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SEMI MF1618-1104 © SEMI 2004 3 may understat e macroscopi c film non-uni formity or fai l to respond to microscopic film non-uniformities or both. 3.5.2 If the sampling area or spot size is small, it is generally possibl…

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chemical vapor deposition (CVD) oxidation, and
metallization, as well as for layer modification such as
various means of layer etching.
2.4 This practice is intended for use with all silicon
wafer sizes and types when measuring uniformity of
film properties and characteristics. This practice
describes measurement site patterns and determination
of their spatial coordinates on the wafer, as well as the
statistics to be used when reducing the measurement
data to determine uniformity. For each of the sampling
plans, the exact number of measurement sites is chosen
based on the size of the wafer being used, the desired
spatial resolution of the measurement instrument, and
whether maximal, or somewhat lesser information
density is desired. However, in all such choices, the
pattern of measurement sites, the rules for selecting
their coordinates on the wafer, and the statistical
calculations of the results should remain consistent with
the procedures of this practice.
2.5 This practice can be used with any measurement
method, procedure or instrumentation that can measure
the needed film property or characteristic with
sufficient precision and spatial resolution to reveal the
needed information on spatial non-uniformity of the
film. This practice does not itself contain details on
performing any specific measurement.
2.5.1 Not all types of measurements that may need to
be used for evaluation of the uniformity of a thin film
have formal procedural standards. SEMI MF374,
SEMI MF576, SEMI MF1392, SEMI MF1393, and
SEMI MF1529 give details of measurement procedures
that may be applied to evaluating the uniformity of thin
film properties.
2.5.2 This practice does not deal with acquisition or
analysis of uniformity data where it is desired to take
more than one measurement per specified spatial cell
such as is commonly done for wafer site flatness
measurements.
2.6 This practice makes no recommendations regarding
the interpretation of the statistics that result from
analysis of the data acquired with regard to the
goodness or badness of given values of the test statistic,
nor does it make recommendations regarding decisions
about the process cycle or equipment used to produce
the thin film that was measured.
2.7 The principles of this practice may be adapted to
determine the uniformity of bulk silicon wafer
properties such as interstitial oxygen content and
resistivity, but depending on the desired property and
the chosen measurement technique, depth-dependent
variations may be misinterpreted as lateral variations.
NOTICE: This standard does not purport to address
safety issues, if any, associated with its use. It is the
responsibility of the user of this standard to establish
appropriate safety and health practices and determine
the applicability of regulatory or other limitations prior
to use.
3 Limitations
3.1 This practice is written for evaluation of planar or
blanket films, but it may be applied to patterned films if
the pattern size, shape, and distribution do not interfere
with the spatial resolution of the selected measurement
technique and the specified measurement site selection.
If either of these interferences occur, the user may adapt
the principles of the method to the needed application,
but the interpretation of the results may change.
3.2 The principles of this practice may be adapted to
other semiconductor wafers, such as gallium arsenide,
but particular concerns with those other materials may
not be addressed adequately in this practice.
3.3 Uniformity measurements from certain types of
measurements may be misinterpreted if the user is not
aware of the full nature of the basic measurement being
made. For example, sheet resistance is a function both
of the inherent resistivity of the film being measured
and of its thickness value. Non-uniformity in sheet
resistance values across the wafer may result from non-
uniformity in resistivity (layer composition or structure)
or layer thickness (deposition rate) alone, or it may
result from simultaneous variations of both parameters.
3.4 Changes in test equipment performance, or changes
in test procedure or conditions over time may
detrimentally affect the ability to compare test results
from this practice over time for a given film property or
fabrication step. It is the responsibility of the user to
ensure that the measurement system and process
remains in sufficient control to allow time-wise
comparison of uniformity results, if such comparisons
are needed.
3.5 Sampling area or sampling spot-size may cause
misinterpretation of the cause of thin film non-
uniformity if the magnitude of the non-uniformity and
its spatial scale, or rate of variation is not well matched
to the sampling spot size and the selected distribution of
measurement sites. While this should not be a serious
concern for most modern film deposition processes, and
process equipments, which are operating in control, the
principles of this limitation are worth elaborating.
