diff --git a/doc/Eqs/angle_fourier.jpg b/doc/Eqs/angle_fourier.jpg new file mode 100644 index 0000000000..e748e67430 Binary files /dev/null and b/doc/Eqs/angle_fourier.jpg differ diff --git a/doc/Eqs/angle_fourier.tex b/doc/Eqs/angle_fourier.tex new file mode 100644 index 0000000000..f7f76462e3 --- /dev/null +++ b/doc/Eqs/angle_fourier.tex @@ -0,0 +1,9 @@ +\documentclass[12pt]{article} + +\begin{document} + +$$ + E = K [C_0 + C_1 \cos ( \theta) + C_2 \cos( 2 \theta) ] +$$ + +\end{document} diff --git a/doc/Eqs/angle_fourier_simple.jpg b/doc/Eqs/angle_fourier_simple.jpg new file mode 100644 index 0000000000..6c9297b970 Binary files /dev/null and b/doc/Eqs/angle_fourier_simple.jpg differ diff --git a/doc/Eqs/angle_fourier_simple.tex b/doc/Eqs/angle_fourier_simple.tex new file mode 100644 index 0000000000..3228315a13 --- /dev/null +++ b/doc/Eqs/angle_fourier_simple.tex @@ -0,0 +1,9 @@ +\documentclass[12pt]{article} + +\begin{document} + +$$ + E = K [ 1.0 + c \cos ( n \theta) ] +$$ + +\end{document} diff --git a/doc/Eqs/angle_quartic.jpg b/doc/Eqs/angle_quartic.jpg new file mode 100644 index 0000000000..744ce7a35f Binary files /dev/null and b/doc/Eqs/angle_quartic.jpg differ diff --git a/doc/Eqs/angle_quartic.tex b/doc/Eqs/angle_quartic.tex new file mode 100644 index 0000000000..ff9ff9a7dc --- /dev/null +++ b/doc/Eqs/angle_quartic.tex @@ -0,0 +1,9 @@ +\documentclass[12pt]{article} + +\begin{document} + +$$ + E = K_2 (\theta - \theta_0)^2 + K_3 (\theta - \theta_0)^3 + K_4 (\theta - \theta_0)^4 +$$ + +\end{document} diff --git a/doc/Eqs/dihedral_fourier.jpg b/doc/Eqs/dihedral_fourier.jpg new file mode 100644 index 0000000000..663ac17ee6 Binary files /dev/null and b/doc/Eqs/dihedral_fourier.jpg differ diff --git a/doc/Eqs/dihedral_fourier.tex b/doc/Eqs/dihedral_fourier.tex new file mode 100644 index 0000000000..960d3a8ea8 --- /dev/null +++ b/doc/Eqs/dihedral_fourier.tex @@ -0,0 +1,9 @@ +\documentclass[12pt]{article} + +\begin{document} + +$$ + E = \sum_{i=1,m} K_i [ 1.0 + \cos ( n_i \phi - d_i ) ] +$$ + +\end{document} diff --git a/doc/Eqs/dihedral_nharmonic.jpg b/doc/Eqs/dihedral_nharmonic.jpg new file mode 100644 index 0000000000..4f4928bdd5 Binary files /dev/null and b/doc/Eqs/dihedral_nharmonic.jpg differ diff --git a/doc/Eqs/dihedral_nharmonic.tex b/doc/Eqs/dihedral_nharmonic.tex new file mode 100644 index 0000000000..57a1d25284 --- /dev/null +++ b/doc/Eqs/dihedral_nharmonic.tex @@ -0,0 +1,9 @@ +\documentclass[12pt]{article} + +\begin{document} + +$$ + E = \sum_{n=1,n} A_n \cos^{n-1}(\phi) +$$ + +\end{document} diff --git a/doc/Eqs/dihedral_quadratic.jpg b/doc/Eqs/dihedral_quadratic.jpg new file mode 100644 index 0000000000..8fb17622f8 Binary files /dev/null and b/doc/Eqs/dihedral_quadratic.jpg differ diff --git a/doc/Eqs/dihedral_quadratic.tex b/doc/Eqs/dihedral_quadratic.tex new file mode 100644 index 0000000000..049e4b2ec4 --- /dev/null +++ b/doc/Eqs/dihedral_quadratic.tex @@ -0,0 +1,9 @@ +\documentclass[12pt]{article} + +\begin{document} + +$$ + E = K (\phi - \phi_0)^2 +$$ + +\end{document} diff --git a/doc/Eqs/improper_fourier.jpg b/doc/Eqs/improper_fourier.jpg new file mode 100644 index 0000000000..0a1b13baf8 Binary files /dev/null and b/doc/Eqs/improper_fourier.jpg differ diff --git a/doc/Eqs/improper_fourier.tex b/doc/Eqs/improper_fourier.tex new file mode 100644 index 0000000000..47ac58ef01 --- /dev/null +++ b/doc/Eqs/improper_fourier.tex @@ -0,0 +1,9 @@ +\documentclass[12pt]{article} + +\begin{document} + +$$ + E = K [C_0 + C_1 \cos ( \omega) + C_2 \cos( 2 \omega) ] +$$ + +\end{document} diff --git a/doc/Eqs/pair_tersoff.jpg b/doc/Eqs/pair_tersoff.jpg new file mode 100644 index 0000000000..bd3e147192 Binary files /dev/null and b/doc/Eqs/pair_tersoff.jpg differ