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1.
利用单电子、紧束缚、最近邻座模型,在重整化群的基础上,用分解-消元法分析了二维单原子斐波那契类准晶FC(n)的电子能谱分裂规律,数值计算了其电子能谱值,发现在一级近似下,该类二维准晶格中全部都只存在n×n,n×(n+1),(n+1)×(n+1)等三种原子簇分子,相应的能谱按Ym-n-l方式分裂,得出了其电子能谱的能级数目通式,发现描述其能级数目的参量存在所谓的“斐波那契类数集合”,并且确定了该集合的前11个整数的稳定值,找出了有关斐波那契类数集合的经验公式.分析结果与数值计算值相符
关键词:
斐波那契类
准晶
电子能谱
重整化群 相似文献
2.
A nonlinear (piecewise linear) optical transfer function for optical applications generally and isolator especially is introduced and a realization method for the introduced block based on array of two-port nonlinear ring resonators is proposed. The effect of system parameters on the transfer function is studied. The characteristics of the introduced nonlinear device such as the threshold value and the slope of linear part can be controlled using the coupling coefficients and ring lengths. We show that using our proposed idea, easily more than 30-dB isolation well over 3 THz can be obtained only with similar two rings. Also, insertion loss less than 1 dB can be obtained using optical amplifier between rings. The proposed circuit is compact (0.2 mm2) and easily can be integrated with semiconductor lasers as well as other integrated devices and systems. Finally, the analytical result for approximation of the threshold and slope of linear part is presented. 相似文献
3.
In this paper we study the
splitting rules of energy spectra for two-dimensional
Fibonacci-class quasilattices (FC(n)) with three kinds of atoms
(A, B, and C) and one bond length by means of a
decomposition-decimation method, and find that the sublattices of
B atoms and C atoms are different from those of normal
two-dimensional FC(n) and the corresponding splitting manners
are new and interesting. B atom forms a kind of two-dimensional
so-called FC(n)’, which structure is some different from that of
normal FC(n-1) (n≥2), but the spectra lines are as the
same as that of the latter. C atom forms two kinds of
interesting one-dimensional periodic chains: n-atom chain and
(n-1)-atom chain, which spectra will both tend to become
continuous, respectively. The analytical results are confirmed by
numerical simulations. 相似文献
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5.
《Journal of Molecular Spectroscopy》1987,126(2):436-442
The relative intensity distribution in the rotational structure of the a1Δg → X3Σg− magnetic dipole transition of molecular oxygen is examined. Use is made of experimental data obtained from the high-resolution (0.02 cm−1) FTS recording of the 0-0 band published by C. Amiot and J. Verges (Canad. J. Phys. 59, 1391–1398 (1981)). Comparison of the experimental and theoretical intensities indicates that rotational linestrength formulas containing purely vibronic transition moments are inadequate and need to be supplemented by two additional parameters of rovibronic origin. 相似文献
6.
Youcef Bouhadda Youcef Boudouma Abdelouahab Bentabet 《Journal of Physics and Chemistry of Solids》2010,71(9):1264-2326
The structural stability, electronic structure, optical and thermodynamic properties of NaMgH3 have been investigated using the density functional theory. Good agreement is obtained for the bulk crystal structure using both the local density approximation (LDA) and the generalized gradient approximation (GGA) for the exchange-correlation energy. It is found from the electronic density of states (DOS) that the valence band is dominated by the hydrogen atoms while the conduction band is dominated by Na and Mg empty states. Also, the DOS reveals that NaMgH3 is a large gap insulator with direct band gap 3.4 eV. We have investigated the optical response of NaMgH3 in partial band to band contributions and the theoretical optical spectrum is presented and discussed in this study. Optical response calculation suggests that the imaginary part of dielectric function spectra is assigned to be the interband transition. The formation energy for NaMgH3 is investigated along different reaction pathways. We compare and discuss our result with the measured and calculated enthalpies of formation found in the literature. 相似文献
7.
A unified calculation of optical band positions and electron paramagnetic resonance (EPR) (or spin-Hamiltonian) parameters for the trigonal Cr3+–Li+ centre in CsMgCl3 crystal is made by using the complete diagonalisation (of energy matrix) method based on the two-spin–orbit-parameter model. In this model, the contributions from the spin–orbit parameter of central dn ion and that of ligand ion are included. From the calculation, the 11 observed optical and EPR data (eight optical band positions and three EPR parameters g//, g⊥, D) are reasonably explained with five adjustable parameters and the defect structure of the Cr3+–Li+ centre (which is consistent with the expectation based on the electrostatic interaction) in CsMgCl3 is acquired. The results are discussed. 相似文献
8.