3.5.1 If the sampling area or the spot size of the test
instrument is large compared to rates of film parameter
change (gradients) that are important to identify, it must
be recognized that such large sampling area instruments
generate some form of spatial average response that

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may understate macroscopic film non-uniformity or fail
to respond to microscopic film non-uniformities or
both.
3.5.2 If the sampling area or spot size is small, it is
generally possible to quantify the full scale of
macroscopic film non-uniformities. However, should
spatial fine-scale systematic film variations be present,
they may affect the individual measurements in an
inconsistent manner unless the measurement sampling
plan is tailored to the spatial size scale of the fine
variations. Such tailoring of the sampling plan is
generally incompatible with the requirements of this
practice.
3.6 For the most meaningful interpretation of
uniformity data, all sampling sites should represent
equal wafer areas, and the available area of the wafer
should be fully sampled. The existence of wafer flats
causes a failure of the first requirement with all
concentric circle sampling plans. The need of the
semiconductor industry to establish as large a quality
area as possible on wafers also causes a failure of the
first requirement for the outermost circle of concentric
circle sampling plans because of the need to measure
right up to a very small edge exclusion value. The
second requirement is not met near the perimeter of
Cartesian sampling plans.
3.7 Ideally, measurements would be made at the
specified sites in a random sequence so that instrument
drift or changes in other environmental parameters that
may affect measurement results would have a random
correlation with measurement positions. It is normally
not practical to acquire data in this fashion. Therefore,
any instrumental or environmental change that may
occur will have a correlation with the spatial ordering
of the measurement sequence. While such changes are
expected to have about the same effect on both
concentric circle and Cartesian sampling plan
measurements, providing the number of data points are
about the same, they would nevertheless have different
effects on two-dimensional contour maps that resulted
from these two different types of sampling plans.
3.8 Individual test instruments and test methods that
may be used to measure properties or characteristics of
thin films are subject to various interferences that may
affect measurement precision consistency, resolution,
and accuracy. These may include such things as
sensitivity to stray illumination, rf-fields, and variations
in temperature. It is the responsibility of the user of this
practice to consult instrument manuals and appropriate
test methods in order to identify and control potential
interferences with that instrument or method.
3.8.1 It is also the responsibility of the user to devise a
test for the inherent precision of the measurement being
made so that imprecision in the measurement is not
misinterpreted as non-uniformity of the thin film being
evaluated by this practice. This is particularly
important for application of this practice to evaluating
films from process steps that are capable of a very high
degree of uniformity, for example, 1% across a wafer.
Such tests may involve using known uniform or non-
uniform test specimens whose spatial pattern of non-
uniformity has been found to be very stable over
extended periods of time.
4 Referenced Standards
4.1 SEMI Standards
SEMI M1 — Specifications for Polished
Monocrystalline Silicon Wafers
SEMI M20 — Practice for Establishing a Wafer
Coordinate System
SEMI MF81 — Test Method for Measuring Radial
Resistivity Variation on Silicon Wafers
SEMI MF374 — Test Method for Sheet Resistance of
Silicon Epitaxial, Diffused, Polysilicon, and Ion-
Implanted Layers Using an In-Line Four-Point Probe
with the Single-Configuration Procedure
SEMI MF576 — Test Method for Measurement of
Insulator Thickness and Refractive Index on Silicon
Substrates by Ellipsometry
SEMI MF673 — Test Methods for Measuring
Resistivity of Semiconductor Slices or Sheet Resistance
of Semiconductor Films with a Non-contact Eddy-
Current Gage
SEMI MF1241 — Terminology of Silicon Technology
SEMI MF1392 — Test Method for Determining Net
Carrier Density Profiles in Silicon Wafers by
Capacitance-Voltage Measurements with a Mercury
Probe
SEMI MF1393 — Test Method for Determining Net
Carrier Density in Silicon Wafers by Miller Feedback
Profiler Measurements with a Mercury Probe
SEMI MF1529 — Test Method for Sheet Resistance
Uniformity Evaluation by In-line Four-point Probe with
the Dual-configuration Procedure
NOTICE:
Unless otherwise indicated, all documents
cited shall be the latest published versions.
