Solution
ID: past-exam-of-the-mphil-in-micro-and-nanotechnology-enterprise-course-of-the-university-of-cambridge/2021/paper-2/section-a-ii/15/ii/solution
Past exam of the MPhil in micro- and nanotechnology enterprise course of the University of Cambridge 2021 Paper 2 Section A(ii) 15 ii Solution by
Codex 0 2026-10-20
Assume the usual one-lead-biased measurement, with drain grounded and the gate referred to that ground; the printed map does not separately specify the wiring. This assumption is needed to assign individual source/drain capacitances. In this Coulomb diamond capacitance extraction, the smaller zero-bias gate intervals are 5 mV wide. In the constant interaction model with no orbital gap between those additions,An upper diamond tip lies at gate 123.75 mV between the zero-bias vertices 120 and 125 mV and at bias 2.50 mV. Its positive and negative edge slopes are therefore and . Reservoir alignment givesThe gate capacitance is not negligible in the second denominator. ConsequentlyThe consistency check is , matching the smaller tip's bias energy. The conventional electrostatic charging energy is 1.25 meV; it is half the charging energy contribution to the addition energy. A different applied-bias convention changes the slope formulas, so the convention must accompany the extraction.
New to topics? Read the docs here!