Information
-
Patent Grant
-
6354910
-
Patent Number
6,354,910
-
Date Filed
Monday, January 31, 200024 years ago
-
Date Issued
Tuesday, March 12, 200222 years ago
-
Inventors
-
Original Assignees
-
Examiners
- Hail, III; Joseph J.
- Ojini; Anthony
Agents
- Christie, Parker & Hale, LLP
-
CPC
-
US Classifications
Field of Search
US
- 451 6
- 451 8
- 451 9
- 451 10
- 451 11
- 451 22
- 451 21
- 451 41
- 451 56
- 451 59
- 451 288
- 451 289
- 451 290
-
International Classifications
-
Abstract
A non-destructive method for measuring the thickness loss of a polishing pad due to pad conditioning includes the use of rigid planar members placed on the surfaces of both the conditioned and non-conditioned sections of the polishing pad. Measurements are made using measurement instruments which overhang the depressed conditioned section and measure the height difference between the upper surfaces of the planar members. The measurement instruments may be repositioned and measurements repeated to obtain an average thickness loss.
Description
TECHNICAL FIELD
The present invention relates generally to chemical mechanical polishing. More particularly, the present invention relates to an apparatus and method for determining the thickness loss of a polishing pad due to pad conditioning.
BACKGROUND OF THE INVENTION
Chemical mechanical polishing (CMP) is a commonly used operation for polishing substrates in the semiconductor manufacturing industry. CMP may be used to planarize substrates, or to remove a deposited film from a substrate by polishing. A CMP operation may be used multiple times during the sequence of process operations used to form a semiconductor device. CMP is available for polishing any of various films used to form semiconductor devices. Many commercially produced CMP tools are available in the semiconductor manufacturing industry.
The polishing pad is generally considered to be the major component of a CMP tool. The polishing pad is generally rotated while contacting the surface to be polished, thereby polishing the surface. The CMP operation must perform a precise and accurate polishing operation. It can be understood that it is important to maintain the characteristics of the polishing pad in the same condition to ensure repeatability and integrity of the polishing operations. In order to maintain the pad characteristics in the same condition and therefore to keep film removal rates constant, the hard, upper section of the polishing pad which includes the polishing surface, requires periodic dressing with a diamond conditioner in order to maintain the integrity and repeatability of the upper section of the polishing pad, especially the polishing surface. As a result of this necessary conditioning process, however, the pad thickness decreases with a corresponding decrease in planarization ability. In addition to the decrease in planarization ability, a conditioned pad of reduced thickness also effectuates other undesirable process non-uniformities, and adversely affects run-to-run repeatability. When this occurs, the polishing pad must be replaced. There is a need to determine the extent of polishing pad thickness reduction, in order to predict when polishing characteristics may be adversely affected and, therefore, when the polishing pad must be replaced.
The standard approach to determining thickness loss and remaining pad thickness consists of cutting out a radial piece of the pad, peeling off the bottom soft pad and using a micrometer to measure the thickness of the hard upper pad directly. This is a destructive test, however, and once used, renders the pad unusable. This is the case even if the measured thickness indicates that the condition of the pad would be acceptable for future use. The standard approach is therefore time consuming and costly. Even if a correlation between [# of conditioning operations] and [pad thickness loss] is established to predict when to replace the polishing pad, the actual thickness loss can vary from pad to pad, in practice.
It can therefore be seen that a method and apparatus for measuring pad thickness, which is non-destructive, is needed in the art. To overcome the shortcomings of the conventional approach to determining polishing pad thickness, the present invention provides an apparatus and method for measuring polishing pad thickness loss, which is non-destructive and, furthermore, does not require the polishing pad to be removed from the polishing tool.
SUMMARY OF THE INVENTION
To achieve these and other objects, and in view of the its purposes, the present invention is directed to a method and apparatus for performing an in-situ measurement of polishing pad thickness loss. Specifically, the present invention provides a rigid first planar member which is placed over a non-conditioned portion of the polishing pad, and a rigid second planar member which is placed over a depressed, conditioned portion of the polishing pad. The present invention further provides a movable upper member positioned over the top of the first planar member, and which includes an overhang portion which overhangs an upper surface of the second planar member. The upper member includes at least one measurement instrument such as a thickness gauge, which measures a vertical distance between respective upper surfaces of the first and second planar members. The vertical distance, or height difference, is due to thickness loss caused by the conditioning process on the conditioned portion of the polishing pad. The upper member may be repositioned and further measurements taken, in order to calculate an average polishing pad thickness loss.
