in aqueous medium the amine is not necessarily as successful a competitor as in dehydrated systems. The fact that ethylamine is displaced from the ethylamineethylammonium complex by water vapor at room humidity ( F a r m e r and Mortland, 1965) sufficiently justifies this assumption. On the other hand, from the work of Servais et al. (1962) and Fripiat et al. (1962) it appears that monoamines and diamines do not behave in the same manner. In contrast with what is observed for ethylene- and propylenediamine, propyl- and butyl-amine-montmorillonite systems show no excess retention with respect to the C.E.C. after washing with an essentially non polar solvent such as benzene. Therefore, it seemed of interest to the authors, to carry out this adsorption study on aqueous suspension, and to compare the thermal stability of the compounds obtained in these conditions with that of the copper-ethylenediamine complex investigated previously (Laura and C l o t s , 1970). ~" 11- /)-----~ / /" RESULTS Potentiometric titration curves The potentiometric titration curves of different clay suspensions with E D A solution are compared in Fig. 1. With H-montmorillonite, like C u - //'I / /t , J ~ J / // J I I / / 0 MATERIALS AND METHODS The clay used was montmorillonite from CampBerteau (Morocco). Its cation exchange capacity (C.E.C.), measured with NH4 § ion at p H 7, amounts to 103 • 3 me/100 g. H-montmorillonite was prepared by passing a 1 per cent suspension of Na-montmorillonite (< 2~ fraction) through a column of hydrogen saturated Amberlite IR-120 resin. This suspension was used immediately after preparation in order to keep the level of conversion of H - to A l - c l a y as low as possible (Eeckman and Laudelout, 1961). EDAH2-montmorillonite was obtained by treating the < 2/~ N a - c l a y fraction three times with an excess of 1.0N solution of ethylenediamine dihydrochloride, and then washing it with distilled water on the centrifuge until free of chloride. The experimental methods used were the same as described in part I (Laura and C l o t s , 1970). Different amounts of E D A were added to 50 ml portions of 1% clay suspensions (Fig. 1), and after equilibration overnight, the samples were investigated before and after washing three times with distilled water. X-ray and i.r. spectra were recorded on thin oriented clay films (3-4 mg/cm2). Nitrogen was determined by micro-Kjeldahl technique. ~. . . . . . . . . . . . . . . . . . . . . . . . [ / I I 4 I 8 I 12 I 16 m l of 0.1N E D A 20 Fig. l. Potentiometric titration curves of 1% suspensions (50 ml) of montmorillonite saturated by Cu 2§ ( ), H § ( - - - - - ) , EDAH~ 2+ ( . . . . . . ) and Na + (- . . . . . ) with 0.1 N aqueous solution of ethylenediamine. Arrows indicate the amounts of EDA added for the preparation of samples. montmorillonite, the p H remained initially constant, then increased suddenly; on further addition of amine its increase was very slow. The quantity of base added to reach the inflection point was about half of that needed in the C u - c l a y system. As expected, no inflection was observed in case of E D A H 2 - and Na-montmorillonite. With the first portions of amine added the p H rose directly to alkaline values. C h e m i c a l analysis Table 1 shows the distribution of E D A between the solid and liquid phases after equilibration overnight. Samples 1, 2 arid 3 of H-montmorillonite correspond on the titration curve (Fig. 1) to points respectively below, at and above the inflection point. T h e balance between the quantities of amine added and found in the various systems studied can be considered as satisfactory, especially when taking into account that the nitrogen determinations in the different phases required much handling, thus multiplying the sources of error, and that tfiey were carried out on small-sized samples (< 100 mg clay). U p to the inflection point the total amount ADSORPTION OF EDA ON MONTMORILLONITE 261 Table 1. Distribution of EDA between solid and liquid phases Amounts of N (me/100 g of clay) Saturating cation Sample No. H+ 1 2 3 EDAHz 2+ Reference 4 Total added On clay after washing In equilibrium sol. 51 98 284 0 197 48 96 134 105 161 0 1 105 0 n.d. In washings 1 3 34 0 n.d. n.d. - not determined. of amine added was adsorbed on the clay and resisted removal by washing. On further addition a supplementary quantity was retained against washing. Similarly, EDAH2-montmorillonite adsorbs E D A which cannot be removed completely by washing, the adsorption level considerably exceeding the C.E.C. value. X-ray data The basal spacings d(001) of the different systems studied are compared in Table 2. They show the effect of four factors: (1) amount of amine adsorbed, (2) outgassing at room temperature, (3) heating under vacuum, and (4) nature of the saturating cation. They increased slightly as the degree of adsorption went beyond the C.E.C. value. Outgassing at ambient temperature caused a small decrease in spacing; the experimental values obtained compare fairly well with those reported by L6onard et al. (1962). Heating under vacuum reduced the basal spacing and provoked interstratification. This phenomenon started at 80~ for sample 1, partially saturated with E D A , and at 120~ for the other