For the simultaneous determination of two or more active compounds in the same mixtures without a separation step, several spectrophotometric methods, such as classical derivative spectrophotometry [14], Vierordts method [5] and its modified version [6], orthogonal function method [7], dual wavelength spectrophotometry [810], pH-induced differential spectrophotometry [11], the least square method [12], the multicomponent analysis program [13, 14] and a method, and multiwavelength linear regression analysis (MLRA) which was referred to by Blanco and co-workers [15] have been utilized. x\[$
~_[|m2%oB6?*_Cd|%,WqZk_?/_q3'"?m7q[-
o~z^:.gto@_w$A~!i@cRxgR })&.I{EXYEy4c%|_~iiQ3{5a "N l The pharmaceutical industry and the National Regulatory Authorities are now focusing on the quantification of multi-component drugs for quality control testing. where \(\Delta n_X\) is the moles of X added and \(n_X^0\) is the initial amount of analyte in the sample. 12, pp. View. 140141, 1978. Solving for CFe gives the concentration of Fe3+ as \(1.8 \times 10^{-5}\) M. Substituting this concentration back into the equation for the mixtures absorbance at 396 nm gives the concentration of Cu2+ as \(1.3 \times 10^{-4}\) M. Let's consider the example of a mixed Co and Cr solution (similar to the unknown solutions you will analyze in this lab module). The best working wavelengths selected at 258.5, 241.5, and 256nm for determination of paracetamol, aspirin, and caffeine, respectively. J. J. Atkins, Peter and Julio de Paula. Second, because we measure the signal for several concentrations of analyte, we no longer must assume that the response (\(\varepsilon\) in this case) is independent of the analytes concentration. Figure 3.4.1 848850, 1970. According to the theory [16], the concentrations of double divisors should be equal, but the slope of the calibration graphs proportionally decreased by increasing concentrations of divisors (Figure 8). Spectrophotometric analysis; in-house: Oxalic acid: g/100 g: 0.148: 0.189: 0.087: 0.085: 0.082: GLC-FID; in-house . A plot of Sstd versus Cstd is called a calibration curve. Fresenius' Journal of Analytical Chemistry For example, suppose we have a sample containingtwo analytes, X, and Y in a complex matrix where matrix effects are unknown; and suppose we want to determine the concentrations of [X] and [Y] in the sample. 3 0 obj << It is easy to show that the slope is related to the response of the analyte in the given matrix (\(k_A\) and thatx-intercept is related to the concentration of the analyte \(C_A\); the x-intercept is equivalent to \(\frac{C_A V_o}{C_{std}}\) in the case of plot (a)or \(\frac{C_A V_o}{V_f}\) in the case of plot (b) (seeFigure 3.4.6 We will focus on standard addition by adding standard analyte solution directly to the sample, measuring the signal both before and after the spike (Figure 3.4.5 Because Equation \ref{10.1} includes terms for the concentration of both X and Y, the absorbance at one wavelength does not provide enough information to determine either CX or CY. A standard binary mixture of analytes added to the unknown sample and recorded its spectrum. rTuzd:Ok2N_G%NiF%8eRHD~& 5JvD6+6 ,UJP&yHB] |4>N$wVKkr 94 x 10-3 M respectively. However, this was given, therefore reduced error of readings. From the measured absorbance of the mixture at each wavelength, you will have a system of two equations in two unknowns which can be algebraically solved for the molar concentrations of the two ions . Also, in (7), the derivative signal of the ratio spectrum of the ternary mixture is dependent only on the concentration values of PAR and , but is independent of the concentration values and in the ternary mixture. The relative standard deviation values are in the range of 0.58 to 5.73%. You do not have JavaScript enabled. This paper discusses the requirements and scope of application of the H-Point Standard Additions Method (HPSAM) for resolving binary mixtures. 