Abstract

Of the above trinitrates, the cis-cis-cis and the cis-trans-cis isomers melted at 70" and 88'C.. respectively, but the racernic cis-cis-trans form remained as a colorless viscid oil. When clissolved in excess 0. 105 hi aqi~eous-alcoholic sodium hydroside a t 20°C., the cis-cis-cis isomer hydrolyzed most rapidly but formed least nitrite, and the solution developed most color. The same isomer evolved the smalles~ amount of oxides of nitrogen when kept a t 10G°C., but was more readily detonated by shock than was the cis-trans-czs-trinitrate. The relative reactivities toward alkali and heat of the much more stable czs and trans-cyclohexane-1,2-diol dinitrates, which melted a t 24' and 18.5"C., respectively, were a s described for the trinitrates, but their relative sensitivities to shock were no less. All five compounds were new.

The domain of the third-order theory of the single-mode laser is usually defined by the condition nB/A ≪ 1, where n is the photon number in the cavity, and A and B are the gain and saturation coefficients. When the laser cavity is detuned from line center by Δω ≡ ηγ, where γ is the natural linewidth of the atomic transition, A and B change in the prescribed manner given by the Lamb theory, and it is usually taken for granted that the theory is valid both for small and large detunings η. By examining the relationships between various parameters we show that the limits on the domain of the third-order laser theory effectively limit the allowed detuning in many common lasers to one natural linewidth (η ≈ 1).