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Volumn 78, Issue 1, 2008, Pages

Raman scattering in hcp rare gas solids under pressure

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EID: 47949116045     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.78.014301     Document Type: Article
Times cited : (35)

References (37)
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    • It should be noted that this effective potential has a drawback as applied to lattice dynamics calculations: since the potential function has only two continuous derivatives at the joint point it gives rise to a nonphysical kink at the resulting curves; this is readily seen (Fig. 2) for Ar in the point where the dotted curve goes over to the dashed curve.
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    • This relation follows from lattice dynamics studies of the hcp crystal lattice (Ref.) and is exact if the following conditions are met: (1) anharmonic effects are negligible, (2) interactions beyond the next-nearest neighbors are negligible, and (3) four-body and higher many-body interactions are negligible. If some of the conditions (1)-(3) are invalid one might expect that the simple relation between C44 and ν (E2g) breaks down. The applicability of this relation for various hcp metals was examined (see, for example, Refs.) and it was shown to hold fairly well even though the fulfillment of the conditions (2) and (3) is questionable. For the hcp van der Waals solids (He, H2, D2, and β -N2) the same question has been analyzed in Ref.. For these substances, especially for solid helium and hydrogens near normal pressure, the most critical is the condition (1). Nonetheless, the departure form the relation was shown to be small.
    • This relation follows from lattice dynamics studies of the hcp crystal lattice (Ref.) and is exact if the following conditions are met: (1) anharmonic effects are negligible, (2) interactions beyond the next-nearest neighbors are negligible, and (3) four-body and higher many-body interactions are negligible. If some of the conditions (1)-(3) are invalid one might expect that the simple relation between C44 and ν (E2g) breaks down. The applicability of this relation for various hcp metals was examined (see, for example, Refs.) and it was shown to hold fairly well even though the fulfillment of the conditions (2) and (3) is questionable. For the hcp van der Waals solids (He, H2, D2, and β -N2) the same question has been analyzed in Ref.. For these substances, especially for solid helium and hydrogens near normal pressure, the most critical is the condition (1). Nonetheless, the departure form the relation was shown to be small.
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