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Equation 2 · Part 1 · Patterning at the Limit: What Actually Happens When a Chip Is Manufactured

Symbol λ

λ\lambda
λ\lambda

What this part means

the exposure wavelength, NA\mathrm{NA} is the numerical aperture of the projection optics.

Its job in the formula

λ is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

Where the article explains it

where λ\lambda is the exposure wavelength, NA\mathrm{NA} is the numerical aperture of the projection optics, and k1k_1 is a dimensionless process factor absorbing illumination scheme, mask engineering and resist behaviour.

The passage around this formula

where λ\lambda is the exposure wavelength, NA\mathrm{NA} is the numerical aperture of the projection optics, and k1k_1 is a dimensionless process factor absorbing illumination scheme, mask engineering and resist behaviour. Two-beam interference sets a hard floor: for a periodic line-and-space pattern the smallest printable half-pitch is λ\lambda / (2\,NA\mathrm{NA}) , which is k1k_1 = 0.25 in the convention where R is a half-pitch. Everything the industry calls resolution enhancement — off-axis illumination, phase shifting, optical proximity correction, inverse lithography — is an attempt to drive k1k_1 down toward that floor without printing garbage.

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Learn the underlying idea

A variable is a named place for a value. Its letter is a local label: x can mean position in one formula and a data point in another.

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Sources cited in the article section

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