Here are a few references. There should be good correlation between crosslink density and FV for a single type of polymer...e.g. across 0, 1, 5, 10 etc.% crosslink. I am sure there is much work done earlier (maybe '80s) that looks across a single polymer.
“Free Volumes, Glass Transitions, and Cross-links in Zinc Oxide /Waterborne Polyurethane Nanocomposites” Macromolecules, 44, 29-38 (2011) Somia Awad, Hongmin Chen, Guodong Chen, Xiaohong Gu, James L. Lee, E. E. Abdel-Hady, Y.C. Jean.
“Correlation between Free-volume Loss and Increase of Cross-Link Density of Polyurethane Coatings Due to UV Irradiation,” Polym. Mater. Sci. Eng. 85, 109-110 (2001). R. Zhang, P. Mallon, H. Chen, J. Zhang, Y. Li, C.-M. Huang, T.C. Sandreczki, Y. Huang, Y. Wu, and Y.C. Jean.
“Sorption, Diffusion, and PermSelectivity of Toluene Vapor/Nitrogen Mixtures through Polydimethylsiloxane Membrane with Two Cross-Linker Densities” J. Membrane Science, 349, 321-332 (2010) Shingjiang Jessie Lue, Chen Luen Tsai, Da-Tung Lee, K.P.O. Mahesh, Mu Yi Hua, Chien-Chieh Hu, Y.C. Jean, Kueir-Rarn Lee, Juin-Yih Lai
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