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oo mode, with average temperatures ranging from 1860 (±180) to 3080 (±300) K being documented by imaging spectroradiometry [R. Jeanloz and A. Kavner, Philos. Trans. R. Soc. London Ser. A 354, 1279 (1996)].
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oo mode, with average temperatures ranging from 1860 (±180) to 3080 (±300) K being documented by imaging spectroradiometry [R. Jeanloz and A. Kavner, Philos. Trans. R. Soc. London Ser. A 354, 1279 (1996)].
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oo mode, with average temperatures ranging from 1860 (±180) to 3080 (±300) K being documented by imaging spectroradiometry [R. Jeanloz and A. Kavner, Philos. Trans. R. Soc. London Ser. A 354, 1279 (1996)].
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α x-rays. The diffraction patterns were collected in angular-dispersive mode with film and analyzed by methods described elsewhere [J. H. Nguyen and R. Jeanloz, Rev. Sci. Instrum. 64, 3456 (1993)].
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2Fe, ABC stacking being obtained with, respectively, two layers of Fe and one of Xe or two of Xe and one of Fe (space group P3m1). To find the minimum enthalpies, we used a quasi-Newton method to relax the internal coordinates and the unit-cell shapes of all structures for a given pressure [B. G. Pfrommer, M. Côté, S. G. Louie, M. L. Cohen, J. Comp. Phys. 131, 233 (1997)).
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0001485073
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2Fe, ABC stacking being obtained with, respectively, two layers of Fe and one of Xe or two of Xe and one of Fe (space group P3m1). To find the minimum enthalpies, we used a quasi-Newton method to relax the internal coordinates and the unit-cell shapes of all structures for a given pressure [B. G. Pfrommer, M. Côté, S. G. Louie, M. L. Cohen, J. Comp. Phys. 131, 233 (1997)).
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See L. V. Woodcock's [Nature 385, 141 (1997)] recent analysis emphasizing the importance of entropic stabilization of the fcc relative to the hcp structure for hard-sphere systems.
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Woodcock, L.V.1
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o′ for the two phases are within mutual uncertainties and are in close agreement with previous determinations [K. Asaumi, Phys. Rev. B 29, 7026 (1984)].
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Ross, M.1
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o′ for the two phases are within mutual uncertainties and are in close agreement with previous determinations [K. Asaumi, Phys. Rev. B 29, 7026 (1984)].
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Birch, F.1
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o′ for the two phases are within mutual uncertainties and are in close agreement with previous determinations [K. Asaumi, Phys. Rev. B 29, 7026 (1984)].
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Phys. Rev. B
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Asaumi, K.1
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Pergamon, New York, ed. 2
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Experimentally, we find evidence for a topotactic relation between the two phases, which suggests a martensitic or "military" type transformation [J. W. Christian, The Theory of Transformations in Metals and Alloys, Part I (Pergamon, New York, ed. 2, 1975)]. The (111) peak of the fcc phase and the (002) peak of the hcp phase appear at the same d spacing, which implies identical orientations for the close-packed planes in the two structures [A. F. Schuch, R. L. Mills, D. A. Depatie, Phys. Rev. 165, 1032 (1968)]. A similar geometrical relation explains why three other hcp peaks, (004), (112), and (110), are also coincident with the (222), (311), and (220) fcc peaks. It is possible that the detailed transformation mechanism is sensitive to the presence of even small nonhydrostatic stresses, however, so there is no reason to infer a disagreement between experiment and theory on this point.
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(1975)
The Theory of Transformations in Metals and Alloys, Part I
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Christian, J.W.1
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33
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0041754075
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Experimentally, we find evidence for a topotactic relation between the two phases, which suggests a martensitic or "military" type transformation [J. W. Christian, The Theory of Transformations in Metals and Alloys, Part I (Pergamon, New York, ed. 2, 1975)]. The (111) peak of the fcc phase and the (002) peak of the hcp phase appear at the same d spacing, which implies identical orientations for the close-packed planes in the two structures [A. F. Schuch, R. L. Mills, D. A. Depatie, Phys. Rev. 165, 1032 (1968)]. A similar geometrical relation explains why three other hcp peaks, (004), (112), and (110), are also coincident with the (222), (311), and (220) fcc peaks. It is possible that the detailed transformation mechanism is sensitive to the presence of even small nonhydrostatic stresses, however, so there is no reason to infer a disagreement between experiment and theory on this point.
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Phys. Rev.
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, pp. 1032
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Schuch, A.F.1
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Depatie, D.A.3
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34
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0025442752
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The hcp and bcc phases of Pb also have similar equations of state, a sluggish transformation between phases and a comparable large pressure range in which both phases coexist [H. K. Mao et al., Solid State Commun. 74, 1027 (1990)].
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Mao, H.K.1
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38
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1842291136
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note
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Supported by NASA, NSF, and the U.S. Department of Energy (DOE), including grants NSF DMR-9520554 and DOE DE-AC03-76SF00098. The computations were performed on the National Energy Research Scientific Computing Center T3E at Lawrence Berkeley National Laboratory. We thank M. S. T. Bukowinski, R. J. Hemley, M. L. Klein, and R. O. Pepin for helpful discussions.
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