A simple adiabatic low-temperature calorimeter based on a helium refrigerator system

The construction of an adiabatic calorimeter for the 15-300 K range is described. It is fully automated and set up in a helium refrigerator system. The operation of the calorimeter was tested by measuring the specific heat capacity of a pure copper sample. The results show good agreement with the standard literature values. The specific heat capacity of a magnesium hydride sample was also determined. For MgH₂, the standard molar entropy of S⁰(298.15)=30.64 J mol⁻¹ K⁻¹ was calculated from the obtained data.     

Combined use of adiabatic calorimetry and heat conduction calorimetry for quantifying propellant cook-off hazards

Recent work performed at DERA (now QinetiQ) has shown how accelerating rate calorimetry (ARC) can be used to obtain time to maximum rate curves using larger samples of energetic materials. The use of larger samples reduces the influence of thermal inertia, permitting experimental data to be gathered at temperatures closer to those likely to be encountered during manufacture, transportation or storage of an explosive device. However, in many cases, extrapolation of the time to maximum rate curve will still be necessary. Because of its low detection limit compared to the ARC, heat conduction calorimetry can be used to obtain data points at, or below, the region where an explosive system might exceed its temperature of no return and undergo a thermal explosion.Paired ARC and heat conduction calorimetry experiments have been conducted on some energetic material samples to explore this possibility further. Examples of where both agreement and disagreement are found between the two techniques are reported and the significance of these discussed. Ways in which combining ARC and heat conduction calorimetry experiments can enhance, complement and validate the results obtained from each technique are examined.     

用绝热测试的压力数据计算分解反应的表观活化能

绝热量热技术的广泛应用促进了绝热动力学研究的发展.至今为止，绝热动力学的研究仍是以Townsend 和 Tou在1980年提出的绝热动力学方程为基础.他们利用反应物浓度与温度的关系建立动力学模型，从而求得了反应的活化能.但这种方法在反应体系的温度效应不明显时的应用，就受到很大的限制.因此，本文通过建立用压力表示的动力学方程，充分利用绝热量热中的压力数据，提出了一种计算反应活化能的新方法.同时用这种方法计算了过氧化二叔丁基和2-甲基-5-硝基苯磺酸的绝热分解活化能值，并与文献值和其他计算方法所得结果进行了比较.     

Equilibrium and non-equilibrium transitions studied by adiabatic calorimetry

The principle and recent technical development of adiabatic low temperature calorimetry are described with experimental results taken mostly from the authors' laboratory. Topics on the equilibrium and quasi-equilibrium heat capacities include the separation of the Schottky heat capacity from the experimental data on bromo-hydroxyphenalenone and non-Debye excess heat capacity of a glassy hydrocarbon. Relaxation of glassy crystals of rubidium cyanide and C₆₀ and stabilization of a supercooled phase of methylammonium hexachlorotellurate are discussed. A unique adiabatic calorimeter of top-loading construction recently completed in the authors' laboratory is described along with an experimental result on a glassy liquid prepared at a cooling rate 100 times greater than was possible with a calorimeter of the conventional design.     

On the best quasiclassical adiabatic approximation for partition functions

An explicit proof is given that no sequence of quasi-classical adiabatic approximations in which intrinsic symmetry restrictions are relaxed in any way can give an appropriately approximated partition function smaller than the one directly obtainable in the absence of such a sequence.     

Monte Carlo algorithms for simulating systems with adiabatic separation of electronic and nuclear degrees of freedom

Two Monte Carlo algorithms for the adiabatic sampling of nuclear and electronic degrees of freedom are introduced. In these algorithms the electronic degrees of freedom are subject to a secondary low-temperature thermostat in close analogy to the extended Lagrangian formalism used in molecular dynamics simulations. Numerical tests are carried out for two model systems of coupled harmonic oscillators, and for two more realistic systems: the water dimer and bulk liquid water. A statistical-mechanical discussion of the partition function for systems with adiabatic separation of electronic and nuclear degrees of freedom, but with finite electronic temperature, is presented. The theoretical analysis shows that the algorithms satisfy the adiabatic limit using suitable choices of the electronic temperature, T _elec, the number of electronic moves, R _elec, and the maximum step sizes used for displacements of nuclear coordinates. For quadratic coupling of the nuclear and electronic degrees of freedom, the electronic phase-space volume is independent of the nuclear coordinates. In this case, the sampling of the nuclear coordinate phase-space recovers the correct Born-Oppenheimer limit independent of T _elec, but each electronic degree of freedom contributes an offset of 0.5k _B T′_elec (with T _elec ^′−1=T ⁻¹+T _elec ⁻¹) to the average total energy. For nonquadratic coupling, satisfactory sampling of the nuclear coordinate phase-space requires a low T _elec to limit the ratio of the electronic phase-space volumes at T _elec and T′_elec to be close to unity. Received: 22 December 1998 / Accepted: 5 January 1999 / Published online: 21 June 1999     

