<?xml version="1.0" encoding="UTF-8"?><!DOCTYPE article  PUBLIC "-//NLM//DTD Journal Publishing DTD v3.0 20080202//EN" "http://dtd.nlm.nih.gov/publishing/3.0/journalpublishing3.dtd"><article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" dtd-version="3.0" xml:lang="en" article-type="research article"><front><journal-meta><journal-id journal-id-type="publisher-id">AJAC</journal-id><journal-title-group><journal-title>American Journal of Analytical Chemistry</journal-title></journal-title-group><issn pub-type="epub">2156-8251</issn><publisher><publisher-name>Scientific Research Publishing</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.4236/ajac.2014.517123</article-id><article-id pub-id-type="publisher-id">AJAC-52078</article-id><article-categories><subj-group subj-group-type="heading"><subject>Articles</subject></subj-group><subj-group subj-group-type="Discipline-v2"><subject>Chemistry&amp;Materials Science</subject></subj-group></article-categories><title-group><article-title>
 
 
  The Analysis of the Quenching Efficiency of Humic Acid Fluorescence by Cadmium and Copper Ions
 
</article-title></title-group><contrib-group><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>ikolay</surname><given-names>L. Lavrik</given-names></name><xref ref-type="aff" rid="aff1"><sup>1</sup></xref><xref ref-type="corresp" rid="cor1"><sup>*</sup></xref></contrib><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Nurullo</surname><given-names>U. Mulloev</given-names></name><xref ref-type="aff" rid="aff1"><sup>1</sup></xref></contrib></contrib-group><aff id="aff1"><addr-line>Siberian Branch of the Russian Academy of Sciences, Voevodsky Institute of Chemical Kinetics and Combustion, Novosibirsk, Russia</addr-line></aff><author-notes><corresp id="cor1">* E-mail:<email>lavrik@ns.kinetics.nsc.ru(ILL)</email>;</corresp></author-notes><pub-date pub-type="epub"><day>04</day><month>12</month><year>2014</year></pub-date><volume>05</volume><issue>17</issue><fpage>1167</fpage><lpage>1173</lpage><history><date date-type="received"><day>17</day>	<month>September</month>	<year>2014</year></date><date date-type="rev-recd"><day>2</day>	<month>November</month>	<year>2014</year>	</date><date date-type="accepted"><day>18</day>	<month>November</month>	<year>2014</year></date></history><permissions><copyright-statement>&#169; Copyright  2014 by authors and Scientific Research Publishing Inc. </copyright-statement><copyright-year>2014</copyright-year><license><license-p>This work is licensed under the Creative Commons Attribution International License (CC BY). http://creativecommons.org/licenses/by/4.0/</license-p></license></permissions><abstract><p>
 
 
  In conditions of monochromatic excitation (
  λ
  <sub>exc</sub>=337.1), the spectral dependence of the efficiency of fluorescence quenching 
  α
  <sub>λ</sub> of humic acids samples by Cd
  <sup>2+</sup> and Cu
  <sup>2+</sup> ions was studied. The difference of 
  α
  <sub>λ</sub> dependencies for these ions was established. In the spectral range 350 - 650 nm, changes of the 
  α
  <sub>λ</sub> for Cd
  <sup>2+</sup> ion are markedly different from the magnitude for changes 
  α
  <sub>λ</sub>, which occur for ion Cu
  <sup>2+</sup>. The interpretation of mismatch dependences obtained 
  α
  <sub>λ</sub> ions Cd
  <sup>2+</sup> and Cu
  <sup>2+</sup> is carried out within the concept of the availability of different sites, due to the difference in ionic radii (0.108 nm and 0.08 nm for Cd
  <sup>2+</sup> and Cu
  <sup>2+</sup>, respectively).
