Abstract
The basic theory and techniques of diffusion measurements by pulsed field gradient NMR are described, and experimental results for solutions and gels of poly(N,N-dimethylacrylamide), carrageenans, agar , and agarose are introduced and analyzed to give physical pictures for the gels. Discussion of experimental results for water and probe diffusion in synthetic polymer and polysaccharide gels and solution was offered. Relaxation times for the macromolecules and water give information on tumbling motion. The diffusion coefficient of probe molecules in hydrocolloid systems provided the information on the translational mobility of molecules, which can be used to infer the structure of the gel network . By comparing the results with other experimental techniques, a clear picture emerges, with clear correspondence of the microscopic events, namely, aggregation, polymer immobilization, and subsequent effects on molecular flexibility and probe diffusion, with the macroscopic (bulk) events, namely, gelation. The hydrodynamic shielding length, ξ, which represents within the mean field hydrodynamic approach the mesh size of the network, as a parameter that determines D/D 0 of probe molecules, has been discussed in detail. This parameter ξ was used to describe quantitatively the evolving structure of the gel network.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Cukier R (1984) Diffusion of Brownian spheres in semidilute polymer solutions. Macromolecules 17:252–255
Phillies GDJ, Malone C, Ullmann K, Ullmann GS, Rollings J, Yu L (1987) Probe diffusion in solutions of log-chain polyelectrolytes. Macromolecules 22:2280–2289
Cameron RE, Jalil MA, Donald AM (1994) Diffusion of bovine serum-albumin in amylopectin gels measured using Fourier-Transform Infrared. Microspectrosc Macromol 27:2708–2713
Matsukawa S, Ando I (1996) A study of self-diffusion of molecules in polymer gel by pulsed-gradient spin-echo 1H NMR. Macromolecules 29:7136
Matsukawa S, Ando I (1997) Study of self-diffusion of molecules in polymer gel by pulsed-gradient spin-echo 1H NMR 2. Intermolecular hydrogen-bond interaction. Macromolecules 30:8310
Matsukawa S, Ando I (1999) Study of self-diffusion of molecules in polymer gel by pulsed-gradient spin-echo 1H NMR. 3. Stearyl itaconimide/N, N-dimethylacrylamide copolymer gels. Macromolecules 32:1865
Matsukawa S, Yasunaga H, Zhao C, Kuroki S, Kurosu H, Ando I (1999) Diffusion processes in polymer gels as studied by pulsed field-gradient spin-echo spectroscopy. Prog Polym Sci 24(7):995–1044
Zhao Q, Matsukawa S (2012) Estimation of hydrodynamic screening length in κ-carrageenan aqueous system through probe diffusion using gradient. Polym J 44:901–906
Zhao Q, Brenner T, Matsukawa S (2013) Molecular mobility and microscopic structure changes in κ-carrageenan solutions studied by gradient NMR. Carbohydr Polym 95:458–464
Dai B, Matsukawa S (2012) NMR studies of the gelation mechanism and molecular dynamics in agar solutions. Food Hydrocoll 26:181–186
Dai B, Matsukawa S (2013) Elucidation of gelation mechanism and molecular interactions of agarose in solution by 1H-NMR. Carbohydr Res 365:38–45
Stejskal EO, Tanner JE (1965) Spin diffusion measurements: spin echoes in the presence of a time dependent field gradient. J Chem Phys 42:288
Karger J, Pfeifer H, Heink W (1988) Principles and applications of self-diffusion measurements by nuclear magnetic resonance. Adv Magn Reson 12:1
Callaghan PT (1991) Principles of nuclear magnetic resonance microscopy. Clarendon, Oxford, p 93
Price WS (1997) Pulsed field gradient NMR as a tool for studying translational diffusion, Part I. Basic theory. Concepts Magn Reson 9:299–336
