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Phase equilibrium and process transport

Crystal Nucleation and Growth: Particle Birth and Enlargement Are Different Observations

Distinguish newly born crystals from enlargement of crystals already being tracked.

Library dates organize the collection. Actual publication and revision dates are shown separately.

Distinguish newly born crystals from enlargement of crystals already being tracked.

Define the Phase or Process Boundary

METTLER TOLEDO's nucleation and growth definitions distinguishes birth of crystal nuclei from deposition that increases existing crystal size. A change in one size statistic need not identify which process changed the population.

Review a Hypothetical Comparison

Consider an invented closed observation region where 100 identified crystals each grow from 20 to 24 µm in a fixed-shape model. Count remains 100, while each particle volume rises by (24/20)³=1.728. This is consistent with growth of that tracked population. A different record showing 40 additional persistent small crystal objects requires a population-birth or other count-changing explanation. It cannot be interpreted from the average size alone, and breakage or objects entering the observation region must also be considered.

Keep the Evidence with the Decision

Keep object identity, population counts and size changes as separate evidence. State the observation boundary and whether objects can enter or leave it. Compare dissolved-solute change with the assumed growth inventory if the material balance matters. Avoid using a decreasing mean size as automatic proof of nucleation.

The counts and dimensions are hypothetical. They do not establish real nucleation rates, universal particle shapes or an instrument capable of tracking every nucleus.

Does a population change indicate new crystals, enlargement of existing crystals or both?

This blank worksheet is for your own project. It contains no H M machine trial result.

Does a population change indicate new crystals, enlargement of existing crystals or both?
Review fieldReference or resultResponsible person
Observation-region boundaryTo completeTo complete
Existing particle identity and dimensionsTo completeTo complete
Persistent new-object countTo completeTo complete
Alternative count changes and solute balanceTo completeTo complete

Customer Questions

Can crystals grow without increasing count?

Yes. Existing particles can enlarge while their number stays the same.

Does smaller mean size prove nucleation?

No. Count, observation boundary and other mechanisms require review.

Is the volume ratio shape-independent?

Here it assumes all dimensions scale with a fixed shape.

Primary References

These references support the technical principles discussed in this guide. The worked examples and review questions are educational.

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