Aca - Departamento de Física - Universidad Técnica Federico Santa ...

Aca - Departamento de Física - Universidad Técnica Federico Santa ... Aca - Departamento de Física - Universidad Técnica Federico Santa ...

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V Encuentro Sud Americano de Colisiones Inelásticas en la Materia 3.75×10 11 cm -2 , the value from the TEM planview images. images can be also observed that the PF shape is in better agreement. Figure 2. Experimental and simulated 2D MEIS spectra. To investigate the geometrical shape of the NPs, the system was modelled in two different ways: i) as a hemisphere in the SiO 2 side on a pyramidal frustum in the Si matrix side (further referred as PF) and ii) as a sphere, half in the SiO 2 and half in the Si matrix. The parameters of the PF shape are described in Fig. 3 and the variable parameter of the spherical shape is the radius. To determinate the size and number density of NPs, it were performed simulations with several number densities for booth geometrical models, and their the radius was adjusted in order to keep the same Pb per area, namely (Nt) Pb,MEIS = 2.26×10 15 atoms∙cm -2 , value obtained by the MEIS measurement, which is close to the one obtained by auxiliary RBS measurements. The number density obtained for the PF shape is (4.2±1.6)×10 11 cm -2 , and, (5.3±1.7)×10 11 cm -2 considering the spherical shape. These values of densities correspond to the values of radii of (3.7±0.5)nm for PF shape and (3.2±0.4)nm for spherical shape. The result for PF shape agrees better to the value obtained by TEM, namely radius of (4±1) nm and number density of 3.7×10 11 cm -2 . Through the HRTEM Figure 2. The PF geometrical shape model is described by three parameters: the radius, the angle θ and the depth h. The NPs anisotropy observed in the TEM micrographs was taken into account, and is related to (110) and (010) Si plane direction. Above, (a) a lateral perspective at (110) and (c) (010) direction of Si substrate, (b) seen from above and (d) from below. Here we have shown the capability of MEIS analysis to characterize buried NPs, which opens new perspectives for nanostructure analysis in situ that can be of great interest. References [1] M. A. Sortica, P. L. Grande, G. Machado, L. Miotti, Journal of Applied Physics 106, 114320 (2009). [2] F. Kremer, J. M. J. Lopes, F. C. Zawislak, and P. F. P. Fichtner, Appl. Phys. Lett. 91, 083102 (2007). 56 Valparaíso, Chile

V Encuentro Sud Americano de Colisiones Inelásticas en la Materia Supression of binary and recoil peaks in ionization of H 2 by electron impact Fojón O A, Stia C R and Rivarola R D Instituto de Física Rosario (CONICET-UNR), Pellegrini 250 (2000) Rosario, Argentina email address corresponding author: fojon@ifir-conicet.gov.ar We study theoretically the single ionization of H 2 molecules by fast electron impact. Our aim is to show that interferences coming from the coherent emission from the molecular centers may produce unexpected consequences in the physical features of the observables of the reaction. Interference phenomena have been of crucial importance in the foundation of quantum mechanics. Analogies with the Young two-slit experiment played a fundamental role in the description and comprehension of the dual nature of quantum objects such as electrons. A fascinating alternative way of observing interference patterns is provided by the electron spectra resulting from the ionization of molecular diatomic targets. In the sixties, it was suggested that the coherent emission from these molecules may give rise to specific oscillations in the differential cross sections of the ejected electrons, the two molecular centers acting as the analogues of the two slits in the Young experiment [1]. However, this kind of oscillations was measured for the very first time with fast krypton ions impacting on H 2 [2]. In previous works, we have shown that these interference patterns may be observed also for electron impact [3-7]. We focus here on electron emission at high impact energies from fixed-in-space H 2 molecules impacted by fast electrons. We study transitions at fixed equilibrium internuclear distance from the ground state of H 2 to the ground (gerade) and first excited (ungerade) state of the H + 2 residual target. We consider coplanar geometries in which the incident, scattered and ejected momenta lie all in the same plane. In addition, we analyze asymmetric kinematics situations in which one slow and one fast electron are detected in the final channel. We employ a first order model obtained in the framework of a two-effective center approximation (TEC). The idea exploited in the TEC model is that although electrons in the ground state of H 2 are shared by both nuclei, the electronic density is peaked at the nuclei positions. Then, it is argued that ejection occurs in the neighbourhoods of one nucleus while the nuclear charge of the other one is screened completely by the non ionized electron. Consequently, a unique final effective continuum function satisfying the correct asymptotic long range conditions is used to represent the ejected electron in the final channel of the reaction. This model gives reasonably good agreement with experiments [8] constituting thus a good approximation to the final state of the reaction in which three charged bodies interact through Coulomb potentials. In order to take into account the complexities of this interaction in an approximate way, one can take a more elaborated final function such as the one used in Ref. [9]. This function describes the final interactions through a product of three Coulomb functions associated to the three twobody pairs present in the final channel. The approximation obtained using this function for molecular targets gives an excellent agreement with experiments [10]. We show here for the first time that under definite conditions, destructive interferences coming from the coherent emission from both molecular centers provoke the supression of the binary peak in the multiple differential cross sections corresponding to transitions leading to final ground state of H 2 + . This is a surprising result as is well known that ejection is classically more likely to be produced in the binary region. Moreover, this finding is shocking as so far and up to our knowledge the presence of the binary peak was assumed for every ionization reaction with either atomic or molecular targets [11]. 57 Valparaíso, Chile

