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Zhong, J. Crosslinking Density. Encyclopedia. Available online: https://encyclopedia.pub/entry/61970 (accessed on 12 November 2026).
Zhong J. Crosslinking Density. Encyclopedia. Available at: https://encyclopedia.pub/entry/61970. Accessed November 12, 2026.
Zhong, Jack. "Crosslinking Density" Encyclopedia, https://encyclopedia.pub/entry/61970 (accessed November 12, 2026).
Zhong, J. (2026, November 05). Crosslinking Density. In Encyclopedia. https://encyclopedia.pub/entry/61970
Zhong, Jack. "Crosslinking Density." Encyclopedia. Web. 05 November, 2026.

Crosslinking Density

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Crosslinking density is the number of network junctions per unit volume of a polymer, or equivalently the molar concentration of elastically effective chains [1]. It is obtained from the equilibrium swelling ratio through the Flory-Rehner relation or from the rubbery plateau modulus through rubber-elasticity theory, and both routes assume affine deformation of the network [1]. The value sets the distance between junctions relative to the contour length of the chain, and with it the modulus, the solvent uptake and the resistance to creep [2]. Junctions formed by covalent bonds, by ionic aggregates or by physical entanglements count differently, so the quantity is defined against the junction type it counts [2]. Probe diffusion through the network slows as the density rises, because the mesh size limits transport [3].

crosslink density flory-rehner equation rubber elasticity mesh size swelling ratio
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References

  1. Walta, S.; Di Lorenzo, F.; Ma, K.; Wiesner, U.; Richtering, W.; Seiffert, S. Diffusion of rigid nanoparticles in crowded polymer-network hydrogels: dominance of segmental density over crosslinking density. Colloid and Polymer Science 2017, 295, 1371-1381. [CrossRef]
  2. Baruel, A.F.; Petroni, S.L.G.; de Mello, S.A.C.; Dutra, J.C.N.; Cassu, S.N. Processability and Crosslink Density: Role of Peptizers in Natural Rubber and Chlorobutyl Rubber. Journal of Applied Polymer Science 2026, 143, e70703. [CrossRef]
  3. Bornstein, D.; Pazur, R. The sulfur reversion process in natural rubber in terms of crosslink density and crosslink density distribution. Polymer Testing 2020, 88, 106524. [CrossRef]
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Update Date: 06 Nov 2026
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