The results of the validation of identification nanoparticle colloidal silver and gold on the polyester 
fibers on the background component of the Raman spectra in the control based on the polarization chara c-teristics. The accuracy of identification of nanoparticles was evaluated by the joint probability of crossing 
normal scatter intensity distributions Raman spectrograms as silver nanoparticles and gold nanoparticles 
on polyester fibers, depending on the longitudinal and transverse polarization of the laser radiation on the 
entire range of wave numbers. Defined generalized parameter values common to distributions over the en-tire range for each wave numbers with the polarization of the laser and across the grain, and generalized 
reliability of the control and identification of nanoparticles of silver, gold for assessing the likelihood of the 
complete group of events. Set the sensitivity of detection reliability.
When you are citing the document, use the following link http://essuir.sumdu.edu.ua/handle/123456789/3638

Avilova, I.A.

Butov, K.V.

Danilova, S.A.

Dobrovolskaya, T.A.

Emelyanov, V.M.

Emelyanov, V.V.

Eskov, A.S.

Eskova, N.Y.

Orlov, E.J.

Electronic Sumy State University Institutional Repository

JOURNAL OF NANO- AND ELECTRONIC PHYSICS ЖУРНАЛ НАНО- ТА ЕЛЕКТРОННОЇ ФІЗИКИ Vol. 6 No 3, 03068(5pp) (2014) Том 6 № 3, 03068(5cc) (2014)   The article was reported at the International Conference «The Advanced Technology, Equipment and Analytical Systems for Materials», Kursk, 13-14 May, 2014 2077-6772/2014/6(3)03068(5) 03068-1  2014 Sumy State University Evaluation of Silver and Gold Nanoparticles on Polyester Fibers  by Fluorescent Polarization Raman Spectra  V.M. Emelyanov*, T.A. Dobrovolskaya, I.A. Avilova, S.A. Danilova, V.V. Emelyanov, K.V. Butov, E.J. Orlov, A.S. Eskov, N.Y. Eskova  Southwest state University, 94, 50 let Octyabrya Str., 305040 Kursk, Russia   (Received 19 May 2014; revised manuscript received 01 July 2014; published online 15 July 2014)  The results of the validation of identification nanoparticle colloidal silver and gold on the polyester  fibers on the background component of the Raman spectra in the control based on the polarization charac-teristics. The accuracy of identification of nanoparticles was evaluated by the joint probability of crossing normal scatter intensity distributions Raman spectrograms as silver nanoparticles and gold nanoparticles on polyester fibers, depending on the longitudinal and transverse polarization of the laser radiation on the entire range of wave numbers. Defined generalized parameter values common to distributions over the en-tire range for each wave numbers with the polarization of the laser and across the grain, and generalized reliability of the control and identification of nanoparticles of silver, gold for assessing the likelihood of the complete group of events. Set the sensitivity of detection reliability.  Keywords: Polyester fiber, Colloidal nanoparticles of silver and gold, Raman spectra, Polarization charac-teristics of Raman spectroscopy, Mathematical modeling of the spectra, Background fluorescent compo-nents of the Raman spectra, Accuracy of control, Probability of crossing the scatter of normal distributions.   PACS numbers: 02.60.Cb, 02.70.Rr                                                             * emelianov@nm.ru. 1. INTRODUCTION  The polarization characteristics of the Raman scat-tering of light or Raman spectroscopy can significantly increase the accuracy of identification for control nano-particles are on the fibers of textiles. The work performed [1-6] allow us to estimate the presence of nanoparticles on polyester fibers, but define them as belonging to the silver or gold is difficult be-cause of their small number. Increase the reliability of the use of multivariate methods allow estimation of reliability and vector-matrix correlation and autocorre-lation polarization characteristics and components of the Raman spectra.  2. DESCRIPTION OF THE SUBJECT AND METHODS OF RESEARCH  2.1 Experimental Procedure  In the experiment are chosen polyester ( PE) fibers, which were deposited on silver nanoparticles colloidal solution of silver nano AgBion-2 (TU 2499-003-44471019-2006 Concern "Nanoindustry") and colloidal gold nanoparticle solution of gold nanoparticles (TU 9154-001-93099853-06 NGOs Biotest). Of textile mate-rials nanoparticles was carried out in the laboratory of the Chemistry Department of Southwest State Univer-sity. Polyester fiber was chosen because of the small number of peaks – the main components of the Raman spectrum. As a result, there were obtained:  – samples with silver nanoparticles measured with polarization along the fiber 1Ag, 2Ag and 3Ag; samples 4Ag, 5Ag and 6Ag - with silver