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SEMI M30-0997 © SE MI 1997 5 12 Calculatio ns 12.1 C alculate the absorption coeffi c i e nt, = α , using the expres sion: α = 1X ⋅ 1n ( Ι 0 / Ι ) = 1/X ⋅ 2.303 ⋅ (peak height of absorption ) where : α = absorption coeff…

SEMI M30-0997 © SEMI 1997 4
8.3 Holders for these test and refer ence specimens that
prevent any source of infrared radiation from bypassing
the specimen.
8.4 For use at 77K, low-temperature cryostat capable
of maintaining the specimen and reference at 77K
temperature with suitable window materials (refer to
ASTM Practice F 120).
8.5 Equipment and materials for s licing and polishing
GaAs to a final thickness tolerance of 0.005 mm or less,
and a total thickness variation of 0.01 mm or less.
9 Sampling
Unless otherwise specified, a GaAs slice used for the
carbon test is to be measured at the nominal slice
center. And if a slice is to be reduced in area prior to
test, it is shaped such that the original slice center area
is that which is tested.
10 Test Specimens
10.1 A single crystal slice of GaAs with a thickness
from 3 to 6 mm must be used for carbon determination.
10.2 The test specimen must be carefully shaped to the
following criteria:
10.2.1 Thickness variation over the m easurement area
of 0.005 mm or less.
10.2.2 Same surface preparation on both front and
back surfaces. For room temperature measurement,
surface preparation of specimen should be same with
reference sample. For 77K measurement, mirror
polishing on both surface or same surface preparation
with standard sample is recommended.
10.2.3 Final thickness agreement betw een specimen
and reference samples of 0.1 mm.
10.2.4 Surface area large enough such that with
respect to the holders no incident radiation can bypass
either specimen or reference.
11 Procedure
11.1 Prepare FT-IR in accordance with the
manufacture’s instructions.
11.2 Determine the differential tran smission spectrum
from 700 to 500 cm
-1
in accordance with of ASTM
Practice F 120.
11.2.1 The FWHM must not exceed 2 cm
-1
to achieve
reliable results. If this is not met, recheck test and
reference specimen mechanical properties, use slower
scan speed, or longer measuring time, and reverify FT-
IR operating conditions.
11.2.2 Reference to Figure 1 and Recommended
ASTM Practice E 168, Section 7, for assistance in
establishing a baseline on the finished spectrogram.
Baseline determination is very important to this
method, and becomes more critical as the measured
carbon level decreases (refer to ASTM Practice E 168).
11.2.3 For room temperature meansurement, the
following conditions are recommended:
• Detector : Broadband MCT (or TGS) (see Sections
4.1.3 and 4.1.4)
• Resolution : 0.5 cm
-1
• S/N ratio : > 3
• Range of wave number : including 700 – 500 cm
-1
• Aperture : Optimum for each FT-IR
• Apodization function : Triangle
• Smoothing : Not applicable
• Reference : Air, reference sample
• Temperature : 290 ~ 300K
11.2.4 Make the determination at low temperature
(77K) if increased sensitivity is required. Follow the
same test conditions as described in Sections 11.1 and
11.2 except reference and temperature.
11.3 Determination of the calibratio n coefficient
should be done once or more times per year. Four or
more secondary standard samples should be used for
this calibration. The user of this method can have and
use the internal standard samples to check the
spectrometer frequently.

SEMI M30-0997 © SEMI 19975
12 Calculations
12.1 Calculate the absorption coefficient,=α, using the expression:
α
= 1X ⋅1n (Ι0/Ι) = 1/X ⋅2.303 ⋅(peak height of absorption
)
where :
α
= absorption coefficient
X = specimen thickness, cm,
Ι = transmitted intensity at peak absorption (580 cm
-1
for room temperature, 582 cm
-1
for 77K, and
Ι0 = baseline intensity at peak absorption, Ι.
12.2 Determine the calibration coefficient of each FT-IR using the least square method in the following equations:
[C0]=
β
⋅
α
0 ⋅
∆
0 or [C0]=
β
⋅
α
0
where :
[C0] = already known carbon concentration in standard samples
α
0 = absorption coefficient of standard samples
∆ 0 = FWHM of standard samples
β
= calibration coefficient of each FT - IR
12.3 Calculate the concentration of s ubstitutional carbon in atoms/cm
3
with the use of the following equations:
[C]=
β
⋅
α
⋅∆ or [C] =
β
⋅
α
where :
[C] = carbon concentration in test specimen
α
= absorption coefficient of test specimen
∆ = FWHM of test specimen
β
= calibration coefficient of each FT - IR, determined in 12.2
13 Report
13.1 The following information shall be included in the report for referee and research measurements:
13.1.1 Instruments used, detector, resolution, measurement time, range of wave number, aperture, apodization
function, smoothing, specimen measurement temperature (room temperature or 77K).
13.1.2 Specimen thickness, and identification.
13.1.3 Calibration coefficient of FT-IR used, width of base line.
13.1.4 FWHM in cm
-1
, calculated absorption coefficient or absorption, and carbon concentration.
13.1.5 Date of measurement, organization performing test, and location.
13.1.6 Use of any special techniques, such as beam condenser, scale expansion, scan suppression, etc.

SEMI M30-0997 © SEMI 1997 6
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