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Photoluminescence and Ce^(3+)→Tb^(3+)→Eu^(3+) Energy Transfer Processes of the Ce^(3+)/Tb^(3+)/Eu^(3+)-doped β-NaYF_(4) Phosphors with Broadened Excitation Spectrum 被引量:3
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作者 HUANG Jianhua CHEN Nan +2 位作者 WANG Xiaojing DU Guoping ZHANG Aisheng 《Journal of Wuhan University of Technology(Materials Science)》 SCIE EI CAS 2021年第1期33-43,共11页
Ce^(3+)/Tb^(3+) co-doped and Ce^(3+)/Tb^(3+)/Eu^(3+) tri-doped β-NaYF_(4) photoluminescent microcrystals using oleic acid as surfactant were synthesized using the solvothermal method.Their microstructural characteris... Ce^(3+)/Tb^(3+) co-doped and Ce^(3+)/Tb^(3+)/Eu^(3+) tri-doped β-NaYF_(4) photoluminescent microcrystals using oleic acid as surfactant were synthesized using the solvothermal method.Their microstructural characteristics and photoluminescence properties were investigated in detail.They have the shape of hexagonal prism bipyramids with uniform particle size,which decreases with the concentrations of Tb^(3+) and Eu^(3+).The energy transfer processes of both the Ce^(3+)→Tb^(3+) and the Ce^(3+)→Tb^(3+)→Eu^(3+) were systematically studied.Compared with Eu^(3+) or Tb^(3+) single-doped β-NaYF_(4) microcrystals,the sensitization by Ce^(3+) for the photoluminescence of Tb^(3+) and Eu^(3+) leads to a broad excitation spectral bandwidth in the ultraviolet (UV) range.Meanwhile,the corresponding optical absorption efficiency is greatly enhanced.High energy transfer efficiencies have been observed from Ce^(3+) to Tb^(3+) and from Tb^(3+) to Eu^(3+). 展开更多
关键词 lanthanide dopedβ-NaYF_(4) PHOTOLUMINESCENCE energy transfer broad excitation spectrum solvothermal method
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Study on VUV and UV Excitation Spectrum of GdVO_4∶Eu^( 3+) 被引量:1
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作者 张庆礼 郑丽秋 +3 位作者 郭常新 施朝淑 魏亚光 戚泽明 《Journal of Rare Earths》 SCIE EI CAS CSCD 2001年第3期168-171,共4页
The photoluminescence spectra and excitation spectra in the vacuum ultraviolet (VUV) and ultraviolet (UV) spectra region of GdVO 4∶Eu 3+ were reported. The excitation and emission spectra indicate that GdVO 4... The photoluminescence spectra and excitation spectra in the vacuum ultraviolet (VUV) and ultraviolet (UV) spectra region of GdVO 4∶Eu 3+ were reported. The excitation and emission spectra indicate that GdVO 4∶Eu 3+ is a highly efficient phosphor for the excitation in the VUV and UV spectrum region. The excitation band in the VUV and UV spectrum region of 60~350 nm consists mainly of the absorption of host, which has obvious absorption of 4f n-1 5d of Eu 3+ and Gd 3+ . In GdVO 4∶Eu 3+ , there is the energy transfer: VO 4 3- →Eu 3+ , Gd 3+ →Eu 3+ and Gd 3+ →VO 4 3- →Eu 3+ . Through the last two procedures, maybe the quantum cutting of Gd 3+ -Eu 3+ occurs. 展开更多
关键词 rare earths GdVO 4∶Eu 3+ VUV-UV excitation spectrum energy transfer
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Energy Spectrum of Ground State and Excitation Spectrum of Quasi-particle for Hard-Core Boson in Optical Lattices
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作者 HAN Jiu-Rong ZHANG Hai-Chao WANG Yu-Zhu 《Communications in Theoretical Physics》 SCIE CAS CSCD 2005年第5X期863-866,共4页
We investigate the energy spectrum of ground state and quasi-particle excitation spectrum of hard-core bosons, which behave very much like spinless noninteracting ferrnions, in optical lattices by means of the perturb... We investigate the energy spectrum of ground state and quasi-particle excitation spectrum of hard-core bosons, which behave very much like spinless noninteracting ferrnions, in optical lattices by means of the perturbation expansion and Bogoliubov approach. The results show that the energy spectrum has a single band structure, and the energy is lower near zero momentum; the excitation spectrum gives corresponding energy gap, and the system is in Mort-insulating state at Tonks limit. The analytic result of energy spectrum is in good agreement with that calculated in terms of Green's function at strong correlation limit. 展开更多
