Ring-puckering combination band spectra of 1,3-disilacyclobutane in the SiH2 stretching region

Three sets of sum bands and two sets of difference bands arising from the combination of the ring-puckering vibration with SiH₂ stretching modes have been observed between 2060 and 2260 cm^?1 in the infrared spectrum of 1,3-disilacyclobutane. An unusual feature of the spectrum is that there is little correlation in intensity between corresponding sum and difference bands. An additional sum band and a difference band were also observed in the Raman spectrum. The spectra confirm the low-frequency ring-puckering assignment and verify the position of the weak 2–3 transition near 31 cm^?1. The puckering levels in the excited states of the SiH₂ stretching modes are virtually unshifted relative to the ground state demonstrating that negligible coupling exists between these vibrations. In addition, sum and combination bands have been observed off an SiD₂ stretching mode for 1,3-disilacyclobutane-1,1,3,3-d₄.     

The microwave spectrum of α-d2 oxetane and the analysis of the centrifugal distortion constants of oxetane

The microwave spectrum of the α-d₂ isotopic species of oxetane (trimethylene oxide) has been observed from 26.5 to 40.0 GHz. About 60 lines have been assigned for each of v = 0 to v = 5 in the puckering vibration. The spectra have been interpreted using an effective hamiltonian for each vibrational state including four of the five quartic distortion constants according to Watson's formulation. In general, the lines are fitted to better than ±10 kHz.The zig-zag dependence of the distortion constants on the puckering vibrational quantum number has been quantitatively analyzed for the parent, α-d₂, αα′-d₄, d₆, and α-d₂ species of oxetane and has yielded values for the $\text{a}{}_{\mathrm{<mtext>pucker</mtext>}}{}^{\mathrm{\alpha \beta }}$ constants of these isotopic species.     

On the barriers to planarity and the isotope effect in cyclobutane and cyclobutane-d8

The infrared and Raman data on the ring-puckering vibration in cyclobutane and cyclobutane-d₈ have been reexamined including the coordinate dependence of the reduced mass in the Hamiltonian. This was done for the purpose of estimating the importance of these small terms in the determination of barrier heights for four-membered rings and also on the determination of the dihedral angle corresponding to the potential minimum.The conclusions reached are that there is an isotopic dependence of the barriers to planarity in cyclobutane and cyclobutane-d₈ yielding a difference of ～14 cm^?1, but the precise value of the difference in barrier heights is ill determined. The higher-order kinetic energy terms in the Hamiltonian can account for a spread of ～3 cm^?1 in each of the barriers derived for cyclobutane and cyclobutane-d₈, depending on the details of the model used for the vibration, but not a difference of 14 cm^?1, which undoubtedly indicates the effects of coupling with other vibrational modes. It is also found that the derived values of the dihedral angles are quite sensitive to the details of the vibrational model, in fact, much more so than to the uncertainties in the bond distances and bond angles. A relationship between the potential constants derived for cyclobutane and cyclobutane-d₈ assuming an effective constant reduced mass and those derived for a semirigid model is demonstrated.     

The vapor-phase Raman spectra and the ring-puckering vibration of some deuterated analogs of trimethylene oxide

The ring-puckering vibration has been observed in the Raman spectra of the vapor phase of several deuterated species of trimethylene oxide (α - d₂, β - d₂, α, α′ - d₄, and d₆). Only Δv = 2 transitions have a measurable Raman intensity. The line positions agree with infrared values to better than 0.5 cm⁻¹ in most cases and better than 1 cm⁻¹ in all cases. For all molecules the interpretation of the spectra is consistent with an essentially planar configuration having only a small barrier to inversion.     

Ritz assignment and Watson fits of the high-resolution ring-puckering spectrum of oxetane

Oxetane is a four-membered ring molecule exhibiting a large-amplitude ring-puckering motion. In order to analyze this vibration we recorded a rotationally resolved far-infrared spectrum between 50 and 145 cm⁻¹. The analysis of the ring-puckering fundamental band with the assignment of 1108 lines, has been presented in a previous paper. In the present work we present a list of further 6531 assigned transitions between the five lowest excited ring-puckering states. The 4983 term values involved in the transitions assigned in this and in the preceding work have been evaluated by the “Ritz” program, and are now available. An A-reduced Watson Hamiltonian in any of the three representations I^r, II^r, and III^r was used to perform a fit of the assigned transitions. Precise rotational constants and quartic as well as a full set of sextic centrifugal distortion constants were obtained for the investigated ring-puckering states. For the first time, high-resolution values for the vibrational G_v parameters have been obtained, and we have added terms in x⁶ and x⁸ to the double minimum-potential well describing the ring-puckering motion, in order to reproduce their values within the experimental accuracy. The same potential still reproduces the lower resolution values of the Q-branch origins involving higher ring-puckering states up to v_rp=14 found in the previous literature.     

