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ll921

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Based on the principle of such a polyhedra-type approach, it has been proposed that elastic properties such as thermal expansion or compressibility of perovskites can be estimated through the analysis of particular Raman modes, even without explicit knowledge of the Gr¨¹neisen parameters [43-45]. In the following we will test this model by using our temperature-dependent Raman spectra of DyScO3 and GdScO3. The method described in detail in ref. [43] is based on the following
assumptions. (i) Changes in the lattice parameter a induce changes in force constants k and consequently in vibrational frequencies (Gr¨¹neisen model) and (ii) polyhedron stretching modes involve mainly one type of force constants and the thermal expansion (or compressibility) of the polyhedron is determined by these microscopic force constants. Based on these assumptions, the approximation of a pseudo-cubic structure and that the force constants obey an empiric law for ionic
crystals as described in ref. [46], Loridant et al. [43] have proposed that the thermal expansion of a polyhedron can be described by the following empirical equation:

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emmanuel0227

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ll921(½ð±Ò+40, ·­ÒëEPI+1): ллÄã 2011-03-25 18:08:44
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Originally posted by ll921 at 2011-03-24 21:09:29:
Based on the principle of such a polyhedra-type approach, it has been proposed that elastic properties such as thermal expansion or compressibility of perovskites can be estimated through the analy ...

»ùÓÚ¶àÃæÐη½·¨ÀíÂÛ£¬Í¨¹ýÏêϸµÄRamanÄ£ÐÍ·ÖÎöÔÚȱÉÙGr¨¹neisen²ÎÊýµÄÇé¿öÏÂÆÀ¼ÛÁ˸ÆîÑ¿óÈÈÕÍ»òÊÕËõµÄµ¯ÐÔÌØÕ÷¡£ÎÒÃÇʹÓÃDyScO3 ºÍGdScO3µÄÒÀΣ¨ÓëζÈÓйأ©Raman ·¶Î§¶Ô¸ÃÄ£ÐͽøÐÐÁ˲âÊÔ¡£ÃèÊöÔÚÎÄÏ×[43]Öеķ½·¨ÊǾÓÓÚÏÂÃæµÄ¼ÙÉ裺£¨1£©¼¸¸ö²ÎÊýaµÄ¸Ä±äµ¼ÖÂÁËÁ¦³£ÊýkµÄ¸Ä±ä,½ø¶øµ¼ÖÂÕñ¶¯ÆµÂʵĸıä (Gr¨¹neisen model) (ii) ͨ¹ýÈý¸ö΢¹Û³£Êý²â¶¨¶àÃæÌåÀ­ÉìÄ£ÐÍ£¨¸ÃÄ£ÐͰüÀ¨Ò»ÖÖ¶àÃæÌåµÄÁ¦³£ÊýºÍÈÈÕÍ£¨»òÊÕËõ£©ÀàÐÍ£©¡£»ùÓÚÕâЩ¼ÙÉ裬1¸ö¼ÙÉèµÄÁ¢·½Ìå½á¹¹ºÍÁ¦³£ÊýµÄ½üËÆÖµ·þ´ÓÎÄÏ×[46]ÖÐÃèÊöµÄÀë×Ó¾§ÌåµÄ¾­Ñ鶨ÂÉ Loridant et al. [43] ÒѾ­Ìá³ö¶àÃæÌåµÄÈÈÅòÕÍÄÜÓÃÏÂÃæµÄ¾­Ñ鹫ʽÃèÊö:
2Â¥2011-03-25 14:17:38
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emmanuel0227

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God bless you
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