CHAPI'ER III
COPPER COMPLEXATION CAPACITY
Introduction
Among the various approaches in trace metal speciation studies,
investigations through understanding the complexation reactions of
organic and inorganic lig~nds in the aquatic system constitute an
important area. Recent publications on chemical, speciation studies have
highlighted the importance and need of understanding metal organic
interactions (Mantoura, 1982) or complexation characteristics of natural
waters (Kramer and Duinker 1984).
The scenario of metal-organic interactions in a natural aquatic
system is ·highly complex. On the one side there is competition between
major cations (eg. Ca, Mg, etc.) and others in traces (eg., transition metal
ions) for forming more stable complexes with ligands. On the other side
many potential ligands or chelators compete for one trace element.
The broad area of studies on metal-organic interactions in an aquatic
system, comprises the following : (1) the direct determination of species
belonging to metal-organic complexes like tetrabutyl tin, tetramethyl lead
and methyl or ethyl mercury compounds,(2) functional group
determinations of ligands (like RCOO-, R2NH-, RS-), (3) studies on nature
and complexation of well defined organic compounds, (amino acids,
67
carbohydrates, glycols etc.), experimentally defined groups. of organic
matter, (humics and fulvics) and model compounds (like EDTA, NTA etc.)
and (4) investigation of total complexing capacity of natural waters.
Chau (1973) defined complexing capacity of natural waters as their
ability to take up ionic metals into non-labile complexes as measured ·by
using Anodic Stripping Voltammetry (ASV). This is a measure of the·
concentration of organic ligands capable of binding ionic metal into non
labile complexes.
Heavy metal ions added to a natural aquatic system get complexed or
adsorbed by particulates or dissolved organics before ultimately getting
incorporated into the sediments (Sanchez and Lee 1973). This "buffering"
action or conventionally termed as the complexing capacity of the natural
water body is extremely important to the aquatic biota. Since copper is one
of the most toxic common metal ions present in aquatic bodies and the one
which forms very strong complexes with natural organic ligands;
1 · · · c C 2 + . 11 d (Fl comp exation capacities 10r u Ions are usua y measure orence
1982).
The study of the overall complexation capacity of a natural sample
gives an idea, not only on the types of metal-organic interactions but also on
the influence of organisms in chemical speciation as their excreta and cell
exudates (Extracelluar Metal Binding Organics-EMBO) contribute potential
ligands in the aquatic system.
68
As the species distribution in a natural sample is affected by the total
assemblage of all inorganic and organic ligands, the net binding effect has
been studied through measuring the apparent complexation capacity for
copper, since copper-organic chelates are the strongest complexes formed
when competing inorganic reactions are considered. Analysis of
environmental samples (natural waters) for estimating complexation
capacity, thus involves reactions with several ligands. The stability and
rate constants thus obtained do not then reflect the interaction with a single
ligand but the complex multi-ligand system. The copper complexation
capacity has been considered as a measure of the concentration of organic
ligands (L) capable of binding free metal ions to form non-labile complexes.
In natural systems part of the complexation capacity might be caused by
colloidal material. A variety of complexing agents like fulvic, humic and
tanniG acids, lignin and colloidal particles of Fe2o3, Al20 3 and Mn02 are
normally present in natural waters. Polluted waters will contain additional
natural and synthetic compounds. Generally the concentration of the
ligands is well in excess of the metals present. This excess of concentration
of ligands which is responsible for the complexation capacity of the aquatic
system, is an important water quality parameter as it is an indicator of the
concentration of heavy metals that can be discharged to a waterway before
free metal ions can appear. (Florence and Batley, 1980; Florence 1982,
Plavsic et. al. 1982, Hart, 1981). Several methods are in practice to estimate
the copper complexation capacity and conditional stability constants.
· Bioassays •. ion-exchange on resins or Mn02 , ion-selective electrode
69
potentiometry, Cu-salt solubilization, amperometry, and voltammetry are
the commonly used methods for measuring complexation capacity.
Methods of Estimation
Complexation capacity being a measure of the total ligand
concentration, both inorganic and organic, methods of measurement
should be capable of dealing with the difficult situation presented by the
infinite variety of organic ligands. Inorganic iigands like C03 2-, Cr, P04 a
etc. that can interact with metals are easily measured and their
interactions with the metals are well characterized. However, the situation
is quite different for organic ligands especially because of their relatively
undefined mode of interaction with the metals (Reuter and Perdue, 1977).
In surface waters the major part of organic matter comes from
natural sources like decaying plant and animal bodies, animal excreta etc.
A series of transformations taking place in the aquatic environment,
convert this organic matter into a class of compounds of highly complexing
nature namely humic and fulvic acids. They have been termed as the
natural scavengers of metals in aquatic systems. Also present are the low
molecular weight compounds like tannins (Martin et. al., 1976) and
siderochromes (Murphy et. al., 1976) which also complex with metals. Gel
chromatographic fractionation of natural organics (Gjessing and Lee 1967)
have shown compounds having molecular weights greater than 50,000
(Daltons) also to be associated with metals.
70
With all these complex nature and variety of very similar and
dissimilar compounds, the multi-ligand system represented by a natural
aquatic body is difficult to deal with a single method of complexation
capacity measurement. Various methods have been in use for the past
decade or so. However, each of them suffers from one drawback or the other
and some of them give either too low or quite exaggerated values. This
stalemate can easily be overcome by considering the complex nature of the
ligands, theoretical considerations of their complexation behaviour,
method of measurement; and finally the nature of inherent interferences of
the analytical method or probe. Several methods like DPSV, CSV, MN02-
adsorption, ligand exchange - EDTA, ISE potentiometry, Dialysis, Gel
filtration, Fluorescence quenching titrations are used to estimate
complexation capacity.
Solubilization Method
The method is based on the fact that solubility of copper reaches a
minimum in the pH range 10-11 where the copper concentration is
approximately 2.4 X 10-7M (-l5JlgCull). Any increase of solubility of copper
at this pH range will be due to complexation of the metal by other
constituents of water. The experimental procedure requires the addition of
excess copper in soluble form with the pH of solution adjusted between 9.8
and 10.2 with Na2co3. The solution is heated for 1 hour, and finally filtered
through a 0.45 Jlm filter. The soluble copper is measured by ato~ic
absorption spectrophotometry or any other sensitive technique. Many
researchers have used this method in the past, for tap waters, creek
71
waters, sewage waters, rain waters etc. (Kunkel and Manahan, 1973, Elder
et.al., 1976),
However, serious drawbacks have been pointed out (Campbell, et.al.,
1977) for the copper hydroxide solubilization method. First~y, the alkaline
pH( - 10) required for this method differs greatly from the pH of natural
waters and hence the complexation capacity estimates may not have much
relevance to the aquatic system dealt with. Theoretical calculations
indicated that weak complexing agents like glycine, salicylic acid, citric
acid etc. would get further weakened at higher pHs. Further, the method
has been shown inherently insensitive to many weak ligands of biological
origin. Apart from the above, an appreciable amount of organic ligands
gets adsorbed on to the Cu(OH)2 formed. Similarly the solubility being
operationally defined by filtration through a 0.45 Jlm filter, the estimated
soluble copper includes the peptized portion also, which brings in an
appreciable error. The procedure of boiling the solution at an alkaline pH
also alters seriously the chemical nature of the complexing agents and
species like NH3 gets expelled during the same, which otherwise are
capable of complexing the metal ions.
Instead of solubilization of Cu(OH)2 other salts of copper like copper
phosphate, (Huber, 1980) copper carbonate (Avnimelech and Raveh, 1982)
and copper sulphide (Kerr and Quinn 1980) also had been used. However,
those methods also have many of the above said drawbacks. The copper
complexation capacity estimated with solubilization technique ranged from
72
0.147 mol/1 for a sanitarylandfillleachate (Avnimelech and Raveh 1982) to
500 Jl mol/1 for an oilfield brine (Kunkel and Manahan, 1973)
Biological Methods
Several studies on toxic effects of copper to aquatic organisms like
algae, crustaceans, diatoms etc. showed a direct relation not only with the
concentration of totai metal ions but also with the nature and concentration
of other organic and inorganic constituents. (Sunda and Guillard 1976,
Gillespie and Vaccaro 1978, Lewis et.al. 1971, Sunda et.al. 1978,
Zevenhuizen et.al 1979). These studies suggested that "biologically
available" form is the free metal ions. Toxicity to the organisms get reduced
to the extent the metal ions are complexed in the aquatic system. This fact
has been explored by many researchers to measure complexation capacity
through biological methods.
In these methods, growth or a related metabolic parameter is
measured as a function of added copper ion, and then the fraction of bio
available copper i.e. the· concentration of free metal ions in solution is
calculated. A titration-like curve results from the data points and the end
point can be detected. One of the studies conducted with the purpose of
developing a technique for the biological measurement of copper binding
capacity used the growth depression of the Thalassiosira pseudonana
(Davey et.al. 1973). A similar response of the copper ion specific electrode
and the growth response of T. pseudonana in copper bioassays was also
observed (Erickson 1972). This similarilty suggested that the T. pesudonana
73
copper bioassay can be used as an end point detector for the measurement
of copper binding capacity of sea water. Davey et. al. (1973) examined both
unaltered sea water and sea water spiked with EDTA or Histidine for
complexation capacity measurements. The decreased growth rate of the
diatom when plotted against the copper concentration yielded a sigmoidal
titration curve. The point of 50 per cent growth reduction corresponded to a
specific amount of chelants spiked into the system. In a similar way
unspiked sea water samples were also treated.
However, this has been proposed only as a semi-quantitative method,
for lack of sufficient proof through the related experiments of copper
bioassays ~f sea water with organics and without organics (i.e. after UV
oxidation). It was observed that the UV light treatment did not alter the
bioassay results except in case of sea water with high organic content.
Simultaneously, it was confirmed that no release of Cu, Ph, Cd or Zn had
taken place during the oxidation by UV light. Hence it was suggested that
the natural organics got incompletely oxidized and becam~ toxic. The
attempts to remove organics by charcoal treatment and then conducting
Cu-bioassays also could not bring any definite results as both sea water and
artificial sea water (ASW) showed a reduction in the growth of T.
pseudonana. Thus experiments designed to establish the relation of
organic chelants and copper toxicity were not fully successful. The first
experiment which was conducted to show the effect of presence or absence
of organic chelants on copper toxicity failed as the UV oxidation resulted in
some toxics. In the second experiment, the charcoal column method of
74
refining the organics resulted in reduction in growth of T. pesudonana in
sea water and even in ASW supplemented with vitamin B12. It is possible
that charcoal treatment removed some essential constituents or added up
some undesirable ones for the growth ofT. pseudonana. However, the
studies with ASW spiked and unspiked with chelants suggested that
chelants suppress toxicity and their concentrations get reflected in the Cu
bioassay results and hence this can be used as a semiquantitative method
for estimating complexation capacity (Davey et. al. 197'3).
In another set of experiments the rate of metabolism of c14 glucose
by bacterial cultures was followed as a function of copper concentrations
(Gillespie and Vaccaro 1978). The radio-labelled glucose made the
measurements possible in one hour.
Similarly c14 labelled sodium carbonate was used to follow the rate
of c14 fixation and thereby to assess the effect of free copper ions on
phytoplanktons (Gachter et.al. 1978). Their study revealed two classes of
ligands which complex copper. One group is present in low concentration
(3.7 X 10-8 M) but with high formation constant (log K::: 10.1) and another
class of compounds present at higher concentration (2.6 X 10-6 M) but has a
much lower formation constant (log K = 7.4). The biological methods are
quite sensitive and do not require any modification in the natural
conditions, i.e. in the chemical environment of the system, and therefore
are quite meaningful as the data generated will be directly amenable to
biological interpretation.
75
However, the drawbacks are many. Chief among them is that other
substances, besides the metal of interest can exhibit toxic effect on
organisms. Thus, it is difficult to examine samples of different
compositions. Also nutrient requirements of the organism may limit the
types of samples that can be tested. Finally the analysis times are lengthy
as metabolic rates are being monitored; The higher concentration of algae
or similar micro-organisms affects the concentration of dissolved copper
due to sorption on their cell surfaces. The adsorption of copper on to
phytoplankton and macrophytes has been well documented (Hunt and
Fitzgerald, 1983).
