Modified stepwise method for determining heat capacity by DSC

The methods of heat capacity data determination from differential scanning calorimetry measurements are described. The negative effects increasing uncertainty of heat capacity determination are mentioned. Modified stepwise method was described and verified using molybdenum, copper, and gold standards. Modified stepwise method provides better accuracy of C _p values compared to continuous and stepwise method.     

Determination of specific heat capacity and standard molar combustion enthalpy of taurine by DSC

Using XRY-1C calorimeter, the standard molar enthalpy of taurine was determined to be ?2546.2?kJ?mol^?1 . The reliability of the instrument used was tested by using naphthalene as reference material; and through comparing the molar combustion enthalpy of naphthalene measured with its standard value found in literature, the absolute error and relative error were found to be 4.53?kJ?mol^?1 and 0.09%, respectively. The melting point and melting enthalpy of taurine were determined by Differential Scanning Calorimetry (DSC), which was found to be 588.45?K and ?22.197?kJ?mol^?1, respectively. Moreover, using the DSC method, the specific heat capacities C _p of taurine was measured and the relationship between C _p and temperature was established. The thermodynamic basic data obtained are available for the exploiting new synthesis method, engineering design and industry production of taurine.     

Development towards a single-run DSC for heat capacity measurements

It is shown that it should be possible to construct a single-run heat conduction type DSC that records heat capacity directly, eliminating the present need for three separate runs. A simplified mathematical derivation of the needed computation is given and some suggestions about improved DSC construction are presented.

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Zusammenfassung Es wird gezeigt, daß es möglich sein müßte, ein single-run DSC vom Wärmeleittyp zu konstruieren, mit dessen Hilfe man anstelle der bisherigen drei separaten Durchgänge die Wärmekapazität direkt registrieren kann. Es werden für die notwendigen Berechnungen eine vereinfachte mathematische Ableitung und für den Bau des verbesserten DSC einige Anregungen gegeben.

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The work has been supported by a Grant from the Hercules Co. to ATHAS.     

Simulation of temperature-modulated DSC of transitions represented by abrupt changes in heat capacity

Computer simulations have been applied to elucidate the response of a sample to temperaturemodulated differential scanning calorimetry (tm-DSC) during transitions. Two cases have been simulated; a latent heat without supercooling (represented by an abrupt heat capacity pulse with perfect reversibility) and a latent heat with perfect supercooling or large hysteresis (an abrupt heat capacity change without reversibility, i.e. the change in heat capacity is seen on heating, but not on cooling). Because the simulation was applied to these well-characterized phenomena, the results are useful to reveal actual sample thermal responses during transitions. The non-reversible component was observed in both cases and has no distinct difference. Higher harmonics due to non-linearity of the transitions were also observed. Furthermore, by inspecting thermal response of the sample and the essential feature of tm-DSC, a new method of data analysis has been devised.     

Heat capacity measurements by computer-interfaced DSC

A computer assisted heat capacity measuring system has been designed from commercial components. A differential scanning calorimeter of type Perkin-Elmer DSC-2 forms the basis for measurements from 100 to 1000 K. A Hewlett-Packard calculator (minicomputer) of type 9821 is the data handling system. The data are collected and permanently stored on teletape. The program has been written to govern measurement and final computation, tabulation, plotting, and curve fitting. Calibration is done by comparison with benzoic acid or aluminium oxide (sapphire). Zinc heat capacities have been measured as an example and for evaluation of accuracy. Accuracies of better than ± 0.5% have been achieved, an improvement of approximately a factor 3 to 5 over a similar system without computer assist. The system will be used mainly for heat capacities of linear macromolecules.

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Zusamenfassung Ein mit einem Komputer ausgestattetes Wärmekapazitäts-Mess-System wurde aus handelsüblichen Bestandteilen gebaut. Ein Differential-Scanning Kalorimeter vom Typ Perkin-Elmer DSC-2 bildet das Grundgerät für Messungen zwischen 100 und 1000 K. Ein Hewlett-Packard Kalkulator (Mini-Komputer) des Typs 9821 ist das Datenbehandlungssystem. Die Daten werden gesammelt und laufend am Tele-Band gespeichert. Das Programm eignet sich zur Steuerung der Messung und zur Endauswertung, Tabulierung, Berechnung von Zusammenhängen und Anpassung an Kurven. Geeicht wird mittels Vergleichen mit Benzoesäure oder Aluminiumoxid (Saphir). Die Wärmekapazitäten von Zink wurden als Beispiel und zur Bewertung der Genauigkeit gemessen. Die Genauigkeiten erwiesen sich besser als ± 5 %, also 3 bis 5-mal so gut wie bei einem ähnlichen System ohne Komputer. Das System wird hauptsächlich zur Messung der Wärmekapazitäten linearer Makromoleküle eingesetzt.

