To derive the pair potential from observed structural data the Born-Green equation has been numerically solved by a linearized simultaneous equation method without any initial function. Liquid Cs has a long-range oscillatory potential, whereas liquid Ar has a Lennard-Jones type potential. Problems such as truncating the infinite integral at a finite upper value in computing the pair potential have been discussed by means of numerical analysis. Zur zahlenmasigen Berechnung des Paarpotentials aus gemessenen strukturellen Daten wird die Born-Greensche Gleichung unter Verwendung einer linearisierten algebraischen Gleichung ohne Anfangswertfunktion gelost. Flussiges Cs hat ein oszillierendes Potential groser Reichweite, flussiges Ar dagegen ein Potential vom Lennard-Jones-Typ. Das Problem, das der unendliche Integrationsbereich bei der Berechnung des Paarpotentials bei einem bestimmten oberen Wert abgeschnitten werden mus, wird mit Hilfe numerischer Analyse eingehend diskutiert.
{"title":"Numerical Solution of the Born-Green Equation for the Pair Potential","authors":"Y. Waseda, K. Suzuki","doi":"10.1002/PSSB.2220470125","DOIUrl":"https://doi.org/10.1002/PSSB.2220470125","url":null,"abstract":"To derive the pair potential from observed structural data the Born-Green equation has been numerically solved by a linearized simultaneous equation method without any initial function. Liquid Cs has a long-range oscillatory potential, whereas liquid Ar has a Lennard-Jones type potential. Problems such as truncating the infinite integral at a finite upper value in computing the pair potential have been discussed by means of numerical analysis. \u0000 \u0000 \u0000 \u0000Zur zahlenmasigen Berechnung des Paarpotentials aus gemessenen strukturellen Daten wird die Born-Greensche Gleichung unter Verwendung einer linearisierten algebraischen Gleichung ohne Anfangswertfunktion gelost. Flussiges Cs hat ein oszillierendes Potential groser Reichweite, flussiges Ar dagegen ein Potential vom Lennard-Jones-Typ. Das Problem, das der unendliche Integrationsbereich bei der Berechnung des Paarpotentials bei einem bestimmten oberen Wert abgeschnitten werden mus, wird mit Hilfe numerischer Analyse eingehend diskutiert.","PeriodicalId":21586,"journal":{"name":"Science reports of the Research Institutes, Tohoku University. Ser. A, Physics, chemistry and metallurgy","volume":"62 1","pages":"201"},"PeriodicalIF":0.0,"publicationDate":"1971-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81074962","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 1971-07-01DOI: 10.1080/14786437108217028
M. Koiwa
Abstract Interstitial atoms in ternary b.c.c. alloys exhibit hydrostatic relaxation, if an applied stress has a dilatational stress component. The effect is absent in binary alloys. Hydrostatic relaxation, in contrast to orientation relaxation effect, involves long-range diffusion; in order to understand various aspects of the process, calculations are made for imaginary lattices. Internal friction curves are computed for different solute concentrations in a real three-dimensional lattice. The height and the temperature of the peak are compared for hydrostatic relaxation and orientation relaxation.
{"title":"Theory of the Snoek Effect in Ternary B.C.C. Alloys : III Hydrostatic Relaxation","authors":"M. Koiwa","doi":"10.1080/14786437108217028","DOIUrl":"https://doi.org/10.1080/14786437108217028","url":null,"abstract":"Abstract Interstitial atoms in ternary b.c.c. alloys exhibit hydrostatic relaxation, if an applied stress has a dilatational stress component. The effect is absent in binary alloys. Hydrostatic relaxation, in contrast to orientation relaxation effect, involves long-range diffusion; in order to understand various aspects of the process, calculations are made for imaginary lattices. Internal friction curves are computed for different solute concentrations in a real three-dimensional lattice. The height and the temperature of the peak are compared for hydrostatic relaxation and orientation relaxation.","PeriodicalId":21586,"journal":{"name":"Science reports of the Research Institutes, Tohoku University. Ser. A, Physics, chemistry and metallurgy","volume":"51 1","pages":"198-198"},"PeriodicalIF":0.0,"publicationDate":"1971-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77914388","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 1971-07-01DOI: 10.1080/14786437108216426
M. Koiwa
{"title":"Theory of the Snoek Effect in Ternary B.C.C. Alloys : I. General Theory","authors":"M. Koiwa","doi":"10.1080/14786437108216426","DOIUrl":"https://doi.org/10.1080/14786437108216426","url":null,"abstract":"","PeriodicalId":21586,"journal":{"name":"Science reports of the Research Institutes, Tohoku University. Ser. A, Physics, chemistry and metallurgy","volume":"14 1","pages":"196"},"PeriodicalIF":0.0,"publicationDate":"1971-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85221005","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 1971-06-01DOI: 10.1080/14786437108217007
H. Yoshinaga, S. Morozumi
Abstract A solute atmosphere, will be formed round a moving dislocation in a solid solution, when the dislocation velocity is smaller than the critical value for the case of solute atoms interacting hydrostatically with an edge dislocation, where A is a parameter indicating the strength of the interaction, b′ is a distance of the order of the interatomic one, and the other parameters have their usual meanings. There may exist another critical velocity (Cottrell 1953 a), v CH, which corresponds to the maximum drag stress due to the solute atmosphere. In the range of v CH < v < v CL, a moving dislocation will be subjected to a lower dragging stress with higher velocity. A kind of Portevin-Le Chatelier effect is expected from this dynamical instability of plasticity.
