[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"_public_publisher_byId_d5921a5e-0b06-42e4-88d7-7f647527eba9":3,"_public_publication_all{\"sortAscending\":false,\"sortField\":\"updateTime\",\"page\":0,\"size\":10,\"facet\":true,\"searchKey\":\"publisherId:d5921a5e-0b06-42e4-88d7-7f647527eba9,\"}":59},{"code":4,"data":5,"meta":20},"SUCCESS",{"id":6,"createTime":7,"updateTime":8,"relativeEntities":9,"slug":10,"properties":11,"entityType":18,"verifyStatus":19,"verifyTime":20,"verifyNote":20,"languages":20,"translateLanguages":20,"viewCount":21,"subjectFields":22,"manageAffiliations":23,"indexDatabases":24,"url":20,"thumbnailPath":20,"statistic":25,"gsStatistic":20,"type":20,"analyzePriority":20},"d5921a5e-0b06-42e4-88d7-7f647527eba9","2024-07-18T07:44:38.925+00:00","2025-02-10T03:39:35.562+00:00",[],"The-Royal-Society",{"issn":12,"title":14,"eissn":16},{"VOID":13},"0080-4614",{"EN":15},"The Royal Society",{"VOID":17},"2054-0272","PUBLISHER","PENDING",null,0,[],[],[],{"impactFactor":21,"impactFactorByYear":26,"i10Index":27,"i10IndexLast5Year":21,"totalPublication":28,"totalPublicationByYear":29,"totalCitation":33,"totalCitationByYear":34,"totalCitationPerPublication":52,"totalCitationPerPublicationByYear":53,"hindexLast5Year":27,"hindex":27},{},23,24,{"1948":30,"1951":31,"1955":31,"1956":31,"1959":31,"1960":31,"1961":31,"1963":31,"1965":31,"1977":31,"1979":30,"1980":30,"1981":32,"1982":30,"1983":31,"1984":31,"1990":31},2,1,4,16564,{"1948":35,"1951":36,"1955":37,"1956":38,"1959":39,"1960":40,"1961":41,"1963":42,"1965":43,"1977":44,"1979":45,"1980":46,"1981":47,"1982":48,"1983":49,"1984":50,"1990":51},6309,5139,132,6,563,133,115,138,231,790,287,802,935,86,98,245,555,690.17,{"1948":54,"1951":36,"1955":37,"1956":38,"1959":39,"1960":40,"1961":41,"1963":42,"1965":43,"1977":44,"1979":55,"1980":56,"1981":57,"1982":58,"1983":49,"1984":50,"1990":51},3154.5,143.5,401,233.75,43,{"meta":60,"data":62},{"total":61},"89",[63,225,315,547,655,798,1064,1164,1381,1540],{"id":64,"createTime":65,"updateTime":66,"relativeEntities":67,"slug":68,"properties":69,"entityType":81,"verifyStatus":82,"verifyTime":65,"verifyNote":83,"languages":84,"translateLanguages":86,"viewCount":21,"primaryUrl":88,"fullTextUrl":20,"authors":89,"publicationType":107,"publisherRelationship":108,"citationCount":130,"citationInfo":131,"publishDate":134,"publishYear":132,"citationAnalyzeStatus":19,"lastCitationAnalyze":20,"indexDatabases":135,"openAccess":20,"references":136,"isForceReanalyzing":224},"744c37fa-517c-4e9e-b7cb-428939184403","2024-09-22T16:59:22.757+00:00","2026-09-17T06:17:47.620+00:00",[],"The-absorption-spectrum-of-the-free-NCO-radical",{"openalex":70,"mag":72,"abstract":74,"title":76,"doi":79},{"VOID":71},"W2079667801",{"VOID":73},"2079667801",{"EN":75},"\u003Cjats:p>\n            Two systems of absorption bands have been observed in the visible and ultra-violet regions of the spectrum during the flash photolysis of several organic cyanates, and have been photographed under high resolution with long absorbing paths. Extensive vibrational and rotational analyses have been carried out for the bands of one system and show that the spectrum is due to an electronic transition\n            \u003Cjats:italic>A\u003C\u002Fjats:italic>\n            (\n            \u003Cjats:sup>2\u003C\u002Fjats:sup>\n            \u003Cjats:italic>Z\u003C\u002Fjats:italic>\n            \u003Cjats:sup>+\u003C\u002Fjats:sup>\n            ) <--\n            \u003Cjats:italic>X\u003C\u002Fjats:italic>\n            (\n            \u003Cjats:sup>2\u003C\u002Fjats:sup>\n            \u003Cjats:italic>II\u003C\u002Fjats:italic>\n            <\n            \u003Cjats:sub>i\u003C\u002Fjats:sub>\n            ) of the free NCO radical, which is linear in both states. All three vibrational frequencies and the first-order anharmonic constants have been obtained for the upper state,\n            \u003Cjats:italic>A\u003C\u002Fjats:italic>\n            (\n            \u003Cjats:sup>2\u003C\u002Fjats:sup>\n            \u003Cjats:italic>{\u003C\u002Fjats:italic>\n            \u003Cjats:sup>+\u003C\u002Fjats:sup>\n            ), and give a close fit to the term values of 21 observed vibrational levels. A Fermi resonance has been observed between\n            \u003Cjats:italic>v\u003C\u002Fjats:italic>\n            '\n            \u003Cjats:sub>1\u003C\u002Fjats:sub>\n            and 2v'\n            \u003Cjats:sub>2\u003C\u002Fjats:sub>\n            . In addition, the rotational constants\n            \u003Cjats:italic>B'\u003C\u002Fjats:italic>\n            and\n            \u003Cjats:italic>D'\u003C\u002Fjats:italic>\n            and their variations with all three fundamental vibrations have been obtained for this state. Transitions have been observed from four excited levels of the bending vibration in the lower state,\n            \u003Cjats:italic>X\u003C\u002Fjats:italic>\n            (\n            \u003Cjats:sup>2\u003C\u002Fjats:sup>\n            \u003Cjats:italic>\n              II\n              \u003Cjats:sub>i\u003C\u002Fjats:sub>\n            \u003C\u002Fjats:italic>\n            ), and the rotational constants have been determined for some of these levels. Interaction between the electronic and vibrational motions (Renner effect) complicates the vibrational structure of this state. The state belongs to Hund’s coupling case (\n            \u003Cjats:italic>a\u003C\u002Fjats:italic>\n            ), and the spin-orbit coupling gives a splitting\n            \u003Cjats:italic>A\"\u003C\u002Fjats:italic>\n            = —95.6 cm<super>-1<\u002Fsuper>. In a\n            \u003Cjats:sup>2\u003C\u002Fjats:sup>\n            \u003Cjats:italic>{\u003C\u002Fjats:italic>\n            \u003Cjats:sup>+\u003C\u002Fjats:sup>\n            vibronic level of this state (arising from\n            \u003Cjats:italic>l\u003C\u002Fjats:italic>\n            = 1 and A = 1) the spin sp\n            \u003Cjats:italic \u002F>\n            litting is proportional to\n            \u003Cjats:italic>N\u003C\u002Fjats:italic>\n            +1\u002F2, but the spin-splitting constant\n            \u003Cjats:italic>y\u003C\u002Fjats:italic>\n            is unusually large, and amounts to 30 % of the\n            \u003Cjats:italic>B\u003C\u002Fjats:italic>\n            value. The electronic states of NCO are correlated with those of its dissociation products. This shows that the bond dissociation energy of the CO bond is slightly greater than that of the CN bond in the three known states.\n          \u003C\u002Fjats:p>",{"EN":77,"VI":78},"The absorption spectrum of the free NCO radical","Phổ hấp thụ của gốc tự do NCO",{"VOID":80},"10.1098\u002Frsta.1960.0003","PUBLICATION","VERIFIED","Auto Verify",[85],"EN",[87],"VI","https:\u002F\u002Froyalsocietypublishing.org\u002Fdoi\u002F10.1098\u002Frsta.1960.0003",[90],{"id":91,"sortIndex":21,"researcher":20,"roles":92,"affiliations":93,"properties":102,"displayName":104,"givenName":20,"familyName":20},"37cb48b4-e916-48d4-9786-67ee8fa64d92",[],[94],{"id":95,"sortIndex":21,"affiliation":96,"properties":20},"91fd1b49-68a4-4701-947b-becbfc095fb5",{"id":95,"createTime":20,"updateTime":20,"relativeEntities":97,"slug":20,"properties":98,"entityType":20,"verifyStatus":20,"verifyTime":20,"verifyNote":20,"languages":20,"translateLanguages":20,"viewCount":20,"url":20,"parentIds":101,"statistic":20},[],{"title":99},{"EN":100},"Division of Pure Physics, National Research Council, Ottawa, #N#Canada.",[],{"title":103,"openalex":105},{"EN":104},"Richard N. Dixon",{"VOID":106},"A5058485544","ARTICLE",{"url":20,"publisher":109,"properties":123},{"id":6,"createTime":7,"updateTime":8,"relativeEntities":110,"slug":10,"properties":111,"entityType":18,"verifyStatus":19,"verifyTime":20,"verifyNote":20,"languages":20,"translateLanguages":20,"viewCount":21,"subjectFields":115,"manageAffiliations":116,"indexDatabases":117,"url":20,"thumbnailPath":20,"statistic":118,"gsStatistic":20,"type":20,"analyzePriority":20},[],{"issn":112,"title":113,"eissn":114},{"VOID":13},{"EN":15},{"VOID":17},[],[],[],{"impactFactor":21,"impactFactorByYear":119,"i10Index":27,"i10IndexLast5Year":21,"totalPublication":28,"totalPublicationByYear":120,"totalCitation":33,"totalCitationByYear":121,"totalCitationPerPublication":52,"totalCitationPerPublicationByYear":122,"hindexLast5Year":27,"hindex":27},{},{"1948":30,"1951":31,"1955":31,"1956":31,"1959":31,"1960":31,"1961":31,"1963":31,"1965":31,"1977":31,"1979":30,"1980":30,"1981":32,"1982":30,"1983":31,"1984":31,"1990":31},{"1948":35,"1951":36,"1955":37,"1956":38,"1959":39,"1960":40,"1961":41,"1963":42,"1965":43,"1977":44,"1979":45,"1980":46,"1981":47,"1982":48,"1983":49,"1984":50,"1990":51},{"1948":54,"1951":36,"1955":37,"1956":38,"1959":39,"1960":40,"1961":41,"1963":42,"1965":43,"1977":44,"1979":55,"1980":56,"1981":57,"1982":58,"1983":49,"1984":50,"1990":51},{"issue":124,"pages":126,"volume":128},{"VOID":125},"1007",{"VOID":127},"165-192",{"VOID":129},"252",146,{"total":130,"publishYear":132,"statisticByYear":133},1960,{"2016":31,"2018":31,"2019":31,"2020":31,"2021":31,"2022":31},"1960-01-28",[],[137,140,143,146,149,152,155,158,161,164,167,170,173,176,179,182,185,188,191,194,197,200,203,206,209,212,215,218,221],{"id":20,"text":138,"url":20,"identifiers":139},"Adel A. & Dennison D. M. 1933",{},{"id":20,"text":141,"url":20,"identifiers":142},"Almy G. M. & Horsfall R. B. 1937",{},{"id":20,"text":144,"url":20,"identifiers":145},"Am at G. & Goldsmith M. 1955",{},{"id":20,"text":147,"url":20,"identifiers":148},"Bueso-Sanllehi F. 1941",{},{"id":20,"text":150,"url":20,"identifiers":151},"Phys.Rev. 44 99. Phys.Rev. 51 491.",{},{"id":20,"text":153,"url":20,"identifiers":154},"J.Chem. Phys. 23 1171.",{},{"id":20,"text":156,"url":20,"identifiers":157},"Phys.Rev. 60 656.",{},{"id":20,"text":159,"url":20,"identifiers":160},"Callomon J ., 1957, Canad, J. Phys., 35, 129",{},{"id":20,"text":162,"url":20,"identifiers":163},"10.1039\u002Ftf9555100001",{"doi":162},{"id":20,"text":165,"url":20,"identifiers":166},"Coburn T. J . Rao K. N. & Nielsen H. H. 1956",{},{"id":20,"text":168,"url":20,"identifiers":169},"Courtoy C. P., 1957, Canad. J, Phys., 35, 608",{},{"id":20,"text":171,"url":20,"identifiers":172},"10.1063\u002F1.1742161",{"doi":171},{"id":20,"text":174,"url":20,"identifiers":175},"10.1063\u002F1.1730304",{"doi":174},{"id":20,"text":177,"url":20,"identifiers":178},"Dixon R. N. 19596 Canad. J. Phys. (in the Press).",{},{"id":20,"text":180,"url":20,"identifiers":181},"Dressier K. & Ramsay D. A. 1959",{},{"id":20,"text":183,"url":20,"identifiers":184},"10.1364\u002FJOSA.43.000339",{"doi":183},{"id":20,"text":186,"url":20,"identifiers":187},"10.1007\u002FBF01341712",{"doi":186},{"id":20,"text":189,"url":20,"identifiers":190},"Gaydon A. G. 1953 Dissociation energies and spectra o f diatomic molecules. L ondon: Chapm an and Hall Ltd.",{},{"id":20,"text":192,"url":20,"identifiers":193},"Harrison G. R. 1939 M .I.T . wavelength tables. New York: Jo h n Wiley and Sons Inc.",{},{"id":20,"text":195,"url":20,"identifiers":196},"10.1063\u002F1.1700145",{"doi":195},{"id":20,"text":198,"url":20,"identifiers":199},"Herzberg G. 1950 Spectra of diatomic molecules. New York: D. Van Nostrand Co. Inc.",{},{"id":20,"text":201,"url":20,"identifiers":202},"Herzberg G., 1933, Z. phys, Chem. B, 21, 410",{},{"id":20,"text":204,"url":20,"identifiers":205},"10.1103\u002FPhysRev.32.250",{"doi":204},{"id":20,"text":207,"url":20,"identifiers":208},"10.1038\u002F182336a0",{"doi":207},{"id":20,"text":210,"url":20,"identifiers":211},"Jevons W. 1932 Report on the band-spectra of diatomic molecules. London: Physical Society.",{},{"id":20,"text":213,"url":20,"identifiers":214},"Mrozowski S. 1947",{},{"id":20,"text":216,"url":20,"identifiers":217},"Mulliken R. S. & Christy A. 1931",{},{"id":20,"text":219,"url":20,"identifiers":220},"Nielsen H. H. 1950",{},{"id":20,"text":222,"url":20,"identifiers":223},"Phys.Rev. 72 682 691 and earlier papers.",{},false,{"id":226,"createTime":227,"updateTime":228,"relativeEntities":229,"slug":230,"properties":231,"entityType":81,"verifyStatus":82,"verifyTime":246,"verifyNote":83,"languages":247,"translateLanguages":248,"viewCount":21,"primaryUrl":249,"fullTextUrl":20,"authors":250,"publicationType":107,"publisherRelationship":276,"citationCount":298,"citationInfo":299,"publishDate":312,"publishYear":300,"citationAnalyzeStatus":19,"lastCitationAnalyze":20,"indexDatabases":313,"openAccess":20,"references":314,"isForceReanalyzing":224},"4fb50bd1-9e58-462f-9a23-15de22dbe071","2024-10-09T21:42:48.966+00:00","2025-02-26T19:49:43.507+00:00",[],"Lead-isotopic-study-of-young-volcanic-rocks-from-mid-ocean-ridges-ocean-islands-and-island-arcs",{"openalex":232,"mag":234,"abstract":236,"title":239,"keywords":242,"doi":244},{"VOID":233},"W2039100744",{"VOID":235},"2039100744",{"EN":237,"VI":238},"\u003Cjats:p>\n            Lead isotopic compositions of young volcanic rocks from different tectonic environments have distinctive characteristics. Their differences are evaluated within the framework of global tectonics and mantle differentiation. Ocean island leads are in general more radiogenic than mid-ocean ridge basalt (m.o.r.b.) leads. They form linear trends on lead isotopic ratio plots. Many of the trends extend toward the field of m.o.r.b. On plots of\n            \u003Cjats:sup>207\u003C\u002Fjats:sup>\n            P b \u002F\n            \u003Cjats:sup>204\u003C\u002Fjats:sup>\n            Pb against\n            \u003Cjats:sup>206\u003C\u002Fjats:sup>\n            Pb \u002F\n            \u003Cjats:sup>204\u003C\u002Fjats:sup>\n            Pb, their slopes are generally close to 0.1. Island arc leads in general are confined between sediment and m.o.r.b. type leads with slopes of\n            \u003Cjats:italic>ca\u003C\u002Fjats:italic>\n            . 