撞击诱导硝基甲烷分子第一步分解反应的动力学计算

本文基于分子温度与压强的关系,计算在不同压强下基态和最低三态硝基甲烷的分子温度,对应计算其沿着CN键裂解反应的热化学和动力学参数.发现基态的硝基甲烷沿着CN键的分解反应是吸热反应,不具自发性,反应转换温度为1550.2 K,平衡常数在80-1202 K温度范围内很低.最低三态的硝基甲烷沿着CN键的裂解是放热反应,反应的Gibbs自由能在80-2558.5 K范围内为负,有好的自发性,且反应较为彻底.298.15-2558.5 K温度范围内反应活化能随着温度的升高而改变,使反应速率随着温度的升高而急剧增大.对应硝基甲烷爆压15 GPa,其分子温度为4617.6 K,该温度下三态分子分解反应的反应速率为1.088×10~8cm~3·mol~(-1)·s~(-1).推算硝基甲烷沿着CN键分解反应混合物的终态温度,当混合物为硝基、甲基和基态的硝基甲烷分子时,反应的终温为1611.37 K,等效能为1676.47 cm~(-1).当混合物为硝基、甲基、基态和最低三态的硝基甲烷分子时,反应的终温为1184.79 K,等效能为1232.65 cm~(-1).两种情况下终态等效能都足以维持硝基甲烷分子沿C-N键裂解反应的发生.这个能量也足以导致混合物中的NO_2分解为NO和O,这与实验检测的结论相一致.     

凝聚态硝基甲烷分解机理的密度泛函研究

用密度泛函理论在B3LYP/6-311++G(2d,2P)计算水平上对最低单态和最低三态的硝基甲烷分子进行了分子动力学计算分析,发现:基态硝基甲烷分子沿C-N键分解生成硝基和甲基反应通道上不存在过渡态,只能是在能量足够高的时候造成C-N键的断裂,键离解能为53.4kcal/mol;硝基甲烷分子在最低三态沿C-N键分解生成硝基和甲基的反应通道上,有一个活化能为87.8kcal/mol的能垒.计算得到硝基甲烷分子从基态到最低三态分解反应发生所需要的总能量为144.58kcal/mol.这个数值与硝基甲烷材料的电子碰撞实验在193nm处有强吸收峰的结论相符合.依据多声子迁移理论,结合硝基甲烷分子在最低三态动力学分解的可能性,可以认为在相同条件下,硝基甲烷材料在撞击条件下,分子沿CN键分裂生成硝基和甲基的反应在最低三态分子分解的可能性较大.文章用量化计算从分子构型、频率分析和势能面扫描方面对分析结论进行了加强和确定,并且,依据多声子迁移理论对硝基甲烷分子基态键离解过程、基态到三态激发过程和最低三态活化过程中的声子迁移进行了初步分析.     

凝聚态硝基甲烷分解机理的密度泛函研究

用密度泛函理论在B3LYP/6-311++G（2d,2P）计算水平上对最低单态和最低三态的硝基甲烷分子进行了分子动力学计算分析,发现,硝基甲烷分子基态沿C-N键分解生成硝基和甲基反应通道上不存在过渡态,只能是在能量足够高的时候造成C-N键的断裂,键离解能为53.4kcal/mol;硝基甲烷分子在最低三态沿C-N键分解生成硝基和甲基的反应通道上,有一个活化能为87.8kcal/mol的能垒。计算得到硝基甲烷分子从基态到最低三态份分解反应发生所需要的总能量为144.58kcal/mol.这个数值与硝基甲烷材料的电子碰撞实验在193nm处的有强吸收峰的结论相符合。依据多声子迁移理论,结合硝基甲烷分子在最低三态动力学分解的可能性,可以认为在相同条件下,硝基甲烷材料在撞击条件下,分子沿C-N键分裂生成硝基和甲基的反应在最低三态分子分解的可能性较大。文章用量化计算从分子构型、频率分析和势能面扫描方面对分析结论进行了加强和确定。并且,依据多声子迁移理论对硝基甲烷分子基态键离解过程、基态到三态激发过程和最低三态活化过程中的声子迁移进行了初步分析。     

