Polymer Brush — Grafted Chains

Parameters

Grafting density σ: 0.30 chains/nm² Chain length N: 100 monomers Monomer size b: 0.5 nm Solvent quality χ: 0.0

Brush height H—

D (spacing)—

Regime—

Alexander–de Gennes brush:
H ≈ N·b·(σb²)^(1/3) in good solvent.
Density profile: parabolic (Milner-Witten-Cates).
φ(z) = φ₀[1−(z/H)²]³/⁵ for good solvent.
Mushroom regime: σ < R_F⁻²; brush: σ > R_F⁻².