Solution

ID: past-exam-of-the-mphil-in-micro-and-nanotechnology-enterprise-course-of-the-university-of-cambridge/2017/paper-1/section-a-ii/4/ii/solution

In the intended additive-deposition model, A originally contributes . At equal incorporated contributions, B also supplies , giving . Equivalently, the new total incorporated flux is times the calibrated total.
There is a composition-convention qualification. If the percentages represent mass flux and the mass density stays fixed, the preceding thickness calculation follows directly. If they instead represent atomic fractions, a constant atomic number density would justify the same result, whereas constant mass density alone does not. With atomic masses and constant mass density, the ratio would be
The PDF does not specify atomic versus mass percentages or the two elements. Thus 1.54 nm/s is the intended common flux-to-thickness approximation, and the formula above states the additional dependence if atomic fraction and constant mass density are meant literally.

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