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Chemical Thermodynamics of Tin - Volume 12 - OECD Nuclear ...

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Chapter V<br />

Elemental tin<br />

V.1 <strong>Tin</strong> crystal<br />

V.1.1<br />

General considerations<br />

Solid tin exists in two forms. The low-temperature cubic modification (also called α-Sn<br />

or “grey” tin) transforms to a tetragonal solid (also called β-Sn or “white” tin). Both the<br />

temperature and enthalpy <strong>of</strong> transformation are somewhat uncertain because the<br />

transition is sluggish. β-Sn can be supercooled to very low temperatures.<br />

Cohen and coworkers carried out early measurements <strong>of</strong> the α → β transition<br />

temperature [1899COH/EIJ], [1908COH], [1927COH/DEK], [1935COH/LIE] using<br />

electrical and dilatometric methods. They reported temperatures between 285 and<br />

293 K, the most reliable being T trs = (286.35 ± 0.10) K [1935COH/LIE]. The careful<br />

and systematic experiments <strong>of</strong> Raynor et al. [1958RAY/SMI] by dilatometry showed<br />

that the transition temperature was significantly influenced by the state <strong>of</strong> the white tin<br />

in the sample. They reported a transition temperature for strain-free Sn <strong>of</strong><br />

(283.55 ± 0.45) K and (286.5 ± 0.3) K for strained Sn. In compilations/evaluations,<br />

Hultgren et al. [1963HUL/ORR] and [1973HUL/DES] recommend (286.2 ± 3.0) and<br />

(286.2 ± 0.5) K, respectively, while Gurvich et al. [1991GUR/VEY] states 287 K<br />

without further discussion or qualification. The selected value for the present evaluation<br />

has been obtained from the value for strain-free tin [1958RAY/SMI] and the one <strong>of</strong><br />

[1935COH/LIE] by the method described in example C.2 (see Appendix C):<br />

T trs = (285 ± 2) K.<br />

There is thought to be evidence <strong>of</strong> a transition in white tin between 420 and<br />

470 K. Bartenev [1947BAR] found an anomaly in the heat capacity-temperature curve<br />

at about 440 K. This was corroborated by Klemm and Niermann [1963KLE/NIE], who<br />

observed a slight, abrupt discontinuity in the enthalpy curve (≈ 200 J·mol –1 ) at about<br />

448 K. Klemm and Niermann [1963KLE/NIE] also presented data showing a<br />

discontinuity in the temperature dependence <strong>of</strong> the a-axis lattice parameter <strong>of</strong> tetragonal<br />

tin (the c-axis showed no such discontinuity). The temperature dependence <strong>of</strong> the<br />

electrical conductivity showed (less convincing) anomalies at about the same<br />

temperature. These observations were later discussed by Grønvold [1974GRO], whose<br />

ο<br />

very careful adiabatic calorimetric measurements showed no discontinuity. This<br />

C p,m<br />

CHEMICAL THERMODYNAMICS OF TIN, ISBN 978-92-64-99206-1, © <strong>OECD</strong> 20<strong>12</strong>

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