一类广义强阻尼Sine-Gordon方程的整体解

同时考虑黏性效应及外阻尼作用研究了一类广义强阻尼Sine-Gordon方程-利用Galerkin方法,首先证明了该方程在初值u(x,0)∈H¹₀(Ω),u_t(x,0)∈L²(Ω)的条件下初边值问题存在整体弱解u(x,t),并证明了整体弱解关于初始条件具有 关键词： Sine-Gordon型方程 强阻尼 Galerkin方法 整体解     

在丙酮溶液中18-冠-6与CoCl2配位化合物的NMR研究

本文研究了丙酮溶液中配合物的平衡和结构。建立了一套计算机程序。通过化学位移数值的分析说明在溶液中主要存在两种平衡,并确定了平衡常数k₁₁=2.95×10²l/mol,k₁6.1l/mol以及冠醚络合物的极限化学位移D₁₁^(H)=350Hz,D₁₁^(C)=-290Hz,D₂^(H)=1300Hz,D^(C)=-1600Hz。确认位移机制是电子磁矩和共振核的核磁矩通过空间直接偶极-偶极相互作用。     

一维波动方程反问题求解的正则化方法

讨论了一维波动方程u_{tt-∂x(μ(x)ux)=0在一般的初、边值条件和附加条件下系数μ(x)的求解方法.把反问题归结为一不适定的非线性积分方程组,利用正则化方法克服了反问题的不适定性.}     

Nin(n≤8)团簇的结构

用高斯程序的B3LYP交换相关函数和全电子基组DGDZVP、TZVP优化Ni_n、Ni_n⁺和Ni_n^-(n=2~8),得到这些体系的基态几何构型、离化能、电子亲和能及键能.结果表明:Ni₂,Ni₃,Ni₄,Ni₅和Ni₆团簇的基态分别是5,7,9,11和13重态.表明:Ni₂,Ni₃,Ni₄,Ni₅和Ni₆团簇中分别有4,6,8,10和12个平行自旋的电子,在每一个Ni_n团簇中非耦合的电子最多,这些电子占据不同的轨道,导致每一个Ni_n团簇的能量最小,说明在这些Ni_n团簇中电子平行的效应大于电子耦合的效应,这显然与d电子的离域效应有关,称为自旋极化效应,符合宏特规则.Ni_n、Ni_n⁺和Ni_n^-(n=2~8)体系的磁矩分别是Ni_n具有8μ_B(n=6~8),Ni_n⁺具有9μ_B(n=6~8),Ni_n具有7μ_B(n=4~8).     

带源项的变系数非线性反应扩散方程的精确解

本文利用广义条件对称方法对带源项的变系数非线性反应扩散方程 f(x)u_t=(g(x)D(u)u_x)_x+h(x)P(u)u_x+q(x)Q(u)进行研究. 当扩散项D(u)取u^m (m≠-1,0,1)和e^u两种重要情形时, 对该方程进行对称约化,得到了具有广义泛函分离变量形式的精确解. 这些精确解包含了该方程对应常系数情况下的解. 关键词： 广义条件对称 精确解 非线性反应扩散方程     

波动方程辛算法的迭代求解

对(∂²)/(∂x²)利用中心差商算子,对expt作对角Padé逼近,由波动偏微分方程可得到两类具有O(Δx²+Δt^2l)和O(Δx⁴+Δt^2l)精度的辛格式.对由此类辛格式产生的线性方程组构造了两种迭代解法,并对l=1,2,3,4给出了它们的收敛条件.并进行了数值实验.     

宽脉冲中子注入下中子裂变链统计涨落的数值计算

研究了裂变系统在宽脉冲外中子源注入驱动下裂变链统计涨落问题.提出了概率分布W_n方程的分解-合成数值模拟计算方法,使裂变系统注入中子源数值模拟计算扩展到一般广义条件(具有任意时间分布、注入时间零点t₀概率分布函数P(t₀)和数概率分布S(n)等).同时讨论了应用物理模型的等效条件.将基本前提等效条件从单介质区模型扩展到多介质区模型.为解概率分布W_n方程必备参数提供了计算平均公式.     