nanoparticles measured with polarization perpendicular to the grain; – samples with gold nanoparticles measured with polarization along the fibers 1Au, 2Au and 3Au; and samples with gold nanoparticles 4Au, 5Au and 6Au measured with polarization perpendicular to the grain. The measurements were performed with a scanning probe microscope (SPM) with a confocal Raman and fluorescence spectrometer OmegaScope ™. On each sample were measured with the polarization of the la-ser beam and across the grain at the location of the fibers with the stage on the table microscope SPM.  2.2 The Processing of the Experimental Data   Translation Raman spectrograms of the program was carried out in Mathcad Spekwin32 through Excel compatible ASCII. As a result, the spectrograms were obtained polyester fibers E1Ag, E2Ag, E3Ag, E4Ag, E5Ag, E6Ag with silver nanoparticles and E1Au, E2Au, E3Au, E4Au, E5Au, E6Au with gold nanoparticles. The next step performed mathematical modeling back-ground constituents from the separation in accordance with the procedure described in [1]. As a result, the values of background components A1 (X1), A2 (A2), A3 (A3), A4 (X4), A5 (X5), A6 (X6) for fibers with silver nanoparticles and A1Au (XAu1), A2Au (XAu2), A3Au (XAu3), A4Au (XAu4), A5Au (XAu5), A6Au (XAu6) for fibers with gold nanoparticles. Fig. 1 and 2 show the spectrograms obtained for samples 1Ag, 4Ag, 1Au, 4Au.  Estimation of parameters of the intensity distribu-tion of the spectrograms of Fig. 1-2 performed using the program Mathcad. Respectively, were determined ex-pectations spectra intensities nanochatsitsami silver fibers: ME123Agi, ME456Agi and gold nanoparticles: ME123Aui, ME456Aui, and standard deviations, re-spectively: Agi, gi, Aui,  Aui. To quantify the differences you need to consider the accuracy of the control lines on the probability of con-tact with tolerances coefficient yi: ME123i-yi 123i and   V.M. EMELYANOV, Т.А. DOBROVOLSKAYA, ET AL.  J. NANO- ELECTRON. PHYS. 6, 03068 (2014)   03068-2     Fig. 1 – Spectrogram Raman Raman scattering and background fluorescent components in the system MathCad:  a – polarization along the PE fibers with silver nanoparticles; b – polarization across PE fibers with silver nanoparticles     Fig. 1 – Spectrogram Raman Raman scattering and background fluorescent components in the system MathCad: a – polarization along the PE fibers with gold nanoparticles; b – polarization across PE fibers with gold nanoparticles  ME456i-yi i, as well as for ME123Aui-yAui 123Aui and ME456Aui-yAui ui, and combinations thereof. Contact lines detected in the simulation by determining the coefficients yi, so that the lines touch at one point for each of i = 0 ... n: yi:= (ME123Agi – ME456Agi ) / gi + 123Agi), yAui:= (ME123Aui – ME456Aui )/ Aui + Aui ),    y123AgAui:=(ME123AgiME123Aui)  / gi + 123Aui), y456AgAui:=(ME456Aui–ME456Agi)/ Aui + Agi ),                                                                      (1) y16i:=(ME123Agi–ME456Aui )/ ui + 123Agi (1) Estimation of reliability for silver nanoparticles car-ried by the following expressions: p1i = 1 – pnorm(ME123Agi - yi . 123Agi, ME123Agi , 123Agi), p2i = pnorm(ME456Agi + yi. gi, ME456Agi, gi).                                                                       (2) By equations (3) is estimated for the accuracy of the gold nanoparticles: p1Aui = 1 – pnorm(ME123Aui - yAui 123Aui, ME123Aui, 123Aui), p2Aui = pnorm(ME456Aui + yAui ui, ME456Aui, ui).                                                                      (3) Together silver and gold nanoparticles for polariza-tion along the fiber is estimated accuracy of the follow-ing expressions: p1123AgAui = 1 – pnorm(ME123Agi – y123AgAui 123Agi, ME123Agi , 123Agi), p2123AgAui = pnorm(ME123Aui+ y123AgAui ui, ME123Aui ui).                                                     (4) Equations (5) the accuracy of the estimated together silver and gold nanoparticles with polarization perpen-dicular to the grain: p1456AgAui = 1 – pnorm(ME456Aui – y456AgAui 456Aui, ME456Aui , 456Aui), p2456AgAui = pnorm(ME456Agi + y456AgAui gi, ME456Agi , gi).                                 (5) Silver nanoparticles together with polarization along the fibers and gold nanoparticles with polariza-tion perpendicular to the grain is estimated accuracy of the following: p116AgAui = 1 – pnorm(ME123Agi – y16i 123Agi, ME123Agi , 123Agi), p216AgAui = pnorm(ME456Aui + y16i ui, ME456Aui , ui).                                                  (6)  3. DESCRIPTION AND ANALYSIS OF RESULTS  Determine the reliability of the results from the expressions (1) - (6) are shown in Figure 3-4.   