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Abundance and biomass of meiobenthos in the spawning ground of anchovy (Engraulis japanicus) in the southern Huanghai Sea 被引量:29
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作者 LIUXiaoshou ZHANGZhinan HUANGYong 《Acta Oceanologica Sinica》 SCIE CAS CSCD 2005年第3期94-104,共11页
A grid of 22 stations, giving a broad coverage of the spawning ground of anchovy in the southern Huanghai Sea was selected. Undis- turbed sediments were taken from sampling stations during the cruise in June 2003. The... A grid of 22 stations, giving a broad coverage of the spawning ground of anchovy in the southern Huanghai Sea was selected. Undis- turbed sediments were taken from sampling stations during the cruise in June 2003. The average abundance of meiofauna is (1 584± 686) ind./10cm2, with corresponding biomass (dwt) of (1 086±425)!μg/10cm2. The pattern of abundance of meiofauna is similar to the pattern of biomass. There are 65.88% meiofauna in 0 ̄2 cm sediments, 27.66% in 2 ̄5 cm sediments and 6.47% in 5 ̄8 cm sediments. The Spearman correlation analysis between meiofauna and environmental factors shows that abundance of meiofauna, free living ma- rine nematodes, benthic copepods has significant positive correlations with Chl-a. And the abundance of copepods has significant posi- tive correlations with several factors such as Chl-a, Pha-a, Chl-a plus Pha-a and organic matter. A total of 18 meiofauna groups are i- dentified. Nematode is the most dominant group, average abundance (1 404±670) ind/10cm2, accounting for 88.65%, and the follow- ing groups are also important: benthic copepods (5.48%), kinorhyncha (1.26%), polychaeta (1.07%). By biomass, dominant groups are nematodes (51.72%), polychaeta (21.84%), copepods (14.87%), ostracoda (4.92%), kinorhyncha (3.67%). A total of 90 species of ne- matodes are identified. The species composition of nematodes is listed based on selected two stations 7794 (coastal area) and 10694 (cold water mass in deep waters). 展开更多
关键词 meiofauna free living marine nematodes benthic copepods ABUNDANCE BIOMASS southern Huanghai Sea
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Studies on the Community Structures of Meiofauna and Marine Nematode at Six Stations in the Southern Yellow Sea,China 被引量:10
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作者 HUANGYong ZHANGZhinan LIUXiaoshou 《Journal of Ocean University of China》 SCIE CAS 2005年第1期34-42,共9页
Meiofauna (0.031-0.5 mm) were sampled and studied at a grid of six stationsduring the cruise of investigation for over winter ground of anchovy (Engraulis japonicus) in theSouthern Yellow Sea, China in January 2003. T... Meiofauna (0.031-0.5 mm) were sampled and studied at a grid of six stationsduring the cruise of investigation for over winter ground of anchovy (Engraulis japonicus) in theSouthern Yellow Sea, China in January 2003. Total meiofauna individuals averaged (1.162 ± 0.347) x10^6 ind m^(-2) and the corresponding biomass 1.748 ± 0.72 g dwt m^(-2) with the maximum 2.35 g dwtm^(-2) at Station 9594 and the minimum 0.537 g dwt m^(-2) at Station 11794. A total of fourteentaxa were identified. Free living marine nematodes were the most dominant group with an averageabundance of (1.026 ± 0.206) x 10~6 ind m^(-2), accounting for 88.5% of total numbers, and anaverage of 85.4% lived in the surface layer (0-2cm) of sediments. The individual dry weight wascalculated, which ranges from 0.01 μg to 31.32 μg with an average of 0.261 μg. One hundred andforty two species or taxa of free-living marine nematodes belonging to 89 genera, 24 families and 4orders were identified. Six of them were new species. The common dominant species were Dorylaimopsisrabalaisi, Sphaerolaimus balticus, Sphaerolaimus mini-tus, Metalinhomoeus longicauda,Prochromadorella attenuata., Campylaimus sp. 1, Vasostoma sp. 1, Daptonema nor-mandicum,Paramonohystera riemanni, and Promonhystera sp. 1. According to cluster analysis of Primer 5.0, thesix stations were clustered into 2 groups with similar species composition at 40% similarity. Thespecies diversity index (H′), evenness index (J) and species richness index (d) of nematode werecalculated and analyzed. Correlation analysis with respect to environmental factors showed that theabundance of meiofauna had a significant correlation with the median diameter of sediment (Md_φ).The species richness of nematodes had a highly significant correlation with Chl-a and significantcorrelations with Pha-a and Chl-a + Pha-a. 展开更多