0.30 on a plot of\n            \u003Cjats:sup>207\u003C\u002Fjats:sup>\n            P b \u002F\n            \u003Cjats:sup>204\u003C\u002Fjats:sup>\n            Pb against\n            \u003Cjats:sup>206\u003C\u002Fjats:sup>\n            Pb \u002F\n            \u003Cjats:sup>204\u003C\u002Fjats:sup>\n            Pb. Pb, Sr and Nd isotopic data of Hawaiian volcanics are closely examined. Data from each island support a two-component mixing model. However, there is a lack of full range correlation between islands, indicating heterogeneity in the end members. This mixing model could also be extended to explain data from the Iceland-Reykjanes ridge, and from 45° N on the Atlantic Ridge. The observed chemical and isotopic heterogeneity in young volcanic rocks is considered to be a result of long-term as well as short-term mantle differentiation and mixing. Lead isotopic data from ocean islands are interpreted in terms of mantle evolution models that involve long-term (more than 2 Ga) mantle chemical and isotopic heterogeneity. Incompatible element enriched ‘plume’-type m.o.r.b. have Th\u002FU ratios\n            \u003Cjats:italic>ca\u003C\u002Fjats:italic>\n            . 3.0 too low and Rb\u002FSr ratios\n            \u003Cjats:italic>ca\u003C\u002Fjats:italic>\n            . 0.04 too high to generate the observed\n            \u003Cjats:sup>208\u003C\u002Fjats:sup>\n            Pb and\n            \u003Cjats:sup>87\u003C\u002Fjats:sup>\n            Sr respectively for long periods of time. Elemental fractionation in the mantle must have occurred very recently. This conclusion also applies to mantle sources for ocean island alkali basalts and nephelinites. Depletion of incompatible elements in m.o.r.b. sources is most probably due to continuous extraction of silicate melt and\u002For fluid phase from the low-velocity zone throughout geological time. Data on Pb isotopes, Sr isotopes and trace elements on volcanic rocks from island arcs are evaluated in terms of mixing models involving three components derived from (1) sub-arc mantle wedge, (2) dehydration or partial melting of subducted ocean crust, and (3) continental crust contamination. In contrast to the relation between\n            \u003Cjats:sup>87\u003C\u002Fjats:sup>\n            Sr\u002F\n            \u003Cjats:sup>86\u003C\u002Fjats:sup>\n            Sr and\n            \u003Cjats:sup>143\u003C\u002Fjats:sup>\n            Nd \u002F\n            \u003Cjats:sup>144\u003C\u002Fjats:sup>\n            Nd ratios of ocean volcanics, there is a general lack of correlation between Pb and Sr isotopic ratios except that samples with very radiogenic Pb (\n            \u003Cjats:sup>206\u003C\u002Fjats:sup>\n            Pb \u002F\n            \u003Cjats:sup>204\u003C\u002Fjats:sup>\n            Pb > 19.5) have low\n            \u003Cjats:sup>87\u003C\u002Fjats:sup>\n            Sr\u002F\n            \u003Cjats:sup>87\u003C\u002Fjats:sup>\n            Sr ratios (0.7028- 0.7035). These samples also have inferred source Th\u002FU ratios (3.0-3.5) not high enough to support long-term growth of\n            \u003Cjats:sup>208\u003C\u002Fjats:sup>\n            Pb. Data suggest that their mantle sources have long-term integrated depletion in Rb, Th, U and light r.e.e. High\n            \u003Cjats:sup>238\u003C\u002Fjats:sup>\n            U \u002F\n            \u003Cjats:sup>204\u003C\u002Fjats:sup>\n            Pb (y a)values required by the Pb isotopic data are most probably due to depletion of Pb by separation of a sulphide phase. Relations between Pb, Sr and Nd isotopic ratios of young volcanic rocks could be explained by simultaneous upward migration of silicate and\u002For fluid phase and downward migration of a sulphide phase in a differentiating mantle.ration of a sulphide phase in a differentiating mantle.\n          \u003C\u002Fjats:p>","\u003Cjats:p>\n            Thành phần đồng vị chì của các đá núi lửa trẻ từ các môi trường kiến tạo khác nhau có đặc điểm riêng biệt. Sự khác biệt của chúng được đánh giá trong khuôn khổ kiến tạo toàn cầu và sự phân tách manti. Tổng quát, chì từ các đảo đại dương có tính phóng xạ cao hơn so với chì từ đá bazan ở rãnh giữa đại dương (m.o.r.b.). Chúng tạo thành các xu hướng tuyến tính trên các đồ thị tỷ lệ đồng vị chì. Nhiều xu hướng này mở rộng về phía vùng của m.o.r.b. Trên các đồ thị\n            \u003Cjats:sup>207\u003C\u002Fjats:sup>\n            Pb \u002F\n            \u003Cjats:sup>204\u003C\u002Fjats:sup>\n            Pb so với\n            \u003Cjats:sup>206\u003C\u002Fjats:sup>\n            Pb \u002F\n            \u003Cjats:sup>204\u003C\u002Fjats:sup>\n            Pb, độ dốc của chúng thường gần với 0.1. Chì từ cung đảo thường bị giới hạn giữa chì từ trầm tích và chì m.o.r.b với độ dốc\n            \u003Cjats:italic>ca\u003C\u002Fjats:italic>\n            . 0.30 trên đồ thị\n            \u003Cjats:sup>207\u003C\u002Fjats:sup>\n            Pb \u002F\n            \u003Cjats:sup>204\u003C\u002Fjats:sup>\n            Pb so với\n            \u003Cjats:sup>206\u003C\u002Fjats:sup>\n            Pb \u002F\n            \u003Cjats:sup>204\u003C\u002Fjats:sup>\n            Pb. Dữ liệu về đồng vị Pb, Sr và Nd của các đá núi lửa Hawaii được xem xét kỹ lưỡng. Dữ liệu từ mỗi hòn đảo hỗ trợ cho một mô hình pha trộn hai thành phần. Tuy nhiên, không có sự tương quan đầy đủ giữa các hòn đảo, điều này cho thấy sự không đồng nhất ở các nguồn cuối. Mô hình pha trộn này cũng có thể được mở rộng để giải thích dữ liệu từ rãnh Iceland-Reykjanes, và từ 45° N trên Rãnh Đại Tây Dương. Sự không đồng nhất về hóa học và đồng vị quan sát thấy ở các đá núi lửa trẻ được coi là kết quả của sự phân tách và pha trộn manti trong thời gian dài cũng như thời gian ngắn. Dữ liệu đồng vị chì từ các đảo đại dương được giải thích dựa trên các mô hình tiến hóa manti liên quan đến sự không đồng nhất hóa học và đồng vị manti lâu dài (hơn 2 Ga). Các loại m.o.r.b. giàu nguyên tố không tương hợp 'plume' có tỷ lệ Th\u002FU\n            \u003Cjats:italic>ca\u003C\u002Fjats:italic>\n            . 3.0 quá thấp và tỷ lệ Rb\u002FSr\n            \u003Cjats:italic>ca\u003C\u002Fjats:italic>\n            . 0.04 quá cao để tạo ra các đồng vị chì quan sát thấy\n            \u003Cjats:sup>208\u003C\u002Fjats:sup>\n            Pb và\n            \u003Cjats:sup>87\u003C\u002Fjats:sup>\n            Sr lần lượt trong thời gian dài. Sự phân đoạn nguyên tố trong manti phải đã xảy ra gần đây. Kết luận này cũng áp dụng cho các nguồn manti cho đá bazan kiềm đảo đại dương và nephelinites. Sự cạn kiệt của các nguyên tố không tương hợp trong các nguồn m.o.r.b. rất có thể là do sự chiết xuất liên tục của dịch lỏng silicate và\u002Fhoặc giai đoạn dịch lỏng từ vùng vận tốc thấp xuyên suốt thời gian địa chất. Dữ liệu về đồng vị Pb, đồng vị Sr và các nguyên tố vết từ các đá núi lửa từ cung đảo được đánh giá dưới dạng các mô hình pha trộn liên quan đến ba thành phần xuất phát từ (1) khối kim loại dưới cung, (2) mất nước hoặc nóng chảy từng phần của lớp vỏ đại dương bị chìm, và (3) sự ô nhiễm từ lớp vỏ lục địa. Ngược lại với mối quan hệ giữa tỷ lệ\n            \u003Cjats:sup>87\u003C\u002Fjats:sup>\n            Sr\u002F\n            \u003Cjats:sup>86\u003C\u002Fjats:sup>\n            Sr và\n            \u003Cjats:sup>143\u003C\u002Fjats:sup>\n            Nd \u002F\n            \u003Cjats:sup>144\u003C\u002Fjats:sup>\n            Nd của các núi lửa đại dương, có sự thiếu hụt chung trong sự tương quan giữa tỷ lệ đồng vị Pb và Sr trừ khi mẫu có Pb phóng xạ cao rất ( \n            \u003Cjats:sup>206\u003C\u002Fjats:sup>\n            Pb \u002F\n            \u003Cjats:sup>204\u003C\u002Fjats:sup>\n            Pb > 19.5) có tỷ lệ\n            \u003Cjats:sup>87\u003C\u002Fjats:sup>\n            Sr\u002F\n            \u003Cjats:sup>87\u003C\u002Fjats:sup>\n            Sr thấp (0.7028- 0.7035). Những mẫu này cũng có tỷ lệ Th\u002FU nguồn suy diễn (3.0-3.5) không đủ cao để hỗ trợ sự phát triển lâu dài của\n            \u003Cjats:sup>208\u003C\u002Fjats:sup>\n            Pb. Dữ liệu cho thấy rằng các nguồn manti của chúng có sự cạn kiệt tích lũy lâu dài trong Rb, Th, U và nguyên tố hiếm nhẹ. Các giá trị \n            \u003Cjats:sup>238\u003C\u002Fjats:sup>\n            U \u002F\n            \u003Cjats:sup>204\u003C\u002Fjats:sup>\n            Pb (y a) yêu cầu bởi dữ liệu đồng vị Pb rất có thể là do sự cạn kiệt Pb do sự tách rời của giai đoạn sulfide. Mối quan hệ giữa các tỷ lệ đồng vị Pb, Sr và Nd của các đá núi lửa trẻ có thể được giải thích bằng sự di chuyển đồng thời lên trên của giai đoạn silicate và\u002Fhoặc dịch lỏng và sự di chuyển xuống dưới của một giai đoạn sulfide trong một manti đang phân hóa.",{"EN":240,"VI":241},"Lead isotopic study of young volcanic rocks from mid-ocean ridges, ocean islands and island arcs","Nghiên cứu đồng vị chì của các đá núi lửa trẻ từ các rãnh giữa đại dương, đảo đại dương và cung đảo",{"VI":243},"",{"VOID":245},"10.1098\u002Frsta.1980.0224","2024-10-09T21:42:48.965+00:00",[85],[87],"https:\u002F\u002Froyalsocietypublishing.org\u002Fdoi\u002F10.1098\u002Frsta.1980.0224",[251],{"id":252,"sortIndex":21,"researcher":20,"roles":253,"affiliations":254,"properties":271,"displayName":273,"givenName":20,"familyName":20},"756f1c97-fb01-4578-a382-0860934e878c",[],[255,263],{"id":256,"sortIndex":21,"affiliation":257,"properties":20},"41302593-dbf5-4595-9d03-878f6a3ade7a",{"id":256,"createTime":20,"updateTime":20,"relativeEntities":258,"slug":20,"properties":259,"entityType":20,"verifyStatus":20,"verifyTime":20,"verifyNote":20,"languages":20,"translateLanguages":20,"viewCount":20,"url":20,"parentIds":262,"statistic":20},[],{"title":260},{"EN":261},"Find this author on PubMed",[],{"id":264,"sortIndex":31,"affiliation":265,"properties":20},"44e296f4-35c4-4181-95e7-17605234bd14",{"id":264,"createTime":20,"updateTime":20,"relativeEntities":266,"slug":20,"properties":267,"entityType":20,"verifyStatus":20,"verifyTime":20,"verifyNote":20,"languages":20,"translateLanguages":20,"viewCount":20,"url":20,"parentIds":270,"statistic":20},[],{"title":268},{"EN":269},"Google Scholar",[],{"title":272,"openalex":274},{"EN":273},"Shen‐Su Sun",{"VOID":275},"A5103475528",{"url":20,"publisher":277,"properties":291},{"id":6,"createTime":7,"updateTime":8,"relativeEntities":278,"slug":10,"properties":279,"entityType":18,"verifyStatus":19,"verifyTime":20,"verifyNote":20,"languages":20,"translateLanguages":20,"viewCount":21,"subjectFields":283,"manageAffiliations":284,"indexDatabases":285,"url":20,"thumbnailPath":20,"statistic":286,"gsStatistic":20,"type":20,"analyzePriority":20},[],{"issn":280,"title":281,"eissn":282},{"VOID":13},{"EN":15},{"VOID":17},[],[],[],{"impactFactor":21,"impactFactorByYear":287,"i10Index":27,"i10IndexLast5Year":21,"totalPublication":28,"totalPublicationByYear":288,"totalCitation":33,"totalCitationByYear":289,"totalCitationPerPublication":52,"totalCitationPerPublicationByYear":290,"hindexLast5Year":27,"hindex":27},{},{"1948":30,"1951":31,"1955":31,"1956":31,"1959":31,"1960":31,"1961":31,"1963":31,"1965":31,"1977":31,"1979":30,"1980":30,"1981":32,"1982":30,"1983":31,"1984":31,"1990":31},{"1948":35,"1951":36,"1955":37,"1956":38,"1959":39,"1960":40,"1961":41,"1963":42,"1965":43,"1977":44,"1979":45,"1980":46,"1981":47,"1982":48,"1983":49,"1984":50,"1990":51},{"1948":54,"1951":36,"1955":37,"1956":38,"1959":39,"1960":40,"1961":41,"1963":42,"1965":43,"1977":44,"1979":55,"1980":56,"1981":57,"1982":58,"1983":49,"1984":50,"1990":51},{"issue":292,"pages":294,"volume":296},{"VOID":293},"1431",{"VOID":295},"409-445",{"VOID":297},"297",1127,{"total":298,"publishYear":300,"statisticByYear":301},1980,{"2012":302,"2013":303,"2014":304,"2015":305,"2016":306,"2017":305,"2018":303,"2019":307,"2020":307,"2021":308,"2022":309,"2023":310,"2024":311},21,20,17,13,16,22,12,8,14,7,"1980-07-24",[],[],{"id":316,"createTime":317,"updateTime":318,"relativeEntities":319,"slug":320,"properties":321,"entityType":81,"verifyStatus":19,"verifyTime":317,"verifyNote":335,"languages":336,"translateLanguages":337,"viewCount":21,"primaryUrl":338,"fullTextUrl":20,"authors":339,"publicationType":107,"publisherRelationship":385,"citationCount":407,"citationInfo":408,"publishDate":423,"publishYear":409,"citationAnalyzeStatus":19,"lastCitationAnalyze":20,"indexDatabases":424,"openAccess":20,"references":425,"isForceReanalyzing":224},"00a2f83c-ed9d-4715-addf-7b807cea0b4a","2024-09-26T11:18:38.681+00:00","2025-02-26T19:48:30.944+00:00",[],"Fractionation-of-lignocellulosics-by-steam-aqueous-pretreatments",{"openalex":322,"mag":324,"abstract":326,"title":329,"keywords":332,"doi":333},{"VOID":323},"W1677000125",{"VOID":325},"1677000125",{"EN":327,"VI":328},"\u003Cjats:p>Physical processing or pretreatment of lignocellulosics concerns the ultrastructural modification of materials such as wood, straw and bagasse. The substrates produced can be subsequently converted by chemicals. The various pretreatment options will be discussed in the light of the ultrastructural, polymeric and chemical modifications that are obtained. The processes can be classified as follows: (i) steam; (ii) aqueous; and (iii) organosolvolysis treatments. All of these have their antecedents in the thermomechanical processes developed by the pulp and paper or fibreboard industries. Sequential application of thermomechanical technology leads to fractionation of the substrate into the major polymeric fractions: cellulose, hemicellulose and lignin in varying degrees of modification. A number of pretreatment concepts are now at a commercial scale and are being applied to produce foodstuffs from lignocellulosics for use by ruminant animals. The same techniques are being piloted in the energy and chemicals from lignocellulosics field.