Luminescence study of the 4f5d configuration of Nd in LiYF4, LiLuF4 and BaY2F8 crystals

Ultraviolet fluorescence of Nd³⁺ ions induced by triphotonic excitation process was studied in Nd-doped LiYF₄, LiLuF₄ and BaY₂F₈ crystals using a technique of time-resolved spectroscopy. The observed ultraviolet luminescence was due to transitions between the bottom of 4f²5d configuration and 4f³ states of Nd³⁺ ions. Narrow emission lines superposed to the broadband emissions were observed. A detailed analysis of luminescence spectrum revealed that the narrow emissions are due to parity and spin allowed radiative transitions from the Stark levels of ⁴K_11/2(5d) state created by the electrostatic interaction between the 5d electron and the two electrons of the 4f² configuration. The narrow emissions are related to the high spin state (S=3/2) which gives f-f characteristics to the f-d broadband emissions. The narrow emissions superposed to the wide emission correspond to 18%, 34% and 43% of the integrated broadband emission at 262 nm observed in LiYF₄, LiLuF₄ and BaY₂F₈ crystals, respectively. Although the 5d-4f² interaction is observed to be weaker than 5d-crystal field interaction, it is stronger enough to select only the radiative transitions from 4f²5d configuration to 4f³ states that preserves the total spin S=3/2.     

HD structural isotope effect in hydrogen-bonded 2-aminoethanol

The microwave spectra of the d₃ species of intramolecularly hydrogen-bonded 2-aminoethanol (ODCH₂CH₂ND₂) as well as the d₃-O¹⁸, d₃-N¹⁵ and three d₂ isotopic forms have been studied. The r_s O-(D)?N distance of 2.8027(5) Å in the d₃ species is 0.0058(7) Å shorter than the O-(H)?N distance found earlier for the d₀ species (R. E. Penn and R. F. Curl, Jr., J. Chem. Phys.55, 651–658 (1971)). The anomalous r_s structural parameters $\text{r}\text{OH = 1.14}\text{A}\text{?}$ and ∠COH = 103.7°, when corrected for the systematic error caused by the O?N “shrinkage” upon deuteration, become 1.00 Å and 108°, respectively.     

Vibrational spectra and ring-puckering of 2-cyclopenten-1-ones

The mid-infrared, far-infrared, and Raman spectra of 2-cyclopenten-1-one and 2-cyclopenten-1-one-5, 5-d₂ have been recorded. Assignments for each of the thirty vibrational fundamentals have been made for the two molecules. Several ring-puckering transitions were observed in the far-infrared spectrum of each molecule. From these were determined potential functions which establish the planarity of the ring system. The potential functions in reduced form derived for the hyride and deuteride are V = 15.0(Z⁴ + 8.0Z²) cm^?1 and V = 14.2(Z⁴ + 8.8Z²) cm^?1, respectively.     

The vibrational spectra of some isotopic species of propionitrile

The infrared and Raman spectra of CH₃CH₂CN, CH₃CD₂CN, and CD₃CH₂CN, and the infrared spectrum of CH₃CH₂¹³CN were investigated in detail between 6000 and 100 cm⁻¹. Some infrared measurements of other isotopic species are also reported and partial assignments given. All fundamentals of propionitrile-d₀, -d₂, -d₃, and -¹³CN were assigned, together with a large number of mainly binary combination bands for which a general method of assignment is given. Several Fermi resonances were detected and the unperturbed positions of some of the levels involved were calculated. Special attention was paid to the CH stretching vibrations for which persisting wrong assignments exist in the literature, and to the methyl torsion frequencies which were determined for the four isotopic species above. A valence force field was calculated, and the potential energy distribution of the normal vibrations is tabulated.     

