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Valency

About: Valency is a research topic. Over the lifetime, 1632 publications have been published within this topic receiving 26141 citations.


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Journal ArticleDOI
TL;DR: In this article, all connected valency seven symmetric graphs of order 2pq are classified, where p, q are distinct primes, and for odd primes p and q, there is an infinite family of one-regular graphs with solvable automorphism groups.
Abstract: A graph is said to be symmetric if its automorphism group acts transitively on its arcs. In this paper, all connected valency seven symmetric graphs of order 2pq are classified, where p, q are distinct primes. It follows from the classification that there is a unique connected valency seven symmetric graph of order 4p, and that for odd primes p and q, there is an infinite family of connected valency seven one-regular graphs of order 2pq with solvable automorphism groups, and there are four sporadic ones with nonsolvable automorphism groups, which is 1, 2, 3-arc transitive, respectively. In particular, one of the four sporadic ones is primitive, and the other two of the four sporadic ones are bi-primitive.

4 citations

Journal ArticleDOI
TL;DR: The magnetic susceptibility of the dioxalatoplatinate acid (H 3 O) 1.6 [Pt(C 2 O 4 ) 2 ] n H 2 O, a mixed valency planar (MVP) compound with columnar structure and one-dimensional metallic conduction properties, has been measured in the temperature range 1.5 −300°K as mentioned in this paper.

4 citations

Patent
28 Sep 1960
TL;DR: In this paper, a modification of the BSS 1493/1948 is presented for polyolefins having a softening-point (30 degrees angle) of at least 115 DEG C.
Abstract: Polyolefins having a softening-point (30 degrees angle) of at least 115 DEG C. as determined in accordance with BSS 1493/1948 are prepared by polymerizing an a -olefin with the aid of a catalyst containing a Group IV(a), V(a), VI(a), VII(a) or VIII metal in two different valency states formed by mixing (1) a compound of a metal of the said Groups in its normal maximum valency state with (2) a compound of a metal of Group II or III(b) which contains in its molecular structure (a) a carbon-oxygen-metal bond and (b) a hydrogen-metal and/or a carbon-metal bond. In a modification of the process, component (1) comprises at least two compounds, in the normal maximum valency state and in the next lower valency state respectively, of a metal of the said Groups; the catalyst produced in this modification is claimed per se. TiCl3 and TiCl4 are preferred for component (1) but also mentioned are Ti and Zr tetrahalides generally, MnCl2, FeCl3, TiEt4, Cr acetylacetonate, MoCl5, VCl4 and WCl6. Component (2) includes compounds (i) in which the metal atom is part of a ring e.g. R-Al(-O-CH2)2 and R-Al (O-CH2)2CH2, (ii) containing a plurality of metal atoms e.g. (R2Al-O-CH2-)2, (RZn-O-CH2-)2 and [RAl(O-CH2R)-O-]2 (CH2)n and (iii) derived from CnF2n+1CH2OH alcohols e.g. CF3CH2OH specified components (2) in examples are PrZnOPr, EtAl(OR1)2 wherein R1 is ethyl, phenyl and p-chlorophenyl, mono (or di)-isobutyl aluminium di- (or mono-)-n-nonalate and Et-Al(OCH2)2. o-Dichlorobenzene and white oil are mentioned as diluents in addition to the usual hydrocarbons. C1-10 aliphatic alcohols e.g. methanol or 3 : 5 : 5-trimethylhexanol may be added to the reaction mixture. The catalyst may be aged before use. The invention is preferably applied to the polymerization or copolymerization of ethylene, but is also stated to be applicable to propylene. Specifications 799,392, 799,823, 801,031, 810,023, 816,614, 819,867, 837,053, 837,064, 840,859, 851,112 and 851,113 are referred to.ALSO:Polyolefins having a softening-point (30 degrees angle) of at least 115 DEG C. as determined in accordance with BSS 1493/1948 are prepared by polymerisng an a -olefin with the aid of a catalyst containing a Group IVA, VA, VIA, VIIA or VIII metal in two different valency states formed by mixing (1) a compound of a metal of the said Groups in its normal maximum valency state with (2) a compound of a metal of Group II or IIIb which contains in its molecular structure (a) a carbon-oxygen-metal bond and (b) a hydrogen-metal and/or a carbon-metal bond. In a modification of the process, component (1) comprises at least two compounds, in the normal maximum valency state and in the next lower valency state respectively, of a metal of the said Groups; the catalyst produced in this modification is claimed per se. TiCl3 and TiCl4 are preferred for component (1) but also mentioned are Ti and Zr tetrahalides generally, MnCl2, FeCl3, TiEt4, Cr acetylacetonate, MoCl5, VCl4 and WCl6. Component (2) includes compounds (i) in which the metal atom is part of a ring, e.g. R\\Al(-O-CH2)2 and R-Al(O-CH2)2CH2, (ii) containing a plurality of metal atoms, e.g. (R2Al-O-CH2-)2, (RZn-O-CH2-)2 and [RAl(O-CH2R)-O-]2(CH2)n and (iii) derived from CnF2n+1CH2OH alcohols, e.g. CF3CH2OH; specified components (2) in examples are PrZnOPr, EtAl(OR)2 wherein R1 is ethyl, phenyl and p-chlorophenyl, mono (or di)-isobutyl aluminium di (or mono)-n-nonalate and Et-Al(OCH2)2. o-Dichlorobenzene and white oil are mentioned as diluents in addition to the usual hydrocarbons. C1-10 aliphatic alcohols, e.g. methanol or 3 : 5 : 5-trimethylhexanol, may be added to the reaction mixture. The catalyst may be aged before use. The invention is preferably applied to the polymerisation or copolymerisation of ethylene, but it is also stated to be applicable to propylene. Specifications 799,392, 799,823, 801,031, 810,023, 816,614, 819,867, 837,053, 837,064, 840,859, 851,112 and 851,113 are referred to.

4 citations

Journal ArticleDOI
TL;DR: In this article, the effect of static impurities inducing diagonal disorder within a one band Hubbard model coupled to a localised state was examined and the formation of local moments on and near impurity sites in the antiferromagnetic phase was discussed.
Abstract: We suggest that when zinc is substituted for copper in the high T c superconductors, it does not necessarily have a valency of 2 + . Rather, the valency of a zinc impurity should be determined by its surrounding medium. To elaborate on this, we examine the effect of static impurities inducing diagonal disorder within a one band Hubbard model coupled to a localised state. We discuss the formation of local moments on and near impurity sites in the antiferromagnetic phase.

4 citations


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Performance
Metrics
No. of papers in the topic in previous years
YearPapers
202377
2022190
202119
202029
201937
201829