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Whiskers
March 22, 2013
For a brief span in my career, I did
research in the
growth of
technologically useful
crystals. Crystals grow in different shapes, with
facets representative of their underlying
atomic structure. Sometimes, the growth rate along certain
crystal directions can be quite a bit larger than others, so your crystal becomes long and extended. Adding
impurities to certain crystallizing
chemicals can change the resulting crystal product from an expected
geometrical object to a long
whisker.
(Left, presumed self-portrait of Leonardo da Vinci at age 60 (circa 1512), red chalk on paper, via Wikimedia Commons.)
There was an impurity to blame, possibly appearing when raw material was mined from a different part of the mineral deposit. A recommended addition of a small amount of another chemical stopped the problem. That's another example of why companies should keep at least a few
scientists employed even when
industrial processes have been working without change for many years and their scientists
seem redundant.
In a
previous article (Tin Pest and Purple Plague, April 24, 2012), I wrote how some
solder alloy compositions designed to replace
leaded solder were prone to formation of whiskers. The problem started with the
European Restriction of Hazardous Substances Directive (RoHS), and directives in other countries, for removal of
hazardous chemicals from products, including
lead in
electronic devices.
The
eutectic composition of the
lead-
tin binary alloy system has been used as an electronic solder for more than a century. The reasons for this are its low
melting point (183 °C), low cost, and good
electrical conductivity. One lead-free option is to use pure tin (melting point, 232 °C), but tin will form
tin whiskers during repeated
thermal cycling, the presence of which can lead to electrical
short circuits if they dislodge from the solder ball and are deposited elsewhere in the circuitry.
Lead-Tin (Pb-Sn) Phase Diagram
The eutectic composition, at 61.9 wt-% tin, melts at 183 °C, quite a bit lower than the melting point of tin (232 °C).
(Author's rendition using Inkscape.)
Lead-free solders use alloying elements to both lower the melting point of tin and prevent tin whiskers. Tin with an addition of 3.5 wt-%
silver has a melting point of 221 °C. A more complex alloy, Sn
95.55Ag
3.5Cu0.85Mn0.10 will melt at 215 ° C.
Whisker growth is not unique to tin, and it is known to occur also in silver and
gold. The mechanism for whisker formation is not known, although there is evidence that it's associated with a
strain gradient.[1] Such an
hypothesis is supported by the fact that such whiskers grow
perpendicular to the metal surface. Whisker growth is not associated with
electromigration, in which material is transported by the
momentum transfer of
electrons in
conductors subjected to high
current density.
The
surface roughness of metal layers produced by
electroplating often increases with thickness. Surface
defects will produce a locally-enhanced
electric field strength which increases the growth rate at the defect. As recent research by
materials scientists at
Purdue University has shown, a similar mechanism may be responsible for dendrite formation in
rechargeable lithium-ion batteries.[2-3]
When a lithium-ion
cell is recharged,
lithium ions are transported from the
cathode, through a
gel electrolyte, to the
anode. The deposited lithium tends to form
dendrites for the rapid charging cycles desired in
consumer devices. These dendrites often grow large enough to bridge the cathode-anode space, causing a short-circuit which results in battery failure, and sometimes a
fire.[3]
The Purdue University scientists used various resources in their investigation, including
videos of dendrite growth made by
Stephen Harris, a visiting scientist at
Lawrence Berkeley National Laboratory.[3]
Scanning electron micrographs showed that dendrite growth was in spurts, with material added as rings at each charging cycle (see photomicrograph).
Scanning electron micrograph of a lithium dendrite cross-section showing a ring structure.
Each ring is associated with a discharge-charge cycle.
(Purdue University Image by Quinn Horn.)
A critical
radius was found, such that dendrites below that radius will shrink, and dendrites above that radius will grow.[2-3] Dendrite growth only becomes
energetically favored when an
overpotential barrier is overcome.[2] It appears, also, that there is a
mass flow from the smaller dendrites to the larger ones.[3]
The Purdue scientists identified five regimes in the dendrite growth process; namely, a
nucleation suppression regime, a long
incubation time regime, a short incubation time regime, an early growth regime and a late growth regime.[2] In the early growth regime, some dendrite nuclei are energetically favored, and these reach an
asymptotic growth velocity. In the late growth regime, amplification of surface irregularity is much like the electroplating roughening mentioned above.[2]
One technique that might inhibit dendrite growth is to use a charging method based on rapid
pulses, rather than a
constant current.[3] This research was funded by
Toyota Motor Engineering & Manufacturing North America Inc.[3]
References:
- Yong Sun, Elizabeth N. Hoffman, Poh-Sang Lam and Xiaodong Li, "Evaluation of local strain evolution from metallic whisker formation," Scripta Materialia, vol. 65, no. 5 (September, 2011), pp. 388-391.
- David R. Elyz and R. Edwin Garcıa, "Heterogeneous Nucleation and Growth of Lithium Electrodeposits on Negative Electrodes," J. Electrochem. Soc., vol. 160, no. 4 (February 12, 2013), pp. A662-A668.
- Analytical theory may bring improvements to lithium-ion batteries dendrites, Purdue University Press Release, March 5, 2013.
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