148, pp. It is a term that refers to the quantitative analysis of spectra to compare the relative absorption or emission of different wavelengths of light. The ratio of the sum of and to the sum of and is equal to a constant with respect to , in a certain region or point of wavelength. We use a one-step modeling of both . a grinderAbout 20 mg samples were weighted and put into a 2 mL tubethen added with 1.5 mL extraction solutiona mixture of methanol and water with volume ratio . M. Blanco, J. Gene, H. Iturriaga, S. Maspoch, and J. Riba, Diode-array detectors in flow-injection analysis Mixture resolution by multi-wavelength analysis, Talanta, vol. Second, our experimental value for each \(\varepsilon\) is based on a single concentration of analyte. 1), which is the optimum absorbance for permanganate. This study assessed the adverse effects of co-exposure to PP MPs and heavy metal mixture (Cu2 . "Spectrophotometry" is the method used by the spectrophotometer for measuring the amount of light absorbed by any chemical . Pesticide residue on vegetables constitutes a potential risk to human health. The amount of ASP was determined by measuring the amplitude at 241.5nm corresponding to a minimum in the first derivative of the ratio spectra in the spectral region selected (Figure 5). To measure the absorbance of the prepared working standards of dichromate and permanganate using a spectrophototometer iii. Title:Spectrophotometric analysis of a two-component mixture Aim: i. We use cookies to give you the best experience possible. The concentrations of active compounds are then determined from the calibration graphs obtained by measuring the amplitudes at points corresponding to the minimum or maximum wavelengths. al 2006) Derivative spectrophotometric analysis of two component mixtures is also carried out without the need Replicative determination of paracetamol, aspirin, and caffeine in some ternary mixtures by double divisor-ratio spectra derivative method. 595608, 1960. 5, pp. Eor example, the analysis of a two-component mixture can be accomplished if there is a difference between the absorbance of the two metal-ligand complexes (Eigure 9. The authors gratefully acknowledge the support of this work by Islamic Azad University of Gachsaran and the assistance of Farabi Pharmaceutical Company for donation of pure compounds. General method, Analytica Chimica Acta, vol. Shown below the volumetric flasks is the resulting calibration curve. Irwin H. Segel, Biochemical Calculations (How to Solve Mathematical Problems in General Biochemistry), 2nd edition, John Wiley & Sons, 1975. The personal judgement of the correct evaluation of the balance point is eliminated. These coinciding points of the derivative of the ratio spectra can be selected as working wavelengths for the determinations of the subject compounds in the ternary mixture. hR!="f; r~ Verle Walters In either case, a calibration curve allows us to relate Ssamp to the analytes concentration. Chang, Raymond. The spectra of the ternary mixture after addition of standards ASP, CAF, and PAR in the same mole ratios in the concentration range of 1060, Double divisor of the ratio spectra for a ternary mixture of aspirin, caffeine, and paracetamol after simultaneous standard addition of three components in the concentration range of 1060, First-derivative double divisor-ratio spectra for a ternary mixture of aspirin, caffeine, and paracetamol after simultaneous standard addition of three components in the concentration range of 1060, Standard addition plot for the derivative of double divisor-ratio spectra for a mixture of ASP (50, Effect of pH on the sensitivity (a) and selectivity (b) of the spectra of ASP, CAF, and PAR. To prepare working standards of dichromate and permanganate ii. =7M]Z\.C_:q /]}? All of the recoveries in real samples were satisfactory in the range of 94.0% to 106.0%. The spectrum of unknown sample recorded in the wavelength range of 220 to 320nm. In order to evaluate the applicability of the proposed method for the determination of PAR, ASP, and CAF in real samples, the utility of the developed method was tested by determining of the compounds in several model (mixed) samples (Table 2) and pharmaceutical formulations (Table 3). Figure 12.2.8 is the chromatogram for a two-component mixture. The LibreTexts libraries arePowered by NICE CXone Expertand are supported by the Department of Education Open Textbook Pilot Project, the UC Davis Office of the Provost, the UC Davis Library, the California State University Affordable Learning Solutions Program, and