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Volumn 24, Issue 3-4, 2010, Pages 158-167

Application of recurrent relations in chemistry

Author keywords

Autoregressive model; Chemical applications; Equidistant data sets; Fibonacci; Homologous properties; Lucas; Numerical sequences; Padovan and perrin numbers; Recurrent relations; Water solubility

Indexed keywords

AUTOREGRESSIVE MODELLING; CHEMICAL APPLICATIONS; DATA SET; EQUIDISTANT DATA SET; FIBONACCI; HOMOLOGOUS PROPERTY; LUCA; NUMERICAL SEQUENCE; PADOVAN AND PERRIN NUMBER; PROPERTY; RECURRENT RELATION; WATER SOLUBILITIES;

EID: 77951029859     PISSN: 08869383     EISSN: 1099128X     Source Type: Journal    
DOI: 10.1002/cem.1297     Document Type: Article
Times cited : (22)

References (35)
  • 1
    • 33749261134 scopus 로고    scopus 로고
    • Simple approximation of any constants of homologues using single recurrent functions
    • Zenkevich IG. Simple approximation of any constants of homologues using single recurrent functions. Lect. Ser. Comput. Comput. Sci. 2005; 4B: 1574-1577.
    • (2005) Lect. Ser. Comput. Comput. Sci , vol.4 B , pp. 1574-1577
    • Zenkevich, I.G.1
  • 2
    • 70349512450 scopus 로고    scopus 로고
    • Approximation of any physicochemical constants of homologues with the use of recurrent functions
    • Zenkevich IG. Approximation of any physicochemical constants of homologues with the use of recurrent functions. J. Math. Chem. 2009; 46: 913-933.
    • (2009) J. Math. Chem , vol.46 , pp. 913-933
    • Zenkevich, I.G.1
  • 3
    • 64249139249 scopus 로고    scopus 로고
    • Application of recurrent relationships in chromatography
    • Zenkevich IG. Application of recurrent relationships in chromatography. J. Chemometr. 2009; 23: 179-187.
    • (2009) J. Chemometr , vol.23 , pp. 179-187
    • Zenkevich, I.G.1
  • 4
    • 85159254170 scopus 로고
    • Introduction to Algorithms (2nd edn). MIT Press & McGraw-Hill: NY, Ch. 4, Recurrences
    • Cornell TH, Leiserson CE, Rivest RL, Stein C. Introduction to Algorithms (2nd edn). MIT Press & McGraw-Hill: NY, 1990; Ch. 4, Recurrences p. 62.
    • (1990) , pp. 62
    • Cornell, T.H.1    Leiserson, C.E.2    Rivest, R.L.3    Stein, C.4
  • 5
    • 64249148177 scopus 로고    scopus 로고
    • (accessed October 2009)
    • Bourke P. Autoregression analysis. http://astronomy.swin.edu.au/~pbourke/other/ar/ (accessed October 2009).
    • Autoregression Analysis
    • Bourke, P.1
  • 6
    • 39849100097 scopus 로고    scopus 로고
    • Use of recurrent relations in approximation of any homologues of organic compounds
    • Zenkevich IG. Use of recurrent relations in approximation of any homologues of organic compounds. Rus. J. General Chem. 2006; 76(11): 1821-1833.
    • (2006) Rus. J. General Chem , vol.76 , Issue.11 , pp. 1821-1833
    • Zenkevich, I.G.1
  • 7
    • 0345910367 scopus 로고
    • (in Russian). Moscow State University: Moscow
    • Yu. A Zhdanov. Homology in Organic Chemistry (in Russian). Moscow State University: Moscow, 1950; p. 96
    • (1950) Homology In Organic Chemistry , pp. 96
    • Zhdanov, Y.A.1
  • 8
    • 39849088739 scopus 로고    scopus 로고
    • Application of recurrent relationships in approximation of physicochemical properties of any homologues of organic compounds
    • Zenkevich IG. Application of recurrent relationships in approximation of physicochemical properties of any homologues of organic compounds. Lect. Ser. Comput. Comput. Sci. 7B: 2006; 1382-1385.
    • (2006) Lect. Ser. Comput. Comput. Sci , vol.7 B , pp. 1382-1385
    • Zenkevich, I.G.1
  • 9
    • 85159248029 scopus 로고
    • (in Russian), Vol. 1, Khimia Publ. House: Leningrad
    • Nikolskii BP (ed.). Chemist's Handbook (in Russian), Vol. 1, Khimia Publ. House: Leningrad, 1990; p. 945.
    • (1990) Chemist's Handbook , pp. 945
    • Nikolskii, B.P.1
  • 10
    • 0003998388 scopus 로고    scopus 로고
    • Version 2006. CRC Press UK, SW152NU, UK, London, CD-ROM
    • CRC Handbook of Chemistry and Physics, Version 2006. CRC Press UK, SW152NU, UK, London, 2006 (CD-ROM).
