Physics:Huggins equation
The Huggins Equation is an empirical equation used to relate the reduced viscosity of a dilute polymer solution to the concentration of the polymer in solution. It is named after Maurice L. Huggins. The Huggins equation states: [math]\displaystyle{ \frac{\eta_s}{c}= [\eta] + k_H [\eta]^2 c }[/math]
Where [math]\displaystyle{ {\eta_s} }[/math] is the specific viscosity of a solution at a given concentration of a polymer in solution, [math]\displaystyle{ [\eta] }[/math] is the intrinsic viscosity of the solution, [math]\displaystyle{ k_H }[/math] is the Huggins coefficient, and [math]\displaystyle{ c }[/math] is the concentration of the polymer in solution.[1] In isolation, [math]\displaystyle{ n_s }[/math] is the specific viscosity of a solution at a given concentration.
The Huggins equation is valid when [math]\displaystyle{ [\eta]c }[/math] is much smaller than 1, indicating that it is a dilute solution.[2] The Huggins coefficient used in this equation is an indicator of the strength of a solvent. The coefficient typically ranges from about [math]\displaystyle{ 0.3 }[/math] (for strong solvents) to [math]\displaystyle{ 0.5 }[/math] (for poor solvents).[3]
The Huggins equation is a useful tool because it can be used to determine the intrinsic viscosity, [math]\displaystyle{ [\eta] }[/math], from experimental data by plotting [math]\displaystyle{ \frac{\eta_s}{c} }[/math]versus the concentration of the solution, [math]\displaystyle{ c }[/math].[4][5]
See also
References
- ↑ Alger, Mark (1996). Polymer science dictionary (2nd ed.). London: Chapman & Hall. p. 249. ISBN 0412608707.
- ↑ Young, Robert J.; Lovell, Peter A. (1991), "Introduction", Introduction to Polymers (Springer US): pp. 1–14, doi:10.1007/978-1-4899-3176-4_1, ISBN 9780412306402
- ↑ Seidel, Arza (2008). Characterization analysis of polymers. Hoboken, N.J.: Wiley-Interscience. p. 687. ISBN 978-0-470-23300-9.
- ↑ Cowie, John M. G. (2008). Polymers : chemistry and physics of modern materials. Taylor & Francis. ISBN 978-0849398131. OCLC 610115193.
- ↑ Pamies, Ramón; Ginés Hernández Cifre, José; López Martínez, María del Carmen; García de la Torre, José. "Determination of intrinsic viscosities of macromolecules and nanoparticles. Comparison of single-point and dilution procedures". Colloid Polym Sci. http://leonardo.inf.um.es/macromol/publications/193CPS08.pdf. Retrieved 6 March 2017.
 |  |
