Correction to: Nature https://doi.org/10.1038/s41586-021-03687-wPublished online 11 August 2011
In the original version of this Article, in the fifth paragraph of the section titled “Qneo for W7-X discharge 20180918.045,” errors appeared in reference to the configurations shown in the curves of Fig. 3a and associated Fig. 3b−e panels. In the sentence originally reading “This comparison is provided in Fig. 3a for the configurations (Fig. 3b) W7-X standard, (Fig. 3c) W7-X high-mirror, (Fig. 3d) LHD R0 = 3.6 m, and (Fig. 3e) LHD R0 = 3.75 m....,” the references to Fig. 3b−e should instead have referred to the lettered curves “b,c,d,e” shown in the graph of Fig. 3a. The text has now been amended to read: “This comparison is provided in Fig. 3a for the configurations (b) W7-X standard, (c) W7-X high-mirror, (d) LHD R0 = 3.6 m, and (e) LHD R0 = 3.75 m….”
Additionally, a member of the W7-X Team was incorrectly listed as “M. Sanchez”; their name has been corrected to “E. Sánchez.”
The original Article has been corrected online.
Author information
U. Hergenhahn
Present address: Fritz-Haber-Institut der Max-Planck-Gesellschaft, Berlin, Germany
Authors and Affiliations
Max-Planck-Institut für Plasmaphysik, Greifswald, Germany
C. D. Beidler, H. M. Smith, T. Andreeva, J. Baldzuhn, M. N. A. Beurskens, M. Borchardt, S. A. Bozhenkov, K. J. Brunner, H. Damm, M. Drevlak, O. P. Ford, G. Fuchert, J. Geiger, P. Helander, U. Hergenhahn, M. Hirsch, U. Höfel, R. Kleiber, M. Krychowiak, S. Kwak, A. Langenberg, H. P. Laqua, U. Neuner, E. Pasch, A. Pavone, T. S. Pedersen, K. Rahbarnia, J. Schilling, E. R. Scott, T. Stange, J. Svensson, H. Thomsen, Y. Turkin, F. Warmer, R. C. Wolf, D. Zhang, I. Abramovic, S. Äkäslompolo, J. Alcusón, P. Aleynikov, K. Aleynikova, A. Ali, J. P. Bähner, M. Banduch, A. Benndorf, C. Biedermann, M. Blatzheim, T. Bluhm, D. Böckenhoff, L.-G. Böttger, H.-S. Bosch, R. Brakel, C. Brandt, T. Bräuer, H. Braune, K.-J. Brunner, R. Burhenn, R. Bussiahn, B. Buttenschön, V. Bykov, A. Carls, N. Chaudhary, M. Cole, M. Czerwinski, S. Degenkolbe, C. P. Dhard, A. Dinklage, P. Drewelow, G. Ehrke, M. Endler, J. Fellinger, Y. Feng, B. Geiger, D. Gradic, M. Grahl, H. Grote, O. Grulke, P. Hacker, D. Hartmann, D. Hathiramani, B. Hein, P. Helander, S. Henneberg, U. Hergenhahn, A. Hölting, Z. Huang, M. Jakubowski, H. Jenzsch, J.-P. Kallmeyer, U. Kamionka, C. Killer, T. Klinger, J. Knauer, A. Könies, R. König, P. Kornejew, J.-P. Koschinsky, R. Krampitz, J. Krom, G. Kühner, P. A. Kurz, H. Laqua, R. Laube, C. Li, J.