Odd-even Effect on Liquid Crystalline Behavior for C_3-Cyclotriveratrylene(CTV) Derivatives Containing Alkoxies with Different Lengths as Peripheral Groups

A series of bowlic cyclotriveratrylenes（CTV） with peripheral groups with different lengths were synthesized.These compounds were investigated by diferential scanning calorimetry and hot stage coupled polarizing microscopy.Several CTV derivatives show thermotropic liquid crystalline properties.The experimental results of their thermotropic liquid crystalline behavior indicate that the clear points,the entropy changes of melting points,the crystallization temperatures,and their entropy changes all exhibited an evident odd-even effect except the melting points,which decreased monotonously with the increase of the length of the alkoxy groups.The parameter values of CTVs with even number carbon atoms were larger than those of CTVs with odd number.When the length of alkoxyl chains was even longer,a monotonous decrease occured.Nevertheless,in the case of the entropy changes of both melting points and crystallization temperatures,the effect was valid for all the six species,and therefore,the whole curves presented as a zig-zag form.

Theoretical study of the odd-even-order harmonic generation for asymmetric ions in non-Born-Oppenheimer approximation

We calculated the harmonic spectra generated from the asymmetric molecules of HD^＋ and HeH^2＋. It is found that HD＋produces only odd harmonics, while HeH^2＋produces both odd and even harmonics. Further analysis reveals that for both HD^＋ and HeH^2＋, the nuclear dipole acceleration can generate even harmonics, but it is three orders of magnitude lower than that of the electron. Hence, the electronic dipole acceleration dominates the harmonic generation. For HD^＋,the electronic dipole acceleration only contributes to the generation of odd harmonics, but for HeH^2＋it contributes to the generation of both odd and even harmonics. Besides, one concept of the broken degree of system-symmetry is proposed to explain the different odd-even property between the harmonic spectra of HD^＋ and HeH^2＋.

ODD-EVEN EFFECT OF LYOTROPIC LIQUID CRYSTALLINE PROPERTIES OF AROMATIC-ALIPHATIC COPOLYAMIDES

A series of aromatic-aliphatic copolyamides containing different aliphatic diamine units was synthesized by low temperature solution polycondensation.The liquid crystalline critical concentration(c^(*))and liquid crystalline critical temperature(T^(*))of these copolyamides exhibited an odd-even zigzag effect with the odd-even variation of carbon atom number in the aliphatic diamines used.

A Reliability Analysis of Calculated Results for Odd-Even and Odd-Odd Nuclei in Relativistic Mean-Field Theory

We calculate the binding energies of Ni, Cu, Xe, Cs, Pt, Au, Np, Pu isotope chains using two interaction parameter sets NL-3 and NL-Z, and compared the relative errors of the even-even nuclei with those of odd-even nuclei and odd-odd nuclei. We find that the errors of binding energy of odd-even and odd-odd nuclei are not bigger than the one of even-even nuclei. The result shows that comparing with even-even nuclei, there is no systematic error and approximation in the calculations of the binding energy of odd-even and odd-odd nuclei with relativistic mean-field theory. In addition, the result is explained theoretically.

Anion Photoelectron Spectroscopy and Density Functional Theory Studies of AuC_(n)^(-/0)(n=3-8):Odd-Even Alternation in Electron Binding Energies and Structures

We measured the photoelectron spectra of AuC_(n)^(-)(n=3-8)and conducted theoretical study on the structures and properties of AuC_(n)^(-/0)(n=3-8).It is found that the photoelectron spectra of AuC_(n)^(-)exhibit odd-even alternation.The spectral features of AuC_(3)^(-),AuC_(5)^(-),and AuC_(7)^(-)are much broader than those of AuC_(4)^(-),AuC_(6)^(-),and AuC_(5)^(-).The vertical detachment energies of AuC_(3)^(-),AuC_(5)^(-),and AuC_(7)^(-)are lower than those of AuC_(4)^(-),AuC_(6)^(-),and AuCs_(8)^(-).The most stable structures of AuC_(n)^(-)(n=3-8)are chain structures.The most stable structures of neutral AuC_(n)(n=3-8)are linear structures except that those of AuC_(3) and AuC_(5) are slightly bent.The calculated∠AuCC angles,Au-C bond lengths,and the charges on Au atom also show odd-even alternations,consistent with the experimental observations.