高压下固相硝基甲烷分解的分子动力学计算

基于ReaxFF, 采用NVT系综和Berendsen方法对0–7 GPa时和2500 K时固相硝基甲烷的 分解过程进行分子动力学计算, 通过分析硝基甲烷发生分解反应生成的碎片数量随时间的变化, 对不同压强下硝基甲烷的分解机理进行研究. 计算结果表明在0–3 GPa时, 初始分解路径为C–N键断裂和硝基甲烷的异构化; 在4–7 GPa 时, 初始分解路径为分子间质子转移和C–N, N–O键的断裂; 在硝基甲烷的第二阶段反应中存在H₂O, NO, NO₂, HONO, 硝基甲烷分子自身的催化反应. 硝基甲烷在高温高压下发生热分解反应生成碳团簇, 且团簇中碳原子的数量和碳团簇的空间构型随着压强的变化而变化. 关键词： ReaxFF 分子动力学 热分解 压强效应 碳团簇     

气固氢化反应热力学函数计算的近似方法

在有效原子实势近似下, 采用Gaussian 98程序及B3LYP/SDD密度泛函方法计算得到了ZrCo和ZrCoH分子的结构及能量E、熵S. 在此基础上, 近似以气态分子总能量中的振动能Ev代替该分子处于固态时的振动能量, 以电子运动和振动运动熵Sev代替分子处于固态的熵, 计算了不同温度下固态ZrCo与H2, D2, T2反应的热力学函数ΔH, ΔG, ΔS及氢化反应平衡压力, 导出了氢化反应温度与平衡压力的依赖关系. 计算得出ZrCoH, ZrCoD, ZrCoT的生成焓(398-598 K)分别为82.81 , 81.54和80.49kJ/mol, 与实验结果很好符合.     

ZnSeH分子微观性质及热力学性质的从头计算

用密度泛函B3LYP方法对ZnSeH分子体系进行了理论研究,优化得到ZnSeH分子的微观构型及不同温度下的热力学函数值.ZnSeH为角型分子,RZn-Se=0.239?5?nm、RSe-H=0.148?5?nm、角αZnSeH=94.832°.设用总能量中的电子和振动能量近似代表ZnSeH分子处于固态时的能量,用总熵中的电子和振动熵近似代表ZnSeH分子处于固态时的熵,进而计算了Zn与HSe反应的△H0、△S0、△G0,并由此计算出不同温度的反应平衡常数Kp.结果表明在298～1 098 K温度范围内,Zn与HSe反应能够自发发生,且随着温度的升高,△G0逐渐增大,平衡常数逐渐减小,自发反应进行程度越小.     

CeO2热力学性质的第一原理研究

使用第一性原理方法结合准谐德拜模型研究压力0～30 GPa,温度0～2000 K,二氧化铈立方结构的热力学性质,包括常压下平衡体积V、体弹模量BO、热容cp和熵S随温度的变化以及不同压强下热容cp、熵S、德拜温度Θ,体膨胀系数α与温度的关系.常压下计算的热容cp和熵S随温度的变化与实验数据符合很好.     

高温高压下合金碳化物Fe3Mo3C热力学性质的第一性原理计算

基于平面波赝势密度泛函理论的第一性原理与准谐德拜模型结合的方法研究了高温高压下合金碳化物Fe₃Mo₃C的热力学性质.在压强范围为0～40 GPa和温度范围为0～1200 K的条件下,Fe₃Mo₃C的体积比V/V₀、体弹性模量B和德拜温度θ受压强的影响比温度更大.温度一定时,体弹性模量和德拜温度随压强的增大而迅速增大. Fe₃Mo₃C的热容C_v、熵S以及热膨胀系数α受温度的影响较压强更大.压强一定时,材料的热容、熵以及热膨胀系数均随温度升高单调增大,其中,热容和热膨胀系数随温度先快速上升后趋于平缓,最后热容接近于Dulong-Petit极限.     

