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Claims  |
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What is claimed is:
1. An electrostatic chuck comprising a substrate, an insulating layer
disposed on said substrate for attracting a workpiece thereto, and an
electrode interposed between said substrate and said insulating layer,
said insulating layer having a volume resistivity .rho.(.OMEGA.m), a
dielectric constant .epsilon..sub.r at a normal temperature of usage of
the electrostatic chuck, and a thickness d (m), and being spaced from the
workpiece which is attracted thereto by a gap having a distance
.delta.(m), said volume resistivity .rho., said dielectric constant
.epsilon..sub.r, said thickness d, and said distance .delta. satisfying
the following relationship:
1.731.times.10.sup.-11 .rho.{.epsilon..sub.r +d/.delta.}<60
so that a residual electrostatic force of the electrostatic chuck on a
workpiece will be rapidly reduced at said normal temperature of usage.
2. An electrostatic chuck according to claim 1, wherein said insulating
layer is made of a sintered ceramic material comprising alumina, titania
or chromia, and a silicon oxide or an oxide of alkaline earth metal.
3. An electrostatic chuck according to claim 1, wherein said insulating
layer is made of a sintered ceramic material comprising Si.sub.3 N.sub. 4
SiC, AlN, ZrO.sub.2, SiO.sub.2 .Al.sub.2 O.sub.3, or BN.
4. An electrostatic chuck according to claim 1, wherein said insulating
layer is made of an organic rubber.
5. An electrostatic chuck according to claim 4, wherein said organic rubber
includes chloroprene rubber or acrylic rubber.
6. An electrostatic chuck according to claim 1, including a protective film
disposed on said insulating layer.
7. An electrostatic chuck according to claim 1, wherein said electrostatic
chuck is adapted to attract a silicon workpiece thereto.
8. An electrostatic chuck comprising a substrate, an insulating layer
disposed on said substrate for attracting a workpiece thereto, an
electrode interposed between said substrate and said insulating layer, and
a protective film disposed on said insulating layer, said insulating layer
having a volume resistivity .rho. and said protective film having a volume
resistivity .rho..sub.t, said volume resistivities .rho., .rho..sub.t
satisfying the following relationship:
.rho..sub.t /.rho.>10.sup.-1
so that sufficient electrostatic forces may be generated by the
electrostatic chuck to securely attract a workpiece thereto.
9. An electrostatic chuck according to claim 8, wherein said protective
film is made of a ceramic material comprising Si.sub.3 N.sub.4, SiC,
SiO.sub.2, or the like.
10. An electrostatic chuck according to claim 8, wherein said protective
film is made of a material of high thermal conductivity selected from a
group comprising Al.sub.2 O.sub.3, AlN, and C (diamond).
11. An electrostatic chuck according to claim 8, wherein said protective
film is made of a material that is mainly composed of the material of said
insulating layer which is highly purified.
12. An electrostatic chuck comprising a substrate, an insulating layer
disposed on said substrate for attracting a workpiece thereto, and an
electrode interposed between said substrate and said insulating layer,
said insulating layer having a volume resistivity .rho.(.OMEGA.m), a
dielectric constant .epsilon..sub.r, a thickness d (m), and a surface
roughness (Rmax)esc (m), and the workpiece having a surface roughness
(Rmax)plate (m), said volume resistivity .rho., said dielectric constant
.epsilon..sub.r, said thickness d, and said surface roughnesses (Rmax)esc,
(Rmax)plate (m) satisfying the following relationship:
##EQU7##
so that a residual electrostatic force of the electrostatic chuck on a
workpiece will be rapidly reduced.
13. An electrostatic chuck according to claim 9, including a protective
film disposed on said insulating layer. |
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Claims  |
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Description  |
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BACKGROUND OF THE INVENTION
1. Field of the Invention
The present invention relates to an electrostatic chuck for
electrostatically attracting and holding a workpiece such as a
semiconductor wafer or the like.