а b а b  EVALUATION OF SILVER AND GOLD NANOPARTICLES… J. NANO- ELECTRON. PHYS. 6, 03068 (2014)   03068-3     Fig. 3 – The accuracy of identification when joint control presence of nanoparticles of silver and gold: a – silver and gold nanopar-ticles for polarization along the fiber; b – silver and gold nanoparticles with polarization perpendicular to the grain; c - silver na-noparticles for polarization along the fibers and gold nanoparticles with polarization perpendicular to the grain       Fig. 4 – Reliability of identifying the presence of nanoparticles in the control of silver and gold in the local areas of the range of wave numbers: a - silver nanoparticles for polarization along and across the grain in the range of wave numbers E1Agi, 0 = 1240 1740 cm -1; b - silver nanoparticles for polarization along and across the grain in the range of wave numbers E1Agi, 0 = 2870  3110 cm-1; c - gold nanoparticles for polarization along and across the grain in the range of wave numbers E1Agi, 0 = 1240  1740 cm -1; d - gold nanoparticles for polarization along and across the grain in the range of wave numbers E1Agi, 0 = 2870  3110 cm-1  The accuracy of the identification of silver and gold nanoparticles with control showed high values in local areas of the range of wave numbers up to 0.994. How-ever, the accuracy of the identification of silver and gold nanoparticles with control on the mean intensity spectrograms simultaneously across the entire range of wave numbers gives lower values: p1_0=0.813, p1Au_0=0.499, p1123AgAu_0=0.777,  p1456AgAu_0=0.551,  pp116AgAu_0= 0.774. Therefore, it was simulated authenticity identifica-tion of silver and gold nanoparticles by assessing the likelihood of the complete group of events: а b c а b c d  V.M. EMELYANOV, Т.А. DOBROVOLSKAYA, ET AL.  J. NANO- ELECTRON. PHYS. 6, 03068 (2014)   03068-4 p i = 1- (1 – p123Agi) (1 – p1Aui), min(p i) = 0.976, mах(p i) = 0.997;  p 0=1-(1-0.813) (1–0.5),    p 0=0.906.                          (7) The results of the validation by model (7) are shown in Figure 5.     Fig. 5 – Authenticity of identification with the joint control of nanoparticles of silver and gold on a full assessment of the probability of an event group: a - normal scale of spectrogram reliability; b - zoomed spectrogram reliability  Therefore, the accuracy of identification was evalu-ated nanoparticles of silver and gold on local areas and peaks  (Table 1). For wavenumbers E1Agi,0 = 1240  1740 cm-1 fibers with silver nanoparticles  the accuracy of the identifica-tion of high p123Agi = 1.000 when compared to the lon- gitudinal and transverse ME123Agi ME456Agi components because the longitudinal component ME123Agi intensity much more transverse ME456Agi, and the average standard deviation gi 50 times less ME123Agi. In the region of wave numbers E1Agi,0 = 2870  3110 cm-1 for silver nanoparticles  the accuracy of the identification of high 1 - p123Agi = 1.000 (p123Agi = 0.000) between the transverse and longitudinal ME456Agi ME123Agi components, due to the fact that the transverse component ME456Agi intensity much more longitudinal ME123Agi. Standard deviation gi 10 times less ME123Agi. For gold nanoparticles in the region of wave num-bers E1Aui,0 = 1240  1740 cm -1 identification accuracy of the lowest p1Aui <0.500 when assessing longitudinal and transverse ME123Aui ME456Aui components. This is due to the fact that the transverse component ME456Aui intensity slightly more longitudinal ME123Aui, and the average standard deviation ui comparable ME123Aui. The accuracy of identification for gold nanoparticles is not very high 1 - p123Aui  0.800 (p123Aui  0.200) with the transverse and longitudinal ME456Aui ME123Aui components in the wave-number E1Aui, 0 = 2870  3110 cm-1 due to the fact that the transverse component ME456Aui intensity a little more longitudi-nal ME123Aui, and standard deviations ui less ME123Aui. Data reliability of the control and proxy authentica-tion nanoparticles of silver and gold, identified by mathematical models (1-6) are in the range of from 0.2 to 0.997 over the entire range for each wave numbers with the polarization of the laser and across the grain . It shows high sensitivity detection reliability .According to the model (7) are defined generalized pa-rameter values common to distributions over the entire range for each wave numbers, and generalized reliabil-ity of the control and identification of nanoparticles of silver and gold on a full assessment of the probability of an event group . In this case, the validity range is changed from a minimum value 0.976  to a maximum 0.997. The accuracy of the identification of silver and gold nanoparticles with control on the mean intensity spectrograms simultaneously across the entire range of wave numbers, taking into account estimates of the probability of the complete group of events (7) gives a high confidence value 0.906.  