Determination of Viscosity Average Molecular Weight from Number and Weight Average Molecular Weights

Eun Soo Park; Jin San yoon

Korea Polymer Journal, Vol.8, No.5, 243-245, October, 2000

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Determination of Viscosity Average Molecular Weight from Number and Weight Average Molecular Weights

Eun Soo Park, and Jin San yoon^†

Department of Polymer Science and Engineering, Inha University, inchon 402-751, Korea

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A theoretical equation for the viscosity average molecular weight is derived as M_{υ={(1/y^a) (I(z+a+1)/(I(z+1)}^1/a(M₀, where the adjustable parameters, y and z, of the Schultz-Zimm distribution can be determined from the number and weight average molecular weights. When the value of the exponent, a, appearing in the relation between the intrinsic viscosity and the viscosity average molecular weight, is in the range from 0.6 to 0.8, as is the case for the most polymers, the viscosity average molecular weight is much more close to the weight average molecular weight than to the number average molecular weight.}

[References]

Kurata M, Tsunashima Y, Iwama M, Kamada K, Polymer Handbook, J. Brandrup and E.H. Immergut, Eds., John Wiley and Sons, New York, 1975, Ch. 4 (1975)
Billmeyer FW, Text book of Polymer Science, 3rd Ed., John Wiley and Sons, New York, 1984, Ch. 8 (1984)
Zimm BH, J. Chem. Phys., 16, 1099 (1948)
A Computer Program is Available upon Request for Calculation of the Gamma Function

[Related Articles]

[1] Kurata M, Tsunashima Y, Iwama M, Kamada K, Polymer Handbook, J. Brandrup and E.H. Immergut, Eds., John Wiley and Sons, New York, 1975, Ch. 4 (1975)

[2] Billmeyer FW, Text book of Polymer Science, 3rd Ed., John Wiley and Sons, New York, 1984, Ch. 8 (1984)

[3] Zimm BH, J. Chem. Phys., 16, 1099 (1948)

[4] A Computer Program is Available upon Request for Calculation of the Gamma Function