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Equation 6 · Part 5 · How Chiplets and Advanced Packaging Actually Work

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narea(p)  ∝  1p2,n_{\text{area}}(p) \;\propto\; \frac{1}{p^{2}},
∝

What this part means

Proportional to; the scale factor is not shown.

Its job in the formula

Proportional to; the scale factor is not shown.

The passage around this formula

Density itself is worth being precise about, because pitch and area density do not scale the same way. If interconnects sit on a roughly square grid of pitch p , the number that fit per unit area scales as narea(p)  ∝  1p2n_{\text{area}}(p) \;\propto\; \frac{1}{p^{2}}. not as 1/p . imec’s demonstrated step from 400-nanometre to 200-nanometre hybrid-bond pitch [ 4 , 3 ] is therefore not a doubling of achievable interconnect density but close to a quadrupling of it — the reason pitch numbers that look like modest, incremental reductions on a roadmap chart translate into much larger jumps in how many independent signals a bonded pair of dies can actually exchange per square millimetre.

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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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