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Equation 15 · Part 5 · Patterning at the Limit: What Actually Happens When a Chip Is Manufactured

=

Y=(1+DSc)−c,Y = \left(1 + \frac{D S}{c}\right)^{-c},
=

What this part means

The expressions on both sides represent the same quantity under the stated assumptions.

Its job in the formula

The equals sign connects the complete expression on the left with the complete expression on the right. Both sides must have compatible units.

The passage around this formula

Yield modelling then converts defect density into economics. The widely used negative binomial form is Y=(1+DSc)−cY = \left(1 + \frac{D S}{c}\right)^{-c}. with D the defect density, S the die area, and c a cluster parameter [ 16 ] . As c →\to ∞\infty the expression tends to the Poisson model Y = e−DSe^{-D S} , which assumes defects fall independently and uniformly.

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Learn the underlying idea

An equals sign says that the expression on its left and the expression on its right have the same value under the stated definitions and assumptions.

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Sources cited in the surrounding passage

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