Ion-Exchange Method
The method of determining metal-ligand stability constant by using
cation exchangers was developed more than 40 years ago. (Schubert, 1948).
The cation exchanger acts as a second ligand and metal ions will partition
themselves between the ion exchanger and the complexing ligands,
satisfying the following equations,
MR
K M + xL -------~-- ML
X
[MRJ . Kd = ---------
[M][R]
K = s
[ML] X
----------[M][L]x
where Kd is the distribution constant and Ks, the stability constant of the
, complex.
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From the above equation it is evident that the extent of complexation
then depends on the magnitude of the stability and distribution constants
and on the concentrations of the ligand and resin. The ligand concentratien
can then be comp·uted by measuring the distribution constant in the
presence and absence of ligands, with a fixed resin concentration.
The above method was simplified later. for mononuclear complexes
(Martell and Calvin 1952). The treatment can be summarized by the
following equation.
. Ao log(--- -1) =log K + x log [L]
A . s
A0 and A are the ratios of ion-exchanged to unbound i.e. [MR]/[M] in the
absence and presence of ligand respectively. Ks is the stability constant, x is
the number of moles of ligand reacting per mole of metal and [L] is the
concentration of ligand. By plotting log (A01A - 1) vs log [L], the stability
constant an~ the stoichiometry of the complax can be determined.
However, in the determination of stability constants of the mixture of
ligands, non-integer ratios of ligand-to-metal entities have been frequently
found. The problem has been approached through a theory of polynuclear '
complex formation (Clark and Turner 1969) and a. modified method of
evaluation of stabili-ty constants have been developed (Stevensen and
Ardakani 1972). The applicability of this method in the presence of multiple
ligands, some of which do not follow 1 : 1 complexation has been· verified
(MacCarthy.1977, Crosser and Allen 1977)
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In a modified method (Crosser and Allen 1977) a plot of soluble metal
M vs exchanged metal M enables the calculation of the ligand s r
conce·ntration, ligand number and conditional stability constant. Ligands
which strongly complex transition metals (like EDTA, NTA etc.) can be
accurately dealt with by this method but it fails in c&se of the weak ligands
such as glycine. Also if a mixture of ligands is present, the concentration of
each of them can be determined only if their stability constants are
sufficiently different.
An ion-exchange method in which a weak inorganic ion-exchanger
Mn02 was employed in place of synthetic resins to study the complexing
capacity of ligands in natural waters has been developed (van den Berg and
Kramer 1979). The advantage of this method is that weak exchanger
permits the determination of weaker ligands in solution. Also active
dispersion of Mn02 can be very conveniently effected volumetrically with
greater reproducibility and accuracy and hence permits the use of small
amount of Mn02 compared to ion-exchange resins. This advantage makes
it useful for systems with low concentration of complexants.
However, problems are met with Mn02 also, because of inadequacies
of methods to produce Mn02 with a consistent character, its inability to
exchange metals in a linear fashion at low concentrations of metal
loadings and finally its capacity to adsorb ligands and metals. These cause
appreciable errors in the estimations (Davis and Leckie 1978, Guy et.al.
1975).
78
As evident from the above discussion, this method has a number of
limitations regarding the basic assumptions made for the derivation of the
equation quoted above. The assumptions that th~ system must (i) be at
equilibrium (ii) exhibit no sorption of metal complexes or ligands to the ion
exchange resin (iii) form only mono-nuclear complexes and (iv) have free
ligand and resin concentrations relatively constant during the course of
titration, are never met with in experimental conditions. Still in the past
years the method has been widely used for complexation capacity
measurements.
Voltammetric Methods
A number of voltammetric techniques like Pulse Polarography (PP),
Differential Pulse Polarography (DPP), Anodic Stripping Voltammetry
(ASV)J Differential Pulse Anodic Stripping Voltammetry (DPASV) etc. are
available to measure very small quantities of uncomplexed metal ions in
solution. These methods measure the free form of a metal and not
necessarily its total concentration. The free form of the metal includes the
pure ionic form and weak complexes which are electrochemically labile
I.e., reducible at the electrode surface. Thus, electrochemical
measurements of complexation capacities are operationally constrained by
the deposition potential selected. The polarographic methods measure
labile metal by monitoring the current produced while reducing (or
oxidizing) the uncomplexed metal. An electro-chemical probe like
DME(Dropping Mercury Electrode), HMDE(Hanging Mercury Drop
Electrode) or SMDE(Static Mercury Drop Electrode) along with a standard
79
electrode will measure the current, when a suitable metal ion is titrated
with the sample which contains the complexing materials. A plot of
current vs concentration of metal added in 11 mols will readily give the
complexation capacity by drawing a perpendicular line to concentration
axis from the point of inflection Fig. III-I. At the initial stages of titration
the slope changes slowly and after the end point i.e., when all the ligands
are complexed slope change occurs drastically.
A portion of the ionic copper gets complexed with the organic ligands
into non-labile complexes, resulting in a lower slope than in the calibration
plot. When no free ligands capable of complexing copper are left, then the
slope will be identical to the calibration plot.' Extrapolation of the plot can
give the copper complexation capacity.
The most commonly used electrochemical techniques are ASV and
DPASV and both offer high sensitivity and ease of analysis. The stability
constant has been estimated by two different approaches from electro
chemical measurements. The shift of the redox potential of an
electrochemically labile and reversible complex in presence of an excess of
ligand is the most widely used one.
The relationship
2.303 RT 2.303 RT E1 _ 2 = ----;;F----- log KMLx + x ----;;F ____ log [L] .
80
4.0
ct ~ "'3.0
CD .. -c: CD '-~ 2. ()
.:tt 0 CD a..
Concentration of copper added I AIM
Fig. III-1
ASV peak-height-concentration plot
Source: Kramer C. J. M. (1985)
81
where, E 1_2 is the shift in peak potential, [L] is the excess ligand
concentration and 'x' is the number of ligands required to complex one
mole of the metal, can be used for estimating the stability constant. The
method has been successfully applied for hydroxy and carbonate complexes
(Ernst et. al. 1975, Bilinski et. al. 1976) but can not be applied for humic
acids or other organic ligands because of the electrochemically irreversible
decomposition of the complexes and adsorption of organics on electrode
surface.
The conditional stability constant can be determined from the plot of
ASV peak current generated when a metal titrant is added to the system vs
the concentration of added metal. The detailed theoretical treatment has
been given earlier (Shuman and Woodward, 1973). In this method the ratio
of free to bound metal is plotted against free metal concentration and the
slope of the straight line obtained determines the metal binding capacity of
the system (i.e. 1/CL) and the intercept gives the value for 1/KsCL' where
CL and Ks are complexation capacity and stability constant, respectively.
Several techniques of voltammetry have been used for measuring
apparent complexation capacity. DPASV was one of the most often used
technique, with a choice for a variety of electrodes (Duinker and Kramer,
1977, Srna et.al. 1980, Plavsic et. al., 1982; Kramer and Duinker, 1984,
Kramer, 1985). A comparison of sensitivities of electrode types like Rotating
Mercury Film Electrode (RMFE) (in situ and pre formed), HMDE, and Jet
Stream Mercury Film Electrode (JSMFE) showed that JSMFE is the most
82
sensitive. Speciation of metals and the complexation capacity of natural
fresh waters and sewage effluents have been measured by many authors.
(Matson, 1968, Allen et. al. 1970, Chau and Lum-Shue-Chan, 197 4;
Gardiner and Stiff, 1975).
DPASV titrations performed by Chau et. al. (1974) showed that
complexes having stability constants of the order of at least 1010 were
required to measure the copper complexation capacity accurately. They
examined both natural and synthetic waters (constituted natural waters)
for reaching these conclusions.
ASV titration, one of the widely used methods consists of adding
aliquots of standard Cu(II) solution to the sample and measuring the ASV
peak current. Several additions are made one after the other and ASV peak
currents are measured until the slope of the plot of peak current vs Cu
concentration attains the slope value of the blank titration curve. Assuming
1 : 1 complex formation to take place the complexation capacity (CCcu) and
apparent stability constant Ks can be calculated from the relationship.
However, there are several problems associated with determining
complexing capacity by ASV titration viz., (i) some Cu complexes dissociate
extensively in the diffusion layer, though they are thermodynamically
stable. This brings additional amount of free ions which had originally
83
remained in the complexed form eg., (Cu- NTA complex). The error due to
additional current in the peak current measurement, contributed by the
kinetic lability of the complex, can be corrected to some extent but methods
of corrections are very complex,(ii) the ASV peak current gets depressed by
the organic layer adsorbed on the electrode as it hinders the
electrodeposition step in the ASV analysis. This may mislead one to infer
the formation of some complex though in reality no complex has formed .
(Florence, 1986), (iii) formation of the Cu-organic complex may be slow and
it may take several hours to complete complexation reactions.
The use of linear scan voltammetry at a rapidly Dropping Mercury
Electrode or Streaming Mercury Electrode has been suggested to minimize
the electrode fouling by organics, if samples have sufficiently high
complexing capacity. Interference from adsorbed organics increase in the
order DPP (DME) <linear scan ASV (TMFE) < DPASV (HMDE) (Varney et.
al. 1984). In anodic stripping voltammetry the electrode is exposed to
organic matter for the period of the deposition time, whereas in
polarography it lasts only for the drop time. Also in linear scan
voltammetry the metal ion has to cross the adsorbed organic layer only
once, while· in differential pulse technique the ion has to undergo many
crossings of the adsorbed layer as multiple redox reactions are involved.
But with streaming Mercury Electrode, where the rapid renewal of
electrode takes place, adsorptive processes and metal complexation with
slow dissociation kinetics have little effect on diffusion current. Hence SME
84
has been considered specially useful for complexation capacity titrations.
Another promising technique for the elimination of interference by
adsorption is to cover the thin mercury film electrode with an ultra
filtration or cellulose acetate membrane.Electrodes coated with Nafion,
cellulose acetate. etc. have been found useful for ASV titrations, giving
sharper break in the titration curve, as the coatings are able to minimize
the interference from non-complexing surface active organics (Florence,
1989).
It has always been felt that whatever be the method chosen for
measuring complexation capacity, the measured value should correspond
well with values obtained by bioassay techniques. Only such correlations
will bring forth the ecotoxicological significance of complexation capacity
studies.
With 'all the drawbacks discussed above and many of the
improvements suggested yet to be incorporated, electro-chemical methods
of estimation of complexation capacity have been widely used and plenty of
examples are available in the literature.
Ion Selective Electrode Potentiometry
Basically Ion Selective Electrode (ISE) potentiometry also belongs to
electrochemical method of analysis. But a major difference exists between
the ISE potentioriletry and the other electrochemical method, namely
polarographic analysis. In polarographic analysis the current produced is
85
measured when the labile species is oxidised or reduced, while ion selective
electrodes measure the potential of the system during which no oxidation
or reduction happens. Also as explained earlier, the ·polarographic
analysis is "dynamic" in nature and cannot possibly measure the
"natural" species as the measurement itself disturbs the equilibrium. In
ion selective electrode· potentiometry, the equilibrium conditions are
retained to a greater extent. Also ion selective electrodes measure the
activity of free, hydrated metal ions and no other species. When a Cu ion
selective electrode calibrated with a standard CuSO 4 solution in a non
complexing media like nitrate or perchlorate is used, the electrode will not
respond to simple complexes like CuCl+, Cu(OH)2 + and CuC03. Since
complexation capacity has been defined as the measure of the amount of
heavy metal ions that can be added to an aquatic system before free metal
ions appear, ion-selective electrodes which can sense only free ions will be
one of the best analytical probes suitable for complexation capacity
measurements. However, some reviews (Florence, 1986; Hart 1981;
Neubecker and Allen, 1983) point out that complexation capacity
determined by ion-selective electrodes are much higher in magnitude than
by ASV or DPASV methods, as simple complexes like CUCl+, Cu(OH)2 and
CuC03 also contribute tawards the complexation capacity when measured
by ISE. However, since toxicity due to metals have been shown mainly
related to the concentration of free metal ions, complexation capacity
measured by ion-selective electrodes will have much significance in
ecotoxicological terms. Bioassay studies conducted in conjunction with ISE
measurements are quite in agreement with this argument (Davey, et.al.
