Parameter variation in low-quartz between 94 and 298K

The structure of low quartz has been refined at 94, 115, 150, 190, 240 and 298K using Mo Kα intensities up to 2θ = 90° with residuals around 1.25%. The major structural change from 94 to 298K is an increase of the SiOSi angle from 142.69(4) to 143.65(5) corresponding to a rotation by ～0.8° of a rigid SiO₄ tetrahedron around the crystallographic 2-axis through its central Si. The orientations of the principal axes of vibration of Si and O do not change significantly with temperature. The temperature dependence of the mean-square displacement of O along its principal axes follows the Debye formula of thermal motion quite well, while for Si the experimental slopes are significantly less than their calculated values.     

Tunable design strategy for fluorescence probes based on 4-substituted BODIPY chromophore: improvement of highly sensitive fluorescence probe for nitric oxide

4,4-Difluoro-4-bora-3a,4a-diaza-s-indacene (BODIPY) is a well-known fluorophore, with a high molar extinction coefficient and high fluorescence quantum efficiency (Phi(fl)). Furthermore, its structure can be modified to change its excitation and emission wavelengths. However, little work has been done on the structural modification of fluorines at the B-4 position with other functional groups. We synthesized 4-methoxy-substituted BODIPY derivatives in satisfactory yields, and found that they exhibited improved solubility in aqueous solution. Moreover, their oxidation and reduction potentials were greatly decreased without any change in their absorbance and fluorescence properties. These features of 4-substituted BODIPYs may be useful for developing novel fluorescence probes based on the intramolecular photoinduced electron transfer (PeT) mechanism, because it is possible to optimize the PeT process precisely by modulating the electrochemical properties of the fluorophore. The value of this approach is exemplified by its application to the development of a highly sensitive and pH-independent fluorescence probe for nitric oxide.     

Open problems on k-orbit polytopes

We present 35 open problems on combinatorial, geometric and algebraic aspects of $k$-orbit abstract polytopes. We also present a theory of rooted polytopes that has appeared implicitly in previous work but has not been formalized before.