Microscopic Mechanism of Large Fluctuation in Odd-Even Differences in Moments of Inertia for Actinide Nuclei

The experimental large fluctuation in odd-even differences in moments ofinertia of deformed actinide nuclei is investigated using the particle-number conserving (PNC)method for treating the cranked shell model with monopole and quadrupole pairing interactions. PNCcalculations show that the large odd-even difference in moments of inertia mainly comes from theinterference contributions j(μv) from particles in high j intruder orbitals μ and v quite near theFermi surface, which have no counterpart in the BCS formalism. The effective monopole andquadrupole pairing interaction strengths are determined to fit the experimental odd-even differencesin binding energies and bandhead moments of inertia. The experimental results for the variation ofmoments of inertia with rotational frequency ω are reproduced well by the PNC calculation. Thenearly identical experimental moments of inertia between ~(236)U(gsb) and ~(238)U(gsb) at lowfrequencies hω ≤ 0.20 MeV are also reproduced quite well.

DFT Study of Charge Effect on the Odd-even Oscillatory Behavior in Stabilities for Gold Clusters

The comparative study of charge effect on the size-dependence stabilities of gold clusters Aun^z （n = 2-12, z = 0/±1） in gas phase is performed at the M06-L/Lanl2dz level. The lowest-energy structures charged by -1, 0 and ＋1 are optimized. The result shows that the geo- metries of the clusters with over 7 atoms tend to be cake-like. From the two- to three-dimensional geometries, the oscillatory behaviors are exhibited in the structural and electronic properties with the most pronounced in energy gap. The amplitude for the positive clusters is bigger than both the neutral and negative clusters. The neutral clusters with even number of even-coordinated atoms are more stable than the neighbors with odd number of even-coordinated atoms, as is completely reversed for the charged clusters. The oscillatory behaviors for the charged clusters are opposite to that for the neutral clusters, as is attributed to the electron-paired effect.

（N-Z） Odd-Even Effect for the Non-Equilibrium Mechanism of （p, n） Reactions

The neutron spectra and angular distributions from （p,n） reactions in the input proton energy range 6-25 MeV were analyzed. These are the old experimental data, however, re-analysis of these data reveals very interesting peculiarities which never have been discussed before. The high energetic part of neutron spectrum due to the direct mechanism changes considerably from one isotope to other. This difference was described with incorporation of two components which provide the ＂broad bump＂, or ＂step like＂ shape of neutron spectra at high energy. The properties of these components are： different shape, energy shift between them, and very strong fluctuation between different isotopes for ratio of cross sections connected with partial contribution. One may conclude that shape of non-compound neutron spectrum demonstrates very strong （N-Z） odd-even effect. The direct comparison of experimental data, and semi-empirical results with （p,n） spectra predicted by the EMPIRE code, gave evidence that the traditional approach cannot predict this effect. New finding may explain the ＂constant temperature＂ dependence for level density in mass range A-60 discussed in several investigations. These new experimental peculiarities were demonstrated, and it may be considered as reality. At the same time there is not consequent physical model for their explanation. The fact that spectrum shape is correlated with N-Z value may give a hint that discussed effects are connected with ＂halo-neutrons＂.

Amplitude-squared squeezing of the generalized odd-even coherent states of the anharmonic oscillator in a finite-dimensional Hilbert space

This paper discusses the properties of amplitude-squared squeezing of the generalized odd-even coherent states of anharmonic oscillator in finite-dimensional Hilbert space. It demonstrates that the generalized odd coherent states do exhibit strong amplitude-squared squeezing effects in comparison with the generalized even coherent states.

Generalized Odd-Even Mode Theory and Mode Synthesis Antenna Design Approach

In this article,studies on the multimode excitation problem of waveguides and antennas,the balance/unbalance mech-anism and the balanced feeding techniques in dipole antenna systems are first briefly historically reviewed.In this context,general-ized odd-even mode theory is advanced to quantitatively and approximately describe the mutual coupling effect between a feed line and an antenna.As is mathematically deduced and demonstrated,the modal parity mismatch between the feed line and the antenna should ultimately dominate the unbalance phenomenon in antenna systems.Thus,an elegant,closed-form formula is derived to ap-proximately calculate the“unbalance degree”of a straight dipole off-center fed by a symmetric twin-wire line.Design approaches for the simplest,linear,1-D multimode resonant antennas are introduced.Moreover,the“falling tone excitation”law gauged based on prototype dipoles is revealed and used to develop a mode synthesis design approach for microstrip patch antennas(MPAs)and 2-D sectorial electric dipole antennas.Design examples with distinctive radiation performance are presented and discussed.Finally,possible development trends of multimode resonant antennas are prospected.

