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arrays [16]. However, the size and geometrical ar-
rangement of the ordered porous alumina nano-
hole array are restricted by the self-organization
conditions of each acid species. For example, the
nearest neighbor distances of nanoholes at the self-
organization condition are 475, 90 and 60 nm for
10–15 nm/min, and substrate was tightly attached
to water-cooled copper block, and furthermore,
sputtering was carried out by alternation of 1 min
deposition and 1 min rest so as not to raise sub-
strate temperature. By this method, aluminum film
surface roughness could be controlled within 2 nm
in root mean square roughness (RMS) even for Al
films which thickness were larger than 10 lm.
When an anodic oxidation of Al film is carried
out with the typical self-organization conditions of
40 V at 2 °C in 0.15 M oxalic acid solution, well-
ordered nanohole array is obtained when Al film
thickness is larger than 10 lm. By a so-called two
step anodic oxidation in which a properly long first
anodization and selective removal of porous alu-
mina film were carried out, a well ordered nano-
hole array is formed in the second anodic
oxidation [7]. Poly-crystalline domain structure of
nanohole trigonal lattice is formed, and the do-
main size increases with an increase in the first step
anodic oxidation time. It is not clear whether do-
main boundary corresponds to the crystalline
grain boundary. The domain size might be limited
by the grain size in the cases of self-organized
formation of nanohole arrays.
phosphoric acid (anodization voltage V ¼ 195 V)
a
[
(
10], oxalic acid (V ¼ 40 V) [7,8], and sulfuric acid
a
V
a
¼ 28 V) [9], respectively. Furthermore, the
arrangement of nanoholes is limited to trigonal
lattices only. It is desirable to form an ordered
nanohole array with a desired dimension and geo-
metry, and Masuda et al. proposed pretexturing
of aluminum surface using SiC molds that had
lithographically delineated periodic convexes
[
17,18].
In this study, at first, detail characterizations of
Al dots formed on SiO /Si substrate were made by
2
atomic force microscopy (AFM) and transmission
electron microscopy (TEM) observations. Then a
control of a geometrical arrangement of a nano-
hole array as well as Al dots by the use of AFM
nanoindentation were investigated. We focused on
the effect of indentation interval on a regularity of
nanohole array in this experiment. Finally, elec-
trical conduction characteristics between Al dots
were examined by attaching electrodes using fo-
cused ion beam induced tungsten deposition.
When a long time anodic oxidation is carried
out, most of the Al film is converted to porous
alumina. We found a formation of Al dot at the
2
interface between porous alumina and SiO . Initial
sputtered Al thickness was 20 lm, and anodic
oxidation was carried out with 40 V by 0.15 M
oxalic acid. Cross-sectional views of Al dots are
shown in Fig. 1. Scanning electron microscopy
(SEM) micrographs of the nanohole bottoms
shown in Fig. 1(a) and (b) were taken at different
locations on the same sample formed by 10 h an-
odic oxidation. These micrograph was taken after
cutting the Si substrate, and the Al cross-section
was slightly elongated. In some areas, Al film was
still continuous while periodic roughness reflecting
hemispherical nanohole bottoms existed as Fig.
1(a). However, Al film broke-up to individual dots
in other areas as seen in Fig. 1(b). A non-unifor-
mity of the rate of anodic oxidation would be as-
cribed to distribution of electric field because
electrode was contacted at the limited area of the
Al surface. With an enough long anodic oxida-
tion of 11 h, the entire Al dots were converted to
2
. Results and discussion
2
In order to form porous alumina film on SiO /Si
substrate, we deposited pure aluminum (99.999%)
film by sputtering on the substrate. The essential
point to get well-ordered nanohole array for
sputtered Al film by anodic oxidation is to keep
aluminum surface flat. The regularity of nanohole
arrangement is delicately dependent on the alu-
minum surface roughness, and usually regularity is
poor when the surface roughness is large. For this
reason, electropolishing with a diluted perchloric
acid is carried out in the most cases of anodic
oxidation for bulk Al. In the present study using
sputtered Al films, it is difficult to deposit thick Al
film to undergo electropolishing, hence we opti-
mized sputtering conditions to keep surface as flat
as can. The typical sputtering rate of Al is about