-F. Lobsien, J. Loizu Cisquella, A. Lorenz, H. Maaßberg, S. Marsen, M. Marushchenko, P. McNeely, A. Mishchenko, B. Missal, A. Mollen, T. Mönnich, D. Moseev, M. Nagel, D. Naujoks, H. Niemann, T. Nishizawa, C. Nührenberg, J. Nührenberg, J. W. Oosterbeek, M. Otte, N. Panadero, T. S. Pedersen, V. Perseo, D. Pilopp, S. Pingel, G. Plunk, A. Puig Sitjes, F. Purps, F. Reimold, J. Riemann, K. Risse, D. Rondeshagen, P. Rong, L. Rudischhauser, K. Rummel, T. Rummel, A. Runov, N. Rust, J. Schacht, F. Schauer, G. Schlisio, M. Schneider, W. Schneider, P. Scholz, M. Schröder, T. Schröder, R. Schroeder, B. Shanahan, P. Sinha, C. Slaby, A. Spring, U. Stridde, H. Trimino Mora, I. Vakulchyk, S. Valet, P. van Eeten, H. Viebke, R. Vilbrandt, A. von Stechow, A. Vorköper, F. Wagner, Z. Wang, L. Wegener, T. Wegner, G. Weir, J. Wendorf, U. Wenzel, A. Werner, F. Wilde, T. Windisch, M. Winkler, A. Winter, R. C. Wolf, P. Xanthopoulos, M. Zanini, J. Zhu & A. Zocco
Laboratorio Nacional de Fusion, CIEMAT, Madrid, Spain
A. Alonso, A. Alonso, E. Ascasibar, E. Blanco, I. Calvo, A. Cappa, F. Castejon, A. de la Pena, H. Esteban, T. Estrada, J. Fontdecaba, J. García Regaña, C. Guerard, J. Hernandez Sanchez, C. Hidalgo, D. Loesser, K. McCarthy, L. Pacios Rodriguez, N. Panadero Alvarez, E. Sánchez, B. van Milligen, J.-L. Velasco & H. Zhang
Laboratory for Plasma Physics (LPP), École royale militaire/Koninklijke Militaire School (ERM/KMS), Brussels, Belgium
Ye. O. Kazakov, F. Durodie, A. Goriaev, J. Ongena, B. Schweer, M. Vergote, M. Vervier & T. Wauters
Princeton Plasma Physics Laboratory, Princeton, NJ, USA
N. A. Pablant, D. Gates, B. Israeli, S. Langish, S. Lazerson, D. Mikkelsen, J. Mittelstaedt, H. Neilson, A. Reiman, M. Sibilia & M. Zarnstorff
Wigner Research Centre for Physics, Budapest, Hungary
G. Anda, G. Cseh, T. Ilkei, G. Kocsis, G. Náfrádi, S. Récsei, V. Szabó, T. Szabolics, T. Szepesi, Z. Szökefalvi-Nagy, S. Tulipán, L. Vanó & S. Zoletnik
Massachusetts Institute of Technology, Cambridge, MA, USA
S. G. Baek, S. Ballinger, E. Edlund, M. Porkolab, J. Terry & A. White
Max Planck Institute for Plasma Physics, Garching, Germany
M. Balden, B. Böswirth, J. Boscary, M. Dibon, S. Elgeti, H. Frerichs, H. Greuner, B. Heinemann, P. Junghanns, P. Lang, M. Mayer, B. Mendelevitch, R. Neu, R. Nocentini, S. Obermayer, G. Orozco, P. Pölöskei, R. Riedl, V. Rohde, R. Stadler, J. Tretter, A. J. van Vuuren & M. Zilker
University of Wisconsin Madison, Madison, WI, USA
T. Barbui, F. Effenberg, E. Flom, J. Green, T. Kremeyer, O. Schmitz, L. Stephey & V. Winters
Institute for Energy and Climate Research – Plasma Physics, Research Center Jülich, Jülich, Germany
