One order of magnitude: The transport of Na+ and K+ ions through a phospholipid bilayer occurs with much higher conductance levels with 1 and 2 than with typical Na+-transporting proteins or gramicidin. However, the cations do not appear to pass through the calix[4]arene ring, which has a rigid 1,3-alternate conformation. diazacrown=10-benyzl-1,10-diaza[18]crown-6 group.
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Mendoza et al. (1998) studied this question.