86
1973). Comparison of bio-assay results with concentration of ASV labile
metal species are also available in literature but good correlations have
been obtained in few cases only. Hence complexation capacity
measurements estimated by ion-selective electrodes are important in metal
speciation and aquatic toxicity studies.
It must be mentioned, however, that most of the available electrodes
are not sufficiently sensitive for measuring the low concentration of metals
which is generally encountered while titrating majority of the natural
water samples. Hence their use has been limited to waste waters or waters
containing high concentration of humic acids or other complexing agents.
Periodic cleaning of electrodes against poisoning by other metal ions (eg.
Hg2+) or organics can however, retain the electrodes in good condition.
The electrodes are used to measure the fraction of the metal in the
free state (i.e. ionic form). This is done by measuring the potentials during
the course of titration of the sample with the metal ions. In the absence and
presence of ligands, the difference in potential and the fraction of the
complexed metal ion (0 will be related as
f = [M]total X ioCEO - E)/p
2.303RT where p = -------------
nF
There are many studies employing ISE method reported in
literature. For example, Ottawa river in Canada had been studied with a·
87
special interest on the effect of ligand size .on complexation capacity for
several metals, like Hg(II), Pb(II), Cu(II) and Cd(II) using the respective
ion-selective electrodes (Ramamoorthy and Kushner 1975).
Complexation capacities for Cu(II) and .Pb(II) were studied with
pond water and river water using ion-selective electrodes and the data was
fitted into Nernst equation, to estimate the complexation capacity, mean
molecular weight of the ligands, stability of the constituents, stoichiometry
of the complex and pH dependence of the stability constant. (Buffie et.al.
1977).
In another study computer modelling calculations of cupric ion
activities were done using a standard program REDEQL (Morel and
Morgan 1972) for each Cu(II) spikes in a titration. Using ISE,
measurement of cupric ion activity was also done ,in conjunction with the
same. The difference has been attributed to the complexation capacity of
sample (McCrady and Chapman 1979).
Many other authors have also made use of ISE potentiometry for
complexation capacity measurements using Cu, Cd and Pb ISEs (Giesy et.
al. 1978) and some have compared this method with other non-conventional
methods like spectrofluorometry (Saar and Weber 1980b),dialysis etc.
Dialysis
Dialysis technique has also been employed by some authors (Truitt
and Weber 1981). Using this technique complexation capacities estimated
for sea waters have been reported as 0.11 - 1.6 ll mol Cull for south eastern
88
Atlantic Bight (Wood and Evans, 1980) and 0.6 - 0.9 ~ mol Cti/1 for Boston
Harbour (Stolzberg and Rosin, 1977).
Dialysis technique has the advantage of not disturbing natural
equilibrium of metals and ligands. It allows the metal to be analysed by any
convenient method. Also it has the advantage of its ability to be employed for
·in situ measurements of metal ions (Benes and Steinnes 197 4). Though the
method requires longer time for dialysis and larger samples, it is sensitive
to micro molar quantities of complexing agents. The copper and cadmium
complexation capacities of New Hampshire surface waters were. found to
range from 1.1 to 15.1 ~ mol!l and 0 to 9. 7 ~ mol!l respectively by this
method (Truitt and Weber 1981). The estimated complexation capacities
showed good correlation with dissolved organic carbon, pH, hardness,
conductance and UV absorbance.
The dialysis method becomes successful only when the dialysis
membrane is able to exclude completely the complexed metal ions and
uncomplexed ligands from the diffusate solution and the membrane allows
unhindered diffusion of uncomplexed metal ions, to attain equilibrium
between external and internal solutions in terms of free metal ion
concentration. In a situation different from the above, estimated
complexation capacity will deviate very much from the actual value.
Diffusion of complexed metal ions or uncomplexed ligands from the
retentate to the internal solution will lead to an underestimation of
complexation capacity.
89
The condition that the concentration of·uncomplexed metal ions in
retentate and diffusate should be the same, is an essential requirement as
the metal ion concentration of the diffusate is taken as equilibrium "free"
ion concentration for calculations. Secondary experiments conducted to
verify whether the above conditions are fulfilled O!" not, revealed that
around 10 per cent of the complexing capacity had permeated through the
dialysis membrane. The study also indicated that permeation of the
complexed metal to diffusate is much less compared to uncomplexed
ligands. Apart from these, diffusion was found hindered at higher pHs (6
and 7) in case of Cu2+ titration and has been attributed to the soluble
species like Cu2(0H)2 +(Truitt and Weber, 1981).
McCrady and Chapman (1979) have explained the non-unity slopes of
Cu2+ titrations of natural waters due to inorganic complexation. Other
factors which may bring errors in dialysis titration may be the growth of
micro-organisms on the dialysis membrane and the inhomogeneity of
pores in dialysis membrane.
However, the method can be employed for a wide range of metal ions
unlike the Electron Paramagnetic Resonance (EPR) or fluorescence studies
where only para-magnetic metal ions can be considered. Also limitations of
low sensitivity as in the case of ISE measurements and the small range of
selection of metal ions as in voltammetric determinations do not handicap
this method from using for any kind of sample or metal ions (Truitt and
Weber 1981).
90
Fluorescence Quenching Method
Diehert (1910) observed the fluorescence of natural waters, but for
nearly five decades this property had not been exploited for understanding
natural waters chemistry (Smart et. al. 1976). Natural waters contain a
variable ratio of humic and fulvic acids and may affect intensity of
. fluorescence. Christman (1970) showed that fluorescence of many natural
waters are. remarkably. similar, though some difference are possible as
evident by the studies of molecular size separation (Ghass~mi and
Christman, 1968). They observed that high molecular weight components
fluoresce less compared to low molecular weight components~
The literature on fluorescence of natural waters indicates that a
relationship exists between fluorescence and organic matter in water.
Smart et. al. (1976) studied the effect of temperature, pH and natural
pigments like chlorophyll on fluorescence of natural waters. A strong
temperature dependence was observed for all the samples examined, but
the degree of dependence varied. However, a general formula was derived
by which temperature correction terms could be calculated. Two distinct
types of pH dependent-fluorescence also were observed. One type showed
fluorescence maximum at pH 5-6 and other one was sigmoid with little
change in fluorescence between pH 6-8. Hence it can be inferred that
though pH has an effect on fluorescence, between pH 5-8, the variations are
relatively limited.
Transition metals when complexed with fluorescing organic
molecules, bring a tremendous decrease in the fluorescing property. This
91
quenching of fluorescence is brought about by the non-radiative paths of
relaxation facilitated by the co-ordinate bonded transition metal ions like
Cu2+, Co2+, Ni2+ etc. (Seitz 1981). This method has been used to estimate
the stability constants of Cu- humic and Cu-fulvic acid complexes by Sarr
and Weber (1980a, b). The same experiments were monitored by copper-ion
selective electrode method also and very similar titration results were
obtained. The method has been found quite sensitive to very low humic and
fulvic acid concentrations. In their study attention was also given to the
extra cellular metal binding organic matter (EMBO) released by the
organisms due to the stress from the excess uncomplexed metal or the
deficient micro-nutrients.
Ryan and Weber (1982a), extended this method for estimating copper
complexation capacity of natural waters. This method has various
advantages over other methods of estimation. While almost all the other
methods· estimate the concentration of bound metal ions by indirect
methods, fluorescence quenching method enables one to estimate the
concentration of bound metal ions directly. The indirect methods account
for the bound metal ion concentration as the difference between the total
and estimated free metal ion concentrations and are prone to several
errors. When the organic ligand is in excess, the free metal ion
concentration will be extremely low and will be difficult to measure
correctly as lower detection limits are reached under such circumstances.
When metal ion is in excess, an error gets introduced as the small
difference of two large numbers are involved in calculations.
92
Fluorescence quenching measurement however, gtves a direct
measurement of the unbound ligand. The complexation with paramagnetic
ion quenches the fluorescence, as it enhances the relaxation processes
through non-radiative processes. The correlation between concentrations
and fluorescense intensities is given by
[ML]
= (1)
where [ML] is the equilibrium concentration of metal ligand complex, CL is
the total ligand concentration or complexation capacity, I, is the
fluorescence intensity at any point in the titration and IL and IML are
fluorescence intensities of free and bound ligand respectively. But this
equation applied to a simple system (Ryan and Weber 1982b) will not be
applicable to natural system comprising of a complex mixture of ligands.
Hence a stability function or product s1 is defined for 1 : 1 binding (Ryan
and Weber 1982a)
N i!i [M][(Li)]
s1 = ------------------ C2) N
[M] i~1 [Li]
where N is the number of ligand species present in the mixture and [Li],
[M(Li)] are the equilibrium concentration of the ith ligand and its metal
complex respectively and [M] is the free metal ion concentration.
93
Therefore
N l: [M(L.)J
i=l 1
------------ = ----------------- ( 3)
where
N N N CL = i~l [Li] + i:l [M(Li)] = i~l [Li] + [M(Li)] (4)
.N IL = l: IL.
i=l 1
N 1ML = i;1
1M(Li)
N I = 1L + 1ML = i~1 (ILi + 1M(Li)
Combining equation (2) and (4) we get
- 4S12cL CM)l/2] + 100
(5)
This is identical with the equation for conditional stability constant
Ki derived for fluorescent quenching titration of fluorescing ligands
forming 1 : 1 metal-ligand complexes (Rayn and Weber 1982a) with the
exception of s1 in place of K1. The experiments were conducted for variety
of water samples. 50 to 25 ml of aliquots were subjected to deareation by
purging with moist N2 and the pH adjusted with 0.01 M KOH or HN03. The
samples were sent to the cuvette and back to titration cell for several
minutes. The fluorescence intensities were measured at an emission
94
wavelength of 430. nm and excitation wavelength of 350 nm. Approximately
15 min elapsed between successive additions of the titrant while adequate
stirring was maintained with magnetic beads. Rayleigh Scattering was
also measured keeping the excitation and emission at 400 nm to indicate an
end point to the titration, as the scattering becomes very large when
precipitates are formed. The fluorescence data are discarded once the
scattering value is double the initial value.
The titration data has been subjected to non-linear regression by a
program NONREG, (which is a part of the statistical programmes
developed by University of North Carolina, Chapel Hill, USA) and Ks or s1
and IML calculated. The values calculated revealed various problems
which cannot be explained by the chemistry of the water sample. The
negative correlation of K and CL rather points out to an artifact of the data s .
treatment which is a major limitation of this method. Also, it may not be
true that all the complexing agents will fluoresce or all those fluoresce are
of complexing nature. Hence the method though looks quite simple has
inherent draw backs when applied to natural systems.
However the advantage is that the titrations performed with
fluorescence as the means of detection directly study the effect of metal ion
binding on ligands, instead of relying on a measurement of difference
between free and total metal ions.
Chelex Method
Strong cation exchange resins, like Chelex - 100 also have been used
to estimate the strong complexing agents. (Stolzberg and Rosin 1977). The
95
chelex resin strips off metal ions from the weak complexes and excess
metal ions in the sample and allows the strong complexes to pass. Thereby
it provides a method to estimate the strong ligands. Since Chelex-100 is, a
very strong cation exchanger, weak complexing agents are not included in·
the estimation. Besides this, the equlibration time taken for the resin and
the sample has a profound influence over the amount of metal exchanged
with the resin (Figura and McDuffie 1980).
Mackey and Higgins (1988) measured copper complexation capacity
of sea water by extending the method of Stolzberg and Rosin (1977). The
CCcu values were determined by spiking the sea water with GuSO 4 to a '
final concentra~ion of 8000 nM, leaving the samples for a period of 3-6
months, filtering. and removing the excess cupric ions by passing through
chelex-100, destroying the organic matter by UV photo-oxidation and
analyzing the resultant solution of copper.
