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Overview

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Materials and Nanotechnology modeling involves building models of physical and chemical processes, often driven by experimental data, generalizing the solutions of those models to make predictions and explain the experimental result. Starting from both the empirical and first principle simulation, we mainly work on applying these methods to cutting edge problems in materials science and nanotechnology to provide both qualitative and quantitative insights into many phenomena that are too complex to be dealt with by analytical methods or to determine material properties if experiment is not practical.

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Hydrogen Storage in Nanotubes

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Hydrogen has been touted as the ultimate clean fuel since its combustion yields only water. However, there are still technological challenges on how to store hydrogen in a way that is safe and has a high energy density.

Carbon nanotube have been proposed as one possible storage medium. However, experiment on hydrogen storage in Nanotube could not be later reproduced by independent group. Theoretically, there is deficiency for using current DFT calculation because it neglects the overlap of electron at long range. It is not possible to give a good description on the interaction of H2 with nanotube by using DFT calculation only. We incorporated a van der Waals term into DFT to study hydrogen interaction with graphite, nanotube and its bundle. Our preliminary results show VDW correction is very important when using DFT calculation, especially GGA.

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Interaction energy of H2 with a single-walled carbon nanotube with out VdW corrections.Interaction Energy of H2 with a single-walled carbon nanotube with VdW correction.
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Layered Double-Hydroxide Nanoparticles-Encapsulated DNA

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I.   Background

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Layered double hydroxides (LDH) are anionic clay materials. Their importance in areas such as catalysis, medicine and oil-field technology has greatly increased in the last two decades. The general formula of the most important group of LDH is described as followed Mg1-xAlx(OH)2(NO3)x∙nH2O. A variety of organic and inorganic structures can be intercalated into LDH structures, which makes them extremely promising for drug delivery and gene therapy applications. The interactions between these organic (DNA) or inorganic (NO3-) molecules and the nanoparticle layers are still poorly understood.
Computational techniques have been extremely valuable tools in understanding the structures of bio-organic and polymeric systems. The crystal structure of LDH nanoparticles has not been characterized yet, the closest solved structure for this family of LDH being the original crystalline brucite, MgOH2, which consists of M2+ metallic cations coordinated octahedrally by hydroxyl groups. The charge density of the hydroxide layers is directly linked to the M2+/M3+ ratio of the cationic metallic matrix. Charge neutrality is maintained by intercalation of interlayer anions which are very often labile. DNA is typically negatively charged, which makes it a possible intercalating species. A model structure of the LDH containing NO3- counterions has been made, starting with the parent brucite cell parameters. A combination of different forcefields, CLAYFF and Amber, is being used to study the interlayer complex system via real time molecular dynamics (MD), which allows the starting structure to relax into the equilibrium structure.
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Figure 1. Model of Brucite crystal cell and natural LDH crystals

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II.   Proposed Mechanism

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It was found that upon hybridization between inorganic layered double hydroxides and biomolecules such as DNA, the transfer efficiency of nanohybrid complexes through cell membranes is enhanced.  The charge interactions after nanohybridization would facilitate the penetration of nanohybrids into cells.  The proposed mechanism is generally an endocytosis phenomenon.  The charge neutralization between the nanoparticle layer and the DNA reduces the repulsion between the negatively charged cell surface and the positively charged DNA structure.

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Figure 2. General mechanism illustrating the nanohybridization process and the endocytosis

phenomenon allowing penetration of DNA structures into the cell and then the nucleus

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Figure 3. Animated representation illustrating the pinocytosis phenomenon

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III.   Methodology and Program

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We are currently importing forcefield parameters for this hybrid system.  We will use the Amber force field for the DNA structure and the modified Dreiding forcefield for the nanoparticle system.  The simulations will be run inside the simulation package DL_POLY.

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III.   Current Research Status

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The first trend, we can observe between the two model structures containing respectively Cl- and NO3- counterions is that there is an increase of cell parameters, a and b. The original brucite structure being the closest known crystal solved structure for this family of LDH, we started with the brucite and we inserted the counterions between the layers. The second important observation concerning NO3- is that it seems to prefer a planar conformation than a ˇ§tiltedˇ¨ conformation like it was suggested in Xu et al. publication. NO3- undergoes successive rotation without really being ˇ§tiltedˇ¨. Finally in both model structures, the interlayer distance is very stable, the atoms are reorganized in the layer plans for the Mg2+ and Al3+ metals. Al3+ is more ˇ§mobileˇ¨ than Mg2+ and is easily displaced out of the layer plan.
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These results are early results obtained in a short time length with a small number of atoms. The main goal was to generate suitable models for larger systems running at picoseconds or nanosecond time scale. It will be more accurate to compare to experimental results. Nevertheless, it was extremely useful to observe general trends that can be confirmed later on. We expect to be able to reproduce our results for larger system very soon. It will be very important monitor the solvatation level of LDH-bio-organic nanohybrids. Many experimental results were obtained in a solid stated using crystallographic analysis.

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Hydrogen Storage in Novel Magnesium Alloys

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Molecular hydrogen storage in Magnesium alloy is another possible way for ˇ§on-boardˇ¨ vehicular storage of hydrogen. The hydrogen storage capacity of pure MgH2 is 7.6 wt%, which is greater than the automobile industry standard (5 wt%). But there are still some problems for its application. One is the rate at which hydrogen absorbs and desorbs is too low and the other is that hydrogen atoms bind too strongly with the Mg atoms, a higher temperature and enough pressure (over 1 atm) are needed to release the hydrogen. We mainly work on the calculation of H2 dissociation barrier and study the catalysis of other atom such as C, Ti and Fe by first principle method. This project is running in parallel with an experimental program on the synthesis and treatment of carbon nanotubes at the ARC Centre for Functional Nanomaterials.