2. Description of Relevant Art
One conventional electrostatic chuck plate disclosed in Japanese patent
publication No. 60-59104, which corresponds to U.S. Pat. No. 4,480,284,
has a dielectric layer formed on an electrode plate for securely holding a
workpiece such as a semiconductor wafer thereon under an electric field
developed between the electode plate and the semiconductor wafer while the
semiconductor wafer is being processed by plastma etching, CVD, ion
plating, or the like in a vacuum. When a voltage is applied between the
electrode plate and the workpiece, the workpiece is attracted and held on
the electrostatic chuck plate under large electrostatic attractive forces.
When the voltage applied between the elecrode plate and the workpiece is
removed, any electrostatic attractive forces that have been developed are
immediately reduced, allowing the workpiece to be easily released from the
electrostatic chuck plate.
To increase attractive forces produced by an electrostatic chuck, the
dielectric constant of the dielectric layer thereof may be increased as
disclosed in Japanese patent publications Nos. 60-59104 and 62-19060, or
the thickness of the dielectric layer thereof may be controlled as
disclosed in Japanese laid-open patent publication No. 57-64950
corresponding to U.S. Pat. No. 4,384,918, or the volume resistivity of the
dielectric layer thereof may be selected in a predetermined range as
disclosed in Japanese patent publication No. 61-14660. To facilitate
removal of the workpiece from the electrostatic chuck, a helium gas may be
introduced between the workpiece and a chuck surface to which the
workpiece is attracted as disclosed in Japanese laid-open utility model
publication No. 2-120831, or a voltage of opposite polarity to the
polarity of the voltage applied to attract the workpiece is applied as
disclosed in Japanese patent publication No. 2-63304.
The various conventional schemes for increasing the attractive forces are
primarily concerned with the dielectric layer. Therefore, the greater the
attractive forces, the greater the residual attractive forces that remain
present after the applied voltage is removed. It takes 60 seconds or
longer until the residual attractive forces are reduced by 98% or more
allowing the workpiece to be easily detached from the conventional
electrostatic chuck. Thus, the workpiece cannot immediately be removed
after it has been processed while being held by the electrostatic chuck.
For easy and immediate removal of the workpiece from the electrostatic
chuck, therefore, it is necessary to employ another removal device in
addition to the electrostatic chuck or a new removal process in addition
to the ordinary process combined with the electrostatic chuck. The
additional device or process for easy and immediate workpiece removal
however poses problems on its use at low temperatures.
Recent years have seen the problem of contamination of semiconductor wafers
with metal, resulting in a reduced semiconductor device yield. One
solution has been to deposit a protective film on the attractive surface
of an electrostatic chuck for protecting semiconductor wafers against
contamination from the electrostatic chuck. Depending on the electric
characteristics of such a protective film, the electrostatic chuck may not
develop sufficient attractive forces for holding semiconductor wafers.
Japanese laid-open patent publication No. 2-22166, which corresponds to
U.S. Pat. No. 5,104,834, assigned to the same assignee of the present
application, discloses a dielectric ceramic material for an electrostatic
chuck and a method of manufacturing such a dielectric ceramic material.
SUMMARY OF THE INVENTION
It is an object of the present invention to provide an electrostatic chuck
whose residual electrostatic forces can be reduced in a short period of
time and which has a protective film that does not lower attractive forces
produced by the electrostatic chuck.
According to the present invention, there is provided an electrostatic
chuck comprising a substrate, an insulating layer disposed on the
substrate for attracting a workpiece thereto, and an electrode interposed
between the substrate and the insulating layer, the insulating layer
having a volume resistivity .rho.(.OMEGA.m), a dielectric constant
.epsilon..sub.r, and a thickness d (m), and being spaced from the
workpiece which is attracted thereto by a gap having a distance
.delta.(m), the volume resistivity .rho., the dielectric constant
.epsilon..sub.r, the thickness d, and the distance .delta. satisfying the
following relationship:
1.731.times.10.sup.-11 .rho.{.epsilon..sub.r +d/.delta.}<60.
According to the present invention, there is also provided an electrostatic
chuck comprising a substrate, an insulating layer disposed on the
substrate for attracting a workpiece thereto, an electrode interposed
between the substrate and the insulating layer, and a protective film
disposed on the insulating layer, the insulating layer having a volume
resistivity .rho. and the protective film having a volume resistivity
.rho..sub.t, the volume resistivities .rho., .rho..sub.t satisfying the
following relationship:
.rho.hd t/.rho.>10.sup.-1.
