This experimental investigation of calcite growth quantifies relationships between solution supersaturation and the rates of step advancement. Using in situ fluid cell atomic force microscopy (AFM), we show that the movement of monomolecular steps comprising growth hillocks on {10(1) over bar 4} faces during the growth of this anisotropic material is specific to crystallographic direction. By quantifying the sensitivity of step growth kinetics to supersaturation, we can produce spiral hillocks with unique geometries. These forms are caused by a complex dependence of step migration rates, nu(s+) and nu(s-), upon small differences in solution chemistry as they grow normal to the conventional fast ([(4) over bar 41](+) and [481](+)) and slow ([(4) over bar 41](-_) and [48(1) over bar](-)) crystallographic directions. As solute activity, a, decreases, nu(s+) and nu(s-) converge and growth hillocks express a pseudoisotropic form. At still lower supersaturations where a approaches its equilibrium value, a(e), an inversion in the rates of step advancement produces hillocks with unusual reversed geometries. Comparisons of the kinetic data with classical theoretical models suggest that the observed behavior may be due to minute impurities that impact the kinetics of growth through blocking and incorporation mechanisms. These findings demonstrate the control of crystallographic structure on the local-scale kinetics of growth to stabilize the formation of unusual hillock morphologies at the near-equilibrium conditions found in natural environments. Copyright (C) 1999 Elsevier Science Ltd.