samples. Complete structure collapse at 200~ was observed only for the reference and washed EDAH2-montmorillonite samples. After rehydration reexpansion to the original value did not take place in any case. The spacings of H-montmorillonite were generally 0.3-0.4 A higher than those of EDAH~-montmorillonite for equivalent E D A contents. I.R. data Provided samples with comparable N contents are considered, the i.r. spectra are broadly similar, whether the starting material was H - or E D A H z montmorillonite. This is illustrated in Fig. 2 showing spectra of the different systems after outgassing at ambient temperature. In the case of acid clay, bands are generally less distinct, probably as a consequence of a lower degree of homogeneity due to partial aluminization of the starting material. Spectra recorded on samples containing different levels of E D A showed significant differences Table 2. Basal spacings d(001) in A for washed and unwashed samples after different treatments Treatment Saturating cation H+ EDAH~2+ Sample No. Reference 1 unw 1w 2 unw 2w 3 unw 3w reference 4 unw 4w Ambient tempera?. hydrated outgassed 11-9" 12.5" 12-4" 12.6" 12.7" 12.9" 12.6" 12.2' 12.7' 12-3" 10.0" 12-0" 12.0" 12.3" 12.3" 12.6" 12.4" 11.9" 12.3" 12.0" 80~ outg. 120~ outg. 160~ outg. 200~ outg. 9-7* 10.87 11-2? 12-2" 12.3" 12.8" 12.6" 12.0" 12.5" 12.2" 9-6" 10.2t 10.37 10-97 10.77 11.87 11-5? 10-27 11.3? 10-97 -10-0? 10.2t 10.87 10.57 11.3? 10-77 10-0? 10.47 10-27 9.5* 9.9t 9"9t 10.47 10.2? 10-57 10-4t 9-6* 10.2-~ 9.7* u n w - unwashed; w-- washed. *Rational or nearly rational (average value of the first, second and fourth order). ?Irrational, value of 001 reflexion. Rehydrated overnight -9.8t 9-9t 10-27 10.27 11.67 10.37 9.5* --- 262 P. CLOOS and R. D. LAURA # T U Z <~ rn b .,< I tN o ..... ! . . . . . . . . . . . . -f 2.5 J : . . . . . T. . . . . . . . . . -. . . . . . . . . ~ I I I 3.0 3.5 4.0 I 4.5 " - ~e " - "?.... I I I- I I I 5.0 5.5 6.0 6.5 ZO 7.5 p Fig. 2. I.R. spectra of H- and EDAH2-montmorillonitehaving adsorbed different levels of EDA, after degassing under vacuum (10-5 mm Hg) at ambient temperature. - - : EDAH2-montmorillonite; reference, 16 hr (a); sample 4w, 6 hr (c); sample 4unw, 3 hr (e). - . . . . : H-montmorillonite; sample 2unw, 2 hr (b); sample 3w, 16 hr (d); sample 3unw, 2 hr (f). Times indicated in hours refer to the degassing treatment. mainly in the position and shape of the N - H bands. Table 3 gives the band assignments as suggested by data in the literature (Powell, 1960; Sabatini and Califano, 1960; J. Bellanato, 1960; Fripiat et al., 1962) and will be discussed later. The stretching region of each spectrum is dominated by a broad absorption extending from 3350 to 2200 cm -~ with a main band near 3200 c m - ' . As the N content increased beyond the C.E.C. value, this band sharpens, becomes more symmetric and its maximum shifts to higher frequencies. Simultaneously a new band of low intensity develops near 3360cm -~ which is assigned to vNH2 asym. of excess unprotonated or monoprotonated EDA. In the 2800-1700 c m - ' range, absorption is slightly enhanced, two diffuse, weak and broad bands emerging near 2500-2400 cm -~ and 2000 cm -~ respectively. The 1843 cm -~ band is probably due to the clay structure as it is already~present in pure montmorillonite. C - H vibrations in t h e 2 8 0 0 - 3 0 0 0 cm ' region appear more or less distinct. In the deformation region the two prominent bands near 1500 and 1600cm -1 correspond to the 6NH3 + sym. and 6NH3 + asym. vibration modes respectively, while the weaker absorptions in the 1450-1470 cm -1 range are due to CH2 scissoring. Excess adsorption of E D A affected the position of the high frequency band little, but resulted in broadening, especially for samples containing more than 2 0 0 m e N / 1 0 0 g (curves e and f). Moreover, in this latter case two maxima may be distinguished near 1637 and 1600 c m - ' and seem to be related to contributions from 6NH3 + asym. and 6NH~ sci. vibrations. Band broadening and development of two diffuse maxima, near 1538 and 1 5 1 0 c m - ' respectively, are also shown by the 6NH3 + sym. absorption when E D A is retained against washing in excess of the C.E.C. (curves c and d). This might be interpreted as an indication of the existence of two different environments for the NH3 + groups on the clay surface. When E D A adsorption exceeds 200 per cent of the C.E.C. (curves e and f) one single 6NH3 + sym. band of medium intensity remains near 1540 cm -1. These results differ from those of Fripiat et al. (1962) who observed no 6NHz + sym. band in the 1500 cm -1 region on samples containing more than 50 mmoles of EDA, but only one absorption at 1597 c m - ' which they assigned to 6NH~ sci. vibration. ADSORPTION OF EDA ON MONTMORILLONITE Table 3. Vibration bands and their assignment for EDA adsorbed on H- and EDAH2-montmorillonite Band assignment vOH (hyd. water) vNH2 asym. vNH4+ uNH2 sym. (+ vNH3+) vNH3+ vCH2 asym. vCH2 sym. v/~-H... N ~OH (hyd. water) + 8 N - H . . . N asym. 8NH3+ asym. 8NH2 sci. 81~-H... N sym. + ~ N - H . . . OH2 sym. ~NH3+ sym. 8CH2 sci. 8NH4+ Observed frequencies in cm -1 Normal Deuterated 3400 3362 3280 3226 3175 (b) 2963 2899 2439 (b) 1980 (b) 1634 1637 1617 1600 1538 1530 1510 1465 1449 1429 2597 2516 -2424 2387 (b) 2963 2890 1835 (b) ? -------1460 1447 -- v-Streching; 8-Deformation; asym.