\u003C\u002Fjats:p>","\u003Cjats:p>Xử lý vật lý hoặc tiền xử lý lignocellulosic liên quan đến việc sửa đổi cấu trúc siêu vi của các vật liệu như gỗ, rơm và bã mía. Các nền tảng sản xuất ra có thể được chuyển đổi bằng hóa chất. Các tùy chọn tiền xử lý khác nhau sẽ được thảo luận trong bối cảnh các sửa đổi siêu cấu trúc, polymer và hóa học đạt được. Các quy trình này có thể được phân loại như sau: (i) xử lý bằng hơi nước; (ii) xử lý bằng nước; và (iii) xử lý bằng organosolvolysis. Tất cả các phương pháp này đều có nguồn gốc từ các quy trình cơ nhiệt phát triển bởi ngành công nghiệp bột giấy hoặc tấm sợi. Việc áp dụng công nghệ cơ nhiệt theo trình tự dẫn đến phân tách nền tảng thành các phân số polymer chính: celluloses, hemicellulose và lignin với mức độ sửa đổi khác nhau. Một số khái niệm tiền xử lý hiện đã đạt quy mô thương mại và đang được áp dụng để sản xuất thực phẩm từ lignocellulosics cho động vật nhai lại. Các kỹ thuật tương tự cũng đang được thử nghiệm trong lĩnh vực năng lượng và hóa chất từ lignocellulosics.\u003C\u002Fjats:p>",{"EN":330,"VI":331},"Fractionation of lignocellulosics by steam-aqueous pretreatments","Phân tách lignocellulosics bằng các xử lý tiền xử lý hơi-nước",{"VI":243},{"VOID":334},"10.1098\u002Frsta.1987.0029","Author affiliation is blank",[85],[87],"https:\u002F\u002Froyalsocietypublishing.org\u002Fdoi\u002F10.1098\u002Frsta.1987.0029",[340,359,376],{"id":341,"sortIndex":21,"researcher":20,"roles":342,"affiliations":343,"properties":352,"displayName":356,"givenName":20,"familyName":20},"5c49d756-8d92-44b9-b773-9d6aebb35a60",[],[344],{"id":345,"sortIndex":21,"affiliation":346,"properties":20},"8c991e18-6d1b-466a-aa93-f39c192fe911",{"id":345,"createTime":20,"updateTime":20,"relativeEntities":347,"slug":20,"properties":348,"entityType":20,"verifyStatus":20,"verifyTime":20,"verifyNote":20,"languages":20,"translateLanguages":20,"viewCount":20,"url":20,"parentIds":351,"statistic":20},[],{"title":349},{"EN":350},"Division of Biological Sciences, Rideau Falls Laboratory, National Research Council of Canada, Ottawa, Canada K1A 0R6 and Departément de Génie Chimique, Faculté des Sciences Appliquées, Université de Sherbrooke, Sherbrooke, Québec, Canada J1K 2R1",[],{"orcid":353,"title":355,"openalex":357},{"VOID":354},"https:\u002F\u002Forcid.org\u002F0000-0002-5442-0890",{"EN":356},"Ralph P. Overend",{"VOID":358},"A5033637310",{"id":360,"sortIndex":31,"researcher":20,"roles":361,"affiliations":362,"properties":371,"displayName":373,"givenName":20,"familyName":20},"2fbb80b6-9015-491c-9b0c-d07eae38f07e",[],[363],{"id":364,"sortIndex":21,"affiliation":365,"properties":20},"3fd38f2e-9fd8-453b-a4ec-fa5b212b7b06",{"id":364,"createTime":20,"updateTime":20,"relativeEntities":366,"slug":20,"properties":367,"entityType":20,"verifyStatus":20,"verifyTime":20,"verifyNote":20,"languages":20,"translateLanguages":20,"viewCount":20,"url":20,"parentIds":370,"statistic":20},[],{"title":368},{"VI":369},"Département de génie chimique, Faculté des sciences appliquées, Université de Sherbrooke, Sherbrooke, Québec, Canada, J1K 2R1",[],{"title":372,"openalex":374},{"EN":373},"E. Chornet",{"VOID":375},"A5087499608",{"id":377,"sortIndex":30,"researcher":20,"roles":378,"affiliations":379,"properties":380,"displayName":382,"givenName":20,"familyName":20},"388979b0-0450-41a7-8be0-180ba5460adc",[],[],{"title":381,"openalex":383},{"EN":382},"J. A. Gascoigne",{"VOID":384},"A5087210218",{"url":20,"publisher":386,"properties":400},{"id":6,"createTime":7,"updateTime":8,"relativeEntities":387,"slug":10,"properties":388,"entityType":18,"verifyStatus":19,"verifyTime":20,"verifyNote":20,"languages":20,"translateLanguages":20,"viewCount":21,"subjectFields":392,"manageAffiliations":393,"indexDatabases":394,"url":20,"thumbnailPath":20,"statistic":395,"gsStatistic":20,"type":20,"analyzePriority":20},[],{"issn":389,"title":390,"eissn":391},{"VOID":13},{"EN":15},{"VOID":17},[],[],[],{"impactFactor":21,"impactFactorByYear":396,"i10Index":27,"i10IndexLast5Year":21,"totalPublication":28,"totalPublicationByYear":397,"totalCitation":33,"totalCitationByYear":398,"totalCitationPerPublication":52,"totalCitationPerPublicationByYear":399,"hindexLast5Year":27,"hindex":27},{},{"1948":30,"1951":31,"1955":31,"1956":31,"1959":31,"1960":31,"1961":31,"1963":31,"1965":31,"1977":31,"1979":30,"1980":30,"1981":32,"1982":30,"1983":31,"1984":31,"1990":31},{"1948":35,"1951":36,"1955":37,"1956":38,"1959":39,"1960":40,"1961":41,"1963":42,"1965":43,"1977":44,"1979":45,"1980":46,"1981":47,"1982":48,"1983":49,"1984":50,"1990":51},{"1948":54,"1951":36,"1955":37,"1956":38,"1959":39,"1960":40,"1961":41,"1963":42,"1965":43,"1977":44,"1979":55,"1980":56,"1981":57,"1982":58,"1983":49,"1984":50,"1990":51},{"issue":401,"pages":403,"volume":405},{"VOID":402},"1561",{"VOID":404},"523-536",{"VOID":406},"321",1200,{"total":407,"publishYear":409,"statisticByYear":410},1987,{"2012":411,"2013":412,"2014":413,"2015":414,"2016":415,"2017":416,"2018":417,"2019":418,"2020":418,"2021":419,"2022":420,"2023":421,"2024":422},63,70,55,83,77,67,64,84,88,73,45,31,"1987-04-30",[],[426,429,432,435,438,441,444,447,450,453,456,459,462,465,468,471,474,477,480,483,486,489,492,495,498,501,504,507,510,513,516,519,523,527,530,533,536,540,544],{"id":20,"text":427,"url":20,"identifiers":428},"Babcock L. W. 1932 Method ofproducingfermentable sugars and alcoholfrom wood. U.S. Patent no. 1825464 (26 April 1932).",{},{"id":20,"text":430,"url":20,"identifiers":431},"Back E. L. & Salmen N. L. 1982 Glass transitions of wood components and implications for molding and pulping processes. TAPP165 (7) 187-110.",{},{"id":20,"text":433,"url":20,"identifiers":434},"Barnet D. 1984 Autohydrolyse rapide du bois function de la duree du traitment. These 3eme cycle Universite de Grenoble. de peupHer(Populus ): evolution de la composition des echantillions en",{},{"id":20,"text":436,"url":20,"identifiers":437},"Brasch D. J., 1965, Prehydrolysis-Kraft pulping of pinus radiata grown in New Zealand, TAPPI, 48, 245",{},{"id":20,"text":439,"url":20,"identifiers":440},"Brown D. B. 1980 Apparatus for discharge of pressure cooked particulate orfibrous material. U.S. Patent no. 4 211163 (8 July 1980).",{},{"id":20,"text":442,"url":20,"identifiers":443},"Brown D. B. & Bender R. 1980 Feeding natural cellulosefibre into steampressure vesselfor manufacture offodderfrom waste wood c h i p s s t r a w bagasse etc. Canadian Patent no. 1070537 (29 January 1980).",{},{"id":20,"text":445,"url":20,"identifiers":446},"10.1139\u002Fv79-421",{"doi":445},{"id":20,"text":448,"url":20,"identifiers":449},"Chum H. L. Johnson D. K. Ratcliff M. Black S. Schroeder H. A. & Wallace K. 1985 Comparison between lignins produced by steam explosion and organosolve pretreatments. International Symposium on Wood and Pulping Chemistry: Technical P a p e r s Vancouver Canada pp. 223-225. Stockholm: SPCI.",{},{"id":20,"text":451,"url":20,"identifiers":452},"Colcord A. R. & Bery M. K. 1984 Production of ethanol and chemicals from wood by the Georgia Tech Process. In Liquidfuel developments (ed. D. L. Wise) pp. 130-137. Boca Raton: CRC Press.",{},{"id":20,"text":454,"url":20,"identifiers":455},"Conner A. H., 1984, Kinetic modelling of hardwood prehydrolysis. 1. Xylan removal by water prehydrolysis, Fibre Sci., 16, 268",{},{"id":20,"text":457,"url":20,"identifiers":458},"Cowling E. G., 1976, Properties of cellulose and lignocellulosic materials as substrates for enzymatic conversion processes, Biotech. Bioengng Symp., 6, 95",{},{"id":20,"text":460,"url":20,"identifiers":461},"Datta R., 1981, Energy requirements for lignocellulosic pretreatment processes, Process Biochem., 16, 15",{},{"id":20,"text":463,"url":20,"identifiers":464},"DeLong E. A. 1981 Method of rendering lignin separablefrom cellulose and hemicellulose in lignocellulosic material and the product soproduced. Canadian Patent no. 1096374 (24 February 1981).",{},{"id":20,"text":466,"url":20,"identifiers":467},"DeLong E. A. 1983 Method of rendering lignin separablefrom cellulose and hemicellulose in lignocellulosic material and the product so produced. Canadian Patent no. 1141376 (15 February 1983).",{},{"id":20,"text":469,"url":20,"identifiers":470},"Ekman K. Eklund V. Fors J. Huttunen J. I. Selin J.-F. & Turunen O. T. 1983 Fibres by wet-spinning of cellulose carbamate solutions. In Proceedings of the 1983 International Dissolving and Speciality Pulps Conference pp. 99-104. New York: TAPPI Press.",{},{"id":20,"text":472,"url":20,"identifiers":473},"10.1007\u002FBF02610854",{"doi":472},{"id":20,"text":475,"url":20,"identifiers":476},"Foody P. 1984 Methodfor obtaining superior yields of accessible cellulose and hemicellulose from lignocellulosic materials. Canadian Patent no. 1163058 (6 March 1984).",{},{"id":20,"text":478,"url":20,"identifiers":479},"FORINTEK\n\n   1985 Pretreatment methods for enhancing conversion of lignocellulosic material to liquidfuel. Contract no. 548823216-3-6364.",{},{"id":20,"text":481,"url":20,"identifiers":482},"Frazier W. C. 1977 On the presteaming of chips for thermomechanical pulping. In Preprints. 63rd Annual Meeting CPPA: Technical Section A91-99.",{},{"id":20,"text":484,"url":20,"identifiers":485},"Galloway D., 1975, Growing role of wood products in the livestock feeding field, Pulp Pap., 49, 104",{},{"id":20,"text":487,"url":20,"identifiers":488},"10.1021\u002Fjf00119a001",{"doi":487},{"id":20,"text":490,"url":20,"identifiers":491},"Coring D. A. I., 1963, Thermal softening of lignin, hemicellulose and cellulose, Pap. Can., 64, T517",{},{"id":20,"text":493,"url":20,"identifiers":494},"Heitz M., 1986, Generalized correlations for the aqueous liquefaction of lignocellulosics. Can. J. chem, Engng., 64, 647",{},{"id":20,"text":496,"url":20,"identifiers":497},"Holman J. P. 1981 Heat transfer. New York: McGraw-Hill.",{},{"id":20,"text":499,"url":20,"identifiers":500},"Kauman W. G., 1956, Equilibrium moisture content relations and drying control in superheated steam drying, Forest Prog. J., 6, 328",{},{"id":20,"text":502,"url":20,"identifiers":503},"Koeberle P. Meloche F. Chauvette G. Menard H. Chornet E. Jaulin L. Heitz M. & Overend R. P. 1985 Pretraitement du materiel lignocellulosique par voie thermo-mechano-chimique en phase aqueuse. In Canadian Bioenergy R &DSeminar (ed. 8. Hasnain). London: Elsevier Applied Science Publishers.",{},{"id":20,"text":505,"url":20,"identifiers":506},"Koran Z., 1967, Electron microscopy ofradial tracheid surfaces ofblack spruce separated by tensile failure at various temperatures, TAPPI, 50, 60",{},{"id":20,"text":508,"url":20,"identifiers":509},"Koran Z., 1978, Fibre characteristics of Masonite pulp, Pulp Pap. Can., 79, T107",{},{"id":20,"text":511,"url":20,"identifiers":512},"Lachenal D. & Monzie P. 1985 The French exploded wood project. In International Symposium on Wood andPulping Chemistry: Technical Papers Vancouver Canada pp. 7-8. Stockholm: SPCI.",{},{"id":20,"text":514,"url":20,"identifiers":515},"Mamers H. & Rowney J. E. 1979 Method and apparatus for explosively defibrating U.S. Patent no. 4163687 (7 August 1979).",{},{"id":20,"text":517,"url":20,"identifiers":518},"Mamers H. Yuritta J. P. & Menz D. J. 1981 The siropulper - an explosive alternative for non-wood pulping. In TAPPI Pulping Conference Atlanta Georgia pp. 261-268.",{},{"id":20,"text":520,"url":20,"identifiers":521},"Marchessault R. H. & St Pierre J. M. 1980 A new understanding of the carbohydrate system. In Future sources of organic raw m a t e r i a l s :CHEM RAW N1 (ed. L. E. St Pierre & G. R. Brown) pp. 613-625. Oxford: Pergamon Press.",{"doi":522},"10.1016\u002FB978-0-08-022390-2.50053-9",{"id":20,"text":524,"url":20,"identifiers":525},"Marchessault R. H. Malhotra S. L. Jones A. Y. & Perovic A. 1983 The wood explosion process: characterization and uses of lignin\u002Fcellulose products. In York: Academic Press.",{"doi":526},"10.1016\u002FB978-0-12-654560-9.50026-3",{"id":20,"text":528,"url":20,"identifiers":529},"Woodand agricultural residues (ed. J. Soltes) pp. 401-413. New",{},{"id":20,"text":531,"url":20,"identifiers":532},"Mason W. H. 1928 Apparatusfor and process of explosionfibration of lignocellulosic material. U.S. Patent no. 1655618 (10 January 1929).",{},{"id":20,"text":534,"url":20,"identifiers":535},"Monzie P., 1984, La technique d'hydrolyse flash; performances et perspectives, Bull.Liais. (GroupePolyphenols), 12, 233",{},{"id":20,"text":537,"url":20,"identifiers":538},"Muzzy J. D. Roberts R. S. Fieber C. A. Faass G. S. & Mann T. M. 1983 Pretreatment of hardwood by continuous steam hydrolysis. In Press.",{"doi":539},"10.1016\u002FB978-0-12-654560-9.50023-8",{"id":20,"text":541,"url":20,"identifiers":542},"Nicholls G. A. 1970 An interpretive view of refiner pulping.",{"doi":543},"10.1007\u002FBF00386405",{"id":20,"text":545,"url":20,"identifiers":546},"Woodand agricultural residues (ed. J. Soltes) pp. 351-368. New York: Academic",{},{"id":548,"createTime":549,"updateTime":550,"relativeEntities":551,"slug":552,"properties":553,"entityType":81,"verifyStatus":82,"verifyTime":549,"verifyNote":83,"languages":567,"translateLanguages":568,"viewCount":21,"primaryUrl":569,"fullTextUrl":20,"authors":570,"publicationType":107,"publisherRelationship":620,"citationCount":642,"citationInfo":643,"publishDate":652,"publishYear":644,"citationAnalyzeStatus":19,"lastCitationAnalyze":20,"indexDatabases":653,"openAccess":20,"references":654,"isForceReanalyzing":224},"6bcb4e25-349c-4c79-91b7-ed5fffb7b0e3","2024-11-28T03:53:48.226+00:00","2025-02-26T19:47:33.829+00:00",[],"The-fit-of-the-continents-around-the-Atlantic",{"openalex":554,"mag":556,"abstract":558,"title":561,"keywords":564,"doi":565},{"VOID":555},"W1964408423",{"VOID":557},"1964408423",{"EN":559,"VI":560},"\u003Cjats:p>The geometrical fit of the continents now separated by oceans has long been discussed in relation to continental drift. This paper describes fits made by numerical methods, with a ‘least squares’ criterion of fit, for the continents around the Atlantic ocean. The best fit is found to be at the 500 fm. contour which lies on the steep part of the continental edge. The root-mean-square errors for fitting Africa to South America, Greenland to Europe and North America to Greenland and Europe are 30 to 90 km. These fits are thought not to be due to chance, though no reliable statistical criteria are available. The fit of the block assembled from South America and Africa to that formed from Europe, North America and Greenland is much poorer. The root-mean-square misfit is about 130 km. These geometrical fits are regarded as a preliminary to a comparison of the stratigraphy, structures, ages and palaeomagnetic results across the joins.