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Chapter II Solution Growth….<br />

system. This phenomenon is referred to secondary nucleation. This<br />

classification can be represented as follows:<br />

Nucleation can often be induced by external influences like agitation,<br />

mechanical shock, friction, extreme pressures, electric and magnetic fields,<br />

spark discharge ultraviolet, X-rays, - rays irradation, sonic and ultrasonic<br />

shaking etc. Stirred water can be super-cooled by about 0.5 0 C, whereas,<br />

undisturbed distilled water can be super-cooled to as much as -4 0 C. Similarly,<br />

water in a capillary tube can be super-cooled to lower temperatures than in<br />

larger vessels.<br />

2.18 Nucleation Thermodynamics<br />

In the first order phase transition there is a discontinuous change in<br />

some order parameters between the two phases. Such a change is driven by<br />

the change in the free energy as the new phase is formed. The condition for<br />

stable equilibrium between two large phases is the equality of their chemical<br />

potentials. By chance if the chemical potential of one of them is higher than<br />

that of the other, a mass transport occurs until the chemical potentials<br />

become equal again throughout the system. The driving force of this transport<br />

is the difference between the chemical potentials (∆ μ) of the two phases is<br />

called super-saturation and the product of this quantity and the number of<br />

transported molecules will contribute for the bulk energy change of the new<br />

phase.<br />

95

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