--- /dev/null
+#
+# This is a rough approach to fit a model function to the density
+# data of a liquid crystal. The function consists of a linear
+# branch for the high temperature region and of a curved branch with
+# linear asymptote for the low temperatuer branch
+#
+
+# free parameters:
+# m1, m2 slopes of the linear function in the low and high T region
+# Tc transition temperature
+# dens_Tc density at the transition temperature
+# g factor to scale tanh function
+
+ml = -0.0001
+mh = -0.0001
+dens_Tc = 1.020
+Tc = 45
+g = 1
+b = 0.1
+
+
+high(x) = mh*(x-Tc) + dens_Tc
+lowlin(x) = ml*(x-Tc) + dens_Tc
+curve(x) = b*tanh(g*(Tc-x))
+
+density(x) = x < Tc ? curve(x)+lowlin(x) : high(x)