Nawaraj Paudel, Chiara Tarantini, Shreyas Balachandran, William L. Starch, Peter J. Lee, David C. Larbalestier
{"title":"铌合金化对铌再结晶和 Nb3Sn 上临界场的影响","authors":"Nawaraj Paudel, Chiara Tarantini, Shreyas Balachandran, William L. Starch, Peter J. Lee, David C. Larbalestier","doi":"10.1103/physrevmaterials.8.084801","DOIUrl":null,"url":null,"abstract":"<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow><msub><mi mathvariant=\"normal\">Nb</mi><mn>3</mn></msub><mi>Sn</mi></mrow></math> conductors are important candidates for high-field magnets for particle accelerators, and they continue to be widely used for many laboratory and nuclear magnetic resonance magnets. However, the critical current density, <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><msub><mi>J</mi><mi>c</mi></msub></math>, of present <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow><msub><mi mathvariant=\"normal\">Nb</mi><mn>3</mn></msub><mi>Sn</mi></mrow></math> conductors declines swiftly above 12–15 T. State-of-the-art Ta- and Ti-doped strands exhibit upper critical field, <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><msub><mi>H</mi><mrow><mi>c</mi><mn>2</mn></mrow></msub></math>, values of ∼24–26.5 T (4.2 K) and do not reach the Future Circular Collider target <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><msub><mi>J</mi><mi>c</mi></msub></math>, which serves as the present stretch target for <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow><msub><mi mathvariant=\"normal\">Nb</mi><mn>3</mn></msub><mi>Sn</mi></mrow></math> development. As recently demonstrated, to meet this goal requires enhanced vortex pinning but an independent and supplementary approach is to significantly enhance <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><msub><mi>H</mi><mrow><mi>c</mi><mn>2</mn></mrow></msub></math>. In this study, we have arc melted multiple Nb alloys with added Hf, Zr, Ta, and Ti and drawn them successfully into monofilament wires to investigate the possibilities of <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><msub><mi>H</mi><mrow><mi>c</mi><mn>2</mn></mrow></msub></math> enhancement through alloying. <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><msub><mi>H</mi><mrow><mi>c</mi><mn>2</mn></mrow></msub><mo>(</mo><mi>T</mi><mo>)</mo></math> was measured for all samples in fields up to 16 T and some up to 31 T. We have found that all alloys show good agreement with the standard Werthamer, Helfand, and Hohenberg fitting procedure without the need to adjust the paramagnetic limitation parameter (<i>α</i>) and spin-orbit scattering parameter <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mo>(</mo><msub><mi>λ</mi><mi>so</mi></msub><mo>)</mo></math>. The evaluation of <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow><mi>d</mi><msub><mi>H</mi><mrow><mi>c</mi><mn>2</mn></mrow></msub><mo>/</mo><mi>d</mi><mi>T</mi></mrow></math> near <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><msub><mi>T</mi><mi>c</mi></msub></math>, which is proportional to the electronic specific heat coefficient <i>γ</i> and the normal state resistivity <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><msub><mi>ρ</mi><mi mathvariant=\"normal\">n</mi></msub></math>, allows a better understanding of the induced disorder introduced by alloying in the A15 phase. So far, we have observed that Hf alloying of pure Nb can enhance <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><msub><mi>H</mi><mrow><mi>c</mi><mn>2</mn></mrow></msub><mo>(</mo><mn>0</mn><mo>)</mo></math> by 3–4 T to ∼28 T, while adding just <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow><mn>1</mn><mspace width=\"0.28em\"></mspace><mtext>at.</mtext><mspace width=\"0.16em\"></mspace><mo>%</mo></mrow></math> Hf or Zr into a Nb-4 at. % Ta base alloy can raise <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow><msub><mi>H</mi><mrow><mi>c</mi><mn>2</mn></mrow></msub><mrow><mo>(</mo><mn>0</mn><mo>)</mo></mrow></mrow></math> to ∼31 T. Very importantly we find that Hf and Zr raise the alloy recrystallization temperature above the usual A15 reaction temperature range of <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow><mn>650</mn><msup><mspace width=\"0.16em\"></mspace><mo>∘</mo></msup><mi mathvariant=\"normal\">C</mi><mo>−</mo><mn>750</mn><msup><mspace width=\"0.16em\"></mspace><mo>∘</mo></msup><mi mathvariant=\"normal\">C</mi></mrow></math>, thus ensuring denser A15 phase nucleation in the Nb alloy grain boundaries, possibly leading to a more homogeneous A15 phase Sn content and refined A15 grain size. The