关键词 hard-core boson energy spectrum excitation spectrum optical lattices
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Excitation Spectrum of Spin-1 Bosonic Atoms in an Optical Lattice with High Filling Factors
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作者 HOU Jing-Min 《Communications in Theoretical Physics》 SCIE CAS CSCD 2007年第4期636-642,共7页
The Green's function and the higher-order correlation functions of spin-1 cold atoms in an optical lattice are defined. Because we consider the problem of spin-1 Bose condensed atoms in an optical lattice with high f... The Green's function and the higher-order correlation functions of spin-1 cold atoms in an optical lattice are defined. Because we consider the problem of spin-1 Bose condensed atoms in an optical lattice with high filling factors, i.e., the number density of Bose condensed atoms no is large, the fluctuation of them can be neglected and we take mean-field approximation for the higher-order terms. The excitation spectra for both the polar case and the ferromagnetic case are obtained and analyzed. 展开更多
关键词 excitation spectrum optical lattices spinor atoms
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Excitation Spectrum and Momentum Distribution of Bose-Hubbard Model with On-site Two-and Three-Body Interaction
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作者 黄备兵 完绍龙 《Communications in Theoretical Physics》 SCIE CAS CSCD 2013年第3期295-301,共7页
An effective action for Bose-Hubbard model with two-and three-body on-site interaction in a square optical lattice is derived in the frame of a strong-coupling approach developed by Sengupta and Dupuis.From this effec... An effective action for Bose-Hubbard model with two-and three-body on-site interaction in a square optical lattice is derived in the frame of a strong-coupling approach developed by Sengupta and Dupuis.From this effective action,superfluid-Mott insulator(MI) phase transition,excitation spectrum and momentum distribution for two phases are calculated by taking into account Gaussian fluctuation about the saddle-point approximation.In addition the effects of three-body interaction are also discussed. 展开更多
关键词 Bose-Hubbard model three-body interaction excitation spectrum momentum distribution
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Functional Integrals and Collective Excitations in Boson-Fermion Model 被引量:5
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作者 YAN Jun 《Communications in Theoretical Physics》 SCIE CAS CSCD 2006年第5X期769-772,共4页
In this paper, collective excitations in the boson-fermion model are investigated by means of functional integration method. The equations of energy gap and excitation spectrum are derived. Moreover, the Bose energy s... In this paper, collective excitations in the boson-fermion model are investigated by means of functional integration method. The equations of energy gap and excitation spectrum are derived. Moreover, the Bose energy spectrum of zero wave vector Fermi fields is also calculated. 展开更多
关键词 functional integrals excitation spectrum boson-fermion model
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Luminescence Properties of Ce^(3+)∶YAG Single Crystal Scintillator under Vacuum Ultraviolet Excitation 被引量:1
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作者 黄朝红 张庆礼 +3 位作者 周东方 李运奎 殷绍唐 施朝淑 《Journal of Rare Earths》 SCIE EI CAS CSCD 2003年第S1期49-52,共4页
Ce (3+) doped Y_3Al_5O_(12) (Ce (3+)∶YAG) single crystal is an good scintillator due to its excellent thermal,mechanic and scintillant performances. In this paper,its vacuum ultraviolet and fluorescence spectra using... Ce (3+) doped Y_3Al_5O_(12) (Ce (3+)∶YAG) single crystal is an good scintillator due to its excellent thermal,mechanic and scintillant performances. In this paper,its vacuum ultraviolet and fluorescence spectra using the synchrotron radiation as the excitation source was studied. The ultraviolet-visible excitation and absorption spectra of Ce (3+)∶YAG were also measured. The excitation energy transfer process and the luminescent differences under direct excitation into the 5d bands of Ce (3+) and excitation of valence band in Ce (3+)∶YAG scintillator were studied. 展开更多