关键词 MEIOFAUNA free-living marine nematodes benthic ecology communitystructure yellow sea of China
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A Class of Traveling Wave Solutions to Some Nonlinear Partial Differential Equations 被引量:5
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作者 BAICheng-Lin 《Communications in Theoretical Physics》 SCIE CAS CSCD 2003年第2X期147-150,共4页
For the Noyes-Fields equations, two-dimenslonal hyperbolic equations of conversation laww and the Burgers-KdV equation, a class of travellng wave solutions has been obtained by constructhag appropriate function transf... For the Noyes-Fields equations, two-dimenslonal hyperbolic equations of conversation laww and the Burgers-KdV equation, a class of travellng wave solutions has been obtained by constructhag appropriate function transformations. The main idea of solving the equations is that nonlinear partial differential equations are changed into solving algebraic equations. This method has a wide-ranging practicability. 展开更多
关键词 非线性偏微分方程 行波解 函数变换 Noyes-Fields方程 二维双曲线方程 BURGERS-KDV方程
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Late Cenozoic Chemical Weathering and Environmental Changes Recorded in the Co Ngoin Sediments,Central Qinghai-Tibet Plateau 被引量:8
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作者 CHENShiyue JINZhangdong +1 位作者 WANGSumin SHENJi 《Acta Geologica Sinica(English Edition)》 SCIE CAS CSCD 2005年第3期384-391,共8页
A series of faulted inland basins were developed in the central Qinghai-Tibet Plateau, among which the Co Ngoin Basin containing thick lacustrine sediments is located in the peripheral area of the Indian monsoon. In t... A series of faulted inland basins were developed in the central Qinghai-Tibet Plateau, among which the Co Ngoin Basin containing thick lacustrine sediments is located in the peripheral area of the Indian monsoon. In this paper, we present the weathering history and paleoclimatic changes in the last 2.8 Ma based on studies of high-resolution temporal distributions of Sr, Rb and Zr concentrations, Rb/Sr and Zr/Rb ratios and δ 13C and TOC for the Co Ngoin sediments, in combination with the sediment properties, grain size distribution and clay mineralogy. The sedimentary records indicate three environmental stages in the last 2.8 Ma. At the core depth of 197?170 m (about 2.8?2.5 Ma), low-intensity chemical weathering in the Co Ngoin catchment was experienced under warm-dry to cool-wet climate conditions with relatively low Sr concentration and high Rb/Sr and Zr/Rb ratios. The sudden occurrence of both subalpine coniferous forest and coarse sand and gravel sediments in the Co Ngoin core reflects a strong tectonic uplift. The high Sr concentrations and low Rb/Sr and Zr/Rb ratios reflect a relatively strong chemical weathering between 2.5 Ma and 0.8 Ma (at the core depth of 170?38.5 m) under a temperate/cool and wet climate, characterized by mud and silt with fine sand, probably indicating a stable process of denudation and planation of the plateau. Above the depth of 38.5 m (about 0.8?0 Ma), the coarsening of sediments indicates a strong tectonic uplift and a relatively low intensity of chemical weathering as supported by the record of sediments having relatively low Sr concentrations and high Rb/Sr and Zr/Rb ratios. Since then, the plateau has taken the shape of the modern topographic pattern above 4000 m a.s.l. 展开更多
关键词 Qinghai-Tibet Plateau Co Ngoin RB/SR Zr/Rb δ 13C TOC environmental evolution
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Raman spectra of single cell from gastrointestinal cancer patients 被引量:10