The far-infrared spectra and ring puckering potential functions of several deuterated analogs of trimethylene sulfide

The far-infrared spectra in the region of 50–200 cm^?1 of several deuterated analogs of trimethylene sulfide (viz α-d₂, β-d₂, α,α′-d₄ and d₆) are reported. The bands are assigned to ring puckering transitions. The potential constants in the function, V(Z) = A(Z⁴ + BZ²), Z the reduced puckering coordinate, were determined for each compound separately. The barrier height, $\text{AB}{}^2\text{4}$, is found to vary upon isotopic substitution in the quadratic-quartic approximation.     

Microwave spectra and centrifugal distortion constants of oxetane

The microwave spectra of oxetane (trimethylene oxide) and its three symmetrically deuterated isotopic species have been observed on a Hewlett-Packard microwave spectrometer from 26.5 to 40 GHz. For the parent species, the β-d₂ and the αα′-d₄ species, about 300 lines have been assigned for each molecule, and for the d₆ species more than 600 lines have been assigned. The assignments range from v = 0 to v = 5 in the puckering vibration; although they are mostly Q transitions, either 3 or 4 R transitions have been observed for each vibrational state.The spectra have been interpreted using an effective rotational hamiltonian for each vibrational state, including five quartic distortion constants according to Watson's formulation, and a variable number of sextic distortion constants; in general, the lines are fitted to about ± 10 kHz. The distortion constants show an anomalous zig-zag dependence on the puckering vibrational quantum number, similar to that first observed for the rotational constants by Gwinn and coworkers. This is interpreted according to a simple modification of the standard theory of centrifugal distortion, involving the double minimum potential function in the puckering coordinate.     

Calculation of absorption coefficient for the ν1 band of sulfur dioxide

The absorption coefficients S/d of sulfur dioxide have been calculated for the ν₁ band for temperatures from 300 ～ 1500°K, taking the major isotopic species S³⁴O₂ into consideration. The total number of the vibrational transitions considered were 4, 10, 23, 41 and 70 for the temperatures of 300, 600, 900, 1200 and 1500°K, respectively. The vibrational energy was calculated to the second order, and the rotational energy and matrix element were calculated exactly with consideration for the asymmetry of the sulfur dioxide molecule. The line intensities greater than 1·0 × 10^-8 cm^-2 atm^-1 STP were included in the calculations. The wavenumber regions of 1000 ～ 1300 cm^-1 were divided into small intervals of Δω = 10 cm^-1 and the S/d averaged over the Δω were obtained. The S/d and some of the line intensities and positions at 300°K were compared with the experimental results of other workers and good agreement was obtained.     

The Rotational Spectra of H2CCSi and H2C4Si

The microwave rotational spectra of two singlet chains H₂CCSi and H₂C₄Si, have been observed in a pulsed supersonic molecular beam by Fourier transform microwave spectroscopy. Following detection of the singly substituted rare isotopic species and D₂CCSi, an experimental structure (r₀) has been determined to high accuracy for H₂CCSi by isotopic substitution. In addition, the rotational transitions of the ²⁹Si and the two ¹³C isotopic species of H₂CCSi exhibit nuclear spin-rotation hyperfine structure. The component of the spin-rotation tensor along the a-inertial axis is abnormally large for each of these isotopic species, especially for that with ²⁹Si, where the magnitude of C_aa is in excess of 700 kHz.     

氮化钽团簇阴离子Ta3N3-解离吸附N2中的15N/14N同位素交换研究

氮气分子的吸附和活化是固氮研究中的重要过程. 近年来过渡金属氮化物由于在合成氨催化研究中的优异表现而受到广泛关注. 但是,氮化物物种与氮气分子在高温下反应的微观机制仍然不清楚,而该过程对于认识反应中的温度效应以及缩小气相团簇体系和凝聚相体系间的差距具有重要意义. 本文使用质谱观测到氮化钽团簇阴离子Ta₃¹⁴N₃^-和¹⁵N₂在高温下(393∽593 K)发生¹⁵N/¹⁴N同位素交换而产生¹⁴N₂/¹⁵N¹⁴N. 结合理论计算,阐述了同位素交换反应的微观机理以及升高温度对于N₂在Ta₃N₃^-上解离吸附的促进作用. 而在对比实验体系Ta₃¹⁴N₄^-/¹⁵N₂中,观察到升高温度只能加速¹⁵N₂在吸附产物Ta₃¹⁴N₄¹⁵N₂^-上的脱附. 这是由于氮空位是氮化物物种活化氮气的必要条件,而Ta₃N₄^-中由于不存在氮空位因此不能活化和解离氮气. 该研究为合成氨中氮化物物种中氮空位的作用提供了重要信息并且为固氮研究中高效催化剂的设计提供了线索.     

