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Equation 6 · Part 1 · How Chiplets and Advanced Packaging Actually Work

Symbol n_area

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

What this part means

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

Its job in the formula

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

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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