 
</p></abstract><kwd-group><kwd>Structure of Humic Acids</kwd><kwd> Spectral Dependence of Fluorescence Quenching</kwd><kwd> Cd&lt;sup&gt;2+&lt;/sup&gt; and Cu&lt;sup&gt;2+&lt;/sup&gt; Ions</kwd></kwd-group></article-meta></front><body><sec id="s1"><title>1. Introduction</title><p>Humic acids (HAs), regardless of their origin, are high nitrogen-containing organic acid molecules that contain aromatic groups. The analysis of the results obtained by a number of direct and indirect methods is allowed to create an overall model of the structure of macromolecules of HA: its core comprises aromatic carbon skeleton and the periphery contains polysaccharide-polypeptide chains [<xref ref-type="bibr" rid="scirp.52078-ref1">1</xref>] . The studies of the conformational properties of HAs are highly relevant because HAs play a crucial role in the formation of agriculturally important soil structure and the structure of HA largely determines its physical and chemical properties. In addition, the relevance of studying of the conformational properties of HA is due to their ability to reduce the effect of toxicants as the latter bind into HA complexes.</p><p>A characteristic structural feature of macromolecules of HAs is their variability and polydispersity of their elemental and molecular composition [<xref ref-type="bibr" rid="scirp.52078-ref1">1</xref>] . To assess the degree of polydispersity of HAs the numerous physical- chemical methods were used [<xref ref-type="bibr" rid="scirp.52078-ref1">1</xref>] - [<xref ref-type="bibr" rid="scirp.52078-ref5">5</xref>] , and in particular, fluorescent approaches [<xref ref-type="bibr" rid="scirp.52078-ref6">6</xref>] - [<xref ref-type="bibr" rid="scirp.52078-ref13">13</xref>] . Earlier [<xref ref-type="bibr" rid="scirp.52078-ref12">12</xref>] , we proposed an original method for assessing the degree of polydispersity of the sample HA. This method is based on the excitation of the fluorescence by monochromatic illumination. This technique was able to detect the spectral dependence of the fluorescence quenching efficiency. The possibility of such approach has been demonstrated by fluorescence quenching of the standard sample HA by Cu<sup>2+</sup> ion. In this experiment, monotonic spectral dependence of the quenching constants was not received and results in the conclusion were made available at least three spectral components.</p><p>The aim of this work was to compare the spectral dependence of the efficiency of fluorescence quenching the HA samples by Cd<sup>2+</sup> and Cu<sup>2+</sup> ions. These ions have different radii: 0.108 nm and 0.08 nm for Cd<sup>2+</sup> and Cu<sup>2+</sup>, respectively [<xref ref-type="bibr" rid="scirp.52078-ref14">14</xref>] . In this regard, it can be expected that their interaction with sites containing fluorophores will be different. This difference may result from the differences in spatial accessibility of the quencher to the site containing the fluorophores (at the same value of Van der Vaals interaction) or from the differences in magnitude of Van der Vaals interaction (at the same available space). As a result of the experiments, it was found that the spectral dependence of the fluorescence quenching efficiency of Cd<sup>2+</sup> ion, HA, undergoes larger changes than the spectral dependence of the fluorescence quenching efficiency of HA by ion Cu<sup>2+</sup>.</p></sec><sec id="s2"><title>2. Materials and Methods</title><sec id="s2_1"><title>2.1. Materials</title><p>As a sample, HA the standard preparation (Humic Asid Standard IHSS Elliot soil 1S102H) was used. We used alkaline solutions (NaOH, “Fluka”). It was used as the quencher cadmium nitrate Cd(NO<sub>3</sub>)<sub>2</sub>∙5H<sub>2</sub>O and copper sulfate CuSO<sub>4</sub>∙5H<sub>2</sub>O (“SCHDA” without further purification) were used in the experiments.</p></sec><sec id="s2_2"><title>2.2. Preparation of HA Solutions</title><p>Stock solutions were prepared by dissolving HA 2 mg of sample in 20 ml of alkali solution. Solutions of lower concentrations were prepared by diluting this solution. The shaking of the initial solutions was performed for 60 minutes at room temperature followed by filtration. Measurement of the absorption spectra of the filtered and not filtered source HA solutions have shown their coincidence. Fluorescence spectra were recorded for 24 hours after the preparation of solutions.</p><p>Solutions of sulfuric and nitric acids were prepared using deionized water. When preparing solutions the scales “Sartorius” was used. The pH was ~13. pH values were measured with a pH meter “Redelkis”. All experiments were performed at (22 &#177; 1)˚C.</p></sec><sec id="s2_3"><title>2.3. Fluorescence Equipment</title><p>The absorption spectra were obtained on a Hewlett Packard 6041 spectrophotometer. Quartz cuvettes with optical path length of 1 cm were used. Fluorescence spectra were obtained N<sub>2</sub>-pulsed laser fluorometer (λ<sub>exc</sub> = 337.1 nm, illumination pulse frequency was 25 Hz, the average power of 80 mW) [<xref ref-type="bibr" rid="scirp.52078-ref12">12</xref>] [<xref ref-type="bibr" rid="scirp.52078-ref13">13</xref>] . The laser beam passed through the cell parallel to the top of the entrance slit of a fluorometer. The diameter of the laser beam was 3 mm. Distance from the center of the laser beam to the wall of the working of the cell through which the fluorescence was recorded was 0.5 cm. Cuvette was filled up with a solution to avoid formation of meniscus. Stability control of the intensity of the exciting light was conducted by periodic removal of the external standard (the intensity of Raman lines OH vibration of pure water).