the mechanism of d- metal ions sorption from aqueous media … · 2016. 11. 22. · 121...
TRANSCRIPT
Draft
The mechanism of d- metal ions sorption from aqueous
media and chelating sites structures of modified heterocyclic
biopolymers
Journal: Canadian Journal of Chemistry
Manuscript ID cjc-2016-0194.R1
Manuscript Type: Article
Date Submitted by the Author: 09-Jul-2016
Complete List of Authors: Kozlov, Vladimir; Ivanovo State University of Chemistry and Technology Nikiforova, Tatiana; Ivanovo State University of Chemistry and Technology Islyaikin, Mikhail; Ivanovo State University of Chemistry and Technology Koifman, Oskar; Ivanovo State University of Chemistry and Technology
Keyword: d-metal, cellulose modification, sorption mechanism
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The mechanism of d- metal ions sorption from aqueous media 1
and chelating sites structures of modified heterocyclic biopolymers 2
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Kozlov V.А., Nikiforova Т.Е., Islyaikin М.К., Koifman O.I. 4
Ivanovo State University of Chemistry and Technology 5
Sheremetevskiy Avenue, 7, Ivanovo, Russia 6
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corresponding author: Tatiana E. Nikiforova, e-mail: [email protected] 12
tel. 8(4932) 939331 13
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Sorption of d-metal ions (Cu2+, Fe2+ and Ni2+) from aqueous media using modified 26
heterocyclic biopolymers takes place with the participation of sorption sites – acidic groups: 27
α-hydroxycarboxylic (monobasic, bidentate), hydroxamic (monobasic, bidentate), and 28
aldehyde bisulphite (dibasic) in the form of chelate metal complexes, whose structures were 29
determined through the use of computational quantum chemistry on some modeled 30
compounds. 31
Ion exchange mechanism of the components of hetero-phase system in electroneutral, 32
molecular form reflects the implementation of the general laws of thermodynamics – Gibbs' 33
phase rule, law of mass action, law of equivalent proportions, and law of conservation of 34
charge at electroneutrality of phases. 35
Sorbents functional groups act as sorption sites whose filling goes in accordance with 36
their amount, denticity, basicity and ability of metal cations to complex formation and 37
solvation. The amount and the nature of acid sorption sites of sorbents permits to compare 38
their initial and maximum sorption abilities. 39
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Keywords: d-metal, cellulose modification, sorption mechanism. 41
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Introduction 51
Chelate metal complexes are very common in natural processes, they have a unique 52
and specific features that allows them to act in the photosynthesis of carbohydrates 53
(chlorophyll) and in animals breathing processes (heamin) whereby the pyrrollic rings act as 54
ligands in the macrocycle. These natural polipyrrollic ligands contain four pyrrollic rings in 55
their unit structure (porphyrins) which are embedded in the biopolymer structures. Denticity 56
of such sorption sites in the macroheterocycles is 4. However, the study of the peculiarities 57
and the mechanism of the chemisorptions of metal cations to form chelate metal complexes 58
can be made easier by beginning with one of the most common polyheterocyclic sorbent – 59
cellulose, which has a simpler functional acid groups-sorption site with denticity not 60
exceeding 2, cellulose being the most available polyheterocyclic biopolymer and its modified 61
forms can be used as sorbents. 62
The sorption of heavy metal ions by biopolymers on the basis of β-D-glucose is of 63
great importance in various fields of science and technology. Cellulosic materials are 64
promising sorbents for the sorption of heavy metal ions; derived from available, cheap, 65
renewable and biodegradable natural resources.[1-3] 66
Among the requirements placed on sorbents, the most important are high sorption 67
capacity in relation to a wide spectrum of metal ions or selectivity to ions of one metal, ability 68
to speedily and strongly bind metal ions, possibility of regeneration (recycling), 69
environmental friendliness, cheapness and high availability. Most authors see the low sorption 70
capacity while using cellulosic biopolymer sorbents as the main problem. It should be noted 71
that the most profitable use of cellulose sorbents is in the purification of very dilute solutions, 72
which allows achieving very low concentration of metal ions.[4]
73
Presently in the literature there is a large number of experimental data on the sorption 74
of metal ions from aqueous solutions of their salts by various cellulose-containing materials, 75
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also in recent years there has been a rapid growth in researches touching the use of cellulosic 76
materials in the natural state as well as in their modified forms for the sorption of heavy metal 77
ions from aqueous media.[5-8]
78
Thus, in the removal of divalent metals of the natural form of jute fibers its sorption 79
capacity decreases as follows: Cu (4.23 mg⋅g-1
) > Zn (3.55 mg⋅g-1
) >Ni (3.37 mg⋅g-1
). Lignin 80
isolated from paper wastes, removes heavy metal ions from aqueous solution of their salts in 81
the following sequence: Pb(II) > Cu(II) > Cd(II) > Zn(II) > Ni(II).[9]
In the study of Zn(II) and 82
Pb(II) on the fibers of coconut palms,[10]
it was found that the sorbent has a stronger affinity 83
for Pb(II) ions than for Zn(II) ions. The sequence of increasing sorption effectiveness of metal 84
ions using wastes of grapefruit follows this: Pb(II) > Cu(II) > Ni(II) > Cd(II).[11] 85
Variety of agricultural wastes are used in sewage treatment of Pb(II), Cd(II), Hg(II), 86
Cu(II), Ni(II), Cr(III) and Cr(VI) ions: peanut shells and walnut husk, green almond, tea 87
leaves, olive oil production wastes, jute fiber, sunflower stalks, tobacco leaves and maple 88
peels, oak, spruce. While the sorption values can vary within a wide range depending on the 89
raw material used: 0.3-14.3 mg⋅g-1
for Cu(II), 0.4-10.8 mg⋅g-1
for Cd(II) and 1.47-10.9 mg⋅g-1
90
for Cr(III) ions.[2] 91
In addition to experimental data accumulated, the theoretical understanding of the 92
mechanism of heavy metal ion sorption processes was formed taking in account the nature of 93