Merlot. There are two advantages to a multiple-point standardization. please go to the Copyright Clearance Center request page. The better way to standardize a method is to prepare a series of standards, each of which contains a different concentration of analyte. The present study describes a new accurate and precise stability indicating reverse phase HPLC method for quantitative computation of pantoprazole sodium and Aspirin from physical simulated mixture. ,&}O&m9x Substituting into Equation \ref{10.1} and Equation \ref{10.2} gives, \[A_{400} = 0.336 = 15.2C_\text{Cr} + 5.60C_\text{Co} \nonumber\], \[A_{400} = 0187 = 0.533C_\text{Cr} + 5.07C_\text{Co} \nonumber\], To determine CCr and CCo we solve the first equation for CCo, \[C_{\mathrm{Co}}=\frac{0.336-15.2 \mathrm{C}_{\mathrm{Co}}}{5.60} \nonumber\], \[0.187=0.533 C_{\mathrm{Cr}}+5.07 \times \frac{0.336-15.2 C_{\mathrm{Co}}}{5.60} \nonumber\], \[0.187=0.3042-13.23 C_{\mathrm{Cr}} \nonumber\]. The concentrations of three compounds in their mixture are determined by using their respective calibration graphs which are obtained by measuring the amplitude at either the maximum or minimum wavelengths selected. 1, pp. The method was applied for the assay of Excedrin containing paracetamol, aspirin, and caffeine. This work concerns with development of spectrophotometric methods for analysis of Metronidazole, Diloxanide Furoate and Mebeverine HCl. >> B. Nevado, and M. A. Espinosa, A new spectrophotometric method for quantitative multicomponent analysis resolution of mixtures of salicylic and salicyluric acids, Talanta, vol. 175, pp. Spectrophotometric Analysis of a Two-Component System with Overlapping Spectra by Walter Rohr A number of methods have been developed to determine the composition of a binary . Principles and Problems in Physical Chemistry for Biochemists. xYK6-mY|u6[r$9$9%u7j' %rr" $ products, bronchial and cardiac stimulants, and also These four drugs show severe spectra overlapping which medications for the treatment of acne and other skin hinders UV . Abstract: A pH-meter (Metrohm, Model 827) with a double junction glass electrode was used to adjust the pH of the solutions. Two-component Mixture Wavelength, nm 280 300 320 340 360 380 400 420 Absorbance 0.0 0.2 0.4 0.6 0.8 1.0 1.2 1.4 component A component B mixture In the situation shown in this figure, it is not easy to measure the absorbance of one component without the other component interfering in the measurement. , the slope of the line gives the value of \(b\varepsilon\) (where \(b\) is path length) This is the most desirable situation because the methods sensitivity remains constant throughout the analytes concentration range. 63 0 obj
<>/Outlines 59 0 R/Metadata 69 0 R/AcroForm 65 0 R/Pages 25 0 R/OpenAction[1 0 R/XYZ null null 0]/Type/Catalog>>
endobj
59 0 obj
<>
endobj
69 0 obj
<>stream
To measure the absorbance of the prepared working standards of dichromate and permanganate using a spectrophototometer iii. /Length 2290 Firstly, instrumental error could have been a factor, therefore giving a flawed reading of absorbance than will later result in inaccurate concentration calculations. q_Kmq!K&lDLG In the present research, a sensitive, selective, accurate, and inexpensive procedure was applied for simultaneous determination of paracetamol (PAR), aspirin (ASP), and caffeine (CAF) by double divisor-ratio spectra derivative method with simultaneous standard additions of three analytes. 91A100A, 1979. Determine the retention factor for each solute assuming the sample was injected at time t = 0. These coinciding points of the derivative of the ratio spectra can be selected as working wavelengths for the determinations of the subject compounds in the ternary mixture. And, byplotting \(\Delta (VA_{\lambda_2})\) at the second wavelength vs \(\Delta n_X\) we can determine the molar response factor of X at the second wavelength (\(\varepsilon_{\lambda_2}\)). Effect of double divisor concentrations on the slopes of the calibration curves of (a) ASP, (b) CAF, and (c) PAR. From the spectra of the standards, we can see that 400 nm is a reasonable choice for one of the wavelengths because it is a point of maximum absorption for \(\ce{Cr^3+}\), and \(\varepsilon_{Cr}\) > \(\varepsilon_{Co}\).
