Abstract
The present dielectric investigations of methyl-terminated poly(propylene glycol) (PPG) oligomers reveal that near the glass transition the normal modes and segmental relaxation merge in a single-process susceptibility spectrum, similar to previous observations on OH-terminated species. Moreover, the present shear-mechanical measurements demonstrate that the vanishing of chain modes can be monitored without recourse to dielectric investigations, which are able to access chain dynamics only for the relatively small fraction of type A polymers. As the normal and segmental modes merge, the viscosity displays a crossover from a polymer-like regime governed by the chain dynamics, to a simple-liquid regime governed by the structural relaxation.
References
Williams G (2009) Chain dynamics in solid polymers and polymerizing systems as revealed by broadband dielectric spectroscopy. Macromol Symp 286:1–19
Doi M, Edwards SF (1986) The theory of polymer dynamics. Clarendon, Oxford
Rouse Jr PE (1953) A theory of the linear viscoelastic properties of dilute solutions of coiling polymers. J Chem Phys 21:1272–1280
Bahar I, Erman B, Monnerie L (1991) Stochastic treatment of conformational transitions of polymer chains in the sub-Rouse regime. Macromolecules 24:3618–3626
Paluch M, Pawlus S, Sokolov AP, Ngai KL (2010) Sub-rouse modes in polymers observed by dielectric spectroscopy. Macromolecules 43:3103–3106
Hintermeyer J, Herrmann A, Kahlau R, Goiceanu C, Rössler EA (2008) Molecular weight dependence of glassy dynamics in linear polymers revisited. Macromolecules 41:9335–9344
Agapov AL, Sokolov AP (2009) Does the molecular weight dependence of Tg correlate to Me? Macromolecules 42:2877–2878
Wu X, Liu C, Zhu Z, Ngai KL, Wang L-M (2011) Nature of the sub-rouse modes in the glass−rubber transition zone of amorphous polymers. Macromolecules 44:3605–3610
Baur ME, Stockmayer H (1965) Dielectric relaxation in liquid polypropylene oxides. J Chem Phys 43:4319–4325
Adachi K, Kotaka T (1993) Dielectric normal-mode relaxation. Prog Polym Sci 18:585–622
Schönhals A, Schlosser E (1993) Relationship between segmental and chain dynamics in polymer melts as studied by dielectric spectroscopy. Physica Scripta T49:233–236
Schönhals A, Schlosser E (1993). Relation between main- and normal-mode relaxation. A dielectric study on poly (propyleneoxide). Prog Coll Polym Sci 91:158–161
Mierzwa M, Floudas G, Dorgan J, Knauss D, Wegner J (2002) Local and global dynamics of polylactides: a dielectric spectroscopy study. J Non-Cryst Solids 307-310:296–303
Nicolai T, Floudas G (1998) Dynamics of linear and star poly(oxypropylene) studied by dielectric spectroscopy and rheology. Macromolecules 31:2578–2585
Casalini R, Roland CM (2005) Temperature and density effects on the local segmental and global chain dynamics of poly(oxybutylene). Macromolecules 38:1779–1788
Ngai KL, Schönhals A, Schlosser E (1992) An explanation of anomalous dielectric relaxation properties of polypropylene glycol. Macromolecules 25:4915–4919
Ilan B, Loring RF (1999) Local vitrification model for melt dynamics. Macromolecules 32:949–951
Plazek DJ, O’Rourke VMJ (1971). Viscoelastic behavior of low molecular weight polystyrene. Polym. Sci., Part A2 9:209–243
Plazek DJ, Schlosser E, Schönhals A, Ngai KL (1993) Breakdown of the rouse model for polymers near the glass transition temperature. J Chem Phys 98:6488–6491
Ngai KL, Plazek DJ (1995) Identification of different modes of molecular motion in polymers that cause thermorheological complexity. Rubber Chem Technol 68:376–434
Plazek DJ (1996) Bingham medal address: oh, thermorheological simplicity, wherefore art thou? J Rheol 40:987–1014
