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Figure 2: Graphene bands and density of
states.
Figure 3: Joined Bi-layer Graphene bands,
and density of states.
Potential Energy Per Atom = 0.878 eV
Defect Formation Energy = 0.001 eV
Figure 4: 3d Prints
2016 Research Experience for Undergraduates:
Physics @ Rensselaer
Simulation and Printing of Joined Bi-Layer Graphene
Timothy W. Kilmer1,2, Humberto Terrores2
1State University of New York (SUNY) Oneonta
2Rensslear Polytechnic Insitute
Project Goals Methods
Introduction
Results and Discussion Conclusions and Impact
Future Directions
Acknowledgments
The purpose of this project is to
simulate the density of states and
bands structure of two layer
graphene connected by a hole
(Figure 1) and compare properties
to Graphene. On the side, to
develop a process to print proposed
structure, Buckminsterfullerene, and
large fullerenes intended to
demonstrate crystal structures.
DFT Simulation
Simulations for Joined Bi-Layer
Graphene and Graphene were
done on CCI BlueGene q/amos and
SDCS Comet both running the
Quantum Espresso (QE) programs.
Each sample was relaxed to the
lowest total energy. Self Consistent
Field (SCF) and band calculations
were done on both structures using
QE pw.x program. Finally the
density of states were calculated
using QE dos.x program.
Printing
The models start as Cartesian
coordinates generated from
Mathematica and is made into a
Protein Data Bank (PDB) file.
These Files are then imported into
Blender using Atomic Blender to
show atoms as spheres and bonds
as cylinders. The file size of the
model was reduced and a
thickness is applied so the model
can be processed. The model was
then exported as a STL and sent to
RPI’s Rapid Prototyping Facility to
be printed.
Future directions to be done involve
simulating lattice vibrations, carrier
density, and electron flow.
Comparisons can also be made to
graphene anti-dots and bi-layer
graphene. The process to of
improving the 3D printing process
to print large complex fullerenes.
Thanks to Humberto Terrones, Aldo , Micheal Lucking,
Larry Ruff, CCI RPI, Comet Exede, SUNY Oneonta,
Quantum Espresso
Project was supported by NSF
References
H. Terrones M Terrones, Journal of Phys. 5, 1 (2003)
W. Kohn and L. J. Sham, Physical Review 140, pp. 1333 (1965)
L.A Chernozatonskii, V.A. Demin, & AA Artyukh, JETP Let. 5, pp 353-359 (2014)
With the use of DFT, the bi-layer
graphene system was not spin
polarized due to no change in the
total energy of the system. Also the
formation energy of the system per
atom was 0.001 eV. However this
could be changed by doping or
changing the geometry of the hole.
Such as, the hole radius and hole
depth.
Figure 1:
Joined bi-layer graphene side view (Left) and top view (Right).
Images generated in Mathematica.
Using density functional theory
(DFT) will give insight on the band
structure, density of states, spin
polarization , and the total energy
per atom of the system. Molecular
structures can be represented as a
file such as xyz, vasp, or PDB,
which will be used to define the
STL mesh for 3D printing and be
used for DFT.
Γ ΓMK
Γ K M Γ

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Physics NSF_REU Tim Kilmer Poster 2016

  • 1. Figure 2: Graphene bands and density of states. Figure 3: Joined Bi-layer Graphene bands, and density of states. Potential Energy Per Atom = 0.878 eV Defect Formation Energy = 0.001 eV Figure 4: 3d Prints 2016 Research Experience for Undergraduates: Physics @ Rensselaer Simulation and Printing of Joined Bi-Layer Graphene Timothy W. Kilmer1,2, Humberto Terrores2 1State University of New York (SUNY) Oneonta 2Rensslear Polytechnic Insitute Project Goals Methods Introduction Results and Discussion Conclusions and Impact Future Directions Acknowledgments The purpose of this project is to simulate the density of states and bands structure of two layer graphene connected by a hole (Figure 1) and compare properties to Graphene. On the side, to develop a process to print proposed structure, Buckminsterfullerene, and large fullerenes intended to demonstrate crystal structures. DFT Simulation Simulations for Joined Bi-Layer Graphene and Graphene were done on CCI BlueGene q/amos and SDCS Comet both running the Quantum Espresso (QE) programs. Each sample was relaxed to the lowest total energy. Self Consistent Field (SCF) and band calculations were done on both structures using QE pw.x program. Finally the density of states were calculated using QE dos.x program. Printing The models start as Cartesian coordinates generated from Mathematica and is made into a Protein Data Bank (PDB) file. These Files are then imported into Blender using Atomic Blender to show atoms as spheres and bonds as cylinders. The file size of the model was reduced and a thickness is applied so the model can be processed. The model was then exported as a STL and sent to RPI’s Rapid Prototyping Facility to be printed. Future directions to be done involve simulating lattice vibrations, carrier density, and electron flow. Comparisons can also be made to graphene anti-dots and bi-layer graphene. The process to of improving the 3D printing process to print large complex fullerenes. Thanks to Humberto Terrones, Aldo , Micheal Lucking, Larry Ruff, CCI RPI, Comet Exede, SUNY Oneonta, Quantum Espresso Project was supported by NSF References H. Terrones M Terrones, Journal of Phys. 5, 1 (2003) W. Kohn and L. J. Sham, Physical Review 140, pp. 1333 (1965) L.A Chernozatonskii, V.A. Demin, & AA Artyukh, JETP Let. 5, pp 353-359 (2014) With the use of DFT, the bi-layer graphene system was not spin polarized due to no change in the total energy of the system. Also the formation energy of the system per atom was 0.001 eV. However this could be changed by doping or changing the geometry of the hole. Such as, the hole radius and hole depth. Figure 1: Joined bi-layer graphene side view (Left) and top view (Right). Images generated in Mathematica. Using density functional theory (DFT) will give insight on the band structure, density of states, spin polarization , and the total energy per atom of the system. Molecular structures can be represented as a file such as xyz, vasp, or PDB, which will be used to define the STL mesh for 3D printing and be used for DFT. Γ ΓMK Γ K M Γ