According to the present invention, there is further provided an
electrostatic chuck comprising a substrate, an insulating layer disposed
on the substrate for attracting a workpiece thereto, and an electrode
interposed between the substrate and the insulating layer, the insulating
layer having a volume resistivity .rho.(.OMEGA.m), a dielectric constant
.epsilon..sub.r, a thickness d (m), and a surface roughness (Rmax)esc (m),
and the workpiece having a surface roughness (Rmax)plate (m), the volume
resistivity .rho., the dielectric constant .epsilon..sub.r, the thickness
d, and the surface roughnesses (Rmax)esc, (Rmax)plate (m) satisfying the
following relationship:
##EQU1##
The volume resistivity of the insulating layer, the dielectric constant of
the insulating layer, the thickness of the insulating layer and the gap
between the workpiece and the insulating layer, if any, are selected to be
in a certain range to cause the electrostatic force of the electrostatic
chuck to decrease in a short period of time at low temperatures as well as
normal temperatures.
The electrostatic chuck can produce sufficient electrostatic forces to
attract the workpiece if the volume resistivities of the insulating layer
and the protective film are in the predetermined range of .rho..sub.t
/.rho.>10.sup.-1.
The above and further objects, details and advantages of the present
invention will become apparent from the following detailed description of
preferred embodiments thereof, when read in conjunction with the
accompanying drawings.
BRIEF DESCRIPTION OF THE DRAWINGS
FIG. 1 is a cross-sectional view of an electrostatic chuck according to an
embodiment of the present invention, the view also showing an equivalent
circuit of the electrostatic chuck;
FIG. 2 is a cross-sectional view of an electrostatic chuck according to
another embodiment of the present invention;
FIG. 3 is a diagram showing the relationship between a saturated
electrostatic force and the ratio of a contact resistance to a dielectric
layer volume resistivity of the electrostatic chuck shown in FIG. 2;
FIG. 4 is a diagram showing the relationship between a saturated
electrostatic force and the ratio of a protective film volume resistivity
to a dielectric layer volume resistivity of the electrostatic chuck shown
in FIG. 2;
FIG. 5(a) is a cross-sectional view of an electrostatic chuck according to
still another embodiment of the present invention; and
FIG. 5(b) is a circuit diagram of an equivalent circuit of the
electrostatic chuck shown in FIG. 5(a).
DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENTS
As shown in FIG. 1, an electrostatic chuck according to an embodiment of
the present invention comprises a substrate 1, an insulating layer 2
disposed on the substrate 1, and an electrode 3 sandwiched between the
substrate 1 and the insulating layer 2. The electrode 3 is electrically
connected to a DC power supply 5 through a lead 4. A workpiece W such as a
semiconductor wafer to be electrostatically attracted and held by the
electrostatic chuck is electrically connected to ground directly or
through a plasma.
The substrate 1 is made of a material such as Al.sub.2 O.sub.3, Si.sub.3
N.sub.4, AlN, or SiC. To achieve desired erosion resistance, mechanical
strength, and electric properties, the insulating layer 2 is made of a
material comprising alumina (Al.sub.2 O.sub.3) with a transition metal
oxide such as titania (TiO.sub.2) or chromia (Cr.sub.2 O.sub.3) added for
adjusting the insulation resistance of the insulating layer 2 and an oxide
of silicon or an alkaline earth metal added as a sintering assistant. The
insulating layer 2 may be of the same material as the substrate 1.
Alternatively, the insulating layer 2 may be made of a sintered ceramic
material such as Si.sub.3 N.sub.4, SiC, AlN, ZrO.sub.2, SiO.sub.2.Al.sub.2
O.sub.3, or BN, or an organic material such as chloroprene rubber or
acrylic rubber.
