Copper CMP: The Relationship between Polish Rate Uniformity and Lubrication
Bibliographic record
Abstract
Chemical Mechanical Polishing of Copper (Cu-CMP) is an important yet poorly-understood nanofabrication technique. In this work, we demonstrate that the degree of non-uniformity in polishing rates, described by the new quantity MRRNU , relates to the lubrication conditions of the polishing couple. MRRNU is the difference between the highest and lowest material removal rates ( MRR s) recorded across the wafer surface, normalized by the average MRR . The polish rate non-uniformity that this quantity encapsulates is shown to transition from negative (wafer-scale dishing) to positive (wafer-scale doming) with increasing Sommerfeld number, for the pad and slurry chemistry used here. This is explained by the presence of co-existing lubrication zones in the pad-wafer interface. Each of the zones described, namely the edge zone , hydrodynamic zone and suppression zone , demonstrate a different relationship between pressure and removal rate, resulting in variation in MRR across the wafer.
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How this classification was reachedexpand
Full frame machine prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. The Gemma side is a direct model label for every work in the frame, read from the title-only record. The Codex side is a classifier learned from the 10,348 direct Codex labels and calibrated to design-weighted sample rates; fields without enough sample support carry no Codex call. Candidate is the union of the two sides; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels.
Distilled classifier scores by category (both heads)
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.001 | 0.004 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.001 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.001 | 0.000 |
Machine scores (provisional)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from itClassification
machine, unvalidatedMachine predicted; a candidate call from one source (direct Gemma or distilled Codex), not a consensus.
How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".