-asymmetric; sym. - symmetric; sci. - scissoring; (b)- broad. This discrepancy might arise from the fact that these authors prepared oriented films by pressing powdered clay between stainless steel disks, which probably did not assure the same degree of orientation as slow evaporation of dilute clay suspensions. The data obtained in this work are more nearly comparable to the findings of Farmer and Mortland (1965) on the ethylamine-ethylammoniumsystem. After adsorption of ethylamine on ethylammonium montmorillonite they observed the replacement of the ~NH3 + sym. ( 1 5 1 0 c m - 0 and ~NH3 + asym. (1617 cm -1) absorptions respectively, by a diffuse shoulder extending from 1580 to 1510cm -~ and by two bands at 1642 and 1593 cm -1. In their opinion the 1593 cm -~ vibration is due to NHz scissoring, whereas the high frequency band can be ascribed to the proton involved in symmetric hydrogen bonding between the components of a dimer of structure Et H H Et The effect of degassing and heating under vacuum is illustrated in Fig. 3. The changes C C M Vol. 20, N o , 5 - B 263 brought about in the i.r. spectra by this treatment are the same for E D A H 2 - and E D A - H - m o n t morillonite. Air-dried samples (curves a, f and k) show strong absorptions by hydration water near 3400 and 1634cm -~, which obscure the N - H bands of the respective regions. O n dehydration the ~NH3 + sym. band shifts progressively from 1530 to 1508 cm -1 in the case of samples containing no excess E D A (Figs. 3A, b and 2, a and b). When a large excess of E D A was present (Fig. 3C, 1), the shift occurs in the opposite direction (1538cm -1) accompanied by a decrease of the absorption intensity. A similar weakening of the 6NH3 + sym. absorption was recorded for samples containing a moderate excess of E D A (Fig. 3B, g). Heating to 120~ did not cause major modifications of the spectra, except a further decrease of the 8NH3 + sym. bands of samples having retained excess E D A against washing (Fig. 3B, h). At 200~ a drastic change occurs in the spectra of all the samples: the N - H bands of NH3 + and NH2 groups are replaced by strong, sharp NH4 + absorptions at 1429 and 3280cm -1. Simultaneously, three rather weak bands appear at 1667, 1608 and 1303 cm -1 which might be associated with decay products of E D A (Laura and Cloos, 1970). I n samples containing excess E D A , ammonium ion formation commenced at 160~ (Figs. 3B, i and 3C, n). It should also be noted that at 200~ C - H vibrations in the 2 8 0 0 - 3 0 0 0 c m -1 region and near 1465 cm -1 persist; their intensities seem to be proportional to those of the three bands attributed to decay products, which in turn depend on the N contents of the respective samples. DISCUSSION The inflection point of the titration curve of H montmorillonite (Fig. 1) corresponds to an amount of E D A equalling the C.E.C. value (Table 1, sample 2). This indicates that E D A was adsorbed as divalent E D A H z 2+ ion up to complete saturation of the C.E.C. Further support for this conclusion is provided by the similarity of the i.r. spectra of pure EDAH2-montmorillonite and of H-montmorillonite treated with E D A (Fig. 2, a and b). The findings of Fripiat et al. (1962) were similar, whereas Conley and Lloyd (1971) suggested that on the surface of H-kaolinite E D A functions as a monoamine, one single NH~ group being protonated. The adsorption mechanism involved is obviously proton transfer from the clay surface to E D A , according to 2 m o n t . - H + E D A ~ (mont.-)~ EDAH2 As proposed by Servais et al. (1962), AP + ions present in acid clay may participate in amine 264 P. CLOOS and R. D. L A U R A A I~ o c B JI v O < Ii -, ~1 2.5 3,5 6 7 2.5 35 6 7 2.5 35 I I 7 6 I Fig. 3. I.R. spectra of H-montmorillonite ( - - - - - ) and EDAH~-montmorillonite ( ) having adsorbed different levels of E D A as affected by degassing and heating under vacuum (10-~mm Hg). (A) EDA-H-mont. (sample 2unw) and EDAHz-mont. (reference): air-dried (a); degassed at ambient temp., 16 hrs. (b); heated under vacuum at 80~ 3 hr (c), at 160~ 4 hr (d), at 200~ 16 hr (e). (B) E D A - H - m o n t . (sample 3w) and EDA-EDAHz-mont. (sample 4w) air-dried (f); degassed at ambient temp., 6 hr (g); heated under vacuum at 120~ 16hr (h), at 160~ 3 hr (i), at 200~ 4 h r (j). (C) E D A - H - m o n t . (sample 3unw) and EDA-EDAH~-mont. (sample 4unw): airdried (k); degassed at ambient temp., 2 hr (1); heated under vacuum at 120~ 3 hr (m), at 160~ 4 hr (n), at 200~ 3 hr (o). adsorption through the following dissociation: (mont.