</p></sec><sec id="s2_4"><title>2.4. Processing of the Experimental Data</title><p>Integral efficiency of fluorescence quenching was determined by the value of Stern-Volmer quenching constants <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-2200974x11.png" xlink:type="simple"/></inline-formula> [<xref ref-type="bibr" rid="scirp.52078-ref15">15</xref>] from the relation</p><disp-formula id="scirp.52078-formula22"><label>(1)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/1-2200974x12.png"  xlink:type="simple"/></disp-formula><p>In (1), I<sub>0</sub> and I―the corrected integral fluorescence intensity with HA <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-2200974x13.png" xlink:type="simple"/></inline-formula> and<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-2200974x14.png" xlink:type="simple"/></inline-formula>, re-</p><p>spectively (<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-2200974x15.png" xlink:type="simple"/></inline-formula>―cadmium or copper ion). The magnitude of the corrected integrated intensity I determined from the equation (2)</p><disp-formula id="scirp.52078-formula23"><label>(2)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/1-2200974x16.png"  xlink:type="simple"/></disp-formula><p>In (2), <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-2200974x17.png" xlink:type="simple"/></inline-formula>and <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-2200974x18.png" xlink:type="simple"/></inline-formula> experimentally observed fluorescence intensity of solutions and sol- vent by fluorescence wavelength <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-2200974x19.png" xlink:type="simple"/></inline-formula> respectively. OD<sub>337</sub>―optical density at<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-2200974x20.png" xlink:type="simple"/></inline-formula>.<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-2200974x20.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-2200974x21.png" xlink:type="simple"/></inline-formula>―optical density at the wavelength of fluorescence <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-2200974x20.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-2200974x21.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-2200974x22.png" xlink:type="simple"/></inline-formula> at optical path length of 0.5 cm in the spectral range 350 - 650</p><p>nm. Factors <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-2200974x23.png" xlink:type="simple"/></inline-formula> and <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-2200974x23.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-2200974x24.png" xlink:type="simple"/></inline-formula> are corrective amendments on the inner filter effect in the excitation and emission of fluorescence, respectively. Integration of the modified loop fluorescence spectrum was conducted in the spectral range from 350 to 650 nm (the values of the lower and upper limit for ∫ sign).</p><p>Typically, the efficiency of fluorescence quenching at a specific wavelength <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-2200974x25.png" xlink:type="simple"/></inline-formula> quantitatively determined by the rate constants of quenching Stern-Volmer <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-2200974x25.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-2200974x26.png" xlink:type="simple"/></inline-formula> from the relation [<xref ref-type="bibr" rid="scirp.52078-ref15">15</xref>]</p><disp-formula id="scirp.52078-formula24"><label>(3)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/1-2200974x27.png"  xlink:type="simple"/></disp-formula><p>In (3), <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-2200974x28.png" xlink:type="simple"/></inline-formula>and<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-2200974x28.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-2200974x29.png" xlink:type="simple"/></inline-formula>―HA fluorescence intensity wavelength at <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-2200974x28.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-2200974x29.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-2200974x30.png" xlink:type="simple"/></inline-formula> for <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-2200974x28.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-2200974x29.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-2200974x30.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-2200974x31.png" xlink:type="simple"/></inline-formula> and ≠ 0, respectively. <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-2200974x28.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-2200974x29.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-2200974x30.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-2200974x31.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-2200974x32.png" xlink:type="simple"/></inline-formula>value was determined by the formula</p><disp-formula id="scirp.52078-formula25"><label>(4)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/1-2200974x33.png"  xlink:type="simple"/></disp-formula><p>However, in [<xref ref-type="bibr" rid="scirp.52078-ref13">13</xref>] it was shown that the magnitude <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-2200974x34.png" xlink:type="simple"/></inline-formula> cannot always be obtained from the experimental data due to the fact that in conventional rectifiability anamorphoses Stern-Volmer may be missing. In this regard, in [<xref ref-type="bibr" rid="scirp.52078-ref13">13</xref>] to estimate the spectral efficiency of quenching was proposed to use a parameter</p><disp-formula id="scirp.52078-formula26"><label>(5)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/1-2200974x35.png"  xlink:type="simple"/></disp-formula><p>Such a definition of quenching efficiency means that if <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-2200974x36.png" xlink:type="simple"/></inline-formula> holds fluorescence quenching, while <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-2200974x36.