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Energy along the dissociation coordinate for H2 dissociation from an Mg(001) surface.         

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Functionalized Nanotubes

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The noncovalent functionalization of single-walled carbon nanotubes has possible application toward Hydrogen energy and chemical sensing technology. Current Density Functional Theory(DFT) calculation gives a poor description on the physisorption energy and equilibrium distance. We will combine the DFT calculation with a long range van der walls(VDW) interaction to study the physisorption of H2, NO2 and NH3 on SWCNT. The covalent functionalization of SWCNT is believed to open the road towards real nanotechnology applications and bioapplication. We will first perform ab initio calculation to study the structural, electronic properties and stability of the functionalized group on SWCNT. And then we will simulate the reaction path way using a newly developed reactive Car-Parrinello Molecular Dynamics method.

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Device Modeling for the Kane Quantum Computer Architecture: Solution of the donor electorn Schrödinger Equation

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In the Kane silicon-based electron-mediated nuclear spin quantum computer architecture, phosphorus is doped at precise positions in a silicon lattice, and the P donor nuclear spins act as qubits. Logical operations on the nuclear spins are performed using externally applied magnetic and electric fields (Figure 1).

             Figure 1: Kane solid-state nuclear spin quantum computer

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There are two important interactions: the hyperfine and exchange interactions, crucial for logical qubit operations. Single qubit operations are performed by applying radio frequency magnetic fields resonant with targeted nuclear spin transition frequencies, tuned by the gate-controlled hyperfine interaction. two qubit operations are mediated through the exchange interaction between adjacent donor electrons. It is important to examine how these two interactions very as functions of experimental parameters. In our work we provide such an investigation. First, we examine the effects of varying several experimental parameters: gate voltage, magnetic field strength, inter donor separation, donor depth below the silicon oxide interface and back gate depth, to explore how these variables affect the donor electron density. Second, we calculate the hyperfine interaction and the exchange coupling as a function of these parameters.

These calculations were performed using carious levels of effective mass theory. In the first method, we employed a multi-valley effective mass approach where we incorporated the full Si crystal Bloch structure in calculating the donor electron energy in the bulk silicon. Including the detailed Bloch structure is very computationally intensive, thus when we considered the effect of the externally applied fields in the subsequent computations, we employed an approach where we focused on the smooth donor-modulated envelope function to determine the response of the donor electron to the applied electric and magnetic fields and qubit position in the lattice. The electric field potential was obtained using Technology computer Aided Design software, and the interfaces were modelled as a barrier using a step function.

One of the critical results of this theoretical study was finding that there exist two regimes for the behavior of the donor electron in response to the applied gate voltage, dependent on donor distance from the gate. When the qubit is in close proximity to the gate the electron transfer to the gate is gradual. However if the qubit is located far enough from the gate, we found that the donor electron is ionised toward the gate for gate voltages above a certain threshold. We demonstrate the ionisation of the donor electron in figure 2 and 3, where we plotted the contour plots for the electron density in the yz-plane for a J-gate voltage of 1.0 and 2.0V for R=21.72nm respectively. This clearly demonstrates that at a voltage of 2.0V the applied field has destroyed the periodic nature of the electron density, and the donor electron density has perturbed significantly (or inoised) towards the applied voltage.

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Figure 2: Contour plot of the ground state electron density in the yz-plane for a J-gate voltage of 1.0V for R=21.72nm. Here P is located at the origin.

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Figure 3: Contour plot of the ground state electron density in the yz-plane for a J-gate voltage of 2.0V for R=21.72nm. Here P is located at the origin.

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Another significant development we have made is in our calculations of the exchange coupling between two adjacent donor electrons. We extended our original Heitler-London basis to describe the two-electron system, and adopted a molecular orbital method where we included a a basis of 78 singlet and 66 triplet two-electron states. In addition to calculating a more accurate exchange coupling, we also evaluated the energy spectrum of the two electron double donor system. Thus far, we have succeeded in describing the Si:P two-electron system in zero strain, and with a uniaxial strain applied. Further work is concentrating on extending these results to include the effects of both an external electric and magnetic field on the two donor system.

We display the results for our three quantum chemical models for the two-electron states: the two Heitler-Landon states, the four Hund-Mulliken states and our extended molecular orbital basis in figures4 and 5, obtained with zero strain and with strain respectively. We show a comparison of the exchange coupling obtained using our three methods in (a), and the energy level spectrum calculated using our full molecular orbital method in (b), for varying inter donor separations for Q1 andQ2 located at lattice sites.

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Figure 4: We compare the exchange coupling at lattice sites along the [010] or y direction, calculated using our three quantum chemical models in (a): using the Heitler-Landon states, Hund-Mulliken states and our extended molecular orbital basis, for zero strain. in (b) we plot the singlet and triple two-electron energy levels using our extended molecular orbital basis.

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Figure 5; comparison of the exchange coupling for a strain parameter of x=-20 in (a) for qubits placed along the [010] or y direction. In (b) we lot the singlet and triplet two-electron energy levels using our extended molecular orbital basis.

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We aim to provide relevant information for the experimental design of these devices and highlight the significance of environmental factors other than gate potential that affect the donor electron.

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