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Preconcentration and Determination of Copper(II) Using Octadecyl Silica Membrane Disks Modified by 2-Propylpiperidine-1-carbodithioate and Flame Atomic Absorption Spectrometry

2-Propylpiperidine-1-carbodithioate로 수식화한 Octadecyl 실리카 막으로 구리(II)의 예비농축 및 불꽃 원자흡수분광법으로의 정량

  • Moghimi, Ali (Department of Chemistry, Varamin Campus Islamic Azad University) ;
  • Mossalayi, Haydar (Department of Biology, Varamin Campus Islamic Azad University)
  • Published : 2008.04.20

Abstract

A simple and fast method for extraction and determination of trace amounts of copper(II) ions using octadecyl-bonded silica membrane disks modified with 2-propylpiperidine-1-carbodithioate (PPCD)I and atomic absorption spectrometry (AAS) is introduced. Extraction efficiency and the influence of flow rates, pH, and type and smallest amount of stripping acid were investigated. Maximum capacity of the membrane disks modified with 2 mg of the anthraquinone derivative used was found to be 425μg Cu2+. The limit of detection of the proposed method is 7 ng/ml. The method is applied to the recovery of Cu2+ from different synthetic samples and a spring water sample.

2-Propylpiperidine-1-carbodithioate(PPCD)I 로 수식화한 octadecyl로 결합된 실리카 막 디스크로 구리(II) 이온의 잔유양의 추출과 간단하고 빠르게 원자흡수분광법(AAS)으로의 정량법을 소개한다. 추출효율과 흐름속도, pH, 형 태, 벗김 산의 가장 적은 양에 대해 연구되었다. Anthraquinone 유도체의 2 mg로 수식한 막디스크의 최대 용량은 425 μg Cu2+ 이었다. 제안한 방법의 검출한계는 7 ng/ml이다. 이 방법은 다른 시료와 온천수 시료로부터 Cu2+의 회수에 적용하 였다.

Keywords

INTRODUCTION

Copper is both vital and toxic for many biological systems.1,2 Thus, the determination of trace amounts of Cu is becoming increasingly important because of the increased interest in environmental pollution.3 Flame and graphite furnace atomic absorption spectrometry and spectrophotometric methods provides accurate and rapid determination of copper in natural waters and wastewaters.4 Nevertheless, very frequently for the extremely low concentration copper in waters, a direct determination cannot be applied without their previous preconcentration and separation. The most widely used techniques for the separation and preconcentration of trace amounts of Cu are liquid_liquid extraction 4, precipitation5,6 and chelating resins.7 The large distribution ratios possible in solvent extraction systems allow the analytical determination of substances present in otherwise non-detectable concentrations.

A proper choice of extractant may lead to an increase in concentration by several orders of magnitude. In other words, a large increase in sensitivity is obtained in the analytical method, even when the analyte is analytically detectable in the original sample; its preconcentration by means of solvent extraction permits use of smaller samples, simplification of the procedure, and increased accuracy of the samples. Very often, both separation and preconcentration are required, and an advantage of solvent extraction is that both can be obtained in the same step.8 Solvent extraction of metal chelate complexes has been used as a separation method for a long time. Recovery of metals from an aqueous phase by solvent extraction is achieved by contacting the aqueous phase with an organic phase that contains a metal selective chelating agent dissolved in a diluent.9 For extraction of metal ions, it is preferable that the chelating reagent used has a high distribution coefficient and pH dependence in the system chosen.10-14 Different methods, especially Liquid- Liquid extraction of copper in the presence of various classical15-19 and macrocylic20,21 co-extractant ligands has attracted considerable attention. However, the use of classical extraction methods for this purpose is usually time-consuming, laborintensive and requires large amounts of high purity solvents for extraction. Nevertheless, several other techniques for the preconcentration and separation of copper have been proposed including liquid chromatography22 supercritical fluid extraction,23 flotation,24 aggregate film formation,25 liquid membrane,26 column adsorption of pyrocatechol violetcopper complexes on activated carbon,27 ion pairing,28 ion pairing,29 preconcentration with yeast,30 and solid phase extraction using C18 cartridges and disks.31-33