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-2200974x37.png" xlink:type="simple"/></inline-formula> the fluorescence intensity increases. In our work for the analysis of spectral efficiency of HA fluorescence quenching we also use this option. <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-2200974x36.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-2200974x37.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-2200974x38.png" xlink:type="simple"/></inline-formula>parameter characterizes the change in shape of the contour fluorescence upon addition of quencher and is a universal, i.e. it can be used for analysis of the spectra in all experiments. It is</p><p>easy to see that, since <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-2200974x39.png" xlink:type="simple"/></inline-formula> (from (3)) and because any manifestation of non-monotony in</p><p>the spectral dependence <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-2200974x40.png" xlink:type="simple"/></inline-formula> manifest in the spectral dependence of the parameter<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-2200974x40.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-2200974x41.png" xlink:type="simple"/></inline-formula>. An additional advantage of the parameter <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-2200974x40.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-2200974x41.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-2200974x42.png" xlink:type="simple"/></inline-formula> is that the analysis of spectral dependence of the quenching efficiency cannot ignore</p><p>the correction factor <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-2200974x43.png" xlink:type="simple"/></inline-formula> because calculation of the quantum yield is not required. Nevertheless, the</p><p>determination of the <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-2200974x44.png" xlink:type="simple"/></inline-formula> (not<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-2200974x44.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-2200974x45.png" xlink:type="simple"/></inline-formula>) is crucial because it can help to evaluate the rate constant for quenching fluorescence K<sub>q</sub>, which allows to draw conclusions about static or diffusion mechanism of fluorescence quenching [<xref ref-type="bibr" rid="scirp.52078-ref15">15</xref>] .</p><p>In addition, the analysis of experimental data, we used the <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-2200974x46.png" xlink:type="simple"/></inline-formula> parameter―the ratio of the <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-2200974x46.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-2200974x47.png" xlink:type="simple"/></inline-formula> values for Cu<sup>2+</sup> and Cd<sup>2+</sup> ions, respectively:</p><disp-formula id="scirp.52078-formula27"><label>(6)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/1-2200974x48.png"  xlink:type="simple"/></disp-formula><p>From the definition of this value, it implies that for <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-2200974x49.png" xlink:type="simple"/></inline-formula> copper ion more effectively quenches the fluorescence than cadmium ion, while <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-2200974x49.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-2200974x50.png" xlink:type="simple"/></inline-formula> less efficiently.</p><p>Fluorescence quenching rate constant <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-2200974x51.png" xlink:type="simple"/></inline-formula> [<xref ref-type="bibr" rid="scirp.52078-ref15">15</xref>] evaluated the relation</p><disp-formula id="scirp.52078-formula28"><label>(7)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/1-2200974x52.png"  xlink:type="simple"/></disp-formula><p>In (7),<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-2200974x53.png" xlink:type="simple"/></inline-formula>―fluorescence lifetime of the HA macromolecule in the absence of quencher. The <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-2200974x53.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-2200974x54.png" xlink:type="simple"/></inline-formula> values of HA samples (~3 ns) was taken from [<xref ref-type="bibr" rid="scirp.52078-ref10">10</xref>] .</p></sec></sec><sec id="s3"><title>3. Results</title><p>The observed absorption spectra of these HA solutions were similar to obtained earlier in [<xref ref-type="bibr" rid="scirp.52078-ref12">12</xref>] . The execution of the Bouguer-Lambert-Beer law was satisfactory (data not shown).</p><p><xref ref-type="fig" rid="fig1">Figure 1</xref>(a) and <xref ref-type="fig" rid="fig1">Figure 1</xref>(b) show the experimentally observed fluorescence spectra for the systems studied. In the inset, the Stern-Volmer dependences were showed, as amended by (2). It is visible good rectifiable. Evaluation of the constants <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-2200974x55.png" xlink:type="simple"/></inline-formula> gives values (2560 &#177; 250) М<sup>−1</sup> and (4300 &#177; 250) M<sup>−</sup><sup>1</sup> for quenching ions Cd<sup>2+</sup> and Cu<sup>2+</sup>, respectively. Quenching rate constants <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-2200974x55.