BRIEF DESCRIPTION OF THE DRAWING
The invention is best understood from the following detailed description when read in connection with the accompanying drawing. It is emphasized that, according to common practice, the various features of the drawing are not to scale. On the contrary, the dimensions of the various features are arbitrarily expanded or reduced for clarity. Included in the drawing are the following figures:
FIG. 1
is a side view of a polishing pad and a conditioning unit;
FIG. 2
is a cross-sectional view of a polishing pad including a central, non-conditioned region which forms a mesa;
FIG. 3A
is a top view of an exemplary embodiment of a second planar member of the measurement apparatus;
FIG. 3B
is a top view of an exemplary embodiment of a first planar member of the measurement apparatus;
FIG. 4
is a cross-sectional view of an exemplary embodiment of the measurement apparatus of the present invention which is placed over a conditioned polishing pad;
FIG. 5
is a top view of an exemplary embodiment of the measurement apparatus of the present invention; and
FIG. 6
is a top view of another exemplary embodiment of the measurement apparatus of the present invention.
DETAILED DESCRIPTION OF THE INVENTION
The present invention takes advantage of the step which is produced upon the polishing pad surface between the region which is conditioned and the region which is non-conditioned.
FIG. 1
is a side view of part of a chemical mechanical polishing tool. Polishing pad
1
includes top surface
3
and is secured over platen
5
which is, in turn, connected to shaft
7
. Shaft
7
rotates thereby rotating platen
5
and polishing pad
1
. In the conventional embodiment, shaft
7
rotates in a counter-clockwise direction as indicated by arrow
6
. In other embodiments, shaft
7
may rotated in a clockwise direction. Conditioning unit
9
is used to condition polishing pad surface
3
. As discussed above, polishing pad
1
requires conditioning so that the characteristics of polishing pad surface
3
remain constant in time.
Conditioning unit
9
generally conditions pad surface
3
by rotating about axis
8
and has an aggressive and abrasive surface
10
which may include diamonds
11
in the preferred embodiment. A downward force is applied in the direction perpendicular to the pad surface
3
, which maintains conditioning unit
9
in contact with polishing pad
1
, thereby conditioning surface
3
of polishing pad
1
. The aggressive conditioning action of conditioning unit
9
upon polishing pad surface
3
, removes some of the material of polishing pad
1
which decreases the thickness of polishing pad
1
. It can be seen that, if polishing pad
1
rotates about the central axis of shaft
7
, the peripheral section of polishing pad
3
will be conditioned, while the central section of polishing pad
1
will not be conditioned. Conditioning unit
9
may travel radially inward and outward along direction
12
thereby increasing the area which is conditioned. The conditioning procedure is set up, however, to ensure that the conditioning unit
9
does not travel radially inward past a predetermined point
16
. It will be shown in
FIG. 2
that this effect results in the formation of a permanently non-conditioned region which forms a mesa with respect to the depressed conditioned region of the polishing pad.
Now turning to
FIG. 2
, a cross-sectional view of a conditioned polishing pad is shown. Polishing pad
1
includes a central non-conditioned region
15
which includes non-conditioned surface
19
, and conditioned region
13
with conditioned surface
17
. Predetermined point
16
which represents the inward extent of travel of conditioning unit
9
(as shown in
FIG. 1
) along the radial direction, divides conditioned region
13
and non-conditioned region
15
. According to the exemplary embodiment, polishing pad
1
is generally circular and non-conditioned region
15
may be represented by substantially circular mesa
20
which is positioned centrally on polishing pad
1
. Conditioned region
13
extends peripherally around mesa
20
.