4. CONCLUSIONS   1. Due to the large scatter in the values of parameters in the control information of silver and gold nanoparti-cles on polyester fibers and considerable uncertainty in the laws of their manifestation of the most highly relia-ble control of the presence of nanoparticles and their identification method of accounting gives the polariza-tion of the laser radiation and across the grain with the identification of background fluorescent components.   Table 1 - Reliability of identification of nanoparticles under control by peaks  E1Agi,0 861.11 999.30 1091.0 1176.0 1283.0 1406.0 1598.0 1713.0 2949.0 3057.0 ME123Agi 882.97 391.68 844.46 166.01 2046.0 360.77 4435.0 2386.0 364.22 298.02 ME456Agi 1265.00 37.969 735.91 307.89 841.05 71.191 639.42 1521.0 878.95 1280.0 p123Agi 0.0455 1.000 0.784 0.009 1.000 1.000 1.000 1.000 0.000 0.000 ME123Aui 762.09 190.26 600.24 133.79 1253.0 212.85 2696.0 1617.0 365.30 450.17 ME456Aui 1132.00 297.99 844.46 261.58 1776.0 296.45 3556.0 2615.0 574.41 699.90 p1Aui 0.316 0.409 0.355 0.192 0.410 0.426 0.436 0.358 0.178 0.225 а b  EVALUATION OF SILVER AND GOLD NANOPARTICLES… J. NANO- ELECTRON. PHYS. 6, 03068 (2014)   03068-5 2. A method for determining the reliability of the con-trol of nanoparticles to determine the parameters of the laws of the intensity distribution of the Raman spec-trum for each value in the whole range of wave num-bers for spektogramm at polyaizatsii laser radiation along and across fibers containing nanoparticles of sil-ver and gold. 3. To improve the reliability of identification of silver and gold nanoparticles on the fibers of the mathemati-cal modeling of data spectrograms their generalized mathematical expectations and generalized standard deviation , as well as generalized probabilities of con-tact lines of distribution is spectrograms. 4. To eliminate uncertainty and identify patterns in the distribution of the parameters evaluated spectrograms joint parameters spectrograms intensities depending on the wave number (frequency) components as spectro-grams with laser radiation along the grain and across the nanoparticles in the presence of silver and gold. 5. Estimated multidimensional parameters : the expec-tations , the average standard deviation of the spectral components of the fiber with silver and gold nanoparti-cles in the laser polarization and across the grain. 6. Evaluation of multivariate testing reliability and indetifikatsii nanoparticles on polyester fibers for max-imum probability of contact lines of data distributions and spectrograms components peaks intensities for fibers with silver and gold nanoparticles in the laser polarization and across the grain. 7. Revealed by mathematical models of control and da-ta reliability of proxy authentication silver and gold nanoparticles in the range of 0.2 to 0.999 over the en-tire range for each wave numbers with the polarization of the laser and across the grain, which indicates a high sensitivity of the method. 8. Reliable identification of nanoparticles of silver and gold at the control on the mean intensity spectrograms simultaneously across the entire range of wave num-bers gives lower values:  p1_0=0.813, p1Au_0=0.499, p1123AgAu_0=0.777, p1456AgAu_0=0.551, pp116AgAu_0= 0.774. 9. Processing mathematical models of control and iden-tification of nanoparticles of silver and gold with gener-alized parameter values for the distributions of the mean intensity spectrograms simultaneously across the entire range of wave numbers when assessing the like-lihood of the complete group of events gives the value generalized reliability 0.906. This value indicates the high reliability of the control and identification of na-noparticles of gold and silver on polyester fibers. 10. Determined by generalized parameter values com-mon to distributions over the entire range for each wave numbers, and generalized reliabilities control on reliability of identification of silver and gold nanoparti-cles in assessing the likelihood of the complete group of events. The range of values of reliability varies from a minimum of 0.976 to a maximum of 0.997.  REFERENCES  1. V.M. Emelyanov, T.A. Dobrovolskaya, V.V. Emelyanov, E.J. Orlov, Nanotechnics 2, 81(2013).  2. V.M. Emeljanov, T. Dobrovol’skaja, S. Danilova, V. Emeljanov, E. Orlov, Open J. Metal. 3 No3, 29 (2013). 3. V.M. Emelyanov, T.A. Dobrovolskaya, S.A. Danilova, V.V. Emelyanov, K.V. Butov, E.J. Orlov, J. Nano- Elec-tron. Phys. 5 No4, 04001 (2013). 4. V.M. Emelyanov, T.A. Dobrovolskaya, V.V. Emelyanov, E.J. Orlov, Fundamental Res. 10, 3310 (2013).  5. V.M. Emelyanov, T.A. Dobrovolskaya, S.A. Danilova, V.V. Emelyanov, Natural and Engineering Sciences 6, 415 (2013).  6. V.M. Emelyanov, T.A. Dobrovolskaya, S.A. Danilova, V.V. Emelyanov, K.V. Butov, E.J. Orlov, Science of Science 6, 58TVN613 (2013).   

