Effects of the Surface Roughness on Sliding Angles of
Water Droplets on Superhydrophobic Surfaces
Masashi Miwa,
†
Akira Nakajima,
†
Akira Fujishima,
‡
Kazuhito Hashimoto,*
,†
and
Toshiya Watanabe*
,†
Research Center for Advanced Science and Technology, The University of Tokyo,
4-6-1 Komaba, Meguro-ku, Tokyo 153-8904, Japan, and Department of Applied Chemistry,
School of Engineering, The University of Tokyo, 7-3-1 Hongo, Bunkyo-ku,
Tokyo 113-8656, Japan
Received December 20, 1999. In Final Form: March 22, 2000
Various superhydrophobic films having different surface roughnesses were prepared, and the relationships
between the sliding angle, the contact angle, and the surface structure were investigated. In the highly
hydrophobic region, the sliding angles of water droplets decreased with increasing contact angles.
Microstructural observation revealed that surface structures that can trap air are important for the
preparation of low-sliding-angle surfaces. We have also derived an equation that describes the relationship
between sliding angles and contact angles on superhydrophobic surfaces with roughness. The results
calculated on the basis of this equation agreed well with the experimental ones. Moreover, we have
successfully prepared a transparent superhydrophobic film whose sliding angle is ∼1° for a 7 mg water
droplet. On this film, there was almost no resistance to the sliding of water droplets. The film obtained
satisfies the requirements of superhydrophobicity, transparency, and a low water sliding angle.
Introduction
Wettability is one of the important properties of solid
surfaces from both fundamental and practical aspects.
Among various factors, surface energy and surface rough-
ness are the dominant factors for the wettability. When
the surface energy is lowered, the hydrophobicity is
enhanced. However, even a material with the lowest
surface energy (6.7 mJ/m
2
for a surface with regularly
aligned closest-hexagonal-packed -CF
3
groups) gives a
water contact angle of only around 120°.
1
For higher
hydrophobicity, providing a proper surface roughness is
required.
2
In fact, surfaces with a water contact angle of
more than 150° were developed by introducing proper
roughness on materials having low surface energies.
3-23
While the contact angle of water has been commonly
used as a criterion for the evaluation of hydrophobicity of
the surface, this alone is insufficient for the evaluation of
the sliding properties of water droplets on surfaces.
21,23-26
A surface with a high contact angle does not always show
a low sliding angle, which is defined as the critical angle
where a water droplet with a certain weight begins to
slide down the inclined plate. For example, Murase et al.
demonstrated that a fluoropolymer with a water contact
angle of 117° shows a higher sliding angle than a poly-
(dimethylsiloxane) with a water contact angle of 102°.
24-26
They have proposed that this phenomenon is due to a
negative excess entropy caused by the rigidity of fluo-
ropolymer segments and the enhancement of an icelike
molecular arrangement in water.
25,26
Therefore, when we
discuss hydrophobicity, the sliding property of water
droplets should be evaluated separately from the contact
angle.
Bikerman investigated sliding angles on stainless steel
plates with different finishes, having the contact angles
around 90°, and proposed that the surface roughness
provides resistance for the sliding of water droplets.
27
Johnson and Dettre theoretically simulated the effect of
the surface roughness on the difference between the
* Corresponding authors. E-mail: kazuhito@fchem.chem.t.
u-tokyo.ac.jp, watanabe@fchem.chem.t.u-tokyo.ac.jp.
†
Research Center for Advanced Science and Technology.
‡
Department of Applied Chemistry.
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10.1021/la991660o CCC: $19.00 © 2000 American Chemical Society
Published on Web 05/27/2000