Conditioned surface
17
of conditioned region
13
is depressed relative to original pad surface
3
, and relative to non-conditioned surface
19
of non-conditioned region
15
. Mesa
20
includes step
21
which extends circumferentially around mesa
20
in the exemplary embodiment, in which mesa
20
is substantially circular. Step
21
includes step height
23
and mesa
20
includes width
25
. In an exemplary embodiment, mesa
20
may include a width
25
ranging from 5 to 7 centimeters. It can be understood that diameter
25
of mesa
20
varies depending on the extent of radially inward travel of conditioning unit
9
. Step height
23
may be alternatively expressed as thickness loss of polishing pad
1
due to conditioning, since non-conditioned surface
19
is essentially of the same height as original pad surface
3
(as shown in
FIG. 1
) of polishing pad
1
. The present invention takes advantage of the height difference, step height
23
, between upper surface
19
of non-conditioned region
15
and upper surface
17
of conditioned region
13
. Since it is generally known in the art, or can easily be determined, a predetermined step height
23
of polishing pad
1
can generally be associated with a thickness loss, at which point the polishing characteristics deteriorate and the pad must be removed and replaced.
FIGS. 3A and 3B
show a top view of an exemplary embodiment of second and first rigid planar members, respectively, of the present invention. The rigid planar members shown may be used in conjunction with the exemplary embodiment of the polishing pad shown in FIG.
2
. Rigid second planar member
33
shown in
FIG. 3A
, includes outer diameter
35
and inner diameter
31
. Inner diameter
31
is chosen to fit around the non-conditioned mesa area (
20
, shown in
FIG. 2
) as shown in the exemplary embodiment. Rigid first planar member
27
, as shown in
FIG. 3B
, includes diameter
29
. Rigid first planar member
27
is placed over the non-conditioned surface of the non-conditioned region of the polishing pad. In an exemplary embodiment, rigid first planar member
27
may be shaped generally to conform to the shape of the non-conditioned region of the pad. It is not critical, however, that diameter
29
corresponds to a diameter of the non-conditioned region of the polishing pad. In various embodiments, diameter
29
may be greater or less than the diameter of the non-conditioned portion of the polishing pad, or rigid first planar member
27
may take on a different shape than the non-conditioned surface over which it will be placed. The same is true for the configuration of second rigid planar member
33
as shown in FIG.
3
A. So long as inner diameter
31
of second rigid planar member
33
affords second rigid planar member
33
the ability to fit around the conditioned region and to be seated evenly over the conditioned surface, inner diameter
31
may take on various dimensions. Likewise, outer diameter
35
of second rigid planar member
33
may be any suitable dimension. In a preferred embodiment, each of rigid first planar member
27
and rigid second planar member
33
may be formed of a metal such as stainless steel. In alternative embodiments, each of the rigid planar members may be formed of any material which maintains its rigidity and is non-deformable.
FIG. 4
is a cross-sectional view of the measurement apparatus of the present invention placed over a conditioned polishing pad. Polishing pad
1
includes central non-conditioned region
15
and peripherally extending conditioned region
13
. In the exemplary embodiment, non-conditioned region
15
may be a centrally disposed mesa
20
of a generally round polishing pad
1
. As such, conditioned region
13
extends peripherally about non-conditioned region
15
. It can be seen that non-conditioned surface
19
reaches a greater height than conditioned surface
17
. Step height
23
represents the vertical distance between conditioned surface
17
and non-conditioned surface
19
, and is equal to the thickness loss of the conditioned portion
13
of polishing pad
1
. Rigid first planar member
27
is placed over planar non-conditioned surface
19
, and rigid second planar member
33
is placed over planar conditioned surface
17
. It can be seen that if height
39
of rigid first planar member
27
is equal to height
37
of rigid second planar member
33
, then vertical distance
55
between first upper surface
28
and second upper surface
34
is equal to step height
23
between conditioned surface
17
and non-conditioned surface
19
. In alternative embodiments, thicknesses
37
and
39
may differ and the difference will be taken into account when calculating the actual thickness loss, step height
23
, from the measured vertical distance.
Above first upper surface
28
of rigid first planar member
27
is placed rigid upper member
41
. It can be seen that rigid upper member
41
includes lower surface
47
, a portion of which forms a contiguous boundary with first upper surface
28
. In an exemplary embodiment, rigid upper member
41
may be a bar. Rigid upper member
41
may be formed of a metal, such as stainless steel. In alternative embodiments, rigid upper member
41
may be formed of other materials, chosen to ensure the rigidity and non-deformation of rigid upper member
41
. Rigid upper member
41
includes a contiguous region
59
, and an overhang portion
43
. As shown in the exemplary embodiment in which rigid upper member
41
is a bar, overhang portion
43
is formed of a pair of oppositely extending ends which extend radially outward from a center of rigid first planar member
27
. Any suitable configuration of rigid upper member
41
may be used, provided that overhang portion
43
overhangs at least portion of rigid second planar member
33
. In an exemplary embodiment, rigid upper member
41
may be generally circular, wherein overhang portion
43
extends peripherally around centrally disposed rigid first planar member
27
.
