Analytical Expressions for the Mixed-Order Kinetics Parameters of TL Glow Peaks Based on the two Heating Rates Method

The two heating rates method (originally developed for first-order glow peaks) was used for the first time to evaluate the activation energy (E) from glow peaks obeying mixed-order (MO) kinetics. The derived expression for E has an insignificant additional term (on the scale of a few meV) when compared with the first-order case. Hence, the original expression for E using the two heating rates method can be used with excellent accuracy in the case of MO glow peaks. In addition, we derived a simple analytical expression for the MO parameter. The present procedure has the advantage that the MO parameter can now be evaluated using analytical expression instead of using the graphical representation between the geometrical factor and the MO parameter as given by the existing peak shape methods. The applicability of the derived expressions for real samples was demonstrated for the glow curve of Li₂B₄O₇:Mn single crystal. The obtained parameters compare very well with those obtained by glow curve fitting and with the available published data.     

A Practical Method for the Analysis of Overlapped Peaks in Energy Dispersive X-Ray Spectra

ABSTRACT

In this study a practical method for the spectral analysis of some overlapped characteristic X-ray peaks is presented. The overlapped characteristic K, and K, peaks and the artificially overlapped two K, peaks (peak doublet) of arsenic obtained by the radioisotope-excited, energy dispersive X-ray fluorescence (EDXRF) technique, are resolved. A total of 34 overlapped peak systems were investigated: the proposed method provided 18 reliable results, whereas the first and the second methods gave 15 and 1, respectively. The intensity ratios of K_β/K_α, obtained by the novel method are also in good agreement with the theoretical relativistic Hartree-Slater values.     

A Graphical and Analytical Method to Determine the Transient Response for an Ideal Transmission Line, Loaded by a Time-Varying Impedance

Based on Bergeron's theory, a graphical and analytical method has been worked out to determine the dynamic load characteristic and load transients for a time-varying load impedance, pulsed by a lossless transmission line. The analytical solution has been compared with the numerical solution of the network analysis code SCEPTRE. A parametric study for a time-decreasing load function, demonstrated by the example of a vacuum-discharge flash X-ray tube, reveals that the dynamic load characteristic IL[UL(t), U0, Z0, T] and the transients UL(t, U0, Z0, T) and IL(t, U0, Z0, T) are dependent on the diode function ZL(t) as well as on the charging voltage U0 and the characteristics T and Z0 of the line.     

Phosphate Assisted Proton Transfer in Water and Sugar Glasses: A Study Using Fluorescence of Pyrene-1-carboxylate and IR Spectroscopy

The role of water’s H-bond percolation network in acid-assisted proton transfer was studied in water and glycerol solutions and in sugar glasses. Proton transfer rates were determined by the fluorescence of pyrene-1-carboxylate, a compound with a higher pK in its excited state relative to the ground state. Excitation of pyrene-1-COO⁻ produces fluorescence from pyrene-1-COOH when a proton is accepted during the excited singlet state lifetime of pyrene-1-COO⁻. The presence of glycerol as an aqueous cosolvent decreases proton transfer rates from phosphoric and acetic acid in a manner that does not follow the Stokes relationship on viscosity. In sugar glass composed of trehalose and sucrose, proton transfer occurs when phosphate is incorporated in the glass. Sugar glass containing phosphate retains water and it is suggested that proton transfer requires this water. The infrared (IR) frequency of water bending mode in sugar glass and in aqueous solution is affected by the presence of phosphate and the IR spectral bands of all phosphate species in water are temperature dependent; both results are consistent with H-bonding between water and phosphate. The fluorescence results, which studied the effect of cosolvent, highlight the role of water in assisting proton transfer in reactions involving biological acids, and the IR results, which give spectroscopic evidence for H-bonding between water and phosphate, are consistent with a mechanism of proton transfer involving H-bonding. The possibility that the phosphate-rich surface of membranes assists in proton equilibration in cells is discussed.     