\u003C\u002Fjats:p>","\u003Cjats:p>Sự khớp nối hình học của các châu lục hiện đang bị tách biệt bởi các đại dương đã được bàn luận từ lâu liên quan đến sự trôi dạt của các châu lục. Bài báo này mô tả các sự khớp nối được thực hiện bằng các phương pháp số, với tiêu chí ‘bình phương tối thiểu’ cho sự khớp nối của các châu lục xung quanh Đại Tây Dương. Sự khớp nối tốt nhất được tìm thấy tại đường viền 500 fm, nằm trên phần dốc của rìa châu lục. Các sai số căn bậc hai trung bình cho việc khớp nối châu Phi với Nam Mỹ, Greenland với châu Âu, và Bắc Mỹ với Greenland và châu Âu là từ 30 đến 90 km. Những sự khớp nối này được cho là không phải là do ngẫu nhiên, mặc dù không có tiêu chí thống kê đáng tin cậy nào khả dụng. Sự khớp nối của khối được hình thành từ Nam Mỹ và châu Phi với khối được hình thành từ châu Âu, Bắc Mỹ và Greenland kém hơn nhiều. Sai lệch căn bậc hai trung bình khoảng 130 km. Những sự khớp nối hình học này được coi là bước đầu tiên để so sánh về thạch học, cấu trúc, tuổi và kết quả địa từ học qua các mối nối.\u003C\u002Fjats:p>",{"EN":562,"VI":563},"The fit of the continents around the Atlantic","Sự khớp nối của các châu lục xung quanh Đại Tây Dương",{"VI":243},{"VOID":566},"10.1098\u002Frsta.1965.0020",[85],[87],"https:\u002F\u002Froyalsocietypublishing.org\u002Fdoi\u002F10.1098\u002Frsta.1965.0020",[571,588,603],{"id":572,"sortIndex":21,"researcher":20,"roles":573,"affiliations":574,"properties":583,"displayName":585,"givenName":20,"familyName":20},"9a96ea06-be24-4ca5-b5da-b3e66e37eae3",[],[575],{"id":576,"sortIndex":21,"affiliation":577,"properties":20},"f27c6efa-07b2-4404-ae1d-1fc712c85999",{"id":576,"createTime":20,"updateTime":20,"relativeEntities":578,"slug":20,"properties":579,"entityType":20,"verifyStatus":20,"verifyTime":20,"verifyNote":20,"languages":20,"translateLanguages":20,"viewCount":20,"url":20,"parentIds":582,"statistic":20},[],{"title":580},{"VI":581},"Department of Geodesy and Geophysics, Cambridge",[],{"title":584,"openalex":586},{"EN":585},"E. C. Bullard",{"VOID":587},"A5027256002",{"id":589,"sortIndex":31,"researcher":20,"roles":590,"affiliations":591,"properties":598,"displayName":600,"givenName":20,"familyName":20},"1a5e05a9-cbc1-4b92-bd49-ea61432cdee9",[],[592],{"id":576,"sortIndex":21,"affiliation":593,"properties":20},{"id":576,"createTime":20,"updateTime":20,"relativeEntities":594,"slug":20,"properties":595,"entityType":20,"verifyStatus":20,"verifyTime":20,"verifyNote":20,"languages":20,"translateLanguages":20,"viewCount":20,"url":20,"parentIds":597,"statistic":20},[],{"title":596},{"VI":581},[],{"title":599,"openalex":601},{"EN":600},"James E. Everett",{"VOID":602},"A5109095124",{"id":604,"sortIndex":30,"researcher":20,"roles":605,"affiliations":606,"properties":613,"displayName":617,"givenName":20,"familyName":20},"e1cb8a1a-4d37-48d5-bde5-bd2701561530",[],[607],{"id":576,"sortIndex":21,"affiliation":608,"properties":20},{"id":576,"createTime":20,"updateTime":20,"relativeEntities":609,"slug":20,"properties":610,"entityType":20,"verifyStatus":20,"verifyTime":20,"verifyNote":20,"languages":20,"translateLanguages":20,"viewCount":20,"url":20,"parentIds":612,"statistic":20},[],{"title":611},{"VI":581},[],{"orcid":614,"title":616,"openalex":618},{"VOID":615},"https:\u002F\u002Forcid.org\u002F0000-0003-4969-5467",{"EN":617},"Alan G. Smith",{"VOID":619},"A5074871969",{"url":20,"publisher":621,"properties":635},{"id":6,"createTime":7,"updateTime":8,"relativeEntities":622,"slug":10,"properties":623,"entityType":18,"verifyStatus":19,"verifyTime":20,"verifyNote":20,"languages":20,"translateLanguages":20,"viewCount":21,"subjectFields":627,"manageAffiliations":628,"indexDatabases":629,"url":20,"thumbnailPath":20,"statistic":630,"gsStatistic":20,"type":20,"analyzePriority":20},[],{"issn":624,"title":625,"eissn":626},{"VOID":13},{"EN":15},{"VOID":17},[],[],[],{"impactFactor":21,"impactFactorByYear":631,"i10Index":27,"i10IndexLast5Year":21,"totalPublication":28,"totalPublicationByYear":632,"totalCitation":33,"totalCitationByYear":633,"totalCitationPerPublication":52,"totalCitationPerPublicationByYear":634,"hindexLast5Year":27,"hindex":27},{},{"1948":30,"1951":31,"1955":31,"1956":31,"1959":31,"1960":31,"1961":31,"1963":31,"1965":31,"1977":31,"1979":30,"1980":30,"1981":32,"1982":30,"1983":31,"1984":31,"1990":31},{"1948":35,"1951":36,"1955":37,"1956":38,"1959":39,"1960":40,"1961":41,"1963":42,"1965":43,"1977":44,"1979":45,"1980":46,"1981":47,"1982":48,"1983":49,"1984":50,"1990":51},{"1948":54,"1951":36,"1955":37,"1956":38,"1959":39,"1960":40,"1961":41,"1963":42,"1965":43,"1977":44,"1979":55,"1980":56,"1981":57,"1982":58,"1983":49,"1984":50,"1990":51},{"issue":636,"pages":638,"volume":640},{"VOID":637},"1088",{"VOID":639},"41-51",{"VOID":641},"258",1217,{"total":642,"publishYear":644,"statisticByYear":645},1965,{"2012":646,"2013":303,"2014":305,"2015":647,"2016":648,"2017":310,"2018":649,"2019":303,"2020":650,"2021":302,"2022":304,"2023":308,"2024":651},28,26,18,33,35,9,"1965-10-28",[],[],{"id":656,"createTime":657,"updateTime":658,"relativeEntities":659,"slug":660,"properties":661,"entityType":81,"verifyStatus":19,"verifyTime":657,"verifyNote":335,"languages":675,"translateLanguages":676,"viewCount":21,"primaryUrl":677,"fullTextUrl":20,"authors":678,"publicationType":107,"publisherRelationship":699,"citationCount":721,"citationInfo":722,"publishDate":727,"publishYear":723,"citationAnalyzeStatus":19,"lastCitationAnalyze":20,"indexDatabases":728,"openAccess":20,"references":729,"isForceReanalyzing":224},"2735b8c8-befe-4e45-93db-f55f2f64a4ae","2024-09-24T19:11:50.923+00:00","2025-02-26T19:46:36.406+00:00",[],"The-calculation-of-the-absolute-strengths-of-spectral-lines",{"openalex":662,"mag":664,"abstract":666,"title":669,"keywords":672,"doi":673},{"VOID":663},"W2165060112",{"VOID":665},"2165060112",{"EN":667,"VI":668},"\u003Cjats:p>\n            It is shown that in calculating transition integrals it is permissible to neglect the departure of the potential of an atom or ion from its asymptotic Coulomb form. This enables a general analytical expression for the transition integral to be derived. Tables are compiled from which the absolute strengths of large numbers of spectral lines can at once be obtained if the term values of the upper and lower levels are known.\n            \u003Cjats:italic>s-p\u003C\u002Fjats:italic>\n            ,\n            \u003Cjats:italic>p-d\u003C\u002Fjats:italic>\n            and\n            \u003Cjats:italic>d-f\u003C\u002Fjats:italic>\n            transitions are all treated. Comparison with experimental data shows that for the simpler systems (i. e. systems with a single electron outside closed shells) the method gives remarkably accurate results; indeed, it appears superior to the normal rather laborious procedure involving the computation of the necessary wave functions, in each individual case, by solution of the appropriate Hartree or Fock differential equation. The method (in its most elementary form) may not be so satisfactory for complex systems (i. e. systems with unclosed shells) owing to difficulties associated with the identification of certain energy parameters. However, the rather scanty comparison data available suggest that even for such systems it yields useful (and in some cases precise) information on the line strengths. Incidentally, in the course of the work the accuracy of a few wave functions based on the self consistent field approximation (including exchange) was tested by using them to evaluate line strengths from both the dipole moment and the dipole velocity formulae. Appreciable defects were revealed.\n          \u003C\u002Fjats:p>","\u003Cjats:p>\n            Nghiên cứu chỉ ra rằng trong việc tính toán các tích chuyển, có thể cho phép bỏ qua sự lệch của thế năng của một nguyên tử hoặc ion so với dạng Coulomb tiệm cận của nó. Điều này cho phép rút ra một biểu thức phân tích tổng quát cho tích chuyển. Các bảng được biên soạn từ đó có thể ngay lập tức cung cấp độ mạnh tuyệt đối của một số lượng lớn các đường phổ nếu giá trị của các mức trên và dưới được biết.\n            \u003Cjats:italic>s-p\u003C\u002Fjats:italic>\n            ,\n            \u003Cjats:italic>p-d\u003C\u002Fjats:italic>\n            và\n            \u003Cjats:italic>d-f\u003C\u002Fjats:italic>\n            đều được xử lý. Việc so sánh với dữ liệu thực nghiệm cho thấy rằng đối với các hệ thống đơn giản hơn (tức là các hệ thống có một electron ngoài các vỏ đã đóng) phương pháp này cho kết quả rất chính xác; thực tế, nó dường như vượt trội hơn so với quy trình bình thường khá tốn công liên quan đến việc tính toán các hàm sóng cần thiết, trong từng trường hợp riêng lẻ, bằng cách giải hệ phương trình vi phân Hartree hoặc Fock thích hợp. Phương pháp (ở dạng đơn giản nhất) có thể không thỏa mãn đối với các hệ thống phức tạp (tức là các hệ thống có các vỏ chưa đóng) do những khó khăn liên quan đến việc xác định một số tham số năng lượng cụ thể. Tuy nhiên, dữ liệu so sánh khá hạn chế hiện có cho thấy rằng ngay cả đối với những hệ thống như vậy, nó vẫn cung cấp thông tin hữu ích (và trong một số trường hợp là chính xác) về độ mạnh của các đường. Nhân tiện, trong quá trình làm việc, độ chính xác của một vài hàm sóng dựa trên xấp xỉ trường tự nhất quán (bao gồm cả trao đổi) đã được kiểm tra bằng cách sử dụng chúng để đánh giá độ mạnh của các đường từ cả công thức mômen lưỡng cực và công thức vận tốc lưỡng cực. Những khiếm khuyết đáng kể đã được phát hiện.\n          \u003C\u002Fjats:p>",{"EN":670,"VI":671},"The calculation of the absolute strengths of spectral lines","Tính toán độ mạnh tuyệt đối của các đường phổ",{"VI":243},{"VOID":674},"10.1098\u002Frsta.1949.0006",[85],[87],"https:\u002F\u002Froyalsocietypublishing.org\u002Fdoi\u002F10.1098\u002Frsta.1949.0006",[679,690],{"id":680,"sortIndex":21,"researcher":20,"roles":681,"affiliations":682,"properties":683,"displayName":687,"givenName":20,"familyName":20},"d5045225-f929-4d15-8bdd-ecf6f5392d62",[],[],{"orcid":684,"title":686,"openalex":688},{"VOID":685},"https:\u002F\u002Forcid.org\u002F0000-0003-3849-6374",{"EN":687},"D. R. Bates",{"VOID":689},"A5066764002",{"id":691,"sortIndex":31,"researcher":20,"roles":692,"affiliations":693,"properties":694,"displayName":696,"givenName":20,"familyName":20},"46e20682-9e95-46ba-a88f-13d555779777",[],[],{"title":695,"openalex":697},{"EN":696},"Agnete Damgaard",{"VOID":698},"A5006696472",{"url":20,"publisher":700,"properties":714},{"id":6,"createTime":7,"updateTime":8,"relativeEntities":701,"slug":10,"properties":702,"entityType":18,"verifyStatus":19,"verifyTime":20,"verifyNote":20,"languages":20,"translateLanguages":20,"viewCount":21,"subjectFields":706,"manageAffiliations":707,"indexDatabases":708,"url":20,"thumbnailPath":20,"statistic":709,"gsStatistic":20,"type":20,"analyzePriority":20},[],{"issn":703,"title":704,"eissn":705},{"VOID":13},{"EN":15},{"VOID":17},[],[],[],{"impactFactor":21,"impactFactorByYear":710,"i10Index":27,"i10IndexLast5Year":21,"totalPublication":28,"totalPublicationByYear":711,"totalCitation":33,"totalCitationByYear":712,"totalCitationPerPublication":52,"totalCitationPerPublicationByYear":713,"hindexLast5Year":27,"hindex":27},{},{"1948":30,"1951":31,"1955":31,"1956":31,"1959":31,"1960":31,"1961":31,"1963":31,"1965":31,"1977":31,"1979":30,"1980":30,"1981":32,"1982":30,"1983":31,"1984":31,"1990":31},{"1948":35,"1951":36,"1955":37,"1956":38,"1959":39,"1960":40,"1961":41,"1963":42,"1965":43,"1977":44,"1979":45,"1980":46,"1981":47,"1982":48,"1983":49,"1984":50,"1990":51},{"1948":54,"1951":36,"1955":37,"1956":38,"1959":39,"1960":40,"1961":41,"1963":42,"1965":43,"1977":44,"1979":55,"1980":56,"1981":57,"1982":58,"1983":49,"1984":50,"1990":51},{"issue":715,"pages":717,"volume":719},{"VOID":716},"842",{"VOID":718},"101-122",{"VOID":720},"242",1234,{"total":721,"publishYear":723,"statisticByYear":724},1949,{"2012":308,"2013":725,"2014":726,"2015":309,"2016":311,"2017":651,"2018":651,"2019":311,"2020":38,"2021":651,"2022":726,"2023":651,"2024":32},19,11,"1949-07-05",[],[730,733,736,739,743,746,749,752,756,759,762,765,769,772,776,779,782,786,789,792,795],{"id":20,"text":731,"url":20,"identifiers":732},"6-7 Hargreaves (1928)",{},{"id":20,"text":734,"url":20,"identifiers":735},"5-5 )",{},{"id":20,"text":737,"url":20,"identifiers":738},"1-5 J \\ Bates & Damgaard (1948)",{},{"id":20,"text":740,"url":20,"identifiers":741},"Bates & Damgaard (1948) 6-1 1 11 J \\",{"doi":742},"10.1021\u002Fcr60131a001",{"id":20,"text":744,"url":20,"identifiers":745},"Hartree & Hartree (1938)",{},{"id":20,"text":747,"url":20,"identifiers":748},"4-8 )",{},{"id":20,"text":750,"url":20,"identifiers":751},"1 1",{},{"id":20,"text":753,"url":20,"identifiers":754},"31 1-3 ' Misra (1948) 0-21 8-1 3-3 J",{"doi":755},"10.1017\u002FS0022050700090227",{"id":20,"text":757,"url":20,"identifiers":758},"f See  text for choice of energy parameters in this particular table.",{},{"id":20,"text":760,"url":20,"identifiers":761},"Auslander J., 1938, Helv. Phys. Acta, 11, 562",{},{"id":20,"text":763,"url":20,"identifiers":764},"Bacher R. F. & Goudsmit S. 1932 Atomic energy states. New York and London: McGraw Hill Book Go.",{},{"id":20,"text":766,"url":20,"identifiers":767},"Bates D. R. & Damgaard A. 1948 Astrophys. J. 107 