Price WS (2009) Diffusion and its measurements. In: NMR study of translational motion, 1st ed. Cambridge University Press, New York. pp 1–68
Langevin D, Rondelez FP (1978) Sedimentation of large colloidal particles through semidilute polymer solutions. Polymer 19:875–882
Wheeler LM, Lodge TP (1989) Tracer diffusion of linear polystyrenes in dilute, semidilute and concentrated polyvinyl methyl ether solutions. Macromolecules 22:3399–3408
Rotstein NA, Lodge TP (1992) Tracer diffusion of linear polystyrene in poly(vinyl methyl ether) gels. Macromolecules 25:1316–1325
Nemoto N, Landry MR, Noh I, Kitano T, Wesson J, Yu H (1985) Concentration dependence of self diffusion coefficient by forced Rayleigh scattering: polystyrene in tertahydrofuran. Macromolecules 18:308–310
de Gennes PG (1976) Dynamics of entangled polymer solution II. Inclusion of hydrodynamic interaction. Macromolecules 9:594–598
Imeson AP (2000) Chapter 5: Carrageenan. In: Phillips GO, Williams PA (eds) Handbook of hydrocolloids. Woodhead Publishing, Cambridge, pp 95–100
Makino K, Idenuma R, Murakami T, Ohshima H (2001) Design of a rate and time-programming drug release device using a hydrogel: pulsatile drug release from ĸ-carrageenan hydrogel device by surface erosion of the hydrogel. Colloids Surf B: Biointerfaces 20:355–359
Garcia AM, Ghaly ES (1996) Preliminary spherical agglomerates of water soluble drug using natural polymer and cross-linking technique. J Control Release 40:179–186
Campanella L, Roversi R, Sammartino MP, Tomassetti M (1998) Hydrogen peroxide determination in pharmaceutical formulation and cosmetics using a new catalase biosensor. J Pharm Biomed Anal 18:105–116
Hjerde T, Smidsrød O, Christensen BE (1999) Analysis of the conformational properties of κ and ι-carrageenan by size-exclusion chromatography combined with low-angle laser light scattering. Biopolymers 49:71–80
MacArtain P, Jacquier JC, Dawson KA (2003) Physical characteristics of calcium induced κ-carrageenan networks. Carbohydr Polym 53(4):395–400
Mangione MR, Giacomazza D, Bulone D, Martorana V, Cavallaro G, San Biagio PL (2005) K+ and Na+ effects on the gelation properties of κ-carrageenan. Biophys Chem 113:129–135
Mangione MR, Giacomazza D, Bulone D, Martorana V, San Biagio PL (2003) Thermoreversible gelation of κ-carrageenan: relation between conformational transition and aggregation. Biophys Chem 104:95–105
Sankalia MG, Mashru RC, Sankalia JM, Sutariya VB (2006) Stability improvement of alpha- amylase entrapped in kappa-carrageenan beads: Physicochemical characterization and optimization using composite index. Int J Pharm 312:1–14
Nono M, Nicolai T, Durand D (2010) Gel formation of mixtures of κ-carrageenan and sodium caseinate. Food Hydrocoll 25:750–757
Rochas C, Rinaudo M (1984) Mechanism of gel formation in κ-carrageenan. Biopolymers 23:735–745
Takemasa M, Chiba A (2001) Gelation mechanism of κ- and ι-carrageenan investigated by correlation between the strain-optical coefficient and the dynamic shear modulus. Macromolecules 34:7427–7434
Walther B, Lorén N, Nydén M, Hermansson AM (2006) Influence of κ-carrageenan gel structures on the diffusion of probe molecules determined by transmission electron microscopy and NMR diffusometry. Langmuir 22:8221–8228
Lorén N, Shtykova L, Kidman S, Jarvoll P, Nydén M, Hermansson AM (2009) Dendrimer diffusion in κ-carrageenan gel structures. Biomacromolecules 10:275–284
Phillips RJ (2000) A hydrodynamic model for hindered diffusion of proteins and micelles in hydrogels. Biophys J 79:3350–3354
Amsden B (1998) Solute diffusion in hydrogels. An examination of the retardation effect. Polym Gels Networks 6:13–43