奇偶相干态信号场下的量子关联和纠缠

为了实现两原子之间的非经典关联,借助于电磁诱导光透明(electromagnetically induced optical transparency,EIT)机制,利用量子态的映射技术,研究原子系综内两原子的量子关联和纠缠。结果表明:分别通过测量扰动刻画的量子关联和并发度刻画的量子纠缠,发现它们都能够被绝热地生成,但是,随着平均光子数的增加,二者的演变完全不同。随着平均光子数的增加,无论信号场是奇数相干态还是偶数相干态,它们都有利于量子关联的生成。对于奇相干态信号场,量子纠缠随着光子数的增加而逐渐减小;对于偶相干态信号场,量子纠缠却经历了一个先增加后减小的过程。系综内原子个数的增加,使得原子间的退相干加剧,从而导致量子关联和纠缠都被削弱。

基于优化奇偶重构法的光伏阵列自适应重构技术设计

对于光伏阵列而言,阴影遮挡和阵列损坏会导致其输出功率降低。为了提升光伏阵列的输出功率,提出了一种优化的奇偶重构方法(Optimized Odd Even Configuration,OOEC),纠正了奇偶重构法(Odd Even Configuration,OEC)在局部阴影超过4列时,重构效果差的缺点。所提出的方法将光伏阵列分为自由重构模块和固定重构模块,根据不同的阴影情况调整连接方式,确定最佳的连接关系,并与Arrow So Du ku,Zig-zag,OEC三种方法进行仿真实验对比,仿真结果表明,经过OOEC重构后的光伏阵列输出功率明显提高,光伏阵列的PU输出特性曲线更加趋向于单峰,并且从失配损耗,功率提升百分比,性能比,均衡指数上看来,OOEC有着更好的性能。

Pell方程组x^(2)-40y^(2)=1与y^(2)-Dz^(2)=9的公解

设D=2p_(1)⋯p_(s)(1≤s≤4),其中p_(1),⋯,p_(s)是互不相同的奇素数。主要利用奇偶分析、同余、递归序列以及Pell方程解的性质等初等方法,对Pell方程组x^(2)-40y^(2)=1与y^(2)-Dz^(2)=9的公解进行研究。得出当D≠2×7×103时,该方程组仅有平凡解(x,y,z)=(±19,±3,0);当D=2×7×103时,除了平凡解(x,y,z)=(±19,±3,0)外,还有非平凡解(x,y,z)=(±27379,±4329,±114)。研究结果丰富了这类Pell方程组整数解的研究内容。

基于改进型双模分数阶重复控制器的高速磁悬浮电机谐波电流抑制

主动磁悬浮轴承系统的转子不平衡和传感器跳动会使系统产生谐波电流,从而导致谐波振动。重复控制器能同时抑制同频和倍频谐波,但传统重复控制器必须确保控制系统的采样频率与实际转频之比为整数,极大地限制了其适用性。为解决此问题,设计了一种改进型双模分数阶重复控制器。采用拉格朗日插值法将分数阶变为整数,解决了重复控制的非整数延迟问题;通过双支路独立地消除奇偶次谐波,第1次、2次、3次、4次和5次谐波分别降低了87.9%、61.3%、86.9%、36.9%和85.3%。仿真和试验结果验证了改进型重复控制器对谐波电流抑制的精确性和有效性。

基于两平晶三面互检的折射率均匀性测量方法

结合奇偶函数理论,提出了一种基于两平晶三面干涉测量平晶折射率均匀性的方法。该方法通过两块平晶3个表面之间的组合测量,对折射率均匀性引入的误差进行分部求解,生成4个随机波面作为初始3个表面面形和折射率均匀性误差,对其中的均匀性误差复原,结果与初始值仅相差0.6×10-6,残差与平晶表面面形的低频信息无关,仅取决于折射率均匀性本身的旋转不变项。在100 mm口径Zygo干涉仪上完成了两平晶折射率均匀性检测实验。同时通过三平晶透射法对同一块平晶的折射率均匀性进行检测,将两种方法的测量结果进行对比。结果表明两平晶方法获得的折射率均匀性结果与透射法获得的折射率均匀性波面形状相同,指标结果仅相差0.2×10-6,波面偏差峰谷值相差3 nm。分析了影响评估精度的误差项,旋转角度误差与对准误差的影响在实验精度条件下,均方根偏差均小于1 nm。实验结果表明所提出的两平晶三面互检方法能够有效地对平晶的折射率均匀性进行测量。

外加静电场对O_(2)分子高次谐波的调制机制(特邀)