functional groups (sorption sites) of polysaccharides, their interaction with metal ions, also 94
the influence on sorption process by various factors, like pH, solution temperature, 95
concentration of strong electrolyte, etc.[12] 96
During the development of new sorbents it is important to find a polysaccharide 97
material treatment method aimed at improving their sorption properties in relation to heavy 98
metal ions. 99
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Works[13-17] suggest different methods used in modifying cellulose-containing 100
polymers by using mechanical, physical, biochemical and physico-chemical types of 101
treatment. The main goal of modification is to increase the internal adsorption surface, the 102
availability of active groups, also creation of new sorption-active sites on the sorbent surfaces 103
(surface functionalization). Chemical modification allows significantly increase the sorption 104
capacity of natural sorbents by using inexpensive and readily available reagents. 105
Two main approaches can be used for the conversion of cellulose containing materials 106
to biosorbents having the ability to effectively remove heavy metal ions from aqueous 107
solutions. First of the approaches is based on the methods by which macromolecules of 108
cellulose are directly modified leading to the creation of functional groups in its structure, 109
having the ability to participate in chelation or ion exchange with heavy metal ions of aqueous 110
solutions. The other approach is associated with polymer analogous transformations by 111
grafting of certain monomers to the cellulose macromolecules, having direct sorption 112
reactivity towards to heavy metal ions or allowing further functionalization of the grafted 113
polymer chains to form chelating structures. 114
The first approach includes operations such as delignification, hydrolysis, oxidation, 115
attachment of carboxyl, sulfo-, nitro-, phosphate-, amino-groups, etc. with the use of various 116
reagents: alkali solutions such as sodium, potassium and calcium hydroxides,[18, 19]
mineral 117
acids (hydrochloric, nitirc, phosphoric, sulfuric),[20] organic acids and acid anhydrides 118
(tartaric, citric, succinic),[21, 22] oxidizing agents (hydrogen peroxide, potassium 119
permanganate, potassium metaperiodate), [23, 24] and organic compounds of different classes 120
(ethylenediamine, formaldehyde, epichlorohydrin, methanol, amino acids, acrylonitrile), 121
reactive dyes (monochlorotriazine types), enzymes and others used in the removal of soluble 122
organic compounds, decolouration of treated water solutions and increasing the effectiveness 123
of metal ions sorption.[25] 124
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Literature review shows that in a vast majority of papers, the Langmuir's model has 125
been used to describe the sorption equilibrium of polysaccharide-based sorbents, due to high 126
correlation coefficient values (0.97 – 0.99), the Freundlich's model, Dubinin-Radushkevich's 127
models and others has been used also. Thus the Langmuir model has been successfully used 128
in processing the isotherms of Cd(II) and Pb(II) ions sorption on grape bagasse,[26] Ni(II) and 129
Cd(II) ions on stems of water hyacinth,[27] Cu(II) и Zn(II) ions on lignocellulose substrate 130
based on wheat bran,[28] Cd(II) ions on coconut shell fibers. [29] 131
For the description of the experimental isotherms of Сu(II) and Cd(II) ions sorption on 132
rice husk, Demirbas[2] used Langmuir and Freundlich's adsorption models. Review of research 133
on Cr(III) ions[30] also shows that the most frequently used model for processing of heavy 134
metal ions' sorption data are the Langmuir's and Freundlich's models. Isotherms of Th4+ and 135
UO22+ ions sorption on chitosan, transversely cross linked by epichlorohydrin, and 136
chitosan/clinoptinolite composite, were processed with three models - Langmuir's, 137
Freundlich's and Sips'.[31] It is noted that the experimental data were more accurately 138
described by the Langmuir's model. 139
In review[32] it is noted, that, despite the fact that the Langmuir model does not provide 140
information on the sorption mechanism, it is usually correctly (with a correlation coefficient 141
close to unity) allows to describe the experimental isotherm of heavy metal ions sorption by 142
cellulose biosorbents and to determine the maximum sorption capacity of sorbents. 143
To determine the peculiarities of the mechanism of metal cations removal from 144
aqueous media as a chemisorptions process, it is particularly important to trace the influence 145
of the components nature of the hetero-phase system (salts, acids, the cellulose functional 146
groups) on the thermodynamics of metal cations sorption process. 147
In the works[17, 33, 34] hypothetical sorption site structures were used, which now 148
necessitates the need of representing ion exchange mechanism as a chemisorptions process on 149
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cellulosic sorbents, that will involve the computation of the chelate structure of some modeled 150
compounds sorption sites. In the same place of importance and urgency, stands the 151
development of scientific foundations, focusing on the chemical modification and 152
clarification of the specifics involved in sorption of heavy metal cations from aqueous media 153
by natural and modified sorbents. 154
The aim of this work was to study the peculiarities of the mechanism of the processes 155
of protodesorption and sorption of metal ions Cu(II), Ni(II) and Fe(II) from aqueous solutions 156
by cotton cellulose and its chemically modified samples with acidic sorption sites of different 157
basicity and denticity, having the ability of bonding with cations forming chelate metal 158
complexes and the determination of their structures through the use of computational quantum 159
chemistry on the modeled compounds. 160
Experimental 161
Sorption kinetics was investigated by a method of limited solution volume. To obtain 162
the kinetic sorption curves, the samples of a sorbent (m; 0.1 g) were placed into several flasks 163
filled with 10 ml (vol) of aqueous solution of metal sulphate and kept under stirring at 273 K 164
from 5 minutes to 24 hours. The initial concentration (C0) of metal ions was 1.5・10–4