A Comparison of Lineshape Models in the Analysis of Modulated and Natural Rotational Line Profiles: Application to the Pressure Broadening of OCS and CO

We report on the self and pressure broadening of the J=9←8 transition of O¹²CS and O¹³CS and the J+1←J, with J=0, 1, 2, 3, rotational transitions of ¹²CO and ¹³CO. In particular, the J=9← 8 of OCS and J=1← 0 of CO have been investigated for a detailed comparison of lineshape models in the analysis of natural and modulated line profiles. Since the frequency modulation technique improves the instrumental sensitivity, allowing the study of weak transition line profiles, a thorough test of this technique applied to lineshape analysis has been carried out. Finally, the self and pressure broadening coefficients are also given. Due to the important role covered by CO in the atmospheric chemistry field, we have paid particular attention to the N₂ and O₂ broadening.     

A Pulsed Field Gradient Spin-Echo Method for Diffusion Measurements in the Presence of Internal Gradients

Over the past decade several pulsed field gradient stimulated-echo methods have been presented for diffusion measurements in heterogeneous media. These methods have reduced or eliminated the coupling between the applied magnetic field gradient and a constant internal magnetic field gradient caused by susceptibility changes throughout the sample. For many research purposes thez-storage delay between the second and third π/2 RF pulse has been included in order to increase the decay of the echo attenuation to an appropriate level and to increase the signal-to-noise ratio by avoidingT₂relaxation of the magnetization in parts of the pulse sequence. For these reasons a stimulated-echo method has been applied instead of a spin-echo method. When studying systems where it is necessary to keep the duration of the pulse sequence at a minimum, and one is not dependent on usingz-storage time to increase the echo attenuation or to study diffusion as a function of observation time, a spin-echo method should be chosen. Here we propose a bipolar pulsed field gradient spin-echo method which is well suited to this purpose, and preliminary diffusion measurements are presented as illustration.     

在数字化MRI谱仪系统设计中消除梯度抖动的方法

提出了一种在磁共振成像谱仪系统中消除由于数字化设计而引起的梯度抖动的方法．该方法利用梯度波形发生器的内部时钟控制脉冲序列的启动,使得它们真正实现同步．本文除详细介绍该方法的原理之外,还通过实验证明了它的有效性．     

A Theoretical Method for Calculating the Line Profiles in Atomic Emission Spectra in Alternating Electric Fields

Russian Physics Journal - A unified approach is developed for calculating the profiles of the spectral lines of atoms in an alternating electric field on the basis of diagonalization of the energy...     

Analytical Method for Energy Spectra and Eigenstates in the Process of k-Photon Down-Conversion with Quantized Pump

In this paper, using the arguments of Wu et al. [Phys. Rev. Lett. 86 (2001) 2200] we analytically discussthe energy spectra and corresponding eigenstates for the process of k-photon down-conversion with quantized pump ina high-Q cavity by the aid of the computer programme. Remarkably, it is also shown that such a method can be usedfor solving numerically the equations in a much simpler manner than the previous ones.     

一种基于石墨化炭黑过滤吸附处理荧光抑制和改进系统聚类分析的轻质燃油种类拉曼光谱快速识别方法

提出了一种石墨化炭黑过滤吸附前处理抑制轻质燃油拉曼光谱荧光背景干扰的方法和一种改进的系统聚类分析算法,实现了39个样品的种类快速识别,即能自动将样品识别为0#车用柴油、0#普通柴油、97#车用汽油、93#车用汽油、90#车用汽油和3#喷气燃料等6种类型。过滤吸附处理方法是用定制的50 mg石墨化炭黑过滤吸附0.75 mL油样,然后对其进行拉曼光谱数据采集。试验结果证明：石墨化炭黑过滤吸附处理对无荧光背景干扰的3#喷气燃料和车用汽油样品拉曼光谱特征无明显影响,且能够有效抑制车用汽油和车用柴油样品的拉曼弱荧光背景干扰,以及车用汽油和普通柴油的强荧光背景干扰。改进的有监督系统聚类分析算法将普鲁克距离作为系统聚类分析中样本间相似度的评价方法;并将经典的系统聚类分析视为标准校正样品集的“建模”过程,通过计算未知样品与各类属中心向量之间的普鲁克距离,依据距离最小原则判断未知样品的类属。通过对39个具有不同拉曼荧光背景干扰特征油样的石墨化炭黑前处理和“留一法”交互验证分类识别,分析结果证明：石墨化炭黑过滤吸附前处理抑制拉曼光谱荧光背景的方法能够有效提取轻质燃油的拉曼光谱特征并应用于定性种类识别。     