383.",{"doi":768},"10.1086\u002F145021",{"id":20,"text":770,"url":20,"identifiers":771},"Biermann L. 1946 Nachr. Akad. Wiss.",{},{"id":20,"text":773,"url":20,"identifiers":774},"Chandrasekhar S. 1945 Astrophys. J. 102 223.",{"doi":775},"10.1086\u002F144755",{"id":20,"text":777,"url":20,"identifiers":778},"Coenen P. A., 1936, Physica, 3, 340. Gottingen, M Kl., 116",{},{"id":20,"text":780,"url":20,"identifiers":781},"Condon E. U. & Shortley G. H. 1935 Theory of atomic spectra. Cambridge University Press.",{},{"id":20,"text":783,"url":20,"identifiers":784},"Eddington A. S. 1927 Nature 120 117.",{"doi":785},"10.1038\u002F120117a0",{"id":20,"text":787,"url":20,"identifiers":788},"10.1007\u002FBF01403569",{"doi":787},{"id":20,"text":790,"url":20,"identifiers":791},"Filippov A., 1934, Phys, Z. Sowjet., 5, 1",{},{"id":20,"text":793,"url":20,"identifiers":794},"10.1007\u002FBF01338857",{"doi":793},{"id":20,"text":796,"url":20,"identifiers":797},"10.1007\u002FBF01331005",{"doi":796},{"id":799,"createTime":800,"updateTime":801,"relativeEntities":802,"slug":803,"properties":804,"entityType":81,"verifyStatus":82,"verifyTime":800,"verifyNote":83,"languages":818,"translateLanguages":819,"viewCount":21,"primaryUrl":820,"fullTextUrl":20,"authors":821,"publicationType":107,"publisherRelationship":854,"citationCount":876,"citationInfo":877,"publishDate":890,"publishYear":300,"citationAnalyzeStatus":19,"lastCitationAnalyze":20,"indexDatabases":891,"openAccess":20,"references":892,"isForceReanalyzing":224},"46ef9b6b-c79a-4c9f-a3dd-d4fccb7ca4b9","2024-09-22T11:25:54.328+00:00","2025-02-26T19:45:32.561+00:00",[],"Critical-lines-and-phase-equilibria-in-binary-van-der-Waals-mixtures",{"openalex":805,"mag":807,"abstract":809,"title":812,"keywords":815,"doi":816},{"VOID":806},"W2089372622",{"VOID":808},"2089372622",{"EN":810,"VI":811},"\u003Cjats:p>The study of phase equilibria is historically one of the most important sources of information about the nature of intermolecular forces in non-electrolyte liquids and their mixtures. Many of the main features of vapour-liquid and liquid-liquid phase behaviour were already well characterized experimentally during the early part of this century, but the theoretical explanation of phase equilibria for a wide variety of substances and over a large range of pressures and temperatures has lagged far behind. This paper presents theoretical studies of phase equilibria in binary mixtures obeying the van der Waals equation, especially liquid-liquid equilibria that can occur at high pressures. The variety of fluid phase behaviour that occurs in binary mixtures can be qualitatively discussed in terms of the changes in thermodynamic properties near critical points. Upper critical solution temperatures (UCSTs) occur when a heterogeneous (two-phase) system becomes a homogeneous (one-phase) system when the temperature is raised. The maximum temperature along the temperature-mole fraction (\u003Cjats:italic>T, x\u003C\u002Fjats:italic>) coexistence curve for constant pressure is the UCST at this pressure. Lower critical solution temperatures (LCSTs) occur when a homogeneous system becomes a two-phase system when the temperature is increased. The LCST is at the minimum of the\u003Cjats:italic>T, x\u003C\u002Fjats:italic>coexistence curve. Thermodynamic considerations of critical points yield requirements for the curvature of the mixing functions plotted against\u003Cjats:italic>x\u003C\u002Fjats:italic>.\u003C\u002Fjats:p>","\u003Cjats:p>Nghiên cứu về trạng thái cân bằng pha từ lâu đã là một trong những nguồn thông tin quan trọng nhất về tính chất của lực giữa các phân tử trong các chất lỏng không điện ly và các hỗn hợp của chúng. Nhiều đặc điểm chính của hành vi pha hơi-lỏng và lỏng-lỏng đã được xác định tốt qua các thí nghiệm trong nửa đầu thế kỷ này, nhưng lý thuyết giải thích về trạng thái cân bằng pha cho nhiều loại chất khác nhau và trong một phạm vi lớn về áp suất và nhiệt độ vẫn còn chậm phát triển. Bài báo này trình bày các nghiên cứu lý thuyết về trạng thái cân bằng pha trong các hỗn hợp nhị phân tuân theo phương trình van der Waals, đặc biệt là trạng thái cân bằng lỏng-lỏng có thể xảy ra ở áp suất cao. Sự đa dạng trong hành vi pha của chất lỏng xảy ra trong các hỗn hợp nhị phân có thể được thảo luận một cách định tính dựa trên những thay đổi trong các tính chất nhiệt động học gần các điểm tới hạn. Nhiệt độ dung dịch tới hạn trên (UCST) xảy ra khi một hệ thống không đồng nhất (hai pha) trở thành một hệ thống đồng nhất (một pha) khi nhiệt độ được nâng lên. Nhiệt độ tối đa dọc theo đường cong đồng tồn tại nhiệt độ - phân tỷ lệ (\u003Cjats:italic>T, x\u003C\u002Fjats:italic>) trong điều kiện áp suất không đổi là UCST tại áp suất này. Nhiệt độ dung dịch tới hạn dưới (LCST) xảy ra khi một hệ thống đồng nhất trở thành một hệ thống hai pha khi nhiệt độ được nâng lên. LCST nằm ở điểm cực tiểu của đường cong đồng tồn tại \u003Cjats:italic>T, x\u003C\u002Fjats:italic>. Các xem xét nhiệt động học về các điểm tới hạn đưa ra các yêu cầu cho độ cong của các hàm trộn được vẽ theo \u003Cjats:italic>x\u003C\u002Fjats:italic>.\u003C\u002Fjats:p>",{"EN":813,"VI":814},"Critical lines and phase equilibria in binary van der Waals mixtures","Các đường tới hạn và trạng thái cân bằng pha trong hỗn hợp van der Waals nhị phân",{"VI":243},{"VOID":817},"10.1098\u002Frsta.1980.0266",[85],[87],"https:\u002F\u002Froyalsocietypublishing.org\u002Fdoi\u002F10.1098\u002Frsta.1980.0266",[822,839],{"id":823,"sortIndex":21,"researcher":20,"roles":824,"affiliations":825,"properties":834,"displayName":836,"givenName":20,"familyName":20},"2f3b3488-b868-4fee-9166-98f648ac2460",[],[826],{"id":827,"sortIndex":21,"affiliation":828,"properties":20},"0159f8a6-20f7-4a65-8736-cfa9eee57b1c",{"id":827,"createTime":20,"updateTime":20,"relativeEntities":829,"slug":20,"properties":830,"entityType":20,"verifyStatus":20,"verifyTime":20,"verifyNote":20,"languages":20,"translateLanguages":20,"viewCount":20,"url":20,"parentIds":833,"statistic":20},[],{"title":831},{"VI":832},"Department of Chemistry, University of California, Los Angeles, California 90024 U.S.A.",[],{"title":835,"openalex":837},{"EN":836},"Peter H. van Konynenburg",{"VOID":838},"A5000605573",{"id":840,"sortIndex":31,"researcher":20,"roles":841,"affiliations":842,"properties":849,"displayName":851,"givenName":20,"familyName":20},"59a8f1e0-6bda-472f-a9f9-c4f6946138ea",[],[843],{"id":827,"sortIndex":21,"affiliation":844,"properties":20},{"id":827,"createTime":20,"updateTime":20,"relativeEntities":845,"slug":20,"properties":846,"entityType":20,"verifyStatus":20,"verifyTime":20,"verifyNote":20,"languages":20,"translateLanguages":20,"viewCount":20,"url":20,"parentIds":848,"statistic":20},[],{"title":847},{"VI":832},[],{"title":850,"openalex":852},{"EN":851},"Robert L. Scott",{"VOID":853},"A5021169589",{"url":20,"publisher":855,"properties":869},{"id":6,"createTime":7,"updateTime":8,"relativeEntities":856,"slug":10,"properties":857,"entityType":18,"verifyStatus":19,"verifyTime":20,"verifyNote":20,"languages":20,"translateLanguages":20,"viewCount":21,"subjectFields":861,"manageAffiliations":862,"indexDatabases":863,"url":20,"thumbnailPath":20,"statistic":864,"gsStatistic":20,"type":20,"analyzePriority":20},[],{"issn":858,"title":859,"eissn":860},{"VOID":13},{"EN":15},{"VOID":17},[],[],[],{"impactFactor":21,"impactFactorByYear":865,"i10Index":27,"i10IndexLast5Year":21,"totalPublication":28,"totalPublicationByYear":866,"totalCitation":33,"totalCitationByYear":867,"totalCitationPerPublication":52,"totalCitationPerPublicationByYear":868,"hindexLast5Year":27,"hindex":27},{},{"1948":30,"1951":31,"1955":31,"1956":31,"1959":31,"1960":31,"1961":31,"1963":31,"1965":31,"1977":31,"1979":30,"1980":30,"1981":32,"1982":30,"1983":31,"1984":31,"1990":31},{"1948":35,"1951":36,"1955":37,"1956":38,"1959":39,"1960":40,"1961":41,"1963":42,"1965":43,"1977":44,"1979":45,"1980":46,"1981":47,"1982":48,"1983":49,"1984":50,"1990":51},{"1948":54,"1951":36,"1955":37,"1956":38,"1959":39,"1960":40,"1961":41,"1963":42,"1965":43,"1977":44,"1979":55,"1980":56,"1981":57,"1982":58,"1983":49,"1984":50,"1990":51},{"issue":870,"pages":872,"volume":874},{"VOID":871},"1442",{"VOID":873},"495-540",{"VOID":875},"298",1329,{"total":876,"publishYear":300,"statisticByYear":878},{"2012":879,"2013":879,"2014":880,"2015":881,"2016":882,"2017":883,"2018":884,"2019":885,"2020":886,"2021":887,"2022":888,"2023":889,"2024":650},46,41,39,38,51,52,40,48,59,42,50,"1980-12-18",[],[893,896,899,903,907,911,914,917,920,923,926,930,933,936,938,941,944,947,950,953,956,959,962,965,968,971,975,978,981,984,987,991,994,998,1002,1005,1009,1012,1015,1018,1022,1025,1028,1031,1034,1037,1040,1043,1046,1049,1052,1055,1058,1061],{"id":20,"text":894,"url":20,"identifiers":895},"1978, Discuss, Faraday Soc., 66, 116",{},{"id":20,"text":897,"url":20,"identifiers":898},"C reek J . L . K nobler C. M . & Scott R . L. 1 9 7 7 J. chem. Phys. 67 366.",{},{"id":20,"text":900,"url":20,"identifiers":901},"D aven p ort A . J . & R ow lin son J . S. 1 9 6 3 Trans. Faraday Soc. 59 78.",{"doi":902},"10.1039\u002Ftf9635900078",{"id":20,"text":904,"url":20,"identifiers":905},"D aven p ort A . J . R ow lin son J . S. & Saville G . 1 9 6 6 Trans. Faraday Soc. 62 322.",{"doi":906},"10.1039\u002Ftf9666200322",{"id":20,"text":908,"url":20,"identifiers":909},"D ick in son E . K nobler C. M . & Scott R . L. 1 9 7 3 J . chem. Soc. Faraday Trans. I 69 2179.",{"doi":910},"10.1039\u002Ff19736902179",{"id":20,"text":912,"url":20,"identifiers":913},"F reem an P. I. & R ow lin son J . S. i 9 6 0 Polymer 1 2 0 .",{},{"id":20,"text":915,"url":20,"identifiers":916},"F u rm an D . D attagu p ta S. & Griffiths R . B. 1 9 7 7 Phys. Rev. B 15 441.",{},{"id":20,"text":918,"url":20,"identifiers":919},"F u rm an D . & Griffiths R . B. 1 9 7 8 Phys. Rev. A 17 1139.",{},{"id":20,"text":921,"url":20,"identifiers":922},"G aw W . J . & Sw in ton F. L. 1 9 6 6 Nature Lond. 212 283.",{},{"id":20,"text":924,"url":20,"identifiers":925},"G aw W . J . & S w inton F. L. 1 9 6 8 Trans. Faraday Soc. 64 2023.",{},{"id":20,"text":927,"url":20,"identifiers":928},"Griffiths R . B. 1 9 7 4 J . chem. Phys. 60 195.",{"doi":929},"10.1063\u002F1.1680768",{"id":20,"text":931,"url":20,"identifiers":932},"G u ggen h eim E. A . 1 9 5 2 Mixtures. L ondon: Oxford U niversity Press.",{},{"id":20,"text":934,"url":20,"identifiers":935},"H icks C . P. & Y ou n g C. L.",{},{"id":20,"text":934,"url":20,"identifiers":937},{},{"id":20,"text":939,"url":20,"identifiers":940},"H icks C . P. & Y ou n g C. L. 1 9 7 1 Trans. Faraday Soc. 67 1598. 1 9 7 5 Chem. Rev. 75 119. 1 9 7 7 J. chem. Soc. Faraday Trans. II 73 597.",{},{"id":20,"text":942,"url":20,"identifiers":943},"H ild eb ran d J . H . & W ood S. E. 1 9 3 3 J . chem. Phys. 1 817.",{},{"id":20,"text":945,"url":20,"identifiers":946},"H u rle R . F . Jon es F. & Y ou n g C. L. 1 9 7 7 J . chem. Soc. Faraday Trans. II 73 613.",{},{"id":20,"text":948,"url":20,"identifiers":949},"K am erlin gh O nnes H . etal 1 9 0 0 Commun. Lab. Univ.Leiden nos 5 9 a 59 A 64.",{},{"id":20,"text":951,"url":20,"identifiers":952},"K am erlin gh O nnes H . etal 1 9 0 1 Commun. Lab. Univ. Leiden nos 65 75 suppl. no. 5.",{},{"id":20,"text":954,"url":20,"identifiers":955},"K am erlin gh O nnes H . etal 1 9 0 2 Commun. Lab. Univ.Leiden nos 79 81 suppl. no. 6 .",{},{"id":20,"text":957,"url":20,"identifiers":958},"K am erlin gh O nnes H . etal 1 9 0 3 Commun. Lab. Univ. Leiden suppl. no. 7.",{},{"id":20,"text":960,"url":20,"identifiers":961},"K am erlin gh O nnes H . etal 1 9 0 4 Comrrtun. Lab.",{},{"id":20,"text":963,"url":20,"identifiers":964},"K am erlin gh O nnes H . etal 1 9 0 6 Commun. Lab. Univ.Leiden suppl. no. 8 . Univ.Leiden nos 9 6 a-c suppl. no. 11.",{},{"id":20,"text":966,"url":20,"identifiers":967},"K am erlin gh O nnes H . etal 1 9 0 7 Commun. Lab. Univ. Leiden suppl. nos 14-16.",{},{"id":20,"text":969,"url":20,"identifiers":970},"M cG lash an M . L . Stead K . & W arr C. 1 9 7 3 T h ird International C onference on C hem ical T herm od yn am ics (Baden A u str ia ): preprints vol. II p. 228.",{},{"id":20,"text":972,"url":20,"identifiers":973},"M cG lash an M . L . Stead K . & W arr C. 1 9 7 7 J . chem. Soc. Faraday Trans. II 73 1889.",{"doi":974},"10.1039\u002FF29777301889",{"id":20,"text":976,"url":20,"identifiers":977},"M cK in n o n I. R . 1 9 6 7 P h .D . thesis U n iversity o f E xeter.",{},{"id":20,"text":979,"url":20,"identifiers":980},"M arsh K . N . M cG lashan M . L. & W arr C. 1 9 7 0 Trans. Faraday Soc. 6 6 2453.",{},{"id":20,"text":982,"url":20,"identifiers":983},"R ow lin son J . S. 1 9 5 9 Liquids and liquid mixtures. L ondon: Butterworths.",{},{"id":20,"text":985,"url":20,"identifiers":986},"R ow lin son J . S. 1 9 6 9 Liquids and liquid mixtures (2 nd edn). L ondon: Butterworths.",{},{"id":20,"text":988,"url":20,"identifiers":989},"R ow lin son J . S. 1 9 7 0 Discuss. Faraday Soc. 49 30.",{"doi":990},"10.1039\u002Fdf9704900030",{"id":20,"text":992,"url":20,"identifiers":993},"1961, Pure appl, Chem., 2, 329",{},{"id":20,"text":995,"url":20,"identifiers":996},"Scatchard G. 193 1 Chem. Rev. 8 321.",{"doi":997},"10.1021\u002Fcr60030a010",{"id":20,"text":999,"url":20,"identifiers":1000},"Schneider G. 1 9 6 6 Ber. BunsenGes. phys. Chem. 70 497.",{"doi":1001},"10.1002\u002Fbbpc.19660700502",{"id":20,"text":1003,"url":20,"identifiers":1004},"Schneider G. 1 9 7 0 Fortschr. chem. Forsch. 13 559.",{},{"id":20,"text":1006,"url":20,"identifiers":1007},"Scott R . L. 1 9 7 0 Discuss. Faraday Soc. 49 76.",{"doi":1008},"10.1039\u002Fdf9704900076",{"id":20,"text":1010,"url":20,"identifiers":1011},"Scott R ., 1971, Ber. BunsenGes. phys, Chem., 76, 296",{},{"id":20,"text":1013,"url":20,"identifiers":1014},"Scott R . L. 1 9 7 3 T h ird International C onference on C hem ical T herm odynam ics (Baden A u stria): preprints vol. II p. 220.",{},{"id":20,"text":1016,"url":20,"identifiers":1017},"S cott R . L. 1 9 7 7 J . chem. Soc. Faraday Trans. II 73 356.",{},{"id":20,"text":1019,"url":20,"identifiers":1020},"S cott R . L. & v a n K o n y n en b u rg P. H . 