Solid phase extraction (SPE) or liquid-solid extraction is poplar and growing techniques that are used to sample preparation for analysis. It is an attractive alternative for classical liquid-liquid extraction methods that reduce solvent usage and exposure, disposal costs and extraction time for sample separation and concentration purposed.34-36 In recent years, the octadecyl-bonded silica SPE disks have been utilized for the extraction and separation of different organic compounds from environmental matrices.37-40 Moreover, the SPE disks modified by suitable ligands are successfully used for selective extraction and concentration of metal ions.41-42,46

In a recent series of papers,43-45 we have described the application of metal-DNA conjugates to nucleic acid sequence determination with catalytic signal amplification; the assay relies on the esterase activity of a DNA-linked Cu complex. For optimization of the system and exploration of structure- activity relationships, a sensitive probe would be useful, which allows straightforward detection of esterase activity of ligated Cu2+ in low concentration.The aim of this work was the development of a rapid, efficient and highly sensitive method for selective extraction and concentration of ultra trace amounts of Cu2+ ions from aqueous media using octadecyl silica membrane disks modified by 2-propylpiperidine-1-carbodithioate (PPCD) I and AAS determination.

 

MATERIALS AND METHODS

Reagents

All acids were of the highest purity available from Merck Chemical Company and were used as received. Acetonitrile, methanol, and 2-propanol were of HPLC grade from Aldrich Chemical Company. Analytical-grade nitrate salts of copper, sodium, magnesium, calcium, strontium, barium, cobalt, nickel, lead, zinc, cadmium, and mercury (all from Merck) were of the highest purity available and used without any further purification except for vacuum drying over P2O5. Double-distilled, deionized water was used throughout.

Synthesis of sodium 2-propylpiperidine-1-carbodithioate reagent

Carbondisulphide (1.05 mol) was slowly added to a solution of 2-propyl-piperidine (1.43 mol) in 25 ml of water at 5 ℃ with constant stirring, followed by 1.0 mol of sodium hydroxide dissolved in 20 ml of water to form sodium 2-propylpiperidine-1-carbodithioate as shown in Fig. 2(a). The product was warmed to room temperature and washed 2-3 times with purified acetone. The reaction product was recrystallized from warm acetone. The purified compound has a melting point of 303-308 ℃ at 740 mm pressure. Crystallization of water is less in 2-propylpiperidine-1-carbodithioate when compared with other carbodithioate, therefore, the extractability of the complex become easier. The metal salt of this reagent is a resonance hybrid of the structures, which contributed to the stability of metal complexes as shown in Fig. 2(b).

Fig. 1.(a) Synthesis of sodium 2-propylpiperidine-1-carbodithiodate reagent. (b) Resonance hybrid of the 2-propylpiperidine-1-carbodithioate with metal (I).

Fig. 2.Influence of sample pH and dissolving solvent of I on the percentage recovery of Cu(II).

Apparatus

Determination of Cu2+ contents in working samples were carried out by a Varian spectra A.200 model atomic absorption spectrometer equipped with a high intensity hallow cathode lamp (HI-HCl) according to the recommendations of the manufacturers. These characteristics are tabulated in (Table 1).

AAS determinations of all other cations were performed under the recommended conditions for each metal ion. The pH measurements were carried out by an ATC pH meter (EDT instruments, GP 353).

Table 1.The operational conditions of flame for determination of copper

Sample extraction

Solid phase extractions were carried out by glassy membrane disks, ENVI-18DISKTM 47 mm diameter ×0.6 mm thickness containing octadecyl silica bonded phase (30 μm particles, 70 A° pore size) obtained from Supelco in conjunction with a standard Millipore 47 mm filtration apparatus equipped with a vacuum pump.

After the membrane was placed in the filtration apparatus, it was washed with 10 ml methanol and then with 10 ml acetonitrile to remove all contaminants arising from the manufacturing process and the environment. After the disk was dried by passing air through it for several minutes, a solution of 2 mg I dissolved in 2 ml of 2-propanol was introduced into the reservoir of the apparatus and drawn slowly through the disk by applying a slight vacuum until the ligand penetrated the membrane completely. The solvent was evaporated at 50℃. Finally, the disk was washed with 25 ml water and dried by passing air through it. The membrane disk modified with I was now ready for sample extraction.

