Journal of The Electrochemical Society, 147 (11) 4307-4312 (2000) 4307
S0013-4651(00)04-093-3 CCC: $7.00 © The Electrochemical Society, Inc.
Chemical mechanical polishing (CMP) is widely used for pla-
narization of advanced interconnect and shallow trench isolation
structures in integrated circuit manufacture. Of particular concern is
within-die variation in the interlevel dielectric or oxide thickness
remaining after polish, due to pattern density variations across the
die.
1
Recent modeling of CMP has shown that a “planarization
length” parameter, corresponding to the length scale over which
raised topography (or pattern density) within a die affects local pol-
ishing rate, can be used to predict within-die polish performance.
2
As shown by Stine et al., the planarization length PL is the size of
an averaging window used to calculate the “effective density” of
raised features on the wafer that the CMP process and pad see dur-
ing polishing.
3
The local oxide removal rate is then
[1]
where z is the oxide thickness and K is the blanket polish rate. The
effective pattern density is a function of location x,y on the die, as
calculated using the planarization length PL and chip layout infor-
mation. Once PL has been determined for a given process, accurate
simulation of the within-die thickness profile and nonuniformity re-
sulting from CMP can be performed for a given layout.
4
This paper utilizes statistical and semiphysical modeling tech-
niques to help understand how planarization length varies across
process conditions, as well as within a given wafer. The next section
discusses the experimental layout pattern and process conditions
used, followed by description of the planarization length extraction
procedure. The results of the experiment are then presented, in
which the effect on planarization length is characterized as a func-
tion of down pressure, table speed, and die position within the wafer.
We offer observations on the trade-offs between wafer scale removal
rate uniformity, planarization length, and within-die total indicated
range. Finally, we summarize our findings and suggest future work.
Experimental
A total of fifteen 200 mm wafers are prepared with a specialized
CMP characterization test pattern, and then subjected to five combi-
nations of table speed and down pressure CMP process conditions.
The test wafers are fabricated with a blanket polyethylene tetraethyl-
orthosilicate (PETEOS) film of 7500 Å, upon which 1 m alu-
minum is deposited. The metal film is patterned using the density
mask from the MIT CMP characterization mask set.
3
This 12 mm
dz
dt
K
x y PL
=
-
(, , )
mask has a 1 mm buffer region around 25 square density blocks,
each block being 2 mm in dimension and consisting of an array of
patterned lines and spaces sized to generate a desired pattern densi-
ty as shown in Fig. 1. The designed (local) pattern densities increase
in steps of 4% from a density of 4% in the bottom left corner of the
mask to 100% in the top right corner. After metal patterning, a com-
bination of PETEOS and high density plasma (HDP) SiO
2
is
deposited to give an initial measured oxide thickness before CMP
between 2.65 and 2.7 m. The resulting initial oxide step height
ranges from 0.92 to 0.94 m across the two test lots processed.
The process conditions employed during the CMP process split
are summarized in Table I. The experiment is a two factor, two level
full factorial with additional center point. The first factor is table
speed, with factor levels at high speed (HS) of 54 rotations per minute
(rpm), medium speed (MS) of 37 rpm, and low speed (LS) of 20 rpm;
the second factor is down pressure with factor levels at HP of 7.74
pounds per square inch (psi), MP of 6.71 psi, and LP of 5.69 psi. In
each case, the polishing time is selected so as to remove approxi-
mately 1.0 m of the oxide film in the 100% density structure; this
ensures that the entire step height is removed from all structures dur-
Wafer Scale Variation of Planarization Length in
Chemical Mechanical Polishing
Charles Oji, Brian Lee,* Dennis Ouma,Taber Smith, Jung Yoon, James Chung, and Duane Boning**
,z
Microsystems Technology Laboratories, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA
Chemical mechanical polishing (CMP) has become the preferred planarization method for multilevel interconnect technology due
to its ability to achieve a high degree of feature level planarity. However,methods are needed to understand and model both wafer
level and die level uniformity in interlevel dielectric (oxide) polishing. This paper examines the variation of die level planarity
across the wafer and at different process conditions. Substantial dependency of planarization length, a characteristic length which
determines die level planarity, on table speed and down pressure is found, varying from 6.2 to 7.8 mm in the experiments consid-
ered here. In addition, a dependence of planarization length on die position within the wafer is found, varying by 0.5 mm across
the wafer resulting in a difference of 300 Å total indicated range from one die to the next. Some die are impacted even more
strongly resulting in much smaller planarization lengths (near 5.0 mm in some cases) due to wafer edge effects. We conclude that
accurate modeling and optimization of within-die variation depends on accurate modeling and measurement of not only wafer scale
removal rate variation but also wafer scale planarization length variation.
© 2000 The Electrochemical Society. S0013-4651(00)04-093-3. All rights reserved.
Manuscript submitted April 26, 2000; revised manuscript received July 20, 2000.
** Electrochemical Society Student Member.
** Electrochemical Society Active Member.
*
z
E-mail: boning@mtl.mit.edu
Figure 1. Layout mask used in CMP experiments, where layout density
varies from 4% in lower left to 100% in upper right.