The electrostatic chuck is manufactured as follows: A solvent is added to
the material of the substrate 1, and the mixture is kneaded and shaped
into a sheet for use as the substrate 1. Similarly, a solvent is added to
the material of the insulating layer 2, and the mixture is kneaded and
shaped into a sheet for use as the insulating layer 2. Thereafter, a
paste-like electrode material such as tungsten (W) is coated on an upper
surface of the sheet of the substrate 1 or a lower surface of the sheet of
the insulating layer 2. These sheets are then superimposed and baked
together.
As shown in FIG. 1, when the semiconductor wafer W is attracted and held by
the electrostatic chuck, the gap between the semiconductor wafer W and the
insulating layer 2 has a capacitance C.sub.1 and a conductance G.sub.1,
and the insulating layer 2 has a capacitance C.sub.2 and a conductance
G.sub.2. The capacitances C.sub.1, C.sub.2 and the conductances G.sub.1,
G.sub.2 are expressed as follows:
##EQU2##
where .rho. is the volume resistivity (.OMEGA.m) of the insulating layer
2, .epsilon..sub.0 the dielectric constant of vacuum, .epsilon..sub.r the
dielectric constant of the insulating layer 2, d the thickness (m) of the
insulating layer 2, S the surface area (m.sup.2) of the semiconductor
wafer W, R the contact resistance (.OMEGA.) between the semiconductor
wafer W and the insulating layer 2, and .delta. the distance (m) of the
gap between the semiconductor wafer W and the insulating layer 2.
When the voltage applied to the electrostatic chuck is removed to eliminate
any potential difference between the semiconductor wafer W and the
electrode 3, a residual electrostatic force F that remains present on the
electrostatic chuck is given as follows:
##EQU3##
where V is the voltage and t is time.
In the equation (2), the rate at which the residual electrostatic force F
is reduced is governed by 2(G.sub.1 +G.sub.2)/(C.sub.1 +C.sub.2). A time
t.sub.s required for the residual electrostatic force F to be reduced by
98% of a saturated electrostatic force is expressed as follows:
##EQU4##
If the contact resistance R is sufficiently large, such as if the workpiece
W is a silicon wafer, the time t.sub.s is expressed as follows:
t.sub.s .apprxeq.1.731.times.10.sup.-11 .rho.{.epsilon..sub.r
+d/.delta.}(4)
Additionally, the contact resistance R may be adjusted or controlled using
a protective film, as discussed in relation to the embodiment of FIG. 2.
In order for the time t.sub.s of the electrostatic chuck according to the
present invention to be shorter than the corresponding time of the
conventional electrostatic chucks, the parameters .rho., .epsilon..sub.r,
d, .delta. should be selected to satisfy the following inequality:
1.731.times.10.sup.-11 .rho.{.epsilon..sub.r +d/.delta.}<60 (5)
The distance of the gap between the workpiece W and the insulating layer 2
may be represented by surface roughness (maximum height). More
specifically, if it is assumed that the surface roughness (maximum height)
of the insulating layer 2 is indicated by (Rmax)esc (m) and the surface
roughness (maximum height) of the workpiece W is indicated by (Rmax)plate
(m), then the inequality (5) may be expressed as follows
##EQU5##
The surface roughnesses of the insulating layer 2 and the workpiece W are
measured according to JIS(B0601). The surface roughness may further be
replaced with a maximum surface undulation, which may be measured
according to JIS(0610).
FIG. 2 shows an electrostatic chuck according to another embodiment of the
present invention. The electrostatic chuck shown in FIG. 2 differs from
the electrostatic chuck shown in FIG. 1 in that a protective film 6 is
disposed on the surface of the insulating layer 2 for preventing
impurities from being diffused or mixed into the workpiece W from the
insulating layer 2. The projective film 6 may be made of a ceramic
material containing Si, such as Si.sub.3 N.sub.4, SiC, SiO.sub.2, or the
like, or a material of high thermal conductivity such as Al.sub.2 O.sub.3,
AlN, C (diamond), or the like, or a material that is mainly composed of
the material of the insulating layer 2 which is highly purified.
