Data
analysis sheet for strain gradient
measurements
Figure
SG.1.1.
Top view of cantilever test
structure used to measure strain
gradient.
To obtain the
following measurements, consult ASTM
standard test method E 2246 entitled
"Standard Test Method for Strain
Gradient Measurements of Thin,
Reflecting Films
Using an Optical Interferometer."
filename of 3-D data set
(optional) =
filename of 2-D data traces
(optional) =
material =
Poly1
Poly2
stacked Poly1 and Poly2
SiC-2
SiC-3
design length =
µm
which cantilever on the round
robin test chip ?
First Second
Third
magnification =
×
orientation =
0 degree
90 degree
x-calibration factor
(for the given magnification)
= calx =
maximum field of view (for the
given magnification) = interx
=
µm
one sigma uncertainty in a ruler
measurement (for the given mag)
= σxcal=
µm
resolution of the interferometer
in the x-direction = xres
=
µm z-calibration factor (for
the given magnification) =
calz =
certified value of double-sided
step height standard = cert
=
µm standard deviation of step
height measurements (on
double-sided step height
standard) = σzcal
=
µm
resolution of the interferometer
in the z-direction = zres
=
µm
peak-to-valley roughness of a
flat and leveled surface of the
sample material calculated to be
the average of three or more
measurements, each measurement
of which is taken from a
different 2-D data trace = Rtave
=
µm
alignment ensured ?
Yes
No
data leveled ?
Yes
No
Is this cantilever exhibiting
stiction ?
Yes
No
If it is exhibiting stiction, do
not fill out the remainder of
this form.
INPUTS
(uncalibrated values from Trace
"a" or "e"): x1max
(i.e., x1upper)
=
µm x1min
(i.e., x1lower)
=
µm
(x1min > x1max)
OUTPUTS (calibrated values): x1ave
=
µm
s =
from Trace "c"
s = 1 (for downward bending
cantilevers or
if data was taken from the
bottom of an upward bending
cantilever)
s = −1 (for upward bending
cantilevers unless
data was taken from the bottom
of an upward bending cantilever)
Rint
=
µm from Trace
"b"
a
=
µm from Trace
"b" b
=
µm from Trace
"b"
sg=
m−1
from Trace "b"
Rint
=
µm from Trace
"c"
a
=
µm from Trace
"c" b
=
µm from Trace
"c"
sg=
m−1
from Trace "c"
uW=
m−1 from
two or three traces
usamp=
m−1 from
Trace "c"
uxcal=
m−1
from Trace "c"
uzcal=
m−1
from Trace "c"
uzres=
m−1
from Trace "c"
uxres=
m−1
from Trace "c" uc
= SQRT[uW2
+ usamp2
+ uxcal2
+ uzcal2
+ uzres2
+ uxres2]
uc=
m−1 from
two or three traces
Rint
=
µm from Trace
"d"
a
=
µm from Trace
"d" b
=
µm from Trace
"d"
sg=
m−1
from Trace "d"
Modify the
input data, given the
information supplied in any
flagged statement below, if
applicable, then recalculate:
1.
Please fill out the entire form.
2.
For the round robin test chip,
the design length should be 400,
450, 500, 550, 600, 650, 700,
750, or 800
mm.
3.
Is the magnification appropriate
given the design length ?
4.
Magnifications at or less than 2.5×
shall not be used.
5.
Is 0.95 < calx < 1.05 but
not equal to "1"? If not,
recheck your x-calibration.
6.
The value for interx
should be between
0 µm
and 1500
µm.
7.
The value for
σxcal should be
between 0
µm
and 4
µm.
8.
The value for
xres should be
between 0
µm
and 1.57
µm.
9.
Is 0.95 < calz < 1.05 but
not equal to "1"? If not,
recheck your z-calibration.
10.
The value for
σzcal
should be between 0 µm and 0.050
µm.
11.
The value for cert should
be greater than 0 µm and less
than 25 µm.
12.
The value for zres
should be greater than 0 µm and
less than or equal to 0.005 µm.
13.
The value for
Rtave
should be between 0 µm and 0.100
µm.
14.
Alignment has not been ensured.
15.
Data has not been leveled.
16.
x1min should be
greater than x1max.
17.
The calibrated values for x1min
and x1max are
greater than 10 µm apart.
18.
In Trace "b," the calibrated
values of x1,
x2, and x3
should be >x1ave.
19.
In Trace "c," the calibrated
values of x1,
x2, and x3
should be >x1ave.
20.
In Trace "d," the calibrated
values of x1,
x2, and x3
should be >x1ave.
21.
In Traces "b," "c," and "d," the
value for s is not the
same.