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Chapter II Solution Growth….<br />

layer wise manner. The crystallizing substance is delivered to the step by<br />

either bulk or surface diffusion. However, their relative role is not well<br />

established.<br />

Recently, many authors have discussed different crystal growth topics<br />

covering mainly the solution growth, which are thermodynamics versus<br />

kinetics [15], the terrace-step-kink approach and the capillary wave approach<br />

to the fluctuation properties [38] and a comprehensive treatise on crystal<br />

growth from solutions [39].<br />

All methods of growing crystals from solutions are based on the<br />

dependence of the solubility of a substance on the thermodynamic<br />

parameters of the process, temperature, pressure and solvent concentration.<br />

In the majority of the cases the temperature dependence of the solubility is<br />

employed. The state of super-saturation is very essential for crystallization to<br />

occur. One of the convenient ways in which the degree of super-saturation<br />

can be expressed by the means of the following expression,<br />

S = C /C *<br />

Where, C is the concentration of the solution and C * is the equilibrium<br />

saturation concentration at the same temperature. Hence different three<br />

states of saturations are denoted by the values of S; namely, a saturated<br />

solution indicates S = 1, under-saturated solution denotes S < 1, and<br />

supersaturated solution indicates S > 1. Other common expressions of super-<br />

saturation are the concentration driving force, Δ C, and relative super-<br />

saturation, σ, defined by [40]<br />

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