Rigid upper member
41
may be affixed to rigid first planar member
27
, or it may simply be placed on top of rigid first planar member
27
, so that lower surface
47
of rigid upper member
41
contacts upper surface
28
of first planar member in contiguous region
59
. This accommodates easy repositioning of rigid upper member
41
with respect to rigid first planar member
27
, and therefore rigid second planar member
33
. In an exemplary embodiment, rigid upper member
41
will easily slide over upper surface
28
for repositioning.
Rigid upper member
41
includes at least one measurement instrument
45
disposed within overhang portion
43
. In the exemplary embodiment, two measurement instruments
45
are shown. One measurement instrument
45
may be disposed at a first location
51
, while a second measurement instrument
45
may be disposed at a second location
53
. Measurement instrument
45
may be a thickness gauge, or any suitable measurement instrument which can measure the vertical distance
55
between lower surface
47
of rigid upper member
41
, and second upper surface
34
of rigid second planar member
33
. It should be understood that various alternative configurations are contemplated. For example, overhang portion
43
may be of any suitable configuration, provided that overhang portion
43
overhangs at least a portion of rigid second planar member
33
so as to enable measurement instrument
45
to measure vertical distance
55
. In an exemplary embodiment, measurement instrument
45
may be a thickness gauge, but any measurement instrument capable of measuring distance
55
between second upper surface
34
of second rigid planar member
33
, and first upper surface
28
of rigid first planar member
27
, may be used.
In an exemplary embodiment, pad thickness loss, as indicated by step height
23
, may be calculated by averaging the height differences measured at location
51
and location
53
. In another exemplary embodiment, a number of height measurements may be made. After height measurements are made at locations
51
and
53
as shown in
FIG. 4
, rigid upper member
41
may be repositioned. In an exemplary embodiment, rigid upper member
41
may be rotated with respect to polishing pad
1
. First upper surface
28
and lower surface
47
of rigid upper member
41
are chosen to enable rigid upper member
41
to slide easily over rigid first planar member
27
. After rigid upper member
41
is repositioned, for example by sliding, measurements are made by the measurement instruments at their respective new locations. These measurements may be averaged, and rigid upper member
41
may again be repositioned and additional measurements taken. This may be continued a number of times to provide good statistical averaging.
FIG. 5
is a top view of the apparatus shown in FIG.
4
. Inner diameter
31
of rigid second planar member
33
extends around rigid first planar member
27
. Rigid upper member
41
is a bar having an overhang portion consisting of a pair of opposed overhang regions
43
which overhang rigid second planar member
33
. Measurement instruments (not shown) may be located at opposed locations
51
and
53
. Rigid upper member
41
also includes a contiguous region
59
in which the lower surface (surface
47
as shown in
FIG. 4
) of rigid upper member
41
contacts the upper surface (first upper surface
28
shown in
FIG. 4
) of rigid first planar member
27
.
FIG. 6
shows another exemplary embodiment of the measurement apparatus of the present invention. In
FIG. 6
, where similarly numbered features are as described in conjunction with
FIGS. 4 and 5
, rigid upper member
61
consists of an overhang portion including three distinct overhang regions
69
,
71
, and
73
. Rigid upper member
61
includes a central contiguous region
75
which contacts the upper surface (first upper surface
28
shown in
FIG. 4
) of rigid first planar member
27
. The three discrete overhang regions
69
,
71
, and
73
each include a corresponding position—
65
,
67
, and
63
at which a measurement instrument (not shown) may be included. In the exemplary embodiment shown in
FIG. 6
, three vertical distance measurements (as in
FIG. 4
) may be made, and averaged to provide an average vertical distance, from which the average pad thickness loss may be calculated. In an exemplary embodiment in which the thickness of rigid first planar member
27
equals the thickness of rigid second planar member
33
, the average vertical distance is equal to the average pad thickness loss. In an exemplary embodiment, the three discrete overhang regions
69
,
71
and
73
may be spaced approximately 120° apart. Upper rigid member
61
may be rotated with respect to the polishing pad multiple times and measurements may be taken each time.