mol l–
165
1. The solution was separated from the sorbent by filtration at definite time intervals; the 166
current concentration of metal ions (Cτ) was determined by atomic absorption spectroscopy 167
(Saturn-2000 apparatus). 168
To obtain the sorption isotherms, the samples of a 0.1 g sorbent (m) were placed into a 169
series of flasks, and the metal sulphate aqueous solution (10 ml portions by volume) was 170
added into these flasks with initial concentrations (C0) ranging from 1.5・10–4 to 5・10–2 mol 171
l–1. The geterophase sorbent – water solution of the metal sulphate system was used to achieve 172
the equilibrium state at 273 K. The solution was then separated from the sorbent by filtration. 173
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The equilibrium concentration of metal ions in solution (Cs) was determined by atomic 174
absorption spectroscopy. 175
The sorption capacity (Aτ) of sorbents at any given period was calculated according to 176
the following formula: 177
Vm
ССА ⋅
−=
)( 0 ττ (1) 178
After establishing the equilibrium in the system, the equilibrium concentration of 179
metal ions in the solution (Cs) was measured, and equilibrium sorption capacity of sorbents 180
(As) was calculated as follows: 181
Vm
ССА S
S ⋅−
=)( 0 (2) 182
Sorption degree α was determined using equation (3) 183
%1000
0 ⋅−
=С
СС Sα (3) 184
The pH of solutions was calculated using a pH meter. 185
The number of carboxyl groups in the original cellulose molecule was determined by a 186
classical method based on the interaction between acid groups and calcium acetate and by 187
titrimetric determination of the acetic acid evolved. Its content per unit mass was taken equal 188
to the value of the carboxyl group acidity [4]: 189
[ ] gCVCOOH NaOHNaOH /⋅=− , (4) 190
where VNaOH is the volume of NaOH for titration (ml); CNaOH is the concentration of NaOH 191
solution (mol l–1
) and g is the weight of the sorbent. 192
The content of aldehyde groups in native and oxidized cotton cellulose was 193
determined by iodometric titration. 194
[ ] %,1000
100)(51,14
q
banCOH
⋅
⋅−⋅⋅=− (5) 195
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where a is the volume of hyposulphite solution for titration in a control experiment (ml); b is 196
volume of hyposulphite solution for titration in a basic experiment (ml); q is weight of a 197
cotton cellulose (g); n is the normality of hyposulphite solution and E–COH (= 14.51) is the 198
gram equivalent of aldehyde groups involved in the reaction. 199
The relative error of the experiments was calculated based on equilibrium and kinetic 200
experiments in which each point represents an average value taken from three parallel 201
experiments. The error in determining the concentration of metal ions using the Saturn-2000 202
apparatus was 3%, and the experimental error did not exceed 10%. 203
Results and discussion 204
With the purpose of improving the equilibrium-kinetic characteristics of the sorbent 205
also for the validation of the mechanism of heavy metals sorption from aqueous media, 206
chemical modification was carried out by selectively oxidizing the cotton cellulose with 207
sodium metaperiodate forming dialdehyde cellulose. The periodate ions interact with 208
cellulose without destruction of fibres. The action of sodium metaperiodate on cellulose 209
resulted in the oxidation of two neighbouring alcoholic groups in C2 and C3 to aldehydes with 210
the simultaneous rupture of the carbon–carbon bond. A dialdehyde cellulose is thus formed. 211
In this case, however, there is no oxidation of primary alcoholic group.[35] 212
The condition of selective oxidation of cellulose used, was performed is such a way, 213
that the number of aldehyde groups formed were practically equal to the number of carboxylic 214
groups in the initial cellulose. Further modifications were carried out by the quantitative 215
conversion of aldehyde groups to other acidic types. 216
1. To hydroxamic acidic groups: 217
NH2OH·HCl H2O2 218
НООС(НО)СН-Cell-СН=О → НООС(НО)СН-Cell-СН=NOH → 219
→ НООС(НО)СН-Cell-СONHOH; 220
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2. To aldehyde bisulphite acidic groups: 221
NaHSO3 + {НООС(НО)СН-Cell-СН=О → НООС(НО)СН-Cell-HС(OН)SО3Na}. 222
In the aqueous phase, due to the high dielectric constant and sufficiently high donor-223
acceptor activity of water, surface inactive substances dissociate to ions as a result of 224
electrolytic dissociation. It can be said that the metal cations and protons in the aqueous media 225
exist in the state of hydrated complexes [M·(H2O)n]2+ and [H·(H2O)n]+. 226
Furthermore, the state of the metal cation and proton in the phase of the cellulose 227
sorbent needs to be ascertained from the standpoint of chemical structure theory. Cellulose in 228
the aqueous solution swells and due to electron-donor groups can sorb protons. In such a case 229
the sorbents sorption space in the acid pH range will be filled exponentially, starting from the 230
more active groups -СОО− with the formation of salt groups (-СОО)2М or acidic groups in 231
the form of –СООН, whose structures will be largely dependent on the neighbouring electron 232
donating groups. In cellulose α-hydroxylcarboxylic groups –CНOНСООН or α-233
alkoxycarboxylic groups –CНORСООН can act as dentate groups in the formation of chelate 234
five-membered H- and metal complexes of monobasic, bidentate type (N = 1, n = 2). 235
The conjugation effect of carbonyl (>С=О) and N- hydroxyamide (-NH–ОН) groups 236
of the hydroxamic acid group (-CONHОН) gives it an acidic property comparable to that of 237
carboxylic acids. Supposing that the proton of hydroxyl is more acidic, and the oxygen of 238
carbonyl takes part in the formation of dentate bonds. However it is still not clear which of the 239
protons in N-hydroxyamide groups is more acidic and which of the oxygen in (-CONHОН) 240
groups is more susceptible to dentate bond formation with electron accepting agents (cations 241
М2+ or protons Н+). However such an acidic group as –CONHОН should have the properties 242
of a monobasic (N = 1), bidentate (n = 2), with the tendency of forming a five-membered 243
chelate of H- and metal complexes. 244
The resemblance of sorption sites structures of the modified cellulose, proffers a 245