Beevers MS, Elliott DA, Williams G (1980) Dynamic Kerr-effect and dielectric relaxation studies of a poly(methylphenyl siloxane). Polymer 21:13–20
Hayakawa T, Adachi K (2001) Dielectric normal mode relaxation of undiluted poly(propylene glycol)s. Polymer 42:1725–1732
Engberg D, Schüller J, Strube B, Sokolov AP, Torell LM (1999) Brillouin scattering and dielectric relaxation in PPG of different chain lengths and end groups. Polymer 40:4755–4761
Mattsson J, Bergman R, Jacobsson P, Börjesson L (2003) Chain-length-dependent relaxation scenarios in an oligomeric glass-forming system: from merged to well-separated α and β loss peaks. Phys Rev Lett 90:075702
Mattsson J, Bergman R, Jacobsson P, Börjesson L (2005) Influence of chain length on the α−β bifurcation in oligomeric glass formers. Phys Rev Lett 94:165701
Swenson J, Köper I, Telling MTF (2002) Dynamics of propylene glycol and its 7-mer by neutron scattering. J Chem Phys 116:5073–5079
Vogel M, Torbrügge T (2007) Nonexponential polymer segmental motion in the presence and absence of ions: 2H NMR multitime correlation functions for polymer electrolytes poly(propylene glycol)-LiClO4. J Chem Phys 126:204902
Cochrane J, Harrison G, Lamb J, Phillips DW (1980) Creep, creep recovery and dynamic mechanical measurements of a poly(propylene glycol) oligomer. Polymer 21:837–844
Saba RG, Sauer JA, Woodward AE (1963) Dynamic shear behavior of poly(γ-benzyl L-glutamate), poly(D,L-propylene oxide), and poly(ethyl vinyl ether). J Polymer Sci Part A 1:1483–1490
Christensen T, Olsen NB (1995) A rheometer for the measurement of a high shear modulus covering more than seven decades of frequency below 50 kHz. Rev Sci Instrum 66:5019–5031
Xing K, Chatterjee S, Saito T, Gainaru C, Sokolov AP (2016) Impact of hydrogen bonding on dynamics of hydroxyl-terminated Polydimethylsiloxane. Macromolecules 49:3138–3147
PPG with this molecular weight were dielectrically studied before, see Park IS, Saruta K, Koijma S (1998) Dielectric Relaxation and Calorimetric Measurements of Glass Transition in the Glass-Forming Dyhydroxyl Alcohols. J Phys Soc Jpn 67:4131–4138
Gainaru C, Böhmer R (2009) Oligomer-to-polymer transition of poly-(propylene glycol) revealed by dielectric normal modes. Macromolecules 42:7616–7618
Ferry JD (1970) Viscoelastic properties of polymers. Wiley, New York,
Ngai KL, Rendell RW, Rajagopal AK, Teitler S (1986) Three coupled relations for relaxations in complex systems. Ann N Y Acad Sci 484:150–180
Gainaru C, Hiller W, Böhmer R, Dielectric Study A (2010) Of Oligo- and poly(propylene glycol). Macromolecules 43:1907–1914
Reinsberg SA, Heuer A, Doliwa B, Zimmermann H, Spiess HW (2002) Length scale of dynamic heterogeneities at the glass transition determined by multidimensional nuclear magnetic resonance. J Non-Cryst Solids 307-310:208–214
Fragiadakis D, Casalini R, Bogoslovov RB, Robertson CG, Roland CM (2011) Dynamic heterogeneity and density scaling in 1,4-Polyisoprene. Macromolecules 44:1149–1155
Strobl G (1997) The physics of polymers. Springer, Berlin
Acknowledgements
Support by the Deutsche Forschungsgemeinschaft (Grant BO1301/14-1) is gratefully acknowledged. This work was partially supported by the VILLUM Foundation. The US team thanks the NSF Polymer program for financial support (DMR-1408811).
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
Conflict of interest
The authors declare that they have no conflict of interest.
Rights and permissions
About this article
Cite this article
Gainaru, C., Hecksher, T., Fan, F. et al. Simple-liquid dynamics emerging in the mechanical shear spectra of poly(propylene glycol). Colloid Polym Sci 295, 2433–2437 (2017). https://doi.org/10.1007/s00396-017-4206-6
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00396-017-4206-6