-)3 AI(H~O)6 ~ 3 m o n t . - H + AI(OH)z + 3H20 T h e formation of AI(OH)3 in the interlamellar s p a c e might account for the slight discrepancies in the basal spacings (Table 2) o b s e r v e d b e t w e e n E D A H ~ - and H - m o n t m o r i l l o n i t e with comparable N contents. U p o n addition of E D A in e x c e s s o f the C . E . C . the p H o f the suspension rose as a c o n s e q u e n c e of the following equilibria: HzN-CHz-CH2-NH2 + H20 H2N-CH2-CHz-NHz ++ OH- (1) H2N-CH2-CH2-NH3 ++ H20 H3N+-CH2-CH2-NH3 ++ OH- (2) with K m = [ E D A H + ] [ O H - ] = 5"15 • 10-4 at 0~ [EDA] and KB~ = [EDAH22+][OH -] = 3-66 • 10 -r at O~ [ E D A H +] (Weast, 1969) H e n c e , the clay particles w e r e in the p r e s e n c e of three different species, i.e. E D A , E D A H § and EDAH22§ the relative c o n c e n t r a t i o n s of which v a r y with p H (Table 4) and influence the composition of the adsorbate. A t equilibrium the suspensions of samples 3 u n w and 4 u n w g a v e a p H of approximately 10, at which E D A H + was the pred o m i n a n t species in solution. T h o u g h the selectivity of charged clay surfaces is usually higher for divalent than for m o n o v a l e n t cations, and their acidity higher than that indicated by the p H of the Table 4. Relative concentrations of EDA, E D A H § and EDAH~ 2+ species in aqueous solution at 0~C as a function o f p H pH [EDAH~ 2+] : [EDAH +] : [EDA] 3 4 5 6 7 8 9 10 3"66 • 104 10~ 102 10 1 l0 -1 10-2 10-3 1 1 1 1 1 1 1 1 11 10 - 4 1 1"95 • 10-8 10-r 10-8 10-5 10-4 10-a 10-2 10-1 1 ADSORPTION OF EDA ON MONTMORILLONITE suspension, it may be assumed that E D A H + was the main charge balancing cation 9 Since on removal of the equilibrium solution by centrifugation the quantity of diamine retained (expressed in me N/100 g) amounted to twice the C.E.C. (Fig. 4,b), suggests this conclusion. Washing again modified the composition of the adsorbate. The successive equilibrations with portions of distilled water caused release of E D A H § ions from the clay surface into the liquid phase 9 But for each such ion lost, another E D A H + ion, remaining on the clay, had to be converted into EDAH22+ ion in order to satisfy charge compensation. The protons necessary for this conversion were produced by the dissociation of water, the hydroxyls insuring the electrical neutrality of the liquid phase 9 This process was very slow, as illustrated in Fig. 4,b, and explains why after three washings the montmorillonite suspension still had a p H of 9 and a N content exceeding the C.E.C. by roughly 50%. In an aqueous system, therefore, retention of excess E D A against washing must not be interpreted (as in dry systems) in terms of competition between amine and water molecules for hydrogen bonding with polar NH3 + groups. Evaporation of the suspensions of the washed samples 3 and 4 probably did not significantly modify the status of the adsorbed species 9 The 0 300 ~ 40 8O I Temperature 120 160 I f ~ 200 0 o 220 Ld E c g u '180 structural arrangement most compatible with the data of chemical analysis and equilibrium considerations in relation to p H and charge balancing requirements would be the following: H H +1 I H- N-CH2-CHe-N... f H f H I 0 2 I 4 i 8 nb of washings Fig. 4. Effect of washing and of degassing under vacuum at increasing temperatures on the nitrogen content of different systems9 EDAH2-montmorillonite equilibrated with 0.017N solution of EDA.2HC1 (a), with 0-017N solution of EDA (sample 4) (b); 0 washing = equilibrium solution removed9 EDA-EDAH2-montmorillonite (sample 4unw), air-dry A, degassed A(c). (I) H This arrangement is also consistent with the appearance of two symmetric NH3 + deformation vibrations, at 1508 and 1538 cm -~ respectively (Figs 9 2c, d and 3B, g). The former might be related to the terminal NH3 + groups of the trimer, having the same environment as in pure EDAH2-montmorillonite. The latter might correspond to the NH3 + groups of the E D A H 2 z+ ion, hydrogen bonded with the NHz groups of the adjacent E D A H § ions. The shift to higher frequencies (from 1530 to 1538 cm -x) with respect to hydrated samples suggests that hydrogen bonds between NH3 + and NH2 were stronger than between NH3 + and H~O. This seems quite reasonable, as E D A H + is a stronger base than water 9 As shown in Table 1, excess retention of E D A against washing is less important on H-montmorillonite (sample 3) than on E D A H 2 montmorillonite (sample 4). This difference may be accounted for by a higher proportion of EDAH2 ~§ ions reflecting a higher surface acidity due to the presence of A P § ions in H-montmorillonite. It is possible that the charge distribution in the trimer may be modified in the following manner H H H H I I I I J N-CH~-CH2-N I H 9.. 10 H H I H H i 6 H I I N-CH~-CH2-N+-H I I 9 a 100~ I H H H --c<.. t+ t H I 9 H +1 H- N-CHe-CH2-N -H H-+N-CH2-CH2-N+-H... 140 265 H H I I H-+N-CH~-CH2-N+-H I I H (II) H in order to insure a b e t t e r geometric "fit" with a particular local charge distribution on the clay surface 9 As measured on scale models, the nitrogen atoms in trans E D A are separated by about 4 A, and according to Pimentel and McClellan (1960) the average length of a ~ - H . . . N hydrogen bond 266 P. CLOOS and R. D. LAURA is 3.1 fit. Thus, the extreme positive centers in the trimeric arrangement would be 18-2 A distant. On the other hand, assuming a homogeneous charge distribution on the montmorillonite surface, it can be calculated that the mean distance between two negative sites is approximately 12 fit. By an appropriate translation of the adjacent sheets, one with respect to the other (which in an aqueous suspension is easily achievable), a different homogeneous distribution of negative sites in the interlameller space, i.e. one every 6 A alternatively on the upper and on the lower plate, can be realized. This