Sm（Ⅲ）-Bi（Ⅲ） Heterometallic Complexes with Aminopolycarboxylate Ligand： Structure, Thermal Stability and Spectral Property

Samnium（Ⅲ）-bismuth（Ⅲ） heterobimetallic complexes, SmBi（edta）（NO3）2·7H2O （1） and SmBi（dtpa）（NO3）·3.5H2O（2） （edta=ethylenediaminetetraacetate, dtpa=diethylenetriaminepentaacetate）, were synthesized and characterized by means of X-ray single crystal diffraction, X-ray powder diffraction, elemental analysis, ICP, FT-IR spectra and thermal analysis. The structure analysis revealed that 1 is in crystalline and 2 is in non-crystal state. Complex 1 crystallizes in monoclinic, space group P2（1）/n with a= 1.2622（2） nm, b=0.81157（15） nm, c=2.3634（5） nm, β= 105.340（2）°, V=2.3347（8） nm3, Z=4, Dc=2.563 gocm^-3,μ=10.125 mm-1. Bridging edta4 anions between Bi（Ⅲ） atoms and Sm（Ⅲ） atoms result into infinite 3D network structure. Thermal decomposition of the two complexes proceeds in similar stages, i.e., dehydration, pyrolysis of ligand, and decomposition of salt, and the final residue is oxide. In addition, the spectral properties have been studied through FL spectra and UV-Vis DRS. The two complexes exhibit one broad band Bi 6s6p-6s2 emission under UV excitation and the characteristic Sm3＋ ion 4G5/2→6Hj/2 （J= 5, 7, 9, 11） transitions under visible light excitation, respectively.

Spectral Analysis of Nonlinear Drag Forces

The spectral properties of nonlinear drag forces of random waves on vertical circular cylinders are analyzed in this paper by means of nonlinear spectral analysis. The analysis provides basic parameters for estimation of the characteristic drag forces. Numerical computation is also performed for the investigation of the effects of nonlinearity of the drag forces. The results indicate that the wave drag forces calculated by linear wave theory are larger than those calculated by the third order Stokes wave theory for given waves. The difference between them increases with wave height. The wave drag forces calculated by use of linear approximation are about 5% smaller than their actual values when measured in the peak values of spectral densities. This will result in a safety problem for the design of offshore structures. Therefore, the nonlinear effect of wave drag forces should be taken into consideration in design and application of important offshore structures.

Crystal growth,spectral properties and Judd-Ofelt analysis of Pr:CaF_(2)-YF_(3)

The 0.6 at.%Pr^(3+)-doped CaF_(2)-YF_(3)crystal was successfully grown by the temperature gradient technique(TGT).X-ray diffraction analysis showed that the grown crystal still had cubic structure.The absorption spectrum,emission spectrum,Judd-Ofelt analysis and fluorescence decay curve at room temperature were discussed.The fluorescence lifetime of Pr:CaF_(2)-YF_(3)crystal was 45.46µs,and theσem·τof ^(3)P0→^(3)H_(6) and ^(3)P0→^(3)F_(2) transitions were calculated to be 80.92×10^(−20) cm^(2)·µs and 388.7×10^(−20) cm^(2)·µs,respectively.The FWHMs are 20.1 nm and 6.8 nm,which are higher than those of Pr:LiYF_(4),Pr:LiLuF_(4),Pr:LiGdF_(4) and Pr:BaY_(2)F_(8) crystals.The results show that the Pr:CaF_(2)-YF_(3)crystal is expected to achieve 605 nm orange light and 642 nm red light laser operation.

Exactly Solvable Two-Parameter Models of Relativistic δ′s -Sphere Interactions in Quantum Mechanics

We make a systematic study of two-parameter models of δ ′ s -sphere interaction and δ ′ s -sphere plus a Coulomb interaction. Where δ ′ s interaction denotes the δ ′ -sphere interaction of the second kind. We provide the mathematical definitions of Hamiltonians and obtain new results for both models, in particular the resolvents equations, spectral properties and some scattering quantities.

Spectral properties of Ce^(3+) doped yttrium lanthanum oxide transparent ceramics

Ce3＋-doped yttrium lanthanum oxide （Y0.9La0.1）2O3 transparent ceramics is fabricated with nanopowders and sintered in H2 atmosphere. The spectral properties of Ce：（Y0.9La0.1）2O3 transparent ceramics are investigated. There appear two characteristic absorption peaks of Ce3＋ ions at 230~nm and 400~nm, separately. It is found that Ce3＋ ions can efficiently produce emission at 384~nm from （Y0.9La0.1）2O3 transparent ceramic host, while the emission is completely quenched in Re2O3 （Re=Y, Lu, La） host materials.