5 Terminology
5.1 Definitions of terms used in this practice may be
found in SEMI M1 and SEMI MF1241.

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6 Summary of Practice
6.1 Measurements are made at the sites specified in the
chosen sampling plan using the appropriate
instrumentation and measurement procedure for the
film parameter of interest. Measures of the dispersion
of the values are obtained by simple statistics specified
for the sampling plans.
7 Apparatus
7.1 Four-probe Sheet Resistance, Eddy-current,
Mercury Probe CV, Spectroscopic Reflectometers,
Ellipsometers, Interferometers, and Stylus
Profilometers — Typical apparatus chosen according to
the type of material parameter being monitored. Others
may be chosen according to need. The instrumentation
should include such features as temperature monitoring
and control, EMI shielding, shielding from
illumination, etc. as is necessary for good practice of
that type of measurement. In addition, all
instrumentation must include the following:
7.1.1 Ability to center the wafer on the measurement
stage to an accuracy of 0.5 mm or better,
7.1.2 Vacuum chuck, or similar fixture, to secure the
wafer to the instrument stage during measurement,
7.1.3 Ability to locate the measurement points
specified in the chosen sampling plan to an accuracy of
0.5 mm or better, and
7.1.4 Ability to store all measurement data to perform
the required calculation of uniformity.
7.2 Capability of the instrumentation to perform one or
more of the following auxiliary data presentations is
highly recommended:
7.2.1 Generating a two-dimensional contour map of the
acquired data,
7.2.2 Generating a histogram of the raw data values,
and
7.2.3 Presenting the raw data as a time-series plot.
7.3 Capability to edit data and to blend or interpolate
data in conjunction with two-dimensional mapping may
be useful, but it should be done with caution.
8 Procedure
8.1 Calibrate the measurement system in accordance
with the manufacturer’s instructions or with the
applicable test method.
8.2 Place the wafer on the instrument stage so as to
locate the wafer center within 0.5 mm of the center of
the stage. For the purposes of this procedure, the wafer
center is considered to be defined by the intersection of
any two diameters that do not intersect a wafer flat or
orientation notch.
8.3 Select the sampling plan to be used from those
listed in Appendix 1 and proceed to take measurements
at all the specified locations. It may be necessary to
enter the coordinates of the desired sampling plan into
instrument software, or to work with the manufacturer
of the equipment to modify its software if the sampling
plans available in the instrument do not match the
requirements of Appendix 1.
8.4 Take measurements at all locations specified for
the selected sampling plan. Then quantify the
uniformity from the acquired data using the calculations
specified in Section 9.
9 Calculations
9.1
Calculate the mean,
x , and the standard deviation,
s, of the N measurement values, x
i
, as follows:
N
i
i
x
N
x
1
1
, and (1)
2/1
1
2
)(
1
1
N
i
i
xx
N
s (2)
9.2 Examine the data. If agreed upon between parties
to the test, reject values that are away from the mean by
more than three times the standard deviation calculated
in Section 9.1. Recalculate the mean and standard
deviation using Equations 1 and 2, where N is now the
reduced number of data points.
NOTE 1: It is generally advisable, through use of a time
series plot of the original data, or similar means, to inspect the
data just rejected for determination of measurement site
location and relation to adjacent measurement values.
NOTE 2: The calculation for standard deviation may be
made regardless of any systematic behavior of the underlying
distribution of measured values. However, when there is a
systematic spatial behavior to the measured values, the
standard deviation may not be used to estimate confidence
intervals or tolerance limits.
9.3 Calculate the following two statistics from the
complete data set or from the reduced data set if certain
measurements were rejected in Section 9.2. These two
statistics represent the range and the distribution of data
about the mean. The use of only one of these statistics
is at the discretion of the interested parties.
9.3.1 High-Low Variation, HLV, in percent:
200(%)
minmax
minmax
xx
xx
HLV
(3)