# Quick Multicomponent Analysis Based on Matrix Isopotential Synchronous Fluorimetry

Authors: Géza Makkai; János Erostyák
Journal: ISRN Spectroscopy
 (2012)

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## Abstract

Fast and precise methods are important in chemical and physical analysis, but determination of concentration of selected components in mixtures may have special difficulties. Excitation-emission matrices (EEM) are widely used in characterizing fluorescence emission. Based on these primary data, we present an improvement of matrix isopotential synchronous fluorimetry (MISF) and a method which ensures a very fast multicomponent analysis. MISF is generally combined with derivative technique (DMISF) to be able to eliminate the contribution of the background emission. Unfortunately, it is too sensitive to noises and fluctuations; thus the concentration region where it can be used, was limited until now. Our first aim was to reduce the influence of measurement errors and to increase the sensitivity of known MISF method by more than one order of magnitude. As a further result, using improved MISF, we got a method which ensures very fast determination of the wanted compound's concentration both in presence of one- or even two-component background of unknown concentration.


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## Body

## 1. Introduction

The analysis of multicomponent mixtures without chemical or physical separation procedures is often based on spectroscopic measurements [1]. In conventional fluorescence spectroscopy, excitation and emission spectra are used for the analysis. In case of overlapping spectra, the synchronous fluorescence spectroscopy (SFS) [2–9] may help with its sharper and more separated spectral bands. Among the several variations of SFS and derivative SFS we will focus now on the matrix isopotential synchronous fluorimetry (MISF) [10–16]. When using MISF, one has to measure excitation-emission matrices (EEM). In an EEM there are fluorescence intensity data depending on both excitation and emission wavelengths. The neighboring spectral points of same fluorescence intensity form an isopotential trajectory in the EEM. The essence of MISF is that along the spectral points of an isopotential trajectory of a compound the fluorescence intensity of this compound is constant. In derivative MISF (DMISF) [17–19] the neighboring points on the isopotential scanning route are taken into account and subtracted from each other; thus the contribution of that compound is eliminated.The aim of this work was to determine if a further improvement of MISF could be directly used as a fast, easy, and sensitive technique to quantify the concentration of compounds in the presence of known background compounds of unknown concentrations.


## 2. Procedures and Methods

The measured spectra always have systematic and random errors which disturb the precise investigation and judgment of a numerical method working with spectral data. To find the exact sensitivity of the improved MISF, we used simulated, noisy spectral data. Origin 7 was used to generate EEMs and Poisson-like noises and to calculate MISF spectra. Special algorithms and functions were built by our group in Origin C’s environment. The fully detailed information about the procedures and methods used can be found in our previous work [14].The main steps were:(i)
generating EEMs with predefined spectral shape (simulated the measured components concentration in the range of10-7 M–10-11 M) and noise level (% percentage of the maximum intensity),(ii)
searching for the wanted compound’s maximum intensity,(iii)
generating MISF points from the mixture’s EEM at intensity level previously found,(iv)
getting intensity values from selected locations of MISF spectrum.Figure1 shows the contour plots of three  spectrally strongly overlapping fluorescing components, similar, for example, to real compounds of Rhodamine 116, Rhodamine G, and Rhodamine B. For the sake of simplicity, hereinafter we will call the three model compounds as Component 116, Component G, and Component B.Figure 1
Contour plots of model components’ EEMs. Simulating10-7 M concentration of each.


## 3. Results and Discussion

Series of EEMs of two- and tree-component mixtures were analyzed. MISF spectra were constructed using isopotential trajectories (Figure2) in the EEM of background sample. A precise and stable mathematical routine interpolating the three-dimensional data of EEM is needed to extract the proper excitation and emission wavelength parameters of a trajectory [12].Figure 2
Grid points (red signs) of an isopotential trajectory at the level of Component B’s maximum intensity on Component G.Figure3 shows the 3D position of an MISF spectrum of the mixtures of 10-7 M Component B as the wanted component and 10-7 M Component G as the interfering one. The isopotential trajectories of the background component are projected to the λexc-λemi plane. The points of MISF spectrum are highlighted in blue color over the orange wireframe of the mixture’s EEM. A DMISF spectrum can be calculated as the difference of consecutive points of MISF spectrum. Unfortunately, it may suffer from the unavoidable fluctuations of fluorescence intensity data, and already a relatively low noise of the background compound’s fluorescence can defeat improving the sensitivity over 1 : 20.Figure 3
MISF points on mixture’s 3D surface (blue signs on orange wireframe). Wanted component is10-7 M B, interfering one is 10-7 M G. Bottom: contours of isopotential trajectories of background component.