A Note on the Guerra and Talagrand Theorems for Mean Field Spin Glasses: The Simple Case of Spherical Models

The aim of this paper is to discuss the main ideas of the Talagrand proof of the Parisi Ansatz for the free-energy of Mean Field Spin Glasses with a physicist's approach. We consider the case of the spherical p-spin model, which has the following advantages: (1) the Parisi Ansatz takes the simple “one step replica symmetry breaking form,” (2) the replica free-energy as a function of the order parameters is simple enough to allow for numerical maximization with arbitrary precision. We present the essential ideas of the proof, we stress its connections with the theory of effective potentials for glassy systems, and we reduce the technically more difficult part of the Talagrand's analysis to an explicit evaluation of the solution of a variational problem.     

Microwave-Induced Acoustic Phenomenon: A Potential Analytical Sensor for Ionic Conducting Materials in Aqueous and Organic Media

This study demonstrates the first use of the microwave-induced acoustic phenomenon (MIA) for the study of ionic conducting materials such as inorganic salts and pure metals in aqueous and organic media. While the magnitude of the MIA signal is related to both the dielectric loss and the thermoelastic properties of the medium, only the thermoelastic properties are important for strongly absorbing liquids. The potential applications of MIA to microwave heating of solid surfaces and surface interactions are illustrated with copper coils.     

Mathematical Models for the Propagation of Stress Waves in Elastic Rods: Exact Solutions and Numerical Simulation

In this work, the Bishop and Love models for longitudinal vibrations are adopted to study the dynamics of isotropic rods with conical and exponential cross-sections. Exact solutions of both models are derived, using appropriate transformations. The analytical solutions of these two models are obtained in terms of generalised hypergeometric functions and Legendre spherical functions respectively. The exact solution of Love model for a rod with exponential cross-section is expressed as a sum of Gauss hypergeometric functions. The models are solved numerically by using the method of lines to reduce the original PDE to a system of ODEs. The accuracy of the numerical approximations is studied in the case of special solutions.     

Application of FTIR Spectroscopy for Identification of Blood and Leukemia Biomarkers: A Review over the Past 15 Years

Abstract

Fourier transform infrared (FTIR) spectroscopy is an effective and nondestructive method for monitoring cellular alterations. Combining the advantages of FTIR spectroscopy with the challenge of cellular characterization, the main objective of this review is to collect information related to the spectroscopic identification of blood cells, focusing on specific biochemical features of leukemia cells detected through FTIR spectral analysis. Some interesting results obtained by different authors regarding human promyelocytic leukemia, white blood cells, chronic lymphocytic leukemia, and human peripheral blood mononuclear cells are presented. In addition, the characterization of two types of cells, namely, leukemia T and a healthy human blood cells, is reported and the identification of biochemical markers provides important information that, associated with clinical examination, can assist in the diagnosis of diseases.     

Spin correlations in electron liquids: Analytical results for the local-field correction in two and three dimensions

We study the spin correlations in two- and three-dimensional electron liquids within the sum-rule version of the self-consistent field approach of Singwi, Tosi, Land, and Sj?lander. Analytic expressions for the spin-antisymmetric static structure factor and the corresponding local-field correction are obtained with density dependent coefficients. We calculate the spin-dependent pair-correlation functions, paramagnon dispersion, and static spin-response function within the present model, and discuss the spin-density wave instabilities in double-layer electron systems. Received: 22 September 1997 / Revised: 1 December 1997 / Accepted: 4 December 1997