Predicting Long Pendant Edges in Model Phylogenies, with Applications to Biodiversity and Tree Inference.

In the simplest phylogenetic diversification model (the pure-birth Yule process), lineages split independently at a constant rate $\lambda$ for time $t$. The length of a randomly chosen edge (either interior or pendant) in the resulting tree has an expected value that rapidly converges to $\frac{1}{2\lambda}$ as $t$ grows and thus is essentially independent of $t$. However, the behavior of the length $L$ of the longest pendant edge reveals remarkably different behavior: $L$ converges to $t/2$ as the expected number of leaves grows.

Uranyl Sulfate Nanotubules Templated by N-phenylglycine.

The synthesis, structure, and infrared spectroscopy properties of the new organically templated uranyl sulfate Na(phgH⁺)₇[(UO₂)₆(SO₄)](H₂O) (), obtained at room temperature by evaporation from aqueous solution, are reported. Its structure contains unique uranyl sulfate [(UO₂)₆(SO₄)] nanotubules templated by protonated -phenylglycine (C₆H₅NH₂CH₂COOH)⁺. Their internal diameter is 1.