Aza-polycyclic aromatic hydrocarbons: 1—Elucidation of the regiochemistry of 1,2,3,4-tetrahydroazabenz-[a]anthracene-7,12-diones by long-range carbon–proton coupling constants

The ¹³C NMR spectra of 5,8-quinolinedione, 6-chloro-5,8-quinolinedione and 7-chloro-5,8-quinolinedione have been examined in detail. Utilization of long-range proton-carbon coupling constants have allowed the unambiguous identification of the regioisomeric 8-aza-1,2,3,4-tetrahydrobenz[a]anthracene-7,12-dione and 11-aza-1,2,3,4-tetrahydrobenz[a]anthracene-7,12-dione.     

UV Subshell photoionisation cross-section of atomic Zn,Cd, and Hg: Experiment and theory

Partial photoionisation cross-sections have been measured at photon wavelengths of 584, 304, 256 and 243 Å for the valence d and s shells of zinc, cadmium and mercury atoms. These cross-sections have also been calculated using the GIPM, a simple one-electron method which obtains the final-state potential by an inversion of the Schrödinger equation for the initial orbital of the photoelectron in the Hartree-Fock wave function. Comparison shows good qualitative agreement between theory and experiment. The quantitative agreement is typically within a factor of 2. Angular asymmetry parameters have also been calculated and the branching ratio for the splitting of the d-subshell cross-section into ²D_{$\text{5}\text{2}$} and ²D_{$\text{3}\text{2}$} contributions has been measured.     

Remarks on Sade's disproof of the Euler conjecture with an application to latin squares orthogonal to their transpose

Sade's singular direct product method for constructing pairs of mutually orthogonal latin squares (MOLS), published in 1960, gives counter-examples for all n > 482 to the Euler conjecture that pairs of MOLS of order n do not exist whenever n ≡ 2 (mod 4).     

Further remarks on partitioning the edges of a graph

The main result is that if m and k are odd integers with m ≥ k ≥ 1, then any graph which is the union of m graphs of maximum valence k is also the union of k graphs of maximum valence m. This is not generally true if k > m.     

Embedding incomplete double diagonal Latin squares

An incomplete double diagonal Latin square of order n can be double-diagonally embedded in a double diagonal Latin square of order t if t is sufficiently large, unless n is odd and t is even in which case no such embedding is possible.