    • (2006) CRC Handbook of Chemistry and Physics
  • 11
    • 1642586654 scopus 로고    scopus 로고
    • Modeling of salt solubilities in mixed solvents. Braz
    • Filho OC, Rasmussen P. Modeling of salt solubilities in mixed solvents. Braz. J. Chem. Eng. 2000; 17(2): 117-131.
    • (2000) J. Chem. Eng , vol.17 , Issue.2 , pp. 117-131
    • Filho, O.C.1    Rasmussen, P.2
  • 12
    • 85159247103 scopus 로고    scopus 로고
    • (accessed October 2009)
    • http://www.asiinstr.com/technical/Dielectric%20Constants.htm(accessed October 2009).
  • 13
    • 0025471499 scopus 로고
    • Dielectric measurements of reference liquids using automatic network analyzers and calculable geometries
    • Lenkins S, Hodgetts TE, Clarke RN, Preece AW. Dielectric measurements of reference liquids using automatic network analyzers and calculable geometries. Measur. Sci. Technol. 1990; 1: 691-702.
    • (1990) Measur. Sci. Technol , vol.1 , pp. 691-702
    • Lenkins, S.1    Hodgetts, T.E.2    Clarke, R.N.3    Preece, A.W.4
  • 14
    • 0001515707 scopus 로고    scopus 로고
    • Correlation of the aqueous solubility of hydrocarbons and halogenated hydrocarbons with molecular structure
    • Huibers PDT, Katritzky AR. Correlation of the aqueous solubility of hydrocarbons and halogenated hydrocarbons with molecular structure. J. Chem. Inf. Comput. Sci. 1998; 38: 283-292.
    • (1998) J. Chem. Inf. Comput. Sci , vol.38 , pp. 283-292
    • Huibers, P.D.T.1    Katritzky, A.R.2
  • 15
    • 0035470283 scopus 로고    scopus 로고
    • Prediction of aqueous solubility of organic compounds by the General Solubility Equation (GSE)
    • Ran Y, Jain N, Yalkovsky H. Prediction of aqueous solubility of organic compounds by the General Solubility Equation (GSE). J. Chem. Inf. Comput. Sci. 2004; 41: 1208-1217.
    • (2004) J. Chem. Inf. Comput. Sci , vol.41 , pp. 1208-1217
    • Ran, Y.1    Jain, N.2    Yalkovsky, H.3
  • 16
    • 27644595841 scopus 로고    scopus 로고
    • Aqueous and cosolvent solubility data for drug-like organic compounds
    • Rytting E, Lentz KA, Chen X-Q, Qian F, Venkatesh S. Aqueous and cosolvent solubility data for drug-like organic compounds. AAPS J. 2005; 7: E78-E105.
    • (2005) AAPS J , vol.7
    • Rytting, E.1    Lentz, K.A.2    Chen, X.-Q.3    Qian, F.4    Venkatesh, S.5
  • 17
    • 34248227359 scopus 로고    scopus 로고
    • Predicting aqueous solubility of chlorinated hydrocarbons by the MCI approach
    • Wang Y-L, Hu Y-D, Wu L-Y, An W-Z. Predicting aqueous solubility of chlorinated hydrocarbons by the MCI approach. Int. J. Mol. Sci. 2006; 7: 47-58.
    • (2006) Int. J. Mol. Sci , vol.7 , pp. 47-58
    • Wang, Y.-L.1    Hu, Y.-D.2    Wu, L.-Y.3    An, W.-Z.4
  • 19
    • 85159251168 scopus 로고    scopus 로고
    • Recurrent approximation of physicochemical properties of homologues of organic compounds. Analogy with recursive numerical sequences
    • MATH/CHEM/COMP Dubrovnik, Croatia
    • Zenkevich IG. Recurrent approximation of physicochemical properties of homologues of organic compounds. Analogy with recursive numerical sequences. Abstr. Internat. Conf. MATH/CHEM/COMP Dubrovnik, Croatia, 2007. p. 81.
    • (2007) Abstr. Internat. Conf , pp. 81
    • Zenkevich, I.G.1
  • 20
    • 85159253097 scopus 로고    scopus 로고
    • (accessed October 2009)
    • http://en.wikipedia.org/wiki/Fibonacci_numbers (accessed October 2009).
  • 21
    • 34147158783 scopus 로고    scopus 로고
    • Concentration dependence of boiling points of binary equidistant solutions
    • Marinichev AN. Concentration dependence of boiling points of binary equidistant solutions. Rus. J. Appl. Chem. 2007; 80(2): 209-212.
    • (2007) Rus. J. Appl. Chem , vol.80 , Issue.2 , pp. 209-212
    • Marinichev, A.N.1
  • 22
    • 85159246614 scopus 로고    scopus 로고
    • Description of even-odd alternation of enlightenment temperatures in mesogene homologous series by different equations of second order