More dilute solutions were prepared by serial dilutions with double distilled water. 24 (3) 2019 55 Fig. A 1.0 103molL1 aspirin solution was prepared daily by dissolving 0.0090g of ASP (99.5%) in ethanol (96%) and diluted in a 100mL volumetric flask. Learn more about Institutional subscriptions, Brown SD, Barker TQ, Lerivee RJ, Monfre SL, Wilk HR (1988) Anal Chem 60:252R, Osten DW, Kowalski BR (1985) Anal Chem 57:908, Warner IM, Davidson ER, Christian GD (1977) Anal Chem 49:2155, Martens H (1985) Dr Techn Thesis, University of Trondheim, Norway, Saxberg BEH, Kowalski BR (1979) Anal Chem 51:1031, Bershtein IY (1988) Fresenius Z Anal Chem 332:227, Blanco M, Iturriaga H, Maspoch S, Tarin P (1989) J Chem Educ 66:178, Lin S, Koening JL (1987) Anal Chem 59:2609, Caruaca RA, Searle RB, Heller T, Shupack SI (1986) Anal Chem 58:1162, Sanchez Rojas F, Bosch Ojeda C, Cano Pavon JM (1988) Talanta 35:753, Bosch Reig F, Campns Falc P (1988) Analyst 113:1011, Bosch Reig F, Campns Falc P (1990) Analyst 115:111, Svehla G (ed) (1986) Comprehensive analytical chemistry v XIX. Wvj?t=49WTK3i9I~IlQlJLi9H Method (II) is hybrid double divisor ratio spectra (HDDR) which depends on convolution of the double . Where \(\varepsilon_{X_{\lambda_1}}\) is the response factor(aka sensitivity,molar extinction coefficient, or the molar absorptivity) for component X at \(\lambda_1\), and\(\varepsilon_{Y_{\lambda_1}}\) is the response factor for component Y at\(\lambda_1\). where is the absorbance of the mixture at wavelength , and , , and are the absorptivities of PAR, ASP and CAF, respectively. Component Analysis of Elaeagnus Angustifolia L. Flowers on Different Flowering Stages Based on UPLCQTOF MS Technology Combined with Chemometric Data Analysis Strategy . This is the method you will use to quantitate two components of a mixture (egCo and Cr) that have overlapping spectral features (see Figure 3.4.1) and when matrix effects are suspected. Although the molar absorptivity varied, the absorbance of a species is more dependent on its concentration and pathlength than molar absorptivity as it is an intrinsic value. The same follows for analyte Y. There is a serious limitation, however, to an external standardization. 3.2.3 Spectrophotometry. XZ7Zia6faU`JApf$^l/g7nw&p$gy,7Jo*;%%K4o hO&Ej To extend this value of \(\varepsilon\) to other concentrations of analyte requires that we assume a linear relationship between the signal and the analytes concentration, an assumption that often is not true [Cardone, M. J.; Palmero, P. J.; Sybrandt, L. B. Anal. & Benet, A.M. Spectrophotometric analysis of mixtures of two components with extensively or completely overlapping spectra by the H-point standard additions method. Various mixtures of dyes with extensively or completely overlapping spectra were assayed with accurate, precise results. In the following, the effective parameters involving pH, working wavelengths, and double devisor concentrations studied on the accuracy of the proposed method. The initial volume-corrected absorption, \(V^0A^0\) (Equation \ref{2}) can be factoredfrom Equation \ref{3} to give the change in absorbance upon standard addition: \[\Delta (VA_{\lambda_1}) = V^iA_{\lambda_1}^i - V^0A_{\lambda_1}^0 = \varepsilon_{X_{\lambda_1}} b(\Delta n_X) + \varepsilon_{Y_{\lambda_1}} b (\Delta n_Y) \label{4}\]. Legal. In this research, simultaneous standard additions of three compounds of PAR, ASP, and CAF into the ternary mixture presented, and the analysis of PAR, ASP and CAF is also applicable using the doubled divisor-ratio derivative method for the first time. Y. R. Tahboub and H. L. Pardue, Evaluation of multiwavelength first- and second-derivative spectra for the quantitation of mixtures of polynuclear aromatic hydrocarbons, Analytical Chemistry, vol. L. Heilmeyer, Spectrophotometry in Medicine, Adam Hilger, London, UK, 1943. To approximately 1.0mL of sample solution in a 10.0mL volumetric flask, 1.0mL B-R buffer (pH 11.0) is added, and the final volume was diluted to the mark with double distilled water after successive standard additions of the three components (PAR, IBU, and CAF) at the same mole ratio. By continuing well assume you board with our, Analysis of a Chemical Mixture Using the Ideal Gas Law, A Study of Heavy Metal Pollution Cd in the Aquatic Environment of Mumbai by Spectrophotometric Method, Case Study Purchase Price Just One Component Of Cost, How to secure financing as a small business owner, How to Make a Business Plan for Any Business, 7 Crucial Macro Environment Factors to Include in Your Analysis, Macro Environment Examples in the Real World. A. L. Glenn, The use of orthogonal functions to correct for irrelevant absorption in two component spectrophotometric analysis, The Journal of Pharmacy and Pharmacology, vol. 305310, 1972. Spectrophotometric Analysis of a Two-Component Mixture Analytical Chemistry 20 subscribers Subscribe 6 Share 574 views 2 years ago Show more Show more Try YouTube Kids Learn more Comments are. %PDF-1.6