Crystal Growth and Spectral Properties of Yb^(3+)∶KY(WO_4)_2

Laser crystal Yb：KYW was grown by the Kyropoulos method. A grown crystal was identified as β-Yb：KYW by XRD. By TG-DTA the melting point and transition point of the crystal are 1045 and 1010 ℃, respectively. Infrared spectrum and Raman speetrum were measured, and the vibrational frequencies of infrared and Raman active modes for Yb：KYW crystal were assigned. Absorption spectrum of Yb：KYW shows that there are two intensive absorption peaks at 940 and 980 nm, respectively, and the absorption cross section is 1.34 × 10^- 19 cm^2 at chief peak of 980 nm. There exist three intensive emission peaks in Yb：KYW at 990, 1010 and 1030 nm, respectively, and the emission line width of the chief peak 1030 nm runs up to 16 nm. It was calculated that the peak emission cross section is 3.1 × 10^-20 cm^2 at 1030 nm.

Synthesis,Structure and Spectral Properties of a Novel Triaryl Substituted Triazole and Its Co(Ⅱ) Complex

The new compound 3-（2-pyridyl）-4-（p-methoxyphenyl）-5-（2-thienyl）-1,2,4-triazole L was synthesized and characterized by elemental analysis,IR,1H NMR,13C NMR,MS,UV and photoluminescent spectra.The complex CoL2（NCS）2 was prepared by the reaction of ligand L with Co（SCN）2,and its structure was characterized by single-crystal X-ray diffraction,IR,UV,elemental analysis and MS.The complex crystallizes in monoclinic,space group P21/n with a=13.7639（19）,b=7.6641（11）,c=18.409（3）,β=101.549（3）o,V = 1902.6（5） 3,Z=2,C38H28CoN10O2S4,Mr=843.87,Dc=1.473 g/cm3,μ=0.720 mm-1,S=1.075,F（000）=866.0,the final R=0.0825 and wR=0.2149 for 2566 observed reflections（I2σ（I））.In the crystal structure,the cobalt atom adopts a distorted octahedral environment with two NCS-ions in the axial positions and two bidentate chelating L ligands in the equatorial plane.The extended 2D network of the complex is formed by intermolecular C–H…N hydrogen bonds together with π-π stacking interactions.

Spectral and Lasing Properties of Er^(3+0/Yb^(3+) Co-Doped Phosphate Glasses Pumped by LD

Er^3 ＋/Yb^3 ＋ phosphate glasses were fabricated. According to McCumber theory, the stimulated emission cross-section of Er^3＋ ions at 1533 nm was calculated on the basis of absorption spectrum, and 0.84 × 10^-20 cm^2 is derived, the fluorescence lifetime of ^4I13/2 level is 8.5 ms. An Er^3＋/Yb^3＋ co-doped phosphate glass CW laser pumped by LD was demonstrated at room temperature. The maximum output power is 80 mW and slope efficiency is 16.5%.

Synthesis and Spectral Properties of Mixed-Ligand Complexes of Lanthanide Perchlorate with Bis-(phenylsulfinyl)ethane and Organic Lewis Bases

Six lanthanide complexes with bis(phenylsulfinyl)ethane(bphse) and organic bases(phen: 1,10 phenanthroline and bipy: 2,2'-bipyridine) were synthesized and characterized by elemental analysis, conductance and spectral (IR, UV Visible) data. The complexes were Ln(bphse) 2(bipy)(ClO 4) 3· n H 2O and Ln 2(bphse) 3(phen) 2(ClO 4) 6·H 2O(where Ln=Nd, Eu and Gd; n =0～2). IR spectral data confirmed that the lanthanide ions were coordinated by oxygen atoms from bphse and nitrogen atoms from phen or bipy. Exitation and emission spectra of Eu complexes were measured and discussed.

Novel Heptamethine 3H-Indocyanines and their Spectral Properties

Novel heptamethine 3H-indocyanine dyes are synthesized and embedded into a matrix of silica gel derived from tetraethoxysilicane. The photophysical properties of these near infrared dyes in various solvents and in SiO2 sol gel were investigated. The results show that the dyes containing cyclohexenylene bridge and N-(p-carboxy)benzyl groups have better photostability and longer absorption wavelength than those containing linear heptamethine bridge and/or N-(5- carboxy)pentanyl groups. The absorption maxima of these dyes are in reverse proportion to the polarity of the solvents. The microenvironment of the dyes in SiO2 sol-gel characters medium polarity (between methanol and DMF) according to the absorption maxima.