1 9 7 0 Discuss. Faraday Soc. 49 87.",{"doi":1021},"10.1039\u002Fdf9704900087",{"id":20,"text":1023,"url":20,"identifiers":1024},"va n K on yn en b u rg P. H . 1 9 6 8 D issertation U n IV ersity o f C alifornia Los A n geles.",{},{"id":20,"text":1026,"url":20,"identifiers":1027},"v a n L aar J . J . 1 9 0 4 -0 5 Proc. Sect. Sci. K. ned. Akad. Wet. 7 517 636 646.",{},{"id":20,"text":1029,"url":20,"identifiers":1030},"v a n L aar J . J . 1 9 0 5 Proc. Sect. Sci. K. ned. Akad. Wet. 8 33.",{},{"id":20,"text":1032,"url":20,"identifiers":1033},"v a n L aar J . J . 1 9 0 6 Proc. Sect. Sci. K. ned. Akad. Wet. 9 226.",{},{"id":20,"text":1035,"url":20,"identifiers":1036},"v a n L aar J . J . 1 9 1 0 Z. phys. Chem. 72 723.",{},{"id":20,"text":1038,"url":20,"identifiers":1039},"v a n der W aals J . D . 1 8 9 0 Z. phys. Chem. 5 133.",{},{"id":20,"text":1041,"url":20,"identifiers":1042},"v a n der W aals J . D . 1 8 9 9 Die Kontinuitat des gasformigen undflussigen Zustandes. I. S in gle com p on en t system s (2n d ed n ). L eip zig : B arth.",{},{"id":20,"text":1044,"url":20,"identifiers":1045},"v a n der W aals J . D . 1 9 0 0 Die Kontinuitat des gasformigen undfussigen Zustandes. II. B inary m ixtures. L eip zig . B arth.",{},{"id":20,"text":1047,"url":20,"identifiers":1048},"v a n der W aals J . D . 1 9 0 6 -0 7 Proc. Sect. Sci. K. ned. Akad. Wet. 9 621 727 826.",{},{"id":20,"text":1050,"url":20,"identifiers":1051},"v a n der W aals J . D . 1 9 0 7 -0 8 Proc. Sect. Sci. K. ned. Akad. Wet. 10 56 123 183.",{},{"id":20,"text":1053,"url":20,"identifiers":1054},"v a n der W aals J . D . 1 9 0 8 - 0 9 Proc. Sect. Sci. K. ned. Akad. Wet. 11 146 187 2 0 1 317 426 47 7 698 8 16 890.",{},{"id":20,"text":1056,"url":20,"identifiers":1057},"v a n der W aals J . D . 1 9 11 -1 2 Proc. Sect. Sci. K. ned. Akad. Wet. 14 504 655 875 1049 1217.",{},{"id":20,"text":1059,"url":20,"identifiers":1060},"v a n der W aals J . D . 1 9 1 2 -13 Proc. Sect. Sci. K. ned. Akad. Wet. 15 602.",{},{"id":20,"text":1062,"url":20,"identifiers":1063},"W id o m B. 1 9 7 3 J . phys. Chem. 77 2196.",{},{"id":1065,"createTime":1066,"updateTime":1067,"relativeEntities":1068,"slug":1069,"properties":1070,"entityType":81,"verifyStatus":82,"verifyTime":1066,"verifyNote":83,"languages":1084,"translateLanguages":1085,"viewCount":21,"primaryUrl":1086,"fullTextUrl":20,"authors":1087,"publicationType":107,"publisherRelationship":1105,"citationCount":1127,"citationInfo":1128,"publishDate":1137,"publishYear":1129,"citationAnalyzeStatus":19,"lastCitationAnalyze":20,"indexDatabases":1138,"openAccess":20,"references":1139,"isForceReanalyzing":224},"f7641c8f-8c33-439c-913f-42e337d966c3","2024-09-01T18:03:56.925+00:00","2025-02-26T19:44:34.875+00:00",[],"Large-elastic-deformations-of-isotropic-materials-IV-further-developments-of-the-general-theory",{"openalex":1071,"mag":1073,"abstract":1075,"title":1078,"keywords":1081,"doi":1082},{"VOID":1072},"W2048267518",{"VOID":1074},"2048267518",{"EN":1076,"VI":1077},"\u003Cjats:p>\n            The equations of motion, boundary conditions and stress-strain relations for a highly elastic material can be expressed in terms of the stored-energy function. This has been done in part I of this series (Rivlin 1948\n            \u003Cjats:italic>a\u003C\u002Fjats:italic>\n            ), for both the cases of compressible and incompressible materials, following the methods given by E. & F. Cosserat for compressible materials. The stored-energy function may be defined for a particular material in terms of the invariants of strain. The form in which the equations of motion, etc., are deduced, in the previous paper, does not permit the evaluation of the forces necessary to produce a specified deformation unless the actual expression for the stored-energy function in terms of the scalar invariants of the strain is introduced. In the present paper, the equations are transformed into forms more suitable for carrying out such an explicit evaluation. As examples, the surface forces necessary to produce simple shear in a cuboid of either compressible or incompressible material and those required to produce simple torsion in a right-circular cylinder of incompressible material are derived.\n          \u003C\u002Fjats:p>","\u003Cjats:p>\n            Các phương trình chuyển động, điều kiện biên và quan hệ ứng suất-biến dạng cho một vật liệu đàn hồi cao có thể được diễn đạt dưới dạng hàm năng lượng lưu trữ. Điều này đã được thực hiện trong phần I của loạt bài này (Rivlin 1948\n            \u003Cjats:italic>a\u003C\u002Fjats:italic>\n            ), cho cả hai trường hợp vật liệu có thể nén và không thể nén, theo các phương pháp được E. & F. Cosserat đưa ra cho vật liệu có thể nén. Hàm năng lượng lưu trữ có thể được định nghĩa cho một vật liệu cụ thể theo các bất biến của biến dạng. Hình thức mà các phương trình chuyển động, v.v., được suy ra trong bài báo trước không cho phép đánh giá các lực cần thiết để tạo ra một biến dạng xác định trừ khi biểu thức thực tế cho hàm năng lượng lưu trữ theo các bất biến vô hướng của biến dạng được đưa vào. Trong bài báo hiện tại, các phương trình được chuyển đổi thành các dạng phù hợp hơn để thực hiện việc đánh giá rõ ràng như vậy. Như các ví dụ, các lực bề mặt cần thiết để tạo ra đứt ngang đơn giản trong một khối hình hộp của cả vật liệu có thể nén hoặc không thể nén và những lực cần thiết để tạo ra mômen xoắn đơn giản trong một hình trụ tròn đứng của vật liệu không thể nén được suy ra.\n          \u003C\u002Fjats:p>",{"EN":1079,"VI":1080},"Large elastic deformations of isotropic materials IV. further developments of the general theory","Biến dạng đàn hồi lớn của vật liệu đồng nhất IV. Sự phát triển tiếp theo của lý thuyết tổng quát",{"VI":243},{"VOID":1083},"10.1098\u002Frsta.1948.0024",[85],[87],"https:\u002F\u002Froyalsocietypublishing.org\u002Fdoi\u002F10.1098\u002Frsta.1948.0024",[1088],{"id":1089,"sortIndex":21,"researcher":20,"roles":1090,"affiliations":1091,"properties":1100,"displayName":1102,"givenName":20,"familyName":20},"bfe20fbd-4178-4d43-bd13-a8455affe5db",[],[1092],{"id":1093,"sortIndex":21,"affiliation":1094,"properties":20},"b9be42b1-d650-47d4-bcc3-481af6b667df",{"id":1093,"createTime":20,"updateTime":20,"relativeEntities":1095,"slug":20,"properties":1096,"entityType":20,"verifyStatus":20,"verifyTime":20,"verifyNote":20,"languages":20,"translateLanguages":20,"viewCount":20,"url":20,"parentIds":1099,"statistic":20},[],{"title":1097},{"EN":1098},"British Rubber Producers’ Research Association, Welwyn Garden City",[],{"title":1101,"openalex":1103},{"EN":1102},"R. S. Rivlin",{"VOID":1104},"A5086604328",{"url":20,"publisher":1106,"properties":1120},{"id":6,"createTime":7,"updateTime":8,"relativeEntities":1107,"slug":10,"properties":1108,"entityType":18,"verifyStatus":19,"verifyTime":20,"verifyNote":20,"languages":20,"translateLanguages":20,"viewCount":21,"subjectFields":1112,"manageAffiliations":1113,"indexDatabases":1114,"url":20,"thumbnailPath":20,"statistic":1115,"gsStatistic":20,"type":20,"analyzePriority":20},[],{"issn":1109,"title":1110,"eissn":1111},{"VOID":13},{"EN":15},{"VOID":17},[],[],[],{"impactFactor":21,"impactFactorByYear":1116,"i10Index":27,"i10IndexLast5Year":21,"totalPublication":28,"totalPublicationByYear":1117,"totalCitation":33,"totalCitationByYear":1118,"totalCitationPerPublication":52,"totalCitationPerPublicationByYear":1119,"hindexLast5Year":27,"hindex":27},{},{"1948":30,"1951":31,"1955":31,"1956":31,"1959":31,"1960":31,"1961":31,"1963":31,"1965":31,"1977":31,"1979":30,"1980":30,"1981":32,"1982":30,"1983":31,"1984":31,"1990":31},{"1948":35,"1951":36,"1955":37,"1956":38,"1959":39,"1960":40,"1961":41,"1963":42,"1965":43,"1977":44,"1979":45,"1980":46,"1981":47,"1982":48,"1983":49,"1984":50,"1990":51},{"1948":54,"1951":36,"1955":37,"1956":38,"1959":39,"1960":40,"1961":41,"1963":42,"1965":43,"1977":44,"1979":55,"1980":56,"1981":57,"1982":58,"1983":49,"1984":50,"1990":51},{"issue":1121,"pages":1123,"volume":1125},{"VOID":1122},"835",{"VOID":1124},"379-397",{"VOID":1126},"241",1604,{"total":1127,"publishYear":1129,"statisticByYear":1130},1948,{"2012":650,"2013":879,"2014":411,"2015":1131,"2016":1132,"2017":416,"2018":417,"2019":48,"2020":1133,"2021":1134,"2022":1135,"2023":1136,"2024":414},58,62,106,93,99,113,"1948-10-05",[],[1140,1143,1146,1149,1152,1155,1158,1161],{"id":20,"text":1141,"url":20,"identifiers":1142},"Coker E. G. & Filon L. N. G. 1931 A treatise on",{},{"id":20,"text":1144,"url":20,"identifiers":1145},"Cauchy A. L. 1827 Exercises de Mathematiques 2 61-69.",{},{"id":20,"text":1147,"url":20,"identifiers":1148},"10.1063\u002F1.1712836",{"doi":1147},{"id":20,"text":1150,"url":20,"identifiers":1151},"1937, Amer, J. Math., 59, 235",{},{"id":20,"text":1153,"url":20,"identifiers":1154},"10.1098\u002Frsta.1948.0002",{"doi":1153},{"id":20,"text":1156,"url":20,"identifiers":1157},"Rivlin R. S., 1948, 6 Phil, Trans. A, 240, 491",{},{"id":20,"text":1159,"url":20,"identifiers":1160},"10.1098\u002Frsta.1948.0004",{"doi":1159},{"id":20,"text":1162,"url":20,"identifiers":1163},"10.1098\u002Frsta.1935.0007",{"doi":1162},{"id":1165,"createTime":1166,"updateTime":1167,"relativeEntities":1168,"slug":1169,"properties":1170,"entityType":81,"verifyStatus":82,"verifyTime":1166,"verifyNote":83,"languages":1184,"translateLanguages":1185,"viewCount":21,"primaryUrl":1186,"fullTextUrl":20,"authors":1187,"publicationType":107,"publisherRelationship":1222,"citationCount":1244,"citationInfo":1245,"publishDate":1256,"publishYear":1246,"citationAnalyzeStatus":19,"lastCitationAnalyze":20,"indexDatabases":1257,"openAccess":20,"references":1258,"isForceReanalyzing":224},"da43ec45-dfe4-4f34-9be3-0be5fcc7f9ef","2024-10-11T02:15:06.006+00:00","2025-02-26T19:43:37.253+00:00",[],"The-Yang-Mills-equations-over-Riemann-surfaces",{"openalex":1171,"mag":1173,"abstract":1175,"title":1178,"keywords":1181,"doi":1182},{"VOID":1172},"W2078393607",{"VOID":1174},"2078393607",{"EN":1176,"VI":1177},"\u003Cjats:p>The Yang-Mills functional over a Riemann surface is studied from the point of view of Morse theory. The main result is that this is a ‘perfect' functional provided due account is taken of its gauge symmetry. This enables topological conclusions to be drawn about the critical sets and leads eventually to information about the moduli space of algebraic bundles over the Riemann surface. This in turn depends on the interplay between the holomorphic and unitary structures, which is analysed in detail.\u003C\u002Fjats:p>","\u003Cjats:p>Chức năng Yang-Mills trên một bề mặt Riemann được nghiên cứu từ quan điểm của lý thuyết Morse. Kết quả chính là chức năng này là ‘hoàn hảo’ nếu xem xét đúng mức tính đối xứng gauge của nó. Điều này cho phép rút ra các kết luận topo về các tập phê duyệt và dẫn đến thông tin về không gian mô-đun của các bó đại số trên bề mặt Riemann. Điều này lại phụ thuộc vào sự tương tác giữa các cấu trúc holomorphic và đơn vị, điều mà được phân tích chi tiết.\u003C\u002Fjats:p>",{"EN":1179,"VI":1180},"The Yang-Mills equations over Riemann surfaces","Phương trình Yang-Mills trên các bề mặt Riemann",{"VI":243},{"VOID":1183},"10.1098\u002Frsta.1983.0017",[85],[87],"https:\u002F\u002Froyalsocietypublishing.org\u002Fdoi\u002F10.1098\u002Frsta.1983.0017",[1188,1205],{"id":1189,"sortIndex":21,"researcher":20,"roles":1190,"affiliations":1191,"properties":1200,"displayName":1202,"givenName":20,"familyName":20},"90d0ac89-02ea-4ba9-80cb-0c20a5ca38cd",[],[1192],{"id":1193,"sortIndex":21,"affiliation":1194,"properties":20},"7a85544b-37c5-45b7-ae10-d748144c159f",{"id":1193,"createTime":20,"updateTime":20,"relativeEntities":1195,"slug":20,"properties":1196,"entityType":20,"verifyStatus":20,"verifyTime":20,"verifyNote":20,"languages":20,"translateLanguages":20,"viewCount":20,"url":20,"parentIds":1199,"statistic":20},[],{"title":1197},{"EN":1198},"Mathematical Institute, University of Oxford, 24-29 St Giles', Oxford, OX1 3LB, U.K",[],{"title":1201,"openalex":1203},{"EN":1202},"Michael Atiyah",{"VOID":1204},"A5042327004",{"id":1206,"sortIndex":31,"researcher":20,"roles":1207,"affiliations":1208,"properties":1217,"displayName":1219,"givenName":20,"familyName":20},"c9d56a49-2cc5-429e-a317-df41e0c22a54",[],[1209],{"id":1210,"sortIndex":21,"affiliation":1211,"properties":20},"24fe985a-096d-4da3-a5fb-72c1cf69a9eb",{"id":1210,"createTime":20,"updateTime":20,"relativeEntities":1212,"slug":20,"properties":1213,"entityType":20,"verifyStatus":20,"verifyTime":20,"verifyNote":20,"languages":20,"translateLanguages":20,"viewCount":20,"url":20,"parentIds":1216,"statistic":20},[],{"title":1214},{"VI":1215},"Department of Mathematics, Harvard University, Cambridge, Massachusetts 02138 U.S.A.",[],{"title":1218,"openalex":1220},{"EN":1219},"Raoul