Time-dependent density-functional and reduced density-matrix methods for few electrons: Exact versus adiabatic approximations

To address the impact of electron correlations in the linear and non-linear response regimes of interacting many-electron systems exposed to time-dependent external fields, we study one-dimensional (1D) systems where the interacting problem is solved exactly by exploiting the mapping of the 1D N-electron problem onto an N-dimensional single electron problem. We analyze the performance of the recently derived 1D local density approximation as well as the exact-exchange orbital functional for those systems. We show that the interaction with an external resonant laser field shows Rabi oscillations which are detuned due to the lack of memory in adiabatic approximations. To investigate situations where static correlations play a role, we consider the time-evolution of the natural occupation numbers associated to the reduced one-body density matrix. Those studies shed light on the non-locality and time-dependence of the exchange and correlation functionals in time-dependent density and density-matrix functional theories.     

Thermal properties of [Cr(NH3)6](BF4)3 studied by adiabatic and relaxation calorimetry

Four (solid–solid) phase transitions were detected in the temperature range of (9 to 300) K in polycrystalline [Cr(NH₃)₆](BF₄)₃ at T_C1 = 240.7 K, T_C2 = 108.0 K, T_C3 = 91.9 K, and T_C4 = 61.3 K by adiabatic calorimetry. The measurements by relaxation calorimetry were followed on lowering temperature from 20 K down to 0.35 K under six different external magnetic field values (9, 7, 5, 3, 1 and 0) T. For non-zero values of applied magnetic field well-defined Schottky anomaly appears. Magnetic heat capacity was calculated assuming the zero-field splitting for the decoupled Cr(III) ions. There is no discrepancy between the observed and calculated values. Isothermal magnetization curve recorded up to 5 T was measured at temperature of 1.8 K.     

The inversion of spectroscopic data to the diatomic effective Hamiltonian containing the generalized potential energy function. Ground state of PbO

A method of inversion of spectroscopic data of a diatomic molecule to the effective Hamiltonian containing adiabatic and non-adiabatic corrections is reported. The method is based on the use of a previously suggested generalized potential energy function with correct long-range part. The potential energy function for the X¹Σ⁺ state of PbO is calculated by inversion of the infrared and microwave spectra.     

Ab initio ground and the first excited adiabatic and quasidiabatic potential energy surfaces of H + CO system

Ab initio global adiabatic as well as quasidiabatic potential energy surfaces for the ground and the first excited electronic states of the H⁺ + CO system have been computed as a function of the Jacobi coordinates (R, r, γ) using Dunning’s cc-pVTZ basis set at the internally contracted multi-reference (single and double) configuration interaction level of accuracy. In addition, nonadiabatic coupling matrix elements arising from radial motion, mixing angle and coupling potential have been computed using the ab initio procedure [Simah et al. (1999) [66]] for the purpose of dynamics study. The geometrical properties corresponding to the minimum energy of the bound HCO⁺ and HOC⁺ isomers have been obtained and compared with those predicted by previous theoretical and experimental results. The HCO⁺ has been found to be more stable than the HOC⁺. The minimum energy pathway in the ground electronic state for the isomerization process, HCO⁺ ? HOC⁺ has also been obtained as a function of γ.     

Generalized relativistic effective core potential calculations of the adiabatic potential curve and spectroscopic constants for the ground electronic state of the Ca2 molecule

The potential curve, dissociation energy, equilibrium internuclear distance, and spectroscopic constants for the ground state of the Ca₂ molecule are calculated with the help of the generalized relativistic effective core potential method, which allows one to exclude the inner core electrons from the calculations and to take the relativistic effects into account effectively. Extensive generalized correlation basis sets were constructed and used. The scalar relativistic coupled cluster method with corrections for high‐order cluster amplitudes is used for the correlation treatment. The results are analyzed and compared with the experimental data and corresponding all‐electron results. © 2013 Wiley Periodicals, Inc.     