Copper-organic chelates are the strongest complexes formed when
competing inorganic reactions are considered and therefore copper can
displace most of the other metals from the ligands of interest. However, the
procedure will not be able to measure ligands present as inert complexes,
as they wil~ not associate with the copper spikes;
Furthermore, when the contact time of the sample with the resin
was varied through manipulations of the length of the column or flow rate,
the copper concentration in the column effiuent varied in the case of
artificial sea water (ASW) samples containing NT A but remained more or
96
less constant in the case of EDTA. However, in case of one set of natural
samples the recovery of spiked EDT A was found to be only 55 per cent in the
effiuent and was attributed to the irreversible adsorption of EDTA to
particulates as the samples were neither filtered or centrifuged. Another
set of samples pre-concentrated six times with rotary vacuum evaporator,
also showed similar results. Naturally occurring ligands may be weaker
than EDTA or NTA. The strong influence of flow rate and column length
on the effectiveness of the complexed copper uptake by resin indicated a
thermodynamic and kinetic control operating over the uptake of complexed
metal by chelex- 100.
The number of ligand sites available becomes an important factor in
deciding the immobilization of the ligand on resin as chelex-M-L. Larger
bidentate ligands are less likely to form such mixed complexes while
unidentate or bidentate ligands may get immobilized. Hence the method . measures an operational complexation capacity, which is dependent only
on the complete detection of polydentate ligands forming complexes with
the spiked metal ions and having stability con~Stants of certain critical
values. The critical value is being decided by the stability constant of the
metal-resin complex, pH of the sample, column length, flow rate etc. To
tackle these problems modification using shorter columns, high flow rates
etc were tried out. However, leakage of uncomplexed metal, metal sorbed
on to organic and inorganic colloidal particles etc. have been identified to
introduce 'errors in the estimation. Also ligands which are slow to
exchange their metal for the spiked Cu2+ ions will not be detected unless
sufficient time is given for equilibration.
97
Cu-Catechol Complexing
Catechol-Cathodic Stripping Voltammetry is one of the recent
developments in voltammetric method applied to complexation capacity
measurements. van den Berg (1984), used this method to measure the
complexation capacity of estuarine waters. Very recently the method with
some modifications has been applied to fresh waters (Jones and Hart, 1989).
van den Berg (1984) has described ligand exchange- cathodic
stripping voltammetry to tackle the problem of dissociation of Cu-complexes
in the diffusion layer. The method is based oil the competition between the
na:tural ligands and catechol for Cu(II) ions and the subsequent cathodic
stripping of the adsorbed Cu-catechol complex. However, because of the
high stability of the Cu - catechol complex, the method would measure only
those ligands which form relatively stable complexes with Cu (Florence,
1986).
The Catechol - CSV method (van den Berg, 1984) is based on the
competition between natural ligands in a water sample and the added
ligand catechol, for the cupric ions introduced. The copper-catechol
complex formed is selectively adsorbed as a thin film on a hanging
mercury drop electrode (HMDE), the concentration of which is determined
then by CSV (Cathodic Stripping Voltametery). The free copper
concentrations are then obtained through calculations involving stability
constants of copper-catechol complex. Further calculations lead to the total
ligand concentration and conditional stability constant.
98
When cupric ions are added to a sample containing catechol (Cat),
acetate buffer and competing natural ligands, the distribution of cupric
ions can be represented as
Cut = [Cu'] + [Cu Cat] + [Cu L]
where Cut = total copper concentration
Also,
[Cu'] = concentration of copper ions and copper acetate species
[CuCat] = concentration of copper-catechol complex
[CuL] = concentration of copper complexes of natural ligands
Cu2+ + L ------ CuL and
* [CuL] K = ----------- further
[Cu] [L]
represents the complexation reactions of natural ligands.
The above equation for conditional stability constant can be written as
[Cu] 1 Cu --------- = ----------- + -------- (Ruzic 1982) [CuL] K*[Lt] [Lt]
This equation can be written in the form (van den Berg, 1984)
where
S = the slope of 1 versus [Cu] at higher [Cu] ' p .
lp = measured peak stripping current
a'= aCu + aCu Cat·
Assuming that 1 : 1 CuL complexes are only formed a plot of
lp/(S[Cut]- lp) vs lp/S will give linear curve with a slope equal to 1/[Lt] anc!
* y-intercept equal to a '/K [Lt]. By calculating a' for the catechol
* concentrat~on used Lt and K can be estimated.
When applied to fresh waters the modification made was mainly in
selecting an optimum catechol concentration, a catechol concentration
corresponding to half the peak current i.e. lp (m/2) obtained for untreated,
filtered water rather than that obtained for UV irradiated water. However,
a method has not been evolved yet to select an optimum concentration of
catechol that is universally acceptable and this has been indicated as a
significant limitation of this method as of now.
Data on complexation capacities and conditional stability constants
estimated by ASV and CSV greatly differ (Jones 1987, Hart and Jones 1984).
It is suggested that the complexing ligands determined by catechol - CSV
method could be a sub set of those found out by ASV method (Jones and
Hart 1989) and is analogous to the two ligand model suggested earlier (Hart
and Jones 1984).
While in ASV method kinetic contribution to stripping current due to
the dissociation of the metal organic complex is a major problem, CSV
method does not suffer from this, since cathodic stripping relies on the
adsorptive accumulation of the copper-catechol complex followed by the
Faradaic reduction of the cupric ions. However, CSV method is not free
100
from the interferences due to the adsorption of organics on mercury drop as
in ASV method (van den Berg 1984). The complexing capacity detected by
ASV is due to a group of ligands which forms non-ASV labile copper
complexes for either thermodynamic or kinetic reasons, while CSV method
estimates those copper complexes which remain undissociated when
catechol is added. The dissociation of complex in presence of catechol will
depend upon factors such as catechol concentration, ligand concentr~tion
and stability constant of the respective complexes. Hence it is not clear
whether the ligands detected by CSV method are a sub-set of ASV-detected
ligands or they are a separate group of ligands (Jones and Hart, 1989).
Each method seems to speciate the ligands or binding sites. Hence
different methods under simil?r conditions or almost similar conditions,
give a _speciation of complexation capacity. One can draw valuable
informations from these differences rather than looking at the differences
as drawbacks of a particular method in comparison to the another. For
example, the ASV method has been shown to measure a different "s~t" of
copper binding ligands than the ISE method (Hart and Jones 1984).
If these observations are considered from a: different angle it seems
that each method of estimation of complexation capacity speciates the
complexing·ligands or the binding sites into different binding strengths by
virtue of the methodology involved. Hence instead of looking at the
complexation capacity parameter as the total complexing capacity of the
system, it must be speciated into a group of complexing capacities by the
101
various methods available. The drawbacks identified with each method will
then minimise and the complexation capacity will be resolved into different
sets of complexing abilities, defined by each method.
Treatment ofTitration Data
Most of the methods for measuring complexation capacity and
conditional stability constants involve titration cf ligands present in the
water sample with a metal ion. The titration curves give a variety of
information on the aquatic samples by the different types of data treatments
that can be adopted. The following paragraphs describes in detail the
various methods and theories involved.
WhiJe using methods like DPASV, ISE etc. two different ways of
estimations are possible - they are the direct titration and equilibration
methods.
In the direct titration method the voltammetric measurement is
made immediately after spiking and continued for several subsequent
spikes. Advantages of this method for complexation capacity
measurements are that the time required for the analysis is very short and
the volume of sample required could be as small as 5 cm3 . However, slow
complexation reactions are not included in this method of estimation.
In equilibration method the spiked sub-samples with different
amount of ionic metals are allowed to equilibrate for hours or days. After a
102
sufficient equilibration period the voltammetric measurements are made.
Since sufficient time is given to attain the equilibrium, the complexation
capacity estimations are more representative of the natural conditions.
Ruzic (1984) suggested four methods of treatment of data to calculate
copper complexation capacity (CCcu) and apparent stablity constants (K8
)
Kramer (1985) used Scatchard and van den Berg methods of linearisation.
In the present study also Scatchard and van den Berg methods are made
use of.
In van den Berg plot the ratio of the free to bound metal concentration
is plotted against free metal concentration (i.e. M_FMB vs MF) Fig. III-2a,
while in Scatchard plot, the ratio of bound to free metal concentration is
plotted against bound metal concentration (i.e. MB/MF vs MB) Fig. III-2b.
Kramer(1985) observed distortion of the Scatchard plots for estimating
CCcu and Ks by direct titration method and attributed this to kinetic
effects. The distortion did not allow reliable CCcu and Ks calculations to be
made. These observations agreed with the theoretical predictions by Ruzic
(1984).
The various theoretical aspects of the chemical equilibrium related to
the complexation reactions resulting during the titration have been
examined in detail and suitable data treatment methods have been
proposed (Ruzic 1982)~ The theories and procedure proposed in literature
for interpreting the direct titration curves, to estimate the metal binding
capacity of natural waters suffer from various limitations.
103
-"0
S3D 0
,.0 ..... cu Cl .:: 2.0 -.~ -0 0:
-cu Q) 2.0 .... -..... , c: :::1 0 .0 -0 1.0 -0 Ct:
0 50 100 150 . Free metal cone . .
Fig.III-2a van den Berg Plot
0 20 40 Bound metal cone.
Fig. III-2b Scatchard Plot
Source : Kramer C. J. M. (19R5)
104
A simple model which assumes 1 : 1 complexation of the metal and
the unknown ligand can be represented as follows
eM 2 [ M ] = CL - [L]
and
K = (eM - [M])[M][L] = eeL - [L])!(M][L]
where eM, eL are the total concentration of trace metal and unknown
ligand L, [M] and [L] are free metal and free ligand concentration and K,
the stability constant of the complex Mv
In case of direct titration with additional amount of detectable metal
speciesllm, the equilibrium constant K can be expressed as
K
and hence
[ML]
= [M] [L]
eM+ run- [MJ == ----------------------
.1m =
[M] [L]
eL ----------------- - eM + [M] 1 + (1/K[M])
The equation represents the titration curve where .1m is the.
additional amount of detectable form of trace metal. Several authors
proposed many methods of interpretation of the resulting titration curve,
mainly by extrapolation of experimental results from the region of large
values of added titran1j.1m (Shuman and Woodward, 1977).
105
In such a case the equation
.1m = -eM+ [MJ ... 0)
1 + (1/K(M])
becomes nearly equal to eL - eM + [M] Since K[M]
. becomes very large.
Further, .1m
[M)->0
Hence, with known values of CM before the titration, information on
total concentration of unknown ligand can be obtained from the intercept on
.1m axis.
Shuman and Woodward (1977) noted that with small amounts of
titrant the lower range of titration curve can be used to estimate apparent
stability constant K' of the complex (ML) if the K'eL value does not exceed
1000. Under this condition value of [M] will be very small and hence the
equation, (1)
becomes
K[M] =
== -----------
106
where MT is the total concentration of metal originally present plus added
(i.e. eM + .1m). The plot of
MT VS [M]
enables one to estimate the stability constant of complex formed, from the
slope of the curve. If the concentration of metal (eM) prior to the titration is
negligibly small, the amount of titrant added ·will be a good measure of the
trace metal concentration.
and
.1m K[M] =
eL- .1m
The approximations made in reaching these equations are however not
ideal and also, successive approximation bring significant errors. Initially
the equation was derived with the approximation that when .1m is very
large, K[M] is very high and the reduced form
.1m = eL - CM + [M] is reached.
The above equation is approximated
to .1m- eL- eM when [M] -->0
This ~s further subjected to another approximation of eM being very
negligible prior to the titration and hence .1m- eL. It has been pointed out
that even the first approximation can lead to significant error in the
estimation of metal binding capacity of the system if KeL values are less
than 500 (Ruzic, 1982).
107
However, a better way of estimating the binding capacity and stability
constant emerges out of the earlier equations, with a slight rearrangement.