### 3.1. Two-Component Mixtures

To step over this problem, we calculated intensity differences from not neighboring points of MISF spectrum. To reach the highest sensitivity we use the trajectory which passes through the fluorescence maximum of the wanted compound. At the selected points, the fluorescence intensity of the wanted component is significantly different, and this difference is much higher than the intensity fluctuations even in a noisy MISF spectrum. In Figure4 the green trajectory of the background component is selected so that it goes through the intensity maximum of the wanted component. Blue crosses identify the spectral positions of the intensity maximum and one of the intensity half-maxima of the wanted component along the trajectory. Now, let us take the points of mixture’s EEM using these spectral positions. Intensity difference between the two points is purely proportional to the concentration of the wanted component. Figure 5 shows the original MISF trajectory and the selected QMISF points.Figure 4
Isopotentials of Component G (background, dashed lines) and Component B (wanted, continuous lines) displayed in the same figure. Measuring points in case of these two interfering (one background) components are signed with blue crosses.Figure 5
QMISF points (red signs) on calculated intensity values of MISF trajectory.


### 3.2. Three-Component Mixtures

We extended this technique to three-component analysis, where the wanted compound (now Component 116) can be precisely found in the presence of two independently varying background components. To be able to do this, we have to find two trajectories which cross each other in theλexc-λemi plane (green and red color trajectories belong to 10-7 M Component G and 10-7 M Component B background components, resp.). These two positions are marked by blue crosses in Figure 6.Figure 6
Measuring point pair in case of three interfering (two background) components (blue crosses). The isopotential trajectories of the two background components (Component G and Component B) are displayed.Figure7 illustrates in 3D that the two trajectories lie at different intensity levels. Taking the intensity difference of the three-component mixture’s EEM in the two selected spectral positions will eliminate influences of both background components. This intensity difference remains proportional solely to the emission intensity of the wanted third component.Figure 7
3D visualization of virtually crossing trajectories and the selected spectral locations.We found that two data points from a three-component mixture’s EEM are enough to establish a reliable concentration determination of a wanted compound in the presence of two known background compounds of unknown concentration.First, we have to know which compounds are in the solution, and precise measurement and analysis of components’ EEMs are needed. But then, by selecting proper isopotential trajectories, the wanted component’s concentration can be determined both in case of one-component or even two-component background of unknown concentration. We have to measure fluorescence intensity just in two spectral points, and the intensity difference[I(λexc1,λemi1)-I(λexc2,λemi2)] is proportional to the concentration of the wanted compound.This method is capable to quantitatively determine fluorophores being in less than 1 : 200 fluorescence intensity ratio compared to each other even at medium noise level (1%-2% of intensity of the background component). Even at 0.5% noise level a quantitative estimation can be done, where the level of noise added to the mixture randomly means the percentage of the maximum fluorescence intensity. Figures8, 9, and 10 show the sensitivity of QMISF technique in case of 0.1%, 0.2%, and 0.5% noise level. This statement is valid for both the two- and three-component variation of the improved MISF. Intensity fluctuations are shown on emission lines with different proportion of added noise on Figure 11.Figure 8
Linearity of findings in case of two components (constant10-7 M Model G, 5*10-10 M–1*10-7 M Model B). Noise level is 0.1%.Figure 9
Linearity of findings in case of two components (constant10-7 M Model G, 5*10-10 M–1*10-7 M Model B). Noise level is 0.2%.Figure 10
Linearity of findings in case of two components (constant10-7 M Model G, 5*10-10 M–1*10-7 M Model B). Noise level is 0.5%.Figure 11
Comparison of the same simulated mixture’s emission lines with different noise levels.


