2005
DOI: 10.1088/0026-1394/43/1/011
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Estimating the influence of impurities on the freezing point of tin

Abstract: The sum of individual estimates (SIE) and the overall maximum estimate (OME) are two methods recommended to estimate the influence of impurities on the temperatures of the liquid-solid phase transformations of high-purity substances. The methods are discussed starting with the basic crystallographic facts, and their application is demonstrated in detail by applying them to the freezing point of tin as a first example. The SIE method leads to a temperature correction with a corresponding uncertainty while the O… Show more

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Cited by 54 publications
(86 citation statements)
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“…The shapes of the freezing and melting plateaux realized for a fixed-point cell are not recommended as a means to assess its impurity content [2,10], but such freezing and melting ranges may give an approximate idea of what might be expected. Comparing the slow melting plateau realized following a fast freeze with one following a slow freeze (provided no liquid-solid interface formed around the thermometric well) enables a qualitative analysis of this source of uncertainty.…”
Section: Characterization Of the Cellsmentioning
confidence: 99%
“…The shapes of the freezing and melting plateaux realized for a fixed-point cell are not recommended as a means to assess its impurity content [2,10], but such freezing and melting ranges may give an approximate idea of what might be expected. Comparing the slow melting plateau realized following a fast freeze with one following a slow freeze (provided no liquid-solid interface formed around the thermometric well) enables a qualitative analysis of this source of uncertainty.…”
Section: Characterization Of the Cellsmentioning
confidence: 99%
“…If the temperature depression of the uncorrected data, which is mostly due to thermal effects, is treated as induced by impurities, an extrapolation could obviously mislead to an overestimation of the impurity content of a fixed-point cell, different from that [10]. Hence, if the slope of a temperature plateau is to be used, the influence of heat conduction has to be considered first.…”
Section: Correction and Quasi-adiabatic Conditionsmentioning
confidence: 99%
“…2, influences of impurities and diffusion cannot be treated properly. Different melting and freezing rates induce different impurity distributions in the region near the phase boundary due to slow diffusion [9] in the liquid phase, which causes temperatures at the phase boundary to depend on the interfacial velocity [10]. In terms of the equations above, in particular, Eq.…”
mentioning
confidence: 99%
“…The estimate of the uncertainty in the realization of the aluminum fixed point was obtained using the "sum of individual estimates (SIE)" for those impurities for which the concentration and the liquidus slope are known and the "overall maximum estimate (OME)" for the remainder [3][4][5][6]. ( T SIE = 0.15 mK; T OME = 0.15 mK, with a cryoscopic constant of 0.00149 K −1 ).…”
Section: Quantitative Effect Of Impuritiesmentioning
confidence: 99%