A saturated electrostatic force F.sub.0 of the electrostatic chuck shown in
FIG. 2 sufficiently after elapse of the time required to apply the voltage
to the electrostatic chuck is expressed as follows:
##EQU6##
It can be seen from the equation (7) that the saturated electrostatic force
F.sub.0 is determined by the ratio R/.rho. of the contact resistance R to
the volume resistivity .rho. of the insulating layer 2. That is, when the
contact resistance R is reduced, the voltage divided between the
protective film 6 and the workpiece W is reduced, resulting in a reduction
in the electric charge stored in the capacitor C.sub.1 that is formed
across the gap between the insulating layer 2 and the workpiece W.
Consequently, if the contact resistance R (the reciprocal of the
conductance G.sub.1) is small as compared with the volume resistivity
.rho. of the insulating layer 2, then the saturated electrostatic force
F.sub.0 is also small, as shown in FIG. 3.
It is appropriate and convenient to control the contact resistance R using
the volume resistivity .rho..sub.t of the protective film 6.
FIG. 4 shows the relationship between the saturated electrostatic force
F.sub.0 and the ratio .rho..sub.t /.rho. of the volume resistivity
.rho..sub.t of the protective film 6 to the volume resistivity .rho. of
the insulating layer 2. Study of FIG. 4 indicates that no sufficient
saturated electrostatic force for attracting a semiconductor wafer can be
generated if the ratio .rho..sub.t /.rho. is 10.sup.-2 or less, and that a
sufficient saturated electrostatic force can be generated if the ratio
.rho..sub.t /.rho. is 10.sup.-1 or higher.
Tables 1 through 4 below show calculated and measured times t.sub.s of
different samples having different insulating layer volume resistivities
.rho., different insulating layer thicknesses d, different gaps
.delta.(.delta..apprxeq.{(Rmax)esc+(Rmax)plate}/2), and different
insulating layer materials. It can be understood from Tables 1 through 4
that the calculated and measured times t.sub.s are in good agreement with
each other. Therefore, an electrostatic chuck can have a desired time
t.sub.s when it is set to a gap distance .delta. or surface roughnesses
(Rmax) esc, (Rmax) plate of the insulating layer and the workpiece that
are calculated according to the equation (5) or (6) based on the volume
resistivity of the insulating layer, the dielectric constant of the
insulating layer, the thickness of the insulating layer.
TABLE 1
__________________________________________________________________________
(with different insulating layer volume resistivities)
(Rmax)
(Rmax)
Work- R (.OMEGA.) per
Area esc plate
.delta.
Sam-
piece 7.07 .times.
d (.times.
(.times. 10.sup.-4
(.times. 10.sup.-6
(.times. 10.sup.-6
(.times. 10.sup.-6
t.sub.s
t.sub.s
t.sub.s (sec)
ple
plate
.rho. (.OMEGA.m)
10.sup.-4 m.sup.2
10.sup.-6 m)
m.sup.2)
.epsilon..sub.r
m) m) m) (*) (**) (***)
__________________________________________________________________________
1 Brass
7.80 .times. 10.sup.7
9.10 .times. 10.sup.8
300 7.07 75 4.1 0.253
2.176
0.277
0.287
<3
2 Brass
5.50 .times. 10.sup.8
2.10 .times. 10.sup.9
300 7.07 62 4.2 0.253
2.226
1.685
1.873
<3
3 Brass
1.27 .times. 10.sup.9
2.73 .times. 10.sup.9
300 7.07 51 4.43 0.253
2.341
3.288
3.937
<3
4 Brass
6.25 .times. 10.sup.9
4.87 .times. 10.sup.9
300 7.07 36.1
3.54 0.253
1.896
13.60
21.01
19
5 Brass
.sup. 3.39 .times. 10.sup.10
.sup. 1.21 .times. 10.sup.10
300 7.07 37.7
4.584
0.253
2.418
43.36
94.91
50
6 Brass
.sup. 1.05 .times. 10.sup.11
.sup. 1.10 .times. 10.sup.11
300 7.07 25.8
4.94 0.253
2.596
182.8
256.8
160
7 Brass
.sup. 7.60 .times. 10.sup.11
.sup. 5.50 .times. 10.sup.11
300 7.07 22 4 0.253
2.126
1352.
2145.