关键词 scintillator Ce(3+)∶YAG excitation spectrum fluorescence spectrum rare earths
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EQUIVALENT EXCITATION METHOD FOR VIBRATION ISOLATION DESIGN:THEORETICAL ANALYSIS AND EXPERIMENTAL RESULTS 被引量:1
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作者 HuoRui ShiYin 《Chinese Journal of Mechanical Engineering》 SCIE EI CAS CSCD 2005年第2期246-250,共5页
In view of difficulties concerned with direct measurement of excitationsinside source equipments and their significant influence on vibration isolation effectiveness, adynamical model, for vibration isolation of a rig... In view of difficulties concerned with direct measurement of excitationsinside source equipments and their significant influence on vibration isolation effectiveness, adynamical model, for vibration isolation of a rigid machine with six-degree-of-freedom mounted on aflexible foundation through multiple mounts, is analyzed, in which the complicated and multipledisturbances inside the machine are described as an equivalent excitation spectrum. And a method forthe estimation of the equivalent excitation spectrum according to system dynamic responses isdiscussed for the quantitative prediction of isolation effectiveness. Both theoretical analysis andexperimental results are demonstrated. Further work shows the quantitative prediction of transmittedpower flow in a flexible vibration isolation experiment system using the proposed equivalentexcitation spectrum method, by comparison with its testing results. 展开更多
关键词 Vibration isolation excitation spectrum Effectiveness estimation
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Spin excitation spectra of spin–orbit coupled bosons in an optical lattice
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作者 李若言 贺亮 +2 位作者 孙青 纪安春 田光善 《Chinese Physics B》 SCIE EI CAS CSCD 2015年第5期451-459,共9页
Spin-wave excitation plays important roles in the investigation of the magnetic phases. In this paper, we study the spin-wave excitation spectra of two-component Bose gases with spin-orbit coupling in a deep square op... Spin-wave excitation plays important roles in the investigation of the magnetic phases. In this paper, we study the spin-wave excitation spectra of two-component Bose gases with spin-orbit coupling in a deep square optical lattice using the spin-wave theory. We find that, while the excitation spectrum of the vortex crystal phase is gapless with a linear dispersion in the vicinity of the minimum point, the spectra of the commensurate spiral spin phase and the skyrmion crystal phase are gapped. Significantly, the spin fluctuations strongly destabilize the classical ground state of the skyrmion phase with the appearance of an imaginary part in the eigenfrequencies of spin excitations. Such features of the spin excitation spectra provide further insights into the exotic spin phases. 展开更多
关键词 ultracold Fermi gas optical lattice spin-orbit coupling spin excitation spectrum
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Triple three-dimensional MS/MS spectrum facilitates quantitative ginsenosides-targeted sub-metabolome characterization in notoginseng
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作者 Ke Zhang Jinru Jia +5 位作者 Ting Li Wenjing Liu Pengfei Tu Jian-Bo Wan Jun Li Yuelin Song 《Acta Pharmaceutica Sinica B》 SCIE CAS CSCD 2024年第9期4045-4058,共14页