Amsden B (1998) Solute diffusion in hydrogels. An examination of the retardation effect. Polym Gels Networks 6(13)
Mstsukawa S, Sagae D, Mogi A (2009) Molecular diffusion in polysaccharide gel systems as observed by NMR. Progr Colloid Polym Sci 136:171
Doi M, Edward SF (1986) The theory of polymer dynamics. Oxford University Press, New York
Nishinari K, Kohyama K, Williams PA, Phillips GO, Burchard W, Ogino K (1991) Solution properties of Pullulan. Macromolecules 24:5590
Takahashi A, Sakai M, Kato T (1980) Melting temperature of thermally reversible gel: VI effect of branching on the sol–gel transition of polyethylene gels. Polym J 12:335
Shimizu M, Brenner T, Liao RQ, Matsukawa S (2012) Diffusion of probe polymer in gellan gum solutions during gelation process studied by gradient NMR. S. Matsukawa. Food Hydrocoll 26:28
Nussinovitch A (1997) Hydrocolloid applications: gum technology in the food and other industries, 1st edn. Chapman & Hall, London (Chapter 1)
Arnott S, Fulmer S, Scott WE (1974) The agarose double helix and its function in agarose gel structure. J Mol Biol 90:269–284
Aymard P, Martin D, Plucknett K, Foster T, Clark A, Norton L (2001) Influence of thermal history on the structural and mechanical properties of agarose gels. Biopolymers 59:131–144
Matsukawa S, Sagae D, Mogi A (2009) Molecular diffusion in polysaccharide gel systems as observed by NMR. Progr Colloid Polym Sci 136:171–176
Price WS (2009) NMR studies of translational motion, 1st ed. Cambridge University Press, New York (chapter 7)
Déléris I, Andriot I, Gobet M, Moreau C, Souchon I, Guichard E (2010) Determination of aroma compound diffusion in model food systems: comparison of macroscopic and microscopic methodologies. J Food Eng 100:557–566
Walderhaug H, Söderman O, Topgaard D (2010) Self-diffusion in polymer systems studied by magnetic field-gradient spin-echo NMR methods. Prog Nucl Magn Reson Spectrosc 56:406–425
Labropoulos KC, Niesz DE, Danforth SC, Kevrekidis PG (2002) Dynamic rheology of agar gels: theory and experiments. Part I. Development of a rheological model. Carbohydr Polym 50:393–406
Norton IT, Goodall DM, Austen KRJ, Morris ER (1986) Dynamics of molecular organization in agarose sulfate. Biopolymers 25:1009–1029
Guenet JM, Brulet A, Rochas C (1993) Agarose chain conformation in the sol state by neutron-scattering. Int J Biol Macromol 15:131–132
Ramzi M, Rochas C, Guenet JM (1998) Structure-properties relation for agarose thermoreversible gels in binary solvents. Macromolecules 31:6106–6111
Foord SA, Atkins EDT (1989) New X-ray diffraction results from agarose: extended single helix structures and implications for gelation mechanism. Biopolymers 28:1345–1365
Mohammed ZH, Hember MWN, Richardson RK, Morris ER (1998) Kinetic and equilibrium processes in the formation and melting of agarose gels. Carbohydr Polym 36:15–26
Matsunaga N, Nagashima A (1983) Transport properties of liquid and gaseous D2O over a wide range of temperature and pressure. J Phys Chem Ref Data 12:933–966
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2015 Springer Japan
About this chapter
Cite this chapter
Matsukawa, S., Brenner, T. (2015). Diffusion Measurements of Water and Polymers in Hydrogels by Pulsed Field Gradient NMR. In: Kita, R., Dobashi, T. (eds) Nano/Micro Science and Technology in Biorheology. Springer, Tokyo. https://doi.org/10.1007/978-4-431-54886-7_6
Download citation
DOI: https://doi.org/10.1007/978-4-431-54886-7_6
Publisher Name: Springer, Tokyo
Print ISBN: 978-4-431-54885-0
Online ISBN: 978-4-431-54886-7
eBook Packages: Biomedical and Life SciencesBiomedical and Life Sciences (R0)