A method for the separation of a mixture of n-pentane and neopentane using a nano-crystallite of zeolite Y is reported. This method judiciously combines two well-known, counter-intuitive phenomena, the levitation and the blowtorch effects. The result is that the two components are separated by being driven to the opposite ends of the zeolite column. The calculations are based on the non-equilibrium Monte Carlo method with moves from a region at one temperature to a region at another temperature. The necessary acceptance probability for such moves has been derived here on the basis of stationary solution of an inhomogeneous Fokker–Planck equation. Simulations have been carried out with a realistic and experimentally relevant Gaussian hot zone and also a square hot zone, both of which lead to very good separation. Simulations without the hot zones do not show any separation. The results are reported at a loading of 1 molecule per cage. The temperature of the hot zone is just ∼30 K higher than the ambient temperature. The separation factors of the order of 1017 are achieved using single crystals of zeolite, which are less than 1 μm long. The conditions for including the hot zone may be experimentally realizable in the future considering the rapid advances in nanoscale thermometry. The separation process is likely to be energetically more efficient by several orders of magnitude as compared to the existing methods of separation, making the method very green.
A mixture of n-pentane and 2,2-dimethyl butane can be separated to a very high purity using zeolite NaY. This can be achieved by a judicious combination of levitation and blow torch effects. The separation uses very little energy.
In some binary alloys, the solute exhibits high or fast diffusion with low activation energy. In order to understand this, diffusion of solute atoms through a lattice of body centered cubic solvent atoms has been investigated with molecular dynamics technique. Surprisingly, solutes exhibit two distinct diffusivity maxima. Solutes migrate through the lattice mainly by diffusion from one tetrahedral void to another (tt) and, less frequently, by diffusion from a tetrahedral to an octahedral void (to) or reverse jumps (ot). Solutes with maximum diffusivity show smooth decay of the velocity autocorrelation function without backscattering. The average force on the solutes of various diameters correlates well with the position and intensity of the diffusivity maxima exhibited by the solutes. This suggests that the explanation for the diffusivity maxima lies in the levitation effect, which suggests a lowered force on the solute at the diffusivity maxima. The activation energy computed for the solutes of different sizes confirms this interpretation as it is lower for the solutes at the diffusivity maxima. Calculations with blocking of octahedral voids show that the second diffusivity maximum has significant contributions from the to diffusion path. These findings obtained here explain the fast solute/impurity atom diffusivity and low activation energies seen in the literature in many of the alloys, such as Co in γ-U and β-Zr, Cu in Pr, or Au in Th.
Hydroxyapatite (HA, Ca10PO4(OH)2) is a widely explored material in the experimental domain of biomaterials science, because of its resemblance with natural bone minerals. Specifically, in the bioceramic community, HA doped with multivalent cations (e.g., Mg2+, Fe2+, Sr2+, etc.) has been extensively investigated in the last few decades. Experimental research largely established the critical role of dopant content on mechanical and biocompatibility properties. The plethora of experimental measurements of mechanical response on doped HA is based on compression or indentation testing of polycrystalline materials. Such measurements, and more importantly the computational predictions of mechanical properties of single crystalline (doped) HA are scarce. On that premise, the present study aims to build atomistic models of Fe2+-doped HA with varying Fe content (10, 20, 30, and 40 mol%) and to explore their uniaxial tensile response, by means of molecular dynamics (MD) simulation. In the equilibrated unit cell structures, Ca(1) sites were found to be energetically favourable for Fe2+ substitution. The local distribution of Fe2+ ions significantly affects the atomic partial charge distribution and chemical symmetry surrounding the functional groups, and such signatures are found in the MD analyzed IR spectra. The significant decrease in the intensity of the IR bands found in the Fe-doped HA together with band splitting, because of the symmetry changes in the crystal structure. Another important objective of this work is to computationally predict the mechanical response of doped HA in their single crystal format. An interesting observation is that the elastic anisotropy of undoped HA was not compromised with Fe-doping. Tensile strength (TS) is systematically reduced in doped HA with Fe2+ dopant content and a decrease in TS with temperature can be attributed to the increased thermal agitation of atoms at elevated temperatures. The physics of the tensile response was rationalized in terms of the strain dependent changes in covalent/ionic bond framework (Ca–P distance, P–O bond strain, O–P–O angular strain, O–H bond distance). Further, the dynamic changes in covalent bond network were energetically analyzed by calculating the changes in O–H and P–O bond vibrational energy. Summarizing, the current work establishes our foundational understanding of the atomistic phenomena involved in the structural stability and tensile response of Fe-doped HA single crystals.
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