Inherent viscosity

In polymer science, inherent viscosity is the ratio of the natural logarithm of the relative viscosity of a polymer to its mass concentration.[1] Inherent viscosity scales inversely to mass density, and a common unit is dL/g.

Inherent viscosity is defined as [2] ηinh=ln⁡ηrelc where c is the mass concentration of the polymer and ηrel is the relative viscosity, which is defined as ηrel=ηηs where η is the viscosity of the solution and ηs is the viscosity of the solvent.

The definition of ηinh is a finite difference approximation to the derivative d(ln⁡(η))dc|c=0 That ideal limiting value is the intrinsic viscosity,[3][4] which is a good measure of the polymerization degree.[5][6]

## References

1. ↑ "Dilute Solution Viscosity of Polymers". http://www.ptli.com/testlopedia/tests/iv-d2857.asp.
2. ↑ "IUPAC". doi:10.1351/goldbook.I03033. http://goldbook.iupac.org/I03033.html.
3. ↑ Hester, Roger (2001). "Molecular Weight Determination By Dilute Solution Viscosity Measurements". University of Southern Mississippi. https://www.pslc.ws/macrog/lab/dsvh.htm.
4. ↑ Osuji 2009, §1.3: Intrinsic viscosity determination.
5. ↑ Osuji, Chinedum (February 5, 2009). "Size and Mass Characterization - Non Scattering (notes for ENAS 606: Polymer Physics)". Yale University. §1.2.1: Intrinsic viscosity. https://www.eng.yale.edu/polymers/docs/classes/polyphys/lecture_notes/5/handout5_w.html. Note that there are several typos in Osuji's displays, including an extra "c" in equation (7; §1.3); and a missing logarithm in the initial definition of inherent viscosity (§1.1).
6. ↑ "Reference: Polymer Properties". Sigma-Aldrich. p. 51. https://www.sigmaaldrich.com/deepweb/assets/sigmaaldrich/marketing/global/documents/280/103/viscosity.pdf.

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