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Handbook of Solvents - George Wypych - ChemTech - Ventech!

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4.4 Measurement <strong>of</strong> solvent activity 163<br />

Figure 4.4.9. Schematic diagram <strong>of</strong> an isopiestic vapor sorption apparatus using<br />

an electronic microbalance: PC - personal computer, MB - microbalance,<br />

WB1-3 - water bath thermostats with T 3>T 2>T 1, V1-3 - valves, WM - W-tube<br />

mercury manometer, S - polymer sample/solution, SV - solvent reservoir, MS -<br />

magnetic stirrer, CT - cold trap, VP - vacuum pump. [Reprinted with permission<br />

from Ref. 92, Copyright 1998, American Chemical Society].<br />

Comparable apparatuses<br />

were constructed<br />

and used, for example,<br />

by Bae et al. 94 or by<br />

Ashworth, 95 Ashworth<br />

and Price 96 applied a<br />

magnetic suspension<br />

balance instead <strong>of</strong> an<br />

electronic microbalance.<br />

The magnetic suspension<br />

technique has the<br />

advantage that all sensitive<br />

parts <strong>of</strong> the balance<br />

are located outside the<br />

measuring cell because<br />

the balance and the polymer<br />

solution measuring<br />

cell are in separate chambers<br />

and connected by<br />

magnetic coupling only.<br />

This allows its application<br />

even at very high<br />

temperatures <strong>of</strong> some<br />

hundred degrees as well<br />

as pressures up to hundreds <strong>of</strong> MPa.<br />

The most sensitive solvent vapor sorption method is the piezoelectric sorption detector.<br />

The amount <strong>of</strong> solvent vapor absorbed by a polymer is detected by a corresponding<br />

change in frequency <strong>of</strong> a piezoelectric quartz crystal coated with a thin film <strong>of</strong> the polymer<br />

because a frequency change is the response <strong>of</strong> a mass change at the surface <strong>of</strong> such a crystal.<br />

The frequency <strong>of</strong> the crystal decreases as mass increases when the crystal is placed in a gas<br />

or vapor medium. The frequency decrease is fairly linear. The polymer must be coated onto<br />

the crystal from a solution with some care to obtain a fairly uniform film. Measurements can<br />

be made at dynamic (vapor flow) or static conditions. With reasonable assumptions for the<br />

stability <strong>of</strong> the crystal’s base frequency and the precision <strong>of</strong> the frequency counter employed,<br />

the piezoelectric method allows the detection <strong>of</strong> as little as 10 nanograms <strong>of</strong> solvent<br />

using a 10 MHz crystal. This greatly reduces both the time necessary to attain equilibrium<br />

(3-4 hours) and the amount <strong>of</strong> polymer required. Saeki et al. 97-99 extensively applied this<br />

method to various polymer solutions in a concentration range between 60 and 100 wt%<br />

polymer. Recently, Wong et al. 100 and Mikkilineni et al. 101 presented some new investigations<br />

with this method. Figure 4.4.10 shows a schematic diagram <strong>of</strong> the general equipment.<br />

A resolution <strong>of</strong> nanograms could be realized by Mikkilineni et al. 101 Measurements<br />

were also made as a function <strong>of</strong> time to obtain diffusion coefficients. Comparison with<br />

gravimetric sorption measurements demonstrated the accuracy <strong>of</strong> the experiment. Ref. 100<br />

presents some details about the electronic circuit, the mounting arrangements for the quartz<br />

crystals and the sorption cell. Because very thin films are applied, equilibrium solvent absorption<br />

also can be obtained at polymer mass fractions approaching 1 (i.e., for small sol-

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