The general procedure for the extraction of Cu2+ ions on the modified membrane disk was as follows. The disk was first washed with 25 ml water. This step prewets the surface of the modified disk prior to the extraction of Cu2+ from water. Then 500 ml of the sample solution containing 7 μg Cu2+ was passed through the membrane (flow rate = 20 ml min-1). After extraction, the disk was dried completely by passing air through it for a few minutes. The extracted copper was then stripped from the membrane disk using 20 ml of a 1 M solution of nitric acid into a 25.0 ml volumetric flask and diluted to the mark with water, and the copper concentration was determined by AAS.

 

RESULTS AND DISCUSSION

It is well known that various derivatives of carbodithioates are able to form stable 2:1 (ligand: metal) complexes with a variety of metal ions in some nonaqueous solvents;51,52 the resulting Cu2+ complexes are among the most stable complexes formed.55 Due to its water insolubility as well as its tendency to form a selective and stable complex with Cu2+ 55, the synthetic I was employed in this work as a proper ligand for selective SPE of copper from aqueous solutions. Thus, some preliminary experiments were carried out to investigate the quantitative retention of Cu2+ by the octadecyl silica membrane disks in the absence and presence of I. It was found that, while the membrane disk itself does not show any tendency for the extraction of copper ions, a membrane disk modified with I is capable of retaining Cu2+ in the sample solutions quantitatively (the test solutions used contained 0.1 and 1.0 μg copper in 10 ml water). This is most probably due to the existence of a strong interaction between Cu2+ and the carbodithioate used.

To choose a proper eluent for the retained Cu2+ on the modified disks, after extraction of 7 μg copper from 500 ml water, the copper ions were stripped with varying amounts of 1 M concentrations of different acids and the results are summarized in Table 2. It is seen that the elution of copper from the modified membrane disk was quantitative with 20 ml of 1M HNO3, while this could not be done even with greater than 25-ml volumes of the other acids tested. In other experiments it was found that the lower the concentration of nitric acid, the larger the volume of acid solution needed for the quantitative stripping of the cations. Thus, 20-ml portions of 1 M HNO3 were used for further studies. It is noteworthy that when nitric acid of concentrations higher than 1 M was used, there was some leaching of I from the disk.

Table 2.aInitial samples contained 7 μgCu2+ in 1000 ml solution.

The influence of flow rates of the sample and stripping solutions from the modified membrane disks on the retention and recovery of 7 μg of copper ions was investigated. It was found that, in the range 1060 ml min-1, the retention of copper by the membrane disk is not affected by the sample solution flow rate considerably. Some similar results for the extraction of organic47,49 and inorganic materials50,51 by octadecyl silica disks have already been reported in the literature. On the other hand, quantitative stripping of Cu2+ ions from the modified membrane disks was achieved in the flow rate range 0.5-5 ml min-1, using 20 ml of 1M HNO3 as stripping solution. At higher flow rates, larger volumes of 1 M HNO3 were necessary for quantitative stripping of Cu2+.

The effect of the pH

The pH of the sample solutions were adjusted to different values between 2-9 by addition of hydrochloric acid or a suitable buffer such as sodium acceate-acetic acid or sodium dihydrogen phosphate-disodium hydrogen phosphate, and then solutions passed through the disks.

Eventually, the metal ions were stripped by pure methanol or ethanol solutions followed by flame atomic absorption determination of the eluted copper(II). Then, percentage recovery at various pH values was determined (Fig. 2). According to the results shown in Fig. 2 up to pH 5.0-5.5, complete recoveries are obtained. However, at higher pH values, percentage recovery decreases. This is due to fact that in an acidic solution the protonation of I occurs and there is a weak tendency for retention between Cu(II) and I, whereas at higher values (pH>5), Cu(II) reacts with hydroxide ions to produce Cu(OH)2. Therefore, sodium acceate-acetic acid buffer with pH=5 was used for the preconcentration step. Other solvents used for dissolving I were methanol and ethanol. The influences of these solvents on the recoveries as a function of pH are compared and shown in Fig. 2. Mean while, other organic solvents were not tested because of their restricted solubility and formation of two phases with aqueous solutions and incompatibility with flame. Higher pH values (>7) were not tested because of the possibility of the hydrolysis of octadecyl silica in

Disk efficiency

Undoubtedly, one of the major parameters affecting in the SPE determinations is the efficiency of the used membrane disks. However, to the best of our knowledge this case has not been discussed elsewhere in similar reports. Under the optimum experimental conditions, it was found out that each ENV-18 DISKTM disk could perform at least 15 replicate analyses if organic eluting solvents are used. On the other hand, acidic, eluents practically decrease the number of time a disk could be used to 10 replicates. These observations are represented in Fig. 3.

