...  
<abstract>
<p>This is the third and last part of the volume devoted to solubility data of rare 
earth metal chlorides in water and in ternary and quaternary aqueous systems. 
Compilations of all available experimental data for each rare earth metal chloride 
are introduced with a corresponding critical evaluation. Every such evaluation 
contains a tabulated collection of all solubility results in water, a scheme of the 
water-rich part of the equilibrium 
<inline-formula>
<mml:math display="inline" overflow="scroll" 
xmlns:mml="http://www.w3.org/1998/Math/MathML">
<mml:mrow>
<mml:mi mathvariant="normal">Ln</mml:mi>
<mml:msub>
<mml:mi mathvariant="normal">Cl</mml:mi>
<mml:mn>3</mml:mn>
</mml:msub>
<mml:mo>–</mml:mo>
<mml:msub>
<mml:mi mathvariant="normal">H</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> phase diagram, solubility equation(s), a selection of suggested 
solubility data, and a brief discussion of the multicomponent systems. Because 
the ternary and quaternary systems were almost never studied more than once, 
no critical evaluations or systematic comparisons of such data were possible. 
Simple chlorides (no complexes) of Gd, Tb, Dy, Ho, Er, Tm, Yb, and Lu are treated 
as the input substances. The literature (including a thorough coverage of papers 
in Chinese and Russian) has been covered through the middle of 2008.</p>
</abstract>
...

...
<p>... (e) For any neighboring cells, <italic>j</italic> and
<italic>k</italic>,
<inline-formula>&sigma;<sub>je</sub>&equals;&sigma;<sub>ke</sub>
</inline-formula>,
<inline-formula>&sigma;<sub>ji</sub>&equals;&sigma;<sub>ki</sub>
</inline-formula> and
<inline-formula>&phi;<sub>je</sub>&equals;&phi;<sub>ke</sub>
</inline-formula>, &phi;<sub>e</sub> is the potential in intercellular
space. For convenience, we present the algorithm for the 2-D model
here; the 3-D case is similar ...</p>
...