Solution

ID: past-exam-of-the-mphil-in-micro-and-nanotechnology-enterprise-course-of-the-university-of-cambridge/2018/paper-2/section-a-ii/13/iv/solution

For the nonbiology fabrication objective, reduce unwanted dipolar coupling while preserving a useful single-particle dynamic response. Lithographically reduce magnetic volume or adjust aspect ratio to control and magnetic anisotropy. Reducing reduces the characteristic pair interaction approximately as , but also changes and relaxation time.
A nonmagnetic spacer coating or stable surface layer can maintain minimum center-to-center separation after release and reduce aggregation. At a fixed magnetic volume fraction this geometric constraint has a real packing cost; separation cannot be increased without limit while claiming unchanged loading.
Tune particle volume, magnetic anisotropy and spacing together, then measure dynamic susceptibility/loop area at the specified temperature and frequency. In a simple single-relaxation model, useful phase lag occurs near ; making particles so small that reversal is essentially instantaneous can reduce dissipative response. Clinical treatment optimization remains user-deferred; these are materials/fabrication controls, not a treatment recommendation.

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