The maximum capacity of the membrane disk modified with 2 mg of I was studied by passing 500-ml portions of an aqueous solution containing 2000 μg copper through the disk, followed by determination of the retained metal ions using AAS. The maximum capacity of the disk thus obtained was found to be 425 μg of Cu2+ on the disk.

The breakthrough volume of sample solutions was tested by dissolving 7 μg of copper in 50, 250, 500, 1000, and 1500 ml water and applying the recommended procedure. In all cases the extraction by the membrane disk was found to be quantitative. Thus, the breakthrough volume for the method should be greater than 1500 ml. The limit of detection (LOD) of the proposed method for the determination of copper(II) was studied under optimal experimental conditions. The LOD obtained from CLOD= KbSb m-156, 57 is 7 ng ml-1. The reproducibility of the proposed method for the extraction and determination of 7 μg Cu2+ from 500 ml water was also studied. The results obtained on 10 replicate measurements revealed a RSD of 2.0%.

Fig. 3.Influence of eluent type on disk efficiency.

To investigate the selective separation and determination of Cu2+ from its binary mixtures with diverse metal ions, an aliquot of an aqueous solution (1000 ml) containing 7 μg Cu2+ and milligram amounts of other cations was taken and the recommended procedure was followed. The results are summarized in Table 3. The data in Table 3 reveal that Cu2+ in binary mixtures is retained almost completely by the modified membrane disk, even in the presence of up to 2100 μg of the diverse metal ions. It is interesting to note that, with the exception of Sr2+, retention of other cations by the modified disk is negligible and they can be separated completely for the Cu2+ ion. However, in the case of Sr2+, its retention by the disk is only 2.5%, which seems to be relatively low. It should be mentioned that the accompanying anions were found to have no measurable effect on the retention and recovery of copper ions.

Table 3.aInitial samples contained 7 μg Cu2+ and different amounts of diverse ions in 1000 ml water. bNo adsorption, passes through disk. cValues in parentheses are RSDs based on three replicate analyses.

Analysis of water samples

The applicability of the method to real samples with different matrices containing different amounts of a variety of diverse ions was assessed by using it to separate and recover copper ions from different synthetic and water samples. The results are given in Table 4. The results of three analyses of each sample show that, in all cases, copper recovery is almost quantitative.

Table 4.Recovery of 7 μg Copper Added to 1000-ml Solutions of the Synthetic and Water Samples

To assess the applicability of the method to real samples, it was applied to the extraction and determination of copper from different water samples. Tap water (Tehran, taken after 10 min operation of the tap), rain water (Tehran, 23 january, 2007), Snow water (Saveh, 8 February, 2006) and Sea water (taken from Caspian sea, near the Mahmoud-Abad shore) samples were analyzed (Table 5). As can be seen from Table 5 the added copper ions can be quantitatively recovered from the water samples used.

Table 5.aValues in parentheses are RSDs based on five individual replicate analysis

 

CONCLUSION

The proposed method is simple, highly selective, and reproducible. The reproducibility of the procedure is at the most 2%. It is rapid compared with the previously reported procedures for the separation and determination of copper;51-55 the time taken for the separation and analysis of copper ion in a 1000 ml water sample is at most 20 min. The method can be successfully applied to the separation and determination of copper in real samples.