A series of Sm3+-doped magnesium borate glasses were prepared using the melt quenching and characterized to determine the effects of various Sm3+ contents on their optical traits. The absorption and luminescence spectra of the glasses revealed ten and four significant peaks, respectively. In addition, the experimental results on the optical properties were validated using the Judd-Ofelt (J−O) analyses. The obtained J−O intensity parameters (Ωλ with λ = 2, 4, 6) confirmed the structural changes in the host network due to the Sm3+ doping. The value of Ω2 for the studied glasses indicated the covalent and asymmetric nature of the Sm3+− O2 linkages. The achieved J−O radiative parameters (quality factor, branching ratio and stimulated emission cross-section) were highest for the glass made with 0.5 mol% of Sm3+, demonstrating its lasing potency. The proposed glass compositions may be beneficial for the photonic devices. 相似文献
9.
隐身技术对降低飞行器目标的雷达散射截面、提高飞行器目标的生存能力具有重要的意义和价值, 而在飞行器目标上引入吸波器结构是一种重要的隐身手段. 然而, 目前已有吸波器的研究主要集中在单频或多频窄带方面. 为了拓展吸波器工作频带, 基于石墨烯材料提出了一种工作于S/C波段的新型超宽带吸波器模型单元, 其中包含一个用石墨烯材料设计的方圆形双环周期结构. 调节石墨烯的表面阻抗, 使得吸收率超过90%的频带范围为2.1-9.0 GHz, 相对带宽约为124%, 实现了超宽带的吸波特性; 鉴于模型的高度对称性, 提出的吸波器模型表现出对入射波极化不敏感的吸波特性; 在不改变模型结构情况下, 调节石墨烯的静态偏置电场, 亦可调控吸波器谐振在2.0-9.0 GHz频带范围内的任意频率点处, 且达到超过99%的吸收效果. 最后采用等效电路模型方法和波的干涉理论对其吸波机理进行深入研究与分析: 从等效电路角度来讲, 方形和圆形环分别引入高、低吸波谐振频率, 二者优化叠加拓展了吸波带宽; 从干涉理论方面来看, 吸波器表面处的首次反射波与透射波的多次出射波形成较强的干涉相消现象, 有效减少了吸波器的反射回波. 相似文献
10.
《Journal of Physics and Chemistry of Solids》1987,48(7):635-640
Electrochemical or chemical oxidation of pyrrole-containing complex anions of iron cyanide or iron chloride results in the formation of films or powders of conducting polypyrroles. Freshly prepared films exhibit an additional IR band at ca 1630–1640 cm−1, slowly disappearing in air and not observed in previously studies polypyrrole-based systems. It is possible that this new band is associated with the existence of a CN bond in dehydrogenated pyrrole rings which are transformed into regular pyrrole rings, probably due to the protonation reaction occurring in air and simultaneous bond rearrangement. The polypyrrole structure favours the presence of Fe(CN)64− over Fe(CN)63− since the former is the only iron species detected by Mössbauer spectroscopy in electrochemically prepared samples. It is also the dominant iron species in the samples oxidized chemically. The polypyrrole-containing Fe(CN)64− is more ordered than those containing monovalent anions, as evidence by X-ray diffraction studies. High-spin eron complexes can be inserted into polypyrrole during electrochemical oxidation of pyrrole in non-aqueous solutions containing LiCl/FeCl3. The inserted species exhibit Mössbauer parameters characteristic of slightly distorted FeCl4−. 相似文献
11.
Khem B. Thapa S. K. Singh S. P. Ojha 《International Journal of Infrared and Millimeter Waves》2006,27(9):1257-1268
We have purposed the design of omnidirectional high reflectors with wide bandwidth (nearly 6300A0) for the infrared wavelength. Using translational matrix method for numerical calculation, it is found that a complete photonic
band gap high reflector covering the wavelength region 11500A0 to 17800A0 is obtained for the quarter wave stack air / (nL nH)7 / air by using the tellurium (n=4.60) and TiO2 (n=2.35) as material of high reflective index and SiO2(n=1.45) low refractive index. Due to high refractive index of contrast of the structure i.e. SiO2/tellurium, a large complete photonic band gap, omnidirectional high reflector, has been observed for the infrared wavelengths.
This type of omnidirectional high reflector can be used in telecommunication. Besides this, we have studied the effective
refractive indices (phase and group) of the proposed structures. It is observed that the effective refractive indices (phase
and group) of the high omnidirectional reflector band are largely changed near the band edges due to the high refractive index
of contrast, and the reflections from the internal interfaces of the structure. 相似文献
12.
