semi合集-English.pdf - 第475页
SEMI E67-0304 © SEMI 1997, 2004 10 n φ r φ pÆ 0.005 0.01 0.025 0.05 0.1 0.5 0.9 0.95 0.975 0.99 0.995 9 3 -11.84 -8.048 -5.062 -3.693 -2.704 -1.312 -0.739 -0.551 -0.304 0.209 0.744 9 4 -6.562 -5.165 -3.775 -3.043 -2.457 …

SEMI E67-0304 © SEMI 1997, 2004 9
# of cycles to 50% failure = 3000 from grap
h
µ
* = LOG (# of cycles to 50% failure)
µ
* = LOG (30000)
µ
* = 4.477
# of cycles to 16% failure = 11000 from graph
σ
*=
µ
* − LOG (# of cycles to 16% failure)
σ
* = 4.477 − LOG (11000)
σ
* = 4.477 − 4.041
σ
* = 0.436
A1-1.1.7 From Table A1 (from page 272 of Nelson’s book), look up t*:
This data indicates, with a 90% confidence limit, that 10% of the devices will fail by 2443 cycles.
A1-1.1.8 Table A1 percentiles t* (d: 10, n, r) for limits for y
.10
.
n
φ
r
φ
pÆ 0.005 0.01 0.025 0.05 0.1 0.5 0.9 0.95 0.975 0.99 0.995
2 2 -183.9 -88.09 -36.3 -16.4 -7.869 -1.405 -0.327 -0.118 0.083 0.444 0.888
3 2 -117.6 -59.41 -26.14 -13.45 -6.786 -1.38 -0.495 -0.256 -0.0715 0.898 2.072
3 2 -17.6 -12.28 -7.761 -5.497 -3.691 -1.326 -0.473 -0.305 -0.154 0.047` 0.172
4 2 -113.5 -56.59 -21.5 -11.55 -5.934 -1.348 -0.537 -0.28 0.236 1.864 4.305
4 3 -15.58 -11.52 -7.112 -5.071 -3.503 -1.313 -0.558 -0.399 -0.252 -0.0573 0.107
4 4 -9.617 -7.008 -4.985 -3.792 -2.921 -1.29 -0.559 -0.409 -0.265 -0.124 -0.0141
5 2 -112.9 -48.61 -18.13 -9.49 -4.988 -1.322 -0.567 -0.182 0.519 2.436 5.585
5 3 -13.33 -9.911 -6.294 -4.598 -3.208 -1.306 -0.622 -0.463 -0.285 -0.00405 0.271
5 4 -7.956 -6.415 -4.652 -3.636 -2.778 -1.292 -0.624 -0.475 0.335 -0.173 -0.0587
5 5 -5.565 -4.871 -3.892 -3.184 -2.585 -1.287 -0.622 -0.472 -0.344 -0.202 -0.109
6 2 -76.15 -37.64 -17.14 -8.573 -4.669 -1.313 -0.57 -0.0928 0.779 3.427 6.336
6 3 -14.2 -10.33 -6.289 -4.393 -3.107 -1.303 -0667 -0.503 -0.323 -0.0332 0.375
6 4 -7.414 -5.87 -4.386 -3.487 -2.721 -1.302 -0.673 -0.546 -0.427 -0.286 -0.197
6 5 -5.45 -4.681 -3.746 -3.083 -2.498 -1.297 -0.673 -0.547 -0.44 -0.309 -0.219
6 6 -4.663 -4.012 -3.336 -2.826 -2.371 -1.3 -0.678 -0.546 -0.438 -0.322 -0.246
7 2 -68.12 -32.41 -15.19 -8.208 -4.34 -1.303 -0.561 -0.016 0.989 4.067 9.64
7 3 -12.82 -9.162 -5.602 -4.099 -3.005 -1.301 -0.71 -0.529 0.33 -0.0654 0.292
7 4 -7.571 -5.812 -4.171 -3.346 -2.622 -1.298 -0.722 -0.587 -0.464 -0.289 -0.12
7 5 -5.523 -4.604 -3.705 -3.034 -2.417 -1.295 -0.723 -0.595 -0.495 -0.361 -0.243
7 6 -4.636 -4.112 -3.351 -2.791 -2.32 -1.288 -0.722 -0.597 -0.501 -0.381 -0.294
7 7 -4.282 -3.693 -3.041 -2.641 -2.228 -1.285 -0.725 -0.595 -0.501 -0.376 -0.287
8 2 -63.58 -29.95 -13.34 -6.948 -3.728 -1.293 -0.472 0.226 1.645 6.157 14.5
8 3 -10.54 -7.628 -4.967 -3.637 -2.756 -1.297 -0.732 -0.549 -0.309 0.13 0.54
8 4 -6.59 -5.172 -3.937 -3.119 -2.484 -1.286 -0.752 -0.609 -0.468 -0.266 -0.11
8 5 -5.363 -4.296 -3.443 -2.885 -2.361 -1.287 -0.757 -0.629 -0.507 -0.358 -0.242
8 6 -4.515 -3.855 -3.22 -2.756 -2.282 -1.287 -0.758 -0.633 -0.514 -0.386 -0.306
8 7 -4.086 -3.583 -3.019 -2.602 -2.205 -1.284 -0.755 -0.632 -0.514 -0.399 -0.336
8 8 -3.781 -3.414 -2.851 -2.485 -2.162 -1.29 -0.757 -0.63 -0.514 -0.404 -0.338
9 2 -56.28 -30.29 -11.44 -6.353 -3.55 -1.314 -0.465 0.353 2.089 6.581 11.57

SEMI E67-0304 © SEMI 1997, 2004 10
n
φ
r
φ
pÆ 0.005 0.01 0.025 0.05 0.1 0.5 0.9 0.95 0.975 0.99 0.995
9 3 -11.84 -8.048 -5.062 -3.693 -2.704 -1.312 -0.739 -0.551 -0.304 0.209 0.744
9 4 -6.562 -5.165 -3.775 -3.043 -2.457 -1.31 -0.772 -0.64 -0.505 -0.3 -0.167
9 5 -5.034 -4.316 -3.446 -2.851 -2.318 -1.307 -0.777 -0.66 -0.548 -0.427 -0.326
9 6 -4.437 -3.901 -3.21 -2.714 -2.232 -1.305 -0.779 -0.663 -0.566 -0.444 -0.365
9 7 -4.103 -3.651 -3.08 -2.605 -2.177 -1.303 -0.78 -0.665 -0.57 -0.457 -0.373
9 8 -3.813 -3.408 -2.878 -2.49 -2.135 -1.3 -0.776 -0.665 -0.572 -0.459 -0.381
9 9 -3.624 -3.228 -2.752 -2.413 -2.067 -1.298 -0.78 -0.666 -0.571 -0.458 -0.396
10 2 -60.81 -27.39 -10.07 -5.683 -3.326 -1.299 -0.34 0.77 2.744 7.973 15.67
10 3 -9.675 -6.99 -4.618 -3.42 -2.572 -1.301 -0.758 -0.532 -0.255 0.306 1.018
10 4 -6.389 -5.028 -3.792 -2.993 -2.353 -1.297 -0.798 -0.657 -0.528 -0.332 -0.134
10 5 -5.258 -4.324 -3.357 -2.749 -2.257 -1.297 -0.801 -0.684 -0.581 -0.426 -0.315