当位错速度小于溶质原子与边缘位错流体静力作用的临界值时，固溶体中移动位错周围会形成溶质气氛，其中A为表示相互作用强度的参数，b′为原子间相互作用的阶距，其他参数均有其通常含义。可能还存在另一个临界速度(Cottrell 1953 a) v CH，它对应于溶质大气引起的最大阻力应力。在v CH < v < v CL范围内，运动位错受到的拖拽应力较小，速度较快。一种波蒂文-勒夏特列效应被期望从塑性的动力不稳定性。
{"title":"A Portevin-Le Chatelier Effect expected from Solute Atmosphere Dragging","authors":"H. Yoshinaga, S. Morozumi","doi":"10.1080/14786437108217007","DOIUrl":"https://doi.org/10.1080/14786437108217007","url":null,"abstract":"Abstract A solute atmosphere, will be formed round a moving dislocation in a solid solution, when the dislocation velocity is smaller than the critical value for the case of solute atoms interacting hydrostatically with an edge dislocation, where A is a parameter indicating the strength of the interaction, b′ is a distance of the order of the interatomic one, and the other parameters have their usual meanings. There may exist another critical velocity (Cottrell 1953 a), v CH, which corresponds to the maximum drag stress due to the solute atmosphere. In the range of v CH < v < v CL, a moving dislocation will be subjected to a lower dragging stress with higher velocity. A kind of Portevin-Le Chatelier effect is expected from this dynamical instability of plasticity.","PeriodicalId":21586,"journal":{"name":"Science reports of the Research Institutes, Tohoku University. Ser. A, Physics, chemistry and metallurgy","volume":"35 1","pages":"144"},"PeriodicalIF":0.0,"publicationDate":"1971-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85188644","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Addition compound formation between uranyl bis-thenoyltrifluoroacetonate (UO2A2) and tributyl phosphate(S) was studied by a partition method, using uranium-237 as the tracer. The formula of the adduct complex was shown to be UO2A2·S. The solvent effect on the adduct formation constant was taken into account in connection with the activity; the activity coefficients of each species in various solutions were calculated from the molar volume and the solubility parameter. The formation constants based on the molar fraction, Kx, in a number of solvents were pre-estimated, employing logKx=7.08 in carbon tetrachloride as a reference. They are in agreement with the observed values. The formation constant in terms of activity was found to be constant logKS°=5.77±0.30. A correlation between the formation constants of the two adducts, UO2A2·S and ZnA2·S, was demonstrated.