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-2200974x56.png" xlink:type="simple"/></inline-formula> were <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-2200974x55.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-2200974x56.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-2200974x57.png" xlink:type="simple"/></inline-formula> and <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-2200974x55.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-2200974x56.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-2200974x57.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-2200974x58.png" xlink:type="simple"/></inline-formula> for quenching ions Cd<sup>2+</sup> and Cu<sup>2+</sup>, respectively. These values exceed the diffusion constants, which for aqueous solutions should be around 10<sup>10</sup> M<sup>−1</sup>s<sup>−</sup><sup>1</sup> [<xref ref-type="bibr" rid="scirp.52078-ref15">15</xref>] . Exceeding the observed quenching rate constants of diffusion values indicates the presence of static quenching, i.e. in the studied solutions the complex formation between HA macromolecules and metal ion takes place in the dark.</p><fig id="fig1"  position="float"><label><xref ref-type="fig" rid="fig1">Figure 1</xref></label><caption><title> The experimentally observed fluorescence spectra of HA. [Cd<sup>2+</sup>] = 0 (1); 2.5 &#215; 10<sup>−</sup><sup>4</sup> M (2); 5 &#215; 10<sup>−</sup><sup>4</sup> M (3); 1.1 &#215; 10<sup>−</sup><sup>3</sup> M (4)-a; [Cu<sup>2+</sup>] = 0 (1); 1.25 &#215; 10<sup>−</sup><sup>3</sup> M (2); 2.5 &#215; 10<sup>−</sup><sup>3</sup> M (3); 3.75 &#215; 10<sup>−</sup><sup>3</sup> M (4)-b. The insets: the Stern-Volmer dependences constructed according to the Equation (2)</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/1-2200974x59.png"/></fig><p><xref ref-type="fig" rid="fig2">Figure 2</xref>(a) shows the spectral dependence of <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-2200974x60.png" xlink:type="simple"/></inline-formula> for fluorescence quenching HA by ions Cd<sup>2+</sup> (1) and Cu<sup>2+</sup> (2). As can be seen from the figure, there is a noticeable difference in the spectral dependence of <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-2200974x60.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-2200974x61.png" xlink:type="simple"/></inline-formula> in the spectral range <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-2200974x60.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-2200974x61.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-2200974x62.png" xlink:type="simple"/></inline-formula> nm cadmium ion quenches the fluorescence is weaker than the copper ion (<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-2200974x60.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-2200974x61.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-2200974x62.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-2200974x63.png" xlink:type="simple"/></inline-formula>values for Cd<sup>2+</sup> ion is less than for Cu<sup>2+</sup> ion). This means that in the macromolecule IHSS the sites contained identical fluorophores interact weakly with the cadmium ion than with the copper ion. Noteworthy is also the fact that the observed value <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-2200974x60.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-2200974x61.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-2200974x62.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-2200974x63.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-2200974x64.png" xlink:type="simple"/></inline-formula> for cadmium ion at <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-2200974x60.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-2200974x61.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-2200974x62.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-2200974x63.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-2200974x64.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-2200974x65.png" xlink:type="simple"/></inline-formula> nm, which means the increase of fluorescence intensity.</p><p>From of the data of <xref ref-type="fig" rid="fig2">Figure 2</xref>(a) the difference in the magnitude of changes in the efficiency of fluorescence quenching <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-2200974x66.png" xlink:type="simple"/></inline-formula> of copper and cadmium ions in the spectral range of 400 - 600 nm is also very noticeable:</p><disp-formula id="scirp.52078-formula29"><label>(8)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/1-2200974x67.png"  xlink:type="simple"/></disp-formula><p>For cadmium ion value <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-2200974x68.png" xlink:type="simple"/></inline-formula> but for the copper ion <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-2200974x68.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-2200974x69.png" xlink:type="simple"/></inline-formula> Thus, the difference of values is more than 2 times. This means that the interaction of cadmium ions with sites of HA macromolecule undergoes larger changes than the interaction of copper ions with the same sites. Thus, the availability of sites for HA fluorescence quenching for cadmium ions varies more than for copper ions.