Bott",{"VOID":1221},"A5007134388",{"url":20,"publisher":1223,"properties":1237},{"id":6,"createTime":7,"updateTime":8,"relativeEntities":1224,"slug":10,"properties":1225,"entityType":18,"verifyStatus":19,"verifyTime":20,"verifyNote":20,"languages":20,"translateLanguages":20,"viewCount":21,"subjectFields":1229,"manageAffiliations":1230,"indexDatabases":1231,"url":20,"thumbnailPath":20,"statistic":1232,"gsStatistic":20,"type":20,"analyzePriority":20},[],{"issn":1226,"title":1227,"eissn":1228},{"VOID":13},{"EN":15},{"VOID":17},[],[],[],{"impactFactor":21,"impactFactorByYear":1233,"i10Index":27,"i10IndexLast5Year":21,"totalPublication":28,"totalPublicationByYear":1234,"totalCitation":33,"totalCitationByYear":1235,"totalCitationPerPublication":52,"totalCitationPerPublicationByYear":1236,"hindexLast5Year":27,"hindex":27},{},{"1948":30,"1951":31,"1955":31,"1956":31,"1959":31,"1960":31,"1961":31,"1963":31,"1965":31,"1977":31,"1979":30,"1980":30,"1981":32,"1982":30,"1983":31,"1984":31,"1990":31},{"1948":35,"1951":36,"1955":37,"1956":38,"1959":39,"1960":40,"1961":41,"1963":42,"1965":43,"1977":44,"1979":45,"1980":46,"1981":47,"1982":48,"1983":49,"1984":50,"1990":51},{"1948":54,"1951":36,"1955":37,"1956":38,"1959":39,"1960":40,"1961":41,"1963":42,"1965":43,"1977":44,"1979":55,"1980":56,"1981":57,"1982":58,"1983":49,"1984":50,"1990":51},{"issue":1238,"pages":1240,"volume":1242},{"VOID":1239},"1505",{"VOID":1241},"523-615",{"VOID":1243},"308",1975,{"total":1244,"publishYear":1246,"statisticByYear":1247},1983,{"2012":879,"2013":1248,"2014":414,"2015":1249,"2016":1250,"2017":1251,"2018":415,"2019":1250,"2020":1252,"2021":1253,"2022":879,"2023":1254,"2024":1255},65,71,75,76,60,81,44,37,"1983-03-17",[],[1259,1262,1265,1268,1271,1274,1278,1281,1284,1287,1290,1293,1297,1300,1303,1306,1309,1312,1315,1318,1321,1324,1327,1330,1334,1337,1341,1344,1348,1351,1354,1357,1360,1363,1366,1369,1372,1375,1378],{"id":20,"text":1260,"url":20,"identifiers":1261},"Adams J. F. 1969 Lectures on Lie groups. New York: Benjamin.",{},{"id":20,"text":1263,"url":20,"identifiers":1264},"Atiyah M. F., 1955, Complex fibre bundles and ruled surfaces, Soc., 5, 407",{},{"id":20,"text":1266,"url":20,"identifiers":1267},"Atiyah M. F., 1957, Vector bundles over an elliptic curve, Soc., 7, 414r",{},{"id":20,"text":1269,"url":20,"identifiers":1270},"Atiyah M. F. 1979 Geometry of Yang-Mills fields. Fermi Scuola Normale Pisa.",{},{"id":20,"text":1272,"url":20,"identifiers":1273},"Atiyah M. F., 1982, Convexity and commuting, Soc., 14, 1",{},{"id":20,"text":1275,"url":20,"identifiers":1276},"Atiyah M. F. & Bott R. 1980 Yang-Mills and bundles over algebraic curves. Geometry and analysis Patodi memorial volume of Indian Academy of Sciences.",{"doi":1277},"10.1007\u002FBF02867013",{"id":20,"text":1279,"url":20,"identifiers":1280},"10.1098\u002Frspa.1978.0143",{"doi":1279},{"id":20,"text":1282,"url":20,"identifiers":1283},"10.1307\u002Fmmj\u002F1028998010",{"doi":1282},{"id":20,"text":1285,"url":20,"identifiers":1286},"10.2307\u002F2372843",{"doi":1285},{"id":20,"text":1288,"url":20,"identifiers":1289},"Bourbaki N. 1968 Elements de mathematique groupes et algibres de Lie ch. 4- 6 . Paris: Hermann.",{},{"id":20,"text":1291,"url":20,"identifiers":1292},"Desale U. V., 1975, Poincare polynomials of the variety of stable bundles, Annin, 216, 233",{},{"id":20,"text":1294,"url":20,"identifiers":1295},"Donaldson 8 . K. 1983 A new proof of a theorem of Narasimhan and Seshadri. diffl Geom. (To appear.)",{"doi":1296},"10.4310\u002Fjdg\u002F1214437664",{"id":20,"text":1298,"url":20,"identifiers":1299},"10.2307\u002F1969889",{"doi":1298},{"id":20,"text":1301,"url":20,"identifiers":1302},"Gieseker D. 1982 A degeneration of the moduli space of stable bundles. (To appear.)",{},{"id":20,"text":1304,"url":20,"identifiers":1305},"Griffiths P. & Harris J. 1978 Principles of algebraic geometry. New York: Wiley.",{},{"id":20,"text":1307,"url":20,"identifiers":1308},"10.2307\u002F2372388",{"doi":1307},{"id":20,"text":1310,"url":20,"identifiers":1311},"Harder G., 1970, Fine Bemerkung zu einer Arbeit von P, E. Newstead. Math., 242, 16",{},{"id":20,"text":1313,"url":20,"identifiers":1314},"10.1007\u002FBF01357141",{"doi":1313},{"id":20,"text":1316,"url":20,"identifiers":1317},"10.2307\u002F2372705",{"doi":1316},{"id":20,"text":1319,"url":20,"identifiers":1320},"Kirwan F., 1982, Cohomology of quotient spaces C, R. Acad. Sci. Paris, 295, 261",{},{"id":20,"text":1322,"url":20,"identifiers":1323},"Kostant B., 1973, On convexity, the Weyl group and the Iwasawa decomposition. scient Re. norm, sup, Paris, 6, 413",{},{"id":20,"text":1325,"url":20,"identifiers":1326},"Marshall A. W. & Olkin I. 1979 Inequalities: theory of majorization and its applications. New York: Academic Press.",{},{"id":20,"text":1328,"url":20,"identifiers":1329},"Mitter P. K., 1981, On the bundle of connections and the gauge orbit manifold in Yang-Mills theory. Communs math, Phys., 79, 457",{},{"id":20,"text":1331,"url":20,"identifiers":1332},"Mumford D. 1965 Geometric invariant theory. Berlin: Springer-Verlag.",{"doi":1333},"10.1007\u002F978-3-662-00095-3",{"id":20,"text":1335,"url":20,"identifiers":1336},"Narasimhan M., 1979, Geometry of SU(2 ) gauge fields. Communs math, Phys., 67, 121",{},{"id":20,"text":1338,"url":20,"identifiers":1339},"Narasimhan M. 8 . & Ramanan 8 . 1969 Moduli of vector bundles on compact Riemann surface Math 89 1201-1208. ' '",{"doi":1340},"10.2307\u002F1970807",{"id":20,"text":1342,"url":20,"identifiers":1343},"10.2307\u002F1970710",{"doi":1342},{"id":20,"text":1345,"url":20,"identifiers":1346},"Newstead P. E., 1972, Characteristic classes of stable bundles over an algebraic curve, Am. Math. Soc., 169, 337, 10.1090\u002FS0002-9947-1972-0316452-9",{"doi":1347},"10.1090\u002FS0002-9947-1972-0316452-9",{"id":20,"text":1349,"url":20,"identifiers":1350},"Palais R. 1965 Foundations ofglobal non-linear analysis. New York: Benjamin.",{},{"id":20,"text":1352,"url":20,"identifiers":1353},"10.1016\u002F0040-9383(80)90032-4",{"doi":1352},{"id":20,"text":1355,"url":20,"identifiers":1356},"10.1007\u002FBF01578292",{"doi":1355},{"id":20,"text":1358,"url":20,"identifiers":1359},"Ramanathan A., 1975, Stable principal bundles on a compact Riemann surface, Annin, 213, 129",{},{"id":20,"text":1361,"url":20,"identifiers":1362},"Seshadri G. S., 1967, Space of unitary vector bundles on a compact Riemann surface, Math., 85, 303",{},{"id":20,"text":1364,"url":20,"identifiers":1365},"Shatz 8 . S. 1977 The decomposition and specialization of algebraic families of vector bundles. Compositio math. 35 163-187.",{},{"id":20,"text":1367,"url":20,"identifiers":1368},"10.2140\u002Fpjm.1959.9.585",{"doi":1367},{"id":20,"text":1370,"url":20,"identifiers":1371},"Singer I. M., 1978, Some remarks on the Gribov ambiguity. Communs math, Phys., 60, 7",{},{"id":20,"text":1373,"url":20,"identifiers":1374},"Uhlenbeck K. 1982 Connections with",{},{"id":20,"text":1376,"url":20,"identifiers":1377},"Weil A., 1938, Generalisation des fonctions abeliennes. Lpbounds on curvature. Communs math, Phys., 83, 31",{},{"id":20,"text":1379,"url":20,"identifiers":1380},"Math pares appl. 17 47-87.",{},{"id":1382,"createTime":1383,"updateTime":1384,"relativeEntities":1385,"slug":1386,"properties":1387,"entityType":81,"verifyStatus":82,"verifyTime":1401,"verifyNote":83,"languages":1402,"translateLanguages":1403,"viewCount":21,"primaryUrl":1404,"fullTextUrl":20,"authors":1405,"publicationType":107,"publisherRelationship":1453,"citationCount":1475,"citationInfo":1476,"publishDate":1492,"publishYear":1477,"citationAnalyzeStatus":19,"lastCitationAnalyze":20,"indexDatabases":1493,"openAccess":20,"references":1494,"isForceReanalyzing":224},"9b002679-2462-4153-beef-e43d64bdc7ad","2024-10-02T21:22:35.524+00:00","2025-02-26T19:42:41.657+00:00",[],"On-certain-integrals-of-Lipschitz-Hankel-type-involving-products-of-bessel-functions",{"openalex":1388,"mag":1390,"abstract":1392,"title":1395,"keywords":1398,"doi":1399},{"VOID":1389},"W2060422862",{"VOID":1391},"2060422862",{"EN":1393,"VI":1394},"\u003Cjats:p>This paper is concerned with the evaluation and tabulation of certain integrals of the type (* 00 I(p, v; A) = J J fa t) ) e~cttxdt. In part I of this paper, a formula is derived for the integrals in terms of an integral of a hypergeometric function. This new integral is evaluated in the particular cases which are of most frequent use in mathematical physics. By means of these results, approximate expansions are obtained for cases in which the ratio b\u002Fa is small or in which b~a and is small. In part II, recurrence relations are developed between integrals with integral values of the parameters pt, v and A. Tables are given by means of which 7(0, 0; 1), 7(0, 1; 1), 7(1, 0; 1), 7(1,1; 1), 7(0, 0 ;0), 7(1, 0;'0), 7(0, 1; 0), 7(1, 1; 0), 7(0,1; - 1 ), 7(1,0; - 1 ) and 7(1,1; - 1 ) may be evaluated for 0 < b\u002Fa ^ 2, 0 ^ c\u002Fa ^ 2.\u003C\u002Fjats:p>","\u003Cjats:p>Bài báo này đề cập đến việc đánh giá và lập bảng một số tích phân có dạng (* 00 I(p, v; A) = J J fa t) ) e~cttxdt. Ở phần I của bài báo này, một công thức được đưa ra cho các tích phân theo dạng của một tích phân của một hàm siêu hình. Tích phân mới này được đánh giá trong các trường hợp cụ thể thường xuyên sử dụng trong vật lý toán học. Thông qua các kết quả này, các khai triển xấp xỉ được thu được cho các trường hợp mà tỷ lệ b\u002Fa là nhỏ hoặc trong trường hợp b~a và là nhỏ. Ở phần II, các quan hệ hồi tiếp được phát triển giữa các tích phân với các giá trị nguyên của các tham số pt, v và A. Các bảng được đưa ra qua đó 7(0, 0; 1), 7(0, 1; 1), 7(1, 0; 1), 7(1,1; 1), 7(0, 0;0), 7(1, 0;'0), 7(0, 1; 0), 7(1, 1; 0), 7(0,1; - 1 ), 7(1,0; - 1 ) và 7(1,1; - 1 ) có thể được đánh giá cho 0 \u003C b\u002Fa ^ 2, 0 ^ c\u002Fa ^ 2.\u003C\u002Fjats:p>",{"EN":1396,"VI":1397},"On certain integrals of Lipschitz-Hankel type involving products of bessel functions","Về một số tích phân loại Lipschitz-Hankel liên quan đến các tích của hàm Bessel",{"VI":243},{"VOID":1400},"10.1098\u002Frsta.1955.0005","2024-10-02T21:22:35.523+00:00",[85],[87],"https:\u002F\u002Froyalsocietypublishing.org\u002Fdoi\u002F10.1098\u002Frsta.1955.0005",[1406,1423,1438],{"id":1407,"sortIndex":21,"researcher":20,"roles":1408,"affiliations":1409,"properties":1418,"displayName":1420,"givenName":20,"familyName":20},"fd45b6aa-e215-4a44-ab47-730a2c119250",[],[1410],{"id":1411,"sortIndex":21,"affiliation":1412,"properties":20},"d46ba097-f41f-4d49-af84-f74d357957f9",{"id":1411,"createTime":20,"updateTime":20,"relativeEntities":1413,"slug":20,"properties":1414,"entityType":20,"verifyStatus":20,"verifyTime":20,"verifyNote":20,"languages":20,"translateLanguages":20,"viewCount":20,"url":20,"parentIds":1417,"statistic":20},[],{"title":1415},{"EN":1416},"Department of Mathematics, the University College of North Staffordshire",[],{"title":1419,"openalex":1421},{"EN":1420},"G. Eason",{"VOID":1422},"A5041244423",{"id":1424,"sortIndex":31,"researcher":20,"roles":1425,"affiliations":1426,"properties":1433,"displayName":1435,"givenName":20,"familyName":20},"b0f2fbea-2637-4b49-9e72-e103fbc7e4cf",[],[1427],{"id":1411,"sortIndex":21,"affiliation":1428,"properties":20},{"id":1411,"createTime":20,"updateTime":20,"relativeEntities":1429,"slug":20,"properties":1430,"entityType":20,"verifyStatus":20,"verifyTime":20,"verifyNote":20,"languages":20,"translateLanguages":20,"viewCount":20,"url":20,"parentIds":1432,"statistic":20},[],{"title":1431},{"EN":1416},[],{"title":1434,"openalex":1436},{"EN":1435},"B. Noble",{"VOID":1437},"A5009956318",{"id":1439,"sortIndex":30,"researcher":20,"roles":1440,"affiliations":1441,"properties":1448,"displayName":1450,"givenName":20,"familyName":20},"22f5d282-d94d-4022-9b78-bc8a40673ea7",[],[1442],{"id":1411,"sortIndex":21,"affiliation":1443,"properties":20},{"id":1411,"createTime":20,"updateTime":20,"relativeEntities":1444,"slug":20,"properties":1445,"entityType":20,"verifyStatus":20,"verifyTime":20,"verifyNote":20,"languages":20,"translateLanguages":20,"viewCount":20,"url":20,"parentIds":1447,"statistic":20},[],{"title":1446},{"EN":1416},[],{"title":1449,"openalex":1451},{"EN":1450},"I. N. Sneddon",{"VOID":1452},"A5020455200",{"url":20,"publisher":1454,"properties":1468},{"id":6,"createTime":7,"updateTime":8,"relativeEntities":1455,"slug":10,"properties":1456,"entityType":18,"verifyStatus":19,"verifyTime":20,"verifyNote":20,"languages":20,"translateLanguages":20,"viewCount":21,"subjectFields":1460,"manageAffiliations":1461,"indexDatabases":1462,"url":20,"thumbnailPath":20,"statistic":1463,"gsStatistic":20,"type":20,"analyzePriority":20},[],{"issn":1457,"title":1458,"eissn":1459},{"VOID":13},{"EN":15},{"VOID":17},[],[],[],{"impactFactor":21,"impactFactorByYear":1464,"i10Index":27,"i10IndexLast5Year":21,"totalPublication":28,"totalPublicationByYear":1465,"totalCitation":33,"totalCitationByYear":1466,"totalCitationPerPublication":52,"totalCitationPerPublicationByYear":1467,"hindexLast5Year":27,"hindex":27},{},{"1948":30,"1951":31,"1955":31,"1956":31,"1959":31,"1960":31,"1961":31,"1963":31,"1965":31,"1977":31,"1979":30,"1980":30,"1981":32,"1982":30,"1983":31,"1984":31,"1990":31},{"1948":35,"1951":36,"1955":37,"1956":38,"1959":39,"1960":40,"1961":41,"1963":42,"1965":43,"1977":44,"1979":45,"1980":46,"1981":47,"1982":48,"1983":49,"1984":50,"1990":51},{"1948":54,"1951":36,"1955":37,"1956":38,"1959":39,"1960":40,"1961":41,"1963":42,"1965":43,"1977":44,"1979":55,"1980":56,"1981":57,"1982":58,"1983":49,"1984":50,"1990":51},{"issue":1469,"pages":1471,"volume":1473},{"VOID":1470},"935",{"VOID":1472},"529-551",{"VOID":1474},"247",3666,{"total":1475,"publishYear":1477,"statisticByYear":1478},1955,{"2012":1479,"2013":1480,"2014":1481,"2015":1482,"2016":1483,"2017":1484,"2018":1485,"2019":1486,"2020":1487,"2021":1488,"2022":1489,"2023":1490,"2024":1491},212,163,155,195,193,207,258,285,229,260,281,326,69,"1955-04-19",[],[1495,1498,1501,1504,1507,1510,1513,1516,1519,1522,1525,1528,1531,1534,1537],{"id":20,"text":1496,"url":20,"identifiers":1497},"Batem an H. 1944 Partial differential equations o f mathematical physics. New York: Dover Publications.",{},{"id":20,"text":1499,"url":20,"identifiers":1500},"10.1002\u002Fsapm1941201127",{"doi":1499},{"id":20,"text":1502,"url":20,"identifiers":1503},"Jahnke E. & Emde F. 1945 Tables o ffunctions withformulae and curves. New York: Dover Publications.",{},{"id":20,"text":1505,"url":20,"identifiers":1506},"Jeffreys H. & B. S. 1946 Methods of mathematical physics. Cam bridge University Press.",{},{"id":20,"text":1508,"url":20,"identifiers":1509},"M agnus W. & O berhettinger F. 1949 Specialfunctions o f mathematical physics. New York: Chelsea Publishing Co.",{},{"id":20,"text":1511,"url":20,"identifiers":1512},"N om ura Y. 1940a",{},{"id":20,"text":1514,"url":20,"identifiers":1515},"1940, 6 Sci.Rep. Tohoku Univ. (1), 28, 304, Sci.Rep. Tohoku Univ. (1), 29, 22",{},{"id":20,"text":1517,"url":20,"identifiers":1518},"1941, Proc. Phys.