Evaluation of Silver and Gold Nanoparticles on Polyester Fibers  by Fluorescent Polarization Raman Spectra

SocioEconomic Challenges Journal (Sumy State University)

JOURNAL OF NANO- AND ELECTRONIC PHYSICS ЖУРНАЛ НАНО- ТА ЕЛЕКТРОННОЇ ФІЗИКИ 
Vol. 6 No 3, 03068(5pp) (2014) Том 6 № 3, 03068(5cc) (2014) 
 
 
The article was reported at the International Conference «The Advanced Technology, Equipment and Analytical Systems for Materials», Kursk, 13-14 May, 2014 
2077-6772/2014/6(3)03068(5) 03068-1  2014 Sumy State University 
Evaluation of Silver and Gold Nanoparticles on Polyester Fibers  
by Fluorescent Polarization Raman Spectra 
 
V.M. Emelyanov*, T.A. Dobrovolskaya, I.A. Avilova, S.A. Danilova, V.V. Emelyanov, K.V. Butov, 
E.J. Orlov, A.S. Eskov, N.Y. Eskova 
 
Southwest state University, 94, 50 let Octyabrya Str., 305040 Kursk, Russia  
 
(Received 19 May 2014; revised manuscript received 01 July 2014; published online 15 July 2014) 
 
The results of the validation of identification nanoparticle colloidal silver and gold on the polyester  
fibers on the background component of the Raman spectra in the control based on the polarization charac-
teristics. The accuracy of identification of nanoparticles was evaluated by the joint probability of crossing 
normal scatter intensity distributions Raman spectrograms as silver nanoparticles and gold nanoparticles 
on polyester fibers, depending on the longitudinal and transverse polarization of the laser radiation on the 
entire range of wave numbers. Defined generalized parameter values common to distributions over the en-
tire range for each wave numbers with the polarization of the laser and across the grain, and generalized 
reliability of the control and identification of nanoparticles of silver, gold for assessing the likelihood of the 
complete group of events. Set the sensitivity of detection reliability. 
 
Keywords: Polyester fiber, Colloidal nanoparticles of silver and gold, Raman spectra, Polarization charac-
teristics of Raman spectroscopy, Mathematical modeling of the spectra, Background fluorescent compo-
nents of the Raman spectra, Accuracy of control, Probability of crossing the scatter of normal distributions. 
 
 PACS numbers: 02.60.Cb, 02.70.Rr 
 
 
                                                          
* emelianov@nm.ru. 
1. INTRODUCTION 
 
The polarization characteristics of the Raman scat-
tering of light or Raman spectroscopy can significantly 
increase the accuracy of identification for control nano-
particles are on the fibers of textiles. 
The work performed [1-6] allow us to estimate the 
presence of nanoparticles on polyester fibers, but define 
them as belonging to the silver or gold is difficult be-
cause of their small number. Increase the reliability of 
the use of multivariate methods allow estimation of 
reliability and vector-matrix correlation and autocorre-
lation polarization characteristics and components of 
the Raman spectra. 
 
2. DESCRIPTION OF THE SUBJECT AND 
METHODS OF RESEARCH 
 
2.1 Experimental Procedure 
 
In the experiment are chosen polyester ( PE) fibers, 
which were deposited on silver nanoparticles colloidal 
solution of silver nano AgBion-2 (TU 2499-003-
44471019-2006 Concern "Nanoindustry") and colloidal 
gold nanoparticle solution of gold nanoparticles (TU 
9154-001-93099853-06 NGOs Biotest). Of textile mate-
rials nanoparticles was carried out in the laboratory of 
the Chemistry Department of Southwest State Univer-
sity. Polyester fiber was chosen because of the small 
number of peaks – the main components of the Raman 
spectrum. As a result, there were obtained:  
– samples with silver nanoparticles measured with 
polarization along the fiber 1Ag, 2Ag and 3Ag; samples 
4Ag, 5Ag and 6Ag - with silver nanoparticles measured 
with polarization perpendicular to the grain; 
– samples with gold nanoparticles measured with 
polarization along the fibers 1Au, 2Au and 3Au; and 
samples with gold nanoparticles 4Au, 5Au and 6Au 
measured with polarization perpendicular to the grain. 
The measurements were performed with a scanning 
probe microscope (SPM) with a confocal Raman and 
fluorescence spectrometer OmegaScope ™. On each 
sample were measured with the polarization of the la-
ser beam and across the grain at the location of the 
fibers with the stage on the table microscope SPM. 
 
