Theoretical approaches to receptor function and response of semiconductor gas sensor are described, following the illustrations of
some relevant key issues such as tunneling transport. Depletion in small
semiconductor crystals is characterized by the occurrence of new type
depletion (volume depletion) after conventional one (regional
depletion), and inclusion of both types makes it possible to formulate
the receptor function and response to oxygen (air base), oxidizing gas
(nitrogen dioxide), and reducing gas (hydrogen). The equations derived
theoretically using physical parameters of the semiconductor side and
chemical parameters of the gases side appear to reproduce satisfactorily
the sensing behavior to the aforementioned gases as well as the
influence of changes in physical parameters such as grain size and donor
density. Extension to the semiconductor crystals dispersed with surface
electron-traps shows that the traps act as a sensitizer to promote
sensor response.
1. Introduction
A semiconductor gas sensor (called device hereafter) possesses an
electrical resistance made with a porous assembly of tiny crystals of an
n-type metal oxide semiconductor, typically SnO2, In2O3, or WO3. The
crystals are often loaded with a small amount of foreign substance
(noble metals or their oxides) called a sensitizer. When operated at
adequate temperature in air, the resistor changes its resistance sharply
on contact with a small concentration of reducing gas or oxidizing gas,
enabling us to know the concentration from the resistance change. For
its inauguration with a report by Seiyama et al. and a patent by
Taguchi, this group of sensors has been subjected to a tremendous amount
of R&D efforts world wide aiming at improvements of sensing
performances and extensions to new applications. Thanks to these
researches, the group not only has grown to provide important tools to
detect and/or control gases in places in modern society but also has
pioneered to founding a new technology field where the devices are
called chemical sensors. Speaking more exactly, semiconductor gas
sensors have been classified into two subtypes, that is,
surface-sensitive type operating at temperatures below 500∘C and
bulk-sensitive one operating at high temperature (typically at 800∘C) .
This article is concerned with those of the former type only.
Apart from such remarkable achievements in practical applications, basic
understandings of this group of sensors have hardly been satisfactory,
despite tremendous efforts of so many researchers as summarized in
reviews [5–8]. This is partly because there are many complex factors
which affect sensing properties. Not only the selection of a proper
oxide semiconductor is important but also the methods and conditions for
fabricating sensor devices exert profound influences on gas sensing
properties through changes in donor density, crystallite size,
contacting geometry between crystals, packing density (or porosity),
packing thickness, and so on. In addition, the sensing properties
are often modified largely with loading with foreign substances such as
sensitizers. Understandings of these phenomena indeed have required
interdisciplinary knowledge among semiconductor physics, surface
chemistry, solid-state chemistry, and so on. In order to facilitate the
understandings, we have proposed to assume that the sensing properties
are determined by three main factors, that is, receptor function,
transducer function, and utility factor, as schematically shown in
Figure 1. The first factor is concerned with how each constituent
crystal responds to the surrounding atmosphere containing oxygen and
target gases (intraparticle issue).
It is unanimous that oxygen is
adsorbed on the crystals as negatively charged species, accompanied by
the formation of a depletion layer inside the crystals. The target gases
disturb the equilibrium through being adsorbed competitively or
reacting with the adsorbed oxygen. The foreign substances like
sensitizers dispersed on the crystals are assumed to affect these
processes anyhow. The second factor is concerned with how the response
of each particle is transformed into that of the whole device, and
apparently this is related with the mechanism of electron transport
between adjacent crystals (inter-particle issue). For a long time a
double Schottky barrier model [9], which assumes migration transport of
electrons over the barrier as shown, has been advocated for this process
without critical check. The third one is concerned with the attenuation
of the response due to the effect of diffusion and reaction of reactive
target gases through the pores of the assembly of crystals (assembly
issue) . The above scheme has explained rather well qualitative
nature of semiconductor gas sensors in several respects. However, it has
failed to give quantitative understandings and, most importantly, to
give new insights leading to innovations of this group of sensors. There
should have been some serious defaults included in the scheme,
particularly regarding the receptor and transducer functions.
Figure 1: Three factors determining the response of semiconductor gas sensors.
Fortunately, we encountered an interesting finding several years ago
that thin film devices fabricated from hydrothermally prepared colloidal
suspensions of SnO2 by a spin-coating technique showed
temperature—almost independent resistances in air in the temperature
range 150–400∘C, as shown in Figure 2. Such thermal behavior of
resistances is hardly consistent with the double Schottky barrier model
mentioned above. Instead, tunneling transport of electrons across the
contacts (or gaps) between adjacent crystals is strongly suggested. In
addition, this transport mechanism has made much easier the theoretical
modeling of receptor and transducer functions recently carried out
[14–16], because the constituent crystals can now be treated
independently from each other. As revealed during this process,
depletion in small crystals easily goes beyond conventional one
(regional depletion) to enter new type one (volume depletion).
Obviously, it is a lack of such information that has delayed fundamental
understandings of this group of sensors, for most of their valuable gas
sensing properties show up in the stage of volume depletion or nearby.
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