The present invention is not intended to be limited to the configurations of the various members of the measurement apparatus shown. Rather, various other configurations are contemplated. The rigid planar members need not conform to the shapes of the conditioned and non-conditioned regions so long as they may each be positioned evenly over the conditioned and non-conditioned surfaces to allow for the rigid upper member to include an overhang portion on which a measurement instrument may be positioned to read the distance between the upper surfaces of the rigid planar members.
The apparatus and method of the present invention may be used by placing the apparatus over the polishing pad while the polishing pad is still within the CMP tool and adapted for continued use. The method and apparatus of the present invention may be used after some degree of conditioning has been done on the polishing pad. If the thickness loss of the pad indicates that the pad must be replaced in order to ensure process repeatability and integrity of polishing qualities, then the polishing pad is removed and replaced. If a thickness loss indicates that the polishing pad is suitable for continued use, the apparatus is simply removed and the polishing pad may be used for continued polishing operations. The polishing pad is conditioned on a regular basis as determined by the number of polishing operations carried out by the polishing pad, and also the nature of the polishing process performed. After the periodic reconditioning process of the polishing pad, the apparatus of the present invention may be reintroduced to the polishing pad, and the method repeated.
It should be emphasized that the present invention is not intended to be limited to the embodiments shown. In other exemplary embodiments, the rigid first planar member placed on the non-conditioned portion of the pad, and the rigid second planar member placed on the depressed conditioned part of the polishing pad, may not be of equal thickness. Moreover, the overhang portion of the rigid upper member may include a lower surface which is not coplanar with the lower portion of the rigid upper member in the contiguous region. Allowances may be made for these height differences, and the height difference of the conditioned, and non-conditioned region of the polishing pad may be calculated even though the absolute distance measurement made between the lower surface of the rigid upper member and the second upper surface of the rigid second planar member, may not be equivalent to the height difference of the different sections of the pad. The thickness loss of the conditioned position of the polishing pad may be calculated from the measured thickness.
The proceeding description merely illustrates the principles of the invention. It will thus be appreciated that those skilled in the art will be able to devise various arrangements which, although not explicitly described or shown herein, embody the principles of the invention and are included within its scope and spirit. Furthermore, all examples and conditional language recited herein are principally intended to be expressly for pedagogical purposes to aid the invention and concept contributed by the inventors to furthering the art, and are to be construed as being without limitation to such specifically recited examples and conditions.
Moreover, all statements herein reciting principles, aspects and embodiments of the invention, as well as specific examples thereof, are intended to encompass both structure and functionally equivalence thereof. Additionally, it is intended that such equivalents include both currently known, as well as equivalents developed in the future, i.e., any elements developed that perform the same functions regardless of structure. As such, the invention is not intended to be limited to the details shown. Rather, various modifications and additions may be made to details within the scope and range of equivalence of the claims and without departing from the invention. Accordingly, it is intended by the appended claims to cover all such modifications and changes as far within the true spirit and scope of the invention.
Claims
- 1. A measuring device for a chemical mechanical polishing apparatus, comprising:a rigid first planar member having a first upper surface and adapted to be placed on a non-conditioned region of a polishing pad; a rigid second planar member having a second upper surface and adapted to be placed on a depressed conditioned region of said polishing pad; a rigid upper member adapted to be placed on said first planar member such that an overhang portion of said rigid upper member overhangs said conditioned region; and at least one measurement instrument disposed along said overhang portion of said upper member, each measurement instrument capable of measuring a vertical distance between said first upper surface and said second upper surface.
- 2. The measuring device as in claim 1, wherein said measurement instrument of said at least one measurement instrument comprises a thickness gauge.
- 3. The measuring device as in claim 1, wherein said non-conditioned region comprises a generally circular central region, and said conditioned region extends peripherally around said non-conditioned region.
- 4. The measuring device as in claim 3, wherein said overhang portion includes a duality of separate overhang sections on opposed sides of said non-conditioned region, each overhang section having a measurement instrument of said at least one measurement instrument, disposed thereon.
- 5. The measuring device as in claim 3, wherein said overhang portion extends circumferentially around said non-conditioned region.
- 6. The measuring device as in claim 3, wherein said overhang portion includes three separate overhang sections, each including a measurement instrument of said at least one measurement instrument disposed thereon, and wherein said three overhang sections each extend radially outward from said central region.
