Table 1.

Summary of scaling exponents 〈X〉 ~ D^x for the extension of DNA as a function of the channel size in the shaded transition regime of Figure 1. The Monte Carlo simulation data correspond to long chains (L/l_p ≅ 40 and l_p/w ≅ 20) for channels sizes ranging approximately from l_p to 2l_p. For the experimental data reported in the last four rows, the parameter D is the geometric average of the channel width and height, D_av. The rectangular channels range from D_av = 60–440 nm and the tapered channels range from D_av = 100–250 nm. The two different values for T4-DNA (166.7 kilobase pairs, L = 56.7 μm) correspond to different basepair-to-dye ratios.

Approach	Exponent	Reference
Flory Theory (ν = 3/5)	−2/3	Ref. 15,33
Flory Theory (ν = 0.5877)	−0.7015	Eq. (3)
Monte Carlo Simulation	−1	Ref. 13,14
λ,-DNA, rectangular channel	−0.85±0.05	Ref. 9
λ,-DNA, tapered channel	−0.85±0.01	Ref. 34
T4-DNA, tapered channel	−0.83±0.01	Ref. 34
T4-DNA, tapered channel	−0.78±0.01	Ref. 34