Development of a general time-dependent absorbing potential for the constrained adiabatic trajectory method

The constrained adiabatic trajectory method (CATM) allows us to compute solutions of the time-dependent Schro?dinger equation using the Floquet formalism and Fourier decomposition, using matrix manipulation within a non-orthogonal basis set, provided that suitable constraints can be applied to the initial conditions for the Floquet eigenstate. A general form is derived for the inherent absorbing potential, which can reproduce any dispersed boundary conditions. This new artificial potential acting over an additional time interval transforms any wavefunction into a desired state, with an error involving exponentially decreasing factors. Thus, a CATM propagation can be separated into several steps to limit the size of the required Fourier basis. This approach is illustrated by some calculations for the H(2)(+) molecular ion illuminated by a laser pulse.     

Calculation of the potential energy surface of a polyatomic molecule in an adiabatic approximation

V. I. Vernadskii Institute of Geochemistry and Analytical Chemistry, Russian Academy of Sciences. Translated fromZhurnal Strukturnoi Khimii, Vol. 36, No. 6, pp. 1142–1144, November–December, 1995     

Open-shell SCF calculations with a model potential method

A model potential proposed by Huzinaga and his coworkers has been incorporated into the generalized coupling operator for open-shell SCF. With this modified operator, valence-only calculations have been performed on the ground and Rydberg excited states of the water molecule and compared with the ab initio SCF results previously reported.     

Design and construction of an adiabatic calorimeter for samples of less than 1 cm in the temperature range T = 15 K to T = 350 K

A small-scale adiabatic calorimeter has been constructed as part of a larger project to study the thermodynamics of nanomaterials and to facilitate heat capacity measurements on samples of insufficient quantity to run on our current large-scale adiabatic apparatus. This calorimeter is designed to measure the heat capacity of samples whose volume is less than 0.8 cm³ over a temperature range of T = 13 K to T = 350 K. Heat capacity results on copper, sapphire, and benzoic acid show the accuracy of the measurements to be better than ±0.4% for temperatures higher than T = 50 K. The reproducibility of these measurements is generally better than ±0.25%.     

Toward hypericin-derived potential photodynamic therapy agents

To optimize a hypericin derivative as a potential photodynamic therapy agent its light-induced singlet oxygen/superoxide radical formation capability should be enhanced and its long-wavelength absorption band should be bathochromically shifted to better match medicinal lasers. A heavy-atom-substituted derivative was realized by electrophilic iodination of hypericin to yield 2,5-diiodo-hypericin. Using photodestruction of bilirubin IX alpha this derivative was demonstrated to exhibit an enhanced light-induced singlet oxygen/superoxide radical formation capability as compared to hypericin. With respect to a bathochromically shifted derivative styryl residues were attached to the methyl groups of hypericin by de novo ring synthesis. Although the long-wavelength absorption band of this derivative displayed a bathochromic shift of nearly 40 nm it unfortunately immediately underwent an intramolecular [2 + 2] cycloaddition to yield the corresponding cyclobutane derivative in which the added conjugation system became interrupted.     

The adiabatic correction to the ring puckering potential of oxetane

The adiabatic correction to the Hartree-Fock ring puckering potential of oxetane is presented along with the adiabatic correction to potential functions of H₂, CO, and CO₂. The oxetane calculation allows the identification of the source of the disagreement between theory and experiment for the barrier to ring planarity.     

乙硼烷离子和自由基异构体重排与体系势能面的能量子化学计算研究

在B3LYP/6-311G(d,p)和QCISD(T)/6-311++G(3df,2p)(单点)水平下, 对B2H+5阳离子和B2H*5自由基全优化得到9个几何异构体: B2H+5单态体系(D3h, C1), B2H+5三重态(Cs, Cs, C1), B2H*5自由基(C2v, Cs, Cs, Cs). 得到势能面上与体系异构化过程相联系的5种过渡态.     

An investigation of the adiabatic potential energy surface of a Pseudo-Jahn-Teller complex using X-ray diffraction

X-ray diffraction combined with theoretical results obtained for isolated molecules can reveal many topologic features of the adiabatic potential energy surface (APS) of pseudo-Jahn-Teller Cu(II) complexes. Single-crystal x-ray results of acetatobis (1,10-phenanthroline)copper(II) perchlorate from 10 to 351 K are presented. The observed Cu-O bond length changes of 0.26 and 0.38 Å are rationalized in terms of a one-dimensional APS with two nonequivalent minima. The Silver and Getz model of vibronic coupling applied to the temperature variation of the Cu-O bond lengths is not obeyed. The actual structures of the conformers associated with the energy minima were determined from the x-ray data. A means of estimating the pseudo-Jahn-Teller radius using mean-square vibrational amplitudes along the Cu-O bonds is also discussed.     

The adiabatic correction to molecular potential surfaces in the SCF approximation

Formulas for the adiabatic correction to the potential energy in the SCF approximation are derived in a density matrix form.