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handbook of modern sensors

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18.1 Materials 535<br />

etching is a key technology for the micromachining <strong>of</strong> miniature three-dimensional<br />

structures in silicon. Two etching systems are <strong>of</strong> practical interest. One is based on<br />

ethylenediamine and water with some additives. The other consists <strong>of</strong> purely inorganic<br />

alkaline solutions like KOH, NaOH, or LiOH.<br />

Forming the so-called polysilicon (PS) materials allows one to develop <strong>sensors</strong><br />

with unique characteristics. Polysilicon layers (on the order <strong>of</strong> 0.5 µm) may be formed<br />

by vacuum deposition onto oxided silicon wafer with an oxide thickness <strong>of</strong> about 0.1<br />

µm [2]. Polysilicon structures are doped with boron by a technique known in the<br />

semiconductor industry as LPCVD (low-pressure chemical vapor deposition).<br />

Figure 18.1A shows the resistivity <strong>of</strong> boron-doped LPCVD polysilicon in a comparison<br />

with SCS. The resistivity <strong>of</strong> PS layers is always higher than that <strong>of</strong> a singlecrystal<br />

material, even when the boron concentration is very high. At low doping<br />

concentrations, the resistivity climbs rapidly, so that only the impurity concentration<br />

range is <strong>of</strong> interest to a sensor fabrication. The resistance change <strong>of</strong> PS with<br />

temperature is not linear. The temperature coefficient <strong>of</strong> resistance may be selected<br />

over a wide range, both positive and negative, through selected doping (Fig. 18.1B).<br />

Generally, the temperature coefficient <strong>of</strong> resistance increases with decreased doping<br />

concentration. The resistance at any given temperature <strong>of</strong> a PS layer may be found<br />

from<br />

R(T ) = R 20 e α R(T −T 0 ) , (18.1)<br />

where<br />

α R = 1 dR(T 0 )<br />

R 20 dT<br />

(A)<br />

(B)<br />

Fig. 18.1. Specific resistivity <strong>of</strong> boron-doped silicon (A); temperature coefficient <strong>of</strong> resistivity<br />

<strong>of</strong> silicon for different doping concentrations (B).

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