configuration should be energetically advantageous, as repulsion between negative charges is reduced to a minimum. It is interesting to note that according to this assumption four negative sites can be distributed over a distance of 18 A. Such a good fit with the trimeric arrangement might be a stabilizing factor for this form in the interlamellar space. The observed basal spacings (Table 2) are consistent with a monolayer of adsorbed species, the carbon chain being oriented parallelly to the silicate sheet~ ( L r o n a r d et al., 1962). In this position only one N - H of each'NHz + group is able to hydrogen bond with an adjacent NH2 group. The other two are in contact with the clay surface and may interact with surface oxygens. On this basis a trimer of the following configuration seems to be excluded. H H H... N-CH2-CH2-N -H \+ +/ H-N-CH2-CH2-N- H / H H \ H~ - I groups and surface hydroxyls. The lower volatility of E D A with respect to water and the presence of two polar groups are probably the major reasons for this behaviour. The absence of the 8 N H r sym. band at 1508 cm -1 and the presence of the 1538 cm -1 absorption (Figs. 2,e,f and 3C,l,m) suggest that all NH3 + groups are hydrogen bonded to NH2 groups. F r o m nitrogen determinations (Fig. 4,c) it can be inferred that in air-dry films one N atom out of three carried a positive charge. These requirements are satisfied by a trimer of the following structure q- H~N-(CH2)z-NH2 . . . H3N-(CH2)2-NH2 9 9 9 H31~-(CH2)2-NH2 (IV) as suggested by F a r m e r and Mortland (1965). F o r samples outgassed at room temperature the N § : N § + N ratio is 1 : 2.5 and increased to 1 : 2.25 after heating at 120~176 Though during this treatment E D A molecules were desorbed, all N H r groups remained hydrogen bonded to NH2 groups as evidenced by i.r. spectroscopy (Fig. 3C,m,n). This observation may be accounted for by the following mechanism involving "condensation" of adjacent E D A H + . . . E D A associations with evolution of E D A molecules: 4 H2N-(CH2)2-NH2. 9 9Hzl~I-(CH2)2-NH2 . . . H31~I-(CHs)2-NH2 I degassing at room temperature ~H +/ . 2H2N-(CH2)2-NH2[... H31(I-(CH2)2-NH213 . . . H 3 ~ - ( C H z ) 2 - N H 2 + 2H~N-(CH~)2-NH2 H... N-CH2-CH2-N,~H H H (III) On evaporation of the unwashed clay suspensions (samples 3 and 4) at ambient temperature no E D A is desorbed (Fig. 4,c). Since water was removed during this process, equilibria (1) and (2) in the liquid phase should continuously shift to the left until the film was air-dry. Degassing at room temperature caused only partial desorption of amine, and in the temperature range 120-160~ the nitrogen content in the E D A - E D A H 2 montmorillonite system still amounted to 2.25 times the C.E.C. value (Fig. 4,c). Therefore, it must be concluded that up to 160~ neutral E D A molecules were firmly retained on the clay surface, and competed on a favourable basis with water molecules for interaction with protonated amine heating at 120~176 H z N - ( C H z ) 2 - N H 2 [ . . . H31~I-(CH2)2-NH2] 7 . . . H31~-(CH~)2-NH2 + H2N-(CH2)2-NH2. It is conceivable that, as a consequence of the condensation process, a redistribution of the positive charges occurs in the "polymeric" associations in order to fit best the distribution pattern of negative charges on the clay surface. This can be realized by movement of a proton from one or the other NH3 + group of an E D A H + ion to a NH2 group of a neighbouring E D A molecule or E D A H § ion, giving rise to structures of types V and VI. § [H2N -(CH2)~-NH3 .. .In H2N-(CH2)2-NH~ [... H31~-(CH2)2-NH2]m (V) ADSORPTION OF EDA ON MONTMORILLONITE H2N-(CH2)2-NH2[. 9 9H31q-(CH2)2-NH2]. . . . n 3~ + . 9. -(CH2)2-NH3 [H2N-(CH~)~-i#'IH3 99 .]m H2N-(CH2)2-NHz (VI) where n and m vary with the amount of E D A molecules present and may be equal to 0,1,2 . . . . A particular feature of the infrared spectra of unwashed samples 3 and 4 is the broadening of the deformation band in the 1600 cm -1 region with the appearance of two maxima near 1600 and 1637 cm -1 (Figs. 2,e,f and 3C,k,l,m,n). The absorption at 1637 cm -1 is very strong in the air-dry sample, and on degassing at ambient temperature, decreases much more than the one located at 1600 cm -1. A similar behaviour is shown by the 3362 cm -1 band, assigned to vNH2 asym., with respect to the absorption at 3226 cm -~. A t first sight one is tempted to relate this decrease in intensity to the loss of E D A molecules. But its extent is in no way proportional to the fraction of E D A lost, and the respective bands are hardly affected by further desorption of E D A during heating the clay film. Therefore, it seems reasonable to assume that the main contribution to the 3362 and 1637cm -~ bands in the air-dry sample is due to adsorbed water. On the other hand, since adsorption of E D A in amounts largely exceeding the C.E.C. caused a shift of the ~NH3 + sym. vibration to higher frequencies, a similar effect on the ~NH3 + asym. band would be predicted. Hence, the 1637 and 1600cm -1 absorptions are assigned to 8NH3 + asym. and 8NH2 sciss, vibrations respectively. A shift of the deformation bands towards higher frequencies, as a consequence of hydrogen bonding, is generally accompanied by a shift towards lower frequencies