V Encuentro Sud Americano <strong>de</strong> Colisiones Inelásticas en la Materia<br />

3.75×10 11 cm -2 , the value from the TEM planview<br />

images.<br />

images can be also observed that the PF<br />

shape is in better agreement.<br />

Figure 2. Experimental and simulated 2D MEIS<br />

spectra.<br />

To investigate the geometrical shape of<br />

the NPs, the system was mo<strong>de</strong>lled in two different<br />

ways: i) as a hemisphere in the SiO 2<br />

si<strong>de</strong> on a pyramidal frustum in the Si matrix<br />

si<strong>de</strong> (further referred as PF) and ii) as a<br />

sphere, half in the SiO 2 and half in the Si matrix.<br />

The parameters of the PF shape are <strong>de</strong>scribed<br />

in Fig. 3 and the variable parameter<br />

of the spherical shape is the radius.<br />

To <strong>de</strong>terminate the size and number<br />

<strong>de</strong>nsity of NPs, it were performed simulations<br />

with several number <strong>de</strong>nsities for booth<br />

geometrical mo<strong>de</strong>ls, and their the radius was<br />

adjusted in or<strong>de</strong>r to keep the same Pb per<br />

area, namely (Nt) Pb,MEIS = 2.26×10 15 atoms∙cm<br />

-2 , value obtained by the MEIS measurement,<br />

which is close to the one obtained<br />

by auxiliary RBS measurements. The number<br />

<strong>de</strong>nsity obtained for the PF shape is<br />

(4.2±1.6)×10 11 cm -2 , and, (5.3±1.7)×10 11 cm -2<br />

consi<strong>de</strong>ring the spherical shape. These values<br />

of <strong>de</strong>nsities correspond to the values of radii<br />

of (3.7±0.5)nm for PF shape and (3.2±0.4)nm<br />

for spherical shape. The result for PF shape<br />

agrees better to the value obtained by TEM,<br />

namely radius of (4±1) nm and number <strong>de</strong>nsity<br />

of 3.7×10 11 cm -2 . Through the HRTEM<br />

Figure 2. The PF geometrical shape mo<strong>de</strong>l is <strong>de</strong>scribed<br />

by three parameters: the radius, the angle θ<br />

and the <strong>de</strong>pth h. The NPs anisotropy observed in the<br />

TEM micrographs was taken into account, and is<br />

related to (110) and (010) Si plane direction. Above,<br />

(a) a lateral perspective at (110) and (c) (010) direction<br />

of Si substrate, (b) seen from above and (d) from<br />

below.<br />

Here we have shown the capability of<br />

MEIS analysis to characterize buried NPs,<br />

which opens new perspectives for nanostructure<br />

analysis in situ that can be of great interest.<br />

References<br />

[1] M. A. Sortica, P. L. Gran<strong>de</strong>, G. Machado, L.<br />

Miotti, Journal of Applied Physics 106, 114320<br />

(2009).<br />

[2] F. Kremer, J. M. J. Lopes, F. C. Zawislak,<br />

and P. F. P. Fichtner, Appl. Phys. Lett. 91,<br />

083102 (2007).<br />

56 Valparaíso, Chile

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