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similar character to the α-hydroxylcarboxylic (-CНOНСООН, N = 1, n = 2) and N-246
hydroxycarbamide (-CONHОН, N = 1, n = 2) groups during interfacial ion exchange 247
interactions with 2Н+ and М
2+, while the characters of hydroxamic (-CONHОН, N = 1, n = 2) 248
and hydroxymethylsulphonic (-CHOH-O2O−, N = 2, n = 2) would be different. 249
In this work cellulose samples with the following sorption sites were used: 250
(I) An unmodified one containing α-hydroxycarboxylic acid groups: 251
[НООС(НО)СН]-Cell; 252
(II) A modified one containing α-hydroxylcarboxylic and hydroxamic acid groups: 253
[НООС(НО)СН]-Cell-[СОNНОН]; 254
(III) A modified one containing α-hydroxylcarboxylic and aldehyde bisulphite acid 255
groups: [ООС(НО)СН]-Cell-]СН(ОН)SO3Na]. 256
The above samples were used in receiving sorption isotherms of copper, iron and 257
nickel ions from the aqueous solutions of their sulphate salts at pH 6 (Fig. 1-3). 258
Earlier[17] it was shown experimentally, that sulphate- anions from acidic aqueous 259
solutions are not sorbed by cellulose sorbents, which allows to view the sorbents as cation 260
exchanging gel sorbents. 261
In cellulose sorbents, the anion forms of acidic carboxylic functional groups bond with 262
cations as salts, forming carboxylates in the acidic pH region: рН = рКа-соон ± 2, this gives the 263
ability to study М2+/2Н+and М2+/2Na+ ion exchange in the acidic region (рН 2-6). 264
The thermodynamics of interfacial metal cation exchange is usually viewed in a 265
context of mechanism without the participation of anions in the process, with the assumption 266
that the multiplier of the activity coefficients of cations in the phases equals to unit. 267
Scheme I. Ion exchange of metal cations М2+
/2Na+ 268
М2+ + {Сell-(CHOH-COONa)2 ↔ Сell-(CHOH-COO)2М} + 2Na+ 269
Ion exchange М2+/2H+ 270
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М2+ + {Сell-(CHOH-COOH)2 ↔ Сell-(CHOH-COO)2М} + 2Н+. 271
From the study of protodesorption mechanism[33] it was shown, that cations can not 272
pass through the interfacial border without their anionic carriers, therefore the interpretation 273
of the mechanism of protodesorption in the form of purely ion exchange (Scheme I) can not 274
be substantiated with experiment. 275
Thus it was offered mechanism of ion-molecular type, with the participation of cations 276
and their anionic carriers as salts or acidic molecular forms of the independent components in 277
the heterophase system (aqueous solution of salts and acids - cellulose sorbent) with 278
electroneutrality of the phases. It can be viewed in the scheme II.[33] 279
Scheme II. МSO4 + {Сell-(CHOH-COOH)2 ↔ Сell-(CHOH-COO)2М} + H2SO4 280
---↕-- К=1 К = Кан2so4--↕--- 281
М2+ + SO42- 2Н+ + SO4
2- 282
283
МCl2 + {Сell-(CHOH-COOH)2 ↔ Сell-(CHOH-COO)2М} + 2HCl 284
---↕--- К=1 К = Канcl ---↕--- 285
М2+ + 2Cl- 2Н+ + 2Cl- 286
The justification of ion-molecular mechanism has been made from the point of view of 287
Gibbs phase rule applied to the system of DoF (Degree of Freedom) = 1: four components 288
(water, acid, salt, cellulose), with 2 independent components (K = 2: water and acid) 289
connected together through concentration, two phases (P = 2: aqueous solution - cellulose 290
sorbent), and with only one variable parameter (n = 1) – acid concentration, constant 291
parameters of the system are - temperature, pressure, salt concentration (interface indicator), 292
module (sorbent/solution). Such a system is (F = К + Р + n = 2 – 2 + 1 = 1) monovariant. The 293
values of other parameters in the system will depend on the acid concentration. 294
Schemes I and II are alternatives to the sorption mechanism and they are mutually 295
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exclusive in occurrence. To proof, which one of them is substantiated through experiment 296
(purely ion exchange М2+/2Н+ by scheme I or ion exchange with the participation of acidic 297
and salt components in their molecular forms МSO4/H2SO4 or МCl2/2HCl by scheme II), we 298
need to determine the degree of hydrogen ion participation in the reaction of protodesorption 299
of cations for the multicomponent, monovariant, heterophase system. 300
In scheme I (the ion exchange М2+/2Н+) the indicator of the degree of proton 301
participation is supposed to be 2. In scheme II (the ion exchange МSO4/H2SO4) the indicator 302
of the degree of sulphuric acid participation should be 1, and proton ½. In the ion exchange 303
with МСl2/2HCl participation it should be 2, and proton ¼. [17, 33] 304
For checking the correlation of sorption sites structure specifics with the sorption of d-305
metal cations from the two - phase system “aqueous solution of salts - cellulose sorbent”, the 306
sorption isotherms received at рН 6 (Fig. 1-3) were used, where all the acidic functional 307
groups of the cellulose sorbents taking part in the sorption at their first stage of dissociation, 308
were in the active anion-salt state (-СНОНСОО−, -СОNНО−, -СНОНSO2O−), while the metal 309
cations in the aqueous phase were in the thermodynamically stable hydrated state of 310
М(Н2О)n]2+. This allows to write down the process of filling of the sorbents anionic sorption 311
sites in the region of saturation: 312
a) For the one-staged dissociation type of the monobasic bidentate functional groups 313
МSO4 + {Cell-[(СНОНСООNa)2] ↔Cell[(СНОНСОО)2M]} + Na2SO4 (stage I) 314
МSO4+ {Cell-[(СОNНОNa)2] ↔ Cell-[(СОNНО)2M]} + Na2SO4 (stage I) 315
b) For the dibasic groups of a two-staged dissociation type. 316
МSO4+ {Cell(HСОНSО2ОNa)2 ↔ Cell[(HСОНSО2О)2М]} + Na2SO4 (stage I) 317
МSO4+ {Cell[(HСОНSО2О)2М] ↔ Cell[(HСОSО2О)М]2} + H2SO4 (stage II). 318
The amount of the cellulose α-hydroxylcarboxylic groups (monobasic bidentate) is 319
practically equal for modified samples, so such characters of isotherms result solely from the 320
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difference apparent in the sorption sites nature of the samples: hydroxamic groups (monobasic 321
bidentate) - sample 2; aldehyde bisulphite groups (dibasic bidentate) – sample 3. 322
0 10 20 30 40 50 60
0,0
0,2
0,4
0,6
0,8
1,0
1,2
1,4
А,
mo
l . k
g-1
С . 103, mol . l-1
1 23
323
Fig. 1. 324
Differences in the nature of the acid groups of the sorbents have allowed to reveal the 325
mechanism peculiarities of cations М2+
