In order to express the apparent size of a flexible long chain molecule the radius of gyration σ around the centre of mass is an appropriate quantity, and its mean square 〈σ2〉 has been considered to be proportional to the number of elements of the chain n. We estimate the effect of the intramolecular interaction and find new equations &〈σ^2〉=const·n+const·n^1.5 &〈σ^2〉=const·n^1.5+const·n^2 Specific viscosity ηsp divided per weight concentration c must be &η_sp/c=const·n+const·n^1.5 \intertextor &η_sp/c=const·n^0.5+const·n In these equations the second term can never be neglected for large n. It amounts to one half of the first term even in the case of normal paraffine with only 100 carbon atoms. For large n the accurate formula η_sp/c=const.n^0.5+const.n^0.8 is obtained in the case of repulsive interaction, but in respect to the molecule of large molecular weight with attractive interaction the selfcoagulation into the very small size is concluded.
By use of a rigid sphere molecule model with attractive force of inverse cube law the viscosity coefficient of helium was calculated quantummechanically. It was found that the gap hitherto known between theory and experiment has become smaller at low temperatures than in case of no attractive force.
The foam formations were tested on the ternary system, methyl alcohol-ethyl alcohol-water, and five binary mixtures. It was found that the volume contraction is closely connected with the foaming properties. This was interpreted in relation to the micelle formation of mixtures.
The ratio of thorium emanation to radium emanation in natural waters was measured. Following three methods were used: (1) with the I. M. fontactoscope, (2) with the Lauritsen-type K. Y. fontactoscope, and (3) the indirect method, in which the radioactivity of the decay products of thorium emanation and radium emanation is measured with the Lauritsenetectroscope. It was found that thorium emanation is considerably widely distributed in the mineral springs and hot springs of Japan.
The thorium X and radium contents of mineral springs of Ikeda and the hot springs of Misasa were estimated. The ratio of thorium X to radium in these springs was considerably larger than that obtained by Kurbatov in Gelesnovdsk. The relation between the ratio of thorium X and radium, and water temperature, radium content, radon content, etc., was quite similar to that found in Masutomi.