>600
8 Si 7.80 .times. 10.sup.7
3.20 .times. 10.sup.9
300 7.07 75 4.1 1.37 2.735
0.246
0.249
<3
9 Si 5.50 .times. 10.sup.8
4.50 .times. 10.sup.9
300 7.07 62 4.2 1.37 2.785
1.536
1.615
<3
10 Si 1.27 .times. 10.sup.9
6.00 .times. 10.sup.9
300 7.07 51 4.43 1.37 2.9 3.115
3.395
3
11 Si 6.25 .times. 10.sup.9
.sup. 1.11 .times. 10.sup.10
300 7.07 36.1
3.54 1.37 2.455
13.82
17.12
16
12 Si .sup. 3.39 .times. 10.sup.10
.sup. 4.00 .times. 10.sup.10
300 7.07 37.7
4.584
1.37 2.977
59.76
81.25
70
13 Si .sup. 1.05 .times. 10.sup.11
.sup. 3.36 .times. 10.sup.11
300 7.07 25.8
4.94 1.37 3.155
194.0
219.7
150
14 Si .sup. 7.60 .times. 10.sup.11
.sup. 1.50 .times. 10.sup.12
300 7,07 22 4 1.37 2.685
1448.
1759.
>600
__________________________________________________________________________
(*) Calculated according to the equation (3) for 25.degree. C.
(**) Calculated according to the equation (4) for 25.degree. C.
(***) Measured at 25.degree. C.
TABLE 2
__________________________________________________________________________
(with different insulating layer thicknesses)
(Rmax)
(Rmax)
Work- R (.OMEGA.) per
Area esc plate
.delta.
Sam-
piece 7.07 .times.
d (.times.
(.times. 10.sup.-4
(.times. 10.sup.-6
(.times. 10.sup.-6
(.times. 10.sup.-6
t.sub.s
t.sub.s
t.sub.s (sec)
ple plate
.rho. (.OMEGA.m)
10.sup.-4 m.sup.2
10.sup.-6 m)
m.sup.2)
.epsilon..sub.r
m) m) m) (*) (**)
(***)
__________________________________________________________________________
15 Brass
4.00 .times. 10.sup.9
8.00 .times. 10.sup.9
2000 7.07 40 3.5 0.947
2.223 26.94
65.04
55
16 Brass
3.82 .times. 10.sup.9
8.00 .times. 10.sup.9
1500 7.07 40 3.5 0.947
2.223 23.47
47.25
31.5
17 Brass
3.70 .times. 10.sup.9
7.80 .times. 10.sup.9
1000 7.07 40 3.5 0.947
2.223 18.77
31.36
21.5
18 Brass
3.65 .times. 10.sup.9
7.20 .times. 10.sup.9
600 7.07 40 3.5 0.947
2.223 13.68
19.57
8.5
19 Brass
3.20 .times. 10.sup.9
7.00 .times. 10.sup.9
300 7.07 40 3.5 0.947
2.223 8.115
9.689
7
20 Brass
2.60 .times. 10.sup.9
6.80 .times. 10.sup.9
100 7.07 40 3.5 0.947
2.223 3.628
3.824
5
21 Si 4.00 .times. 10.sup.9
9.00 .times. 10.sup.9
2000 7.07 40 3.5 1.37 2.435 26.42
59.04
35
22 Si 3.82 .times. 10.sup.9
8.60 .times. 10.sup.9
1500 7.07 40 3.5 1.37 2.435 22.33
43.37
30
23 Si 3.70 .times. 10.sup.9
8.33 .times. 10.sup.9
1000 7.07 40 3.5 1.37 2.435 17.72
28.86
18
24 Si 3.65 .times. 10.sup.9
8.21 .times. 10.sup.9
600 7.07 40 3.5 1.37 2.435 13.14
18.09
7
25 Si 3.20 .times. 10.sup.9
7.20 .times. 10.sup.9
300 7.07 40 3.5 1.37 2.435 7.606
9.040
6
26 Si 2.60 .times. 10.sup.9
5.85 .times. 10.sup.9
100 7.07 40 3.5 1.37 2.435 3.432
3.648
5
__________________________________________________________________________
(*) Calculated according to the equation (3) for 25.degree. C.