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作者 Xun-LingYan Rui-XinDong +2 位作者 LeiZhang Xue-JunZhang Zong-WangZhang 《World Journal of Gastroenterology》 SCIE CAS CSCD 2005年第21期3290-3292,共3页
AIM: To explore the difference between cancer cells and normal cells, we investigated the Raman spectra of singlecells from gastrointestinal cancer patients. METHODS: All samples were obtained from 30 diagnosed as gas... AIM: To explore the difference between cancer cells and normal cells, we investigated the Raman spectra of singlecells from gastrointestinal cancer patients. METHODS: All samples were obtained from 30 diagnosed as gastrointestinal cancer patients. The flesh tumor specimen is located in the center of tumor tissue, while the normal ones were 5 cm away from the outside tumor section. The imprint was put under the microscope and a single cell was chosen for Raman measurement. All spectra were collected at confocal Raman micro-spectroscopy (British Renishaw) with NIR 780 nm laser.RESULTS: We measured the Raman spectra of several cells from gastrointestinal cancer patients. The result shows that there exists the strong line at 1 002/cm with less half-width assigned to the phenylalanine in several cells. The Raman lines of white cell were lower and less, while those of red cell were not only higher in intensity and more abundant, but also had a parti cular C-N breathing stretching band of pyrrole ring at 1 620-1 540/cm. The line at 1 084/cm assigned to phosphate backbone of DNA became obviously weaker in cancer cell. The Raman spectra of stomach cancer cells were similar to those of normal cells, but the Raman intensity of cancer cells was much lower than that of normal cells, and even some lines disappear. The lines of enteric cancer cells became weaker than spectra above and many lines disappeared, and the cancer cells in different position had different fluorescence intensity.CONCLUSION: The Raman spectra of several cells from cancer patients show that the structural changes of cancer cells happen and many bonds rupture so that the biological function of cells are lost. The results indicate that Raman spectra can offer the experiment basis for the cancer diagnosis and treatment. 展开更多
关键词 Raman spectra Gastrointestinal cancer
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Synthesis and Structure of a Two-dimensional Double Chain Iron(Ⅱ) L-Trp Coordination Polymer [Fe(L-trp)_2(HL-trp)_2]_n 被引量:6
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作者 WANG Jian XU Xing-You +5 位作者 MA Wei-Xing XU Rui-Bo TONG Yu-Ping LU Lu-De YANG Xu-Jie WANG Da-Qi 《Chinese Journal of Structural Chemistry》 SCIE CAS CSCD 北大核心 2008年第2期153-158,共6页
The title complex [Fe(L-trp)2(HL-trp)2]n (L-trp = L-tryptohan or 2-amino-3-(1H -indol-3-yl)-propanoic acid) has been formed by a hydrothermal method involving hexaaquacobaltous perchlorate and L-tryptophan. Th... The title complex [Fe(L-trp)2(HL-trp)2]n (L-trp = L-tryptohan or 2-amino-3-(1H -indol-3-yl)-propanoic acid) has been formed by a hydrothermal method involving hexaaquacobaltous perchlorate and L-tryptophan. The product was characterized by elemental analysis, IR spectra and single-crystal X-ray diffraction. The crystal belongs to the monoclinic system, space group P211c, with a = 19.828(3), b = 5.4233(14), c = 9.2796(16) A, β= 97.691(2)°, V = 988.9(3) A3, Z = 2, Mr = 462.29, Dx = 1.553 g/cm3, F(000) = 480,/a = 0.802 mm^-1, the final R = 0.0399 and wR = 0.0930 for 1738 observed reflections with I 〉 2σ(/). The structural analysis shows that the complex assumes a two-dimensional double chain plane structure. 展开更多
关键词 crystal structure Fe(Ⅱ) complex L-TRYPTOPHAN polymer SYNTHESIS
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Some Special Types of Solitary Wave Solutions for (3+1)-Dimensional Jimbo-MiwaEquation 被引量:3
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作者 BAICheng-Lin ZHAOHong 《Communications in Theoretical Physics》 SCIE CAS CSCD 2004年第6期875-877,共3页
Using the extended homogeneous balance method, we find some special types of single solitary wave solution and new types of the multisoliton solutions of the (3+1)-dimensional Jimbo-Miwa equation.