## 3.1. Two-Component Mixtures

To step over this problem, we calculated intensity differences from not neighboring points of MISF spectrum. To reach the highest sensitivity we use the trajectory which passes through the fluorescence maximum of the wanted compound. At the selected points, the fluorescence intensity of the wanted component is significantly different, and this difference is much higher than the intensity fluctuations even in a noisy MISF spectrum. In Figure4 the green trajectory of the background component is selected so that it goes through the intensity maximum of the wanted component. Blue crosses identify the spectral positions of the intensity maximum and one of the intensity half-maxima of the wanted component along the trajectory. Now, let us take the points of mixture’s EEM using these spectral positions. Intensity difference between the two points is purely proportional to the concentration of the wanted component. Figure 5 shows the original MISF trajectory and the selected QMISF points.Figure 4
Isopotentials of Component G (background, dashed lines) and Component B (wanted, continuous lines) displayed in the same figure. Measuring points in case of these two interfering (one background) components are signed with blue crosses.Figure 5
QMISF points (red signs) on calculated intensity values of MISF trajectory.


## 3.2. Three-Component Mixtures

We extended this technique to three-component analysis, where the wanted compound (now Component 116) can be precisely found in the presence of two independently varying background components. To be able to do this, we have to find two trajectories which cross each other in theλexc-λemi plane (green and red color trajectories belong to 10-7 M Component G and 10-7 M Component B background components, resp.). These two positions are marked by blue crosses in Figure 6.Figure 6
Measuring point pair in case of three interfering (two background) components (blue crosses). The isopotential trajectories of the two background components (Component G and Component B) are displayed.Figure7 illustrates in 3D that the two trajectories lie at different intensity levels. Taking the intensity difference of the three-component mixture’s EEM in the two selected spectral positions will eliminate influences of both background components. This intensity difference remains proportional solely to the emission intensity of the wanted third component.Figure 7
3D visualization of virtually crossing trajectories and the selected spectral locations.We found that two data points from a three-component mixture’s EEM are enough to establish a reliable concentration determination of a wanted compound in the presence of two known background compounds of unknown concentration.First, we have to know which compounds are in the solution, and precise measurement and analysis of components’ EEMs are needed. But then, by selecting proper isopotential trajectories, the wanted component’s concentration can be determined both in case of one-component or even two-component background of unknown concentration. We have to measure fluorescence intensity just in two spectral points, and the intensity difference[I(λexc1,λemi1)-I(λexc2,λemi2)] is proportional to the concentration of the wanted compound.This method is capable to quantitatively determine fluorophores being in less than 1 : 200 fluorescence intensity ratio compared to each other even at medium noise level (1%-2% of intensity of the background component). Even at 0.5% noise level a quantitative estimation can be done, where the level of noise added to the mixture randomly means the percentage of the maximum fluorescence intensity. Figures8, 9, and 10 show the sensitivity of QMISF technique in case of 0.1%, 0.2%, and 0.5% noise level. This statement is valid for both the two- and three-component variation of the improved MISF. Intensity fluctuations are shown on emission lines with different proportion of added noise on Figure 11.Figure 8
Linearity of findings in case of two components (constant10-7 M Model G, 5*10-10 M–1*10-7 M Model B). Noise level is 0.1%.Figure 9
Linearity of findings in case of two components (constant10-7 M Model G, 5*10-10 M–1*10-7 M Model B). Noise level is 0.2%.Figure 10
Linearity of findings in case of two components (constant10-7 M Model G, 5*10-10 M–1*10-7 M Model B). Noise level is 0.5%.Figure 11
Comparison of the same simulated mixture’s emission lines with different noise levels.


## 4. Conclusion

QMISF is a significant (approximately two orders of magnitude) improvement compared to the classical DMISF method. At the final form, when the investigation of a certain complex sample has been done, only two spectral points are to be selected from the interpolated EEM. It means that a very sensitive, extremely fast, almost real time measurement can be established for determining the concentration of a wanted component very precisely. The most important features of the improved MISF are that(i)
the concentrations of background components are practically indifferent,(ii)
the sensitivity is much higher compared to classical DMISF,(iii)
measurements only at two spectral positions are enough.The S/N ratio can be improved with increasing the integration time, the number of excitation pulses, the scanning time, and so forth in fluorescence measurements. A longer measuring time is still acceptable with the proposed new QMISF technique, when fluorescence intensity should be measured at only two spectral points in the routine measurements. Other techniques need measuring at much more spectral points, and there may be no time to collect these data to be noiseless enough.A main force of QMISF is that the wanted component can be found at a reasonable measuring time at even10-4-10-3 relative concentration compared to the background (assuming similar quantum yields both for wanted and background components).Based on these results, fast routine measurements could be implemented. Even simple fluorometers using narrowband interference filters could be built for special purposes. We are working on these new concepts and on further improvement of MISF.



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*Source: 917879-2012-12-18.xml*