References

  1. Scheinberg, I.H., A.G. Morell, Ceruloplasmin, in: G.L. Eichhorn Ed., Inorganic Biochemistry, vol. 1, Elsevier, New York, 1973, pp. 306
  2. Greenwood, N.N.; Earnshow, A. Chemistry of Elements, Pergamon, New York, 1984
  3. Yamini, Y.; Tamaddon, A. Talanta 1999, 49, 119 https://doi.org/10.1016/S0039-9140(98)00351-8
  4. Franson, M. A. H. Standard Methods for Examination of Water and Waste Water, American Publication Health Associations 1995, 3
  5. Eidecker, R.; Jackwerth, E.; Fresenius, Z. Anal. Chem. 1987, 328, 469 https://doi.org/10.1007/BF00475966
  6. Eidecker, R.; Jackwerth, E.; Fresenius Z. Anal. Chem. 1988, 331, 401 https://doi.org/10.1007/BF00481916
  7. Sung, Y.-H.; Liu, Z.-S.; Huang, S.-D. Spectrochim. Acta Part B 1997, 52, 755 https://doi.org/10.1016/S0584-8547(96)01630-8
  8. Rydberg, J.; Musikas, C.; Choppin, G. R. Principles and Practices of Solvent Extraction, Marcel Dekker Inc., New York, 1992
  9. Pazos, C.; Diaz, M.R.; Coca, J. J. Chem. Tech. Biotechnol 1986, 36, 79
  10. Shimizu, K.; Furuhashi, A. Bull. Chem. Soc. Jpn. 1984, 57, 3593 https://doi.org/10.1246/bcsj.57.3593
  11. Wetz, B. Atomic Absorption Spectroscopy, VCH, Amsterdam, 1985
  12. Eaton, A.D.; Clesceri, L.S.; Greenberg, A.E. Standard Methods for the examination of water and waste water, 19 th ed, American Public Health Association, Washington, DC, 1995
  13. Welcher, F.J.; Boschmann, E. Organic Reagents for Copper, Krieger Huntington, New York, 1979
  14. Marczenko, Z. Separation and Spectrophotometric Determination of Elements, Ellis Horwood, London, 1986
  15. Bharagava, O. P. Talanta 1969, 16, 743 https://doi.org/10.1016/0039-9140(69)80105-0
  16. Schilt, A.A.; Hoyle, W.C. Anal. Chem. 1964, 41, 344
  17. Borchart, L.G.; Butler, J.P. Anal. Chem. 1957, 29, 414 https://doi.org/10.1021/ac60123a026
  18. Chaisuksant, R.; Ayuthaya, W.P.; Grudpan, K. Talanta 2000, 53, 579 https://doi.org/10.1016/S0039-9140(00)00534-8
  19. Kara, D.; Alkan, M. Microchem. J. 2002, 71, 29 https://doi.org/10.1016/S0026-265X(01)00115-1
  20. Saito, K.; Murakami, S.; Muromatsu, A.; Sekido, E. Anal. Chim. Acta 1994, 294, 329 https://doi.org/10.1016/0003-2670(94)80317-X
  21. Ikeda, K.; Abe, S. Anl.Chim. Acta 1998, 363, 165 https://doi.org/10.1016/S0003-2670(98)00126-3
  22. Igarashi, S.; Ide, N.; Takagai, Y. Anal. Chim. Acta 2000, 424, 263 https://doi.org/10.1016/S0003-2670(00)01082-5
  23. Liu, J.; Wang, W.; Li, G. Talanta 2001, 53, 1149 https://doi.org/10.1016/S0039-9140(00)00607-X
  24. Anthemidis, A.N.; Zachariadis, G.A.; Stratis, J.A. Talanta 2001, 54, 935 https://doi.org/10.1016/S0039-9140(01)00362-9
  25. Zenedelovska, D.; Pavlovska, G.; Cundeva, K.; Stafilov, T. Talanta 2001, 54, 139 https://doi.org/10.1016/S0039-9140(00)00645-7
  26. Endo, M.; Suziki, K.; Abe, S. Anal. Chim. Acta 1998, 364, 13 https://doi.org/10.1016/S0003-2670(98)00130-5
  27. Campderros, M.E.; Acosta, A.; Marchese, J. Talanta 1998, 47, 19 https://doi.org/10.1016/S0039-9140(98)00048-4
  28. Narin, I.; Soylak, M.; Elic, L.; Dogan, M. Talanta 2000, 52, 1041 https://doi.org/10.1016/S0039-9140(00)00468-9