W. Behr, W. Biel, V. Borsuk, S. Brezinsek, J. Cai, A. Charl, J. Coenen, G. Czymek, T. Dittmar, P. Drews, A. Freund, Y. Gao, X. Han, M. Henkel, K. P. Hollfeld, D. Höschen, M. Hubeny, M. Jia, A. Kirschner, M. Knaup, A. Knieps, A. Krämer-Flecken, M. Lennartz, C. Li, Y. Li, Y. Liang, C. Linsmeier, S. Liu, O. Marchuk, P. Mertens, O. Neubauer, D. Nicolai, G. Offermanns, J. Ölmanns, M. Rack, D. Reiter, G. Satheeswaran, F. Schluck, H. Schmitz, S. Sereda, J. Thomas, B. Unterberg, E. Wang, N. Wang & Y. Wei
The Australian National University, Canberra, Australian Capital Territory, Australia
B. Blackwell, J. H. Matthew & A. Wright
Technical University of Denmark, Kongens Lyngby, Denmark
L.-G. Böttger, O. Grulke, S. K. Nielsen, M. Salewski, M. Stejner & A. Tancetti
Eindhoven University of Technology, Eindhoven, Netherlands
H. Brand, J. Howard, S. Paqay, J. Proll & M. Zuin
University of Cagliary, Cagliari, Italy
B. Cannas & F. Pisano
Consorzio RFX, Padova, Italy
L. Carraro & N. Vianello
Instituto de Plasmas e Fusao Nuclear, Lisbon, Portugal
B. Carvalho
CEA Cadarache, Saint-Paul-lez-Durance, France
D. Chauvin, A. da Silva, H. Fernandes, B. Goncalves, A. Grosman, M. Houry, V. Moncada, T. Ngo, S. Renard & J. M. Travere
Ioffe Physical-Technical Institute of the Russian Academy of Sciences, St Petersburg, Russian Federation
F. Chernyshev
Oak Ridge National Laboratory, Oak Ridge, TN, USA
M. Cianciosa, M. J. Cole, J. H. Harris, J. Lore, A. Lumsdaine & D. A. Spong
University of Salerno, Fisciano, Italy
R. Citarella & V. Giannella
ENEA Centro Ricerche Frascati, Frascati, Italy
G. Claps & F. Cordella
Institute of Plasma Physics and Laser Microfusion, Warsaw, Poland
A. Czarnecka, W. Figacz, T. Fornal, A. Galkowski, M. Gruca, S. Jablonski, J. Kacmarczyk, N. Krawczyk, M. Kubkowska, G. Pelka & L. Ryc
University of Szczecin, Szczecin, Poland
K. Czerski & M. Sleczka
University of Milano-Bicocca, Milan, Italy
A. da Molin
Auburn University, Auburn, AL, USA
D. Ennis, D. Maurer, J. Schmitt & P. Traverso
Karlsruhe Institute of Technology, Eggenstein-Leopoldshafen, Germany
W. H. Fietz, G. Gantenbein, M. Huber, H. Hunger, S. Illy, J. Jelonnek, T. Kobarg, R. Lang, W. Leonhardt, M. Losert, A. Meier, D. Mellein, D. Papenfuß, A. Samartsev, T. Scherer, A. Schlaich, W. Spiess, M. Thumm, S. Wadle & J. Weggen
National Institute for Fusion Science, Toki, Japan
T. Funaba, X. Huang, K. Ida, H. Kasahara, N. Kenmochi, S. Masuzaki, T. Morisaki, K. Ogawa, B. Peterson, S. Ryosuke, R. Sakamoto, S. Satake, C. Suzuki, N. Tamura, H. Tsuchiya, T. Tsujimura, H. Yamada, I. Yamada, R. Yasuhara & M. Yokoyama
Universidad Carlos III de Madrid, Madrid, Spain
A. Gogoleva & L. Vela
Greifswald University, Greifswald, Germany
P. Helander, T. Klinger & T. S. Pedersen
Institute for Surface Process Engineering and Plasma Technology, University of Stuttgart, Stuttgart, Germany