%
Instrumental error is difficult to eliminate, however, ensuring that the solutions are concentrated enough to give a good absorbance reading can assist in minimizing such error. Because the absorbance at each wavelength is dominated by one analyte, any uncertainty in the concentration of the other analyte has less of an impact. Once the absorbance at the maximum absorbance wavelength for both components is known, the molar absorbance coefficients canbe calculated. For a two-component mixture (compound X and Y) with overlapping absorbances, you can solve for the concentration of each species, [X] and [Y], by measuring the absorbances at two different wavelengthts, ' and ". There are two reasons for this. endstream
endobj
65 0 obj
<>/Encoding<>>>>>
endobj
25 0 obj
<>
endobj
1 0 obj
<>/MediaBox[0 0 612 792]/Resources 58 0 R/Type/Page>>
endobj
2 0 obj
<>stream
New York: Oxford University Press, 2000. Copyright 2013 Reza Hajian and Ahmad Soltaninezhad. Method (I) is double divisor ratio spectra derivative method (DDRD) which depends on using derivative signals of the ratio spectra using double divisor. >> endobj By plotting \(\Delta (VA_{\lambda_1})\) at one wavelength vs \(\Delta n_X\) we can determine the molar response factor of X at that wavelength (\(\varepsilon_{\lambda_1}\)). My measurements are 7.8 mm, 40.2 mm, and 51.5 mm . /Filter /FlateDecode S. Shibata, M. Furukawa, and K. Goto, Dual-wavelength spectrophotometry. R. G. Ratcliffe. Derivative spectrophotometric determination of antiprotozoal drugs in two- component tablet preparation. 987993, 1987. Paracetamol, aspirin, and caffeine were kindly provided by the Iranian Pharmaceutical Companies (Tehran, Iran). Nojun Kwak GM-NeRF: Learning Generalizable Model-based Neural Radiance Fields from Multi-view Images By making working standards of each individually and measuring the absorbance at 525 and 430 nm with a UV-VIS spectrophotometer, the concentrations of MnO-4 and Cr2O72- in a mixture of the two were measured. A spectrophotometer measures the monochromatic radiation and it is under this amount of radiant energy absorbed by a restraint that the linear dependence of species. stream 2, pp. X B3-4 - AUC After being mixed completely, the solution was diluted to the mark with ethanol. Spectrophotometric Analysis of a Two-Component System . The calibration plots were linear in the ranges of 0.4320.0molL1, 0.8160.0molL1, and 0.4260.0molL1, respectively, for PAR, ASP, and CAF with the correlation coefficients of 0.9979, 0.9999, and 0.9991. Answer. The main problem of spectrophotometric binary mixture analysis is the simultaneous determination of the two compounds in the same mixture without prior separation. 53, no. Figure 3.4.6 Determination of aspirin, caffeine, and paracetamol in some ternary mixtures. A method based on the compensation technique is presented for the derivative spectrophotometric determination of binary mixtures with overlapping spectra. ;P#b`GlGZihIzVatW0&
/6+",;
f dwzsTpfZ.Wf Z(. Title: Spectrophotometric analysis of a two-component mixture. To check the reproducibility of the proposed method, three replicate experiments for the determination of paracetamol, aspirin, and caffeine in ternary mixtures have been designed (Table 1). ABSTRACT The focus of this experiment is to utilize a spectrophotometer to calculate the concentration of a multi-component mixture. To request permission to reproduce material from this article, please go to the
Analyst, 1992,117, 785
