Horvath-Kawazoe; Slit Pore Geometry (Original Hk - Micromeritics TriStar II 3020 Operator's Manual

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TriStar II 3020

Horvath-Kawazoe

A relative pressure lower limit is determined such that L-d
than this limit are discarded. For each collected relative pressure point, values of L are chosen in an
iterative manner, and the relative pressure (P/Po) determined by solving one of the following
equations:
• Slit Pore Geometry (original Horvath-Kawazoe)
• Cylinder Pore Geometry (Saito/Foley)
• Sphere Pore Geometry (Cheng/Yang)

Slit Pore Geometry (original HK)

When you use the original Horvath-Kawazoe
of P. The value of L is determined when the solved-for relative pressure is within 0.1% of the collected
absolute pressure.
K
P
------ -
ln
------ -
=
RT
Po
where
K
=
R
=
T
=
=
where:
Z
=
S
Z
=
A
d
=
0
302-42828-01 - Dec 2012
9
32
4
4
IP 10
/J cm
JA
---------------------------------------------------
------------------------------ -
4
L 2 d
3
0
Avogadro's number (6.023 x 10
gas constant (8.31441 x 10
analysis bath temperature (K), from an entered or calculated
value on the Po and Temperature Options dialog
gas solid nuclear separation at zero interaction energy (Å),
sample equilibrium diameter at zero interaction energy (Å) from the Horvath-
Kawazoe Physical Properties dialog
zero interaction energy diameter from the Horvath-Kawazoe Physical 
Properties dialog
A  
+
D
D
A
S
------------------------------ -
2
never equals zero. All pressure points less
0
method, the following equation is solved for each value
4
10
------------------------------ -
--------------- -
3
9
9
3 d
L d
L d
0
0
23
)
7
ergs/mole K)
Appendix C
4
10
--------------- -
+
3
9
9
d
0
0
+
Z
Z
S
A
----------------- -
2
C-19

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