Possible Magnetic Resonance Signal Due to the Movement of Counterions around a Polyelectrolyte with Rotational Symmetry


Experimental, theoretical and computational studies revealed that the characteristic time scales involved in counterion dynamics in polyelectrolytes systems might span several orders of magnitude ranging from subnanosecond times to time scales corresponding to acoustic-like phonon mode frequencies, with an structural organization of counterions in charge density waves (CDWs). These facts raise the possibility of observing Magnetic Resonance (MR) signals due to the movement of counterions in polyelectrolytes. In case that this signal is detected in macroions or other biological systems, like micelles, vesicles, organeles, etc. with rotational symmetry, this method opens a new tool to measure with precission the counterions velocity.

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Fornés, J. (2015) Possible Magnetic Resonance Signal Due to the Movement of Counterions around a Polyelectrolyte with Rotational Symmetry. Advances in Nanoparticles, 4, 11-16. doi: 10.4236/anp.2015.41002.

Conflicts of Interest

The authors declare no conflicts of interest.


[1] Katsumoto, Y., Omori, S., Yamamoto, D., Yasuda, A. and Asami, K. (2007) Dielectric Dispersion of Short Single-Stranded DNA in Aqueous Solutions with and without Added Salt. Physical Review E, 75, Article ID: 011911.
[2] Manning, G.S. (1993) A Condensed Counterion Theory for Polarization of Polyelectrolyte Solutions in High Fields. The Journal of Chemical Physics, 99, 477-485. http://dx.doi.org/10.1063/1.465772
[3] Borukhov, I., Lee, K.C., Bruinsma, R.F., Gelbart, W.M., Liu, A.J. and Stevens, M.J. (2002) Association of Two Semiflexible Polyelectrolytes by Interchain Linkers: Theory and Simulations. The Journal of Chemical Physics, 117, 462-480. http://dx.doi.org/10.1063/1.1481382
[4] Hinderberger, D., Spiess, H.W. and Jeschke, G. (2004) Dynamics, Site Binding, and Distribution of Counterions in Polyelectrolyte Solutions Studied by Electron Paramagnetic Resonance Spectroscopy. The Journal of Physical Chemistry B, 108, 3698-3704. http://dx.doi.org/10.1021/jp036043u
[5] Prabhu, V.M., Amis, E.J., Bossev, D.P. and Rosov, N. (2004) Counterion Associative Behavior with Flexible Polyelectrolytes. The Journal of Chemical Physics, 121, 4424-4429.
[6] Morfin, I., Horkay, F., Basser, P.J., Bley, F., Hecht, A.M., Rochas, C. and Geissler, E. (2004) Adsorption of Divalent Cations on DNA. Biophysical Journal, 87, 2897-2904.
[7] Popov, A. and Hoagland, D.A. (2004) Electrophoretic Evidence for a New Type of Counterion Condensation. Journal of Polymer Science Part B: Polymer Physics, 42, 3616-3627. http://dx.doi.org/10.1002/polb.20200.
[8] Schwarz, G. (1956) Zur Theorie der Leitfähigkeitsanisotropie von Polyelektrolyten in Lösung. Zeitschrift für Physik, 145, 563-584.
[9] Schwarz, G. (1959) über die Dispersion des Orientierungsfeldeffektes von Polyelektrolyten in hoehfrequenten elektrischen Feldern. Zeitschrift für Physikalische Chemie, 19, 286-314. http://dx.doi.org/10.1524/zpch.1959.19.5_6.286
[10] Mandel, M. (1961) The Electric Polarization of Rod-Like, Charged Macromolecules. Molecular Physics, 4, 489-496.
[11] Fornés, J.A. (1998) Thermal Electrical Fluctuations around a Charged Colloidal Cylinder in an Electrolyte. Physical Review E, 57, 2104-2109. http://dx.doi.org/10.1103/PhysRevE.57.2104
[12] Fornés, J.A. (1998) Fluctuation-Dissipation Theorem and the Polarizability of Rodlike Polyelectrolytes: An Electric Circuit View. Physical Review E, 57, 2110-2114.
[13] Fornés, J.A. (2000) Dielectric Relaxation around a Charged Colloidal Cylinder in an Electrolyte. Journal of Colloid and Interface Science, 222, 97-102.
[14] Kim, W.K. and Sung, W. (2008) Charge Density Coordination and Dynamics in a Rodlike Polyelectrolyte. Physical Review E, 78, Article ID: 021904.
[15] Karatasos, K. and Krystallis, M. (2009) Dynamics of Counterions in Dendrimer Polyelectrolyte Solutions. The Journal of Chemical Physics, 130, Article ID: 114903.
[16] Lo, T.S., Khusid, B. and Koplik, J. (2008) Dynamical Clustering of Counterions on Flexible Polyelectrolytes. Physical Review Letters, 100, Article ID: 128301.
[17] Chang, R. and Yethiraj, A. (2002) Brownian Dynamics Simulations of Salt-Free Polyelectrolyte Solutions. The Journal of Chemical Physics, 116, 5284. http://dx.doi.org/10.1063/1.1453396
[18] Woolf, N.J., Priel, A. and Tuszynski, J.A. (2009) Structural and Functional Roles of the Neuronal Cytoskeleton in Health and Disease. Springer, Heidelber, Dordrecht, London, New York, 88.
[19] Serway, R.A. (1992) Physics for Scientists & Engineers with Modern Physics. 3rd Edition, Saunders Golden Sunburst Series, Philadelphia, London, 839.
[20] Jackson, J.D. (1963) Classical Electrodynamics. 3rd Edition, John Wiley & Sons, Inc., New York, London, 150.

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