A general method of calculating the frequency shift due to lattice defects is developed for a one dimensional lattice with an arbitrary number of lattice points. The method is based on the Fourier transform of the equation of motion. It is shown that the frequency spectrum is determined by the roots of 5${\times}$5 secular equation, the coefficients of which depend on defects in the mass and the force constant as well as the number of the lattice points. For the limiting case of infinite lattice, the dimension of the secular equation reduces to three and the result agrees with that of Montroll and Potts.

Significant structure theory has been applied to the viscosities of supercooled liquids with success. In the supercooled region, the effect of free volume decrease is so significant that the thermal effects on the solid-like volume must be considered properly. In addition, the two state theories proposed by Jhon and Eyring for water and Litovitz et al. for boron trioxide have been successfully applied to the structure change in the liquid state. Considered liquids are benzene, carbon tetrachloride, p-xylene, water and boron trioxide.

Free radicals of lysozyme produced by $Ti-H_2O_2$ system were studied in aqueous solution at room temperature using ESR with a continuous flow-mixing. The spectra, each consisting of a doublet with 5.5 G splitting and a broad resonance covering 80 G splitting are closely similar in shape to that for solid irradiated in vacuum at $77^{\circ}K$ and observed at room temperature immediately on warming. The result is assumed to indicate that the secondary protein radical components formed within 0.01 second, dead time of the mixing chamber, and initiated by hydrogen atom abstraction at ${\alpha}$-carbon atom of peptide chain in liquid solution at room temperature are identical to those resulting from the initial formation of a mixture of positive holes and negative ions by ionization processes as well as radical fragments by the rupture of chemical bonds in the solid during similar time at the same temperature. A broad resonance is observed with considerable amplitude on the high field side of the doublet, which is quite dissimilar to the spectra of irradiated solid lysozyme. This resonance was tentatively attributed to the polypeptide free radical in which unpaired electrons are localized on side chain.

Stoichiometry of hydrazine-bromate reaction has been studied in acid media of varying compositions, elucidating the effects of bromide and chloride ions in sulfuric acid, perchloric acid, hydrochloric acid, and hydrobromic acid at varying concentrations of hydrogen ion and cupric ion. The study shows that the number of red-ox equivalent consumed by one mole of hydrazine becomes practically 4.00 if the concentrations of bromide and hydrogen ions are kept higher than 0.1M and 6M, respectively. The presence of copper tends to reduce the bromate consumption by hydrazine in an irregular manner, but such an effect becomes unimportant if the concentrations of bromide and hydrogen ions are kept sufficiently high.

고 순도 팔라듐 금속(99.9%)에 함유된 루테늄 함량을 $^{104}Ru(n,{\gamma};{\beta}^-)^{105}Rh$의 핵반응에 의하여 생성된 $^{105}Rh$의 방사능을 계축하므로써 결정하였다. 원자로에서 조사된 팔라듐 시료와 루테늄 표준시료를 왕수 처리 및 과산화나트륨으로 용융시킨다음 $^{105}Rh$을 음이온 및 양이온 교환수지로 분리하였다. 팔라듐 시료로 부터 얻은 $^{105}Rh$의 방사능을 루테늄 표준시료로 부터 얻은 $^{105}Rh$의 방사능과 비교하므로서 루테늄의 함량을 결정하였다. 본 방법으로 구한 루테늄의 검출한계는 팔라듐 10mg을 시료로 하였을 때 약 1ppm이었으며 이 검출 감도는 $^{102}Ru(n,{\gamma})^{103}Ru$의 핵반응을 사용한 종래의 방사화 분석에 비해 약 40배 더 예민하였다.

The adsorption method for the determination of the formation constants of the metal complexes with organic acids was developed by using membrane filters. The adsorption method involved the measurements of radioactivities of the adsorbed metal on membrane filters and the filtrate solution after the radioactive metal ion were filtered through membrane filters in the presence of organic ions of varying concentration. Comparing the adsorption method with the ion exchange method, it was seen that the adsorption method was simpler and faster than the ion exchange method. As an example of the metal complex with organic acid yttrium citrate complex was chosen, and the formation constant of the complex obtained by the adsorption method showed $K_f=2.0{\times}10^{-4}(l. mole^{-1})$ at a pH of 7. Also the present study revealed that the carrierfree state of yttrium in aqueous solution was present in the completely ionized state.

The thermodynamic parameters for the solvolysis of the p-chlorobenzyl chloride taking place in the various aqueous mixtures were determined. From the application of these data to the formula ${\delta}_M{\Delta}H^{\neq}=a'Y+b{\delta}_M{\Delta}S^{\neq}$ the following conclusion was obtained: That the substrate constant a' differs in different aqueous solvent was found, and using each a' value the solvolysis mechanism of p-chlorobenzyl chloride in each aqueous mixture can be determined.

The theory of solubility proposed by Jhon and Kihara has been tested and applied to various systems. In the present paper, the systems are the solubilities of gases such as $Ar,\;H_2,\;N_2,\;O_2,\;CO_2,\;CH_4,\;and\;C_2H_6$ in liquid benzene and carbon disulfide, those of solids iodine and naphthalene in the nonaqueous solvents, and those of gases $H_2,\;N_2,\;O_2,\;Ar,\;CH_4,\;and\;C_2H_4$ in the electrolyte solutions. The theoretical values of solubilities are in good agreement with the experimental data in the literature.