Grand canonical Monte Carlo simulations of the 129Xe NMR line shapes of xenon adsorbed in (+/-)-[Co(en)3]Cl3

The 129Xe NMR line shapes of xenon adsorbed in the nanochannels of the (+/-)-[Co(en)3]Cl3 ionic crystal have been calculated by grand canonical Monte Carlo (GCMC) simulations. The results of our GCMC simulations illustrate their utility in predicting 129Xe NMR chemical shifts in systems containing a transition metal. In particular, the nanochannels of (+/-)-[Co(en)3]Cl3 provide a simple, yet interesting, model system that serves as a building block toward understanding xenon chemical shifts in more complex porous materials containing transition metals. Using only the Xe-C and Xe-H potentials and shielding response functions derived from the Xe@CH4 van der Waals complex to model the interior of the channel, the GCMC simulations correctly predict the 129Xe NMR line shapes observed experimentally (Ueda, T.; Eguchi, T.; Nakamura, N.; Wasylishen, R. E. J. Phys. Chem. B 2003, 107, 180-185). At low xenon loading, the simulated 129Xe NMR line shape is axially symmetric with chemical-shift tensor components delta(parallel) = 379 ppm and delta(perpendicular) = 274 ppm. Although the simulated isotropic chemical shift, delta(iso) = 309 ppm, is overestimated, the anisotropy of the chemical-shift tensor is correctly predicted. The simulations provide an explanation for the observed trend in the 129Xe NMR line shapes as a function of the overhead xenon pressure: delta(perpendicular) increased from 274 to 292 ppm, while delta(parallel) changed by only 3 ppm over the entire xenon loading range. The overestimation of the isotropic chemical shifts is explained based upon the results of quantum mechanical 129Xe shielding calculations of xenon interacting with an isolated (+/-)-[Co(en)3]Cl3 molecule. The xenon chemical shift is shown to be reduced by about 12% going from the Xe@[Co(en)3]Cl3 van der Waals complex to the Xe@C2H6 fragment.     

Long-range corrected hybrid functionals for π-conjugated systems: dependence of the range-separation parameter on conjugation length

Long-range corrected (range-separated hybrid) functionals represent a relatively new class of functionals for generalized Kohn-Sham theory that have proven to be very successful, for instance, when it comes to predicting ionization potentials and energy gaps for a wide range of molecules and solids. The results obtained from long-range corrected density functional theory approaches can be improved dramatically, if the range-separation parameter (ω) is optimized for each system separately. In this work, we have optimized ω for a series of π-conjugated molecular systems of increasing length by forcing the resulting functionals to obey the ionization potential-theorem, i.e., that their highest occupied eigenvalue be equal to the ΔSCF ionization potential. The optimized ω values are observed to vary substantially from their default values for the functionals. For highly conjugated chains such as oligoacenes and polyenes, we find that the characteristic length scale of the range-separation, i.e., 1/ω, grows almost linearly with the number of repeat units, for saturated alkane chains, however, 1/ω quickly saturates after 5-6 repeat units. For oligothiophenes, we find that 1/ω grows linearly for the shorter oligomers but then saturates at around 10 repeat units. Our results point to a close relation between the optimal range-separation parameter and the degree of conjugation in the system.     

Synthesis of collagenase-sensitive polyureas for ligament tissue engineering

Recently, poly(ester urethanes) were investigated for use as ligament grafts due to their exceptional mechanical properties and highly tunable structure; however, these grafts are susceptible to hydrolytic degradation that occurs independent of tissue regeneration. To address this limitation, polyureas containing collagen-derived peptides were synthesized which enable cellular release of proteases to dictate degradation rate. It is hypothesized that this cell-responsive design will facilitate load transfer from the biodegradable scaffold to neotissue at a rate that promotes proper tissue orientation and function while maintaining construct integrity.     

Emulsion Inks for 3D Printing of High Porosity Materials

Photocurable emulsion inks for use with solid freeform fabrication (SFF) to generate constructs with hierarchical porosity are presented. A high internal phase emulsion (HIPE) templating technique was utilized to prepare water‐in‐oil emulsions from a hydrophobic photopolymer, surfactant, and water. These HIPEs displayed strong shear thinning behavior that permitted layer‐by‐layer deposition into complex shapes and adequately high viscosity at low shear for shape retention after extrusion. Each layer was actively polymerized with an ultraviolet cure‐on‐dispense (CoD) technique and compositions with sufficient viscosity were able to produce tall, complex scaffolds with an internal lattice structure and microscale porosity. Evaluation of the rheological and cure properties indicated that the viscosity and cure rate both played an important role in print fidelity. These 3D printed polyHIPE constructs benefit from the tunable pore structure of emulsion templated material and the designed architecture of 3D printing. As such, these emulsion inks can be used to create ultra high porosity constructs with complex geometries and internal lattice structures not possible with traditional manufacturing techniques.

