172904-3
Lai et al.
Appl. Phys. Lett. 90, 172904 ͑2007͒
tively. M− can represent the oxygen or fluorine atomic
masses in our experiment because they are negatively
charged ions. The decrease in could be the reason for the
0
increase in M, which implies that M− is changed from a
heavier to a lighter mass atom. In other words, lower reso-
nant frequency Al–F dipoles are substituted for higher reso-
nant frequency of Al–O dipoles. Therefore, the extracted S0
values are consistent with the , which also implies that
0
Al–F dipole structures are exchanged for Al–O dipoles. Fig-
ure 3 is a schematic of the dipole structures of Al–O and
1
2
respectively, as defined in Eq. ͑4͒ or ͑5͒. ⌬X is the displace-
ment of O or F atoms from their equilibrium position.
F atoms have a lower ⌬X because of their heavier mass;
therefore, the dipole moment is smaller for F bonding than
the O bonding. The F-incorporated films would induce low-
ering of the dielectric constant or increase the CET ͑not
shown͒, as a result of the decrease in the dielectric dipole
moment for F-terminated thin films.
FIG. 3. ͑Color online͒ Schematic model of Al–O and Al–F oscillator di-
poles. Al–F dipoles have lower polarizability because of their smaller dis-
placement ⌬X.
In conclusion, the characteristics of Al O films with F
2
3
Al–O chemical bonds are formed by fluorine incorporation,
implanted on silicon substrates were studied by spectro-
which causes larger m for the Al–F dipoles than the Al–O
scopic ellipsometry. Extracted S and parameters from
0
0
0
dipoles because the mass of the F atom is larger than that of
the O atom. Therefore, the Al–O bonds are gradually re-
placed by Al–F bonds with increasing fluorine concentra-
tions, which can be determined from the fitted data of the
optical ellipsometry analysis. From the point of view of the
the fitted Sellmeier model demonstrated that Al–O bonds
were replaced by Al–F bonds during fluorine incorporation.
The average oscillator strength and position represent the
behavior of dipoles within the Al O films. This approach
was found to be suitable for estimation of future gate oxide
applications.
2
3
extracted parameter ,0 is largest for the highest
0
F-implantation dosage. The average oscillator positions, ,
0
1
for the F-implanted dosages of 5ϫ1013 and 2ϫ10 cm
14
−2
S. J. Rhee, Chang Seok Kang, Chang Hwan Choi, Chang Yong
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are 0.102 and 0.145 m, respectively. In order to understand
the oscillator behavior of molecular structures, we consider
Jack C. Lee, Tech. Dig. - Int. Electron Devices Meet. 2004, 837.
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2
0
instead of . The resonant frequency is related to
0
0
0
H. S. Shin, M. H. Kim, K. Fujihara, H. K. Kang, and J. T. Moon, Tech.
as follows:
Dig. - Int. Electron Devices Meet. 2000, 645.
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3
2
c
0
=
,
͑4͒
7
6.
0
4
C. S. Lai, K. M. Fan, Y. J. Chen, K. H. Su, C. R. Wu, S. J. Lin and C. Y.
Lee, International Semiconductor Device Research Symposium 2005 ͑un-
published͒, Paper No. WP7–01–01.
where c is the velocity of light in free space. A lower oscil-
0
5
6
7
8
9
0
P. J. Wright and K. C. Saraswat, IEEE Trans. Electron Devices 36, 879
͑1989͒.
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1
deduced from the values of and Eq. ͑4͒. This is because
the resonant frequency of dielectric dipoles is inversely
proportional to . With regard to oscillator vibration, the
dipoles such as Al–O or Al–F are assumed to act like springs,
as shown in Fig. 3, which have a resonant frequency
0
0
0
k
1
1
1
0
=
ͱ
,
=
+
,
͑5͒
M
M
M− M+
1
where k is the spring constant. M, M , and M are the re-
−
+
1
duced mass and negative and positive ion masses, respec-
M. Didomenico, Jr. and S. H. Wemple, J. Appl. Phys. 40, 720 ͑1969͒.
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