Crystal Growth Rates from Molecular Liquids: The Kinetics of Entropy Loss.

Area of Science:

• Physical Chemistry
• Materials Science
• Crystallization Kinetics

Background:

• Empirical evidence shows crystal growth rate is linked to the entropy of fusion.
• The underlying mechanisms for this entropic effect on crystal growth kinetics are not fully understood.

Purpose of the Study:

• To elucidate the fundamental reasons behind the entropic slowdown in crystal growth.
• To develop a theoretical framework explaining the kinetics of crystal formation from a melt.
• To relate the coupling magnitude to interfacial free energy.

Main Methods:

• Theoretical treatment of crystallization kinetics.
• Modeling based on a flat energy landscape.
• Derivation of an explicit expression for coupling magnitude.

Main Results:

• Demonstrated that the entropic slowdown originates from the distinct processes of entropy and energy loss during freezing.
• Derived an explicit expression linking coupling magnitude to crystal-melt interfacial free energy.
• Provided a theoretical basis for the empirically observed relationship.

Conclusions:

• The separation of entropy and energy loss processes is key to understanding crystal growth kinetics.
• The derived expression offers a quantitative link between interfacial energy and kinetic slowdown.
• Findings have implications for controlling nucleation and crystal growth processes.