10 6 -4.559 -3.701 -3.029 -2.569 -2.182 -1.294 -0.802 -0.689 -0.59 -0.488 -0.405
10 7 -3.838 -3.43 -2.853 -2.497 -2.121 -1.293 -0.803 -0.689 -0.593 -0.497 -0.428
10 8 -3.706 -3.173 -2.752 -2.401 -2.091 -1.292 -0.803 -0.688 -0.598 -0.502 -0.431
10 9 -3.458 -3.118 -2.636 -2.353 -2.046 -1.288 -0.804 -0.689 -0.598 -0.502 -0.438
10 10 -3.297 -2.996 -2.561 -2.284 -2.02 -1.29 -0.804 -0.693 -0.598 -0.501 -0.437
NOTE: Reprinted with permission from The American Statistician © 1979 by the American Statistical Association. All rights reserved.
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SEMI E68-0997 © SEMI 1997, 2003 1
SEMI E68-0997 (Reapproved 1103)
TEST METHOD FOR DETERMINING WARM-UP TIME OF MASS FLOW
CONTROLLERS
This test method was technically reapproved by the Global Gases Committee and is the direct responsibility
of the North American Gases Committee. Current edition approved by the North American Regional
Standards Committee on July 27, 2003. Initially available at www.semi.org October 2003; to be published
November 2003. Originally published September 1997.
1 Purpose
1.1 The purpose of this method is to provide a
standardized method for quantifying the warm-up time
of an MFC.
NOTE 1: Warm-up times affect the initial performance of a
mass flow controller (MFC). Warm-up time is necessary
information in deciding if a process tool is ready to be put
back into service. In addition, warm-up data will be useful in
calibration labs.
2 Scope
2.1 The test conditions in this method are intended to
simulate bench top warm-up, with an MFC that has
been equalized to ambient conditions for 24 hours
before the application of power.
NOTICE: This standard does not purport to address
safety issues, if any, associated with its use. It is the
responsibility of the users 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 Conditions in the lab may be different from
conditions found in the field and may influence test
results. This test is intended to measure warm-up under
a controlled condition.
3.2 The MFC is to be at ambient temperature before
the beginning of the test.
3.3 Due to manufacturing variability, warm-up times
may vary for the same model of MFC. This
specification addresses a method for taking a single
data point repetitively from the same MFC. Resulting
data will show exactly how warm-up effects change the
delivered flow of that particular MFC. To statistically
quantify warm-up time for a particular model of MFC,
multiple samples should be tested.
4 Referenced Documents
None.
5 Terminology
5.1 Abbreviations and Acronyms
5.1.1 DUT — Device under test
5.1.2 FS — Full scale
5.1.3 MFC — Mass flow controller
5.2 Definitions
5.2.1 device under test — the MFC being tested for
warm-up time.
5.2.2 indicated flow — flow indicated by the MFC
under test. Electrical output of the DUT.
5.2.3 stability — a condition that exhibits only natural,
random variations in the absence of unnatural,
assignable-cause variations. For the several purposes of
this test, stability is defined as ± 10% of the accuracy of
the DUT at full scale.
5.2.4 steady state — state at which the indicated flow
is stable for a 15-minute time period.
5.2.5 warm-up — a process where the MFC goes from
an unpowered condition to a condition where the output
is within ± 1% full scale, of the final steady state output.
6 Summary of Test Method
6.1 The DUT is connected in series with shut-off
valves on either side of the DUT. With no gas flow and
the DUT powered, indicated flow is monitored until
steady state is achieved. Power is briefly disconnected
then reconnected and indicated flow is again monitored
until steady state is achieved.
7 Significance and Use
7.1 Data generated by this method is used to estimate
the amount of time an MFC should be powered up in a
process tool before resuming production. When
calibrating an MFC, the warm-up time can be used to
estimate the waiting time before calibration. For power
interruptions, the power interruption warm-up time may
be used to determine the time required following a
power interruption to resume production or calibration.