The story of the higher dimensional poincaré conjecture (what actually happened on the beaches of rio)

This article is an expanded version of a talk given at the 1989 annual joint meeting of the American Mathematical Society, and the Mathematical Association of America.     

Synthesis and absorption spectra of some 2,6-disubstituted 4-(4-dimethylaminophenyl)thiopyrylium perchlorates

The syntheses of 4-(4-dimethylaminophenyl)thiopyrylium perchlorate and the 2,6-dimethyl derivative are described, and the absorption spectra of these compounds and the 2,6-diphenyl derivative are compared with the corresponding pyrylium salts.     

Double acceptor-donor pair lines in cadmium sulfide

In this paper we report a new pair-spectrum resulting from the recombination of a double acceptor and a donor. Magnetic field studies show that in the excited state the two hole states are mixed due to the presence of the donor. This mixing results in a greater multiplicity in line splitting than has been observed in other types of pair-spectra. The Zeeman experiments confirmed the double-acceptor-donor complex and the Zeeman patterns were theoretically predicted. The effective g-value of the hole is proportional to $\text{[(g}{}_{\mathrm{h}}\text{cos}\text{θ)}{}^2\text{+ (g}{}_{\mathrm{h\perp }}\text{sin}\text{θ)}{}^2\text{]}{}^{\mathrm{<mtext>1</mtext><mtext>2</mtext>}}$ where θ is the angle between the c axis and the magnetic field.