{"title":"The Effect of Solvents on the Adduct Formation of Uranyl Thenoyltrifluoroacetonate with Tributyl Phosphate","authors":"K. Akiba, N. Suzuki","doi":"10.1246/BCSJ.44.1043","DOIUrl":"https://doi.org/10.1246/BCSJ.44.1043","url":null,"abstract":"Addition compound formation between uranyl bis-thenoyltrifluoroacetonate (UO2A2) and tributyl phosphate(S) was studied by a partition method, using uranium-237 as the tracer. The formula of the adduct complex was shown to be UO2A2·S. The solvent effect on the adduct formation constant was taken into account in connection with the activity; the activity coefficients of each species in various solutions were calculated from the molar volume and the solubility parameter. The formation constants based on the molar fraction, Kx, in a number of solvents were pre-estimated, employing logKx=7.08 in carbon tetrachloride as a reference. They are in agreement with the observed values. The formation constant in terms of activity was found to be constant logKS°=5.77±0.30. A correlation between the formation constants of the two adducts, UO2A2·S and ZnA2·S, was demonstrated.","PeriodicalId":21586,"journal":{"name":"Science reports of the Research Institutes, Tohoku University. Ser. A, Physics, chemistry and metallurgy","volume":"3 1","pages":"59"},"PeriodicalIF":0.0,"publicationDate":"1971-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82427720","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 1971-03-01DOI: 10.2355/TETSUTOHAGANE1955.57.3_566
T. Ototani, Yasuji Kataura, T. Fukuda
An investigation has beell made 011 the preci/Jitatioll oj A 1 N in vaCllUIII melted iron wires containing 0.003, 0.036, and 0.012 wtO ° A I, solutiontreated at 1 200"e, cold-reduced to 10°o, and isothermally annealed in the range 500' to 100oe . The behaviour oj A I N in a-iron during annealing was JoLLowed by low frequency internal Jriction measurement . By separating the observed Snoek peaks ill to those oj carbon and nitrogen, the amounts oj carbon and nitrogen dissolved in solution were determined. The results obtained were summarized as JoLLows : (I ) In Fe0 .003 wt O,o A I, Ilitrided or carburized prior to the solutiontreatment, the amount oj dissolved nitrogen u:as increased during isothemial anllealing at 600 0 e aJter cold reductioll, whereas the amoullt q! dissolved carbon decreased to the solubility limil. (2) Some difference was seen in the IJrocess oj AIN precil)itatioll during isothermal annealing between Fc0.036 wt°;" A I-O.006 wt 0" 1':, in which the A I N IJarticies were completely dissolved by a solutioll-treatment at 1 200 ' e, and FeO.012 wt % AIO.028 wt O oN, in which some oj the AIN j)articies remained undissolved. AIN precipitation ill both cases occurred during the recovery and in the early stage oj recrystaLLization at 600' e, and the reClystaLLization was retarded. (3) 111 Fc0.012 wt% AlO.028 wt%N annealed at 100De, the recrystaLLization was comlJleted bifore A I N preci/Jitation started. Hou'ever, a preheat-treatment oj Jor 20 hr at soooe given l;rior to 100ee allllealillg did significalltly affect the recrystaLLization l;rocess by promoting A I N Im cipitation and decreasing the recrystaLLi:::atioll rate .
{"title":"Precipitation of Aluminium Nitride during Recrystallization of α-Iron","authors":"T. Ototani, Yasuji Kataura, T. Fukuda","doi":"10.2355/TETSUTOHAGANE1955.57.3_566","DOIUrl":"https://doi.org/10.2355/TETSUTOHAGANE1955.57.3_566","url":null,"abstract":"An investigation has beell made 011 the preci/Jitatioll oj A 1 N in vaCllUIII melted iron wires containing 0.003, 0.036, and 0.012 wtO ° A I, solutiontreated at 1 200\"e, cold-reduced to 10°o, and isothermally annealed in the range 500' to 100oe . The behaviour oj A I N in a-iron during annealing was JoLLowed by low frequency internal Jriction measurement . By separating the observed Snoek peaks ill to those oj carbon and nitrogen, the amounts oj carbon and nitrogen dissolved in solution were determined. The results obtained were summarized as JoLLows : (I ) In Fe0 .003 wt O,o A I, Ilitrided or carburized prior to the solutiontreatment, the amount oj dissolved nitrogen u:as increased during isothemial anllealing at 600 0 e aJter cold reductioll, whereas the amoullt q! dissolved carbon decreased to the solubility limil. (2) Some difference was seen in the IJrocess oj AIN precil)itatioll during isothermal annealing between Fc0.036 wt°;\" A I-O.006 wt 0\" 1':, in which the A I N IJarticies were completely dissolved by a solutioll-treatment at 1 200 ' e, and FeO.012 wt % AIO.028 wt O oN, in which some oj the AIN j)articies remained undissolved. AIN precipitation ill both cases occurred during the recovery and in the early stage oj recrystaLLization at 600' e, and the reClystaLLization was retarded. (3) 111 Fc0.012 wt% AlO.028 wt%N annealed at 100De, the recrystaLLization was comlJleted bifore A I N preci/Jitation started. Hou'ever, a preheat-treatment oj Jor 20 hr at soooe given l;rior to 100ee allllealillg did significalltly affect the recrystaLLization l;rocess by promoting A I N Im cipitation and decreasing the recrystaLLi:::atioll rate .","PeriodicalId":21586,"journal":{"name":"Science reports of the Research Institutes, Tohoku University. Ser. A, Physics, chemistry and metallurgy","volume":"47 1","pages":"220"},"PeriodicalIF":0.0,"publicationDate":"1971-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84825661","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Oxyfluoride phases for the rare earth Sm, Eu, Gd, Tb, Dy, Ho, Er, Tm, Yb, and Y have been prepared by heating a mixture of lanthanon fluorides, LnF3, and lanthanon oxides, Ln2O3. Three phases were ...
