1999
DOI: 10.1149/1.1391678
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Two‐Dimensional Wafer‐Scale Chemical Mechanical Planarization Models Based on Lubrication Theory and Mass Transport

Abstract: The effects of the variation of chemical mechanical planarization (CMP) process parameters on slurry hydrodynamics and removal rate are studied using physically based models. The two models which are developed to describe and fundamentally understand the CMP process are (i) the lubrication model for slurry flow and (ii) the mass transport model for material removal. The mass transport model is developed for copper CMP. Conditions for stable operation and reduced wafer scratching are identified from the lubrica… Show more

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Cited by 134 publications
(103 citation statements)
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“…Although the possible existence of both the lubrication regime and the contact regime in chemical mechanical planarization was acknowledged by Thakurta et al [48] in 2000, in a series of later papers [49,50,51] the group presented models for chemical mechanical planarization principally focused on the hydrodynamic lubrication regime. The work assumed that the applied pressure was low enough and the relative velocity high enough to ensure that there was hydrodynamic fluid film behavior.…”
Section: 31mentioning
confidence: 99%
See 1 more Smart Citation
“…Although the possible existence of both the lubrication regime and the contact regime in chemical mechanical planarization was acknowledged by Thakurta et al [48] in 2000, in a series of later papers [49,50,51] the group presented models for chemical mechanical planarization principally focused on the hydrodynamic lubrication regime. The work assumed that the applied pressure was low enough and the relative velocity high enough to ensure that there was hydrodynamic fluid film behavior.…”
Section: 31mentioning
confidence: 99%
“…Both two-dimensional and three-dimensional models were presented. Several studies also included a mass transport model to take into account chemical reaction at the wafer surface for the polishing of copper [49,51]. Other work which considered both the fluid and chemical aspects of chemical mechanical polishing includes that by Subramanian et al [52] who modeled CMP of copper using a repeated cell model.…”
Section: 31mentioning
confidence: 99%
“…pad conditioning, slurry type and pad surface asperity. [9][10] The wafer level fluctuation leads to pressure distribution fluctuation. That means that actual removal profile depends on not only static pressure distribution but also dynamic and lubrication condition.…”
Section: Discussionmentioning
confidence: 99%
“…whereR is given by,R = 1 n n k=1 R k [8] According to the evaluation between pressure non-uniformity and removal non-uniformity, it was verified that the pressure integration non-uniformity and the actual removal non-uniformity have a strong correlation with a correlation coefficient of 0.99. The result supports that polishing pressure is a dominant factor to determine removal rate strongly.…”
Section: Correlation Between Pressure Integration Profile and Actualmentioning
confidence: 97%
“…With the development of high-performance electrical products, CMF has to be improved to meet even more stringent requirements, and even will face new challenges. The above factors serve as incentives to deepen the basic understanding of material removal mechanisms for super-precision surface finishing [2]. However, to date, the mechanism of material removal from the wafer is still unclear and ambiguous because the difficultly in extracting information about basic mechanisms of CMF can hardly be overcomerS].…”
mentioning
confidence: 99%