N.D. Scarisoreanu L. Nedelcu M.I. Toacsan S.D. Stoica 《Applied Surface Science》2010,256(22):6526-6530
Single-phase Ba(Mg1/3Ta2/3)O3 thin films were prepared by radiofrequency plasma beam assisted pulsed laser deposition (RF-PLD) starting from a bulk ceramic target synthesized by solid state reaction. Atomic force microscopy, X-ray diffraction and spectroscopic ellipsometry were used for morphological, structural and optical characterization of the BMT thin films. The X-ray diffraction spectra show that the films exhibit a polycrystalline cubic structure. From spectroscopic ellipsometry analysis, the refractive index varies with the thin films deposition parameters. By using the transmission spectra and assuming a direct band to band transition a band gap value of ≈4.72 eV has been obtained. 相似文献
13.
Cu2SnS3 thin films were prepared using a simple and phase-controlled two-stage process. Initially, Cu-Sn precursors were deposited by DC sputtering, followed by sulfurization at different temperatures (Ts) that vary in the range, 150 - 500 °C. An exhaustive study of the optical properties in relation to sulfurization temperature was performed using transmission and reflectance measurements. The estimated optical absorption coefficient for all the layers was very high and found to be > 104 cm−1. The optical band gap was determined using Tauc plots and it varied in the range, 1.49–2.34 eV with an increase of Ts. The refractive index (n) and the extinction coefficient (k) were also obtained. The optical properties like dispersion parameters, dielectric constant, dissipation factor, optical conductivity, surface energy loss function, volume energy loss function and optical haze were also calculated. Further, analysis of electrical properties such as electrical resistivity, mobility and carrier density of the prepared films with sulfurization temperature was made in order to verify the suitability of synthesized CTS layers for solar cell application. 相似文献
14.
在简介斐波那契类(Fibonacci-class)准晶(FC(n))的特征基础上,在小信号、平面波近似下详细地研究了通过N层按斐波那契类准周期系列排布的铁电畴超晶格的二次谐波光场的谱性质.发现其谱的极强峰在实空间,在不考虑介质色散效应的情况下,具有完美的自相似性;对于具有线性色散效应的铁电晶体,其谱在实空间也具有相同的结论;而对于具有非线性色散效应的铁电介质,极强峰的这种自相似性将被破坏.另外,二次谐波光的暗线处将存在缺级效应;亮线处则无缺级效应.
关键词: 相似文献
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16.
The structural and vibrational parameters of FC(O)ONO and FC(O)NO2 isomers were examined theoretically using the B3LYP/6-311+G(3df) and CCSD(T)/6-311G(d) methods. Four conformers of FC(O)ONO isomer and one FC(O)NO2 isomer are found here. Among them, the trans–cis and cis–cis FC(O)ONO configuration are new conformers. The energetics were refined with G3//B3LYP and CBS-QB3 calculations. The trans–trans conformer of the FC(O)ONO isomer is found to be the lowest energy structure, with an estimated heat of formation of ?104.9 kcal mol?1 at 0 K as determined from CBS-QB3 theory. The next lowest structure is the cis–trans FC(O)ONO lying 1.7 kcal mol?1 above the trans–trans structural form. The highest energy structure is the FC(O)NO2 isomer with a predicted heat of formation of ?84.8 kcal mol?1. A comparison of the relative stability of the FCNO3 isomers with the isomers of ClCNO3 shows that the Cl analogues follow the same pattern of stability, as do the F isomers. However, the chlorine isomers are unstable relative to their fluorine analogues. 相似文献
17.
A.T. Futro 《Journal of Physics and Chemistry of Solids》1979,40(3):201-207
The fundamental reflectivity spectrum in the energy range 1.5–8.5 eV is reported for Bi12GeO20 (BGO) single crystals. From a Kramers-Kronig analysis the optical constants of BGO are computed. An energy level scheme for interband optical transitions is proposed. A value of 0.7 eV for the spin-orbit splitting of the valence band is suggested. Some features of the band structure are discussed, and the correlations between the band structures of BGO and A2VB3VI-compounds are indicated. The experimental premises for possible simplifications of a theoretical calculation of the band structure are given. 相似文献
18.
Dispersion characteristic of MI and MII type single mode optical fibers is analytically investigated. For this purpose modal analysis of these fibers to obtain possible wave vectors for given system parameters are done. Then using numerical evaluation of the presented analytical relations, chromatic and waveguide dispersions are calculated. The effects of geometrical and optical parameters of the fibers on dispersion characteristics are investigated. In this analysis, we show that with increase of Δ (optical parameter) for MI structure the slope of dispersion curve is decreased and the case is reversed for MII structure. Also, with rising of Q (geometric parameter) for MI structure the slope of dispersion curve is decreased and the situation is reversed for MII structure. Finally, we show that with boosting of R2 for MII structure the slope of dispersion is increased. As a final result, our simulations show that small values for optical parameters are better in MII structure for multi-channel optical communications. In MI structure to obtain small dispersion slope, Q can be increased that is easy for fabrication in practice. Finally, Q and R2 are suitable parameters for control of dispersion in the proposed structures. 相似文献
19.