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Résumé Un dispositif a été conçu à partir de composants commerciaux pour la mesure des chaleurs spécifiques et a été associé à un calculateur. Un analyseur calorimétrique différentiel à compensation de puissance, de type Perkin-Elmer DSC-2, constitue l'élément de base pour les mesures entre 100 et 1000 K. Le traitement des données s'effectue avec un calculateur du type Hewlett-Packard 9821 (mini-ordinateur). Celui-ci assure l'acquisition des données et leur conservation permanente sur télé-bande. Le programme a été conçu pour contrôler la mesure et le calcul final, la mise en tableaux, le tracé des courbes et leur ajustement. L'étalonnage s'effectue par comparaison avec l'acide benzoïque ou l'oxyde d'aluminium (saphir). A titre d'exemple, la chaleur spécifique du zinc a été mesurée afin d'évaluer l'exactitude. Celle-ci est meilleure que ± 0,5% c'est-à-dire qu'elle est 3 à 5 fois supérieure à celle d'un système similaire sans calculateur. Le dispositif sera surtout utilisé pour la détermination des chaleurs spécifiques des macromolécules linéaires.

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The authors wish to express their appreciation to Dr. A. P. Gray, Dr. R. C. Ryan and the Perkin-Elmer Corporation, Norwalk, Connecticut for their assistance in setting up the DSC-2 and providing us with the digital data recording facilities.This work was supported by a grant from the National Science Foundation (Grant Number GH42634X) and partially purchased with an equipment grant Number GH36965.     

The heat capacity of solid antimony selenide

The literature data on the heat capacity of solid antimony selenide over the temperature range 53 K-T _m were analyzed. The heat capacity of Sb₂Se₃ was measured from 350 to 600 K on a DSM-2M calorimeter. The experimental data were used to calculate the dependence C _p = a + bT + cT ^?2 and the thermodynamic functions of solid Sb₂Se₃ over the temperature range 298.15–700 K.     

Prediction of the heat capacity of ionic liquids using the mass connectivity index and a group contribution method

A simple and accurate group contribution method to estimate the heat capacity of ionic liquids is presented. The method considers groups previously defined for a successful method used to estimate critical properties of ionic liquids. Additionally a structural parameter known as mass connectivity index recently defined by the authors has been incorporated to define the model equation. To better define the values of the groups, heat capacity data at 298 K for 126 organic substances were used with the 469 heat capacity data for 32 ionic liquids. The results were compared with experimental data and with values reported by other available estimation methods. Results show that the new group contribution method gives low deviations and can be used with confidence in thermodynamic and engineering calculations.     

Experimental investigation into the heat capacity measurement using an modulated DSC

Experiments using a commercial modulated DSC (MDSC) for the measurement of specific heat capacity of a sample have been carried out. It is found that because the amplitude of heat flow of MDSC is a complicated non-linear function of various experimental conditions such as the modulation frequency and the heat capacities of a sample and pan, the methodology of heat capacity determination using an MDSC in a single run has not been justified. The experimental results, on the other hand, agree with the theoretical equation of one of the authors. It is therefore concluded that the capabilities of MDSC should be further examined.     

Standard enthalpy and heat capacity of solid tin telluride

The published data on the heat capacity of tin telluride were analyzed. The C _p values were demonstrated to be consistent only at temperatures below 56 K. Some data on the heat capacity of SnTe within 80–453 K were found to differ significantly. The heat capacity C _p was measured on a DSM-2M calorimeter within a temperature range of 350–600 K and other thermodynamic functions of tin telluride were calculated.     

Analysis of the contribution of skeletal vibrations to the heat capacity of linear macromolecules in the solid state

Automatic computer programs are developed to calculate one- two-, and three-dimensional Debye functions. Prior tables of these functions are critically reviewed. Also, strategies are derived to calculate Debye temperatures from heat capacities. Both, simple three-dimensional Debye analyses and Tarasov analyses were carried out on 35 linear macromolecules. The experimental heat capacities for these analyses were collected in the ATHAS data bank. It is shown that the skeletal heat capacity of linear macromolecules is often best represented by only two vibrations per chain atom. For most of the all-carbon chain macromolecules the intramolecular skeletal heat capacity can be given by C_vs=D₁[520 (28/MW)^1/2] whereMW is the molecular mass andD ₁ represents the one-dimensional Debye function. Polyoxides show a higher intramolecular theta temperature, but a lower intermolecular theta temperature. Double bonds and phenylene groups in the chain increase the intramolecular theta temperature.Dedicated to Prof. Dr. F. H. Müller.On leave from the Lumumba Peoples' Friendship University, Moscow, USSR.     