一类演化方程的高稳定性的差分格式

考虑一类演化方程u_t=au∂_2k+1(其中a是常数,u∂_2k+1=∂^2k+1u/∂x^2k+1,k=1,2……)的有限差分解法。构造了两类具有高稳定性的显式差分格式。并用引入耗散项的方法建立了两类半显式差分格式,它们是无条件稳定的且可显式地进行计算。     

杂多阴离子的NMR和ESR研究——P-V-W Keggin阴离子的31P、51V、17O-NMR谱

本文合成了六种含有P-V-W和V-V-W Keggin结构的杂多阴离子,并研究了它们的³¹P、⁵¹V、¹⁷O-NMR谱,对于PV_xW_12-xO₄₀^(x+3)-(x=1~4)阴离子,当x=1时,³¹P和⁵¹V-NMR谱只有一条线,并且此线化学位移和pH无关。当x ≥ 2时,谱线数目随着x迅速增加,其原因是几何异构体的数目和类型迅速增加。它们的化学位移δ_p,和δ_v。依赖于溶液的酸性和x,即δ_p,随pH值和x增加而减少,而δ_v,却随pH和x的增加而增加。最后简短讨论了桥氧上质子化的影响。     

关于MgB2/Al2O3超导薄膜电阻转变和各向异性的研究

利用电子束蒸发方法将MgB₂超导薄膜沉积到Al₂O₃(001)衬底上.采用标准的四引线法研究了磁场平行和垂直超导薄膜ab平面下的电阻转变.一个激活能模型 U(T,H)=U₀(1-T/(T_c+δ))ⁿ(1-H/H 关键词： 2/Al₂O₃')" href="#">MgB₂/Al₂O₃ 超导体 电阻转变 各向异性     

Nuclear properties of Z=114 isotopes and shell structure of ~(298)114

The two-neutron separation energies(S_(2n)) and α-decay energies(Q_α) of the Z=114 isotopes are calculated by the deformed Skyrme-Hartree-Fock-Bogoliubov(SHFB) approach with the SLy5,T22,T32 and T43 interactions.It is found that the tensor force effect on the bulk properties is weak and the shell closure at N=184 is seen evidently with these interactions by analyzing the S_(2n) and Q_α evolutions with neutron number N.Meanwhile,the single-particle energy spectra of ~(298)114 are studied using the spherical SHFB approach with these interactions to furthermore examine the shell structure of the magic nucleus ~(298)114.It is shown that the shell structure is almost not changed by the inclusion of the tensor force in the Skyrme interactions.Finally,by examining the energy splitting of the three pairs of pseudospin partners for the protons and neutrons of ~(298)114,it is concluded that the pseudospin symmetry of the neutron states is preserved better than that of the proton states and not all of the pseudospin symmetries of the proton and neutron states are influenced by the tensor force.     

Synthesis of ternary compound in H-S-Se system at high pressures

The chemical reaction products of elemental sulfur (S), selenium (Se), and molecular hydrogen (H₂) at high pressures and room temperature are probed by Raman spectroscopy. Two known compounds H₂S and H₂Se can be synthesized after laser heating at pressures lower than 1 GPa. Under further compression at room temperature, an H₂S-H₂Se and an H₂S-H₂Se-H₂ van der Waals compounds are synthesized at 4 GPa and 6 GPa, respectively. The later is of guest-host structure and can be identified as (H₂S)_x(H₂Se)_(2-x)H₂. It can be maintained up to 37 GPa at least, and the stability of its H₂Se molecules is extended:the H-Se stretching mode can be detected at least to 36 GPa but disappears at 22 GPa in (H₂Se)₂H₂. The pressure dependence of S-H and Se-H stretching modes of this ternary compound is in line with that of (H₂S)₂H₂ and (H₂Se)₂H₂, respectively. However, its hydrogen subsystem only shows the relevance to (H₂S)₂H₂, indicating that this ternary compound can be viewed as H₂Se-replaced partial H₂S of (H₂S)₂H₂.     

Evidence for molecular hydrogen in single crystal silicon

Rutherford backscattering in channeling in combination with elastic recoil detection analysis has been used to study the formation and destruction of hydrogen “supermolecular” complexes (H₂)_n formed in single crystal silicon after hydrogen implantation and annealing in the range 150–800°C. Secondary ion mass spectroscopy has been used to confirm this interpretation by giving direct evidence for H₂. The supermolecular configuration can be interpreted as the nucleus for the formation of bubbles.     