Although serving as the workhorse,MS/MS cannot fully satisfy the analytical requirements of quantitative sub-metabolome characterization.Because more information intrinsically correlates to more structural and concent... Although serving as the workhorse,MS/MS cannot fully satisfy the analytical requirements of quantitative sub-metabolome characterization.Because more information intrinsically correlates to more structural and concentration clues,here,efforts were devoted to comprehensively tracing and deciphering MS/MS behaviors through constructing triple three-dimensional(33D)-MS/MS spectrum.Ginsenosides-targeted metabolomics of notoginseng,one of the most famous edible medicinal plants,was employed as a proof-of-concept.Serial authentic ginsenosides were deployed to build the correlations between 33D-MS/MS spectra and structure/concentration features.Through assaying ginsenosides with progressive concentrations using QTOF-MS to configure 1st 3D spectrum,the generations of MS1 spectral signals,particularly multi-charged multimer anions,e.g.,[2Me2H]2e and[2Mt2HCOO]2e ions,relied on both concentration and the amount of sugar chains.By programming progressive collision energies to the front collision cell of Qtrap-MS device to gain 2nd 3D spectrum,optimal collision energy(OCE)corresponding to the glycosidic bond fission was primarily correlated with the masses of precursor and fragment ions and partially governed by the glycosidation site.The quantitative relationships between OCEs and masses of precursor and fragment ions were utilized to build large-scale quantitative program for ginsenosides.After applying progressive exciting energies to the back collision chamber to build 3rd 3D spectrum,the fragment ion and the decomposition product anion exhibited identical dissociation trajectories when they shared the same molecular geometry.After ginsenosides-focused quantitative metabolomics,significant differences occurred for sub-metabolome amongst different parts of notoginseng.The differential ginsenosides were confirmatively identified by applying the correlations between 33D-MS/MS spectra and structures.Together,33D-MS/MS spectrum covers all MS/MS behaviors and dramatically facilitates sub-metabolome characterization from both quantitative program development and structural identification. 展开更多
关键词 Quantitative submetabolome characterization GINSENOSIDES Structural identification Notoginseng Full exciting energy ramp-MS3 spectrum
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A tetragonal tungsten bronze-type photocatalyst:Ferro-paraelectric phase transition and photocatalysis
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作者 范大勇 种瑞峰 +3 位作者 范峰滔 王秀丽 李灿 冯兆池 《Chinese Journal of Catalysis》 SCIE EI CAS CSCD 北大核心 2016年第8期1257-1262,共6页
Although ferroelectrics have potential applications in photocatalysis due to their highly efficient charge separation, their mechanism of charge separation is still unknown. A ferroelectric Sr0.7Ba0.3Nb2O6 (SBN‐70)... Although ferroelectrics have potential applications in photocatalysis due to their highly efficient charge separation, their mechanism of charge separation is still unknown. A ferroelectric Sr0.7Ba0.3Nb2O6 (SBN‐70) semiconductor with a low ferro‐paraelectric phase transition (65℃) was studied. The photocatalytic activity for H2 production by ferroelectric and paraelectric SBN‐70 was examined. The spontaneous polarization in the ferroelectric phase strongly affected the photocata‐lytic performance and parallel ferroelectric domains significantly promoted photogenerated charge separation to result in better photocatalytic H2 production. This knowledge provides an important basis for the fabrication of ferroelectric photocatalysts with improved charge separation ability. 展开更多
关键词 PHOTOCATALYSIS Ferro-paraelectric phase transition Sr0.7Ba0.3Nb2O6 Anomalous photovoltaic effect Temperature-dependent photolumi-nescence excitation spectrum
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Luminescent Properties of Tb^(3+) Doped CaMoO_4 Phosphor for UV White Light Emitting Diode 被引量:3
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作者 关丽 杨志平 +2 位作者 李旭 刘冲 李盼来 《Journal of Rare Earths》 SCIE EI CAS CSCD 2007年第S1期294-296,共3页
