Aqueous Assembly of Zwitterionic Daisy Chains
نویسندگان
چکیده
منابع مشابه
Daisy chains with three generators
For many positive odd integers n, whether prime, prime power or composite, the set Un of units of Zn contains members u, v and w, say with respective orders ψ, ω and π, such that we can write Un as the direct product Un = 〈u〉 × 〈v〉 × 〈w〉. Each element of Un can then be written in the form uvw where 0 ≤ i ≤ ψ − 1, 0 ≤ j ≤ ω− 1 and 0 ≤ k ≤ π− 1. We can then often use the structure of 〈u〉×〈v〉×〈w〉 ...
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For many positive odd integers n, whether prime or not, the set Un of units of Zn contains members t, u, v and w, say with respective orders τ , ψ, ω and π, such that we can write Un as the direct product Un = 〈t〉 × 〈u〉 × 〈v〉 × 〈w〉. Each element of Un can then be written in the form tuvw where 0 ≤ h < τ , 0 ≤ i < ψ, 0 ≤ j < ω and 0 ≤ k < π. We can then often use the structure of 〈t〉 × 〈u〉 × 〈v〉...
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“Daisy, Daisy, give me your answer, do!” [10] For any positive integer n, the units of Zn are those elements of Zn \ {0} that are coprime with n. The number of units in Zn is given by Euler’s totient function φ(n). If n is odd, a daisy chain for the units of Zn is obtained by arranging the units of Zn on a circle in some order [a1, a2, . . . , aφ(n)] such that the set of differences bi = ai+1 −...
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A couple of [c2]daisy chains have been assembled in each case from four components in quantitative yields at room temperature in acetonitrile as a result of the self-templated clippings of their [24]crown-8 rings by reversible imine bond formation around secondary dialkylammonium recognition sites in their stalks.
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Supramolecular nanoparticles (SNPs) are of high interest in both nanoscience and molecular diagnostics and therapeutics, because of their reversible and designable properties. To ensure colloidal stabilization and biocompatibility, most reported strategies require the use of hydrophilic long-chain polymers such as poly(ethylene glycol). Here, we show the formation of zwitterionic supramolecular...
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ژورنال
عنوان ژورنال: Chemistry – A European Journal
سال: 2018
ISSN: 0947-6539,1521-3765
DOI: 10.1002/chem.201803944