群在分配格上的作用

本文将分配格的自同构群对分配格的作用推广成抽象的群对分配格的作用(即G-分配格),建立了G-有界分配格范畴和G-Priestley空间范畴的对偶等价性,并在此基础上刻画了G-同余关系的对偶以及G-分配格的次直不可约性和同余可换性。所得结论丰富了分配格、格群等代数理论。     

锌离子掺杂HA晶须形成过程及其热稳定性能研究

锌离子掺杂羟基磷灰石(HA)不仅影响HA的晶体结构和微观形貌,还影响材料的热稳定性和生物学性能.本文采用水热合成法制备了锌离子掺杂HA(Zn-HA)晶须,通过XRD、FTIR和SEM等测定和研究了Zn-HA的晶体结构、形成过程、结晶形貌和热稳定性.结果表明,Zn2+掺杂量<5;时,可获得单相Zn-HA晶须;当Zn2+掺量为5;时,合成产物中开始有少量的CaZn2(PO4)2·2H2O杂质相生成;当增加至8;时,开始有明显的Zn(PO3)2杂质峰出现.随水热合成温度的增加,溶液的OH-不断释放,伴随HA晶核的形成和生长,还有极少量的CaZn2(PO4)2·2H2O和Ca3(PO4)2杂质相,并通过溶解再沉淀生成Zn-HA.当Zn2+的掺杂量在0～8;时,随着Zn2+掺杂量的增加,样品的结晶度逐渐降低,晶格常数a值有所增加,c值基本不变.Zn2+掺杂HA晶须在>800℃的环境下热处理,Zn2+掺杂量的增加和热处理温度的改变都会促进HA晶须向β-TCP转化,形成双相磷酸钙.     

Generation of single and multiple dissipative soliton in an erbium-doped fiber laser

We experimentally report on the generation of single and multiple dissipative soliton via nonlinear polarization rotation technique. The spectrum of the mode-locked dissipative soliton exhibits typical steep edges with a flat top; the pulse duration is 10.07 ps. It is found that with the pump power increasing from 110 mW to 161 mW, the top of the mode-locked spectrum becomes flater and the 3-dB spectral bandwidth is broadened, which indicates that the gain-dispersion effect is lowered under stronger pump. However, the full bandwidth of the spectrum is narrowed, which proves that the spectral filter effect increases and overcomes the effect of self-phase modulation induced spectral broadening. Such a phenomenon was not noticed nor reported before. Our experiment also demonstrates that the pulse interval is highly dependent on the input pump power: with pump power increasing, the pulse interval tends towards more uniform. So our observation qualitatively analyzes the relationship between mode-locked pulse characteristics and input pump power.     

由自然数的因子构成的半群

本文首先介绍了半群、群的定义,研究了自然数n取何值时,通过定义相应的代数运算,使得它的因子集构成半群、群,从而为半群的代数理论提供了一个有趣的实例.     

镁离子掺杂羟基磷灰石晶须的制备及热稳定性研究

羟基磷灰石(HA)是一种性能优良的骨替代材料,镁离子掺杂HA (Mg-HA) 晶须不仅可以改变HA的生物学性能,还能起到增强作用.但Mg2+掺入后会改变HA的晶格结构并影响它的热稳定性.采用水热合成法制备了镁离子掺杂HA晶须,并通过XRD、FTIR和SEM研究了镁离子掺杂HA的晶体结构、热稳定性及影响因素.结果表明:当镁离子掺杂量≤5;时,随着镁离子掺杂量的增加,HA晶须的结晶度降低,晶胞参数a基本不变、c值有所降低;当镁离子的掺量增加至8;时,有少量Ca7Mg2P6O24杂质峰出现.镁离子掺杂HA在800 ℃下就能发生分解,生成HA/β-TCP双相磷酸钙.镁离子的掺杂量、煅烧温度和生物玻璃添加量都能促进HA的分解.