A novel yellowish green phosphor Tb3+ doped calcium molybdate (CaMoO4) was synthesized at 800 ℃ by conventional solid state reaction method and their crystal structure and luminescent properties were investigated. Th... A novel yellowish green phosphor Tb3+ doped calcium molybdate (CaMoO4) was synthesized at 800 ℃ by conventional solid state reaction method and their crystal structure and luminescent properties were investigated. The X-ray diffraction patterns (XRD) showed that they were simple crystalloid of CaMoO4∶Tb3+. Monitored at 550 nm, the excitation spectrum consisted of two bands and the two excitation peaks located at 305 and 380 nm respectively. The emission spectrum excited by 380 nm UV light was composed of four narrow bands. The strongest emission was located at 540 nm corresponding to 5D4-7F5 transition. The appropriate concentration of Tb3+ was 5%(mole fraction) for the highest emission intensity at 550 nm. These results showed that this Tb3+-activated CaMoO4 was a promising yellowish green phosphor for near-ultraviolet (NUV) InGaN-based white LED. 展开更多
关键词 CaMoO_4∶Tb^(3+) PHOSPHOR excitation spectrum emission spectrum rare earths
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Luminescent Properties of Ce^(3+) Ions in Zinc Phosphate Glass Prepared in Air
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作者 赖昌 《Journal of Wuhan University of Technology(Materials Science)》 SCIE EI CAS 2012年第3期523-525,共3页
Glasses are prepared by sintering P2O5, ZnO and Ce2(C2O4)3 10H2O mixtures at 1 100 ℃ in air and then annealed at 400 ℃ for 10 hours. The obtained glasses are homogeneous, transparent and colorless. Emission and ex... Glasses are prepared by sintering P2O5, ZnO and Ce2(C2O4)3 10H2O mixtures at 1 100 ℃ in air and then annealed at 400 ℃ for 10 hours. The obtained glasses are homogeneous, transparent and colorless. Emission and excitation spectra are measured for the samples and the results show that the glasses contain Ce3+ trivalent cerium ions. The parameters of glass preparation obtained here may be adapted to preparing this type of glasses doped with other lanthanide ions, so as to study energy transfer phenomena and variation of radiative lifetime with refractive index due to local field effect. 展开更多
关键词 zinc phosphate glass Ce3+ glass preparation emission spectrum excitation spectrum
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Luminescence Properties of Ca(NbO_3)_2∶Dy^(3+)
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作者 赵新乐 翁占坤 +2 位作者 陈光 田坚 陈春荣 《Journal of Rare Earths》 SCIE EI CAS CSCD 2003年第S1期74-77,共4页
On the base of the luminescence properties of the Dy (3+) activated Ⅱ-Ⅴ group complex oxide,the luminescence properties of Ca(NbO_3)_2∶Dy (3+) and compensation effect by Na + for the Ca(NbO_3)_2∶Dy (3+) were intro... On the base of the luminescence properties of the Dy (3+) activated Ⅱ-Ⅴ group complex oxide,the luminescence properties of Ca(NbO_3)_2∶Dy (3+) and compensation effect by Na + for the Ca(NbO_3)_2∶Dy (3+) were introducted. The Dy (3+) concentrations in the phosphor powder of Ca(NbO_3)_2∶Dy (3+) and Ca(NbO_3)_2Na +∶Dy (3+) are different. The excitation spectrum,the emission spectrum and the blue-yellow ratios are obtained,and the spectrum law and the luminescence mechanism are also discussed. 展开更多
关键词 fluorescence excitation spectrum fluorescence emission spectrum sodium ion compensation rare earths
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Site Selective Spectra of Eu^(3+)-Doped Y_2SiO_5 Crystal
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作者 Xue Shaolin Chen Lingbing +3 位作者 XieLiming Zhao Youyuan Li Fuming(Department of Physics, FudanUniversity, Shanghai 200043,China), Zhang Shoudu WangHaobing(Shanghai Institute of Optics, Chinese Academy of Sciences,Shanghai 201800, China) 《Journal of Rare Earths》 SCIE EI CAS CSCD 1999年第4期279-279,共1页
