Equation 2 · Part 3 · Chiplets and Advanced Packaging in 2035: Scenarios, Signals, and Falsifiable Predictions
Symbol p^2
What this part means
the square of p; the pitch.
Its job in the formula
occurs below the fraction bar. The quantity above the bar is divided by this expression; zero is excluded as a denominator.
Full expression→Symbol p^2→Article meaning
Where the article explains it
For interconnects arranged on a roughly square grid at pitch p , the number of connections available per unit of bonding area scales as .
The passage around this formula
Analysis. The physical reason pitch matters this much is a simple scaling relationship worth making explicit. For interconnects arranged on a roughly square grid at pitch p , the number of connections available per unit of bonding area scales as . Halving the pitch is therefore not a doubling of available interconnect density; it is close to a quadrupling. That is the assumption doing the work every time a packaging roadmap reports a pitch number: the 2024-to-2026 move from 400 to 200 nanometres in imec and EV Group’s demonstrated wafer-to-wafer results is not a twofold gain in what a fixed bonding area can carry, it is closer to a fourfold one [ 5 , 4 ] . The comparison…
Learn the underlying idea
An exponent tells how a base is used in multiplication. In x³, x is the base and 3 is the exponent: x³ = x × x × x.
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Sources cited in the surrounding passage
These citations provide research context; check each source for the exact claim it supports.