Journal of The Electrochemical Society, 149 ͑12͒ C637-C641 ͑2002͒
C641
significantly smaller than the anticipated 135-150 m boundary
layer thickness. Furthermore, for some blocks is significantly
higher than the values noted previously. Indeed, the general increase
of deposition times beyond the predicted values for all via spacings
as well as the relatively small impact of via spacing on deposition
times are both consistent with such a global depletion effect.
The spatially periodic geometry does lend itself to quantitative
analysis through the calculus of partial differential equations with
boundary values. Such analysis has been done, for example, to study
the impact of spatially varying area for deposition ͑achieved by local
variation of coverage with photoresist͒ on the electrical potential
and resulting deposition.13 Variations of feature density on the wa-
fer, or specimen, scale require an additional level of calculation to
deal with concentration variations as electrolyte moves over regions
of varying pattern density.14,15
the filling of the feature. According to the CEAC model, this leads to
a decrease of the catalyst coverage on that surface and an extended
incubation period. However, this would have the greatest effect
when the bottom surface is moving up significantly, experiencing
the changing radius, as during the period of superconformal deposi-
tion. It would not be expected to substantially extend the incubation
period.
Conclusions
Filling of vias with silver, copper, and nickel was studied experi-
mentally and then modeled. Feature filling during both copper and
silver deposition exhibits the bottom-to-top deposition characteristic
of superconformal growth. Feature filling during the nickel deposi-
tion occurs through geometrical leveling with no evidence of super-
conformal filling behavior. A model based on the CEAC mechanism
of superconformal deposition was used to predict the superconfor-
mal filling with copper and silver. As with previous applications of
CEAC-based models describing superconformal deposition in
trenches, the predictions for superconformal filling of vias are based
entirely on kinetics obtained from studies of deposition on planar
specimens. The model predicts the superconformal filling behavior,
including an incubation period of conformal growth and subsequent
superconformal bottom-to-top filling. Possible explanations for the
underestimated duration of the incubation period were detailed.
Incorrect or inappropriate kinetics.—The parameters used for
the copper fill modeling are for electrolyte containing the additive
3-mercapto-1-propanosulfonate ͑MPSA͒ rather than the dimer ver-
sion bis-͑sodium sulfopropyl͒-disulfide ͑SPS͒ actually used in the
experiments. They were obtained from analysis of hysteresis in cy-
clic current-voltage experiments conducted on planar substrates in
electrolytes containing various concentrations of MPSA.5 To ac-
count for the dimer nature of SPS, an MPSA concentration of twice
the experimental SPS concentration was used in the modeling. The
relevant parameters for the electrolyte with SPS are not presently
available; it is, however, known that the kinetics for adsorption of
SPS from the electrolyte are slower than for MPSA ͑as quantified by
the factor k() in Table II͒.16 Slower deposition, and associated area
reduction, would be expected to lead to a longer conformal growth
period, possibly explaining the discrepancy in the incubation period.
For the silver deposition, in light of the significant unknowns about
the composition of the proprietary electrolyte, it is possible that the
associated kinetic parameters in Table II are also inaccurate.
The National Institute of Standards and Technology assisted in meeting
the publication costs of this article.
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Incorrect boundary layer thickness.—Spatial and temporal varia-
tion of boundary layer thickness can be significant for a vertical
specimen in an unstirred solution like that used in these experi-
ments, as well as in the studies on planar substrates used to obtain
the kinetic parameters. Indeed, for an electrolyte of similar compo-
sition to that for copper in Table I ͑without additives͒, the local
current decreases monotonically with increasing height on the speci-
men, with a fractional decrease of ϳ40% going up the first 1 cm
from the specimen bottom and an additional ϳ20% going up the
next cm.17 Specimen-to-specimen variation arising from this effect
was reduced in these experiments through the study of only those
features located at and less than 3 mm above the specimen midplane
͑i.e., 1-1.3 cm above the specimen bottom͒. However, accurate as-
sessment and application of the kinetics with a CEAC-based model,
as with any other model, requires control of the boundary layer
thickness, e.g., through a rotating disk geometry. There is no signifi-
cant spatial variation of the potential for the specimen geometry and
deposition conditions used here.
Nonideal via geometry.—The nonvertical sidewalls of the pat-
terned via make the model in Ref. 8, with its vertical sidewalls, an
approximation of the experiments actually being modeled. Due to
the sloping sidewalls, the area of the bottom surface increases as it
moves upward. This offsets the area decrease that is associated with
16. Authors’ preliminary, unpublished results.
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