关键词 (3+1)-dimensional Jimbo-Miwa equation extended homogeneous balance method soliton solutions
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Baeicklund Transformation and Multiple Soliton Solutions for (3+1)-Dimensional Potential-YTSF Equation 被引量:2
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作者 BAICheng-Lin LIUXi-Qiang ZHAOHong 《Communications in Theoretical Physics》 SCIE CAS CSCD 2004年第6X期827-830,共4页
We study an approach to constructing multiple soliton solutions of the (3+1)-dimensional nonlinear evolution equation. We take the (3+1)-dimensional potential- YTSF equation as an example. Using the extended homogeneo... We study an approach to constructing multiple soliton solutions of the (3+1)-dimensional nonlinear evolution equation. We take the (3+1)-dimensional potential- YTSF equation as an example. Using the extended homogeneous balance method, one can find a Backlund transformation to decompose the (3+1)-dimensional potential-YTSF equation into a set of partial differential equations. Starting from these partial differential equations, some multiple soliton solutions for the (3+1)-dimensional potential-YTSF equation are obtained by introducing a class of formal solutions. 展开更多
关键词 孤波解 奇次平衡展开法 YTSF势能方程 非线性偏微分
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Ecological functions of ciliated protozoa in marine ecosystem:effects on accumulation of ambient ammonia 被引量:4
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作者 XuHenglong SongWeibo +3 位作者 ZhuMingzhuang WangMei MaHonggang HuXiaozhong 《High Technology Letters》 EI CAS 2005年第1期101-106,共6页
Effects of ciliated protozoa, Euplotes vannus and Uronema marinum, on accumulation of ammonia in marine waters are detected using experimental ecological method, in order to reveal the contributions and functions of c... Effects of ciliated protozoa, Euplotes vannus and Uronema marinum, on accumulation of ammonia in marine waters are detected using experimental ecological method, in order to reveal the contributions and functions of ciliates to the marine ecosystem. During experiments, the concentrations of ammonia-N, and the densities of ciliates and bacteria are measured. The results reveal that ciliates can change the procedure of ammonia accumulation by their grazing activity, and maintain ambient ammonium at low levels through interrupting the stationary phase of bacteria population growth and enhancing their growth and metabolism. The present work confirms that ciliates, as bacteria-predators, play positive roles in maintaining and improving water quality in marine ecosystems, especially in intensive mariculture biotopes. 展开更多
关键词 海洋生物养殖 生态系统 分解代谢作用 蛋白质 毒性 细胞
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Distribution of Sediment Chloroplastic Pigments in the Southern Yellow Sea,China 被引量:2
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作者 LIUXiaoshou ZHANGZhinan +2 位作者 WUYiping HUANGYong ZHANGYan 《Journal of Ocean University of China》 SCIE CAS 2005年第2期163-172,共10页
The distribution of sediment chloroplastic pigments (Chl-a, i.e. chlorophylla and Pha-a, i.e. phaeophorbide a) in the Southern Yellow Sea of China was studied. Samples werecollected from four cruises in January and Ju... The distribution of sediment chloroplastic pigments (Chl-a, i.e. chlorophylla and Pha-a, i.e. phaeophorbide a) in the Southern Yellow Sea of China was studied. Samples werecollected from four cruises in January and June 2003, and January and June 2004. The results showthat the vertical distribution of Chl-a and Pha-a in the sediment layers 0-2cm, 2-5cm and 5-8cm,follows a stable ratio, 5:3:2. The average ratio of Pha-a to Chl-a in sediment is 2.83. Spearman2-tailed rank correlation analysis shows that Chl-a and Pha-a contents in each sediment layer have ahighly significant correlation. The average contents of Chl-a and Pha-a in the sediment of the0-8cm layer in the investigated area are 0.31-0.47 μg g^(-1) and 1.28-1.40 μg g^(-1) sediment (dryweight), respectively. The average Chl-a and Pha-a contents in sediment are higher in summer thanin winter. ANOVA analysis shows that there is a highly significant variation among the Chl-acontents (P = 0.002 【 0.01) of the four cruies, but this is not true for the case of Pha-a content(P = 0.766 】0.05). The average Chl-a and Pha-a contents in the 2 sediment layers (0-2cm and 2-5cm)have significant or highly significant correlations with organic matter (OM), median diameter(Md_φ), silt plus clay percentage in the January 2003 cruise. In the June 2003 cruise, the averageChl-a content in the 3 sediment layers (0-2cm, 2-5cm, and 5-8cm) has a significant correlation withmeiofauna biomass, and Pha-a content has highly significant correlations with water depth, bottomwater temperature, OM and Md_φ. The contents of Chl-a and Pha-a are lower than those in estuariesand intertidal areas, but close to those in the same area studied previously. 展开更多
