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\documentstyle[12pt]{article}
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\begin{document}
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\begin{eqnarray}
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E &=& 144 \phi^2 \epsilon \left[ \frac{\sigma^{6}}{7560}
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\left(\frac{D-6R}{D^{7}} + \frac{D+8R}{(D+2R)^{7}} \right) -
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\frac{}{} \right. \nonumber \\
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&&\qquad \left. \frac{1}{6} \left(\frac{2R(D+R) + D(D+2R)
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\left[ \ln D - \ln (D+2R) \right]}{D(D+2R)} \right) \right]
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\qquad r < r_c \nonumber
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\end{eqnarray}
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\end{document}
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@ -4,25 +4,25 @@
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\begin{eqnarray}
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U_A &=& - \frac{A_{cc}}{6} \left[
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\frac{2 a_1 a_2}{r^2-\left(a_1+a_2\right)^2}
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+ \frac{2 a_1 a_2}{r^2 - \left(a_1 - a_2\right)^2}
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+ \mathrm{ln}
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\left(
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\frac{r^2-\left(a_1+a_2\right)^2}{r^2-\left(a_1-a_2\right)^2}
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\right)
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\right] \nonumber \\
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\frac{2 a_1 a_2}{r^2-\left(a_1+a_2\right)^2}
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+ \frac{2 a_1 a_2}{r^2 - \left(a_1 - a_2\right)^2}
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+ \mathrm{ln}
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\left(
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\frac{r^2-\left(a_1+a_2\right)^2}{r^2-\left(a_1-a_2\right)^2}
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\right)
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\right] \nonumber \\
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\nonumber \\
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U_R &=& \frac{A_{cc}}{37800} \frac{\sigma^6}{r}
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\left[ \frac{}{} \right. \nonumber \\
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&&\qquad \frac{r^2-7r\left(a_1+a_2\right)+6\left(a_1^2+7a_1a_2+a_2^2\right)}
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{\left(r-a_1-a_2\right)^7} \nonumber \\
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&&\qquad +\frac{r^2+7r\left(a_1+a_2\right)+6\left(a_1^2+7a_1a_2+a_2^2\right)}
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{\left(r+a_1+a_2\right)^7} \nonumber \\
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&&\qquad -\frac{r^2+7r\left(a_1-a_2\right)+6\left(a_1^2-7a_1a_2+a_2^2\right)}
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{\left(r+a_1-a_2\right)^7} \nonumber \\
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&&\qquad \left. -\frac{r^2-7r\left(a_1-a_2\right)+6\left(a_1^2-7a_1a_2+a_2^2\right)}
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{\left(r-a_1+a_2\right)^7}
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\right] \nonumber \\
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&&\qquad \frac{r^2-7r\left(a_1+a_2\right)+6\left(a_1^2+7a_1a_2+a_2^2\right)}
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{\left(r-a_1-a_2\right)^7} \nonumber \\
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&&\qquad +\frac{r^2+7r\left(a_1+a_2\right)+6\left(a_1^2+7a_1a_2+a_2^2\right)}
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{\left(r+a_1+a_2\right)^7} \nonumber \\
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&&\qquad -\frac{r^2+7r\left(a_1-a_2\right)+6\left(a_1^2-7a_1a_2+a_2^2\right)}
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{\left(r+a_1-a_2\right)^7} \nonumber \\
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&&\qquad \left. -\frac{r^2-7r\left(a_1-a_2\right)+6\left(a_1^2-7a_1a_2+a_2^2\right)}
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{\left(r-a_1+a_2\right)^7}
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\right] \nonumber \\
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\nonumber \\
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U &=& U_A + U_R, \qquad r < r_c \nonumber
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\end{eqnarray}
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@ -113,9 +113,9 @@ LAMMPS</A> section for more info.
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<P>Because this potential uses the radii of the particles, the atom style
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must support particles whose size is set via the <A HREF = "shape.html">shape</A>
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command. For example <A HREF = "atom_style.html">atom_style</A> colloid or
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ellipsoid. Only spherical mono-disperse particles are currently
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allowed for pair_style yukawa/colloid, which means the 3 shape
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diameters for all particle types must be the same.
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ellipsoid. Only spherical particles are currently allowed for
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pair_style yukawa/colloid, which means that for each particle type,
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its 3 shape diameters must be equal to each other.
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</P>
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<P><B>Related commands:</B>
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</P>
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@ -110,9 +110,9 @@ LAMMPS"_Section_start.html#2_3 section for more info.
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Because this potential uses the radii of the particles, the atom style
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must support particles whose size is set via the "shape"_shape.html
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command. For example "atom_style"_atom_style.html colloid or
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ellipsoid. Only spherical mono-disperse particles are currently
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allowed for pair_style yukawa/colloid, which means the 3 shape
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diameters for all particle types must be the same.
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ellipsoid. Only spherical particles are currently allowed for
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pair_style yukawa/colloid, which means that for each particle type,
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its 3 shape diameters must be equal to each other.
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[Related commands:]
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