Spectral and laser properties of Yb and Ho co-doped(YLa)_2O_3 transparent ceramic

Highly transparent Yb,Ho doped（YLa）2O3 ceramic was fabricated by conventional ceramic processing with nanopowders.The absorption and emission spectra of the ceramic was investigated.The energy transfer mechanism between Yb3＋ and Ho3＋ was also discussed.The strong emission band around 2 μm indicated that the Yb-Ho：（Y 0.90 La 0.10）2O3 transparent ceramic is a promising gain medium for the generation of 2 μm laser emissions.The laser operation of Yb-Ho co-doped（YLa）2O3 ceramic at 2.1 μm is first reported.

Spectral properties and geometric interpretation of R-filters

By applying the Fourier analysis, we study the spectral properties of R- filters. Further, we prove that R-filters are a generalization of least squares polynomial adjustment, and we give the geometric interpretation of R-filters.

Growth and Spectral Characterization of Nd^(3+):Sr_(0.7)Ca_(0.3)_3Y(BO_3)_3 Crystal

A Nd3＋：（Sr0.7Ca0.3）3Y（BO3）3 crystal with dimensions of Ф17×23 mm3 has been grown by the Czochralski method. The spectroscopic characterization of Nd3＋：（Sr0.7Cao.3）aY（BO3）3 crystal was investigated. The polarized absorption cross-sections of Nda＋：（Sr0.7Ca0.3）aY（BO3）3 crystal are 2.81×10-20 cm2 with full width at half maximum （FWHM） of 14 nrn at 808 nm for σ-polarization and 2.04×10-20 cm2 with FWHM of 19 nm at 807 nm for 7r-polarization, respectively. The polarized emission cross-sections of Nd3＋（Sr0.7Ca0.3）3Y（BO3）3 crystal are 12.2× 10.20 cm2 at 1062 nm for the π-polarization and 13.6×10-20 crn2 at 1061 nm for the a-polarization, respectively. After the Ca2＋ ion partly substitutes for Sr2＋ ion in the Sr3Y（BO3）3 crystal to form the （Sr0.7Ca0.3）3Y（BO3）3 solid solution, it can improve the quantum efficiency η of Nd3＋：（Sr0.7TCa0.3）3Y（BO3）3 crystal. The quantum efficiency is 31.7%. These results may be regarded Nd3＋：（Sr0.7Ca0.3）3Y（BO3）3 crystal as a potential solid-state laser material.

Growth and Spectral Properties of Nd^(3+) Doped KLa(MoO_4)_2 Crystal

Nd^3＋ doped KLa（MoO4）2 single crystal with the size up to Ф25 × 40 mm^3 was grown by the Czochralski technique. The absorption and luminescence spectra of trivalent neodymium in KLa（MoO4）2 crystal were investigated at room temperature. The absorption and emission cross 10-20 sections are 3.02 ×10^-20 cm^2 at 808 nm and 20.01 × 10^-2 cm^2 at 1061 nm, respectively. The fluorescence lifetime is 164μs at room temperature.

Synthesis and Crystal Structure of a Ni(Ⅱ) Complex of 2'-[4-N,N'-(Dimethylaminobenzyl- idene)]-3,5-dihydroxybenzoylhydrazide and Its Spectral Properties

A new nickel（II） complex [NiL2]（DMF）4 （HL = 2＇-[4-N,N＇-（dimethylamino- benzylidene）]-3,5-dihydroxybenzoylhydrazide） has been synthesized and its structure was characterized by IR,UV-Vis,1H NMR and elemental analysis. The fluorescence emission mechanism of the complex was discussed by fluorimetric spectra. The single-crystal structure was determined by X-ray diffraction analysis. The crystal belongs to the triclinic system,space group P1 with a = 0.9918（4）,b = 1.1297（4）,c = 1.1331（4） nm,α = 76.860（7）,β = 75.105（6）,γ = 89.022（7）°,V = 1.1936（8） nm^3,Z = 1,μ = 0.472 mm^-1,Dc = 1.319 g/cm^3,F（000） = 502 and Rint = 0.0913. In the title compound,the nickel（II） atom is four-coordinated with two nitrogen atoms from amide and two oxygen atoms from keto group. The complex is centrosymmetric with nickel located at the center.

Crystal Structure, DFT Calculation and Photophysical Studies of a Schiff Base

A Schiff base DSH （DSH = （4-dipropylanilino-styryl） hydrazine） has been synthe- sized and fully characterized by 1H NMR, 13C NMR, ESI-MS, elemental analysis and single-crystal X-ray diffraction analysis. It crystallizes in triclinic, space group Pi, with a = 8.447（5）, b = 10.543（5）, c = 14.540（5） A, a = 78.600（5）, β = 78.222（5）, y = 78.247（5）, V= 1225（1） A3, Z = 2, D,. -- 1.103 g/m3, F（000） = 444, Mr = 406.60, μ= 0.066 mm, the final R = 0.0414 and wR = 0.1065 for 8691 observed reflections with I 〉 2（/）. The structural analysis revealed that the molecule possesses good planar structure. The absorption spectra and one-photon fluorescence in different solvents were experimentally studied. The result indicates that the compound exhibits intense fluorescent emission bands in protic solvents, such as ethanol and methanol. Quantum chemical calculations based on time-dependent density functional theory （TD-DFT） at the level of TD-DFT/B3LYP/6-31G were performed to investigate the UV absorption spectrum, and influence of solvents on the fluorescence spectra is analyzed based on the optimized structure at the level of B3LYP/6-31G（d）.

