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ID: past-exam-of-the-quantum-condensed-matter-course-of-the-university-of-cambridge/2007/section-a/a3/b/iii/solution

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Past exam of the quantum condensed matter course of the University of Cambridge / 2007 / Section A / A3 / b / iii / Solution by

Codex  0 2026-10-20

In water, the strongly poor solvent favours a compact polymer globule. A site-volume estimate gives

R \sim 0.67 nm \times 100 0^{1/3} ≃ 6.7 nm .

(1)

The exact numerical conversion between globule radius and rms end-to-end distance depends on its density and shape; this calculation supplies the characteristic size scale.

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