T. Jesche, W. Kasparek, M. Krämer, C. Lechte, B. Plaum, F. Remppel, H. Röhlinger, B. Roth, K.-H. Schlüter, S. Wolf & A. Zeitler
Austrian Academy of Science, Vienna, Austria
F. Köchl & R. Schrittwieser
Institute for Nuclear Research, Kiev, Ukraine
Y. Kolesnichenko & V. Lutsenko
Technical University of Berlin, Berlin, Germany
F. Köster & R. C. Wolf
University of Opole, Opole, Poland
I. Ksiazek & E. Pawelec
Aalto University, Espoo, Finland
T. Kurki-Suonio & S. Sipliä
University of Maryland, College Park, MA, USA
M. Landreman
Physikalisch Technische Bundesanstalt (PTB), Braunschweig, Germany
A. Lücke, H. Schumacher & B. Wiegel
Kyoto University, Kyoto, Japan
T. Mizuuchi, S. Murakami & F. Sano
Istituto di Fisica del Plasma “Piero Caldirola”, Milan, Italy
M.-E. Puiatti & M. Romé
Culham Centre for Fusion Energy, Abingdon, UK
S. Schmuck
Los Alamos National Laboratory, Los Alamos, NM, USA
G. Wurden
- C. D. Beidler
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Consortia
the W7-X Team
- I. Abramovic
- , S. Äkäslompolo
- , J. Alcusón
- , P. Aleynikov
- , K. Aleynikova
- , A. Ali
- , A. Alonso
- , G. Anda
- , T. Andreeva
- , E. Ascasibar
- , J. P. Bähner
- , S. G. Baek
- , M. Balden
- , J. Baldzuhn
- , M. Banduch
- , T. Barbui
- , W. Behr
- , C. D. Beidler
- , A. Benndorf
- , M. N. A. Beurskens
- , C. Biedermann
- , W. Biel
- , B. Blackwell
- , E. Blanco
- , M. Blatzheim
- , S. Ballinger
- , T. Bluhm
- , D. Böckenhoff
- , B. Böswirth
- , L.-G. Böttger
- , M. Borchardt
- , V. Borsuk
- , J. Boscary
- , H.-S. Bosch
- , S. A. Bozhenkov
- , R. Brakel
- , H. Brand
- , C. Brandt
- , T. Bräuer
- , H. Braune
- , S. Brezinsek
- , K.-J. Brunner
- , R. Burhenn
- , R. Bussiahn
- , B. Buttenschön
- , V. Bykov
- , J. Cai
- , I. Calvo
- , B. Cannas
- , A. Cappa
- , A. Carls
- , L. Carraro
- , B. Carvalho
- , F. Castejon
- , A. Charl
- , N. Chaudhary
- , D. Chauvin
- , F. Chernyshev
- , M. Cianciosa
- , R. Citarella
- , G. Claps
- , J. Coenen
- , M. Cole
- , M. J. Cole
- , F. Cordella
- , G. Cseh
- , A. Czarnecka
- , K. Czerski
- , M. Czerwinski
- , G. Czymek
- , A. da Molin
- , A. da Silva
- , H. Damm
- , A. de la Pena
- , S. Degenkolbe
- , C. P. Dhard
- , M. Dibon
- , A. Dinklage
- , T. Dittmar
- , M. Drevlak
- , P. Drewelow
- , P. Drews
- , F. Durodie
- , E. Edlund
- , F. Effenberg
- , G. Ehrke
- , S. Elgeti
- , M. Endler
- , D. Ennis
- , H. Esteban
- , T. Estrada
- , J. Fellinger
- , Y. Feng
- , E. Flom
- , H. Fernandes
- , W. H. Fietz
- , W. Figacz
- , J. Fontdecaba
- , O. P. Ford
- , T. Fornal
- , H. Frerichs
- , A. Freund
- , G. Fuchert
- , T. Funaba
- , A. Galkowski
- , G. Gantenbein
- , Y. Gao
