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6 papers · 1 filter
Pathways of bond topology transitions at the interface of silicon nanocrystals and amorphous silica matrix
D. E. Yılmaz, C. Bulutay, T. Çağın
The interface chemistry of silicon nanocrystals (NCs) embedded in amorphous oxide matrix is studied through molecular dynamics simulations with the chemical environment described b…
On the representations of integers by the sextenary quadratic form x^2+y^2+z^2+ 7s^2+7t^2+ 7u^2 and 7-cores
Alexander Berkovich, Hamza Yesilyurt
In this paper we derive an explicit formula for the number of representations of an integer by the sextenary form x^2+y^2+z^2+ 7s^2+7t^2+ 7u^2. We establish the following intriguin…
Electronic Structure and Optical Properties of Silicon Nanocrystals along their Aggregation Stages
C. Bulutay
The structural control of silicon nanocrystals is an important technological problem. Typically a distribution of nanocrystal sizes and shapes emerges under the uncontrolled aggreg…
Godel Type Metrics in Einstein-Aether Theory
Metin Gurses
Aether theory is introduced to implement the violation of the Lorentz invariance in general relativity. For this purpose a unit timelike vector field introduced to theory in additi…
Stable symmetries of plane sextics
Alex Degtyarev
We classify projective symmetries of irreducible plane sextics with simple singularities which are stable under equivariant deformations. We also outline a connection between order…
Effect of molecular and electronic structure on the light harvesting properties of dye sensitizers
E. Mete, D. Uner, M. Cakmak +2
The systematic trends in structural and electronic properties of perylene diimide (PDI) derived dye molecules have been investigated by DFT calculations based on projector augmente…