In a population of rod-shaped molecules

PHYSICS · Subjective · Fermi University Physics · Condensed Matter, Materials & Soft Matter · Soft condensed matter · Soft condensed matter

Condensed Matter Physics, Ch Soft matter: when entropy, not bonding, sets the structure

Problem

In a population of rod-shaped molecules, half point exactly along the director (θ=0∘\theta=0^\circ) and half point exactly perpendicular to it (θ=90∘\theta=90^\circ). Find the order parameter Sn=⟨32cos⁡2θ−12⟩S_n=\langle\tfrac32\cos^2\theta-\tfrac12\rangle for this population.

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