Comparison of deconvoluted plasma DSC curves on patients with solid tumors

Melting of crystalline compounds inside the nanopores of open-morphology porous systems was studied on a model system, consisted of 1-octadecene and silica gels with different pore sizes, by means of thermogravimetry, differential scanning calorimetry and powder X-ray diffraction. The parameters of silica gels porous structure (surface area, pore size and volume) were calculated using N₂ adsorption data. To describe the experimental results, a new thermodynamic model of crystallites melting inside the nanopores of irregular shape was established. This model allows an analytical prediction for the shift of phase transition temperature and melting enthalpy (latent heat of melting) due to the surface tension effects. To a first approximation, both parameters must linearly depend on the specific ratio of the total surface of pores to their total volume, and experimental studies have mostly confirmed this result for the melting of 1-octadecene confined inside the pores of a wide range of various silicas (with the pores of different sizes and geometry).

     

Study of temperature profile and specific heat capacity in temperature modulated DSC with a low sample heat diffusivity

One important application of temperature modulated DSC (TMDSC) is the measurement of specific heat of materials. When the sample has very good thermal conductivity as in the case of metals, the temperature gradient is not normally an important factor and can be ignored most of the time. However, in the case of materials with poor heat transfer properties, for example, polymers, the thermal conductivity is only in the order of 1/1000 or so of that of metals. This could have a major effect on the test results. In this paper, a round analytical solution is given and a numerical model is used to analyze the effects of thermal diffusivity on temperature distribution inside the test sample and specific heat measurement by TMDSC, PET sample test results are presented to demonstrate the effects of material thermal diffusivity.     

Measurement of the thermal capacity of solids by DSC

The methods for determining the thermal capacity of solids using a SETARAM DSC-III calorimeter have been studied. Two methods can be employed: periodic heating and continuous heating. The method using periodic heating is characterized by an accuracy of 0.6%,'while the method with continuous heating has an accuracy of 5%. Thermal capacity measurements on corundum, copper oxide and magnetite are reported.

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Zusammenfassung Methoden zur Bestimmung der Wärmekapazität von Festkörpern wurden mittels des Kalorimeters SETARAM DSC-III untersucht. Zwei Methoden können angewandt werden, nämlich periodisches und kontinuierliches Aufheizen. Bei periodischem Heizen beträgt die Genauigkeit 0,6%, bei kontinuierlichem 5%. Über Messungen der Wärmekapazität von Korund, Kupferoxid und Magnetit wird berichtet.

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Conformational contribution to the heat capacity of the starch and water system

The heat capacities of starch and starch—water have been measured with adiabatic calorimetry and standard differential scanning calorimetry and are reported from 8 to 490 K. The amorphous starch containing 11–26 wt % (53–76 mol %) water shows a partial glass transition decreasing from 372 to 270 K, respectively. Even the dry amorphous starch gradually increases in heat capacity above 270 K beyond that set by the vibrational density of states. This gradual increase in the heat capacity is identified as part of the glass transition of dry starch that is, however, not completed at the decomposition temperature. The heat capacities of the glassy, dry starch are linked to an approximate group vibrational spectrum with 44 degrees of freedom. The Tarasov equation is used to estimate the heat capacity contribution due to skeletal vibrations with the parameters Θ₁ = 795.5 K, Θ₂ = 159 K, and Θ₃ = 58 K for 19 degrees of freedom. The calculated and experimental heat capacities agree better than ±3% between 8 and 250 K. Similarly, the vibrational heat capacity has been estimated for glassy water by being linked to an approximate group vibrational spectrum and the Tarasov equation (Θ₁ = 1105.5 K and Θ₃ = 72.4 K, with 6 degrees of freedom). Below the glass transition, the heat capacity of the solid starch—water system has been estimated from the appropriate sum of its components and also from a direct fitting to skeletal vibrations. Above the glass transition, the differences are interpreted as contributions of different conformational heat capacities from chains of the carbohydrates interacting with water. The conformational parts are estimated from the experimental heat capacities of dry starch and starch—water, decreased by the vibrational and external contributions to the heat capacity. © 2001 John Wiley & Sons, Inc. J Polym Sci Part B: Polym Phys 39: 3038–3054, 2001     