    • Sokolova EP, Marinichev AN. Description of even-odd alternation of enlightenment temperatures in mesogene homologous series by different equations of second order. Rus. J. General Chem. 2009; 79(1): 18-25.
    • (2009) Rus. J. General Chem , vol.79 , Issue.1 , pp. 18-25
    • Sokolova, E.P.1    Marinichev, A.N.2
  • 23
    • 39849108665 scopus 로고    scopus 로고
    • Recurrent equations of physicochemical constants for homologues substantiated with numerical sequences
    • Zenkevich IG. Recurrent equations of physicochemical constants for homologues substantiated with numerical sequences. Rus. J. Struct. Chem. 2007; 48(6): 1006-1014.
    • (2007) Rus. J. Struct. Chem , vol.48 , Issue.6 , pp. 1006-1014
    • Zenkevich, I.G.1
  • 24
    • 85159247674 scopus 로고    scopus 로고
    • (accessed October 2009)
    • http://en.wikipedia.org/wiki/Lukas_numbers (accessed October 2009).
  • 25
    • 85159250258 scopus 로고    scopus 로고
    • (accessed October 2009)
    • http://en.wikipedia.org/wiki/Padovan_sequence (accessed October 2009).
  • 26
    • 85159257536 scopus 로고    scopus 로고
    • (accessed October 2009)
    • http://em.wikipedia.org/wiki/Perrin_number (accessed October 2009).
  • 27
    • 0001280959 scopus 로고    scopus 로고
    • Solubility of gases in water: Correlation between solubility and the number of water molecules in the first solvation shell
    • Scharlin P, Battino R, Silla E, Tunon I, Pascual-Ahuir JL. Solubility of gases in water: correlation between solubility and the number of water molecules in the first solvation shell. Pure Appl. Chem. 1998; 70(10): 1895-1904.
    • (1998) Pure Appl. Chem , vol.70 , Issue.10 , pp. 1895-1904
    • Scharlin, P.1    Battino, R.2    Silla, E.3    Tunon, I.4    Pascual-Ahuir, J.L.5
  • 28
    • 0034833042 scopus 로고    scopus 로고
    • Estimation of water solubility from atom-type electrotopological state indices
    • Huskonen J. Estimation of water solubility from atom-type electrotopological state indices. Environ. Toxicol. 2000; 20: 491-497.
    • (2000) Environ. Toxicol , vol.20 , pp. 491-497
    • Huskonen, J.1
  • 29
    • 0036115689 scopus 로고    scopus 로고
    • Estimation of aqueous solubility of organic compounds with QSPR approach
    • Gao H, Shanmugasundaram V, Lee P. Estimation of aqueous solubility of organic compounds with QSPR approach. Pharm. Res. 2002; 19(4): 497-503.
    • (2002) Pharm. Res , vol.19 , Issue.4 , pp. 497-503
    • Gao, H.1    Shanmugasundaram, V.2    Lee, P.3
  • 30
    • 8544232743 scopus 로고    scopus 로고
    • QSPR modeling the aqueous solubility of alcohols by optimization of correlation weights of local graph invariants
    • Duchowich PR, Castro EA, Toropov AA, Nesterov IV, Nabiev OM, QSPR modeling the aqueous solubility of alcohols by optimization of correlation weights of local graph invariants. Mol. Diversity 2004; 8: 325-330.
    • (2004) Mol. Diversity , vol.8 , pp. 325-330
    • Duchowich, P.R.1    Castro, E.A.2    Toropov, A.A.3    Nesterov, I.V.4    Nabiev, O.M.5
  • 31
    • 33646249822 scopus 로고    scopus 로고
    • QSPR modeling of the water solubility of diverse functional aliphatic compounds by optimization of correlation weights of local graph invariants
    • Roy K, Toropov AA. QSPR modeling of the water solubility of diverse functional aliphatic compounds by optimization of correlation weights of local graph invariants. J. Mol. Model. 2005; 11(2): 89-96.
    • (2005) J. Mol. Model , vol.11 , Issue.2 , pp. 89-96
    • Roy, K.1    Toropov, A.A.2
  • 33
    • 85159245685 scopus 로고    scopus 로고
    • (accessed October 2009)
    • http://www.chemdat.info/mda/int_en/labtool/table_solina.html(accessed October 2009).
  • 35
    • 33845306823 scopus 로고
    • The dielectric properties of water at microwave frequencies
    • Kaatze U, Uhlendorf V. The dielectric properties of water at microwave frequencies. Z. Phys. Neue Folge 1981; 126: 151-165.
    • (1981) Z. Phys. Neue Folge , vol.126 , pp. 151-165
    • Kaatze, U.1    Uhlendorf, V.2


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