Monte Carlo study of the critical behavior and magnetic properties of La2/3Ca1/3MnO3 thin films

Critical exponents offer important information concerning the interaction mechanisms near the paramagnetic to ferromagnetic transition. In this work a Monte Carlo-Metropolis simulation of the critical behavior in La_2/3Ca_1/3MnO₃ thin films is addressed. Canonical ensemble averages for magnetization per site, magnetic susceptibility and specific heat of stoichiometric manganite within a three-dimensional classical Heisenberg model with nearest magnetic neighbor interactions are computed. The La_2/3Ca_1/3MnO₃ thin films were simulated addressing the thickness influence and thermal dependence. In the model, Mn magnetic ions are distributed on a simple cubic lattice according to the perovskite structure of this manganite. Ferromagnetic coupling for the bonds Mn³⁺-Mn³⁺(e_g-e_g′), Mn³⁺-Mn⁴⁺(e_g-d³) and Mn³⁺-Mn⁴⁺(e_g′-d³) were taken into account. On the basis of finite-size scaling theory, our best estimates of critical exponents, linked to the ferromagnetic to paramagnetic transition, for the correlation length, specific heat, magnetization and susceptibility are, respectively: v=0.56±0.01, α=0.16±0.03, β=0.34±0.04γ and γ=1.17±0.05. These theoretical results are consistent with the Rushbrooke equalitiy α+2β+γ=2.     

Band analysis of the Swan system (d3Πg-a3Πu) of 13C2 and 12C13C molecules

The emission spectrum of the d³Π_g-a³Π_u system (Swan bands) due to ¹³C₂ and ¹²C¹³C molecules has been obtained in a low pressure hollow cathode discharge through a mixture of argon and benzene containing enriched ¹³C (90%). The spectrum was photographed on a 3.4-m Ebert spectrograph (reciprocal dispersion 0.54 Å mm^?1 in the first order). Isotope effect measurements have been carried out to determine the shift between isotopic bands and those emitted by ordinary molecules. The rotational analysis of six ¹³C₂ bands and three bands of ¹²C¹³C has been performed and molecular constants were derived.     

Rotational analysis of bands in the high-resolution infrared spectra of the three species of butadiene-1,4-d2; refinement of the assignments of the vibrational fundamentals

Samples of trans,trans and cis,cis forms of butadiene-1,4-d₂ have been synthesized and found to contain useful amounts of the cis,trans species as a contaminant. Assignments of fundamental frequencies for the three isotopomers of butadiene-1,4-d₂ have been extended and improved from investigations of their Raman spectra as well as their infrared (IR) spectra. High-resolution IR spectra have been recorded for the three isotopomers, and a rotational analysis has been completed for strong bands of each species. Ground state and some upper state rotational constants have been fit. Corresponding ground state moments of inertia compare favorably with equilibrium moments of inertia obtained from B3LYP/6-311++G** theory. Two ¹³C isotopomers are being prepared, and an improved structural analysis of butadiene will soon be available to assess how π-electron delocalization affects its structure.     

Complex zeroes of the d = 3 Ising model: Finite-size scaling and critical amplitudes

By means of an MC simulation of lattices of size 4³ to 8³, we study the distribution of the complex zeroes closest to the real β axis of the d = 3 Ising model. We observe they do scale and we measure in this way ν and A₊/A_-. We obtain the prediction A₊/A_- = 0.45±0.07.     

Carbon-13 Isotopic Species of H2C3, H2C4, and H2C5: High-Resolution Rotational Spectra

The microwave rotational spectra of the carbon-13 isotopic species of H₂C₃, H₂C₄, and H₂C₅ have been observed in a pulsed supersonic molecular beam by Fourier transform microwave spectroscopy. At high resolution all of the rotational lines exhibit hyperfine structure produced by the magnetic interaction between the nuclear spin of ¹³C and the overall rotation of the molecule. The component of the nuclear spin-rotation tensor along the a-inertial axis is large for most isotopic species, especially at the carbene carbon; at this position C_aa is two to three times larger than at other substituted positions along the chain. In contrast to both H₂C₃ and H₂C₃, in H₂C₄C_aa exhibits a pronounced alternation along the carbon chain backbone. Following detection of the five carbon-13 isotopic species and D₂C₅, an experimental structure (r₀) has been determined to high accuracy for H₂C₅.