We know
I.e.
CL Llrrl == ------------------- - c1Vl ~ [1VIJ
1 ~ ( 1/K[1Vl])
[1VI]
([1Vl] ~ 1/K) = -----------------
Thus by plotting :M/(1VlT- 1Vl) (Ratio of free to bound metal) vs free metal [1VI],
a straight line is obtained. From the slope and intercept the stability
constant and complexation capacity are calculated. This method enables us
to avoid the approximations used in earlier cases. Also, it is applicable to
the whole titration curve and not to a part of it as was the case before
(Shuman and Woodward, 1977). It is also possible to have a qualitative idea
on metal-binding capacity and stability of complex by a mere look at the
titration curve. The metal-binding capacity will be high if the slope of the
curve is small and stability of the complex will be high if the intercept on
the ordinate is small. However; this 1 : 1 complex formation model may not
be able to distinguish the Langmuir type of adsorption which can also
operate under the experimental conditions as colloiual particles of size less
than 0.45 J..l.m will be present in the samples even after the filtration
HlA
(Stumm and Morgan, 198]). A very similar equation can be obtained for
Langmuir adsorption on colloidal particles also.
Besides these, non-linearity is observed frequently for titration curves
of natural water samples. It can be due to the formation of complexes other
than 1 : 1, formation of more than a single 1 ': 1 complex of different
stabilities (either due to different ligands or different functional groups on
the same ligand), adsorption different from Langmuir type or formation of
a single 1 : 1 complex together with Langmuir adsorption.
A system containing several ligands which can form a series of 1 : 1
complexes differing sufficiently in their stabilities can be understood
clearly from the nature of the titration curve. Cases where the stability
constants of complexes are relatively similar and ligands can be divided
into two different groups, using the 1 : 1 model, the situation can be treated
as below
CM- [M] = CLl- [L1] + CL2- [L2]
A direct titration of the system with an additional amount of titrant
.b.m results in an equation given as below :
[M]
where
109
The above equation reduces to
* [MJICM:f- M) = ([M] + l/Kl )/(eLl+ eL2) M --> oo
where eLl + CL2 is total binding capacity and K1 * is the overall stability
constant. However, at the lower values of the added titrant (i.e. at initial
stages of the titration) the plot of the ratios of free to bound metal vs free
metal concentration deviates from a straight line. This non-linearity can be
further examined through plotting the inverse of ·the difference of
extrapolated values and actual ordinates against the free metal
concentration. And this results in two slopes and two intercepts, enabling
one to estimate the two different stability constants K1 and~ related to the
ligands Ll and L2 and their respective concentration e 11 and e 12.
A very similar picture emerges in a situation where a single
complex is formed and simultaneous Langmuir adsorption is taking place
on colloidal particles. In that case, the earlier equation has to be modified
only by replacing CL2 and K2 for the maximum surface concentration of
metal adsorbable on available surface of the colloidal particles per unit
volume of the system (A'tMN) and B, the adsorption equilibrium constant.
Another instance in which the direct titration curve can deviate from
linearity will be when more than one metal takes part in complexation,
even when it is 1 : 1 type (Ruzic 1982). For copper complexation capacity
determinations, titration of copper ions with natural waters which are
11 0
significantly polluted with various trace metals will show non-linearity for
the plots of ratio of free to bound against free metal concentration. However,
the non-linearly will be different from the case of one trace metal and two
ligands model. This can be understood by examining the respective ·,
equations of the direct titration curves for two ligands and one meta,
[M]
=
One ligand and two metals
MT1- [M1]
= [M1] + 1/K1 + CM2·Kz'K1 (1 + ~(~1- [M1])/K1[Ml])}CL
The non-linearity observed in the case of two metals forming two
complexes with one ligand, can be analysed in a somewhat easier way than
in the case of one metal forming two complexes with two ligands.
Mathematically speaking this is due to the less· number of unknowns and
the relatively simple expression in the former case.
There are many other instances, when non-linearity of the direct
titration curve is observed. A case is of one metal forming two complexes
with two ligands, when one of the two ligands is in excess concentration.
However, the non-linearty becomes measurable only when the difference in
the concentration of the two ligands is comparable to the difference in their
111
stability constant i.e. CLl K1 - CL2K2. In other cases one of the complexes
formed in favour of the other determines the form of the titration curve.
Similarly when one of the metal is in excess and complex formation is
studied for two metals and one ligand J the titration curve will show non
linearity. Further, when one of the metals forms a very strong complex,
titration with the metal forming the weaker complex, masks part of the
binding capacity of the system.
Apart from all the above cases where only 1 : 1 complexes have been
considered, there are cases where the complexes of type MaLb are found.
The non-lin~arity of titration curves in such cases can be readily
differentiated from the non-linearity resulting from several 1 : 1 complexes.
This is clear from the equation representing the direct titration curve of
such a case.
[M] ------------- == [M]/(CM + ~m- [M])
The non-Langmuir adsorption if operating, the non-linearity
resulting will be easily distinguishable from the non-linearity due to the
formation of several 1 : 1 complexes, but it is difficult to differentiate it from
cases where complexes other than 1 : 1 type is formed. And further no non
langmuir adsorption can be considered to fit in a simple straight line curve.
11 2
In short, direct titration of natural waters can provide valuable and
precise information through the plots of the ratio of free to bound against
free metal concentration as long as the system behaves analogous to a
model of 1 : 1 complex formation. But if such diagrams are not linear and
non-linearity is observed at the initial stages of titration suitable models of 1
: 1 complexes with several ligands or more than a single 1 : 1 complex with
one ligand or simultaneous operation of adsorptions of Langmuir or non
Langmuir type etc. should be considered. Though such models increase the
complexities for interpretation of results, they are very useful to get a better
idea of the state of affairs. It further points out the need of understanding
the individualligand.s within the system and their combined effect.
To sum up, the non-linearity of the direct titration curve can result
from the following situations.
1. There are number of ligands in the system which forms several 1 : 1 ., .
complexes, or the same ligand forms complexes of different stabilities due
to different centres of binding.
2. The complex formed between one ligand and one metal could be other
than a 1 : 1 type complex.
3. More than one metal forms complexes with one type of ligand.
4. Langmuir type of adsorption of metal ions on colloidal matter along
with the adsorption of the complex formed.
5. Non-Langmuir type adsorption of metal ions on collodial matter.
11 3
Keeping these facts in mind a suitable model can be selected for the
data analysis and interpretation of the system of interest.
Methodolog))Results and Discussion
In the present study, the copper complexation capacity of the river
Yamuna (CCcu) has been estimated by ion selective electrode
potentiometry. The "direct titration" procedure has been adopted for the
estimations.
Immediately after the collection of samples, they were filtered
through 0.45 )lm membrane filters (Whatman) and preserved for speciation
studies as per the accepted procedures (Florence and Batley 1980). 50 ml of
the samples were pi petted out into metal free beakers and to each, 1· ml of
ISA (Ion Str.ength Adjustor) (Orion Cat.No.94-000~ 5M NaN03) was added.
The pH of the samples were brought to 7.0 as at pH 7.5 and above
precipitation of Cu(OH)2 can occur during titration (Orion Research Inc.,
1979) and also as pH 7.0 is a value very near to the average value of pH of the
samples. pH was monitored by a gel electrode (Ingold USA) attached to a
Control Dynamics pH meter. The pH was maintained stable to ±0.01 units
by adding 0.01 N NaOH or 0.01 HCl drops during titration as stable pH has
been identified as an essential requirement for the measurement of
potentials by ISE. All measurements were made at a temperature of 28°C (±
0.1).
The cupnc 1on selective electrode (Orion - model 94-29) was kept
immersed in 10-3 M EDTA for several minutes to facilitate the cleaning of
11 4
the membrane sensing surface and thereby decreasing the time to reach
equilibrium (McCrady and Chapman, 1979) i.e., to attain a stable potential
reading. Cross contamination between samples was prevented by keeping
the other two electrodes also (pH electrode and Orion single junction
reference electrode) in 10·3 M EDTA, to remove any adsorbed copper. The
electrodes were then washed with deionized distille9 water and introduced
into the sample in a beaker, which was kept stirred at a constant rate by a
Teflon coated magnetic bead. Cupric ion solution cio·4 M) prepared from
standard cupric solution (Orion cat. no.-942906) was added to it (100 JJ.l or
200 JJ.D and electrode potentials were noted when readings became stable
after each addition. For initial additions to reach equilibrium 30-45 minutes
were taken .. For subsequent additions the reading became stable within 10-
15 minutes. Care was taken to keep the intensity of light reaching the
experimental set up constant as cupric ion selective electrode sensing .
membrane (CuS/Ag2S) Is light sensitive.
Apparent complexation capacity and conditional stability constants
of copper organic chelates were then calculated by van den Berg (van den
Berg and Kramer, 1979) and Scatchard methods (Scatchard et.al. 1957)
using the computer programme COMCAPl and COMCAP2 respectively
(See Appendix - III). These programmes were written in Fortran 77 and
run on VAX 11/780 (Digital Equipment Corporation, USA) computer with a
VMS operating system. Complexation capacity values of the river at the six
sampling sites are presented in Tables III-1 to III-6.
