Results 41 to 50 of about 6,470 (216)
Heights and Quadratic Forms: Cassels’ Theorem and its Generalizations
, 2012 In this survey paper, we discuss the classical Cassels\u27 theorem on existence of small-height zeros of quadratic forms over Q and its many extensions, to different fields and rings, as well as to more general situations, such as existence of totally ...
Fukshansky, Lenny, Lenny Fukshansky
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Rethinking Charge Transport and Recombination in Donor‐Diluted Organic Solar Cells
Advanced Materials, EarlyView.Organic solar cells with 1–45% PM6 content in Y12 were studied to link structure and charge dynamics to performance. The conductivity follows a 3D percolation model without a sharp threshold. Donor dilution preserves the photogeneration yield, but limits the fill factor due to transport resistance losses.
Chen Wang +14 more
wiley +1 more source
Period-index in top cohomology over semiglobal fields
, 2023 We prove a common slot lemma for symbols in top cohomology classes over semiglobal fields. Furthermore, we prove that period and index agree for general top cohomology classes over such fields.
Dijols, Sarah +3 more
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Resonant Domain Wall Dynamics in a Three‐Dimensional Magnetic Nano Double Helix
Advanced Materials, EarlyView.3D magnetic nanostructures promise exciting possibilities for magnetization dynamics. However, experimental realizations remain scarce. In nanoprinted cobalt double helices, time‐resolved X‐ray microscopy reveals harmonic domain wall dynamics. Simulations identify the mode and additional higher‐frequency resonances, revealing a rich dynamic landscape ...
Pamela Morales‐Fernández +15 more
wiley +1 more source
Advanced Materials, EarlyView.ABSTRACT Accurately knowing the frontier orbital energies of the structurally disordered small‐molecule organic semiconductors that are used in optoelectronic devices such as organic light‐emitting diodes is required to rationally improve their performance. Here, we show that these energies can be deduced with a large accuracy from the peak energies of
Christian B. McDonald +7 more
wiley +1 more source
Second‐Harmonic Hyper‐Mie Optical Activity Enables Closed‐Loop Chiral Photochemistry
Advanced Materials, EarlyView.Nonlinear chiral photochemistry is demonstrated in CdTe/CdO nanohelices, where circularly polarized infrared light both drives and tracks photo‐oxidation via second‐harmonic scattering. This closed‐loop process reveals real‐time structural evolution, including shell fracturing and core exposure, accompanied by a transition from hyper‐Mie to hyper ...
Hoyeon Choi +6 more
wiley +1 more source
A Survey of Interlayer Interaction Models for Graphene and Other 2D Materials
Advanced Materials Interfaces, EarlyView.Van der Waals interactions arising from electronic polarization at atomically close interfaces generate corrugated interlayer energy landscapes that govern normal and tangential tractions. This review presents an overview of quantum, atomistic, analytical, and continuum modeling approaches, highlighting their roles across length scales in capturing ...
Gourav Yadav +2 more
wiley +1 more source
On an extension of the separation theorem for quadratic forms over fields
, 2020 The problem of determining conditions under which a rational map can exist between a pair of twisted flag varieties plays an important role in the study of algebraic groups and their torsors over general fields.
Scully, Stephen
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Advanced Materials Interfaces, EarlyView.Cornus mas L. seeds are transformed into a high‐performance biosorbent through chemical modification, effectively removing methylene blue from aqueous solutions. Comprehensive characterization and optimization reveal a maximum biosorption capacity of 71.71 mg g−1, establishing this sustainable, cost‐effective material as a promising solution for ...
Hakan Yıldız +2 more
wiley +1 more source
Isotropy of quadratic forms over function fields
, 2019 The Hasse-Minkowski theorem says that a quadratic form over a global field admits a nontrivial zero if it admits a nontrivial zero everywhere locally.
Auel, Asher
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