Chain decomposition of ozone in the CH3CHO-O3-O2 system

1979 ◽  
Vol 28 (6) ◽  
pp. 1126-1132
Author(s):  
V. D. Komissarov ◽  
I. N. Komissarova ◽  
G. K. Farrakhova ◽  
E. T. Denisov
Keyword(s):  
Chain Decomposition

scholarly journals Symmetric Chain Decompositions of Products of Posets with Long Chains

10.37236/7124 ◽  
2018 ◽  
Vol 25 (1) ◽  
Author(s):  
Stefan David ◽  
Hunter Spink ◽  
Marius Tiba
Keyword(s):  
Minimal Element ◽  
Difficult Case ◽  
Chain Decomposition ◽  
Graded Poset ◽  
Canonical Bijection ◽  
Symmetric Chain Decomposition ◽  
Symmetric Chain ◽  
Long Chains

We ask if there exists a symmetric chain decomposition of the cuboid $Q_k \times n$ such that no chain is taut, i.e. no chain has a subchain of the form $(a_1,\ldots, a_k,0)\prec \cdots\prec (a_1,\ldots,a_k,n-1)$. In this paper, we show this is true precisely when $k \ge 5$ and $n\ge 3$. This question arises naturally when considering products of symmetric chain decompositions which induce orthogonal chain decompositions — the existence of the decompositions provided in this paper unexpectedly resolves the most difficult case of previous work by the second author on almost orthogonal symmetric chain decompositions (2017), making progress on a conjecture of Shearer and Kleitman (1979). In general, we show that for a finite graded poset $P$, there exists a canonical bijection between symmetric chain decompositions of $P \times m$ and $P \times n$ for $m, n\ge rk(P) + 1$, that preserves the existence of taut chains. If $P$ has a unique maximal and minimal element, then we also produce a canonical $(rk(P) +1)$ to $1$ surjection from symmetric chain decompositions of $P \times (rk(P) + 1)$ to symmetric chain decompositions of $P \times rk(P)$ which sends decompositions with taut chains to decompositions with taut chains.

Chain Decomposition of Bis(oxalato)peroxotitanate(IV) Complex Initiated by Ti(III), Cr(II), and V(II)

1994 ◽  
Vol 67 (4) ◽  
pp. 1033-1040 ◽  
Author(s):  
Nobuyoshi Shinohara ◽  
Makoto Iwasawa ◽  
Takashi Akiyama
Keyword(s):  
Chain Decomposition

Catalysis by hydrogen halides in the gas phase. XVIII. Methyl formate and hydrogen bromide

1968 ◽  
Vol 21 (7) ◽  
pp. 1711
Author(s):  
DA Kairaitis ◽  
VR Stimson
Keyword(s):  
Carbon Monoxide ◽  
Gas Phase ◽  
Decomposition Product ◽  
Methyl Formate ◽  
Arrhenius Equation ◽  
Hydrogen Bromide ◽  
Radical Chain ◽  
Hydrogen Halides ◽  
Chain Decomposition ◽  
First Order

Hydrogen bromide catalyses the decomposition of methyl formate into carbon monoxide and methanol at 390-460�. The radical chain decomposition product, methane, is formed in only a small amount that is further reduced by the addition of inhibitor. The reaction is homogeneous and molecular, is first order in each reactant, and follows the Arrhenius equation: k2 = 1012.50exp(-32200/RT)sec-1 ml mole-1 It is not reversed by added methanol.

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