Simulation of Mechanical Stresses in BaTiO3 Multilayer Ceramic Capacitors during Desoldering in the Rework of Electronic Assemblies Using a Framework of Computational Fluid Dynamics and Thermomechanical Models.

Multilayer ceramic capacitors (MLCCs) are critical components when thermal processes such as reflow desoldering are used during rework of electronic assemblies. The capacitor's ferroelectric BaTiO3 body is very brittle. Therefore, thermomechanical stresses can cause crack formation and create conductive paths that may short the capacitor. In order to assess the thermally induced mechanical stresses onto an MLCC during reflow desoldering, simulations were carried out, which make use of a framework of computational fluid dynamics and thermomechanical models within the ANSYS software package. In the first step, CFD simulations were conducted to calculate the transient temperature field in the surrounding of the MLCC component, which was then used as an input for FEM simulations to compute the arising mechanical stresses inside the MLCC. The results of the simulations show that the major contribution to mechanical stresses within the MLCC component comes from the mismatch in thermal expansion between the printed circuit board and the MLCC. The temperature gradients along the MLCC component are rather small and account only for moderate internal stresses within the brittle BaTiO3 body.

Carbon isotope ratio analysis of steroids by high-temperature liquid chromatography-isotope ratio mass spectrometry.

Generally, compound-specific isotope analysis of steroids is carried out by gas chromatography combined with isotope ratio mass spectrometry. Thus, a derivatization of the steroids prior to the measurement is compulsory, and a correction of the isotopic data is often necessary. To overcome this limitation, we present a new approach of high-temperature liquid chromatography coupled with photodiode array detection and isotope ratio mass spectrometry (HT-LC/PDA/IRMS) for the carbon isotope ratio analysis of unconjugated steroids. A steroid mixture containing 19-norandrosterone, testosterone, epitestosterone, androsterone, and 5ß-pregnane-3α,17α,20α-triol was fully separated on a C4 column under high-temperature elution with water as the sole eluent. The accuracy for isotope analysis (±0.5 ‰) was around 20 µg g(-1) for testosterone, epitestosterone (79 ng steroid absolute on column), and 30 µg g(-1) for 19-norandrosterone, androsterone, and 5ß-pregnane-3α,17α,20α-triol (119 ng steroid absolute on column). The applicability of the method was tested by measuring a pharmaceutical gel containing testosterone. With this work, the scope of LC/IRMS applications has been extended to nonpolar compounds.

Determination of suitable column geometries by means of van Deemter and kinetic plots for isothermal and isocratic method development in high-temperature liquid chromatography isotope ratio mass spectrometry.

The method of high-temperature liquid chromatography isotope ratio mass spectrometry (HTLC-IRMS) is used to determine the origin or authenticity of compounds. Currently, the drawback of this hyphenation is the interface which causes pronounced band broadening due to a large extra-column volume. Therefore, the aim of this study is to determine suitable column geometries and particle sizes at different temperature and to study the effect of extra-column band broadening. The tools to assess the efficiency of columns are van Deemter and kinetic plots. By comparison of different column geometries and particle sizes, it could be shown that 3.0 mm ID columns achieve a higher performance than 2.1 mm ID columns and a particle size of 1.7 µm is advantageous over 3.5 and 5.0 µm particles when the injection volume is adjusted to 2 µL and the temperature is higher than 60 °C. Because water was the mobile phase, the retention factor could not be kept constant at different column temperatures. The lower retention factor at elevated temperatures leads to a decrease of the plate number, because of the relatively larger contribution to extra-column band broadening at lower retention factors. This is the reason why 3.0 mm ID columns should be preferred for the HTLC-IRMS hyphenation when the separation is carried out under isothermal and isocratic conditions.

A general strategy for performing temperature-programming in high performance liquid chromatography--further improvements in the accuracy of retention time predictions of segmented temperature gradients.