potential for further advancements in <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow><msub><mi mathvariant=\"normal\">Nb</mi><mn>3</mn></msub><mi>Sn</mi></mrow></math> properties is explored in relation to the recrystallization of the Nb alloy and the factors controlling the upper critical field.","PeriodicalId":20545,"journal":{"name":"Physical Review Materials","volume":null,"pages":null},"PeriodicalIF":3.1000,"publicationDate":"2024-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Influence of Nb alloying on Nb recrystallization and the upper critical field of Nb3Sn\",\"authors\":\"Nawaraj Paudel, Chiara Tarantini, Shreyas Balachandran, William L. Starch, Peter J. Lee, David C. Larbalestier\",\"doi\":\"10.1103/physrevmaterials.8.084801\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<math xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\"><mrow><msub><mi mathvariant=\\\"normal\\\">Nb</mi><mn>3</mn></msub><mi>Sn</mi></mrow></math> conductors are important candidates for high-field magnets for particle accelerators, and they continue to be widely used for many laboratory and nuclear magnetic resonance magnets. However, the critical current density, <math xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\"><msub><mi>J</mi><mi>c</mi></msub></math>, of present <math xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\"><mrow><msub><mi mathvariant=\\\"normal\\\">Nb</mi><mn>3</mn></msub><mi>Sn</mi></mrow></math> conductors declines swiftly above 12–15 T. State-of-the-art Ta- and Ti-doped strands exhibit upper critical field, <math xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\"><msub><mi>H</mi><mrow><mi>c</mi><mn>2</mn></mrow></msub></math>, values of ∼24–26.5 T (4.2 K) and do not reach the Future Circular Collider target <math xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\"><msub><mi>J</mi><mi>c</mi></msub></math>, which serves as the present stretch target for <math xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\"><mrow><msub><mi mathvariant=\\\"normal\\\">Nb</mi><mn>3</mn></msub><mi>Sn</mi></mrow></math> development. As recently demonstrated, to meet this goal requires enhanced vortex pinning but an independent and supplementary approach is to significantly enhance <math xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\"><msub><mi>H</mi><mrow><mi>c</mi><mn>2</mn></mrow></msub></math>. In this study, we have arc melted multiple Nb alloys with added Hf, Zr, Ta, and Ti and drawn them successfully into monofilament wires to investigate the possibilities of <math xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\"><msub><mi>H</mi><mrow><mi>c</mi><mn>2</mn></mrow></msub></math> enhancement through alloying. <math xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\"><msub><mi>H</mi><mrow><mi>c</mi><mn>2</mn></mrow></msub><mo>(</mo><mi>T</mi><mo>)</mo></math> was measured for all samples in fields up to 16 T and some up to 31 T. We have found that all alloys show good agreement with the standard Werthamer, Helfand, and Hohenberg fitting procedure without the need to adjust the paramagnetic limitation parameter (<i>α</i>) and spin-orbit scattering parameter <math xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\"><mo>(</mo><msub><mi>λ</mi><mi>so</mi></msub><mo>)</mo></math>. The evaluation of <math xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\"><mrow><mi>d</mi><msub><mi>H</mi><mrow><mi>c</mi><mn>2</mn></mrow></msub><mo>/</mo><mi>d</mi><mi>T</mi></mrow></math> near <math xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\"><msub><mi>T</mi><mi>c</mi></msub></math>, which is proportional to the electronic specific heat coefficient <i>γ</i> and the normal state resistivity <math xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\"><msub><mi>ρ</mi><mi mathvariant=\\\"normal\\\">n</mi></msub></math>, allows a better understanding of the induced disorder introduced by alloying in the A15 phase. So far, we have observed that Hf alloying of pure Nb can enhance <math xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\"><msub><mi>H</mi><mrow><mi>c</mi><mn>2</mn></mrow></msub><mo>(</mo><mn>0</mn><mo>)</mo></math> by 3–4 T to ∼28 T, while adding just <math xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\"><mrow><mn>1</mn><mspace width=\\\"0.28em\\\"></mspace><mtext>at.