     

The photochemistry of 6‐phenanthridinecarbonitrile II. The physical and photophysical properties

The physical and photophysical properties of 6‐phenanthridinecarbonitrile ( 1 ) have been examined. We previously reported that when 1 is irradiated in aqueous 2‐propanol, three products are formed [3]. These include dimethyl‐6‐phenanthridinylcarbinol (2), phenanthridine (3) and 6,6′‐biphenanthridine (4). Phenanthridinyl radical is formed in neutral media by hydrogen atom abstraction from an alcohol molecule by an excited state of 1 in a monophotonic process. The presents of acid effectively quenches all photochemical behavior. These products may all be explained assuming in‐cage and out‐of‐cage reactions. The free spin value, g_e, was determined at 125 K and found to be 2.0043 which is close to the theoretical value for that of a free electron. The total emission spectrum of 1 at 77 K shows a fluorescence maximum at 378 nm and a much weaker phosphorescence maximum at 502 nm which represented less than 3% of the total emission. When benzophenone is added to the reaction mixture, the triplet state of 1 is populated, but photosensitized product formation does not occur. The result supports a singlet reactive state. When cis/trans‐piperylene is added to the reaction mixtures, it quenches the fluorescence of 1 . The fluorescence quantum yield (Φ_f) was found to be 0.227 in neat 2‐propanol. The addition of water causes an increase in Φ_f and a decrease in the Pk_a of the medium. The excited state lifetime (τ) was determined in neat 2‐propanol, using oxygen quenching, and found to be 3.4 ns. This number increased with increasing water concentration. The photoreactive state of 1 appears to be its π,π* singlet state making its behavior more like that of the corresponding hydrocarbon parent.     

High-pressure magic angle spinning nuclear magnetic resonance

A high-pressure magic angle spinning (MAS) NMR capability, consisting of a reusable high-pressure MAS rotor, a high-pressure rotor loading/reaction chamber for in situ sealing and re-opening of the high-pressure MAS rotor, and a MAS probe with a localized RF coil for background signal suppression, is reported. The unusual technical challenges associated with development of a reusable high-pressure MAS rotor are addressed in part by modifying standard ceramics for the rotor sleeve by abrading the internal surface at both ends of the cylinder. In this way, not only is the advantage of ceramic cylinders for withstanding very high-pressure utilized, but also plastic bushings can be glued tightly in place so that other removable plastic sealing mechanisms/components and O-rings can be mounted to create the desired high-pressure seal. Using this strategy, sealed internal pressures exceeding 150 bars have been achieved and sustained under ambient external pressure with minimal loss of pressure for 72 h. As an application example, in situ¹³C MAS NMR studies of mineral carbonation reaction intermediates and final products of forsterite (Mg₂SiO₄) reacted with supercritical CO₂ and H₂O at 150 bar and 50 °C are reported, with relevance to geological sequestration of carbon dioxide.     

Simultaneous multidiagonalization for the CS decomposition

When an orthogonal matrix is partitioned into a two-by-two block structure, its four blocks can be simultaneously bidiagonalized. This observation underlies numerically stable algorithms for the CS decomposition and the existence of CMV matrices for orthogonal polynomial recurrences. We discover a new matrix decomposition for simultaneous multidiagonalization, which reduces the blocks to any desired bandwidth. Its existence is proved, and a backward stable algorithm is developed. The resulting matrix with banded blocks is parameterized by a product of Givens rotations, guaranteeing orthogonality even on a finite-precision computer. The algorithm relies heavily on Level 3 BLAS routines and supports parallel computation.     

The isotopic dependence of the spin-rotation interaction for an asymmetric top molecule

The isotopic dependence of the spin-rotation interaction for an asymmetric top molecule is investigated. It is shown that, to second order, the matrix product is independent of origin and isotopically invariant, assuming the same geometrical directions α, β and γ are employed for the different isotopes. I _αβ and ε_βγ are respectively the components of the inertial and spin-rotation tensors. This result enables the effective parameters determined by experiment to be interpreted in terms of the components of the actual spin-rotation tensor. The relationship is tested using results for the NH₂ and HO₂ molecules with their isotopic modifications.