电子振动近似理论和氢同位素在金属钛中的溶解度(三)

本文论述了电子-振动近似理论,并应用于TiH2、TiD2和TiT2基态3A2的计算,即用单个分子TiH2、TiD2和TiT2中的电子和振动能量和熵近似代表他们处于固态时的能量和熵,所得到的金属钛的氢化热力学函数ΔH0、ΔS0、ΔG0以及平衡压力与温度的关系,与文献符合很好.这表明电子振动近似理论的可应用性.计算方法为密度泛函理论B3P86/6-311G**.在此基础上进一步计算氢同位素在金属钛中的溶解度,结果合理.     

金属锡表面吸附氢同位素的量子力学计算

根据原子分子反应静力学与群论,确定了H2、D2和T2的基电子状态为1∑+g(D∞v),SnH、SnD和SnT的基电子状态为2∑+( C∞v).应用基函数SDD**和6-311G**,密度泛函B3P86方法,计算了氢同位素分子及其锡化物的结构、能量E、定容热容Cv和熵S.H2 (D2, T2) ,SnH(D , T)和SnH2(D2, T2)的基电子状态分别为1∑+g(D∞h ),2∑+(C∞v)和3B1(C2v).H2、D2和T2的离解能为4.591 8 eV,SnH(D, T)分子的离解能为2.714 7 eV,SnH2(D2, T2)分子的离解能为4.833 9 eV.用总能量中的电子和振动能量近似代表SnHn、SnDn和SnTn(n=1,2)分子处于固态时的能量,用总熵中的电子和振动熵近似代表SnH、 SnD和SnT分子处于固态时的熵,从而计算了锡与H2、D2和T2反应过程的△Hf°,△Sf°,△Gf°和平衡压力, 并导出他们与温度的函数关系.X     

Self-organization of five species in a cyclic competition game

Cyclic competition game models, particularly the “rock–paper–scissors” model, play important roles in exploring the problem of multi-species coexistence in spatially ecological systems. We propose an extended “rock–paper–scissors” game to model cyclic interactions among five species, and find that two of the five can coexistent when biodiversity disappears, which is different from the “rock–paper–scissors” game. As the number of fingers is five, we named the new model the “fingers” game, where the thumb, forefinger, middle finger, ring finger, and little finger cyclically dominate their subsequent species and are dominated by their former species. We investigate the “fingers” model in two ways: direct simulations and nonlinear partial differential equations. An important finding is that the number of species in a cyclic competition game has an influence on the emergence of biodiversity. To be specific, the “rock–paper–scissors” model is in favor of maintaining biodiversity in comparison with the “fingers” model when the variables (population size, reproduction rate, selection rate, and migration rate) are the same. It is also shown that the mobility and reproduction rate can promote or jeopardize biodiversity.     

Experimental study on downstep in Chinese intonation

Downstep in pitch contour of Chinese Putonghua is examined using subtly designed sentences by controlling tone combinations. The results show both automatic and nonautomatic downstep phenomena exist in Chinese. In non-automatic downstep, low tones compress downwards the pitch range of the following syllables. and the main influence of downstep is on topline. Low tone not only lower the topline behind it, but also raise the high tones before it, the effects are compatible with each other. In automatic downstep, the topline of pitch contour in intonational phrase is presented as a linear downtrend, but it differs among speakers due to the effect of personal stress practice. In comparison with downstep phenomenon in other tone or non-tone languages, the downstep ratio in Chinese is not constant, and the domain of downstep is not limited within the adjacent tones.     

Contrastive analysis on tone between Putonghua and Taiwan Mandarin

The differences of the pitch and duration of Chinese syllables between Putonghua （PTH） and Taiwan Mandarin （TM） were studied. The speech materials to be used are not only isolated syllables, but also sentences. The results reveal that： For the isolated syllables, T1 and T2 in TM are influenced by Minnan dialect, therefore their pitch are lower than those in PTH. T3 is fall-rise in PTH, while it is fall in TM. Moreover, the syllable duration sequence for different tone is T3〉T2〉T1〉T4 in PTH, while it is T1〉T2〉T3〉T4 in TM. For the syllables in sentences, T2 is mid-rise in PTH, while it is mid-level in TM. And the T3 is longer than T4 but shorter than T1 or T2 in PTH, while it is the shortest in TM. Furthermore the effects of prosodic phrase boundary on duration for different tones are almost the same in PTH, but the lengthening part of T1 or T2 is longer than that of T3 or T4 in TM.     