chemisorption with their participation in the initial 326
(Henry's region) and ending (saturation region) sections of the isotherms helping in recording 327
the dependence of sorption on chemical structures of sorption sites: [17] 328
1) Isotherm section of the Henry's region. At the initial linear segment of the sorption 329
isotherm heavy metal ions sorption must occur proportionally with respect to the number of 330
sorption sites (Сss) and the bond strength of the d-metal cations attached to it. The later will be 331
proportional to the denticity of the ligand n′D – number of coordinate bonds of cation - 332
sorption site. In such a case, the sorption (A) must be described with a relationship, in which 333
the Henry's constant КH will be proportional to the product of the number of sorption sites and 334
their denticity: Сss·n′D for all the sorbents sorption site (finite discrete integral ∑). Based on 335
the sorption sites structures one can say the denticity of α-hydroxylcarboxyl group equals two, 336
n′D = 2, (bidentate, monobasic), for hydroxamic group - n′D = 2 (bidentate, monobasic), and 337
for the aldehyde bisulphite group, for the first filling stage - n′D = 1 (monodentate, 338
monobasic). 339
Аini = КH·Сs = α·(∑Сss·n′D)·С s. = tgα·Сs. 340
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where α is a proportionality coefficient, Cs is the concentration of metal cations in aqueous 341
solution, Сss is the concentration of sorbent sorption sites, КH·is the Henry's constant. 342
0 10 20 30 40 50 60
0,0
0,2
0,4
0,6
0,8
1,0
1,2
1,4
А, m
ol
. kg
-1
С . 103, mol . l
-1
12
3
343
Fig. 2. 344
0 10 20 30 40 50 60 70
0,0
0,2
0,4
0,6
0,8
1,0
1,2
1,4
А,
mo
l . k
g-1
С . 103, mol . l
-1
1 23
345
Fig. 3. 346
In such a case the calculated tangents of the slope angles α·(∑Сss·n′D) for the initial 347
linear sections of sorption isotherms characterize Henry's law constants for each of the three 348
type of samples. These relationships are observed from experiment and computed data (Fig. 349
1-3), with the condition, that the number of each sample sorption sites is practically equal, but 350
with variations in their denticities at the first sorption stage: 351
(КHII):(КHIII): (КHI) = (α∑Сss·n′DI +α∑Сss·n′DII):(α∑Сss·n′DI +α∑Сss·n′DIII): (α∑Сss·n′DI) ≈ 352
≈ (2+2):(2+1):(2) ≈ (2):(1,5): (1). 353
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In this case the tangents of the slope angles follow the sequence tgαI I> tgαIII > tgαI 354
(Fig. 1-3) and the calculated quantities of Henry's constants follow suit as (KHII) > (KHIII) > 355
(KHI), showing that they correlate well enough. 356
With the stage-wise filling mechanism observed in the initial linear section (Henry's 357
region), the sorption isotherm of sorbent (II) lies above that of sorbent (III) due to the fact that 358
n′DII>n′DIII for the first stage. 359
2) Isotherm section of the saturation region. This is the final, almost linear isotherm 360
section (saturation region), in which all the sorption sites almost completely filled out. In this 361
case, the total sorption А∞ of each sorbent sample will be determined by the maximum 362
sorption value in all their steps of filling, so it should be proportional to number (Сss) of 363
sorption sites and their basicities (NB) for all sites (∑): 364
А∞ = α·(∑ Сss·NB). 365
The modified sorbents contain α-hydroxylcarboxylic groups (Сss, NBI = 1, nI = 2, Сеll-366
CHOH-COO−) in combination with an equal amount of immobilized sites having different 367
basicities: hydroxamic acid (Сss, NBII = 1, nII = 2, Сеll-CONHO−) and aldehyde - bisulphite 368
groups (Сss, NBIII= 2, nIII = 2, Сеll-HСОНSО2О−). The isotherm of sorbent (III) lies higher 369
than that of sorbent (II), А∞III > А∞II (Fig. 2, 3). As a result the isotherms for all the cations 370
will intersect which matches the experimental and estimated results. The ratio of estimated 371
maximum sorption values А∞ for the three samples with an equal number of sorption sites but 372
with different basicities (NI = 1, NII = 1, NIII = 2) should follow this sequence: 373
А∞I:А∞II:А∞III ≈ (α∑Сss·NB1):(α∑Сss·NB1+α∑Сцс·NB2):(α∑Сss·NB1+α∑Сss·NB3 ) ≈ 1 : 2 : 3. 374
This is in good agreement with the experimental А∞I:А∞II:А∞III = 0.4:0.8:1.2 (Fig. 1-3) and 375
estimated values of the limiting sorption received from the Langmuir's model. А∞I:А∞II:А∞III = 376
0.53:0.92:1.52. 377
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3) Sorption isotherms of the sorbents with the similar nature. Samples of sorbents I 378
and II have the similar nature (nDI = 2, NBI = 1 for α- hydroxycarboxyl and nDII = 2, NBII = 1 379
for hydroxamic groups) but different in their sorption site amounts СssI ≈ Сss for sorbent I and 380
СssI + СssII ≈ 2Сss for sorbent II. In such a case, with КLI ≈ КLII from the Langmuir's model 381
which is fair approximation for the same and equivalent sorption sites, we can expect them to 382
have comparable values of tangents of the slope angles tgα1:tgα2≈(КHI):(КHII) ≈ 1:2 for the 383
initial section of their isotherms and for their limiting sorption values tgα1:tgα2 ≈ 384
(КLI·А∞I):(КLII·А∞II) ≈ А∞I:А∞II ≈ 1:2, which correspond to that of experiments (Fig. 1-2). 385
Samples I and II have the same mechanism of sorption, because they are of the same 386
denticity and the same basicity of sorption sites, both for the initial, middle and final sections 387
of their isotherms. 388
4) Sorption isotherms of the sorbents with the different nature. For samples II and III, 389
sorption isotherms are convex, different in forms and intersecting with each other (А∞II < 390
А∞III, Аini-II > Аini-III), having differences in their mechanisms of filling for the initial 391
(denticities dominate: that is the bond strength with cations), middle and final section of 392
sorption isotherms (basicitiy of sorption sites is the dominating factor, that is the number of 393
bonds to each adsorbed cation). In such a case, the ratio of denticity to basicity of the 394
available sorption sites at the initial segment will favour the hydroxamic site (n/N = 2/1), 395
while the final isotherm segment will favour aldehyde bisulphite sites (N/n = 2/1). It is 396
evident that their isotherms will intersect, because of these differences in their sorption sites. 397
Despite a significant difference in basicities and denticities of the sorption sites of 398
