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Data Analysis Sheet SH.1

Data analysis sheet for step height measurements from one 3-D data set.


a)                                                   b)


Figure SH.1.1.  For a CMOS step height test structure: a) a design rendition and b) a cross-section.

To obtain the following measurements, consult SEMI standard test method MS2 entitled
"Test Method for Step-Height Measurements of Thin, Reflecting Films Using an Optical Interferometer."




 

Preliminary INPUTS

Data Set Prelims

Description

1 proc =

  

 

which process?
2 quad =        

 

        

  

     

  

which quad of test structures, if applicable?
3 0°     

  

 

orientation
4 × magnification
5 Yes      alignment ensured?
6 Yes      data leveled?
7 µm certified value of step height standard
8 µm certified one sigma uncertainty of certified value of step height standard
9 µm maximum uncalibrated range of the six calibration measurements taken before the data session or after the data session (whichever is larger)
10 µm the uncalibrated average of the six calibration measurements from which zrepeat was found
11 µm uncalibrated drift in the calibrated data (i.e., the absolute value of the mean value of the six calibration measurements taken before the data session minus the mean value after the data session)
12 the z-calibration factor = the certified value of the step height standard divided by the average of the twelve calibration measurements
13 percent quoted by interferometer manufacturer for the maximum deviation from linearity of the data scan over the total scan range divided by 1 % such that it is unitless

                                      

                                    


Nomenclature:
    "N" refers to the test structure number ("1," "2," "3," etc.),
    "X" and "Y" refer to the platform letter ("A," "B," "C," etc.), and
    "t" indicates which data trace ("a," "b," or "c").

Uncalibrated PLATFORM INPUTS (in mm) Calibrated CALCULATIONS (in mm)
1 4 7
2 5 8
3 6 9

Note 1:  stepNXYt = (platNYt-platNXt)*calz

Calibrated OUTPUTS (in mm)
 

10
Note 2:  stepNXY = AVE (stepNXYa, stepNXYb, stepNXYc)
Note 3:  uWstep = sstepNXY = STDEV(stepNXYa, stepNXYb, stepNXYc)
Note 4:  ucert = |scert*stepNXY / cert|
Note 5:  urepeat = |zrepeat*stepNXY / (2*1.732*z6)|
Note 6:  udrift = |zdrift*calz*stepNXY / (2*1.732*cert)|
Note 7:  ulinear = |zperc*stepNXY / (1.732*100)|
Note 8:  uc = SQRT(uWstep2+ucert2+urepeat2+udrift2+ulinear2)

Modify the input data, given the information supplied in any flagged statement below, if applicable, then recalculate:

1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.  
15.
16.

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The Semiconductor Electronics Division is within the Electronics and Electrical Engineering Laboratory.
The MNT Project (http://www.eeel.nist.gov/812/MNT/index.html) is within the Enabling Devices and ICs Group.

Date created: 3/4/2006
Last updated:
1/11/2008