-Math. Soc. Japan (3), 23, 168",{},{"id":20,"text":1520,"url":20,"identifiers":1521},"Smythe W. R. 1939 Staticand dynamic electricity. New York: M cG raw -H ill Publishing Co.",{},{"id":20,"text":1523,"url":20,"identifiers":1524},"10.1017\u002FS0305004100023021",{"doi":1523},{"id":20,"text":1526,"url":20,"identifiers":1527},"Sneddon I. N. 1951 Fourier transforms. New York: M cGraw-Hill Publishing Co.",{},{"id":20,"text":1529,"url":20,"identifiers":1530},"Sura-Bura M . R. 1950 Doklady Akad. Nauk S.S.S.R (n.s.) 73 901.",{},{"id":20,"text":1532,"url":20,"identifiers":1533},"Tallqvist H. 1932 Comment. Phys.-Math. Soc. Sci. Fenn 6 p art 11.",{},{"id":20,"text":1535,"url":20,"identifiers":1536},"Terazaw, 1916, J.Coll. Sci. Imp. Univ. Tokyo,37, article 7.",{},{"id":20,"text":1538,"url":20,"identifiers":1539},"W atson G. N. 1944 The theory of Besselfunctions 2nd ed. Cam bridge University Press.",{},{"id":1541,"createTime":1542,"updateTime":1543,"relativeEntities":1544,"slug":1545,"properties":1546,"entityType":81,"verifyStatus":19,"verifyTime":1542,"verifyNote":335,"languages":1560,"translateLanguages":1561,"viewCount":21,"primaryUrl":1562,"fullTextUrl":20,"authors":1563,"publicationType":107,"publisherRelationship":1582,"citationCount":1604,"citationInfo":1605,"publishDate":1616,"publishYear":1129,"citationAnalyzeStatus":19,"lastCitationAnalyze":20,"indexDatabases":1617,"openAccess":20,"references":1618,"isForceReanalyzing":224},"56b9aac7-ef44-4db0-b316-e5f4aff11e9f","2024-07-18T07:44:38.917+00:00","2025-02-26T19:41:44.474+00:00",[],"A-mechanism-of-magnetic-hysteresis-in-heterogeneous-alloys",{"openalex":1547,"mag":1549,"abstract":1551,"title":1554,"keywords":1557,"doi":1558},{"VOID":1548},"W2101697338",{"VOID":1550},"2101697338",{"EN":1552,"VI":1553},"\u003Cjats:p>\n            The Becker-Kersten treatment of domain boundary movements is widely applicable in the interpretation of magnetization curves, but it does not account satisfactorily for the higher coercivities obtained, for example, in permanent magnet alloys. It is suggested that in many ferromagnetic materials there may occur ‘particles’ (this term including atomic segregates or ‘islands’ in alloys), distinct in magnetic character from the general matrix, and below the critical size, depending on shape, for which domain boundary formation is energetically possible. For such single-domain particles, change of magnetization can take place only by rotation of the magnetization vector,\n            \u003Cjats:italic>I\u003C\u002Fjats:italic>\n            \u003Cjats:sub>O\u003C\u002Fjats:sub>\n            . As the field changes continuously, the resolved magnetization,\n            \u003Cjats:italic>I\u003C\u002Fjats:italic>\n            \u003Cjats:sub>H\u003C\u002Fjats:sub>\n            , may change discontinuously at critical values,\n            \u003Cjats:italic>H\u003C\u002Fjats:italic>\n            \u003Cjats:sub>O\u003C\u002Fjats:sub>\n            , of the field. The character of the magnetization curves depends on the degree of magnetic anisotropy of the particle, and on the orientation of ‘easy axes’ with respect to the field. The magnetic anisotropy may arise from the shape of the particle, from magneto-crystalline effects, and from strain. A detailed quantitative treatment is given of the effect of shape anisotropy when the particles have the form of ellipsoids of revolution (§§ 2, 3, 4), and a less detailed treatment for the general ellipsoidal form (§ 5). For the first it is convenient to use the non-dimensional parameter such that\n            \u003Cjats:italic>h\u003C\u002Fjats:italic>\n            =\n            \u003Cjats:italic>H\u003C\u002Fjats:italic>\n            \u002F(|\n            \u003Cjats:italic>N\u003C\u002Fjats:italic>\n            \u003Cjats:sub>a\u003C\u002Fjats:sub>\n            -\n            \u003Cjats:italic>N\u003C\u002Fjats:italic>\n            \u003Cjats:sub>b\u003C\u002Fjats:sub>\n            |)\n            \u003Cjats:italic>I\u003C\u002Fjats:italic>\n            \u003Cjats:sub>O\u003C\u002Fjats:sub>\n            ,\n            \u003Cjats:italic>N\u003C\u002Fjats:italic>\n            \u003Cjats:sub>a\u003C\u002Fjats:sub>\n            and\n            \u003Cjats:italic>N\u003C\u002Fjats:italic>\n            \u003Cjats:sub>b\u003C\u002Fjats:sub>\n            being the demagnetization coefficients along the polar and equatorial axes. The results are presented in tables and diagrams giving the variation with\n            \u003Cjats:italic>h\u003C\u002Fjats:italic>\n            of\n            \u003Cjats:italic>I\u003C\u002Fjats:italic>\n            \u003Cjats:sub>H\u003C\u002Fjats:sub>\n            \u002F\n            \u003Cjats:italic>I\u003C\u002Fjats:italic>\n            \u003Cjats:sub>O\u003C\u002Fjats:sub>\n            . For the special limiting form of the oblate spheroid there is no hysteresis. For the prolate spheroid, as the orientation angle,\n            \u003Cjats:italic>θ\u003C\u002Fjats:italic>\n            , varies from 0 to 90°, the cyclic magnetization curves change from a rectangular form with |\n            \u003Cjats:italic>h\u003C\u002Fjats:italic>\n            \u003Cjats:sub>O\u003C\u002Fjats:sub>\n            | = 1, to a linear non-hysteretic form, with an interesting sequence of intermediate forms. Exact expressions are obtained for the dependence of\n            \u003Cjats:italic>h\u003C\u002Fjats:italic>\n            \u003Cjats:sub>θ\u003C\u002Fjats:sub>\n            on\n            \u003Cjats:italic>θ\u003C\u002Fjats:italic>\n            , and curves for random distribution are computed. All the numerical results are applicable when the anisotropy is due to longitudinal stress, when\n            \u003Cjats:italic>h\u003C\u002Fjats:italic>\n            =\n            \u003Cjats:italic>HI\u003C\u002Fjats:italic>\n            \u003Cjats:sub>0\u003C\u002Fjats:sub>\n            \u002F3λδ, where λ is the saturation magnetostriction coefficient, and δ the stress. The results also apply to magneto-crystalline anisotropy in the important and representative case in which there is a unique axis of easy magnetization as for hexagonal cobalt. Estimates are made of the magnitude of the effect of the various types of anisotropy. For iron the maximum coercivities, for the most favourable orientation, due to the magneto-crystalline and strain effects are about 400 and 600 respectively. These values are exceeded by those due to the shape effect in prolate spheroids if the dimensional ratio,\n            \u003Cjats:italic>m\u003C\u002Fjats:italic>\n            , is greater than 1·1; for\n            \u003Cjats:italic>m\u003C\u002Fjats:italic>\n            = 10, the corresponding value would be about 10,000 (§7). A fairly precise estimate is made of the lower limit for the equatorial diameter of a particle in the form of a prolate spheroid below which boundary formation cannot occur. As\n            \u003Cjats:italic>m\u003C\u002Fjats:italic>\n            varies from 1 (the sphere) to 10, this varies from 1·5 to 6·1 x 10\n            \u003Cjats:sup>-6\u003C\u002Fjats:sup>\n            for iron, and from 6·2 to 25 x 10\n            \u003Cjats:sup>-6\u003C\u002Fjats:sup>\n            for nickel (§ 6). A discussion is given (§ 7) of the application of these results to (\n            \u003Cjats:italic>a\u003C\u002Fjats:italic>\n            ) non-ferromagnetic metals and alloys containing ferromagnetic ‘impurities’, (\n            \u003Cjats:italic>b\u003C\u002Fjats:italic>\n            ) powder magnets, (\n            \u003Cjats:italic>e\u003C\u002Fjats:italic>\n            ) high coeravity alloys of the dispersion hardening type. In connexion with (\n            \u003Cjats:italic>c\u003C\u002Fjats:italic>\n            ) the possible bearing on the effects of cooling in a magnetic field is indicated.\n          \u003C\u002Fjats:p>","\u003Cjats:p>Phương pháp xử lý của Becker-Kersten về sự chuyển động của ranh giới miền được áp dụng rộng rãi trong việc giải thích các đường đặc trưng từ tính, nhưng không thể giải thích một cách thỏa đáng cho các độ cưỡng bức cao hơn được thu được, ví dụ, trong các hợp kim nam châm vĩnh cửu. Đề xuất cho thấy rằng trong nhiều vật liệu từ ferromagnetic có thể xảy ra 'hạt' (thuật ngữ này bao gồm các phân đoạn nguyên tử hoặc 'đảo' trong các hợp kim), có đặc tính từ tính khác biệt so với ma trận tổng thể, và dưới kích thước tới hạn, tùy thuộc vào hình dạng, để hình thành ranh giới miền có thể xảy ra về mặt năng lượng. Đối với các hạt đơn miền như vậy, sự thay đổi từ tính có thể diễn ra chỉ bằng cách xoay vector từ tính, \u003Cjats:italic>I\u003C\u002Fjats:italic>\u003Cjats:sub>O\u003C\u002Fjats:sub>. Khi trường thay đổi liên tục, từ tính giải quyết, \u003Cjats:italic>I\u003C\u002Fjats:italic>\u003Cjats:sub>H\u003C\u002Fjats:sub>, có thể thay đổi không liên tục tại các giá trị tới hạn, \u003Cjats:italic>H\u003C\u002Fjats:italic>\u003Cjats:sub>O\u003C\u002Fjats:sub>, của trường. Tính chất của các đường cong từ tính phụ thuộc vào độ anisotropy từ tính của hạt và hướng của 'trục dễ' so với trường. Tính anisotropy từ tính có thể phát sinh từ hình dạng của hạt, từ các hiệu ứng từ tinh thể, và từ biến dạng. Một điều trị định lượng chi tiết được đưa ra về ảnh hưởng của anisotropy hình dạng khi các hạt có hình ellipsoid cách mạng (§§ 2, 3, 4), và một điều trị ít chi tiết hơn cho hình dạng ellipsoid tổng quát (§ 5). Đối với trường hợp đầu tiên, thật thuận tiện để sử dụng tham số phi kích thước sao cho \u003Cjats:italic>h\u003C\u002Fjats:italic> = \u003Cjats:italic>H\u003C\u002Fjats:italic>\u002F(|\u003Cjats:italic>N\u003C\u002Fjats:italic>\u003Cjats:sub>a\u003C\u002Fjats:sub> - \u003Cjats:italic>N\u003C\u002Fjats:italic>\u003Cjats:sub>b\u003C\u002Fjats:sub>|) \u003Cjats:italic>I\u003C\u002Fjats:italic>\u003Cjats:sub>O\u003C\u002Fjats:sub>, \u003Cjats:italic>N\u003C\u002Fjats:italic>\u003Cjats:sub>a\u003C\u002Fjats:sub> và \u003Cjats:italic>N\u003C\u002Fjats:italic>\u003Cjats:sub>b\u003C\u002Fjats:sub> là các hệ số phi từ dọc theo các trục cực và xích đạo. Các kết quả được trình bày trong các bảng và biểu đồ cho thấy sự biến đổi với \u003Cjats:italic>h\u003C\u002Fjats:italic> của \u003Cjats:italic>I\u003C\u002Fjats:italic>\u003Cjats:sub>H\u003C\u002Fjats:sub>\u002F \u003Cjats:italic>I\u003C\u002Fjats:italic>\u003Cjats:sub>O\u003C\u002Fjats:sub>. Đối với hình dạng giới hạn đặc biệt của hình cầu phẳng, không có hiện tượng trễ. Đối với hình cầu dài, khi góc định hướng, \u003Cjats:italic>θ\u003C\u002Fjats:italic>, thay đổi từ 0 đến 90°, các đường cong từ tính chu kỳ thay đổi từ hình dạng hình chữ nhật với |\u003Cjats:italic>h\u003C\u002Fjats:italic>\u003Cjats:sub>O\u003C\u002Fjats:sub>| = 1, sang hình dạng tuyến tính không có độ trễ, với một chuỗi thú vị của các hình dạng trung gian. Các biểu thức chính xác được thu được cho sự phụ thuộc của \u003Cjats:italic>h\u003C\u002Fjats:italic>\u003Cjats:sub>θ\u003C\u002Fjats:sub> vào \u003Cjats:italic>θ\u003C\u002Fjats:italic>, và các đường cong cho phân bố ngẫu nhiên được tính toán. Tất cả các kết quả số đều áp dụng khi tính anisotropy là do ứng suất dọc, khi \u003Cjats:italic>h\u003C\u002Fjats:italic> = \u003Cjats:italic>H\u003C\u002Fjats:italic>\u003Cjats:sub>I\u003C\u002Fjats:sub>\u003Cjats:sub>0\u003C\u002Fjats:sub>\u002F3λδ, với λ là hệ số biến dạng từ tính bão hòa, và δ là ứng suất. Các kết quả cũng áp dụng cho độ anisotropy từ tinh thể trong trường hợp quan trọng và tiêu biểu mà có một trục chính duy nhất của sự từ hóa dễ, như đối với coban hình lục giác. Các ước tính về độ lớn của ảnh hưởng của các loại tính anisotropy khác nhau cũng được đưa ra. Đối với sắt, các độ cưỡng bức tối đa, ở vị trí thuận lợi nhất, do các hiệu ứng từ tính bão hòa và biến dạng lần lượt là khoảng 400 và 600. Những giá trị này cũng bị vượt qua bởi những giá trị do hiệu ứng hình dạng ở hình cầu dài, nếu tỷ lệ kích thước, \u003Cjats:italic>m\u003C\u002Fjats:italic>, lớn hơn 1·1; trong trường hợp \u003Cjats:italic>m\u003C\u002Fjats:italic> = 10, giá trị tương ứng sẽ khoảng 10,000 (§7). Một ước tính khá chính xác được đưa ra cho giới hạn dưới của đường kính xích đạo của một hạt có hình dạng cầu dài mà dưới mức giới hạn này thì không thể xảy ra sự hình thành ranh giới. Khi \u003Cjats:italic>m\u003C\u002Fjats:italic> thay đổi từ 1 (hình cầu) đến 10, điều này thay đổi từ 1·5 đến 6·1 x 10\u003Cjats:sup>-6\u003C\u002Fjats:sup> cho sắt, và từ 6·2 đến 25 x 10\u003Cjats:sup>-6\u003C\u002Fjats:sup> cho niken (§ 6). Một cuộc thảo luận được đưa ra (§ 7) về việc áp dụng các kết quả này cho (a) các kim loại và hợp kim không từ tính chứa 'tạp chất' ferromagnetic, (b) nam châm bột, (c) các hợp kim có sức cưỡng bức cao thuộc loại tăng cường phân tán. Liên quan đến (c) có thể chỉ ra những ảnh hưởng của việc làm mát trong một trường từ. \u003C\u002Fjats:p>",{"EN":1555,"VI":1556},"A mechanism of magnetic hysteresis in heterogeneous alloys","Cơ chế của hiện tượng từ tính nhiễu trong hợp kim dị tính",{"VI":243},{"VOID":1559},"10.1098\u002Frsta.1948.0007",[85],[87],"https:\u002F\u002Froyalsocietypublishing.org\u002Fdoi\u002F10.1098\u002Frsta.1948.0007",[1564,1573],{"id":1565,"sortIndex":21,"researcher":20,"roles":1566,"affiliations":1567,"properties":1568,"displayName":1570,"givenName":20,"familyName":20},"51cd25b8-6194-4586-9cc7-fab4e67fe2d5",[],[],{"title":1569,"openalex":1571},{"EN":1570},"Edmund C. Stoner",{"VOID":1572},"A5054778270",{"id":1574,"sortIndex":31,"researcher":20,"roles":1575,"affiliations":1576,"properties":1577,"displayName":1579,"givenName":20,"familyName":20},"ce4b5964-dfa2-4b6c-965e-ecd06e9dacb9",[],[],{"title":1578,"openalex":1580},{"EN":1579},"E.P. 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