</mtext><mspace width=\\\"0.16em\\\"></mspace><mo>%</mo></mrow></math> Hf or Zr into a Nb-4 at. % Ta base alloy can raise <math xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\"><mrow><msub><mi>H</mi><mrow><mi>c</mi><mn>2</mn></mrow></msub><mrow><mo>(</mo><mn>0</mn><mo>)</mo></mrow></mrow></math> to ∼31 T. Very importantly we find that Hf and Zr raise the alloy recrystallization temperature above the usual A15 reaction temperature range of <math xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\"><mrow><mn>650</mn><msup><mspace width=\\\"0.16em\\\"></mspace><mo>∘</mo></msup><mi mathvariant=\\\"normal\\\">C</mi><mo>−</mo><mn>750</mn><msup><mspace width=\\\"0.16em\\\"></mspace><mo>∘</mo></msup><mi mathvariant=\\\"normal\\\">C</mi></mrow></math>, thus ensuring denser A15 phase nucleation in the Nb alloy grain boundaries, possibly leading to a more homogeneous A15 phase Sn content and refined A15 grain size. The potential for further advancements in <math xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\"><mrow><msub><mi mathvariant=\\\"normal\\\">Nb</mi><mn>3</mn></msub><mi>Sn</mi></mrow></math> properties is explored in relation to the recrystallization of the Nb alloy and the factors controlling the upper critical field.\",\"PeriodicalId\":20545,\"journal\":{\"name\":\"Physical Review Materials\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":3.1000,\"publicationDate\":\"2024-08-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Physical Review Materials\",\"FirstCategoryId\":\"88\",\"ListUrlMain\":\"https://doi.org/10.1103/physrevmaterials.8.084801\",\"RegionNum\":3,\"RegionCategory\":\"材料科学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATERIALS SCIENCE, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Physical Review Materials","FirstCategoryId":"88","ListUrlMain":"https://doi.org/10.1103/physrevmaterials.8.084801","RegionNum":3,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATERIALS SCIENCE, MULTIDISCIPLINARY","Score":null,"Total":0}
Influence of Nb alloying on Nb recrystallization and the upper critical field of Nb3Sn
conductors are important candidates for high-field magnets for particle accelerators, and they continue to be widely used for many laboratory and nuclear magnetic resonance magnets. However, the critical current density, , of present conductors declines swiftly above 12–15 T. State-of-the-art Ta- and Ti-doped strands exhibit upper critical field, , values of ∼24–26.5 T (4.2 K) and do not reach the Future Circular Collider target , which serves as the present stretch target for development. As recently demonstrated, to meet this goal requires enhanced vortex pinning but an independent and supplementary approach is to significantly enhance . In this study, we have arc melted multiple Nb alloys with added Hf, Zr, Ta, and Ti and drawn them successfully into monofilament wires to investigate the possibilities of enhancement through alloying. was measured for all samples in fields up to 16 T and some up to 31 T. We have found that all alloys show good agreement with the standard Werthamer, Helfand, and Hohenberg fitting procedure without the need to adjust the paramagnetic limitation parameter (α) and spin-orbit scattering parameter . The evaluation of near , which is proportional to the electronic specific heat coefficient γ and the normal state resistivity , allows a better understanding of the induced disorder introduced by alloying in the A15 phase. So far, we have observed that Hf alloying of pure Nb can enhance by 3–4 T to ∼28 T, while adding just Hf or Zr into a Nb-4 at. % Ta base alloy can raise to ∼31 T. Very importantly we find that Hf and Zr raise the alloy recrystallization temperature above the usual A15 reaction temperature range of , thus ensuring denser A15 phase nucleation in the Nb alloy grain boundaries, possibly leading to a more homogeneous A15 phase Sn content and refined A15 grain size. The potential for further advancements in properties is explored in relation to the recrystallization of the Nb alloy and the factors controlling the upper critical field.
期刊介绍:
Physical Review Materials is a new broad-scope international journal for the multidisciplinary community engaged in research on materials. It is intended to fill a gap in the family of existing Physical Review journals that publish materials research. This field has grown rapidly in recent years and is increasingly being carried out in a way that transcends conventional subject boundaries. The journal was created to provide a common publication and reference source to the expanding community of physicists, materials scientists, chemists, engineers, and researchers in related disciplines that carry out high-quality original research in materials. It will share the same commitment to the high quality expected of all APS publications.