2.2 The Processing of the Experimental Data  
 
Translation Raman spectrograms of the program 
was carried out in Mathcad Spekwin32 through Excel 
compatible ASCII. As a result, the spectrograms were 
obtained polyester fibers E1Ag, E2Ag, E3Ag, E4Ag, 
E5Ag, E6Ag with silver nanoparticles and E1Au, E2Au, 
E3Au, E4Au, E5Au, E6Au with gold nanoparticles. The 
next step performed mathematical modeling back-
ground constituents from the separation in accordance 
with the procedure described in [1]. As a result, the 
values of background components A1 (X1), A2 (A2), A3 
(A3), A4 (X4), A5 (X5), A6 (X6) for fibers with silver 
nanoparticles and A1Au (XAu1), A2Au (XAu2), A3Au 
(XAu3), A4Au (XAu4), A5Au (XAu5), A6Au (XAu6) for 
fibers with gold nanoparticles. Fig. 1 and 2 show the 
spectrograms obtained for samples 1Ag, 4Ag, 1Au, 4Au.  
Estimation of parameters of the intensity distribu-
tion of the spectrograms of Fig. 1-2 performed using the 
program Mathcad. Respectively, were determined ex-
pectations spectra intensities nanochatsitsami silver 
fibers: ME123Agi, ME456Agi and gold nanoparticles: 
ME123Aui, ME456Aui, and standard deviations, re-
spectively: Agi, gi, Aui,  Aui. 
To quantify the differences you need to consider the 
accuracy of the control lines on the probability of con-
tact with tolerances coefficient yi: ME123i-yi 123i and 
 
 V.M. EMELYANOV, Т.А. DOBROVOLSKAYA, ET AL.  J. NANO- ELECTRON. PHYS. 6, 03068 (2014) 
 
 
03068-2 
 
  
 
Fig. 1 – Spectrogram Raman Raman scattering and background fluorescent components in the system MathCad:  
a – polarization along the PE fibers with silver nanoparticles; b – polarization across PE fibers with silver nanoparticles 
 
  
 
Fig. 1 – Spectrogram Raman Raman scattering and background fluorescent components in the system MathCad: a – polarization 
along the PE fibers with gold nanoparticles; b – polarization across PE fibers with gold nanoparticles 
 
ME456i-yi i, as well as for ME123Aui-
yAui 123Aui and ME456Aui-yAui ui, and 
combinations thereof. Contact lines detected in the 
simulation by determining the coefficients yi, so that 
the lines touch at one point for each of i = 0 ... n: 
yi:= (ME123Agi – ME456Agi ) / gi + 123Agi), 
yAui:= (ME123Aui – ME456Aui )/ Aui + Aui ),    
y123AgAui:=(ME123AgiME123Aui)  / gi + 
123Aui), 
y456AgAui:=(ME456Aui–ME456Agi)/ Aui + 
Agi ),                                                                      (1) 
y16i:=(ME123Agi–ME456Aui )/ ui + 123Agi (1) 
Estimation of reliability for silver nanoparticles car-
ried by the following expressions: 
p1i = 1 – pnorm(ME123Agi - yi . 123Agi, ME123Agi , 
123Agi), 
p2i = pnorm(ME456Agi + yi. gi, ME456Agi, 
gi).                                                                       (2) 
By equations (3) is estimated for the accuracy of the 
gold nanoparticles: 
p1Aui = 1 – pnorm(ME123Aui - yAui 123Aui, 
ME123Aui, 123Aui), 
p2Aui = pnorm(ME456Aui + yAui ui, ME456Aui, 
ui).                                                                      (3) 
Together silver and gold nanoparticles for polariza-
tion along the fiber is estimated accuracy of the follow-
ing expressions: 
p1123AgAui = 1 – pnorm(ME123Agi – 
y123AgAui 123Agi, ME123Agi , 123Agi), 
p2123AgAui = pnorm(ME123Aui+ y123AgAui ui, 
ME123Aui ui).                                                     (4) 
Equations (5) the accuracy of the estimated together 
silver and gold nanoparticles with polarization perpen-
dicular to the grain: 
p1456AgAui = 1 – pnorm(ME456Aui – 
y456AgAui 456Aui, ME456Aui , 456Aui), 
p2456AgAui = pnorm(ME456Agi + y456AgAui gi, 
ME456Agi , gi).                                 (5) 
Silver nanoparticles together with polarization 
along the fibers and gold nanoparticles with polariza-
tion perpendicular to the grain is estimated accuracy of 
the following: 
p116AgAui = 1 – pnorm(ME123Agi – y16i 123Agi, 
ME123Agi , 123Agi), 
p216AgAui = pnorm(ME456Aui + y16i ui, 
ME456Aui , ui).                                                  (6) 
 
3. DESCRIPTION AND ANALYSIS OF RESULTS 
 
Determine the reliability of the results from the expressions 
(1) - (6) are shown in Figure 3-4. 
 
