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We present explicit analytic, twice-differentiable expressions for thetemperature-dependent anisotropic step line tension and step stiffness for thetwo principal surfaces of face-centered-cubic crystals, the square {001} andthe hexagonal {111}. These expressions improve on simple expressions that arevalid only for low temperatures and away from singular orientations. They arewell suited for implementation into numerical methods such as finite-elementsimulation of step evolution.Comment: 10 pages; reformatted with revtex (with typos corrected) from version  accepted by SIAM--Multiscale Modeling and Simulation on Nov. 21, 2006;  greatly expanded introduction, several minor fixes (mostly stylistic

Analytic Formulas for the Orientation Dependence of Step Stiffness and Line Tension: Key Ingredients for Numerical Modeling