  29. Akama, Y.; Ito, M.; Tanaka, S. Talanta 2000, 52, 645 https://doi.org/10.1016/S0039-9140(00)00398-2
  30. Ohta, K.; Tanahasi, H.; Suzuki, T.; Kaneco, S. Talanta 2001, 53, 715 https://doi.org/10.1016/S0039-9140(00)00502-6
  31. Cuculic, V.; Mlakar, M.; Branica, M. Anal. Chim. Acta 1997, 339, 181 https://doi.org/10.1016/S0003-2670(96)00465-5
  32. Moghimi, A.; Tehrani, M.S.; Husain, S.W. Material Science Research India 2006, 3(1a), 27 https://doi.org/10.13005/msri/031a03
  33. Nayebi, P.; Moghimi, A. Oriental Journal of Chemistry 2006, 22(3), 507
  34. Thurman, E.M.; Mills, M.S. Solid-Phase Extraction, Principles and Practice, Wiley, New York, 1998
  35. Pawliszyn, J. Solid-Phase Microextraction, Theory and Practice, Wiley-VCH, New York, 1997
  36. Izatt, R.M.; Bradshaw, J.S.; Bruening, R.L. Pure Appl. Chem. 1996, 68, 1237 https://doi.org/10.1351/pac199668061237
  37. Moghimi, A.; Ghammamy, S. "Environmental chemistry an Indian journal" 2007, Vol.2, Issues 3
  38. Moghimi, A. "Chinese Journal of Chemistry" 2007, 25(10), 1536 https://doi.org/10.1002/cjoc.200790282
  39. Taylor, K.Z.; Waddell, D.S.; Reiner, E.J. Anal. Chem. 1995, 67, 1186 https://doi.org/10.1021/ac00103a008
  40. Yamini, Y.; Ashraf-Khorassani, M.; Resolut, J. H. Chromatogr. 1994, 17, 634 https://doi.org/10.1016/S0021-9673(00)99936-9
  41. Moghimi, A. "Chinese Journal of Chemistry" 2007, 25, 640 https://doi.org/10.1002/cjoc.200790119
  42. Moghimi, A. Oriental Journal of Chemistry 2006, 22(3), 527
  43. Brunner, J.; Mokhir, A.; Kramer, R. J. Am.Chem. Soc. 2003, 125, 12410 https://doi.org/10.1021/ja0365429
  44. Zelder, F.H.; Brunner, J.; Kramer, R. Chem. Commun. 2004, 902
  45. Boll, I.; Kramer, R.; Brunner, J.; Mokhir, A. J. Am. Chem. Soc. 2005, 27, 7849
  46. Tehrani, M.S.; Moghimi, A.; Husain, S.W. Material Science Research India 2005, 3(2), 135
  47. Yamini, Y.; Ashraf-Khorassani, M. J. High Resolut. Chromatogr., 1994, 17, 634 https://doi.org/10.1002/jhrc.1240170903
  48. Yamini, Y.; Shamsipur, M. Talanta, 1996, 43, 2117 https://doi.org/10.1016/S0039-9140(96)01998-4
  49. Yamini, Y.; Alizadeh, N.; Shamsipur, M. Sep. Sci. Technol., 1997, 32, 2077 https://doi.org/10.1080/01496399708000756
  50. Yamini, Y.; Alizadeh, N.; Shamsipur, M. Anal. Chim. Acta, 1997, 355, 69 https://doi.org/10.1016/S0003-2670(97)81613-3
  51. Choi, Y.S.; Choi, H.S. Bull. Korean Chem. Soc. 2003, 24, 222 https://doi.org/10.5012/bkcs.2003.24.2.222
  52. Matoso, E.; Kubota, L.T.; Cadore, S. Talanta 2003, 60, 1105 https://doi.org/10.1016/S0039-9140(03)00215-7
  53. Purachat, B.; Liawruangrath, S.; Sooksamiti, P.; Rattanaphani, S.; Buddhasukh, D. Anal. Sci. 2001, 17, 443 https://doi.org/10.2116/analsci.17.443
  54. Ensafi, A.A.; Abbasi, S.; Rahimi Mansour, H.; Mohammad pour Baltork, I. Anal. Sci. 2001, 17, 609 https://doi.org/10.2116/analsci.17.609
  55. Saber Tehrani, M.; Rastegar, F.; Parchehbaf, A.; Rezvani, Z.; Chinese Journal of Chemistry 2005, 23, 1437 https://doi.org/10.1002/cjoc.200591437
  56. ACS Committee on Environment. Anal. Chem., 1980, 52, 2242 https://doi.org/10.1021/ac50064a004
  57. Ingle, J. D.; Crouch, S. R. Spectrochemical Analysis. Prentice-Hall, Englewood Cliffs, NJ, 1988. 316 Raoufi et al.