BEH.462/3. 962J Molecular Principles of Biomaterials Spring 2003 Supersaturation theory/model 一 Slowly nude crystal (crystals). The profiles were derived using the diffusor ciat=Dac/ax, and assuming zero concentration of solution at the the crystallizing region( that is, assuming that all the ions that reach the the crystal stick irreversibly). The dashed line corresponds tothe conc b the saturated solution, Caat be low which nucleation on the slowly surface does not occur In the regiona where co)<c., nucleation is suppressed. Nucleation is allowed for distances from the rapidly region, x >/a, where c >Cs. For the nucleation on the methyl-term faces, csar is -2. 5 mM. b, SEM image of the pattern of calcite crystals methy terminated surface with one isolated carboxylate termina showing the depletion distance, Io e 80Hm, in agreement with the v 100 um)calculated assuming Cout= 25 mM, Css= 2-2.5 mM and cr Concentraton time t= 30 min, c, Calculated profiles of the concentration of the solution in the vicinity of an array of rapidly nucleating regions with Aray of rapid p<2g. The effective concentration(bold lines)over the entire slowly region is then below Caat. Crystallization will only take place on nucleating regions, as shown in Fig 1c Solution is effectively undersaturated B 1 0N ★★ Lecture 12-Inorganic Biomaterials 6of13BEH.462/3.962J Molecular Principles of Biomaterials Spring 2003 ƒ Supersaturation theory/model Lecture 12 – Inorganic Biomaterials 6 of 13