By using a whitelight lamp, an Ar+ ion laser whosewavelength was tuned to 457. 9 nmand a tunable Rh 6G dye laser(linewidth: 0. 5 cm-1) pumped bythe second harmonic of a Nd: YAGlaser as light sources and using amonochr... By using a whitelight lamp, an Ar+ ion laser whosewavelength was tuned to 457. 9 nmand a tunable Rh 6G dye laser(linewidth: 0. 5 cm-1) pumped bythe second harmonic of a Nd: YAGlaser as light sources and using amonochromator, a phase-lockingamplifier and a computer as the data detecting system, the transmission spectrum, fluorescence spectra, excitation spectrum and siteselective fluorescence spectra ofthe Eu3+: Y2SiO5 crystal were observed. More than thirty out of thetotal fifty spectral lines were observed for 5D0→7F0,1,2,3,4 transitions. The Eu3+ ions occupy twokinds of the Y3+ sites with the lowsymmetry in this crystal. The difference of the wavelengths of thetwo Eu3+ sites for 7F0→5D0 transition is about 0. 2 nm. It was foundthat the two sites were nonequivalent optical ones at room temperature. Crystal lattice constants a,b, c, and β of Eu3+: Y2SiO5 werealso measured by the X-ray diffraction method. The results show thatthe lattice constants a, b, and cof the crystal doped Eu3+ ions isvery close to those of the Y2SiO5crystal undoped Eu3+ ions. 展开更多
关键词 Rare earths Eu^(3+):Y_2SiO_5 excitation spectrum Site selective spectra
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Phase diagram and collective modes in Rashba spin–orbit coupled BEC: Effect of in-plane magnetic field
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作者 董冬 邹旭波 郭光灿 《Chinese Physics B》 SCIE EI CAS CSCD 2015年第7期387-391,共5页
We studied the system of pure Rashba spin–orbit coupled Bose gas with an in-plane magnetic field. Based on the mean field theory, we obtained the zero temperature phase diagram of the system which exhibits three phas... We studied the system of pure Rashba spin–orbit coupled Bose gas with an in-plane magnetic field. Based on the mean field theory, we obtained the zero temperature phase diagram of the system which exhibits three phases, plane wave(PW) phase, striped wave(SW) phase, and zero momentum(ZM) phase. It was shown that with a growing in-plane field,both SW and ZM phases will eventually turn into the PW phase. Furthermore, we adopted the Bogoliubov theory to study the excitation spectrum as well as the sound speed. 展开更多
关键词 Rashba spin–orbit coupling excitation spectrum in-plane magnetic field
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Novel Portable Oil Ingredient Instrument with Optical Fiber Link
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作者 WANGShu-tao SHIJin-shan 《Semiconductor Photonics and Technology》 CAS 2001年第2期109-113,119,共6页
The operation principle of a novel portable oil ingredient instrument is introduced. Using the theory of fluorescence measurement, this instrument can carry out fast and consecutive in-situ detection of oil ingredient... The operation principle of a novel portable oil ingredient instrument is introduced. Using the theory of fluorescence measurement, this instrument can carry out fast and consecutive in-situ detection of oil ingredient in sea water, confirming fast and correctly the situation of oil contamination such as the concentration and the area, etc. The lowest detectable concentration for the instrument is 1×10 -8 g/ml with the precision of less than 3 %. The results of experiment and practice show that this system has well water-sealed characteristic and repeatability. 展开更多
关键词 Fluorescence measurement excitation spectrum Fluorescence spectrum Optical fiber
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High-excited-state splitting and multimode vibrational coupling in Mn^(4+)-activated fluoride phosphor 被引量:1
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作者 Debao Zhang Wanggui Ye +5 位作者 Xuguang Cao Ji Zhou Fei Tang Changcheng Zheng Jiqiang Ning Shijie Xu 《Science China(Physics,Mechanics & Astronomy)》 SCIE EI CAS CSCD 2024年第3期95-101,共7页