 
а b 
а b 
 EVALUATION OF SILVER AND GOLD NANOPARTICLES… J. NANO- ELECTRON. PHYS. 6, 03068 (2014) 
 
 
03068-3 
   
 
Fig. 3 – The accuracy of identification when joint control presence of nanoparticles of silver and gold: a – silver and gold nanopar-
ticles for polarization along the fiber; b – silver and gold nanoparticles with polarization perpendicular to the grain; c - silver na-
noparticles for polarization along the fibers and gold nanoparticles with polarization perpendicular to the grain 
 
  
  
 
Fig. 4 – Reliability of identifying the presence of nanoparticles in the control of silver and gold in the local areas of the range of wave 
numbers: a - silver nanoparticles for polarization along and across the grain in the range of wave numbers E1Agi, 0 = 1240 1740 cm -1; 
b - silver nanoparticles for polarization along and across the grain in the range of wave numbers E1Agi, 0 = 2870  3110 cm-1; 
c - gold nanoparticles for polarization along and across the grain in the range of wave numbers E1Agi, 0 = 1240  1740 cm -1; d - gold 
nanoparticles for polarization along and across the grain in the range of wave numbers E1Agi, 0 = 2870  3110 cm-1 
 
The accuracy of the identification of silver and gold 
nanoparticles with control showed high values in local 
areas of the range of wave numbers up to 0.994. How-
ever, the accuracy of the identification of silver and 
gold nanoparticles with control on the mean intensity 
spectrograms simultaneously across the entire range of 
wave numbers gives lower values: p1_0=0.813, 
p1Au_0=0.499, p1123AgAu_0=0.777,  
p1456AgAu_0=0.551,  pp116AgAu_0= 0.774. 
Therefore, it was simulated authenticity identifica-
tion of silver and gold nanoparticles by assessing the 
likelihood of the complete group of events: 
а b c 
а b 
c d 
 V.M. EMELYANOV, Т.А. DOBROVOLSKAYA, ET AL.  J. NANO- ELECTRON. PHYS. 6, 03068 (2014) 
 
 
03068-4 
p i = 1- (1 – p123Agi) (1 – p1Aui), min(p i) = 0.976, 
mах(p i) = 0.997; 
 p 0=1-(1-0.813) (1–0.5),    p 0=0.906.                          (7) 
The results of the validation by model (7) are shown 
in Figure 5. 
 
 
 
 
Fig. 5 – Authenticity of identification with the joint control of 
nanoparticles of silver and gold on a full assessment of the 
probability of an event group: a - normal scale of spectrogram 
reliability; b - zoomed spectrogram reliability 
 
Therefore, the accuracy of identification was evalu-
ated nanoparticles of silver and gold on local areas and 
peaks  (Table 1). 
For wavenumbers E1Agi,0 = 1240  1740 cm-1 fibers 
with silver nanoparticles  the accuracy of the identifica-
tion of high p123Agi = 1.000 when compared to the lon- 
gitudinal and transverse ME123Agi ME456Agi 
components because the longitudinal component 
ME123Agi intensity much more transverse ME456Agi, 
and the average standard deviation gi 50 times 
less ME123Agi. 
In the region of wave numbers E1Agi,0 = 2870  
3110 cm-1 for silver nanoparticles  the accuracy of the 
identification of high 1 - p123Agi = 1.000 (p123Agi = 
0.000) between the transverse and longitudinal 
ME456Agi ME123Agi components, due to the fact that 
the transverse component ME456Agi intensity much 
more longitudinal ME123Agi. Standard deviation 
gi 10 times less ME123Agi. 
For gold nanoparticles in the region of wave num-
bers E1Aui,0 = 1240  1740 cm -1 identification accuracy 
of the lowest p1Aui <0.500 when assessing longitudinal 
and transverse ME123Aui ME456Aui components. This 
is due to the fact that the transverse component 
ME456Aui intensity slightly more longitudinal 
ME123Aui, and the average standard deviation 
ui comparable ME123Aui. 
The accuracy of identification for gold nanoparticles 
is not very high 1 - p123Aui  0.800 (p123Aui  0.200) 
with the transverse and longitudinal ME456Aui 
ME123Aui components in the wave-number E1Aui, 0 = 
2870  3110 cm-1 due to the fact that the transverse 
component ME456Aui intensity a little more longitudi-
nal ME123Aui, and standard deviations ui less 
ME123Aui. 
Data reliability of the control and proxy authentica-
tion nanoparticles of silver and gold, identified by 
mathematical models (1-6) are in the range of from 0.2 
to 0.997 over the entire range for each wave numbers 
with the polarization of the laser and across the grain . 
It shows high sensitivity detection reliability 
.According to the model (7) are defined generalized pa-
rameter values common to distributions over the entire 
range for each wave numbers, and generalized reliabil-
ity of the control and identification of nanoparticles of 
silver and gold on a full assessment of the probability of 
an event group . In this case, the validity range is 
changed from a minimum value 0.976  to a maximum 
0.997. The accuracy of the identification of silver and 
gold nanoparticles with control on the mean intensity 
spectrograms simultaneously across the entire range of 
wave numbers, taking into account estimates of the 
probability of the complete group of events (7) gives a 
high confidence value 0.906. 
 
4. CONCLUSIONS  
 
1. Due to the large scatter in the values of parameters 
in the control information of silver and gold nanoparti-
cles on polyester fibers and considerable uncertainty in 
the laws of their manifestation of the most highly relia-
ble control of the presence of nanoparticles and their 
identification method of accounting gives the polariza-
tion of the laser radiation and across the grain with the 
identification of background fluorescent components. 
 
