Surface smoothness of a slowly frozen metal droplet

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SUMMARY

The discussion centers on the surface smoothness of small liquid metal droplets, specifically those ranging from 5 microns to 0.5 mm, when cooled slowly in a vacuum without oxygen. Key factors influencing surface roughness include density changes during solidification, cooling rates, droplet size, and the volume expansion coefficients of selected metals or alloys. The conversation highlights the importance of minimizing roughness for optical applications, particularly in phase change materials, and suggests that detailed numerical simulations may be necessary for accurate reflectivity estimates. The example of Tin-Lead solder illustrates the critical nature of surface smoothness in quality control during electronic assembly.

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  • Understanding of solid-liquid phase transitions in metals
  • Knowledge of crystallization processes and grain growth
  • Familiarity with optical properties of materials
  • Experience with numerical simulation techniques for material properties
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  • Research "solid-liquid interface dynamics in metal solidification"
  • Explore "numerical simulation methods for phase change materials"
  • Investigate "effects of cooling rates on metal droplet solidification"
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Materials scientists, optical engineers, and quality control professionals in electronics manufacturing will benefit from this discussion, particularly those focused on the properties of metal droplets and their applications in phase change materials.

timelessmidgen
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TL;DR
Liquid metal looks smooth and polished (highly reflective in visible light). If a liquid metal droplet is left to cool slowly and undisturbed and away from oxygen, will the solidified droplet remain highly polished? Or will the freezing process roughen up the surface a bit?
Would a small (of order 5 microns to 0.5 mm) liquid metal droplet, if cooled slowly away from external perturbations and not in the presence of oxygen, retain its highly smooth and polished surface as it froze? What phenomena would influence the surface roughness?

I assume that simple density changes from liquid to solid could cause roughness from differential shrinking/expanding, but I think these could be minimized by cooling more slowly/uniformly, reducing droplet size, and selecting metals with small or zero (in the case of some alloys) volume expansion coefficients. Is there an additional roughness introduced due to solid grain growth on the molecular scale?

Your thoughts and resources regarding this topic would be much appreciated. My general googling of the issue turns up many resources dealing with homogeneous/heterogeneous nucleation and growth of solid-liquid interfaces, but not generally anything about the external solid-vacuum interface.
 
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On "freezing", a liquid metal becomes a crystaline structure and will not have as smooth a surface as the liquid.
 
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Thanks! Is it possible to estimate how rough the surface becomes or how much less reflective it would be than a polished surface?

ETA: The underlying reason I'm curious about this is because I'm thinking about possible optical applications of phase change materials. Ultimately I'm curious about a simple metal droplet temperature-dependent reflector, and how much of a change in reflectivity might be reliably seen over many freeze-melt cycles. An accurate number would, I suspect, require detailed numerical simulation of a particular material. Nonetheless I would be curious to know if there is even an order-of-magnitude estimate (like, "the freshly solidified droplet will be about 20% less reflective than a polished surface" or "the freshly solidified droplet will be about 0.2% less reflective than a polished surface")
 
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Just as a macro example, common Tin-Lead solder used in electronic asembly, when left to cool undisturbed from molten has a quite smooth shiny surface.

If it is mechanically disturbed when near its solidification temperature it flash-freezes and has a visually obvious crystalline surface.

A non-shiny surface on a solder joint qualifies as an instant Quality Control failure, and rework.
 
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Tom.G said:
Just as a macro example, common Tin-Lead solder used in electronic asembly, when left to cool undisturbed from molten has a quite smooth shiny surface.

If it is mechanically disturbed when near its solidification temperature it flash-freezes and has a visually obvious crystalline surface.

A non-shiny surface on a solder joint qualifies as an instant Quality Control failure, and rework.
Ok interesting, thanks! An example that the change in reflectivity might be very slight.
 
Tom.G said:
A non-shiny surface on a solder joint qualifies as an instant Quality Control failure, and rework.
HA ! 50 years ago I would have though of that right away. Thanks for the reminder.
 

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