{"title":"The Crystal Structure and Nonstoichiometry of Rare Earth Oxyfluoride","authors":"K. Niihara, S. Yajima","doi":"10.1246/BCSJ.44.643","DOIUrl":"https://doi.org/10.1246/BCSJ.44.643","url":null,"abstract":"Oxyfluoride phases for the rare earth Sm, Eu, Gd, Tb, Dy, Ho, Er, Tm, Yb, and Y have been prepared by heating a mixture of lanthanon fluorides, LnF3, and lanthanon oxides, Ln2O3. Three phases were ...","PeriodicalId":21586,"journal":{"name":"Science reports of the Research Institutes, Tohoku University. Ser. A, Physics, chemistry and metallurgy","volume":"9 1","pages":"218"},"PeriodicalIF":0.0,"publicationDate":"1971-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79293543","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Studies of the chemical behavior of protactinium(V) in a perchloric acid solution were carried out by the HDEHP-benzene extraction method. When the protactinium concentration was lower than 10−7 M, the extraction reaction was considered to proceed as:PaO(OH)2+aq.+ 3(HA)2 org.= PaOp(OH)qA5−2p−q(HA)2p+q+1 org.+ 2H+aq.+ (2–p–q)H2Oaq.where p=1, q=0 or 1, and p=2, q=0andPa(OH)32+aq.+ 3(HA)2 org.= PaOp(OH)qA5−2p−q(HA)2p+q+1 org.+ 2H+aq.+ (3–p-q)H2Oaq.where p=0, q=0, 1, 2, or 3; p=1, q=0 or 1 and p=2, q=0.
{"title":"The Chemistry of Protactinium. IX : A Study of the Solvent Extraction of Protactinium (V) from a Perchloric Acid Solution Using Di (2-ethylhexyl) phosphoric Acid as the Extractant","authors":"T. Mitsugashira","doi":"10.1246/BCSJ.44.1305","DOIUrl":"https://doi.org/10.1246/BCSJ.44.1305","url":null,"abstract":"Studies of the chemical behavior of protactinium(V) in a perchloric acid solution were carried out by the HDEHP-benzene extraction method. When the protactinium concentration was lower than 10−7 M, the extraction reaction was considered to proceed as:PaO(OH)2+aq.+ 3(HA)2 org.= PaOp(OH)qA5−2p−q(HA)2p+q+1 org.+ 2H+aq.+ (2–p–q)H2Oaq.where p=1, q=0 or 1, and p=2, q=0andPa(OH)32+aq.+ 3(HA)2 org.= PaOp(OH)qA5−2p−q(HA)2p+q+1 org.+ 2H+aq.+ (3–p-q)H2Oaq.where p=0, q=0, 1, 2, or 3; p=1, q=0 or 1 and p=2, q=0.","PeriodicalId":21586,"journal":{"name":"Science reports of the Research Institutes, Tohoku University. Ser. A, Physics, chemistry and metallurgy","volume":"12 1","pages":"135"},"PeriodicalIF":0.0,"publicationDate":"1971-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81503973","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 1971-01-01DOI: 10.2320/MATERTRANS1960.12.192
R. Hanada
{"title":"Effect of the Interstitial Cluster on the Lattice Expansion of Irradiated Metals","authors":"R. Hanada","doi":"10.2320/MATERTRANS1960.12.192","DOIUrl":"https://doi.org/10.2320/MATERTRANS1960.12.192","url":null,"abstract":"","PeriodicalId":21586,"journal":{"name":"Science reports of the Research Institutes, Tohoku University. Ser. A, Physics, chemistry and metallurgy","volume":"11 3 1","pages":"136"},"PeriodicalIF":0.0,"publicationDate":"1971-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82834116","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Transformation of Retained Austenite and Observation of Cracks under Low-Cycle Fatigue Testing","authors":"Y. Imai, S. Kumagai","doi":"10.2472/JSMS.20.1285","DOIUrl":"https://doi.org/10.2472/JSMS.20.1285","url":null,"abstract":"","PeriodicalId":21586,"journal":{"name":"Science reports of the Research Institutes, Tohoku University. Ser. A, Physics, chemistry and metallurgy","volume":"85 1","pages":"1-15"},"PeriodicalIF":0.0,"publicationDate":"1971-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74592578","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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