115
TABLE 111-1
RAM GHAT
-----------------------------------------------------------------------------------------------------------ABS ABS ABS COMPLEX STAB+ COMPLEX STAB +LOGK COR (254) (464) (665) CAP(VB) CON(VB) CAP(SD) CON(SD)(VB) COE -----------------------------------------------------~---~-~---------~-----------·-------------------------
·0.030 0.005 0.004 8.016 17.196 6.933 26.288 6.235 0.987 0.033 0.007 0.005 9.108 19.571 7.573 31.925 6,292 0.981 0.031 0.006 0.004 8.523 16.845 7.128 27.475 6.226 0.984 0.035 0.008 0.006 9.557 22.830 7.916 37.211 6.359 0.979 0.032 0.004 0.003 8.654 12.884 7.780 16.473 6.110 0.990 0.016 0.004 0.003 2.484 21.264 3.109 8.985 6.328 0.979 0.017 0.004 0.003 2.793 18.295 3.184 11.133 6.262 0.985 0.024 0.003 0.002 5.109 11.451 4.905 13.003 6.059 0.997 0.027 0.004 0.003 5.588 14.939 5.107 20.910 6.174 0.995 0.029 0.004 0.003 7.192 13.829 6.124 22.357 6.141 0.989 0.029 0.004 0.003 7.264 11.078 6.636 13.895 6.044 0.993 0.028 0.004 0.003 8.022 11.773 7.239 145.051 6.071 0.991
-----------------------------------------------------------------------------------------------------------
TABLEffi-2
NAJAFGARH DRAIN
-----------------------------------------------------------------------------------------------------------ABS ABS ABS COMPLEX STAB+ COMPLEX STAB +LOGK COR (254) (464) (665) CAP(VB) CON(VB) CAP(SD) CON(SD) (VB) COE -----------------------------------------------------------------------------------------------------------0.053 0.019 0.016 8.800 10.873 7.962 13.538 6.036 0.990 0.055 0.015 0.013 9.047 8.498 8.241 10.292 5.929 0.987 0.057 0.023 0.019 9.496 12.187 8.548 15.237 6.086 0.989 0.059 0.023 0.021 9.950 13.419 8.932 16.809 6.128 0.988 0.048 0.024 0.017 9.602 12.442 8.638 15.564 6.095 0.989 0.036 0.011 0.009 6.798 7.676 6.366 8.955 5.885 0.993 0.035 0.019 0.017 7.011 15.158 6.168 22.735 6.181 0.991 0.035 0.017 0.014 7.028 11.843 6.430 14.916 6.073 0.995 0.035 0.016 0.014 7.136 11.914 6.517 15.047 6.076 0.995 0.037 0.018 0.015 7.648 12.400 6.933 15.827 6.093 0.994 0.043 0.026 0.021 8.871 14.833 7.939 19.205 6.171 0.990 0.052 0.030 0.024 8.277 18.084 7.133 27.726 6.257 0.986
-----------------------------------------------------------------------------------------------------------
11 6
TABLEill•3
OLD YAMUNA BRIDGE
-----------------------------------------------------------------------------------------------------------ABS ABS ABS COMPLEX STAB+ COMPLEX STAB +LOGK COR (254) (464) (665) CAP(VB) CON(VB) CAP(SD) CON(SD) (VB) COE
-----------------------------------------------------------------------------------------------------------0.043 0.008 0.007 10.669 3.746 10.432 3.888 5.574 0.988 0.063 0.008 0.007 11.755 3.446 12;621 3.126 5.537 0.979 0.050 0.012 0.010 13.943 4.865 13.543 5.084 5.687 0.986 0.071 0.010 0.009 14.320 3.788 15.570 3.401 5.578 0.960 0.075 0.016 0.013 15.102 5.901 14.630 6.186 5.771 0.986 0.015 0.004' 0.003 3.332 5.110 4.537 2.848 5.708 0.965 0.029 0.005 0.003 4.284 4.183 5.399 2.794 5.622 0.969 0.024 0.006 0.005 5.492 6.636 5.307 7.229 5.822 0.995 0.038 0.007 0.006 5.711 7.373 5.628 7.692 5.868 0.994 0.037 0.005 0.004 7.750 3.503 7.683 3.566 5.544 0.990 0.038 0.010 0.009 8.091 7.489 7.632 8.465 5.874 0.993 0.045 0.019 0.016 10.531 11.100 9.528 13.484 6.045 0.986
TABLEID-4
YAMUNA BARRAGE
-----------------------------------------------------------------------------------------------------------ABS ABS ABS COMPLEX STAB COMPLEX STAB LOGK COR (254) (46,4) (665) CAP(VB) CON(VB) CAP(SD) CON(SD) (VB) COE
-----------------------------------------------------------------------------------------------------------0.072 0.009 0.008 10.678 3.949 11.743 3.454 5.597 0.974 0.071 0.009 0.008 14.291 3.455 16.180 2.942 5.538 0.954 0.083 0.015 0.013 17.628 4.696 19.553 4.122 5.672 0.955 0.075 0.019 0.017 19.384 6.130 21.330 5.442 5.787 0.955 0.051 0.011 0.010 15.315 3.719 17.214 3.202 5.570 0.955 0.034 0.005 0.004 6.886 2.830 9.106 1.898 5.452 0.933 0.039 0.006 0.005 7.802 3.765 8.963 3.053 5.576 0.971 0.042 0.006 0.005 8.566 3.753 9.696 3.125 5.574 0.972 0.042 0.005 0.004 8.600 2.679 10.787 1.962 5.428 0.935 0.046 0.007 0.006 9.301 3.784 10.405 3.215 5.578 0.973 0.047 0.007 0.005 9.673 2.655 11.856 2.019 5.424 0.935 0.051 0.006 0.005 10.244 2.660 12.428 2.055 5.425 0.936
117
TABLEID-5
NIZAMUDDEEN BRIDGE
-----------------------------------------------------------------------------------------------------------ABS ABS ABS COMPLEX STAB COMPLEX STAB LOGK COR (254) (464) (665) CAPCVB) CON(VB) CAP(SD) CONCSD) (VB) COE -----------------------------------------------------------------------------------------------------------0.037 0.005 0.004 7.800 3.736 8.900 3.053 5.572 0.978 0.042 0.007 0.006 8.060 5.401 8.197 5.258 5.732 0.995 0.042 0.021 0.017 8.041 19.644 6.605 36.544 6.293 0.984 0.044 0.007 0.005 8.720 3.724 9.788 3.134 5.571 . 0.979 0.058 0.018 0.011 11.956 4.184 12.951 3.742 5.622 0.982 0.026 0.006 0.004 5.500 5.742 5.875 5.054 5.759 0.993 0.029 0.005 0.003 5.965 5.559 6.291 5.035 5.745 0.994 0.043 0.014 0.012 6.702 16.326 5.631 30.031 6.213 0.990 0.035 0.004 0.003 7.085 3.797 8.215 3.011 5.579 0.977 0.056 0.015 0.014 7.468 17.713 6.186 32.879 6.248 0.987 0.047 0.006 0.005 7.355 5.357 7.549 5.125 5.729 0.995 0.037 0.010 0.008 7.790 18.681 6.421 34.731 6.271 0.986 -----------------------------------------------------------------------------------------------------------
TABLEID-6
OKHLA
ABS ABS ABS COMPLEX STAB COMPLEX STAB LOGK COR (254) (464) (665) CAP(VB) CON(VB) CAP(SD) CON(SD) (VB) COE
-----------------------------------------------------------------------------------------------------------0.053 0.047 0.040 10.397 46.153 8.778 71.273 6.664 0.977 0.060 0.021 0.018 12.409 17.917 11.329 21.112 6.253 0.984 0.060 0.022 0.018 12.418 18.796 11.372 22.021 6.274 0.985 0.061 0.019 0.015 12.755 18.542 11.666 21.745 6.268 0.983 0.061 0.028 0.019 12.741 18.416 11.653 21.597 6.265 0.983 0.048 0.019 0.017 8.841 20.792 7.568 32.015 6.318 0.984 0.046 0.013 0.010 8.583 19.393 7.369 29.810 6.288 0.985 0.044 0.022 0.019 9.430 25.527 8.024 39.397 6.407 0.981 0.050 0.023 0.017 9.910 32.352 8.397 49.965 6.510 0.979 0.051 0.036 0.030 10.029 34.813 8.490 53.769 6.542 0.979 0.052 0.029 0.018 10.214 39.612 8.635 61.180 6.598 0.978 0.050 0.033 0.030 10.039 35.048 8.498 54.132 6.545 0.979
--------------------------------------------------------------------------·-----------·-------·------------ABS (254), ABS (465) & ABS (665) =ABSORBANCE MEASURED AT THE RESPECTIVE WAVE LENGTHS (NM)
COMPLEX CAP (VB) & COMPLEX CAP (SD) = COMPLEXATION CAPACITY CALCULATED BY VAN DEN BERG PLOTS (VB) AND SCATCHARD PLOTS (SD) (IN MICROMOLES)
STAB CON(VB) AND STAB CON (SD) = STABLIITY CONSTANTS BY (VB) & (SD) METHODS (x1E+5)
11 8
The van den Berg plots and Scatchard plots of the experimental data
for all the six sites over a period of 12 months arc shown in Figs. III-3 - III-
14. The monthly variation of complexation capacities of each of the six sites
over a period of one year has been shown in Fig.III-15 and III-16. The
plotting has been done with the help of PLOTXY progl'amme (Geevan, 1990)
written in FORTRAN-GKS and run on Micro Vax computer.
The dissolved organic carbon of the water samples was ascertained
by measuring the absorbance at 254 nm. The method has been found highly
successful to monitor dissolved organics in natural waters if turbidity do
not exceed certain limits (Dobbs et. al. 1972) and hence was adopted.
Also the humic and fulvic acid fractions were ascertained by
absorbance measurements at 465 nm and 665 nm as absorbances at 465 run
and 665 nm are dependent on the concentration of humic substances (Chen
et. al. 1977). Absorbances were measured using a UV-VIS
spectrophotometer (Bausch and Lomb, Spectronic 1001).
Using the LOTUS 1-2-3, correlations were ascertained for
complexation capacity and absorbance at 254 nm Fig. III-17. Also
correlations of stability constants vs ratios of absorbances
(ABSA.4651ABSA.254), and (ABSA.665!ABSA.254) were examined Figs. III-18
and III-19.
Copper complexation capacity values estimated showed a minimum
of 2.484 ~ mol/1 and maximum of 19.384 ~ mol/1 by Vanden Berg method of
11 9
OJ50 ~
c::: :::> = -= ---
U3B
c.> c.> "-
: 1
O.ltH/ !tree metal cone) 0.2~H5
-= c::: :::> = -= ---c.> cu L
:2
0.92l Otl !tree metal cone) O.!!E-05
0.3~2
-= c: ::.:> = -= ---cu cu c._
:5
O.ttHI !free metal cone) 0.2tH5
3.~50
-= c:: :::> = -= ---cu C1> <-
:6 -------71 . I
0.019 0.059 0.312 0.7ff-OB (free metal cone) O.t~E-05 0.22£-07 (free metal cone) 0.21-05 O.!ff-07 (free metal cone) 0.70£-05
2.915 :7
----'------x
O.lXi O.BIH? (free metal cone) 0.6BE-05
. 10 o.~~- F_. ------
= . c:: :::> = -= ---
0.0~3
c.> «>.> <-
O.I7H7 (free metal cone) OJOH5
0.552 ~ = :::> = -= ---
0.0~
cu C1> c_
: 11
0.31£-07 (free metal cone) 0.3!-115
Fig. III-3
van den Berg Plots
RAM GHAT
120
0.872 ~ c:: :::> = -= ---- .. «>.> «>.> c_ -
0.072
:9 --------
0.29H7 (free metal cone) 0.4!-115
o.m -= c:: :::> = -=
----Q.l
0.070
«>.> c...
0.2ff-117 (free metal cone) 0.27H5
1.372 "'0 c:: => = ..<::1 -QJ QJ
J::
: 1 O.H9 "'0 c:: :::J = ..<::1 - -QJ QJ
J::
0.291
0.067 0.088 0.055 O.l£~7 !free metal concl 0.2!H5 UH7 (free metal cone) 0.2iH5 0.21H7 !free 111etal concl 0.2!H5
0.2U :4 0.200 :5
0.769 :6
0.~7 0.053 Ufi O.UHl !free metal cone! 0.11£~5 0.20H7 !free metal cone! 0.20£~ O.HH7 (free 111etal cone) HOE~
0.520 "'0 c:: => = = --QJ cu c... ......
0.051 0.21H7 !free metal concl 0.31f~5
: 10
0.072 0.2iH7 !free metal cone) 0.2H5
0.~ :9
0.082 0.31£-07 !free metal cone) Hf-o5 0.30H7 !free metal cone) 0.3!-115
1.312
HH7 (free metal cone) 0.21H5 HH7 (free metal cone) O.?.d-65
Fig. III-4
van den Berg Plots
NAJAFGARH DRAIN
121
: 1 o.526 r --- -------------:a
c:: :::::1 C> ..0 -Q.> Q.>
!::
0.226 0.74H7 !free metal cone! 0.31r-05
:4
0.71H7 !free metal cone! 0.2-lf-115
2.1~ -;:::; = ::::> C> ..0 -Q.> Q.)
"--0. 728
:7
0.11Eil6 (free metal concl 0.6!£-05
0.898 "0 c:: ::::> C> ..0 -Q.> Q.)
!::
0.311
: 10 ~-----·-----
O.!OE--116 !free metal cone] Hf--115
0.514 :2
0.91fil7 !free metal cone] 0.31fil5
0.2n8 '0 c:: ~ = ..0 --
0.101
..., cu "-
:5
0.37H7 (free metal cone] O.lff--115
·a 1.171= f:_ _________ /1 § I
_g ! --- i
Q.) '
~ i
0.2U- _j 0.70Eil7 (free metal cone] Uf--115
Hill '0 c:: :::::1 = ..0 -C1.l Q.)
!::
0.122
: 11
~_.__.____._~j 0.44Eil7 (free metal cone] 0.31-05
Fig. III-5
van den Berg Plots
OLD YAMUNA BRIDGE
122
0.47H7 (free metal cone] 0.20Eil5
2.~ '0 c:: ::::> = ..0 -..., cu "--
0.~
:6
0.21fil6 !free 11etal cone] H,'H5
:9 1.079 ----- ------·--:71
I '0 c:: :::> = ..0 -Q.)
Q.> "--
I
D.6~il7 (free metal cone] U!H5
. 12 0.249= r=-----------7 = . ::::> . = '
..0 '
~ ! CU I
"- I i
D.057 J D.2ail7 !free metal cone] O.Hi--115
O.!flft : 1 0.397 :2 0.220
0.2~ 0.226 0.~
:3 ------·---?1 I I
0.7f-1l7 !free metal cone) 0.3!~5 O.l!H7 (free metal cone) 0.2fH5 0.50H7 (free metal cone) O.IIH5
D.HB :4 -~----------
0.091 0.3fH7 (free metal cone) 0.12£-llS
•7
·-~lr~·-71 !;~ !