- 7. The measuring device as in claim 1, wherein said upper member is capable of sliding over said first upper surface.
- 8. The measuring device as in claim 3, wherein said upper member comprises a bar and wherein said overhang portion comprises opposed ends of said bar, each of which overhang said conditioned region, and said at least one measurement instrument comprises two measurement instruments, one on each of said opposed ends, and said upper member is rotatable about said non-conditioned region.
- 9. The measuring device as in claim 1, wherein said first planar member and said second planar member are each formed of metal.
- 10. The measuring device as in claim 9, wherein said metal comprises stainless steel.
- 11. The measuring device as in claim 1, wherein said first planar member is shaped generally to conform to said non-conditioned region and said second planar member is shaped generally to conform to said conditioned region.
- 12. The measuring device as in claim 1, wherein said first upper surface is contiguous with a portion of a lower surface of said upper member.
- 13. The measuring device as in claim 1, wherein said upper member is comprised of metal.
- 14. The measuring device as in claim 1, wherein said first planar member has a first thickness and said second planar member has said first thickness, and said vertical distance therefore equals a height difference between said conditioned region and said non-conditioned region.
- 15. A measuring device for a chemical mechanical polishing apparatus, comprising:a rigid first planar member adapted to be placed on a generally circular, central non-conditioned region of a polishing pad, said first planar member having a first thickness and a first upper surface; a rigid second planar member adapted to be placed on a depressed conditioned region of said polishing pad and extending peripherally around said non-conditioned region, said second planar member having said first thickness and a second upper surface; a rigid upper member adapted to be placed on said first planar member such that a pair of opposed overhang portions of said rigid upper member each overhang said conditioned region and a lower surface of said rigid upper member is contiguous with said first upper surface, said upper member being rotatable about said central non-conditioned region; and at least one measurement instrument disposed along each of said overhang portions of said upper member, each measurement instrument capable of measuring a vertical distance between said first upper surface and said second upper surface.
- 16. A method for measuring polishing pad wear in a chemical mechanical polishing apparatus, comprising the steps of:a) placing a rigid first planar member over a non-conditioned region of a polishing pad, said first planar member having a first thickness and a first upper surface; b) placing a rigid second planar member over a depressed conditioned region of said polishing pad, said second planar member having a second thickness and a second upper surface; c) placing a rigid upper member on said first planar member, said upper member including a lower surface being contiguous with said first upper surface and an overhang portion overhanging said second planar member, said overhang portion including a measurement instrument disposed thereon; and d) measuring a vertical distance between said first upper surface and said second upper surface at a first location using said measurement instrument.
- 17. The method as in claim 16, further comprising steps:e) repositioning said upper member on said first planar member; and f) measuring a further vertical distance between said first upper surface and said second upper surface at a second location.
- 18. The method as in claim 16, further comprising steps:e) repositioning said upper member on said first planar member a plurality of times, each time measuring an associated vertical distance between said first upper surface and said second upper surface at a respective further location; and f) determining an average vertical distance from said plurality of measured vertical distances.
- 19. The method as in claim 17, wherein said non-conditioned region is centrally located on said polishing pad and said conditioned region extends peripherally about said non-conditioned region, said upper member comprises a bar, said overhang portion includes a duality of opposed overhang sections, and in which step e) includes rotating said upper member around said non-conditioned region.
- 20. The method as in claim 16, further comprising the step e) of replacing said polishing pad whereupon said measured vertical distance exceeds a prescribed vertical distance value.
- 21. The method as in claim 16, further comprising the steps of:e) further conditioning said conditioned region of said polishing pad; f) repeating said steps a) through d); and g) if said vertical distance exceeds a prescribed value, replacing said polishing pad.
- 22. The method as in claim 16, in which said step c) includes a further measurement instrument disposed on said overhang portion and said step d) includes further measuring a further vertical distance between said first upper surface and said second upper surface at a second location using said further measurement instrument.
- 23. The method as in claim 22, in which said step d) includes calculating an average vertical distance from said vertical distance and said further vertical distance and further comprising steps:e) repositioning said upper member on said first planar member a plurality of times, each time calculating an associated average vertical distance by measuring at respective further first and second locations, and f) determining an overall average vertical distance from said plurality of average vertical distances.
US Referenced Citations (6)