- , J. García Regaña
- , D. Gates
- , B. Geiger
- , J. Geiger
- , V. Giannella
- , A. Gogoleva
- , B. Goncalves
- , A. Goriaev
- , D. Gradic
- , M. Grahl
- , J. Green
- , H. Greuner
- , A. Grosman
- , H. Grote
- , M. Gruca
- , O. Grulke
- , C. Guerard
- , P. Hacker
- , X. Han
- , J. H. Harris
- , D. Hartmann
- , D. Hathiramani
- , B. Hein
- , B. Heinemann
- , P. Helander
- , S. Henneberg
- , M. Henkel
- , U. Hergenhahn
- , J. Hernandez Sanchez
- , C. Hidalgo
- , M. Hirsch
- , K. P. Hollfeld
- , U. Höfel
- , A. Hölting
- , D. Höschen
- , M. Houry
- , J. Howard
- , X. Huang
- , Z. Huang
- , M. Hubeny
- , M. Huber
- , H. Hunger
- , K. Ida
- , T. Ilkei
- , S. Illy
- , B. Israeli
- , S. Jablonski
- , M. Jakubowski
- , J. Jelonnek
- , H. Jenzsch
- , T. Jesche
- , M. Jia
- , P. Junghanns
- , J. Kacmarczyk
- , J.-P. Kallmeyer
- , U. Kamionka
- , H. Kasahara
- , W. Kasparek
- , Ye. O. Kazakov
- , N. Kenmochi
- , C. Killer
- , A. Kirschner
- , R. Kleiber
- , T. Klinger
- , J. Knauer
- , M. Knaup
- , A. Knieps
- , T. Kobarg
- , G. Kocsis
- , F. Köchl
- , Y. Kolesnichenko
- , A. Könies
- , R. König
- , P. Kornejew
- , J.-P. Koschinsky
- , F. Köster
- , M. Krämer
- , R. Krampitz
- , A. Krämer-Flecken
- , N. Krawczyk
- , T. Kremeyer
- , J. Krom
- , M. Krychowiak
- , I. Ksiazek
- , M. Kubkowska
- , G. Kühner
- , T. Kurki-Suonio
- , P. A. Kurz
- , S. Kwak
- , M. Landreman
- , P. Lang
- , R. Lang
- , A. Langenberg
- , S. Langish
- , H. Laqua
- , H. P. Laqua
- , R. Laube
- , S. Lazerson
- , C. Lechte
- , M. Lennartz
- , W. Leonhardt
- , C. Li
- , C. Li
- , Y. Li
- , Y. Liang
- , C. Linsmeier
- , S. Liu
- , J.-F. Lobsien
- , D. Loesser
- , J. Loizu Cisquella
- , J. Lore
- , A. Lorenz
- , M. Losert
- , A. Lücke
- , A. Lumsdaine
- , V. Lutsenko
- , H. Maaßberg
- , O. Marchuk
- , J. H. Matthew
- , S. Marsen
- , M. Marushchenko
- , S. Masuzaki
- , D. Maurer
- , M. Mayer
- , K. McCarthy
- , P. McNeely
- , A. Meier
- , D. Mellein
- , B. Mendelevitch
- , P. Mertens
- , D. Mikkelsen
- , A. Mishchenko
- , B. Missal
- , J. Mittelstaedt
- , T. Mizuuchi
- , A. Mollen
- , V. Moncada
- , T. Mönnich
- , T. Morisaki
- , D. Moseev
- , S. Murakami
- , G. Náfrádi
- , M. Nagel
- , D. Naujoks
- , H. Neilson
- , R. Neu
- , O. Neubauer
- , U. Neuner
- , T. Ngo
- , D. Nicolai
- , S. K. Nielsen
- , H. Niemann
- , T. Nishizawa
- , R. Nocentini
- , C. Nührenberg
- , J. Nührenberg
- , S. Obermayer
- , G. Offermanns
- , K. Ogawa
- , J. Ölmanns
- , J. Ongena
- , J. W. Oosterbeek
- , G. Orozco
- , M. Otte
- , N. A. Pablant
- , L. Pacios Rodriguez
- , N. Panadero
- , N. Panadero Alvarez
- , D. Papenfuß
- , S. Paqay
- , E. Pasch
- , A. Pavone
- , E. Pawelec
- , T. S. Pedersen