The potential energy landscape contribution to the dynamic heat capacity

The dynamic heat capacity of a simple polymeric, model glassformer was computed using molecular dynamics simulations by sinusoidally driving the temperature and recording the resultant energy. The underlying potential energy landscape of the system was probed by taking a time series of particle positions and quenching them. The resulting dynamic heat capacity demonstrates that the long time relaxation is the direct result of dynamics resulting from the potential energy landscape. Moreover, the equilibrium (low frequency) portion of the potential energy landscape contribution to the heat capacity is found to increase rapidly at low temperatures and at high packing fractions. This increase in the heat capacity is explained by a statistical mechanical model based on the distribution of minima in the potential energy landscape.     

The heat capacity of solid poly(p-xylylene) and polystyrene

The constant-pressure heat capacity C_p of poly(p-xylylene) (PPX) has been measured from 220 to 625 K by differential scanning calorimetry. The constant-volume heat capacities C_v of both, PPX and its isomer polystyrene (PS) have been interpreted in the light of literature data on full normal-mode calculations for PS and estimates from low-molecular-weight analogs for PPX for the 39 group vibrations. Nine skeletal vibrations were used in this discussion with characteristic temperatures θ₁ and θ₃ of 534.5 and 43.1 K for PS. It was also possible to calculate a heat capacity contribution of a phenylene group within a polymer chain. Single 48-vibration θ₁ temperatures of 3230 K for PS and 2960 K for PPX are sufficient to describe C_v above 220 K. Below 140 K, PS heat capacity shows deviations from the Tarasov treatment.     

Present status and potential of group contribution methods for process development

The development of chemical processes can be performed with the help process simulators. However, for the simulation, besides kinetic data, a reliable knowledge of the pure component and mixture properties is required. Since often 60–80% of the total costs arise in the separation step, a reliable knowledge of the phase equilibrium behaviour of the system to be separated is of special importance.The models for excess Gibbs energy g^E and equations of state allow the calculation of the phase equilibrium behaviour of multicomponent systems using binary information alone. But often, the required binary experimental data are missing. For these systems, a reliable predictive thermodynamic model with a large range of applicabilities would be most desirable.With a view to the development of a powerful predictive method, work on the development of a group contribution method was started in Dortmund 1973. A prerequisite for this work is a large database. Therefore, all published pure component properties, phase equilibrium data, and excess properties were stored in a computerized form. At the same time, experimental techniques for the systematic measurements were built up to measure the missing values.The information stored was used for the development of the group contribution method UNIFAC. The weaknesses of this method were removed with the development of modified UNIFAC. With the introduction of g^E-mixing rules in equations of state, the usage of the “solution of groups”-concept lead to group contribution equations of state. In combination with electrolyte models, the influence of strong electrolytes on the phase equilibrium behaviour can be taken into account.In this paper, the continuous development, present status, and potential of group contribution methods for the development of chemical processes will be shown.     

Evidence for metal-like electronic contribution in low-temperature heat capacity of polypyrrole

Heat capacity measurements in the temperature range of 0.6 to 12 K have been conducted on doped polypyrrole films. At low temperature, a finite electronic contribution gamma prevails in all samples. The value of gamma for hexafluorophosphate doped polypyrrole PPy(PF6) is 6.31 mJ x K(-2) x mol(-1), but is 2.2 mJ x K(-2) x mol(-1) for p-toluene sulfonate doped polypyrrole PPy(TsO). With use of the free electron model, the corresponding densities of states at the Fermi level N(E(F)) are calculated and compared with those obtained from spin susceptibility data.     

Specific heat capacity and Debye temperature of zirconia and its solid solution

Specific heat C_P of zirconia and yttria stabilized zirconia doped or not with erbia and ceria was measured from 128 to 823 K and of yttria stabilized zirconia doped with erbia and plutonia from 443 to 1573 K. The new determined data were modelled using Debye theory. Data for the tetravalent oxide and for the studied solid solutions show that the extended Dulong and Petit law in Neumann-Kopp rule is verified for zirconia and the quaternary compounds. The Debye temperature of zirconia (590 K) and its yttria, erbia and ceria doped solid solutions (575-625 K) derived from these C_P measurements between 150 and 823 K is discussed and compared with that reported for other tetravalent metal oxides.