samples II and III, description of intersecting isotherms involving the law of mass action 399
(Langmuir's model) gives reliable results of the maximum sorption values. They are 400
proportional to the basicity of sorption sites (NBI = 1, NBII = 1, NBIII = 2) for samples with 401
equal sorption site amounts (Сss). 402
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(А∞II):(А∞III) ≈ (α∑ Сss ·NBI + α∑Сss ·NBII) : (α∑Сss ·NBI + α∑Сss ·NBIII) ≈ 2:3. 403
The estimated (calculated) data based on the number and structure (denticity and 404
basicity) of sorption sites and experimental data obtained by processing of isotherms of metal 405
ions (Сu2+, Fe2+, Ni2+) sorption are in good agreement with each other: (А∞II):(А∞III) ≈ 2:3 406
(estimated) ≈ (0,92):(1,52) (Langmuir's model). While the values of the constants КL obtained 407
for samples II and III are significantly different (КLII = 279) > (КLIII = 83). With the same 408
amount of sorption sites and different denticity (n′II = 2 and n′III = 1 for the initial section of 409
isotherm) and basicity of sorption sites (NBII = 1 and NBIII = 2), these differences in the 410
constants suggests great influence of the nature of functional groups on the shape of the 411
sorption isotherms. 412
The shape of the initial section of the isotherm (tgα = KH) is determined by the metal 413
cation binding strength, and the more adsorption centers number and their denticity, the 414
greater the tangent of slope angle of the initial section of the isotherm (the higher the Henry's 415
constant KH), the contribution of the basicity of sorption sites (the degree of sites filling) thus 416
negligible. 417
Maximum sorption value is achieved at the final section of the isotherm (saturation 418
region) and is determined by the amount and and basicities of the available sorption sites. In 419
this region the role of their denticities (bond strength) will be negligible. In this region the 420
role of their denticities (bond strength) will be negligible. The quantitative characteristics of 421
initial and final sections of the sorption isotherms, reflect the specifics associated with the 422
nature, structure and characteristics of sorption sites structures. 423
The values of the maximum sorption for all sorbents with different sorption sites 424
follow this relationship А∞II < А∞III while reversed to that of Langmuir's constants КLII > КLIII. 425
Differences in sorption sites of a particular sorbent is highly cited as an argument 426
against the applicability of the Langmuir's model for explaining the sorption processes. 427
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The limitations of the Langmuir's model are valid for weak interactions at sorption like 428
universal solvation or quasi chemisorptions of nonpolar substances. In a case of distribution 429
of particles between phases (ion exchange) with strong (specific) interactions in the phases, 430
the Langmuir's model will correspond to the law of mass action in this case. With the 431
correlation coefficient close to unity, this shows the good applicability of the Langmuir's 432
model to explaining ion exchange processes on sorbents, both for similar or different sorption 433
sites types. 434
The posed interpretation for the sorption mechanism for the similar sorption site types 435
(I, II) and the different site types (II, III) of sorbent samples is fully consistent with 436
thermodynamics of reversible processes, whereby the sorption of ions and ion exchange can 437
be considered as a variety of chemical processes occurring between the components of the 438
heterophase system with the participation of the sorbent's active groups in these processes. 439
Such approach to elucidation of the mechanism of chemisorptions of metal cations 440
M2+ from aqueous media by cellulose sorbents, based on knowledge of the nature, quantity 441
and structure of the sorption sites and the solvation of ions in the phases allows to identify the 442
causes of noncompliance or compliance involved in the description of sorption isotherms 443
through various theories of sorption and to determine the limits of their application, especially 444
for the models most frequently used for explaining the sorption of metal cations from aqueous 445
media. 446
Sorption equilibrium depends on the nature both of sorbate and phases. Phases and 447
their constituent components act as reagents that quantitatively and qualitatively affect the 448
solvated-complexes of cations in the phases of sorption sites. 449
The salts of Cu(II), Fe(II) and Ni(II) sulphates are strong electrolytes, in water they are 450
in the form of hydrated ions. In the solid phase of the sorbent, they are in the coordinated – 451
salt forms bonded to the anionic sites of the sorbent. Such solvated complexes in the phases 452
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differ in energy and structure. That is reflected on their salts solubility in the aqueous phase 453
and on the distribution of cations in the hetero-phase system “aqueous solutions of salts - 454
cellulose sorbent”. 455
In aqueous solutions of metal sulfates with higher solubilities, the cations are largely 456
hydrated and, as a consequence, it will be more difficult to sorb them. The series of salt 457
solubility and sorption of the cations are inversely related. 458
These allows to interpret the mechanism of the processes of metal cations sorption 459
from aqueous media by natural and modified cellulose as a conjugated and equivalent ion 460
exchange process, with the acidic groups acting as sorption sites, forming coloured and 461
colourless chelate metal complexes with Cu2+, Fe2+, Ni2+: 462
In the α-hydroxylcarboxyl groups: 463
MSO4 + {Сell-(CHOH-COOH)2 ↔ Сell-[(CHOH-COO)2M]} + H2SO4 464
colourless colourless 465
In the hydroxamic groups: 466
MSO4 + {Сell-(CO-NH-OH)2 ↔ Сell-[(COH=N-O)2M]} + H2SO4 467
colourless coloured 468
Colours of the complexes are reddish-brown with iron(II) and green with copper(II). 469
In the aldehyde-bisulphite groups (substitution in I and II dissociation steps): 470
MSO4 + {Сell-(CHOH-SO3Na)2 ↔ Сell-[(CHOH-SO3)2M]} + Na2SO4 471
MSO4 + {Сell-[(CHOH-SO3)2M] ↔ Сell-[(CHO-SO3M)2]} + H2SO4 472
colourless colourless 473
The sorbent with hydroxamic groups forms coloured complexes of the chelate type 474