 
Table 1 - Reliability of identification of nanoparticles under control by peaks 
 
E1Agi,0 861.11 999.30 1091.0 1176.0 1283.0 1406.0 1598.0 1713.0 2949.0 3057.0 
ME123Agi 882.97 391.68 844.46 166.01 2046.0 360.77 4435.0 2386.0 364.22 298.02 
ME456Agi 1265.00 37.969 735.91 307.89 841.05 71.191 639.42 1521.0 878.95 1280.0 
p123Agi 0.0455 1.000 0.784 0.009 1.000 1.000 1.000 1.000 0.000 0.000 
ME123Aui 762.09 190.26 600.24 133.79 1253.0 212.85 2696.0 1617.0 365.30 450.17 
ME456Aui 1132.00 297.99 844.46 261.58 1776.0 296.45 3556.0 2615.0 574.41 699.90 
p1Aui 0.316 0.409 0.355 0.192 0.410 0.426 0.436 0.358 0.178 0.225 
а 
b 
 EVALUATION OF SILVER AND GOLD NANOPARTICLES… J. NANO- ELECTRON. PHYS. 6, 03068 (2014) 
 
 
03068-5 
2. A method for determining the reliability of the con-
trol of nanoparticles to determine the parameters of the 
laws of the intensity distribution of the Raman spec-
trum for each value in the whole range of wave num-
bers for spektogramm at polyaizatsii laser radiation 
along and across fibers containing nanoparticles of sil-
ver and gold. 
3. To improve the reliability of identification of silver 
and gold nanoparticles on the fibers of the mathemati-
cal modeling of data spectrograms their generalized 
mathematical expectations and generalized standard 
deviation , as well as generalized probabilities of con-
tact lines of distribution is spectrograms. 
4. To eliminate uncertainty and identify patterns in the 
distribution of the parameters evaluated spectrograms 
joint parameters spectrograms intensities depending on 
the wave number (frequency) components as spectro-
grams with laser radiation along the grain and across 
the nanoparticles in the presence of silver and gold. 
5. Estimated multidimensional parameters : the expec-
tations , the average standard deviation of the spectral 
components of the fiber with silver and gold nanoparti-
cles in the laser polarization and across the grain. 
6. Evaluation of multivariate testing reliability and 
indetifikatsii nanoparticles on polyester fibers for max-
imum probability of contact lines of data distributions 
and spectrograms components peaks intensities for 
fibers with silver and gold nanoparticles in the laser 
polarization and across the grain. 
7. Revealed by mathematical models of control and da-
ta reliability of proxy authentication silver and gold 
nanoparticles in the range of 0.2 to 0.999 over the en-
tire range for each wave numbers with the polarization 
of the laser and across the grain, which indicates a high 
sensitivity of the method. 
8. Reliable identification of nanoparticles of silver and 
gold at the control on the mean intensity spectrograms 
simultaneously across the entire range of wave num-
bers gives lower values:  p1_0=0.813, p1Au_0=0.499, 
p1123AgAu_0=0.777, p1456AgAu_0=0.551, 
pp116AgAu_0= 0.774. 
9. Processing mathematical models of control and iden-
tification of nanoparticles of silver and gold with gener-
alized parameter values for the distributions of the 
mean intensity spectrograms simultaneously across the 
entire range of wave numbers when assessing the like-
lihood of the complete group of events gives the value 
generalized reliability 0.906. This value indicates the 
high reliability of the control and identification of na-
noparticles of gold and silver on polyester fibers. 
10. Determined by generalized parameter values com-
mon to distributions over the entire range for each 
wave numbers, and generalized reliabilities control on 
reliability of identification of silver and gold nanoparti-
cles in assessing the likelihood of the complete group of 
events. The range of values of reliability varies from a 
minimum of 0.976 to a maximum of 0.997. 
 
REFERENCES 
 
1. V.M. Emelyanov, T.A. Dobrovolskaya, V.V. Emelyanov, 
E.J. Orlov, Nanotechnics 2, 81(2013).  
2. V.M. Emeljanov, T. Dobrovol’skaja, S. Danilova, 
V. Emeljanov, E. Orlov, Open J. Metal. 3 No3, 29 (2013). 
3. V.M. Emelyanov, T.A. Dobrovolskaya, S.A. Danilova, 
V.V. Emelyanov, K.V. Butov, E.J. Orlov, J. Nano- Elec-
tron. Phys. 5 No4, 04001 (2013). 
4. V.M. Emelyanov, T.A. Dobrovolskaya, V.V. Emelyanov, 
E.J. Orlov, Fundamental Res. 10, 3310 (2013).  
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V.V. Emelyanov, Natural and Engineering Sciences 6, 415 
(2013).  
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Evaluation of Silver and Gold Nanoparticles on Polyester Fibers by Fluorescent Polarization Raman Spectra

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