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Tingrui Li Yilitabaier Julaiti Xiaopeng Wu Jie Han Dr. Jin Xie 《Chemistry (Weinheim an der Bergstrasse, Germany)》2022,28(71):e202202851
The gold-catalyzed ring-opening rearrangement of cyclopropenes affords an efficient route to either polysubstituted naphthols or aryl-substituted furans. Owing to the unique dichotomy of gold−carbenes, this protocol provides a switchable reaction selectivity between naphthols and furans enabled by the use of TFP−Au(MeCN)SbF6 (tri(2-furyl) phosphine) or PNP(AuNTf2)2 (bis(diphenylphosphino)(isopropyl) amine) as catalysts respectively. It is proposed that the gold−carbene intermediate might be involved in the cyclopropene→naphthol rearrangement while the gold-carbocation is more likely to be involved in the cyclopropene→furan rearrangement. 相似文献
2.
Zhongzhi Zhang Alafate Julaiti Baoyu Hou Hongjuan Zhang Guanrong Chen 《The European Physical Journal B - Condensed Matter and Complex Systems》2011,84(4):691-697
In this paper, by using two different techniques we derive an explicit formula for the
mean first-passage time (MFPT) between any pair of nodes on a general undirected network,
which is expressed in terms of eigenvalues and eigenvectors of an associated matrix
similar to the transition matrix. We then apply the formula to derive a lower bound for
the MFPT to arrive at a given node with the starting point chosen from the stationary
distribution over the set of nodes. We show that for a correlated scale-free network of
size N with a degree distribution
P(d) ∼ d
−γ
,
the scaling of the lower bound is
N
1−1/γ
. Also, we
provide a simple derivation for an eigentime identity. Our work leads to a comprehensive
understanding of recent results about random walks on complex networks, especially on
scale-free networks. 相似文献
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