- , G. Pelka
- , V. Perseo
- , B. Peterson
- , D. Pilopp
- , S. Pingel
- , F. Pisano
- , B. Plaum
- , G. Plunk
- , P. Pölöskei
- , M. Porkolab
- , J. Proll
- , M.-E. Puiatti
- , A. Puig Sitjes
- , F. Purps
- , M. Rack
- , K. Rahbarnia
- , S. Récsei
- , A. Reiman
- , F. Reimold
- , D. Reiter
- , F. Remppel
- , S. Renard
- , R. Riedl
- , J. Riemann
- , K. Risse
- , V. Rohde
- , H. Röhlinger
- , M. Romé
- , D. Rondeshagen
- , P. Rong
- , B. Roth
- , L. Rudischhauser
- , K. Rummel
- , T. Rummel
- , A. Runov
- , N. Rust
- , L. Ryc
- , S. Ryosuke
- , R. Sakamoto
- , M. Salewski
- , A. Samartsev
- , E. Sánchez
- , F. Sano
- , S. Satake
- , J. Schacht
- , G. Satheeswaran
- , F. Schauer
- , T. Scherer
- , J. Schilling
- , A. Schlaich
- , G. Schlisio
- , F. Schluck
- , K.-H. Schlüter
- , J. Schmitt
- , H. Schmitz
- , O. Schmitz
- , S. Schmuck
- , M. Schneider
- , W. Schneider
- , P. Scholz
- , R. Schrittwieser
- , M. Schröder
- , T. Schröder
- , R. Schroeder
- , H. Schumacher
- , B. Schweer
- , E. R. Scott
- , S. Sereda
- , B. Shanahan
- , M. Sibilia
- , P. Sinha
- , S. Sipliä
- , C. Slaby
- , M. Sleczka
- , H. M. Smith
- , W. Spiess
- , D. A. Spong
- , A. Spring
- , R. Stadler
- , T. Stange
- , M. Stejner
- , L. Stephey
- , U. Stridde
- , C. Suzuki
- , J. Svensson
- , V. Szabó
- , T. Szabolics
- , T. Szepesi
- , Z. Szökefalvi-Nagy
- , N. Tamura
- , A. Tancetti
- , J. Terry
- , J. Thomas
- , H. Thomsen
- , M. Thumm
- , J. M. Travere
- , P. Traverso
- , J. Tretter
- , H. Trimino Mora
- , H. Tsuchiya
- , T. Tsujimura
- , S. Tulipán
- , Y. Turkin
- , B. Unterberg
- , I. Vakulchyk
- , S. Valet
- , L. Vanó
- , P. van Eeten
- , B. van Milligen
- , A. J. van Vuuren
- , L. Vela
- , J.-L. Velasco
- , M. Vergote
- , M. Vervier
- , N. Vianello
- , H. Viebke
- , R. Vilbrandt
- , A. von Stechow
- , A. Vorköper
- , S. Wadle
- , F. Wagner
- , E. Wang
- , N. Wang
- , Z. Wang
- , F. Warmer
- , T. Wauters
- , L. Wegener
- , J. Weggen
- , T. Wegner
- , Y. Wei
- , G. Weir
- , J. Wendorf
- , U. Wenzel
- , A. Werner
- , A. White
- , B. Wiegel
- , F. Wilde
- , T. Windisch
- , M. Winkler
- , A. Winter
- , V. Winters
- , S. Wolf
- , R. C. Wolf
- , A. Wright
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Correspondence to C. D. Beidler.
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Beidler, C.D., Smith, H.M., Alonso, A. et al. Publisher Correction: Demonstration of reduced neoclassical energy transport in Wendelstein 7-X. Nature 598, E5 (2021). https://doi.org/10.1038/s41586-021-04023-y
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DOI: https://doi.org/10.1038/s41586-021-04023-y
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