of the corresponding stretching vibrations. Therefore, it would be expected that the prominent band at 3175 cm -~ in pure E D A H 2 montmorillonite would shift to lower frequencies after adsorption of excess E D A ; however the reverse is observed. Simultaneously two broad, diffuse bands develop near 2500-2400 and 2000 cm -a (Fig. 2,e,f), which might be related to + N - H . . . N hydrogen bonding. Sample 4w also shows these bands (Fig. 2,c). In their infrared studies on hydrogen bonds in some adducts of phenols with their phenoxides and other oxygen bases, Had2i et al. (1963) attributed two broad but discrete maxima near 2500-2600 and 1800-1900 cm -~ to stretching vibrations of O H involved in strong asymmetrical intermolecular hydrogen bonds. They also observed that the g-OH frequency increased but slightly. This pattern of absorption matches fairly well the one discussed here. The 3226 cm -1 band (Fig. 2,e,f) is probably 267 due to contributions of I~I-H groups not involved in i ~ - H . . . N associations (as only one out of three is able to participate in such hydrogen bonds), and to v N - H sym. vibrations of NH2 groups. Assuming that isotopic exchange will proceed faster on NH3 + groups than on NH2 groups, we deuterated samples containing increasing levels of E D A to different extents, in order to check the correctness of our band assignments. F o r this purpose clay films were degassed and exposed for 1 hr at room temperature to the vapour phase of H 2 0 - D 2 0 mixtures of varying H~O/D20 ratios. The samples were again degassed and their i.r. spectra were recorded. In these experiments the clay films used were thicker than usual (10-13 mg/cm 2 instead of 3 - 4 mg/cm2), which resulted in higher absorption intensities, and the recording rate adopted was slower (0.04 ~/min instead of 0.25 tz/min), which caused an overall shift of the bands to slightly lower frequencies. Figure 5 compares the spectra of pure EDAH2-montmorillonite and E D A - E D A H 2 - m o n t m o r i l l o n i t e containing an excess of 2 0 0 m e E D A / 1 0 0 g with respect to the C.E.C. (sample 4 unw) after 50% and 90% deuteration respectively. In case of unwashed sample 4 (curve b) the high frequency 30 35 F i g . 5. I . R . 40 45 s.o ss so 65 xo spectra of EDAH~-montmorillonito ~s H (refor- once), 50% (a), 90% doutoration (c) and of EDA-EDAH2montmorillonite (sample 4unw), 50% (b) and 90% deuteration (d). 268 P. CLOOS and R. D. LAURA band in the 1640-1590cm -1 region, assigned to ~NH3 + asym., disappears almost completely at 50% deuteration, while the low frequency band, ascribed to 8NH2 sci., is much less affected. Likewise, the ~NH3 + sym. absorption near 1540 cm -1 is no longer visible. I n pure E D A H 2 montmorillonite (curve a), where deuteration could effect only half of the NH~ + groups, the corresponding bands at 1605 and 1510 cm -a are still present. Thus, it seems that the 1637 cm -1 band is due to 8NH3 + asym. vibration. In both samples the 1600 cm -1 absorption might contain a contribution from NH2D + groups, and it is possible that the new band, appearing after deuteration in the 14201433 cm -1 range, is due to 8 N - H vibration of the NHD2 + group, as suggested by Powell (1960), and perhaps of the N H D group in case of sample 4unw. At 90% deuteration (curves c and d) the 1600 cm -a band has disappeared, whilst the 14201433 cm -a absorptions are still well pronounced, but less intense. On the basis of the proposed assignment a decrease in intensity would actually be expected as deuteration becomes nearly complete. In the 3400-3000 cm -1 region the u N - H vibrations persist up to 90% deuteration. They decrease progressively with increasing degree of deuteration and the corresponding u N - D bands in the 2400-2000 cm -1 range become stronger and stronger. A band near 2 7 0 0 c m -1 is obviously related to physically adsorbed D~O. Its lower intensity in E D A - E D A H 2 - m o n t m o r i l l o n i t e(curves b and d) confirms the observation of Servais et al. (1962), that water is largely replaced by E D A molecules on the clay surface. Another interesting feature concerns the absorption intensity near 1835 cm -~. Pure clay shows a broad band in this region, b u t in sample 4 (curves b and d) its intensity is considerably higher than in reference EDAH2-montmorillonite (curves a and c), though the clay films were of equal thickness. The only reasonable explanation for the enhancement of intensity in this region is that it is due to v ~ - D vibrations of N - D . . . N associations, the hydrogen analogs of which absorb near 2440 cm -a (Fig. 2,e). The 1980cm -1 band is undistinguishable; it might be hidden by the broad inflexion in this region, or it might be shifted, on deuteration, to lower frequencies and overlapped by the strong ~CH2 sci. absorptions near 1 4 6 0 - 1 4 4 7 c m -~. All the samples show a band at 1914cm -1 which is probably due to the clay structure, but which cannot be distinguished on spectra taken with thinner films. Whether or not the amount of E D A adsorbed exceeds the C.E.C. value, heating at 200~ under vacuum generated NH4 + ions as indicated by the 3280 and 1429 cm -1 bands (Fig. 3, e, j and o). In + , . E D A - C u - m o n t m o r i l l o n i t e complexes, NH4 + formation was also observed in the same experimental conditions, but to a much lower extent (Laura and Cloos, 1970). This indicates the E D A is considerably more stable on a montmorillonite surface when it is coordinated to Cu 2+ ion, than when it is present in diprotonated, monoprotonated or neutral form. The fact that NH4 + formation has already started at 160~ in samples containing excess amine is not explained (Fig. 3,i and n). It might be due to a higher degree of dissociation of residual water, present in smaller amounts in these samples (Mortland and Raman, 1968). A c k n o w l e d g m e n t s - T h e grant of a Fellowship to R. D. Laura by the Belgian Ministry of National Education during the investigation is gratefully acknowledged. REFERENCES Bellanato, J. (1960) I.R. spectra of ethylenediamine dihydrochloride and other amine hydrochlorides in alkali halide disks: Spectrochim. Acta 16, 1344-1357. Conley, R. F. and Lloyd, M. K. (l 971 ) Adsorption studies on kaolinites--II. Adsorption of amines: Clays and Clay Minerals 19, 273-282. Eeckman, J. P. and Laudelout, H. (1961) Chemical stability of hydrogen-montmorillonite suspensions: KolloidZ. 178, 99-107. Farmer, V. C. and Mortland, M. M. (1965) An i.r. study of complexes of ethylamine with ethylammonium and copper ions in montmorillonite: J. Phys. Chem. 69, 683-686. Fripiat, J. J., Servais, A. and L~onard, A. (1962) Etude de l'adsorption des amines par les montmorillonites-III. La nature de la liaison amine-montmorillonite: Bull. Soc. Chim. Fr. 635-644. Had~i, D., Novak, A. and Gordon, I. E. (1963) I.R. spectra of, and hydrogen bonding in, some adducts of phenols with their phenoxides and other oxygen bases: J. Phys. Chem. 67, 1118-1124. Laura, R. D. and Cloos, P. (1970) Adsorption ofethylenediamine (EDA) on montmorillonite saturated with different cations- I. Copper-montmorillonite: coordination: Proc. Reuni6n Hispano-Belga de Minerales de la Arcilla, Madrid 76-86. Lronard, A., Servais, A. and Fripiat, J. J. (1962) Etude de l'adsorption des amines par les montmorillonitesII. La structure des complexes: Bull. Soc. Chim. Fr. 625-635. Mortland, M. M. and Barakr, N. (1964) Interaction of ethylamine and metal ions on montmorillonite: Trans. 8th Intern. Cong. Soil Sci. 3, 433-443. Mortland, M. M. and Raman, K. V. (1968) Surface acidity of smectites in relation to hydration, exchangeable cation, and structure: Clays and Clay Minerals 16, 393-398. Pimentel, G. C. and McClellan, A. L. (1960) The Hydrogen Bond, p. 289, Freeman, San Francisco. Powell, D. B. (1960) The i.r. spectrum and the structure of ethylenediamine dihydrochloride: Spectrochim. Acta 16, 241-243. A D S O R P T I O N O F E D A ON M O N T M O R I L L O N I T E Sabatini, A. and Califano, S. (1960) I.R. spectra in polarized light of ethylenediamine and ethylenediamine-d4: Spectrochim. Acta 16, 677-688. Servais, A., Fripiat, J. J. and L6onard, A. (1962) Etude de l'adsorption des amines par les montmorillonites-I. 269 Les processus chimiques: Bull. Soc. Chim. Fr. 617625. Weast, R. C. (1969)Handbook of Chemistry and Physics, 5th Edn p. D- 115. The Chemical Rubber Co, Cleveland. R6surn6-La forme sous laquelle l'6thyl&nediamine (EDA) est adsorb6e ~ partir d'une solution aqueuse par la montmorillonite saturge en protons et en ions 6thyl~nediammonium est 6tudi6e en fonction de la quantit6 d'amine pr6sente dans le syst~me. L ' E D A additionnge ~t l'argile acide en quantit6s plus faibles que ou 6gales h la capacit6 d'6change cationique (C.E.C.) est exclusivement adsorb6e comme ion 6thyl6nediammonium (EDAH~2+). Lors d'une addition suppl6mentaire de diamine le pH de la suspension monte h des valeurs alcalines, et l'esp~ce monoproton6e ( E D A H § est le principal cation compensateur de charge. L'6vaporation h temp6rature ordinaire des syst~mes "montmorillonite-H-EDA-H~O" ou " m o n t m o r i l l o n i t e - E D A H 2 - E D A - H 2 0 " contenant 300 me d ' E D A / t 0 0 g d'argile ne provoque pas de perte d'azote, contrairement au d6gazage sous vide pouss6 (10 -5 mm Hg). N6anmoins des mol6cules d ' E D A en exc&s par rapport h la C.E.C. sont retenues h la surface argileuse, aux d6pens de mol6cules d'eau, par des ponts hydrog~ne asym6triques forts entre leurs groupes NH2 et les groupes NH3 + des ions E D A H +. Lors du chauffage sous vide jusqu'~ 160~ le contenu en azote continue d6croitre, mais se maintient toujours h u n niveau sensiblement sup6rieur ~ la valeur de la C.E.C., tandis que tous les groupes NHa + restent engag6s dans de fortes liaisons hydrog6ne. On sugg~re qu'un processus de "condensation" a lieu, impliquant le dggagement de mol6eules d ' E D A et donnant naissance h des associations "polym6riques" entre la diamine proton6e et non proton6e. Le lavage h l'eau distillge des suspensions d'argile ne d6place pas non plus compl~tement l'exc~s d ' E D A ; cela en raison de l'6quilibre existant entre les esp~ces ioniques en solution (EDAHz ~+ et E D A H +) et ~t la surface argileuse. I1 semble que ces esp~ces sont adsorb6es pr6f6rentiellement sous forme d'associations "trim6riques" dans lesqueUes deux des quatre groupes NHa + sont li6s par ponts hydrog~ne aux groupes NH~. Apr~s chauffage h 200~ l'azote retenue h la surface de l'argile s'y trouve principalement sous forme