Welcome to the world of case studies that can bring you high grades! 2 at 2 (501.3 nm)=0.771 AU. The good recoveries of the spiked samples are indicative of the successful applicability of the proposed method for simultaneous determination of paracetamol, aspirin, and caffeine. Analytical grade phosphoric acid, boric acid, acetic acid, and sodium hydroxide were supplied from Merck (Darmstadt, Germany). 347351, 1990. 1985, 62, 541542]. Conclusion: The concentration of permanganate and dichromate ions were calculated in a two-component mixture and calculations showed that the concentration of permanganate and dichromate was 0. Anyone you share the following link with will be able to read this content: Sorry, a shareable link is not currently available for this article. 39, no. The volumetric flask on the left contains a reagent blank and the remaining volumetric flasks contain increasing concentrations of Cu2+. Educ. . Read more about how to correctly acknowledge RSC content. Spectrophotometric Analysis of a Two-Component System with Overlapping Spectra by Walter Rohr A number of methods have been developed to determine the composition of a binary mixture spectrophotometrically. 2008-03-11T14:31:23-07:00 As standards are added to the sample to create the calibration, the moles of analyte will change by \(\Delta n_x\) and \(\Delta n_y\), and the new volume-corrected absorption for any point on the calibration would be: \[V^iA_{\lambda_1}^i = \varepsilon_{X_{\lambda_1}} b(\Delta n_x+ n_X^0) + \varepsilon_{Y_{\lambda_1}} b (\Delta n_Y + n_Y^0) \label{3}\]. Fresenius' Journal of Analytical Chemistry. In the application of this method, the first derivative of the ratio spectra of pure compound and its ternary mixture would be coincided in the spectral region corresponding to a maximum point or a minimum point of the wavelength as shown in Figure 7. . The contamination of agricultural products, such as vegetables, by pesticide residues has received considerable attention worldwide. Aim: i. The R2 value obtained for each regression line showed that there was a strong goodness of fit and there was not much variation. The corresponding values obtained were 0.46, 0.53, and 0.68molL1 for PAR, ASP, and CAF, respectively. 2.1.5: Spectrophotometry is shared under a CC BY-NC-SA 4.0 license and was authored, remixed, and/or curated by LibreTexts. 15, pp. 1980, 52, 11871191]. If two filament) that emits a continuous range of or more species in a sample absorb at a wavelengths. In these chemometric techniques, the measu Price, Nicholas and Dwek, Raymond and Wormald, Mark. When a sample that contains Fe3+ and Cu2+ is analyzed in a cell with a pathlength of 1.00 cm, the absorbance at 550 nm is 0.183 and the absorbance at 396 nm is 0.109. This is known as the method of standard additions. 2023 Springer Nature Switzerland AG. B^:;qy$18{m[4{88)`MSk;}4wKqq]x,|gB-v=TsRj5:{h&:~@ To determine ASP in the presence of PAR and CAF, the absorption spectra of the ternary mixture, after successive standard additions of three components, were prepared (Figure 2) and divided by the spectrum of the standard mixture solution of PAR and CAF (2.0molL1 each in B-R buffer), and the ratio spectra were plotted (Figure 3). Double divisor-ratio spectra derivative method based on the spectrophotometric data was developed for the simultaneous analysis of a ternary mixture containing paracetamol, aspirin, and caffeine, without prior separation. Solving for CCr gives the concentration of Cr3+ as \(8.86 \times 10^{-3}\) M. Substituting this concentration back into the equation for the mixtures absorbance at 400 nm gives the concentration of Co2+ as \(3.60 \times 10^{-2}\) M. The example immediately above used a single point standardization of [Co] and [Cr]. (pp. 26 0 obj << Solid lipid nanoparticles for thermoresponsive targeting: evidence from spectrophotometry, electrochemical, and cytotoxicity studies Mubashar Rehman,1-3 Ayesha Ihsan,2 Asadullah Madni,1 Sadia Zafar Bajwa,2 Di Shi,3 Thomas J Webster,3,4 Waheed S Khan2 1Department of Pharmacy, The Islamia University of Bahawalpur, Bahawalpur, Punjab, Pakistan; 2Nanobiotech Group, National Institute of . These solutions were kept in a refrigerator at 4C in dark. A. M. Wahbi, F. A. El-Yazbi, M. H. Barary and S. M. Sabri,
There are several methods of standard addition, and some are described in detail in 5.3: Determining the Sensitivity by David Harvey. In Figure 3.4.6 2, pp. W])d3n[koESoo&U8WXr^66=u]6l9vx81v-
4/w|LB}kNk~Mwo(y!q'CWMN WM:%Q7A^Z4P=C^Cx:> endobj 2.1: Experimental Determination of Kinetics, { "2.1.01:_Continuous_Flow" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.
- ホーム
- how bright is 30000 lumens
- 4l60e torque converter bolts
- spectrophotometric analysis of a two component mixture
spectrophotometric analysis of a two component mixtureコメント
この記事へのトラックバックはありません。
この記事へのコメントはありません。