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ABSTRACT LONG, YUN. Pressure Tensor of Adsorbate in ...

ABSTRACT LONG, YUN. Pressure Tensor of Adsorbate in ...

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us<strong>in</strong>g the IK def<strong>in</strong>ition, but it is exactly the same as that obta<strong>in</strong>ed by the Harasima def<strong>in</strong>ition,<br />

and is a constant due to the hydrostatic equilibrium (Sec. 3.2).<br />

8.2.3 Results and Discussion<br />

The normal pressure <strong>of</strong> adsorbate (argon) is a constant across the pore for a given pore width<br />

and thus this value is also equal to the normal pressure act<strong>in</strong>g on the wall. This normal<br />

pressure usually oscillates between positive and negative as the empty pore width, H * e ,<br />

<strong>in</strong>creases due to oscillations <strong>in</strong> the average density <strong>of</strong> the adsorbate, as shown <strong>in</strong> Figure 8.2.<br />

For example, for a pore width <strong>of</strong> H * e = 2.0 only two layers <strong>of</strong> argon can be accommodated,<br />

and further <strong>in</strong>creases <strong>in</strong> H * e only <strong>in</strong>creases the distance between the two layers, which causes<br />

the average density and the normal pressure to decrease, and places the adsorbate <strong>in</strong>side the<br />

pore <strong>in</strong> a state <strong>of</strong> tension. However, at H e *<br />

= 2.4 the pore becomes wide enough to<br />

accommodate the formation <strong>of</strong> an additional layer <strong>of</strong> argon, which results <strong>in</strong> a rapid <strong>in</strong>crease<br />

<strong>in</strong> density and compression <strong>of</strong> the fluid <strong>in</strong> the normal direction. The density peaks at H * e =<br />

2.5 when this additional layer is completely filled, and further <strong>in</strong>crease <strong>in</strong> pore width leads to<br />

another <strong>in</strong>crease <strong>in</strong> <strong>in</strong>terlayer distance and decrease <strong>in</strong> density and normal pressure, until<br />

another additional layer <strong>of</strong> argon can start to form. Such oscillations <strong>in</strong> the normal pressure,<br />

P N , are well known and are observed <strong>in</strong> surface force measurements [4, 5] as well as <strong>in</strong><br />

simulations and theoretical calculations [39]. It is worth not<strong>in</strong>g that at a temperature as high<br />

as 300.0 K, due to the large k<strong>in</strong>etic contribution (see Eqn. (3.15)), the normal pressure is<br />

almost always positive, except for very small pores (H * e < 2.4), where the configurational<br />

adsorbate-carbon contribution is very large.<br />

126

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