In the present work it is shown that the linear elution strength (LES) model which was adapted from temperature-programming gas chromatography (GC) can also be employed for systematic method development in high-temperature liquid chromatography (HT-HPLC). The ability to predict isothermal retention times based on temperature-gradient as well as isothermal input data was investigated. For a small temperature interval of ΔT=40°C, both approaches result in very similar predictions. Average relative errors of predicted retention times of 2.7% and 1.9% were observed for simulations based on isothermal and temperature-gradient measurements, respectively. Concurrently, it was investigated whether the accuracy of retention time predictions of segmented temperature gradients can be further improved by temperature dependent calculation of the parameter S(T) of the LES relationship. It was found that the accuracy of retention time predictions of multi-step temperature gradients can be improved to around 1.5%, if S(T) was also calculated temperature dependent. The adjusted experimental design making use of four temperature-gradient measurements was applied for systematic method development of selected food additives by high-temperature liquid chromatography. Method development was performed within a temperature interval from 40°C to 180°C using water as mobile phase. Two separation methods were established where selected food additives were baseline separated. In addition, a good agreement between simulation and experiment was observed, because an average relative error of predicted retention times of complex segmented temperature gradients less than 5% was observed. Finally, a schedule of recommendations to assist the practitioner during systematic method development in high-temperature liquid chromatography was established.

A general strategy for performing temperature-programming in high performance liquid chromatography--prediction of segmented temperature gradients.

In the present work it is shown that the linear elution strength (LES) model which was adapted from temperature-programming gas chromatography (GC) can also be employed to predict retention times for segmented-temperature gradients based on temperature-gradient input data in liquid chromatography (LC) with high accuracy. The LES model assumes that retention times for isothermal separations can be predicted based on two temperature gradients and is employed to calculate the retention factor of an analyte when changing the start temperature of the temperature gradient. In this study it was investigated whether this approach can also be employed in LC. It was shown that this approximation cannot be transferred to temperature-programmed LC where a temperature range from 60°C up to 180°C is investigated. Major relative errors up to 169.6% were observed for isothermal retention factor predictions. In order to predict retention times for temperature gradients with different start temperatures in LC, another relationship is required to describe the influence of temperature on retention. Therefore, retention times for isothermal separations based on isothermal input runs were predicted using a plot of the natural logarithm of the retention factor vs. the inverse temperature and a plot of the natural logarithm of the retention factor vs. temperature. It could be shown that a plot of lnk vs. T yields more reliable isothermal/isocratic retention time predictions than a plot of lnk vs. 1/T which is usually employed. Hence, in order to predict retention times for temperature-gradients with different start temperatures in LC, two temperature gradient and two isothermal measurements have been employed. In this case, retention times can be predicted with a maximal relative error of 5.5% (average relative error: 2.9%). In comparison, if the start temperature of the simulated temperature gradient is equal to the start temperature of the input data, only two temperature-gradient measurements are required. Under these conditions, retention times can be predicted with a maximal relative error of 4.3% (average relative error: 2.2%). As an example, the systematic method development for an isothermal as well as a temperature gradient separation of selected sulfonamides by means of the adapted LES model is demonstrated using a pure water mobile phase. Both methods are compared and it is shown that the temperature-gradient separation provides some advantages over the isothermal separation in terms of limits of detection and analysis time.

General strategy for performing temperature programming in high performance liquid chromatography: prediction of linear temperature gradients.

This paper describes how an empirical retention model is transferred from temperature-programmed gas chromatography (GC) to high temperature liquid chromatography (HT-HPLC). In order to evaluate the retention prediction, a temperature range from 50 to 180 °C was investigated using two test mixtures consisting of steroids and polycyclic aromatic hydrocarbons. In this temperature range, heating rates from 1.5 °C min(-1) up to 30 °C min(-1) were applied using four different high temperature stable HPLC columns with inner diameters of 1.0, 2.1, 3.0, and 4.6 mm. Temperature lag phenomena in the HPLC column as well as in the column oven are discussed, and it is shown that the linear elution strength (LES) model can be applied without any mathematical extension in order to take a temperature-dependent delay time into account. On the basis of this approximation, it is possible to perform a systematic method development using linear temperature gradients in liquid chromatography. Furthermore, it is shown that only two initial temperature gradient runs are necessary to predict the retention times of the analytes with a maximal relative error of less than 2%.

Temperature and pH-stability of commercial stationary phases.

In this paper, the temperature and pH stability of silica-based RP stationary phases were investigated. Furthermore, nonsiliceous phases like a polymeric column based on polystyrene divinylbenzene and a polybutadiene coated zirconium dioxide column were also included. The columns were heated up to 150 degrees C at dynamic conditions, which means that the eluent consisting of water and methanol (90:10, v/v) was continuously purged through the packed bed. After every 5 h, the columns were cooled down to room temperature and the efficiency was measured by injecting a test sample based on the Neue test. It could be shown that some stationary phases exhibited a very good temperature stability at the test conditions specified above.