← Mathematical compendium

Published equation contexts

D∝1CPP×HcellD \propto \frac{1}{\mathrm{CPP} \times H_{\mathrm{cell}}}

Why this formula appears here

Analysis. The more granular figures behind that roadmap show what CFET is actually buying, and expose the assumption underneath the 2033 date. Reporting on the same 2026 forum gives contacted poly pitch (CPP) and standard-cell height across successive nodes: A14 in 2028 at roughly 45-nanometre CPP and 115-nanometre cell height, with High-NA EUV introduced at that stage; A10 around 2030 holding CPP near 42 nanometres, a point past which “further scaling of CPP is expected to face fundamental limitations”; A7 — CFET’s likely starting point, with adoption itself described as uncertain — at that same 42-nanometre CPP; and A5, arriving around 2035–2036, still at 42-nanometre CPP but with cell…

Read the full article-specific guide →

Read the representative guide

DD

Symbol D

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

Read this term in its guide →
HcellH_{\mathrm{cell}}

Symbol H_cell

HcH_cell occurs below the fraction bar. The quantity above the bar is divided by this expression; zero is excluded as a denominator.

Read this term in its guide →
CPP×Hcell\mathrm{CPP} \times H_{\mathrm{cell}}

Denominator: CPP × H_cell

The complete quantity below the fraction bar; it must be nonzero for this division.

Read this term in its guide →

How to interpret it

With a fixed numerator, increasing a nonzero denominator reduces the fraction.

Research cited beside this formula

Published contexts (1)

A symbol can carry a different meaning in another article. Each occurrence keeps its own guide and term definitions.

D∝1CPP×HcellD \propto \frac{1}{\mathrm{CPP} \times H_{\mathrm{cell}}}

Equation 1 · Semiconductors

Advanced Semiconductor Fabrication in 2035: Scenarios, Signals, and Falsifiable Predictions

This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text.

Analysis. The more granular figures behind that roadmap show what CFET is actually buying, and expose the assumption underneath the 2033 date. Reporting on the same 2026 forum gives contacted poly pitch (CPP) and standard-cell height across successive nodes: A14 in 2028 at roughly 45-nanometre CPP and 115-nanometre cell height, with High-NA EUV introduced at that stage; A10 around 2030 holding CPP near 42 nanometres, a point past which “further scaling of CPP is expected to face fundamental limitations”; A7 — CFET’s likely starting point, with adoption itself described as uncertain — at that same 42-nanometre CPP; and A5, arriving around 2035–2036, still at 42-nanometre CPP but with cell…

Equation guide → · Article →