Partial Transmutation of Singularities in Optical Instruments

Some interesting optical instruments such as the Eaton lens and the Invisible Sphere require singularities of the refractive index for their implementation. We show how to transmute those singularities into harmless topological defects in anisotropic media without the need for anomalous material properties

Helix compactness and stability: Electron structure calculations of conformer dependent thermodynamic functions

Structure, stability, cooperativity and molecular packing of two major backbone forms: 310-helix and β-strand are investigated. Long models HCO-(Xxx)n-NH2 Xxx = Gly and (l-)Ala, n ⩽ 34, are studied at two levels of theory including the effect of dispersion forces. Structure and folding preferences are established, the length modulated cooperativity and side-chain determined fold compactness is quantified. By monitoring ΔG°β→α rather than the electronic energy, ΔEβ→α, it appears that Ala is a much better helix forming residue than Gly. The achiral Gly forms a more compact 310-helix than any chiral amino acid residue probed here for l-Ala

Cloaking and imaging at the same time

In this letter, we propose a conceptual device to perform subwavelength imaging with positive refraction. The key to this proposal is that a drain is no longer a must for some cases. What's more, this device is an isotropic omnidirectional cloak with a perfect electric conductor hiding region and shows versatile illusion optical effects. Numerical simulations are performed to verify the functionalities.Comment: 15 pages, 4 figure

A theoretical study of the stability of disulfide bridges in various β-sheet structures of protein segment models

Electron structure calculations are used to explore stabilization effects of disulfide bridges in a (Ala–Cys–Ala–Cys–Ala)2 β-sheet model both in the parallel and the anti-parallel (103142 and 143102) arrangements. Stabilities were calculated using a redox reaction involving a weak oxidizing agent (1,4-benzoquinone). The results show that both inter- and intra-strand disulfide SS-bridges stabilize the β-sheet backbone fold. However, inter-strand SS-bridges give more stability than their intra-strand counterparts. For both single and double disulfide linked conformations, stabilization was larger for the parallel than for the anti-parallel β-sheet arrangements

Photonic band structure of two-dimensional atomic lattices

Two-dimensional atomic arrays exhibit a number of intriguing quantum optical phenomena, including subradiance, nearly perfect reflection of radiation, and long-lived topological edge states. Studies of emission and scattering of photons in such lattices require complete treatment of the radiation pattern from individual atoms, including long-range interactions. We describe a systematic approach to perform the calculations of collective energy shifts and decay rates in the presence of such long-range interactions for arbitrary two-dimensional atomic lattices. As applications of our method, we investigate the topological properties of atomic lattices both in free space and near plasmonic surfaces

N-acetyl-l-aspartic acid-N'-methylamide with side-chain orientation capable of external hydrogen bonding

In this study, we generated and analyzed the side-chain conformational potential energy hyper-surfaces for each of the nine possible backbone conformers for N-acetyl-L-aspartic acid-N' methylamide. We found a total of 27 out of the 81 possible conformers optimized at the B3LYP/6-31G(d) level of theory. The relative energies, as well as the stabilization energies exerted by the side-chain on the backbone, have been calculated for each of the 27 optimized conformers at this level of theory. Various backbone-backbone (N-(HO)-O-...=C) and backbone-side-chain (N-(HO)-O-...=C; N-(HOH)-O-...) hydrogen bonds were analyzed. The appearance of the notoriously absent epsilon(L) backbone conformer may be attributed to such side-chain-backbone (SC/BB) and backbone-backbone (BB/BB) hydrogen bonds

Impairment of a model peptide by oxidative stress: Thermodynamic stabilities of asparagine diamide C(alpha)-radical foldamers

Electron structure calculations on N-acetyl asparagine N-methylamide were performed to identify the global minimum from which radicals were formed after H-abstraction by the OH radical. It was found that the radical generated by breaking the C–H bond of the alpha-carbon was thermodynamically the most stable one in the gas- and aqueous phases. The extended ((beta)L and (beta)D) backbone conformations are the most stable, but syn–syn or inverse gamma-turn ((gamma)L) and gamma-turn ((gamma)D) have substantial stability too. The highest energy conformers are the degenerate eL and eD foldamers. Clearly, the most stable beta foldamer is the most likely intermediate for racemization

A mathematical and computational review of Hartree-Fock SCF methods in Quantum Chemistry

We present here a review of the fundamental topics of Hartree-Fock theory in Quantum Chemistry. From the molecular Hamiltonian, using and discussing the Born-Oppenheimer approximation, we arrive to the Hartree and Hartree-Fock equations for the electronic problem. Special emphasis is placed in the most relevant mathematical aspects of the theoretical derivation of the final equations, as well as in the results regarding the existence and uniqueness of their solutions. All Hartree-Fock versions with different spin restrictions are systematically extracted from the general case, thus providing a unifying framework. Then, the discretization of the one-electron orbitals space is reviewed and the Roothaan-Hall formalism introduced. This leads to a exposition of the basic underlying concepts related to the construction and selection of Gaussian basis sets, focusing in algorithmic efficiency issues. Finally, we close the review with a section in which the most relevant modern developments (specially those related to the design of linear-scaling methods) are commented and linked to the issues discussed. The whole work is intentionally introductory and rather self-contained, so that it may be useful for non experts that aim to use quantum chemical methods in interdisciplinary applications. Moreover, much material that is found scattered in the literature has been put together here to facilitate comprehension and to serve as a handy reference.Comment: 64 pages, 3 figures, tMPH2e.cls style file, doublesp, mathbbol and subeqn package

Crowding Alone Cannot Account for Cosolute Effect on Amyloid Aggregation

Amyloid fiber formation is a specific form of protein aggregation, often resulting from the misfolding of native proteins. Aimed at modeling the crowded environment of the cell, recent experiments showed a reduction in fibrillation halftimes for amyloid-forming peptides in the presence of cosolutes that are preferentially excluded from proteins and peptides. The effect of excluded cosolutes has previously been attributed to the large volume excluded by such inert cellular solutes, sometimes termed “macromolecular crowding”. Here, we studied a model peptide that can fold to a stable monomeric β-hairpin conformation, but under certain solution conditions aggregates in the form of amyloid fibrils. Using Circular Dichroism spectroscopy (CD), we found that, in the presence of polyols and polyethylene glycols acting as excluded cosolutes, the monomeric β-hairpin conformation was stabilized with respect to the unfolded state. Stabilization free energy was linear with cosolute concentration, and grew with molecular volume, as would also be predicted by crowding models. After initiating the aggregation process with a pH jump, fibrillation in the presence and absence of cosolutes was followed by ThT fluorescence, transmission electron microscopy, and CD spectroscopy. Polyols (glycerol and sorbitol) increased the lag time for fibril formation and elevated the amount of aggregated peptide at equilibrium, in a cosolute size and concentration dependent manner. However, fibrillation rates remained almost unaffected by a wide range of molecular weights of soluble polyethylene glycols. Our results highlight the importance of other forces beyond the excluded volume interactions responsible for crowding that may contribute to the cosolute effects acting on amyloid formation