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Chapter II Solution Growth….
The frequency of formation of these crystals nuclei from their
respective supersaturated solution has been given [110] as,
Where, K = Constant
103
(2.14)
U1 = Energy of activation for the molar phase transition from
solution to crystal.
k = Boltzmann constant
T = Temperature in Kelvin
For a given volume of solution, the rate of nucleation is inversely
proportional to the induction time. After taking logarithms on both sides,
For an isotherm, the term U / kT
1
written as,
U1 G
1n 1n K 1 (2.15)
kT kT
is a constant and so equation (2.15) is
G
1n B (2.16)
kT
To evaluate the energy of formation ΔG, simplification in the form of first
approximation is taken for the change in chemical potential [110] as,
r
10
r
1=
Chemical potential of supersaturated solution.
10 = Chemical potential of saturated solution.
Applying equations (2.13) and (2.16) in (2.17)
k T 1n S
(2.17)
(2.18)