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. Author manuscript; available in PMC: 2012 Aug 23.
Published in final edited form as: Macromolecules. 2011 Aug 23;44(16):6594–6604. doi: 10.1021/ma201277e

Table 3.

Summary of the results for the different regimes of confinement in Figure 1. In the text, we normally refer to Transition II as the extended de Gennes regime. The minimum chain length is the size of the deflection segment or blob, as appropriate, and does not include numerical prefactors. The minimum chain length for entering regime I is unknown and there is no minimum chain length for the bulk. Based on Figure 3, the prefactor for the bulk extension should be between 1.5 and 2.2. The upper bound for D in the de Gennes regime is approximate.

Regime Extension (〈X〉) Minimum Chain Length Channel Size
Odijk Eq. (1) D 2/3 lp13 Dlp
I D −1.02 lp < D < 2lp
II D (ν−1)/ν lp13D43w23 2lp<D<lp2w1
de Gennes D (ν−1)/ν lp3w2 lp2w1<D<Rg
Bulk Rg — - D > Rg