Abelian-Higgs phase of SU(2) QCD and glueball energy

It is shown that SU(2) QCD admits an dual Abelian-Higgs phase, with a Higgs vacuum of a type-Ⅱ superconductor. This is done by using a connection decomposition for the gluon field and the random-direction approximation. Using a bag picture with soft wall, we presented a calculational procedure for the glueball energy based on the recent proof for wall-vortices [Nucl. Phys. B 741(2006)1].     

Signal generation in an isotropic medium in scanning electron acoustic microscope

Based on the research in Ref. [5][Materials Science and Engineering, 1989; A122： 57 63], an improved model of heat source is set up, the different modes of Lamb wave in an isotropic sample generated by a chopped electron beam at frequency f are obtained with integral transform and normal function expansion method, and the output signal of PZT coupled at the back surface of the sample is found out. The generation mechanism of SEAM （Scanning Electron Acoustic Microscopy） signal is discussed. It shows that the SEAM is a near field imaging technique with high spatial resolution and its best lateral spatial resolution is about 2√2α （α is the radius of the focused electron beam）. Some of experimental results of SEAM images are presented in the paper and it shows that the spatial resolution of SEAM is better than 0.5 μm and smaller than the thermal diffusion length of the sample. Therefore the character of near field imaging in SEAM is also proved experimentally.     

High efficiency filtering using two-dimensional photonic crystal coupled cavity structures

Transmission spectra of coupled cavity structures (CCSs) in two-dimensional (2D) photonic crystals (PCs) are investigated using a coupled mode theory, and an optical filter based on CCS is proposed. The performance of the filter is investigated using finite-difference time-domain (FDTD) method, and the results show that within a very short coupling distance of about 3λ, where λ is the wavelength of signal in vacuum, the incident signals with different frequencies are separated into different channels with a contrast ratio of 20 dB. The advantages of this kind of filter are small size and easily tunable operation frequencies.     

Real-time restoration of rotational blurred image using gradient-loading

The key to the restoration of rotational motion blurred image is how to restore the image under a low cost and to correct the irreversibility of the degradation function matrix.Based on the special qualities of degradation function matrix and precise deduction in space-domain, we present a new approach using gradient-loading for restoration of rotational blurred image.By easily adding a gradient operator, the irreversibility of the original matrix is corrected and can be applied for inverse filtering then.Gradientloading is the optimized approach which combines the advantages of both the approaches using constrained least square filtering and traditional diagonal-loading.Compared with the approach using least square filtering, its peak signal-to-noise ratio (PSNR) is improved from 3.18 to 6.46dB, while the computing time is reduced to 1/2-1/3.Experimental results demonstrate the effectiveness, noise-resistibility, robustness, and low complexity of this approach, which make it more suitable for real-time environment.     

All-Optical Logic Device Using Bent Nonlinear Tapered Y-Junction Waveguide Structure

We propose an all-optical logic device made of a bent tapered Y-junction waveguide with a Kerr-type nonlinear interface. It could provide an AND gate, OR gate, and exclusive-OR (XOR) gate. We could obtain different transmission results by adjusting the bending angle. The numerical simulation results show that the device functions as AND, OR, and XOR gates.     

Real-time, continuous-wave terahertz imaging by a pyroelectric camera

Real-time, continuous-wave terahertz (THz) imaging is demonstrated. A 1.89-THz optically-pumped farinfrared laser is used as the illumination source, and a 124 × 124 element room-temperature pyroelectric camera is adopted as the detector. With this setup, THz images through various wrapping materials are shown. The results show that this imaging system has the potential applications in real-time mail and security inspection.