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Activity Report 2010 - CNRS

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NANO-ORDERING &<br />

DEEP UNDERCOOLING<br />

DRIVE THE SILICON<br />

NANOWIRE GROWTH<br />

Deep undercooling gives rise to a peculiar<br />

state of matter in which a liquid does not<br />

solidify even far below the normal<br />

freezing point. A good example of this<br />

phenomenon is found every day in<br />

meteorology: clouds in high altitude are<br />

an accumulation of undercooled droplets<br />

of water below their freezing points due<br />

to the high purity of the atmosphere at<br />

these altitudes.<br />

temperatures. Such a property is<br />

employed to manufacture high-purity Si<br />

nanowires through a vapour-liquid-solid<br />

growth mechanism. Very recently, the<br />

origin of the deep eutectic point was<br />

shown to be related to the presence of a<br />

well-defined chemical short-range order<br />

that enhances AuSi interactions in the<br />

liquid phase, in contrast with the solid<br />

mixture and with the occurrence of an<br />

important icosahedral ordering in the<br />

undercooled region [3].<br />

HIGHLIGHT : THEORY AND NANOSIMULATION<br />

CONTACTS<br />

alain.pasturel@grenoble.cnrs.fr<br />

noel.jakse@grenoble-inp.fr<br />

FURTHER READING<br />

[1] N. Jakse et al., Physical Review Letters,<br />

91, p205702, (2003); 93, p207801, (2004)<br />

[2] T.U. Schulli et al., Nature 464, p1174,<br />

(<strong>2010</strong>)<br />

[3] A. Pasturel et al., Phys. Rev. B 81,<br />

p140202R (<strong>2010</strong>)<br />

Undercooling was discovered in 1724 by<br />

Fahrenheit while observing that water<br />

droplets stay liquid below 0°C. However<br />

numerous questions about the underlying<br />

mechanisms remain nowadays still open.<br />

In the 1950’s, theoricians postulated the<br />

structure at the atomic level to be<br />

incompatible with crystallization. This led<br />

to the speculation that the atoms in the<br />

liquid could locally arrange in icosahedra<br />

characterized by a five-fold symmetry<br />

which is incompatible with the long-range<br />

periodicity of the crystalline solid.<br />

Fig. 1: Icosahedron<br />

and pentagonal<br />

rings<br />

Fifty years later, ab initio molecular<br />

dynamics simulations revealed for the<br />

first time five-fold coordinated clusters<br />

(pentagons) in pure liquid metals as well<br />

as liquid metallic alloys, some of them<br />

being known to form quasicrystalline<br />

phases or bulk metallic glasses upon<br />

rapid solidification [1].<br />

Using ab initio molecular dynamics<br />

simulations, a new remarkable<br />

undercooling phenomenon has been<br />

explained [2], namely an undercooling as<br />

deep as 350°C for Gold-Silicon (Au 81 Si 19 )<br />

eutectic alloy in contact with a specially<br />

decorated silicon (111) surface where the<br />

outermost layer of the solid featured<br />

pentagonal atomic arrangements. This<br />

alloy is characterized by an unusually<br />

deep eutectic temperature, 359°C, that is<br />

hundreds of degrees below the melting<br />

points of Au (1063°C) and Si (1412°C)<br />

and guarantees a very high mobility of<br />

the Si atoms at relatively low<br />

Fig. 2: Pentagonal arrangements in the goldsilicon<br />

eutectic liquid are stabilized at the<br />

interface. The close-packing of 7 atoms leads<br />

to build the five-fold ring.<br />

In order to understand the effect of the<br />

silicon surface on the local structure of<br />

the eutectic alloy and its undercooling<br />

properties, we carried out calculations of<br />

solid / eutectic liquid interfaces as a<br />

function of different silicon surfaces. The<br />

Silicon (111) surface forces the presence<br />

of local pentagonal arrangements in the<br />

liquid phase at the interface (see Figure<br />

2) The main consequence is that the<br />

alloy’s atoms near this interface display a<br />

local order that increases the stability of<br />

the supercooled phase of the liquid<br />

instead of triggering heterogeneous<br />

nucleation. It is also observed that the<br />

pentagonal decorated silicon (111) [2]<br />

surface influences the short-range order<br />

and the metastability of the liquid<br />

eutectic alloy, favouring the increase of<br />

pentagons in the liquid phase.<br />

This result has wide implications, not only<br />

for fundamental studies of freezing, but<br />

also for practical control of the phase<br />

transition. For instance, it should lead to<br />

important technological applications in<br />

the field of nanowire growth for which the<br />

eutectic alloy act as a catalyst. It is also<br />

speculated that the containerless<br />

techniques required today to obtain<br />

undercooling could be in the future be<br />

replaced by icosahedrally coated solid<br />

containers.<br />

13

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