</p><p>In <xref ref-type="fig" rid="fig2">Figure 2</xref>(b), the spectral dependence of the <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-2200974x70.png" xlink:type="simple"/></inline-formula> values is shown. In this case, the data clearly show that the dependence of the <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-2200974x70.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-2200974x71.png" xlink:type="simple"/></inline-formula> on <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-2200974x70.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-2200974x71.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-2200974x72.png" xlink:type="simple"/></inline-formula> is a function. The value increases with the increasing wavelength of HA fluorescence spectra. The form of the spectral dependence of <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-2200974x70.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-2200974x71.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-2200974x72.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-2200974x73.png" xlink:type="simple"/></inline-formula> shows that upon increase of the “red” region of the spectrum fluorescence of the HA chromophore, the quenching efficiency of copper ion becomes higher.</p><fig id="fig2"  position="float"><label><xref ref-type="fig" rid="fig2">Figure 2</xref></label><caption><title> Spectral dependence of the α<sub>λ</sub> parameter. (a) For copper ion―1; for cadmium ion―2. (b) Spectral dependence of the β<sub>λ</sub> para- meter</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/1-2200974x74.png"/></fig></sec><sec id="s4"><title>4. Discussion</title><p>We obtained the following facts: First, in the spectral range 400 - 600 nm cadmium ion quenches the fluorescence weaker than the copper ion; second, in the spectral range 400 - 600 nm for the cadmium ion value <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-2200974x75.png" xlink:type="simple"/></inline-formula> is greater than for the copper ion; third, in the “blue” part of the spectrum of HA fluorescence the effective quenching by ions of both metals takes place; fourth; HA fluorescence quenching increases at λ &gt; 600 nm upon adding cadmium ion; fifth, continuous growth values <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-2200974x75.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-2200974x76.png" xlink:type="simple"/></inline-formula> with increasing <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-2200974x75.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-2200974x76.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-2200974x77.png" xlink:type="simple"/></inline-formula> was observed.</p><p>1) The decrease of the effective quenching of cadmium ion can be explained by the low access to HA fluorophores by this ion due to its larger size compared to copper ion and, consequently, by the lower efficiency of forming the complex.</p><p>2) For all sites of HA with fluorophores emitting light in the range of 400 - 600 nm, the availability of the copper ion is the same, while for the cadmium ion takes place a limit of availability.</p><p>3) Based on the proposed model, the effective quenching of ions of both metals in the “blue” part of the spectrum should be attributed to the fact that the chromophores emitting “blue” fluorescence are most accessible (not screened) and located, respectively, on the periphery of the HA macromolecule structure.</p><p>4) The increase of fluorescence intensity upon addition of cadmium ion <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-2200974x78.png" xlink:type="simple"/></inline-formula> can be interpreted by the influence of the metal ion complex formation with the macromolecule HA and structure of the macro-mo- lecule is changed partially. This result is a site in which the fluorophore undergoes complexation, which, in turn, increases its intensity. The increase in the fluorescence intensity upon the formation of complexes has been observed previously [<xref ref-type="bibr" rid="scirp.52078-ref15">15</xref>] .</p><p>5) Increasing quantity of <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-2200974x79.png" xlink:type="simple"/></inline-formula> with growing of <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-2200974x79.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-2200974x80.png" xlink:type="simple"/></inline-formula> can be associated with the fact that binding of copper ions with specific sites of HA macromolecule takes place more effectively than cadmium ion in the case of sites having “red” fluorophores. Hence, the availability of sites having “red” fluorophores is higher for the smaller radius ion. This conclusion suggests that the “red” fluorophores have limited availability while availability of fluorophores causing “blue” region of the fluorescence spectrum of HA is much higher. In connection with this, the conservative assumption can be made that the “red” part of the fluorescence spectrum of HA contributes to the fluorescence of fluorophores located at the core sites of HA.</p><p>It is not difficult to see that the above explanation of the spectral dependences of <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-2200974x81.png" xlink:type="simple"/></inline-formula> is based on the assumption that the quenching efficiency depends only on the availability of fluorophores in HA structure. (The “chemical” factor was considered constant, e.g., the Coulomb interaction between the ions of copper and cad- mium, with the same accessibility site is different due to different distances between the centers of interaction.). 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