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 Different alcohols were formylated by formic acid under solvent-free conditions in the presence of iodine as the catalyst with good-to-high yields at room temperature. I2 generated in situ from Fe(NO3)3·9H2O/NaI also catalyzed the formylation of the alcohols under solvent-free conditions. This gives a green and efficient reaction at room temperature, in which the use of toxic and corrosive molecular I2 is avoided.  相似文献   
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Let g and h be arbitrary elements of a given finite group G. Then g and h are said to be autoconjugate if there exists some automorphism α of G such that h = gα. In this article, we construct some sharp bounds for the probability that two random elements of G are autoconjugate, denoted by \(\mathcal {P}_{a}(G)\). It is also shown that \(\mathcal {P}_{a}(G)|G|\) depends only on the autoisoclinism class of G.  相似文献   
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