Excited-states play a crucial role in the optical absorption and luminescence of solids and hence their accurate information is highly desired. Herein, we attempt to seize the excited-states information of Mn^(4+)ions... Excited-states play a crucial role in the optical absorption and luminescence of solids and hence their accurate information is highly desired. Herein, we attempt to seize the excited-states information of Mn^(4+)ions in K_(2)SiF_(6) microcrystals via measuring and calculating their variable-temperature photoluminescence excitation(PLE) spectra. At cryogenic temperatures, an unpredicted splitting of the high-excited-state is observed. Moreover, the two-split high-excited-state levels are further revealed to primarily couple with the two hyperfine split modes of quasi-localized ν2 vibration in the distorted Mn-F_(6) octahedral configuration,whereas the coupling strengths are found to be substantially different from each other. The slightly split vibrational mode is firmly supported by the low-temperature Raman spectra. Jahn-Teller lattice distortion is believed to be responsible for the observed splitting of the electronic high-excited-state and the quasi-localized vibrational mode. 展开更多
关键词 splitting of excited-state photoluminescence excitation spectrum electron-phonon coupling Jahn-Teller effect
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Collective Excitations of Low Dimensional Trapped Bose-Condensed Gas 被引量:2
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作者 罗运文 陈继胜 《Communications in Theoretical Physics》 SCIE CAS CSCD 2013年第12期673-676,共4页
In this paper, we investigate excited characteristic of the weakly interacting quasi-one-dimensional (11)) and quasi-two-dimensional (2D) Bose-Einstein condensation (BEC) in harmonic potential trap. The energ3,... In this paper, we investigate excited characteristic of the weakly interacting quasi-one-dimensional (11)) and quasi-two-dimensional (2D) Bose-Einstein condensation (BEC) in harmonic potential trap. The energ3, spectrum and the analytical expression of the sound velocity are obtained and analyzed. Compared with 3-Dimensional homogeneous Bose-condensed gas occasion, the sound velocity of 21) Bose-Einstein condensation in harmonic potential trap is smaller. 展开更多
关键词 Bose-Einstein condensates (BEC) sound velocity energy excitation spectrum
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Excitation spectra of one-dimensional spin-1/2 Fermi gas with an attraction
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作者 Jia-Feng Pan Jia-Jia Luo Xi-Wen Guan 《Communications in Theoretical Physics》 SCIE CAS CSCD 2022年第12期154-175,共22页
Using an exact Bethe ansatz solution,we rigorously study excitation spectra of the spin-1/2 Fermi gas(called Yang–Gaudin model)with an attractive interaction.Elementary excitations of this model involve particle-hole... Using an exact Bethe ansatz solution,we rigorously study excitation spectra of the spin-1/2 Fermi gas(called Yang–Gaudin model)with an attractive interaction.Elementary excitations of this model involve particle-hole excitation,hole excitation and adding particles in the Fermi seas of pairs and unpaired fermions.The gapped magnon excitations in the spin sector show a ferromagnetic coupling to the Fermi sea of the single fermions.By numerically and analytically solving the Bethe ansatz equations and the thermodynamic Bethe ansatz equations of this model,we obtain excitation energies for various polarizations in the phase of the Fulde–Ferrell–Larkin–Ovchinnikov-like state.For a small momentum(long-wavelength limit)and in the strong interaction regime,we analytically obtained their linear dispersions with curvature corrections,effective masses as well as velocities in particle-hole excitations of pairs and unpaired fermions.Such a type of particle-hole excitations display a novel separation of collective motions of bosonic modes within paired and unpaired fermions.Finally,we also discuss magnon excitations in the spin sector and the application of Bragg spectroscopy for testing such separated charge excitation modes of pairs and single fermions. 展开更多
关键词 Yang-Gaudin model quantum integrability the Bethe ansatz excitation spectrum
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