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Molecular beam epitaxial growth of III-V semiconductor ... - KOBRA

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3.2 The Concept <strong>of</strong> Epitaxy<br />

In many case S c is less than unity and it may be a small fraction in cases when<br />

the adsorption energy <strong>of</strong> atoms on the substrate is low, or the substrate temperature<br />

is high. Assuming α is unity, all the arriving atoms are accommodated on<br />

the substrate surface and achieve thermodynamics equilibrium. This does not<br />

mean, that they will stay there permanently. They still have a nite probability<br />

related to the substrate temperature <strong>of</strong> acquiring sucient energy to overcome<br />

the attractive forces and leave the substrate [33]. If aggregation <strong>of</strong> adatoms, does<br />

not occur, all the adatoms will eventually be re-evaporated. Thus, the S c can be<br />

almost zero even when α is unity.<br />

There are two main types <strong>of</strong> adsorption that can occur during MBE. The rst<br />

is physical adsorption, which refers to the case where there is no electron transfer<br />

between adsorbate and adsorbent by forming a van der Waal's bond with a surface<br />

atom "physisorption". The second is is resulted by forming a covalent or ionic<br />

bond with a surface atom, which refers to the case when electron transfer, i.e.,<br />

chemical reaction, take places between adsorbate and adsorbent "chemisorption"<br />

[33]. The molecules stick to the surface via weak physisorption, which enables<br />

the migration. As the physisorbed state is only a precursor state, there is no way<br />

back from the chemisorbed state to the much weaker physisorbed state or even<br />

re-evaporation into the reactor vacuum. The rate at which adatoms adsorbed to<br />

the surface can be described by an exponential law (Eq. 3.3):<br />

R ads ∝ ν a<br />

exp −E ads<br />

K B T<br />

(3.3)<br />

Where ν a is the adsorption frequency, E ads describes the necessary energy to<br />

overcome the electrostatics potential, K B is Boltzmann constant and T is the<br />

substrate temperature [33]. However, most substrates have complicated reconstructions<br />

and the bonding is highly directional. Therefore, the probability <strong>of</strong><br />

adsorption to some sites is higher than other. Assuming defect-free surfaces, a<br />

number <strong>of</strong> theoretical and experimental works has been carried out to nd the<br />

most stable adsorption sites. Adsorbed atoms may diuse from one site to another<br />

via thermally activated hopping , which can be expressed by Eq. 3.4:<br />

D ∝ a 2 K s ∝ a 2 exp −E d<br />

K B T<br />

(3.4)<br />

25

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