Spherical harmonic-based random fields based on real particle 3D data: Improved numerical algorithm and quantitative comparison to real particles

Liu, X.
Garboczi, E. J.
Grigoriu, M.
Lu, Y.
Erdoğan, Sinan Turhan
The shape of particles often plays an important role in how they are used and in the properties of composite systems in which they are incorporated. When building models of systems that include real particles, it is often of interest to generate new, virtual particles whose 3D shape statistics are based on the 3D shape statistics of a collection of real particles. A previous paper showed mathematically how this can be carried out, but only had a small set of real particle shape data to use and only made a limited amount of qualitative comparisons to the real particle data. The present paper shows how the numerical method used to create virtual particles has been improved and immensely accelerated, allowing the use of large particle datasets. Making use of several large particle shape datasets, the paper confirms that the algorithm creates particles whose statistical shape properties closely match the real particles from which they were generated. Another question that can now be addressed with these larger particle datasets is: how many real particles are enough to be representative of the particle class from which they were drawn? The types of particles analyzed include two size ranges of crushed granite-hornblende rocks, silica sand, calcium carbonate powder, and ground granulated blast furnace slag. Published by Elsevier B.V.


Optical absorption of a quantum well with an adjustable asymmetry
Yildirim, H.; Tomak, Mehmet (Springer Science and Business Media LLC, 2006-04-01)
The effects of asymmetry and the electric field on the electronic subbands and the nonlinear intersubband optical absorption of GaAs quantum wells represented by a Poschl-Teller confining potential are studied. The potential itself can be made asymmetric through a correct choice of its parameter set and this adjustable asymmetry is important for optimizing the absorption. In that way optimal cases can be created. We calculate the modified wave functions and electronic subbands variationally. The linear and ...
Surface-enhanced Raman scattering spectroscopy via gold nanostars
Nalbant Esentürk, Emren (Wiley, 2009-01-01)
Anisotropic metallic nanoparticles (NPs) have unique optical properties, which lend them to applications such as surface-enhanced Raman scattering (SERS) spectroscopy. Star-shaped gold (Au) NPs were prepared in aqueous solutions by the seed-mediated growth method and tested for Raman enhancement using 2-mercaptopyridine (2-MPy) and crystal violet (CV) probing molecules. For both molecules, the SERS activity of the nanostars was notably stronger than that of the spherical Au NPs of similar size. The Raman en...
Nonlinear optical properties of a Poschl-Teller quantum well under electric and magnetic fields
AYTEKİN, ÖZLEM; Turgut, Sadi; Tomak, Mehmet (2012-04-01)
The nonlinear optical properties of a Poschl-Teller Quantum well (PTQW) under electric and magnetic fields are studied. The salient feature of this potential is its flexibility. It can be made asymmetrical by a proper choice of its two parameters. Optical rectification, second and third-harmonic generation susceptibilities are calculated using the density matrix formalism. We study the effects of quantum confinement, electric and magnetic fields on all of these optical coefficients.
Simple Estimation of the Surface Area of Irregular 3D Particles
Erdoğan, Sinan Turhan (2016-08-01)
Shape-related properties of irregular particles are of interest in many fields. The volume and dimensions of rocks, such as coarse and larger fine concrete aggregates, can be physically measured rather easily. However, the surface area is difficult to measure physically, if at all possible. A combination of computed tomography and spherical harmonic analysis can be used to calculate the surface areas of micrometer-sized to centimeter-sized particles. This paper compares the success of several approaches tha...
Shape models based on elliptic PDES, associated energies, and their applications in 2D and 3D
Gençtav, Aslı; Tarı, Zehra Sibel; Can, Tolga; Department of Computer Engineering (2018)
By using an elliptic PDE or its modifications, we develop implicit shape representations and demonstrate their two- and three-dimensional applications. In the first part of the thesis, we present a novel shape characterization field that provides a local measure of roundness at each shape point. The field is computed by comparing the solution of the elliptic PDE on the shape domain and the solution of the same PDE on the reference disk. We demonstrate its potential via illustrative applications including gl...
Citation Formats
X. Liu, E. J. Garboczi, M. Grigoriu, Y. Lu, and S. T. Erdoğan, “Spherical harmonic-based random fields based on real particle 3D data: Improved numerical algorithm and quantitative comparison to real particles,” POWDER TECHNOLOGY, pp. 78–86, 2011, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/42860.