Investigation on Structures and Properties of Yb^(3+)-Doped Laser Glasses

The Yb3^＋ -doped silicate, phosphate and borophosphate laser glasses were prepared by means of conventional melt quenching technology. The physical and spectral properties of the glasses were investigated. The results show that, due to the existence of OH^-, the fluorescence lifetime of phosphate glass is shorter than that of silicate glass, so silicate glass has better spectral properties than phosphate glass. Silicate glass has better mechanical and thermal properties than phosphate glass, but with the addition of B2O3, mechanical and thermal properties of phosphate glass are improved greatly without fluorescence quenching effect. This kind of borophosphate glass can be used in high average power solid state lasers.

Synthesis,Crystal Structure and Properties of Complex VO(C_(12)H_(12)N_2O_2)(C_(13)H_(10)NO_2)

Complex VO(C\-\{12\}H\-\{12\}N\-2O\-2)(C\-\{13\}H\-\{10\}NO\-2)(C\-\{12\}H\-\{12\}N\-2O\+\{\{\}\+\{2-\}\}\-2=acetylacetone benzoylhydrozanate,C\-\{13\}H\-\{10\}NO\+_\-2=\%N\%\|phenylbenzohydroxamate) was synthesized and characterized by means of elemental analysis,IR and UV spectroscopies,cyclic voltammetry and single crystal X\|ray diffraction. The complex crystallized in the monoclinic system with space group \%P\%2\-1/\%n\% and the crystal cell parameters \%a\%=1\^3003(1) nm,\%b\%=0\^88836(6) nm,\%c\%=2\^0196(2) nm,\%β\%=95\^065(8)°,\%V\%=2\^3238(3) nm\+3,\%M\%\-r=495\^40 and \%Z\%=4. The two oxygen and one nitrogen atoms of the tridentate hydrazone ligand coordinate to the vanadium atom,forming an equatorial plane. And the coordinated vanadium atom exhibits a distorted octahedral geometry. The atom in the transposition to the oxo O atom is the carbonyl oxygen atom of the hydroxamate ligand in the complex. The half\|wave redox potential of the title complex in the three different solvents positively shifts in the order of CH\-2Cl\-2<CH\-3CN<DMF.

Synthesis, Crystal Structure and Properties of Complex VO(C_(10)H_9NO_3)(C_(13)H_(10)NO_2)

Complex VO(C 10H 9NO 3)(C 13H 10NO 2)(C 10H 9NO 2- 3=N-salicylidene-L-alaninate, C 13H 10NO- 2=N-phenylbenzohydroxamate) was synthesized and characterized by means of elemental analysis, IR, UV, 1H NMR spectroscopies, cyclic voltammetry and single crystal X-ray diffraction. The complex crystallized in a monoclinic system with space group P2 1 and crystal cell parameters a=0.9720(1) nm, b=1.8274(2) nm, c=1.2542(1) nm, β=104.868(9)°, V=2.1532(4) nm3, M r=470.34, Z=2. The two oxygen atoms and the one nitrogen atom of the tridentate Schiff base ligand and the one oxime oxygen atom of the hydroxamate ligand coordinate to the vanadium atom, forming an equatorial plane, the two axial positions are respectively occupied by the oxygen atom of the oxovanadium and the carbonyl oxygen atom of the hydroxamate and the vanadium atom exhibits a distorted octahedral VO(ONO)(OO) coordination sphere. The 1H NMR spectrum suggests that the two isomers, endo and exo in a molar ratio of 1/1.7, coexist in the solution of the title complex in CDCl 3. There exists a quasi-reversible one-electron redox reaction corresponding to VⅤ/VⅥ couple in the three non-aqueous solvents, and the redox potential E 1/2 of the title complex substantially shifts in the direction of the positive voltage increase in the order: CH 2Cl 2<CH 3CN<DMF.

UNIVERSAL INTERPOLATING SEQUENCES ON SPACES OF ANALYTIC FUNCTIONS

This article derives the relation between universal interpolating sequences and some spectral properties of the multiplication operator by the independent variable z in case the underlying space is a Hilbert space of functions analytic on the open unit disk.