关键词 Southern Yellow Sea SEDIMENT chlorophyll a phaeophorbide a DISTRIBUTION
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Periodic Wave Solutions to Dispersive Long-Wave Equations in (2+1)-Dimensional Space 被引量:1
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作者 TIANYing-Hui CHENHan-Lin LIUXi-Qiang 《Communications in Theoretical Physics》 SCIE CAS CSCD 2005年第1X期8-10,共3页
Periodic wave solutions to the dispersive long-wave equations are obtained by using the F-expansion method, which can be thought of as a generalization of the Jacobi elliptic function method. In the limit case, solita... Periodic wave solutions to the dispersive long-wave equations are obtained by using the F-expansion method, which can be thought of as a generalization of the Jacobi elliptic function method. In the limit case, solitary wave solutions are obtained as well. 展开更多
关键词 分散长波方程 F扩展法 周期波 雅各比椭圆方程 孤波方程
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On an Auto-Baecklund Transformation for (2+1)-Dimensional VariableCoefficient Generalized KP Equations and Exact Solutions 被引量:1
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作者 BAICheng-Jie BAICheng-Lin +1 位作者 HANJi-Guang ZHAOHong 《Communications in Theoretical Physics》 SCIE CAS CSCD 2005年第4期677-680,共4页
By the application of the extended homogeneous balance method, we derive anauto-Backlund transformation (BT) for (2+1)-dimensional variable coefficient generalized KPequations. Based on the BT, in which there are two ... By the application of the extended homogeneous balance method, we derive anauto-Backlund transformation (BT) for (2+1)-dimensional variable coefficient generalized KPequations. Based on the BT, in which there are two homogeneity equations to be solved, we obtainsome exact solutions containing single solitary waves. 展开更多
关键词 extended homogeneous balance method (2+1)-dimensional variable coefficientgeneralized KP equation auto-Baecklund transformation exact solutions
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One-dimensional Chain Dibenzo-18-crown-6 Complex: [K(DB18-C-6)]_2[Pt(SCN)_6]·2H_2O·C_2H_4Cl_2 Assembled by Cation-π Interactions 被引量:1
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作者 ZHUYue-hua DUMao-xi +2 位作者 LIDa-cheng WANGDa-qi DOUJian-min 《Chemical Research in Chinese Universities》 SCIE CAS CSCD 2005年第1期123-126,共4页
关键词 One-dimensional chain Crown ether complex Cation-π interactions Synthesis and crystal structure
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Molecular Cloning and Identification of a Heat Shock Cognate Protein 70 Gene, Thhsc70, in Thellungiella halophila 被引量:2
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作者 ZHANGXia GUOShan-Li +3 位作者 YINHai-Bo XIONGDong-Jin ZHANGHui ZHAOYan-Xiu 《Acta Botanica Sinica》 CSCD 2004年第10期1212-1219,共8页
Heat shock cognate proteins 70 (hsp70s) act as molecular chaperones. Some hsp70s are also expressed in unstressed plants, known as hsc70. To gain further knowledge about the hsc70, the Thellungiella halophila hsc70 (T... Heat shock cognate proteins 70 (hsp70s) act as molecular chaperones. Some hsp70s are also expressed in unstressed plants, known as hsc70. To gain further knowledge about the hsc70, the Thellungiella halophila hsc70 (Thhsc70) gene that encoded the cytosolic hsc70 in salt cress (T.halophila (C.A.Mey.) O.E.Schulz) was identified. In unstressed plants the expression of Thhsc70was shown to be tissue-specific. The Thhsc70 gene was induced by heat and cold stresses, but almost not by salt and drought stresses. Overexpression of Thhsc7Ocould increase thermctolerance and chilling tolerance in transgenic Arabidopsis plants. 展开更多
关键词 热休克相关蛋白70 基因 分子克隆 热应激 植物
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Syntheses and Crystal Structures of Two VO(IV) Schiff Base Complexes with Oxyammonia Ligand 被引量:1
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作者 LILian-Zhi XUTao WANGDa-Qi NIUMei-Ju JIHai-Wei 《Chinese Journal of Structural Chemistry》 SCIE CAS CSCD 北大核心 2004年第8期865-869,共5页