[1ChCl∶2EG]/CrCl3·6H2O离子液体中Cr(Ⅲ)配合物的研究

利用电喷雾质谱(ESI-MS)和紫外-可见吸收光谱(UV-Vis)分析,研究了CrCl₃·6H₂O 浓度为0.1～0.6 mol·L-1的水溶液和[1ChCl∶2EG]/CrCl₃·6H₂O ILs中,Cr(Ⅲ)配合物的存在形式。研究结果表明,在含有CrCl₃·6H₂O的溶液中,Cr(Ⅲ)与Cl-和H₂O形成[Cr(H₂O)_nCl_6-n]n-3配合物,其配合物的优势物种受CrCl₃·6H₂O浓度的影响。水溶液中Cr(Ⅲ) 的优势配合物为[Cr(H₂O)₆]3+与[Cr(H₂O)₅Cl]2+,并随CrCl₃·6H₂O浓度增加,水溶液的UV-Vis吸收光谱峰红移,[Cr(H₂O)₅Cl]2+的相对含量增加。而[1ChCl∶2EG]/CrCl₃·6H₂O ILs中的优势配合物为[Cr(H₂O)₂Cl₄]-和[Cr(H₂O)₃Cl₃],且随CrCl₃·6H₂O 浓度增加,溶液的颜色从浅橙红色逐渐变为深绿色,溶液的UV-Vis吸收光谱峰蓝移,[Cr(H₂O)₃Cl₃]的相对量增加。说明CrCl₃·6H₂O的浓度变化,将影响配体Cl-和H₂O与Cr(Ⅲ)配位结合的配位数,从而影响配合物优势物种的相对量。     

兴凯湖沉积物富里酸荧光特性研究

采集黑龙江省兴凯湖4个点位沉积物样品(样品号HXXD,HXXX,HXDX,HXDB),开展了沉积物富里酸(fulvic acid, FA)荧光特性研究。二维荧光光谱、三维荧光光谱均显示HXXD点位FA的主要荧光峰均出现在较长波长处。FA荧光光谱特征参数分析表明,各点位富里酸腐殖化程度为：HXXD>HXDX>HXDB>HXXX。其中HXXD点位FA以陆源输入为主,而其他点位FA则陆源与水生生物源并存。利用荧光区域积分(FRI)技术,对FA的三维荧光光谱5个区域(Ⅰ-Ⅴ)的荧光响应值比例(percent fluorescence response, P_{i, n})比较证实,所有点位类胡敏酸区域(Ⅴ区)的P_{Ⅴ, n}、类富里酸(Ⅲ区)的P_{Ⅲ, n}均占有较大的比例,同时采用三维荧光区域积分法判断各点位FA腐殖化程度与二维荧光特性结论一致。三维荧光光谱中r_{(A, C)}值与区域积分(FRI)中P_{Ⅴ, n}/P_{Ⅲ, n}及(P_{Ⅴ, n}+P_{Ⅲ, n})/(P_{Ⅰ, n}+P_{Ⅱ, n}+P_{Ⅲ, n})均具有显著的相关性,因此,r_{(A, C)}值是兴凯湖沉积物FA腐殖程度表征的一个方便、快捷的参数。     

分子间多量子相干横向弛豫时间(和自扩散系数)测量的参数优化和数据处理方法

针对测量横向弛豫时间T₂的CPMG脉冲序列和我们所设计的可同时测量高极化单组份单 峰核自旋体系n阶分子间多量子相干横向弛豫时间T_2,n和自扩散系数D_n的改进的CRAZED脉冲序列,分析了影响测量T₂、T_2,n（或D_n）的各种因素,并着重从技术方面讨论了准确测量T_2,n和D_n的实验参数优化和实验数据处理方法.     

