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FÍSICA DA MATÉRIA CONDENSADA - Sociedade Brasileira de Física

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TC<br />

CRI/8:30/4 4 f.<br />

Oenalne no Criatalogrmfia o. atdlnc10 doa<br />

satarlala<br />

tvanm P. Rmetarw:hmR - IFOSq<br />

CRI/9:10/4 4 f. ESTRUTURAS MODULA<strong>DA</strong>S BID1EENS10NAIS: UMA SINULACiO<br />

Nivaldo Lucie Special! e Carlos Basilio Pinheiro - Dept ') <strong>de</strong> Flaice - UFNO<br />

No espectro <strong>de</strong> Macio <strong>de</strong> estruturas medulada ■ observars@ um conjunto <strong>de</strong><br />

raflexass principais e um conjunto <strong>de</strong> reflesies satilites. Al primeiras estio relaciona<br />

das cam ■ estrutura <strong>de</strong> base, predominante no }o cristalino, • as segunda. aio ass;<br />

ciadas e variaçóes periódicas qua ocorria na poslces dos Atemos a/ou na ocupaçio doe<br />

sitie.. A indaxacio dos várias panto. da re<strong>de</strong> recíproca i feita com 3+d indlesa i.tei<br />

roo h k 11/ 1<br />

t ... md senda d a dimensio da modulacio.<br />

Resolver a estrutura nun caso geral significa encontrar as posicies<br />

dos átomos a a.trutura <strong>de</strong> base, on <strong>de</strong>slocamentos rYi e a [unçio <strong>de</strong> eprobabilidada dm<br />

ocupaçie<br />

No processo <strong>de</strong> procura e aoluçio da estrutura, a distribuiçio <strong>de</strong>s reflaliss<br />

.atllites die indicaçóes iniciais com respeito is funçóes <strong>de</strong> modulaçio.<br />

Nós ■ ienlamos estruturam moduladas bldimensionala numa escale tal quo pu<br />

<strong>de</strong>ssem. usar LASER para obter o espectro da difraçio. A <strong>de</strong>pen<strong>de</strong>neia do aspecto geral<br />

do espectro rem o tipo <strong>de</strong> modulaçio Mel estudado; aqui apresaeteremoe alguns resultado..<br />

CRI/4:30/4' !. I ON Ili EXPANSION OF RARLE-NAUFTNAN(E-N) DETERMINANTS INTO MULTIPLETS.<br />

By O.E.Piro, My. co Depta.of IFQSC.USP,C.P.369.13.560 Sio Carlo..SP ■ Brasil and UnLv.Nac.<br />

<strong>de</strong> La Flat.. C.C.67.1900 La Plata. Argentina and C.D. Rango.C.Tsoucari ■ and .1.N . Lab.<br />

<strong>de</strong> Pbysique.Facuití <strong>de</strong> Pharmacle.Univ.<strong>de</strong> Paris-Sud.92290 Chatenap-Nalabry.Pranca.<br />

Improved Direct Method formulations employing besi<strong>de</strong>s triplets. quartet and quintet<br />

products of structure factors(phase invarients)elearly suggest the useful phase Information<br />

conveyed by higher-or<strong>de</strong>r multipless is structure <strong>de</strong>termination procedures. These<br />

formulations can be obtained from the first few terms in the expansion of large joint<br />

probability distribution(j.p.d.) of structure factors constructed on the basis of Ii-N<br />

<strong>de</strong>terminants. In this connection. it has been pointed out that the power of<br />

Direct Natho= to solve large crystal structures is limited by the usual practice of<br />

approximating large j.p.d.'s by piecing together marginal distributions of single<br />

invariants. It in therefore in ing to <strong>de</strong>scribe how the full phasing power of large<br />

j.p.d.'e is reached by the pogressive incorporation of phase information due to higheror<strong>de</strong>r<br />

meltiplets. As a contribution to this goal. we disclose herewith the group<br />

th ical structure of the Muting phase invariants in the expansion of an<br />

arbitrary m-or<strong>de</strong>r R-H <strong>de</strong>terminant into mltiplets up to the or<strong>de</strong>r m. Implication: and<br />

possible applications of the results will be discussed.<br />

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