采用了Lewenstein强场近似方法,计算了外加静电场对O_(2)分子在线偏振激光场中高次谐波产生的影响。结果表明:1)当静电场方向平行激光偏振方向时,谐波谱出现双平台结构,截止频率增大,偶次和奇次谐波幅度相当;2)当静电场方向垂直时,谐波谱呈现单平台结构,偶次谐波比奇次谐波的幅度小两个量级左右;3)外加静电场对双心干涉极小值的位置基本没有影响。利用Lewenstein理论,可以将分子谐波谱视为分子两端电离通道产生谐波的叠加,对外加静电场控制高次谐波提供了参考。

Pell方程组x^(2)-33y^(2)=1与y^(2)-Dz^(2)=16的公解

利用奇偶分析、递归序列、同余和Pell方程的解的性质等一些初等方法,对D=2p1……ps(1≤s≤4),其中p1,…,ps是互不相同的奇素数时,Pell方程组x^(2)-33y^(2)=1与y^(2)-Dz^(2)=16的公解进行了研究.得到除开D=2×7×151,方程组有非平凡解(x,y,z)=(±48599,±8460,±184)这一基本情况之外,仅有平凡解(x,y,z)=(±23,±4,0),从而推进了这类Pell方程组整数解的研究.

基于人工表面等离子激元的宽带谐振天线

针对传统微带和介质谐振天线(DRA)带宽较窄和尺寸较大的问题,提出了一种基于人工表面等离子激元波导谐振腔的宽带天线。该天线人工表面等离子激元(SSPPs)波导由对称的H型单元结构组成,谐振腔由同轴探针馈电,利用波导单元偶模和奇模两种模式的色散特性,实现了天线带宽的显著增大。该天线工作频段为8.8~12.4 GHz,相对带宽为33.9%。在工作频带内,天线的辐射效率大于92%,最大增益达到了6.8 dBi。此外,天线为低剖面结构,整体尺寸较小,结构简单,利于各种无线通信和传感系统的集成。

Abnormal odd-even staggering behavior around^132Sn studied by density functional theory

In this work,we have performed Skyrme density functional theory(DFT)calculations of nuclei around^132Sn to study whether the abnormal odd-even staggering(OES)behavior of binding energies around N=82 can be reproduced.With the Skyrme forces SLy4 and SkM*,we tested the volume-and surface-type pairing forces and also the intermediate between these two pairing forces,in the Hartree-Fock-Bogoliubov(HFB)approximation with or without the Lipkin-Nogami(LN)approximation or particle number projection after the convergence of HFBLN(PLN).The Universal Nuclear Energy Density Function(UNEDF)parameter sets are also used.The trend of the neutron OES against the neutron number or proton number does not change significantly by tuning the density dependence of the pairing force.Moreover,for the pairing force that is favored more at the nuclear surface,a larger mass OES is obtained,and vice versa.It appears that the combination of volume and surface pairing can give better agreement with the data.In the studies of the OES,a larger ratio of surface to volume pairing might be favored.Additionally,in most cases,the OES given by the HFBLN approximation agrees more closely with the experimental data.We found that both the Skyrme and pairing forces can influence the OES behavior.The mass OES calculated by the UNEDF DFT is explicitly smaller than the experimental one.The UNEDF1 and UNEDF2 forces can reproduce the experimental trend of the abnormal OES around^132Sn.The neutron OES of the tin isotopes given by the SkM*force agrees more closely with the experimental one than that given by the SLy4 force in most cases.Both SLy4 and SkM*DFT have difficulties in reproducing the abnormal OES around^132Sn.Using the PLN method,the systematics of OES are improved for several combinations of Skyrme and pairing forces.

Odd-even staggering for production cross sections of nuclei near the neutron drip-line

In our previous studies[Phys.Rev.C 97,044619(2018);Phys.Rev.C 103,044610(2021)],a universal odd-even staggering(OES)has been observed in extensive cross sections of isotopes not far from stability,measured for different fragmentation and spallation reactions.Four OES relations have been proposed on the basis of this OES universality.However,it is still unclear whether this OES universality and OES relations are applicable to many isotopes near the drip-lines.Here,the OES in recent experimental cross sections of very neutron-rich nuclei approaching the drip-line(from ^(76)Ge,^(82)Se+^(9)Be)is quantitatively investigated,to further validate the OES universality and OES relations.The OES magnitudes in these experimental data approaching the neutron drip-line generally agree with those evaluated previously,mainly from experimental data near stability.New OES evaluations de-rived from these experimental data are also recommended for more exotic nuclei near the neutron drip-line,which extends the conclusions of our previous OES studies.In addition,the OES relation calculations are consistent with these experimental data of very neutron-rich nuclides according to their comparisons in this work.Finally,comparisons with additional experimental data(from ^(238)U+^(9)Be)also support that new OES evaluations and OES relation calculations can be applied for exotic nuclei near the neutron drip-line.