(**) Calculated according to the equation (4) for 25.degree. C.
(***) Measured at 25.degree. C.
TABLE 3
__________________________________________________________________________
(with different gaps)
(Rmax)
(Rmax)
Work- R (.OMEGA.) per
Area esc plate
.delta.
Sam-
piece 7.07 .times.
d (.times.
(.times. 10.sup.-4
(.times. 10.sup.-6
(.times. 10.sup.-6
(.times. 10.sup.-6
t.sub.s
t.sub.s
t.sub.s (sec)
ple plate
.rho. (.OMEGA.m)
10.sup.-4 m.sup.2
10.sup.-6 m)
m.sup.2)
.epsilon..sub.r
m) m) m) (*) (**)
(***)
__________________________________________________________________________
27 Brass
6.25 .times. 10.sup.9
4.76 .times. 10.sup.10
300 7.07 36.1
11.6 0.253
5.926 8.886
9.382
6
28 Brass
6.25 .times. 10.sup.9
7.82 .times. 10.sup.10
300 7.07 36.1
11.6 0.947
6.273 8.781
9.079
6
29 Brass
6.25 .times. 10.sup.9
8.02 .times. 10.sup.10
300 7.07 36.1
11.6 4.5 8.05 7.683
7.937
7
30 Brass
6.25 .times. 10.sup.9
1.03 .times. 10.sup.11
300 7.07 36.1
11.6 9.82 10.71 6.761
6.936
5
31 Brass
6.25 .times. 10.sup.9
4.87 .times. 10.sup.9.sup.
300 7.07 36.1
3.54 0.253
1.896 13.60
21.01
19
32 Brass
6.25 .times. 10.sup.9
1.00 .times. 10.sup.10
300 7.07 36.1
3.54 0.947
2.243 14.52
18.37
12
33 Brass
6.25 .times. 10.sup.9
2.00 .times. 10.sup.10
300 7,07 36.1
3.54 4.5 4.02 10.57
11.97
7
34 Brass
6.25 .times. 10.sup.9
4.00 .times. 10.sup.10
300 7.07 36.1
3.54 9.82 6.68 8.219
8.764
6
35 Brass
6.25 .times. 10.sup.9
1.75 .times. 10.sup.9.sup.
300 7.07 36.1
2.02 0.253
1.136 12.90
32.46
20
36 Brass
6.25 .times. 10.sup.9
4.37 .times. 10.sup.9.sup.
300 7.07 36.1
2.02 0.947
1.483 16.04
25.78
20
37 Brass
6.25 .times. 10.sup.9
1.32 .times. 10.sup.10
300 7.07 36.1
2.02 4.5 3.26 11.53
13.86
10
38 Brass
6.25 .times. 10.sup.9
3.14 .times. 10.sup.10
300 7.07 36.1
2.02 9.82 5.92 8.657
9.388
8
39 Si 6.25 .times. 10.sup. 9
7.66 .times. 10.sup.10
300 7.07 36.1
11.6 0.08 5.84 9.146
9.463
10
40 Si 6.25 .times. 10.sup.9
7.75 .times. 10.sup.10
300 7.07 36.1
11.6 1.37 6.485 8.615
8.910
10
41 Si 6.25 .times. 10.sup.9
7.36 .times. 10.sup.9.sup.
300 7.07 36.1
3.54 0.08 1.81 16.05
21.83
20
42 Si 6.25 .times. 10.sup.9
1.11 .times. 10.sup.10
300 7.07 36.1
3.54 1.37 2.455 13.82
17.12
16
43 Si 6.25 .times. 10.sup.9
1.36 .times. 10.sup.9.sup.
300 7.07 36.1
2.02 0.08 1.05 11.82
34.81
30
44 Si 6.25 .times. 10.sup.9
2.58 .times. 10.sup.9.sup.
300 7.07 36.1
2.02 1.37 1.695 11.35
23.05
20
__________________________________________________________________________
(*) Calculated according to the equation (3) for 25.degree. C.
(**) Calculated according to the equation (4) for 25.degree. C.