Two novel VO(IV) Schiff base complexes, VO(SALHA)2[SALHA: salicyaldehyde- oxyammonia] and VO(o-VANHA)2 [o-VANHA: o-vanillin-oxyammonia], have been synthesized with salicyaldehyde or o-vanilline, hydroxylammonium chlor... Two novel VO(IV) Schiff base complexes, VO(SALHA)2[SALHA: salicyaldehyde- oxyammonia] and VO(o-VANHA)2 [o-VANHA: o-vanillin-oxyammonia], have been synthesized with salicyaldehyde or o-vanilline, hydroxylammonium chloride and vanadyl sulfate in absolute methanol, and their crystal structures were determined by single-crystal X-ray diffraction. The vanadium(IV) centers in both complexes are five-coordinate in a distorted square pyramidal geometry. VO(SALHA)2 (C14H12N2O5V, Mr = 339.20) crystallizes in the monoclinic system, space group P21/n with a = 14.716(9), b = 7.175(5), c = 14.716(9) ? b = 113.130(7), V = 1428.8(15) 3, Z = 4, Dc = 1.577 g/cm3, l = 0.71073 ? m(MoKa) = 0.720 mm-1, F(000) = 692, the final R = 0.0466 and wR = 0.0829 for 1561 observed reflections (I > 2s(I)). VO(o-VANHA)2 (C16H16N2O7V, Mr = 399.25) is of monoclinic, space group P21/n with a = 11.386(12), b = 10.405(10), c = 14.627(15) , b = 93.654(19), V = 1729(3) 3, Z = 4, Dc = 1.533 g/cm3, l = 0.71073 , m(MoKa) = 0.615 mm-1, F(000) = 820, the final R = 0.0513 and wR = 0.1129 for 1235 observed reflections (I > 2s(I)). 展开更多
关键词 vanadium complex Schiff base crystal structure
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Controlling dipole squeezing of two atoms inside a cavity via manipulating an atom outside the cavity 被引量:9
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作者 刘堂昆 王继锁 +1 位作者 冯健 詹明生 《Chinese Physics B》 SCIE EI CAS CSCD 2004年第4期497-500,共4页
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A Passively Mode-Locked Diode-End-Pumped Nd:YAG Laser with a Semiconductor Saturable Absorber Mirror Grown by Metal Organic Chemical Vapour Deposition 被引量:3
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作者 张志刚 王勇刚 +3 位作者 马骁宇 李春勇 张治国 张丙元 《Chinese Physics Letters》 SCIE CAS CSCD 2003年第11期1960-1962,共3页
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Entropy evolution properties in a system of two entangled atoms interacting with light field 被引量:3
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作者 刘堂昆 王继锁 +1 位作者 冯健 詹明生 《Chinese Physics B》 SCIE EI CAS CSCD 2005年第3期536-540,共5页
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A New Modified Extended Tanh-Function Method and Its Application
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作者 BAICheng-Lin ZHAOHong 《Communications in Theoretical Physics》 SCIE CAS CSCD 2004年第2X期189-192,共4页
In this paper, a new modified extended tanh-function method is presented for constructing soliton-like,periodic form solutions of nonlinear evolution equation (NEEs). This method is more powerful than the extended tan... In this paper, a new modified extended tanh-function method is presented for constructing soliton-like,periodic form solutions of nonlinear evolution equation (NEEs). This method is more powerful than the extended tanhfunction method [Phys. Lett. A277 (2000) 212] and the moditied extended tanh-function method [Phys. Lett. A285(2001) 355]. Abundant new solutions of two physically important NEEs are obtained by using this method and symbolic computation system Maple. 展开更多
关键词 改进型双曲正切函数 类孤立子解 周期解 非线性展开方程 李群对称 数学物理方法
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Abundant Multisoliton Structure of (3+1)-Dimensional Breaking Soliton Equation
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作者 ZHAOHong BAICheng-Lin 《Communications in Theoretical Physics》 SCIE CAS CSCD 2004年第4X期561-564,共4页
Using the extended homogeneous balance method, we obtained abundant exact solution structures of the (3+ 1 )-dimensional breaking soliton equation. By means of the leading order term analysis, the nonlinear transforma... Using the extended homogeneous balance method, we obtained abundant exact solution structures of the (3+ 1 )-dimensional breaking soliton equation. By means of the leading order term analysis, the nonlinear transformations of the (3t1)-dimensional breaking soliton equation are given first, and then some special types of single solitary wave solutions and the multisoliton solutions are constructed. 展开更多
关键词 孤立子解 孤立子方程 扩展均匀平衡理论 非线性偏微分方程 数学物理方法
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