d'ions NH4 +. La formation d'ammonium est favoris6e par la pr6sence d ' E D A en exc~s, et est consid6rablement plus rapide que darts des syst~mes de montmori//onite contenant de I'EDA coordonn6e aux ions Cu z§ Kurzreferat- Die Form, unter welcher Ethylendiamin (EDA) aus wassriger L6sung von Wasserstoff - u n d Ethylendiammonium-Montmorillonit adsorbiert wird, wird in Verbindung mit der im System vorhandenen Aminmenge studiert. Das dem sauren Ton zugefiigte E D A in Mengen, die das Kationenaustauschverm/agen (K.A.V.) nicht iiberschreiten, wird ausschliesslich als Ethylendiammonium-ion (EDAH2 ~+) adsorbiert. Bei weiterer Zugabe von Diamin steigt der Suspensions-pH zu alkalischen Werten, und die monoprotonierte Art ( E D A H +) ist das hauptsachlichste ladungsausgleichende Kation. Ausdampfen bei Zimmertemperatur von " E D A - H - M o n t m o r i l l o n i t - H 2 0 " oder " E D A - E D A H ~ Montmorillonit-H20" Systemen verursacht keinen Stickstoffverlust, jedoch Ausgasen unter Hochvakuum (10-amm Hg) wohl. Nichtdestoweniger wird eine Llbermenge yon EDA-molekeln, im Vergleich zum K.A.V., auf Kosten von Wasser-molekeln an der Tonoberflache mittels starken, asymetrischen Wasserstoffbriicken zwischen ihren NH2-gruppen und den NH3+-gruppen der E D A H +ionen zuriickgehalten. Wahrend Erhitzen bis zu 160~ unter Vakuum nimmt das Stickstoffgehalt weiter ab, halt sich jedoch auf einem bedeutend h6heren Welt als das K.A.V., und alle NH3+-gruppen bleiben in starken Wasserstoffbriicken eingegliedert. Es wird vorgeschlagen, dass ein "Kondensations"-prozess stattfindet whhrend dem EDA-molekeln ausgeschieden werden und "polymerische" Assoziationen zwischen protoniertem und unprotoniertem Diamin hervorgerufen werden. Es gelingt auch nicht, den (Jberschuss an E D A durch Waschen der Tonsuspensionen mit destilliertem Wasser ganz zu enffernen; dies als Folge des Gleichgewichts, das zwischen den Ionen-arten in der L6sung (EDAH2 ~+ und E D A H +) und an der Tonoberflache besteht. Es scheint, dass diese Arten vorziiglich als "trimerische" Assoziationen, in denen zwei der vier NH3+-gruppen durch Wasserstoffbriicken mit den NH~-gruppen verbunden sind, adsorbiert werden. Nach Erhitzen auf 200~ ist der auf der Tonoberflache zuriickgehaltene Stickstoff hauptsachlich in der Form von NH4+-ionen. Die Ammoniumbildung wird durch die Anwesenheit von UberschussE D A begiJnstigt und is bedeutend schneller als in Montmorillonitsystemen, die mit Cu2+-ionen koordiniertes E D A enthalten. P e a l o r a e - ~JIa onpe)lenerlri~ l~onaqecTBa aMrIHa B arperaxe, rt3yqanocb KaKrtM o6pa3oM 3TrlJIeH~rtaMHH (EDA) a~cop6npyerca ~13BO~Hb~XpacTBopoB BO~IOpO~HbIM--rt 3TI~JIeH~4aMMOHffeablMMOHTMOpHflJIOHtITOM. EDA ~o6aBJIeHHbll~ K KrlC3IOI2FJI~IHeB KOJIHtleCTBeHFI~e H3I!4paBHOM KaTHOHHOO6MeHHO.~ CrlOCO6HOCTFI 270 P. C L O O S and R. D. LAURA ( C . E . C . ) 6 ~ i n a , ~ c o p 6 H p o B a H IICKJl~Oq!4TenbHO a B i ~ e HOHa 3THJleH~VlaMMO:a~Ifl ( E D A H Z + ) . H p u )~anbHe~tueM ~ o S a s n e H H H ~HaMIIHa, p H a 3 8 e c a ilo,atfnnc• )~0 ~ e n o ~ H o r o aHa~eNHn ~t <(MOHOrIpOTO~IpoBaiiHbt~>> p n ~ ( E D A H +) cTaYt rnaBHS~M 6 a n a u c H p y m m i i M KaTHOHOM 3 a p n ~ a . BI, triapHBaHHe n p r t KoMaaTHOR T e M n e p a T y p e a r p e r a T o a < < E D A - H - M O ~ I T M O p r I ~ O H r f T a - H 2 0 > ) I,I~tI ~ E D A - E D A H a - r , IOrtTMOpHnnOm~Ta-H20>), c o ~ e p ~ a m H x 3 0 0 m e rn~tHbt E D A / 1 0 0 e Me BeaeT r n o T e p e a 3 0 x a , aO ~ e r a 3 i i p o a a n i i e n p H BblCOKOM 8aKyyMe ( 1 0 - s MM H g ) aeCteT. HeCMOTpn n a 3TO, n36b~roK MOneKy~ E D A OTHOCHTenbHO C . E . C . 6 b i n c o x p a a e a IIa n o a e p x n o c T r l r n r i n b t 3 a CqeT 80~aHbtX MO~qeKyJl ~ c n e ~ c T a r I e CHnbHO~ aCHMMeTpHqHO-~ BO./Iopo~lHO~ CB,q3H Me~Jly r p y r m a M ~ N H 2 r~ N H 3+ I,~OttOa E D A H +. F I p u a a r p e ~ a n I ~ n d o 1 6 0 ~ nO~ BanyyMOM c o ~ l e p x a H i i e a 3 0 T a ~ 0 6 a B o n u o r~oHa~aeTc~, IIo a c e g e o c T a e T c a a a 3HaaHTem, n o BblC/aleM ypoBHe, qeM 3 a a a e n u e C . E . C . , Bce r p y u n b ~ N H ~ OCTatOTC~ B c ~ n b a o ~ ~ o a o p o ~ H O ~ CB$13H. F I p e ~ n o n a r a r o T , qTo HpoiicXO]](HT npottecc KOH]IeHCaIs 3 a ~ o o q a v o u m g t B c e 6 e 3BOYIIoUHIO MO~leKyYI E D A H BbI3blBa,IOIIIHPI <(l:[O~liiMepHbte>> aCCOHHalIHH Me)KLIy <(IIpOTOHHIOOBaHHblM>>H ((HeFIpOTOHHpOBaHHbIM)> ]IHaMHHOM. F I p o M s m K a cycneH3H~t rJtrtHS~ ~IHCTItYlYlHpOBaHHO.~ ao~o~l T a ~ x e nOJ~iiOCTbrO He y ~ l a n a e r H3~blTKa E D A Bcne2lcTBrle p a ~ H o ~ e c H n c y m e c T B y r o u l e r o Mez<~ly HOHHbIMP[ r p y n n a M ~ B p a c x s o p e ( E D A H ~ + ~ E D A H +) 14 Ha I1oBepxHOCTI4 FYlHHbl. OqeB~4~lHO, 3T~ r p y n n b t H36HpaTeJIbHO aclcop6rlpy~oTcfl KaK (<TpRMeprfMer> a c c o ~ m a a H n ~ KOTOpblX ~ n e n 3 qeT~ipex Fpy~fl N H ~ + n M e ~ x ao~40po~ny~o c s a 3 b c FpyFl~aMH N H 2 . l-[ocae HarpeBaH~ np~ 200~ a 3 0 T 3a~lepmaHHbl~ Ha UOBepXHOCT~t F~KHbl ~b[JI FYlaBHblM o 6 p a 3 o M B s a ~ e ~OIIOB N H + . O 6 p a 3 o n a [ ~ r t e a M M O S n a yCHaHJ]OCb npHcyTCTa~eM II36b~TKa E D A H 6 b ~ a o 3~a~mTenbiio 6bICTpeC, qeM 8 a r p e r a T a x MOHTMOp~[~IOH!&Ta c o ~ e p x a m ~ x E D A KOOp~l/HHpOaaHiiblX C HOHaMH C u 2 +.
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