O.lift- I
0.11H6 (free metal cone) O.HHS
0.719
I I I
0 ~no __.__.......____.........___,J, ___ ..__..._ ___ ,___j
,JU
0.91H7 (free metal cone) 0.3BH5
O.ll'i :5 ..---:----=-----
0.195 O.fi9H7 (free meta 1 cone) 0.21~
. 8 ' u~r~--~
~~ I c._ I ..!!:=. :
0.332 0.99£-07 (free 111ctal cone) UlHS
6.872 : 11 --·-·----r<
0.443 0.14H6 (free metal cone) UH5
Fig.III-6
·van den Berg Plots
YAMUNA BARRAGE
123
1.371
0.616
o .ant
0,415
:6 --71 i
i I
.__._....-..,~..__._~~........J
0.17H6 (free metal eoncl UI~
HH6 !free metal cone) o.~6H5
: 12 -~/~
0.1I-1l6 (free metal cone) UOHS
Uff-QB !free metal cone) 0.6BE-o6
0.106 :4 -···· ----··/-!
,/' 0.~
O.llH7 !free metal concl O.BJF-06
0.272
\
0.031 u_._~~ .. _.__._ •• _...__._j
O.!I-o7 lfree metal concl o.~f-05
0.113 -:a
c::: ~ = = -~.
: 10
~ i .. ~:::: i
0.01~ .........._~~,__j,-~~--~-J
0.6:£-QB !free meta 1 cone) 0.93E-06
:2
O.t2f-G7 (f~ee metal cone) O.!l4t-o6
0.106 :5
0.02.9 O.llH? !free !!letal cone! O.Bi-G6
D.173 :8
--- .. -----~
/ I
I
0.021 -~-- •--'----'--~~J
0.91£-oB !free metal cone) O.!I-D5
. 11 o.o96 r-· ------------~
If/ l ~ tl. ! c... ' ~' i
U\2 If - · ·· · · _j
0.54HB [free metal cone) O.BOE-o6
Fig.III-7
van den Berg Plots
NIZAMUDDEEN BRIDGE
124
:3 0.110 -~
/
i 0.030 ..__._~~~......_~. ~ _j
H£-o7 (free llletal cone) 0.9!H6
0.211 :6 - -- ------·----- -
0.02.8 _.....,_.__.__,~--· J O.t!f-ol !free metal cone) D. !If .fl5
:9 0.12~ -------~
g ,/ I = -~ / ~ (
0.016 -~c-~~ ~ .. _. _ _j
0.6HB !free metal cone) O.IOHS
0.112 -:a c::: ~ ·= = -Q.> ..., c... -
D. 014
: 12
0.6?£-08 (free metal cone) 0.9Lf-o6
/l I
uoo -;:; c :::r C>
.&::I -cu cu "---
:2 0.306 '0 c :::r C>
.&::I -cu cu
£
:3
7l / !
! U06 0.226 0.02!
HH6 (free metal cone] 0.45H5 0.74£..07 (free metal cone] 0.37E-05 0.84HB (free metal cone] 0.2lH5
0.812 -;:; c :::r C>
.&::I -cu cu "---
:4
'0 c:; :::r C)
.&::I -cu cu "---
:5 1.299
o c:; :::r C>
.&::I -cu cu !::
:6
71 i i
I '
Uil 0.222 0.339 0.10H6 [free metal cone] 0.41H5 0.72H7 (free metal cone] 0.2&:-os O.!OE-06 (free metal cone) 0.5!H5
~~lr 0.315- IL-t ~· ~o.-J-..o..__.___,~
O.!I£H7 (free metal cone] OA!IH5
U.l3 -;:;
c:; :::r C>
.&::I -cu Q..l "---
0.026
: 10
O.!OH7 (free metal cone) 0.2ff-05
0.532 -;:; c:; :::r C)
..C> -0.032
cu Q..l "--
:8
/i I
HH7 (free metal cone] UH5
0 11 0.82~ r--' --
=I· Jt = r Q.l ' "- ~
..::!::.~
0.~
o.B1H7 (free metal cone] o.41f·-o5
Fig.III-8
van den Berg Plots
OKIUA
125 .
1.115
D.«B
O.:Ml
0.023
:9
UH6 (free metal cone] Ulf~5
:172 ' .
.
' ' l I
__.____~~ ....... _~_ ......... _ ~..-J
UH9 (free metal cone] HHS
/
15.~ : 1 ·---~
Ci! cu ~ -~ -= c::
::::::0 0 .e -~~ 2.5
O.lfi-07 (Bound metal cone) 0.24E-Q5
:4
l
0.7&:-oa !Bound ret a l concl HlE-o5
:7 3.1!17 ·-······ --- -·---, c;; I
11>
-~ ., I
~·~ OJ40
O.B!E-07 (Bound metal cone) 0.6&:115
. ~ 0 ?2.00~ r ~ .... ~:. ------- --·- -:
... . .i: . ·- . :
~f~i m r i
2.012 L~-~--~-1
O.i!f-o? laounc :ne~al cone! OJOf-05
:2 42.102 ---·---~
Ci! cu c:.. ~
I ....... _ = c:: ::::::0 = £9
U.~
O.!la:-o8 (Bound metal cone) 0.17E-o5
16.1!12
2.916 O.M-87 !Bound metal cone) 0.2I-o5
·s 7.666 ~--· - . -- --- .. !
Ci) : cu ' c... ' • .....__ I j
] f\ i o.896 L~
o.~rt-o! !Sound metal cone) UIE-o5
·H H.842 -~ ~ - · -- ---- ---,
LB!~l~=~ 0.3![-G/ !Bound :netal cone) UH5
Fig.III-9
Scatchard Plots
RAM GHAT
12 6
33.7J :3 ------~
cu ' cu I c:..
I -......_ = c:: I ::::::0 0
!9. I !
lBi O.!!H7 !Bound metal cone) 0.2\HS
3.197 :6 ---
c.~
0.9!H7 !Bound metal cone) O.IOE-o5
.. 9 13.~ ~ _:__. -- -----· .. ·- -- - -;
f ~~ i
1 r<..____ . 1.U5- L.~-~~_j
0.2!H7 (aound retal cone) HH5
tUt7 : 12 --------- ---··---; '
0.2fdi !Bound metal cone) 0.2!t-o5
1Ut5 '"iii" ... "---"CC c::: = ~
2.1il
: 1 -------------, I I
0.25H7 !Bound meta 1 cone) U!f-05
al.!Hi '"iii" ... "---"CC c::: :::J m
:LJ
11.!i6 :2 --------,
2.112 · Uf-D7 !Bound metal cone) 0.27Ei15
18.627 Ci> c:u .f= -"CC c::: ::::!:1 = m
:5
18.031 :3
3.61 0.21f-07 !Bound metal cone) 0.21H5
U02 :6
u~ J. 5li9 t. JJO
O.llf-D7 IBounc metal cone) O.!BE-o5 0.20H7 IBounc metal cone) 0.20H5 o.~lE-07 IBounc metal cone) o.~Of-o5
19.2~ :7 -------,
0.21E-o7 !Bouno 11eta I cone) 0.31H5
13.~
'"iii" ... "---"CC c::: = = .IE.
2.131
: 10
. 0.27E-o7 !Bound metal cone) 0.&-os
H.IJ.i2 cu c:u "---= c: ::::!:1
.!!§
:B
0.31H7 (Bound metal cone) 0.3I-o5
: 11
~.~ ------l =
3.12 as ...._._~~~-~~ o .19f-D7 (Bound meta 1 cone) 0.21H5
Fig.III-10
Scatchard· Plots
NAJAFGARH DRAIN
127
12.1~ :9
1.7!1
! \ I I
UJH7 !Bound metal cone) 0.3I-o5
: 12 '"iii"
c:u .~ -"CC
c:: = ~
3.197
O.ii-97 !Bound metal cone) 0.2d~
3.748 Cii' IU c... --= r:::::
"' m
7.533 -cu IU c... --'CI
§ m
1.181 1.943 3.!il
:3
I I
Uif-06 !9ounc nee a! toncl 0.60£-95 0.31H6 !Bound eetal concl 0.60£--t!i -0.1H6 !Bound 1etal tone) D. /If f5
5.ZJ 9.01 Cii' IU c... --= .::: :::1 .e
1.179 Cii'
a.> c... --'CI .:::
~ 2.&1 U83 I.B
O.lf-06 (9ound tetal cone) 0.6H - 0.3ff-o6 !Bound metal concl 0.7i-t5 D.2llf-oti (Bound .etal tone) Hlf f.i
un Cii' IU c.__ --= .:::
j
:.8 5.2lill
U7G Ui3 · 8.9
:9 -·---· ---
0.2!-ll6 !Bouna metal cone) D.2f-o5 O.Dt-06 (Bound metal cone) Uf-05 0.3f-o6 !BorJnd metal cone) Hlf-115
Hili : 10 ·----....... , !
8.1~ : 11 -------- -----l 17.311
Cii' ... c.. ---'CI .::: :::1
&
1.112 Li!l U12 0.30E-06 (Bound metal cone) OAE-95 O.li-o6 !Bound ~etal cone) o.~ UE-86 (Bound aetal cone) O.i'I~
Fig.III-11
Scatchard Plots
OLD YAMUNA BRIDGE
17R
)
0.3~-Gfi l3ouno netal cone) o.~~
:~
O.Jif~ l9o.;no 11e~al cone! 0./J~
2.711 'iii" ....
~~ 5 1-m:.·
: 7 ------------, I
L"' t..,__ .._. ~--->--l-~~--"
0.&~ !Bou~d metal cone) OATc-GS
. 10 3.32J_ K=------- . ------- -l
-~r \v~ , ~L ~~ ~ . I
1. Bl -~ J._~____.__._
· O.l!d6 IBouno metal. cone) 0.5! -o5
Cii' .... .£::: -= -c: ::I
d_il
2.515
--l Uf-«6 !Bound metal cone) D.6!H5
: 5
OJI~ IBouno metal cone) D.61H5
. 8 . 1087 .... f_. --------- ·--l !:f~:
. -g /. . \J' g 1- ; .ea ·- i
I. l.ZU I ' . I '
O.Jnf-«6 !Bound metal cone) 0.50H5
. 11
1.~ Lv:;';~ -~ :.!fJ~ . ~-~~--'-'-~-...._\1
0.2fd6 laouno metal cone) Ui-05
Fig.III-12
Sea tchard Plots
YAMUNA BARRAGE
129
7.5D -----~
'
O.!Hii !Bound lftetal cone) 0./i-GS
o.a-fli !Bound metal cone) U8E-f5
·g
1.1!~ r~--~
a.~~L ._\ o.~ !Bound metal cone! v~-os
: 12
1.247
-~~ 0.27£-«li !Bound metal cone) 0.50.----t5
2.461 : 1 - ----- ------- --, :2 ----------------,
I !
~.281 :3 ----- ----- ---l
I
!