with d-metal ions Сell-[(COH=N-O)2M. The colour appears as a result of the formation of 475
five-membered chelate rings, with the ring atoms forming a complex due to the charge 476
transfer during metal–ligand interactions with the participation of a π-conjugated system 477
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between key atoms of the ligand and d-atomic orbitals of the metal ions. Sorption of metal 478
ions by cellulose on the α-hydroxylcarboxyl and aldehyde-bisulphite groups was not 479
accompanied by a colour change of the sorbent. Colourless chelate charge-transfering 480
complexes are formed in the absence of conjugation in the systems between the key atoms 481
(O) of the ligand, due to the presence of (>СН–) in the chain as in the case of α- 482
hydroxylcarboxylic (НО-С′Н-СОО–) and aldehyde-bisulphite (НО-С′Н-SО2О-) groups. 483
Since the difference in denticity, basicity and the amount of sorption sites of sorbents 484
has a different and significant impact on the initial section (region of Henry's law) and 485
maximum (saturation region) of the sorption isotherms (Fig. 1-3), this allows to perform 486
targeted modifications of cellulosic materials used for various purposes and in various 487
technologies for the removal of heavy metals from aqueous media both for the static and the 488
dynamic conditions. 489
Sorbents with polydentate, monobasic sorption sites are more efficient when removing 490
the d-metal cations from dilute aqueous solutions and sorbents with the same amount as 491
above, but with polybasic sorption sites will be more effective for sorption of d-metals cations 492
from concentrated aqueous solutions. 493
Computational quantum chemistry modeling method was performed on some modeled 494
compounds having functional groups of the same type as that of the used sample sorbents: 2-495
hydroxyethanoic acid, N-hydroxylacetamide and sodium ethanalbisulphite. 496
The quantum chemistry computation were performed using the DFT method with the 497
B3LYP method of Hybrid Functional Theory with the 6-31+G(d, p) basis sets with the help of 498
the software package Firefly 8.1.0 with full optimization of the geometric parameters and the 499
verification of the conformity of the found minima of the potential energy surface by critical 500
conditions. Preparing of the input data, and the processing and visualization of results were 501
performed with help of the software ChemCraft. 502
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The fragment of the carboxylic acid with the hydroxyl group in α-position is an almost 503
planar cyclic five-membered chelate H-complex in which the proton of the carboxyl group is 504
linked to the oxygen of the alcohol group by an intramolecular hydrogen bond. This type of 505
configuration is more polar than other configurations. It helps to strengthen the acidic 506
properties of such fragments. 507
Following the above statement; the carboxylic group in the polysaccharides which also 508
has electronegative groups (НО- hydroxyl and RO- alkoxyl) in the α-position is supposed to 509
support the cyclic five-membered H-chelate structure and increased acidity (рКа-СНОНСООН ≈ 510
4). It is advisable to present such structures with reflection of the nature of the neighbouring 511
groups participating in the formation of the dentate bonds of H- or metal complexes type in 512
the form of a Cell-(CHOH-COOH) or as shown on the modeled compound CH3-CHOH-513
COOH. 514
Conformational structure of propene-1-triol- 1,1,2 is a tautomer
of lactic acid, H- chelated form of which has two flat cycles (five-
membered and four- membered).
Usually compounds with a hydroxyl group at double bond or with two hydroxyls at 515
one carbon atom are very unstable and immediately reform to the carbonyl structures, while 516
the hydrogen atoms in the α-position retain their predisposition to the keto- enol tautomerism. 517
Сell-[СНОН-СООН] ↔ Сell-[СОН=С(ОН)2] 518
Mobile hydrogen atoms of cyclic chelate form 2 intramolecular bonds giving some 519
amount of stability to the enol structure. However, judging from the total energy of the 520
isomers such tautomeric entriol structure is less stable than the structure of the lactic acid 521
fragment. Thus the structure of cellulose sorbents sorption sites is the chelated structure of α- 522
hydroxycarbonic acids fragment. 523
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In N- hydroxyacetamide, the hydrogen at the amide nitrogen atom is mobile, which 524
allows it to be involved in keto-enol tautomerization with the formation of the enol structure 525
in the form of alkanoloxime. 526
R-[СО-NH-OH] ↔ R-СОH=N-OH 527
Both tautomers have the cyclic five-membered H-chelate form, which are stabilized by 528
intermolecular hydrogen bonds. Judging from Etot, the structure of N- hydroxyacetamide is 529
somewhat more stable than the acetoxime structure, the hydrogen of such stable acidic group 530
have a more high positive charge of (0.386 and 0.359, respectively). Thus hydroxamic 531
functional groups of the modified cellulose are in the form of five-membered chelate structure 532
(Cell-(СО-NH-OH). 533
The most stable of tautomeric and conformational structures of the anionic 534
hydroxamic acid group, is structure (1). Relative energies, Erel, of tautomers 1 and 4 are very 535
close. This allows the thermodynamics of dissociation of the most stable form of hydroxamic 536
acid to be modeled on the modeled compound (R- = CH3-) in the chelate form: 537
{R-(СО-NH-OH)cis -↔ R-(СОН=N-OH)cis-} ↔ R-(СО−=N-OH) cis- + Н
+ 538
(1) (4) (1′) 539
The “acid” hydrogen bonded to the nitrogen atom of the amide fragment is the one 540
that take part in the acidic dissociation of the hydroxamic acid groups (-СО-NH-OH), whose 541
acidic properties are strengthened by the electron accepting inductive influence from the 542
neighbouring hydroxyl group and also the shifting of electrons of σ- and π- bonds from 543
nitrogen to the carbonyl oxygen. This unusual type of acid dissociation through the tautomeric 544
acid forms (1) and (4) to the anionic form (1') is due to the fact that it preserves the 545
heterocyclic five- membered chelate form, which is stabilized by intermolecular hydrogen 546
bond. 547
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The chelate metal complex on the modeled compound
(Cell-…= CH3-).
