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In this paper, by the use of a fixed point theorem, many new necessary and sufficient conditions for the existence of positive solutions in C[0,1]∩C1[0,1]∩C2(0,1) or C[0,1]∩C2(0,1) are presented for singular superlinear and sublinear second-order boundary value problems. Singularities at t=0, t=1 will be discussed. 相似文献
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用ab initio能量解析梯度法,在UHF(RHF)/3-21G水平上优化得到AlCn,AlCn+(n=1~3)的四十三个构型,在RHF(UHF)/3-21G水平上优化得到AlC4,AlC4+的二十六个构型,CISD能量.从能量角度所研究的AlCn,AlCn+(n=1~4)构型中,最稳定的构型均是线性构型,且Al全都在端点上,同文献报导的理论和实验结果相一致.此外,还研究了原子簇的离子化能,原子平均结合能以及原子簇的碎片化通道和碎片化能,并计算了上述最稳定构型的谐振动光谱常数. 相似文献
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定域分子轨道在分子体系的化学图象和物理图象之间充当重要的桥梁作用,它的产生依赖于定域化准则,其中最普遍使用的是Foster-Boys和Edmiston-Ruedenberg(E—R)提出的两种定域化准则。这两种定域化准则是等价的,因而结果也是一致的。但对于E—R定域化来说,由于涉及到大量的多中心积分的计算,计算极为费时,因而远不如Foster-Boys定 相似文献
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Xiaoqin Liang Wenxu Zheng Ning-Bew Wong Yuanjie Shu Anmin Tian 《Journal of Molecular Structure》2005,732(1-3):127-137
The keto–enol tautomerism of cyameluric acid, both in gas phase and in water and methanol solution, has been studied at the B3LYP/6-31++g(d,P) level of theory in this paper. The harmonic frequencies of all the structures are calculated. The results show that the transition states of the tautomerism are 4-membered ring conformations in gas phase, whereas 6-membered ring conformations in solution. In the first proton transfer, activation energy ΔE# is 56.4 and 50.9 kJ/mol for water and methanol solution, respectively, which is much lower than that in gas phase (163.2 kJ/mol). Solvent molecules (water and methanol) produce an important catalytic effect in the tautomerism, especially for methanol-solvated system. NBO analysis shows that there is a strong interaction between cyameluric acid and solvent molecules in transition states. AIM charge analysis indicates that the keto–enol tautomerism shows a certain degree of proton transfer character. From the reaction enthalpy and reaction rate point of view, keto–enol tautomerism in water-solvated and methanol-solvated system is easier than that in gas phase. The keto–enol tautomerisms are endothermic both in gas phase and in solution, so the enol forms are less stable than the keto ones. 相似文献
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Zhi Jin Weili Cui Fangda Zhang Fang Wang Shichao Cheng Yuejin Fu Anmin Huang 《Molecules (Basel, Switzerland)》2022,27(15)
In order to explore a rapid identification method for the anti-counterfeit of commercial high value collections, a three-step infrared spectrum method was used for the pterocarpus collection identification to confirm whether a commercial pterocarpus bracelet (PB) was made from the precious species of Pterocarpus santalinus (P. santalinus). In the first step, undertaken by Fourier transform infrared spectroscopy (FTIR) spectrum, the absorption peaks intensity of PB was slightly higher than that of P. santalinus only at 1594 cm−1, 1205 cm−1, 1155 cm−1 and 836 cm−1. In the next step of second derivative IR spectra (SDIR), the FTIR features of the tested samples were further amplified, and the peaks at 1600 cm−1, 1171 cm−1 and 1152 cm−1 become clearly defined in PB. Finally, by means of two-dimensional correlation infrared (2DIR) spectrum, it revealed that the response of holocellulose to thermal perturbation was stronger in P. santalinus than that in PB mainly at 977 cm−1, 1008 cm−1, 1100 cm−1, 1057 cm−1, 1190 cm−1 and 1214 cm−1, while the aromatic functional groups of PB were much more sensitive to the thermal perturbation than those of P. santalinus mainly at 1456 cm−1, 1467 cm−1, 1518 cm−1, 1558 cm−1, 1576 cm−1 and 1605 cm−1. In addition, fluorescence microscopy was used to verify the effectiveness of the above method for wood identification and the results showed good consistency. This study demonstrated that the three-step IR method could provide a rapid and effective way for the anti-counterfeit of pterocarpus collections. 相似文献
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Liang Qiu Gang Tang Xianqing Yang Zhipeng Xun Bin Ye Anmin Wang 《International Journal of Theoretical Physics》2014,53(8):2769-2777
The effects of decoherence on quantum discord of two-qutrit system under the influence of multilocal, collective and global depolarising noises are investigated. Sudden change of quantum discord with the decoherence parameter and the initial state parameter occurs for the qutrits being coupled to multilocal or global depolarising noises. On the other hand, decoherence cannot induce sudden change of quantum discord when the system is collectively coupled to the depolarising noise. In addition, the local unitary transformation can alter the region in which the phenomenon of sudden change exists. 相似文献