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λ≈2d\lambda \approx 2d

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describes why the stack works at all: at near-normal incidence, θ\theta is small and cos⁡\cosθ\theta is close to one, so the first-order condition reduces to roughly λ\lambda ≈\approx 2d , meaning a bilayer period d of a little under 7 nanometers should reflect strongly somewhere near 13.5–14 nanometers. Measurement bears this out closely rather than exactly: one recent study of Mo/Si multilayers built for EUV optics reports bilayer periods of 6.97 to 7.07 nanometers across fifty complete bilayers, with reflectivity near 65 percent at near-normal incidence around 10.7 degrees, interface widths of about 0.3 to 0.4 nanometers combining roughness and interdiffusion, and surface roughness held below 0.2…

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λ\lambda

Symbol λ

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λ≈2d\lambda \approx 2d

Equation 4 · Semiconductors

How Advanced Semiconductor Fabrication Actually Works

This equation gives an approximation: it relates the quantities while allowing an approximation.

describes why the stack works at all: at near-normal incidence, θ\theta is small and cos⁡\cosθ\theta is close to one, so the first-order condition reduces to roughly λ\lambda ≈\approx 2d , meaning a bilayer period d of a little under 7 nanometers should reflect strongly somewhere near 13.5–14 nanometers. Measurement bears this out closely rather than exactly: one recent study of Mo/Si multilayers built for EUV optics reports bilayer periods of 6.97 to 7.07 nanometers across fifty complete bilayers, with reflectivity near 65 percent at near-normal incidence around 10.7 degrees, interface widths of about 0.3 to 0.4 nanometers combining roughness and interdiffusion, and surface roughness held below 0.2…

Meanings in this article

  • dd: the meaning a bilayer period.
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