Eigenspaces of symmetric graphs are not typically irreducible

We construct rich families of Schrödinger operators on symmetric graphs, both quantum and combinatorial, whose spectral degeneracies are persistently larger than the maximal dimension of an irreducible representation of the symmetry group.     

铈对16Mn钢中夹杂物和组织的影响

在高温钼丝炉内向16Mn钢中加入不同含量的铈进行脱氧,分析了钢中夹杂物和组织的变化,并探讨了含铈夹杂物诱发晶内铁素体形核的机制.结果表明:随钢中铈含量的增加,夹杂物依次转变为CeAlO3,Ce2O2S和Ce2S3.经铈处理后,钢液在1873 K时保温300 s,夹杂物最为细小弥散.钢中晶内铁素体随铈含量的增加而增加,但最佳的铈含量约为0.032%(质量分数).钢中Ce2O2S和Ce2S3夹杂与α-Fe相之间的错配度分别只有1.2%和0.5%,均可作为IGF非常有效的形核核心,促进其形成.     

Copper oxide nanoarray based on the substrate of Cu applied for the chemical sensor of hydrazine detection

This communication reports on a novel amperometric hydrazine sensor of CuO nanoarray based on a Cu substrate. Copper oxide nanoarray was directly grown on Cu substrates using a one-step facile hydrothermal method and was characterized using scanning electron microscopy and X-ray powder diffraction. The electrochemical study has shown that the CuO nanoarray exhibits higher catalytic effect on the hydrazine than the normal CuO nanoparticles. This may be attributed to the special structure of the nanomaterials esp. the substrate of the electric Cu. And the amperometric response showed that the CuO nanoarray modified glassy carbon electrode has a low detection and a high sensitivity for hydrazine.     

Dye-sensitized solid-state solar cells fabricated by screen-printed TiO_2 thin film with addition of polystyrene balls

The screen-printed nanoporous TiO2 thin film was employed to fabricate dye-sensitized solid-state solar cells using CuI as hole-transport materials. The solar cell based on nanoporous TiO2 thin film with large pores formed by the addition of polystyrene balls with diameter of 200 nm to the TiO2 paste exhibits photovoltaic performance enhancement, which is attributed to the good contact of CuI with surface of dye-sensitized thin film due to easy penetration of CuI in the film with large pores.