Evidence for bicarbonate formation on vacuum annealed TiO2(110) resulting from a precursor-mediated interaction between CO2 and H2O

The reaction of CO₂ and H₂O to form bicarbonate (HCO⁻₃) was examined on the nearly perfect and vacuum annealed surfaces of TiO₂(110) with temperature programmed desorption (TPD), static secondary ion mass spectrometry (SSIMS) and high resolution electron energy loss spectrometry (HREELS). The vacuum annealed TiO₂(110) surface possesses oxygen vacancy sites that are manifested in electronic EELS by a loss feature at 0.75 V. These oxygen vacancy sites bind CO₂ only slightly more strongly (TPD peak at 166 K) than do the five-coordinated Ti⁴⁺ sites (TPD peak at 137 K) typical of the nearly perfect TiO₂(110) surface. Vibrational HREELS indicates that CO₂ is linearly bound at the latter sites with a ν_a(OCO) frequency similar to the gas phase value. In contrast, oxygen vacancies dissociate H₂O to bridging OH groups which recombine to liberate H₂O in TPD at 490 K. No evidence for a reaction between CO₂ and H₂O is detected on the nearly perfect surface. In sequentially dosed experiments on the vacuum annealed surface at 110 K, CO₂ adsorption is blocked by the presence of preadsorbed H₂O, adsorbed CO₂ is displaced by postdosed H₂O, and there is little or no evidence for bicarbonate formation in either case. However, when CO₂ and H₂O are simultaneously dosed, a new CO₂ TPD state is observed at 213 K, and the 166 K state associated with CO₂ at the vacancies is absent. SSIMS was used to tentatively assign the 213 K CO₂ TPD state to a bicarbonate species. The 213 K CO₂ TPD state is not formed if the vacancy sites are filled with OH groups prior to simultaneous CO₂+H₂O exposure. Sticking coefficient measurements suggest that CO₂ adsorption at 110 K is precursor-mediated, as is known to be the case for H₂O adsorption on TiO₂(110). A model explaining the circumstances under which the proposed bicarbonate species is formed involves the surface catalyzed conversion of a precursor-bound H₂O–CO₂ van der Waals complex to carbonic acid, which then reacts at unoccupied oxygen vacancies to generate bicarbonate, but falls apart to CO₂ and H₂O in the absence of these sites. This model is consistent with the conditions under which bicarbonate is formed on powdered TiO₂, and is similar to the mechanism by which water catalyzes carbonic acid formation in aqueous solution.     

Electrical conductivity and defect structure of Mg-doped Cr2O3

The electrical conductivity of Cr₂O₃ nominally doped with 2 mol% MgO has been studied by the four point a.c. technique as a function of the oxygen activity (O₂ + Ar, CO + CO₂ and H₂ + H₂O) in the temperature range 400–1200 °C. It is concluded that Cr₂O₃ doped with MgO is an extrinsic conductor and that the dissolved Mg-dopant is compensated by the formation of electron holes at near atmospheric oxygen pressures and by oxygen vacancies (or possibly interstitial chromium ions) at highly reduced oxygen activities (in CO + CO₂ and H₂ + H₂O gas mixtures). In H₂ + H₂O mixtures Mg-doped chromia also dissolves hydrogen as protons and significantly affects the defect structure and electrical conductivity. The defect structure of the oxide under various conditions is discussed.     

电场诱导(MgO)12储氢的从头计算研究

管状(MgO)₁₂是(MgO)_n的幻数团簇, 非常稳定. 为研究电场对其储氢性能的影响, 本文在B3LYP/6-31G^**水平上研究了电场中H₂在(MgO)₁₂管状结构上的吸附性质. 结果表明 (MgO)₁₂能承受强电场而保持管状结构并被极化, 其偶极矩增大为场强0.01 a.u. 和0.02 a.u.时的9.21和19.39 deb (1 deb=3.33564×10^-30C·m). H₂能稳定吸附在单个Mg/O原子上. 无电场时H₂在Mg上为侧位吸附, 而在O上为端位吸附; 电场中, H₂在Mg和O上均为端位吸附, 且其分子取向沿外电场方向. 由于(MgO)₁₂ 及H₂均被电场极化, 因此H₂在(MgO)₁₂部分位置上的吸附强度显著提高. H₂在3配位的Mg/O上的吸附能由无电场时0.08/0.06 eV分别提高到场强为0.01 a.u.和0.02 a.u.时的0.12/0.11 eV 和0.20/0.26 eV. 电子结构分析表明H₂吸附在Mg原子上时, 向团簇转移电荷, 电场极化效应是其吸附能较无电场时增大的主要原因. 吸附在O原子上时, 一方面由于O阴离子极化效应更强; 另一方面, H₂从(MgO)₁₂得到电荷, 其价轨道与团簇价轨道重叠形成化学键, 因此电场效应更显著. 电场中(MgO)₁₂最多能吸附16个H₂, 相应的质量密度为6.25 wt%.