Anti-isomorphism

As with carbides, there are three general classes. Ionic nitrides are formed by Li, Mg, Ca, Sr, Ba, Zn, and some others. Their formulas correspond to what would result from combination of the normal metal ions with N3- ions. They are all essentially ionic and are properly written as (Ca2+)3(N3 )2, (Li+)3N3, and so on. Nitrides of the type are often anti-isomorphous with oxides of the M203 type. This does not in itself mean that, like the oxides, they are ionic. However, their... 

Proof of (4.10.3.1). One reduces easily to where Y is connected. In view of (4.10.3), the first assertion follows then from the corresponding assertion for dualizing Oy-complexes [H, p. 266, Thm. 3.1]. The second assertion results from the sequence of natural ring isomorphisms and anti-isomorphisms—with R a dualizing Oy-complex and Vr —) = RWomx(—, i ) ... 

WATSON-CRICK-TYPE ANTPPARALLEL ANTI / ANTI ISOMORPHOUS... 

X-ray powder diagrams obtained by the Guinier method show the tris (O-ethyl dithiocarbonato) complexes of chro-mium(III), indium(III), cobalt(III), iron(III), arsenic(III), and antimony(III) to be isomorphous. Carrai and Gottardi have determined the structure of the arsenic(III)18 and anti-mony(III)19 complexes. Crystallographic data for the cobalt(III) and chromium(III) ethylxanthate complexes are given by Derenzini20 and Franzini and Schiaffino,21 respectively. 

If So is the spectrum of a perfect field k then classical Dieudonne theory gives us a con-travariant functor G M(G) of C(l)s0 into the category of finite dimensional fc-vectorspaces. Since there is a canonical isomorphism M(GM) = M(G) P the module M(G) is endowed with the action of Frobenius F and Verschiebung V. The functor G (Af(G),F,V) is an anti equivalence of C(l)s0 with the category of triples (Af, F, C ), where M is a finite dimensional fc-vectors pace and F — Af, resp. V M are linear maps such that F o V — 0... 

Compared to reactions with methyl halides, reactions of [M(sdt)2]2 (M = Ni, Pd, Pt) with benzyl halides are more complex (64). Three interconvertible isomers (9-11) have been observed in solution by low-temperature nuclear magnetic resonance (NMR) spectroscopy (Scheme 5). The trans-anti isomers (9) for all three metals have been isolated and are isomorphous (64). 

The phosphide IrP2 is isomorphous with RI1P2 fr2P and IrPs adopt the anti-CnF2 and skuttemdite stmctures, respectively. Crystalline IrAss and IrSbs also possess a skuttemdite stmcture. Ternary phosphides and arsenides include Ca2fri2P7 andCa5fri9Pi2. ... 

Of course several formulations are possible for the compound. Fortuntely the solid gave a simple X-ray powder diffraction photograph which was indexed on the basis of a cubic unit cell, a = 10.032A. The compound was apparently structurally similar to potassium hexafluoro-antimonate (V) the structure of which had been given by Bode and Voss Furthermore we found that nitro-syl hexafluoro-osmate (V) and nitrosyl hexafluoro-anti-monate (V) were also isomorphous with the compound. Figure 4 shows the close resemblance of the X-ray powder... 

En effet, si A et B sont deux objets de (k, A B est encore une algebra anti-commutative graduee ([9] chap. Ill 4 n° 9 Proposition 14) de plus, la compatibilite de 1 isomorphisms de commutativite i et du produit tensoriel resultant de la relation... 

The salts FeH2P30io and CrH2P30io are formed in similar dehydration sequences, and the acid salts of all three metals exist in various isomorphous and polymorphic forms. Both CrH2P30io 2H2O and AIH2P3O10 2H2O find use in anti-corrosive pigment formulations. Both salts can form intercalation compounds (Chapter 12). 

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