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Calculation of polyamides melting point by quantum-chemical method and BP artificial neural networks

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Abstract

Quantitative structure–property relationships (QSPR) for the melting point of the polyamides have been determined. All descriptors were calculated from molecular structures at the B3LYP/6–31G(d) level and a QSPR model was generated by multiple linear regression (MLR). The important molecular descriptors for polyamide melting-point temperatures (T m) are the number of benzene rings in the backbone chain, the proportion of methylene and acylamino in the backbone chain, the total molecular energy and the atomic charge for the oxygen atom in the acylamino group. The MLR determination coefficient (r 2) and the standard error of estimation for the model are 0.865 and 21.34 K, respectively. In addition to the nonlinear regression technique, error back-propagation artificial neural networks (BPANN) was used to study the relationships between molecular structures and melting-point temperatures. It is concluded that melting-point temperatures for polyamides can be described by molecular chain rigidity and interchain attractive interactions. The more accurate predicted results were obtained from BPANN.

Experimental vs calculated Tm using BPANN

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References

  1. Katritzky AR, Lobanov VS, Karelson M (1995) Chem Soc Rev 24:278–287

    Article  Google Scholar 

  2. Bunn CW (1955) J Polym Sci 16:323–343

    Article  CAS  Google Scholar 

  3. Wunderlich B (1973) Crystal structure, morphology, defects, macromolecular physics, vol 1. Academic, New York, pp 68

    Google Scholar 

  4. Tadokoro H (1979) Structure of crystalline polymers. Wiley, New York, pp 15

    Google Scholar 

  5. Flory PJ (1956) Proc R Soc London A234:60–73

    CAS  Google Scholar 

  6. Gujirati PD, Goldstein MJ (1981) J Chem Phys 74:2596–2603

    Article  Google Scholar 

  7. Nagle JF, Gujirati PD, Goldstein MJ (1984) J Phys Chem 88:4599–4608

    Article  CAS  Google Scholar 

  8. Toropov A, Toropova A, Ismailov T, Bonchev D (1998) J Mol Struct: (THEOCHEM) 424:237–247

    Article  CAS  Google Scholar 

  9. Firpo M, Gavernet L, Castro EA, Toropov AA (2000) J Mol Struct: (THEOCHEM) 501–502:419–425

    Article  Google Scholar 

  10. Toropov AA, Toropova AP (2002) J Mol Struct: (THEOCHEM) 581:11–15

    Article  CAS  Google Scholar 

  11. Katritzky AR, Jain R, Lomak A, Petrukhin R (2001) Perspective 1:261–265

    CAS  Google Scholar 

  12. Brandrup J (1999) Polymer handbook. 4th edn. Wiley, New York

    Google Scholar 

  13. Polymer Database: http://polymer.nims.go.jp/PoLyInfo/

  14. Frisch MJ, Trucks GW, Schlegel HB, Scuseria GE, Robb MA, Cheeseman JR, Zakrzewski VG, MonTgomery JA, Jr, Stratmann RE, Burant JC, Dapprich S, Millam JM, Daniels AD, Kudin KN, Strain MC, Farkas O, Tomasi J, Barone V, Cossi M, Cammi R, Mennucci B, Pomelli C, Adamo C, Clifford S, Ochterski J, Petersson GA, Ayala PY, Cui Q, Morokuma K, Malick DK, Rabuck AD, Raghavachari K, Foresman JB, Cioslowski J, Ortiz JV, Stefanov BB, Liu G, Liashenko A, Piskorz P, Komaromi I, Gomperts R, Martin RL, Fox DJ, Keith T, Al-Laham MA, Peng CY, Nanayakkara A, Gonzalez C, Challacombe M, Gill PMW, Johnson BG, Chen W, Wong MW, Andres JL, Head-Gordon M, Replogle ES, Pople JA (2003) Gaussian 03, Revision B.05. Gaussian Inc, Pittsburgh, Pennsylvania

  15. Tang Q, Feng M (2002) Practical Statistics and DPS Data Processing System. Science, Beijing

    Google Scholar 

  16. Wold S, Johanson E, Cocchi M (1993) In: Kubinyi H (ed) 3D QSAR in drug design: theory, method and applications. ESCOM, Leiden, pp 523–550

    Google Scholar 

Download references

Acknowledgement

The authors like to thank the financial support from the Scientific Research Fund of Hunan Provincial Education Department (05A002) for the research work.

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Correspondence to Xueye Wang.

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Gao, J., Wang, X., Yu, X. et al. Calculation of polyamides melting point by quantum-chemical method and BP artificial neural networks. J Mol Model 12, 521–527 (2006). https://doi.org/10.1007/s00894-005-0087-6

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  • DOI: https://doi.org/10.1007/s00894-005-0087-6

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