1.833 --- 1.42/ 3.22 0.21-"-DO (9ouno 'l!eral cone! D.4ff115 o.n--o6 !Bound metal cone) D.5:H5 G.H !Bound aetal cone) Uot-t5
2.m --a:>
I1J
"-...... _ ~
§ &
1.230
0.2~H6 {Bound ~eta1 cone) O.SOF-05
"'iU cu "---=c;-r= :::J e
G.IE7
: 7 -----------, I
I
I !
l O.JIE-66 !Bound metal cone! UH5
. 10 1I.2!P · r . __ :-_ · - - --- ----- ·1
~ PI ;
-~ [t_\ I :.3 ~ .03 . i
2.542 -~--~·____.___.___ '
O.lf.-06 (Bound :ne~al cone) 0.63:--DS
0.3I--G6 (Bound meta 1 cone! D.6I~
:8 ll.!I06 ··--------- ---l -cu·
I I
Q.) I
c. \
~ -\ ~:-~
!.876 O.JH6 !Bound metal cone) 0.5H5
. 1 ~
mJ' r< . ··.l ·:gl~----,~ :_, j
~ :
1.213 .• -~~ -~~ ~ '
U!-06 !Bound metal cone I D.5f fi
Fig.III-13
Scatchard Plots
NIZAMUDDEEN BRIDGE
130
2.9i :6 ------, "'iU
~L-~ = c: ~ .
a.7'iJ~ ~----UHii !Bound metal cone) OAH
2.2ll :9 ---- ----·-··-· ·- ----
D.lE--66 !Bound me~al cone! O.IJ 05
. 12 42.41i r ----
a:;- 11
r: ~\ 1.91i1L~ ~
UI~ !Dound ~etal cone) 0.&&.:--as
!i.!5f . I • ! 31.652
:2 ------~
12.8 8.654 0.1f.gfi (3ounc ne~al concl D.a.te-o5 O.!Hi !Bound 111etal cone) 0.81HI5
3t211 Cii
.~ ..::0 r=
j
9.a
:4 --------l I
UH (Bouno metal cone) 0.112E-o5
'7 ~·; r-·---------_ -, "' ~ "\ I l.il6lL~I
Uf-o!i (3cund ne~al CD1cl O.?~H5
. 10 ~~ r-~---!: _____ --- ----~
cu · I ~ \ I
~ -~ : j: ~ i
8.~ l-~-·-~~ Uf{l6 (douno metal cone! O.ac:~
:5 33.~ -------l-~ \ - I
l~j 9.348
U.H6 (Bound metal cone) UH5
·a ~.mcu r------------ ---l
cu : L r . ~- ... I -:a ~- i ~ L . -:-::» 0 .
m 1-
5.710 L --~----- --'~ D.1f-o6 (3oJno tetal cone) 0.7?H5
II.~
Cii .... ... ~ -------~ r::' -:;;o
~
1Ui1
:11 .-----~
I .
Uf~ !Bound metal cone) Ul-o5
Fig.III-14
&atchard Plots
OKHLA
1 31
:3
UHi lBound aetal concl O.&I-o5
l!.m :6 --------, I
Uf-Dli (Bound aetal cone) O.li-o5
fil.'lll Cii cu .f= ;;;
J 1 .•
:9 -- ·-· ---------l ! !
Uf-1 (Bound metal cone) D.Bh: fj
67.~ : 12
Ull UHI (Bound metal cone) UH5
115.0
a c. u ... .!
o.o
,.. ..., ... u • I u g ... ..., • tC
~
I
[ t
COPPER COMPLEXATION CAPACITY (VB8)
Fig 111-15
! I . L .. _ J
12 Manth•
132
2!1.0
-1"4 ...... a : ... I a & ... .! ,.. .., ... ~ I u g ... .., I ... !
0.0
COPPER COMPLEXATION CAPACITY(SCO)
Fig 111-16
t2 MDnthe
133
calculatiol).s. Corresponding values by Scatchard method were 3.109 and
21.330 J.1 mol/1. The complexation capacity of unfiltered samples of river
Yamuna reported earlier were much higher (Banerjee and Jagadeesh,
1990). The unfiltered samples contained large amounts of suspended
particulates and colloidal clay and organic matter, which might have
adsorbed a major portion of the cupric ions added during titration and
hence showed higher values. In the present study the filtered samples were
used for titration in order to make the comparable and multiple
determination.
The values of copper complexation capacity varied from site to site
and month to month. However, a general trend was seen in the monthly
variation of copper complexation capacity at all sites Fig. III-15 and III-16.
High values of copper complexation capacity were observed during the
summer months reaching a peak in June for most of the cases and
decreasing thereafter. A sharp drop in the CCcu values at all sites
immediately after June can be attributed to the flushing because of rains
and consequent dilution Fig. III-15 and III-16 of dissolved organics.
As mentioned earlier, both van den Berg and Scatchard methods
were used to calculate the apparent copper complexation capacity values
and stability constants of Cu-organic chelates. Kramer (1985) r~ported all
the CCcu values calculated by Scatchard method were higher than those by
van den Berg method. In present study also most of the estimations agreed
with the above observation.
134
The' various reasons for non-linearity of direct titration curves have
been explained elsewhere. In the present study the non-linearities of
titration curires were minimum for sample of Ramghat site (site with
minimum human interference) while other sites showed appreciable
deviations from linearity. It is quite possible that sewage and industrial
effiuents that reach the river after Ramgaht contributed many colloidal
materials of organic and inorganic origin, which adsorb the metal ions.
Also many ligands of anthropurgic origin which might form complexes
other than 1 : 1 types also compete for the metal ions, and can bring in non
linearities.
A larger scatter has been noted for the Scatchard plots compared to
the van den Berg plots for the same set of data obviously due to some
mathematical artifacts. The slope of the Scatchand plot is mainly
dependent on a few high (MT - MF)/MF values representing the small
additions of copper ions and is less reliable while opposite is true when van
den Berg plots are used. (Kramer, 1985).
However, the larger scatter in Scatchard plots magnifies the slight
deviation in non-linearity to a greater extent and hence enables one to
decide about the number of different ligands or binding sites from the
nature of the plots qualitatively and to some extent quantitatively. The
conventional F-test and Runs test (Sunda and Hanson, 1979) have been
found to produce unreliable results for the different types of ligand sites or
ligands, when the scatter in the plots have been influenced by factors like
135
. non-Langmuir adsorption, and complexations other 1 : 1 types operate.
Also since the synthetic ligands like anionic surfactants involved in Cu(II)
complexation by sewage sludge or sewage sludge fulvic acids do not behave
as isolated independent ligands, but instead participate as co-ligands with
other a-containing functional groups or as moities incorporated into fulvic
acid structure (Senesi and Sposito, 1987) the possibilities for non-linearities
in the plots are more probable. In such cases electrode response gives few
freak values at the initial stages of titration and influences largely the
conventional test results. Scatchard plots help to avoid such freak values to
appear in the calculations. Hence the present study recommends the van
den Berg method of estimation for apparent complexation capacity and
stability constant, and Scatchand plot method for estimating the minimum
number of ligand types or binding sites as well as subsequent estimation of
their concentration.
Correlations of complexation capacities and· stability constants with
parameters related to dissolved organics showed highly significant results.
The earlier studies have revealed that complexation capacities increase
sharply with the increase of absorbance at 254 nm for sites with minimum
human interference in comparison with the sites of tremendous human
. interference. The correlation coefficients were also high in the former
cases (Banerjee and Jagadeesh 1989). The present study with filtered
samples confirmed the earlier results and even yielded higher correlation
coefficients. In a similar study (van den Berg and Karmmer 1979) the data
scatter observed in the correlation plot of CCcu and organic absorbance
136
suggested that only part of the absorption is caused by complexing
materials and the rest is caused by other organic matter. The study of Sma
et. al. (1980) suggested that it is not always possible to assume that the
quantity of carbon present in water is indicative of the quantity of
complexing organic compounds contained in the sample. The ratio of
complexing capacity to dissolved organic matter showed tremendous
variation from site to site, indicating the variation' in the composition of the
organic matter (Srna et. al. 1980). The present study however, showed a
good correlation of organic absorbance and complexation capacity and
further indicated higher slope and significant correlation at sites with
minimum interference. This could be possibly due to some portion of
complexation capacity at down stream sites being controlled by some strong
synthetic ligands present in sewage or industrial effiuents, which are also
non-absorbing at 1..254 nm. The stability constant when plotted against the
ratio of absorbance at 1..465, 1..254 and 1..665, 1..254 nm showed significant
correlations and higher slopes at upstream sites only, suggesting that the
stability constants mainly depend on the natural ligands like humic and
fulvic fractions at upstream sites. At down stream site the influence of
natural ligands is less. The log stability constants ranged from 5.424 to
6.664 and are well in agreement with the values reported earlier (van den
Berg and Kramer 1979, Shuman and Woodward 1977, Banerjee and
Jagadeesh 1990). The Scatchard plot suggested that a minimum of two
ligand types or binding sites are operating during the complexation of Cu2+
with the river water studied. Studies on Newport river and Neuse River
(Sunda and Hanson 1979) revealed three types of ligands or binding sites.
137
COMPLEXATION CAPACITY VS ABSORBANCE (A 254)
30~----------------------~------------------.
-~~ ::J 0
~22 ...J 0
~I -
z 0
~ 6 X w ...J Q. ~ 0 0 0.01 0.03 0.05 0.07 0.09
ABSORBANCE (A 25'4)
Fig.III-17
138
STABILITY CONSTANT VS ABSORBANCE ·RATI0(~465/A254)
50
-· 1{)0
X -t-z <( t-(/) z
20 0 u >-t-_J
m 10 <( t-(/)
0.1 0.3 0.5 0.7 0.9
RAT I 0(465/254)
Fig.III-18
139
STABILITY CONSTANT VS ABSORBANCE RATIO( ,\665/ A254)
so·
6
- 40 /5 lf)
0 X ·-1-z 30 <{.
1-(/) z 0 (.)
20 >-1-_J -co <[ 1- 10 (/)
0.1 0.3 0.5 0.7 0.9
. RATIO (665/254)
Fig.III-19
140
Bresnahan et. al. (1978) observed a doubling of binding sites of fresh water
fulvic acids available to cupric ions, when the pH changed from 4. 7 to 6.0.
Wilson and Weber (1977) recognized two types of functional group sites
equal in number for fresh water fulvic acids. In the present study a
minimum of two binding sites for upstream samples and the possibilities of
three or more binding sites or ligand types in certain samples were
indicated in the Scatchand plots. This however, needs further investigation
in the light of discussions earlier on factors responsible for such scatter.
From the present study, the following inferences (a) in general and (b) in -.
particular regarding the river Yamuna can be drawn :
(a) 1. The van den Berg methods gives reasonably linearised plots.
The apparent complexation capacity values and conditional stability
constant values estimated from this method are reliable.
2. The enlarged scatter in the Scatchard plots help to judge the
minimum number of ligands or binding sites from the shape of the
curve and can be used as a preliminary tool for further
investigations. Hence the Scatchard plots also should be studied
simultaneously with the former, for this purposa.
3. The ratios, Abs 465/Abs 254 and Abs 665/Abs 284 are in good
correlation with stability constants at a site where the human
interference is minimum i.e. sewage sludge and industrial effluents
are minimum or absent. Sites at which natural ligands are the
predominant group, better correlations are obtained. Hence checking
the correlation of stability constant with the above said ratios, can
reveal the presence of synthetic ligands, and hence might be
considered towards a new pollution index, for natural waters.
4. The filtration through 0.45 Jlm membrane filter can remove an
appreciable amount of organics and hence the complexation capacity
may get underestimated. But the filtration is also essential to remove
the suspended particulates materials as it can interfere in the
complexation capacity estimation and absorbance measurements.
Solutions to the above problems may be sought by measuring the
optical absorbance of dissolved organic matter using the thermal
lense effect (Power and Langford 1988) and then estimating the
complexation capacity of the samples before and after the complete
photooxidation of organics through the recent method of Martin
Goldberg and Shuman (1989).
(b) 1. The apparent copper complexation capacity of river Yamuna
varied from 2.484 Jl mol Cull to 19.384 Jl mol Cull, which is well
within the range of values reported, by similar method for many
other natural water bodies. River Yamuna being a 'regulated
stream' by the few barrages over her, water level keeps fluctuating.
Also, effluents from the many non-point sources reaching Yamuna
change the concentration of ligands responsible for complexation,
from time to time. These factors obviously lead to the variation of
142
copper complexation capacities of the nver at different sites.
However, the complexation capacities rea·ched the peak values at all
sites at the same period, namely in the month of June.
2. The log stability constants of Cu-organic chelates in river
Yamuna varied from 5.424 to 6.664. The values reported for natural
waters ranged from 5.0 to 11.0 (Shuman and Woodward 1977;
Neubecker and Allen 1983).
143