arXiv subjects

S. Chacko

Publications and source records attributed to S. Chacko.

6 recordsLinked to original sources

arXiv2005

Size--sensitive melting characteristics of gallium clusters: Comparison of Experiment and Theory for Ga$_{17}{}^{+}$ and Ga$_{20}{}^{+}$

Experiments and simulations have been performed to examine the finite-temperature behavior of Ga$_{17}{}^{+}$ and Ga$_{20}{}^{+}$ clusters. Specific heats and average collision cross sections have been measured as a function of temperature, and the results compared to simulations performed using first principles Density--Functional Molecular--Dynamics. The experimental results show that while Ga$_{17}{}^{+}$ apparently undergoes a solid--liquid transition without a significant peak in the specific--heat, Ga$_{20}{}^{+}$ melts with a relatively sharp peak. Our analysis of the computational results indicate a strong correlation between the ground--state geometry and the finite--temperature behavior of the cluster. If the ground--state geometry is symmetric and "ordered" the cluster is found to have a distinct peak in the specific--heat. However, if the ground--state geometry is amorphous or "disordered" the cluster melts without a peak in the specific--heat.

cond-mat.stat-mech↗

arXiv2005

First principles investigation of finite-temperature behavior in small sodium clusters

A systematic and detailed investigation of the finite-temperature behavior of small sodium clusters, Na_n, in the size range of n= 8 to 50 are carried out. The simulations are performed using density-functional molecular-dynamics with ultrasoft pseudopotentials. A number of thermodynamic indicators such as specific heat, caloric curve, root-mean-square bond length fluctuation, deviation energy, etc. are calculated for each of the clusters. Size dependence of these indicators reveals several interesting features. The smallest clusters with n= 8 and 10, do not show any signature of melting transition. With the increase in size, broad peak in the specific heat is developed, which alternately for larger clusters evolves into a sharper one, indicating a solidlike to liquidlike transition. The melting temperatures show irregular pattern similar to experimentally observed one for larger clusters [ M. Schmidt et al., Nature (London) 393, 238 (1998) ]. The present calculations also reveal a remarkable size-sensitive effect in the size range of n= 40 to 55. While Na_40 and Na_55 show well developed peaks in the specific heat curve, Na_50 cluster exhibits a rather broad peak, indicating a poorly-defined melting transition. Such a feature has been experimentally observed for gallium and aluminum clusters [ G. A. Breaux et al., J. Am. Chem. Soc. 126, 8628 (2004); G. A.Breaux et al., Phys. Rev. Lett. 94, 173401 (2005) ].

cond-mat.stat-mech↗

arXiv2005

On the observed irregular melting temperatures of free sodium clusters

Density--functional simulations have been performed on Na$_{55}$, Na$_{92}$ and Na$_{142}$ clusters in order to understand the experimentally observed melting properties [M. Schmidt \textit{et al.}, Nature (London) \textbf{393}, 238 (1998)]. The calculated melting temperatures are in excellent agreement with the experimental ones. The calculations reveal a rather subtle interplay between geometric and electronic shell effects, and bring out the fact that the quantum mechanical description of the metallic bonding is crucial for understanding quantitatively the variation in melting temperatures observed experimentally.

physics.atm-clus↗

arXiv2004

Why do gallium clusters have a higher melting point than the bulk?

Density functional molecular dynamical simulations have been performed on Ga$_{17}$ and Ga$_{13}$ clusters to understand the recently observed higher-than-bulk melting temperatures in small gallium clusters [Breaux {\em et al.}, Phys. Rev. Lett. {\bf 91}, 215508 (2003)]. The specific-heat curve, calculated with the multiple-histogram technique, shows the melting temperature to be well above the bulk melting point of 303 K, viz. around 650 K and 1400 K for Ga$_{17}$ and Ga$_{13}$, respectively. The higher-than-bulk melting temperatures are attributed mainly to the covalent bonding in these clusters, in contrast with the covalent-metallic bonding in the bulk.

physics.atm-clus↗

arXiv2003

Evolution in the structural and bonding properties of Aluminum-Lithium clusters

We present a systematic study of the geometries, energetics, electronic structure and bonding in various Al-Li clusters viz. AlnLin ($n$=1-11), Al$_2^-$, Al$_2^{2-}$, Al$_2$Li, Al$_2$Li$^-$, and Al6Li8 using Born-Oppenheimer molecular dynamics within the framework of density functional theory. The growth pattern in these clusters is divided in two broad categories: the first one consisting of a bent rhombus of Al2Li2 ($n$=2-4) and the second one consisting of a pentagonal ring ($n$=7-9,11). A substantial charge transfer is seen in nearly all clusters with the exception of Al2Li2 where the charge transfer is not significant. In clusters with more than six Al atoms, the eigenvalue spectrum is divided into two groups: a lower group of jellium-like states and a higher group of localized bonds formed through the interaction of the $p$ electrons on each of the Al atoms. Finally, we have discussed the tetravalent behavior of Al atoms arising due to a charge transfer from the Li atoms to the Al atoms.

physics.atm-clus↗

arXiv2003

Ab initio density functional investigation of B_24 cluster: Rings, Tubes, Planes, and Cages

We investigate the equilibrium geometries and the systematics of bonding in various isomers of a 24-atom boron cluster using Born-Oppenheimer molecular dynamics within the framework of density functional theory. The isomers studied are the rings, the convex and the quasiplanar structures, the tubes and, the closed structures. A staggered double-ring is found to be the most stable structure amongst the isomers studied. Our calculations reveal that a 24-atom boron cluster does form closed 3-d structures. All isomers show staggered arrangement of nearest neighbor atoms. Such a staggering facilitates $sp^2$ hybridization in boron cluster. A polarization of bonds between the peripheral atoms in the ring and the planar isomers is also seen. Finally, we discuss the fusion of two boron icosahedra. We find that the fusion occurs when the distance between the two icosahedra is less than a critical distance of about 6.5a.u.

physics.atm-clus↗