(***) Measured at 25.degree. C.
TABLE 4
__________________________________________________________________________
(with different insulating layer materials)
(Rmax)
(Rmax)
d (.times.
Area esc plate
.delta.
Insulating 10.sup.-6
(.times. 10.sup.-4
(.times. 10.sup.-6
(.times. 10.sup.-6
(.times. 10.sup.-6
t.sub.s (sec)
t.sub.s (sec)
Sample
layer materials
.rho. (.OMEGA.m)
m) m.sup.2)
.epsilon..sub.r
m) m) m) (**)
(***)
__________________________________________________________________________
45 96% Al.sub.2 O.sub.3
1.00 .times. 10.sup.13
300
7.07 10
5 1.37 3.185
18035
>600
46 Porcelain of
6.00 .times. 10.sup.7.sup.
300
7.07 40
5 1.37 3.185
0.139
<3
SiO
47 Porcelain of
1.00 .times. 10.sup.12
300
7.07 4
5 1.37 3.185
1699.
>600
Si.sub.3 N.sub.4
48 AIN 1.00 .times. 10.sup.11
300
7.07 9
5 1.37 3.185
178.6
150
49 Porcelain of
2.70 .times. 10.sup.8.sup.
300
7.07 12
5 1.37 3.185
0.496
<3
ZrO.sub.2
50 Mullite 1.00 .times. 10.sup.10
300
7.07 6
5 1.37 3.185
17.34
20
porcelain
51 BN 1.00 .times. 10.sup.12
300
7.07 4
5 1.37 3.185
1699.
>600
52 Chloroprene
1.00 .times. 10.sup.8.sup.
300
7.07 80
5 1.37 3.185
0.301
<3
rubber
53 Acrylic rubber
1.00 .times. 10.sup.6.sup.
300
7.07 50
5 1.37 3.185
0.002
<3
__________________________________________________________________________
(**) Calculated according to the equation (4) f0r 25.degree. C.
(***) Measured at 25.degree. C.
With the protective film 6 on the surface of the insulating layer 2, the
electrostatic chuck can produce sufficient electrostatic forces and
prevent impurities from being mixed into the workpiece W from the
insulating layer 2 if the volume sensitivity .rho..sub.t of the protective
film 6 and the volume sensitivity .rho. of the insulating layer 2 satisfy
the relationship of .rho..sub.t /.rho..gtoreq.10.sup.-1.
If it is difficult to measure the volume sensitivity .rho..sub.t of the
protective film 6, then the surface resistivity .rho..sub.s of the
protective film 6 may be measured and used as it is almost the same as the
volume sensitivity .rho..sub.t.
FIG. 5(a) shows an electrostatic chuck according to still another
embodiment of the present invention. The electrostatic chuck shown in FIG.
5(a) has two spaced electrodes 3a, 3b interposed between the substrate 1
and the insulating layer 2 and connected respectively to DC power supplies
5 through respective leads 4. FIG. 5(b) shows an equivalent circuit of the
electrostatic chuck illustrated in FIG. 5(a), the equivalent circuit
including capacitances C.sub.3, C.sub.4 and conductances G.sub.3, G.sub.4.
As described above in relation to the embodiments of FIGS. 1 and 2, the
volume resistivity of the insulating layer, the dielectric constant of the
insulating layer, the thickness of the insulating layer, the gap between
the workpiece and the insulating layer, and the dielectric constant of the
protective film, if any, are selected to be in a certain range to cause
the electrostatic force of the electrostatic chuck to decrease in a short
period of time at low temperatures such as of 0.degree. C. or lower as
well as normal temperatures such as of 25.degree. C. In a manner similar
to the embodiment of FIG. 2, and a protective film could be interposed
between the insulating layer 2 and the workpiece W.
Although there have been described what are at present considered to be the
preferred embodiments of the invention, it will be understood that the
invention may be embodied in other specific forms without departing from
the essential characteristics thereof. The present embodiments are
therefore to be considered in all respects as illustrative, and not
restrictive. The scope of the invention is indicated by the appended
claims rather than by the foregoing description.
* * * * *
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