The formation of chelate metal complexes is also accompanied by the substitution of 548
proton of the hydroxyl of (>N-ОH group) by cation of the most stable chelate H-form (1) with 549
the simultaneous transfer of the proton from nitrogen to the carbonyl oxygen, keeping the 550
form of the cyclic five-membered chelate structure unchanged: 551
М2+ + {Сеll-(СО-NH-OH)2 cis- ↔ Сеll-[(-СОН=N-O‾)2M2+] cis- + 2Н+. 552
The transfer of cations from one phase to another occurs together with their anions at 553
the electroneutrality of phases, in a form of the equivalent exchange of charged particles. In 554
this case, the acetalaldehyde bisulphite – anion can exist in the sorbent phase only with 555
oppositely charged ions in the form of sodium acetalaldehyde bisulphite. The structure of 556
such anionic form and the form of its sodium salt are similar. 557
The mechanism of thermodynamics of interfacial transfer of cations as electroneutral 558
salt or acidic components in the heterophase system (scheme II), permits the passage of the 559
process of ion exchange with unstable intermediates. In the first and second dissociation 560
stages, with the participation of its dibasic sorption sites in the aldehydebisulphite group 561
complete substitution takes place of, firstly; Na+, and later Н+ and their subsequent removal in 562
conjugation with sulphate ions to the aqueous phase. While in the organic phase the neutral 563
chelate metal complex of copper(II) in the ratio of 1:2 (in the first stage of substitution) and 564
1:1 (in the second stage) is formed based on coordination bond type, whose structure in the 565
modeled compounds are of the type: 566
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It should be noted, that the sorption of ions on the aldehyde bisulphite sorption sites 567
always leads to the formation of chelate metal complexes both at the first stage (initial section 568
of isotherm) and the second stage of substitution (final section of the isotherm). During the 569
first stage of substitution М2+ ions form a practically planar complex with four- membered 570
chelate cycles and a coordination number of 4, in which all the four coodinate bonds are 571
practically equal. Since the hydroxyl group of aldehydebisulphite anion having a lower 572
electron donating capacity relative to water, doesn't take part in the coordination bond with 573
copper. In the second stage of sorption, copper ion forms a neutral, chelate and polar complex 574
with coordination number of 2 of a practically planar five- membered cycle. 575
CONCLUSIONS 576
Sorption isotherms of d-metal cations are accurately described with active masses law. 577
In the process of sorption, the functional groups are independent sorption sites, their filling 578
being in accordance with their amount, basicity, dentate and the ability to dissociate. Ratios of 579
values of maximum adsorption capacities and Henry's constants are in good agreement with 580
the amount and basicity of the same type and different types of functional groups for the 581
cellulose samples investigated, which allows to predict the relative shapes of the isotherms 582
and sorption capabilities of sorbents. 583
The chelate structures with H- and metal complexes on acidic sorption sites were 584
computed with the methods of quantum chemistry on modeled compounds, by adhering to 585
chemistry's best practices. 586
Hydroxamic groups form coloured chelate metal complexes Cell-[(COH=N-O-)2M] 587
with Cu2+, Fe2+, Ni2+ cations. The colouration results from π-conjugation between key atoms 588
of oxygen in the four- atoms chain, during complex formation with charges transfer. 589
Acknowledgements 590
The work was supported by the Russian science Foundation, agreement № 14-23-00204. 591
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2015, 51(4), 510. http://dx.doi.org/10.1134/S2070205115040206 660
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35. D. Klemm, B. Philipp, Т. Heinze, U. Heinze, and W. Wagenknecht, Comprehensive 663
Cellulose Chemistry. Vol. 1: Fundamentals and Analytical Methods, 1998, Wiley-WCH, 664
Weinheim, Germany. 665
666
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Table 1 667
Parameters of the Adsorption Isotherms Calculated using the Langmuir Equation 668
Sorbent Cation 1/(А∞⋅К), 103
1/А∞ R
А∞,
mol⋅kg-1
К
(I) Initial
Cu2+ 8,59±0,74 1,81±0,03 0,99 0,55 210
Fe2+
8,98±0,66 1,87±0,03 0,99 0,53 189
Ni2+
9,89±0,95 1,99±0,04 0,99 0,50 201
(II) Modified sample
containing
hydroxamic groups
Cu2+
3,85±1,54 1,04±0,09 0,98 0,96 270
Fe2+
3,91±0,83 1,09±0,04 0,99 0,92 279
Ni2+ 3,98±1,22 1,12±0,06 0,99 0,89 281
(III) Modified
sample containing
aldehyde-bisulphite
groups
Cu2+ 5,99±1,51 0,59±0,07 0,98 1,69 98
Fe2+ 7,95±1,38 0,66±0,05 0,99 1,52 83
Ni2+ 15,86±2,50 0,68±0,07
0,97 1,47 43
669
670
671
672
673
674
675
676
677
678
679
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Figure captions 680
Fig. 1. Sorption isotherms of Cu2+(1), Fe2+ (2), Ni2+ (3) ions by unmodified 681
cellulose 682
Fig. 2. Sorption isotherms of Cu2+(1), Fe2+ (2), Ni2+ (3) ions by samples of 683
cellulose containing hydroxamic acid groups 684
Fjg. 3. Sorption isotherms of Cu2+(1), Fe2+ (2), Ni2+ (3) ions by samples of 685
cellulose containing aldehyde–bisulphite groups 686
687
688
689
690
691
692
693
694
695
696
697
698
699
700
701
702
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