Simulaciones computacionales de defectos puntuales en metales de interés en fusión nuclear

Fernández-Pello Lois, Dario; Universidad de Oviedo
Simulaciones computacionales de defectos puntuales en metales de interés en fusión nuclear

Author: Fernández-Pello Lois, Dario
Publisher: Universidad de Oviedo
Year: 2021
Source: https://digibuo.uniovi.es/dspace/bitstream/10651/60405/1/TD_DarioFernandezPelloLois.pdf
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l+M9DsYAHLFKDFu+NUVm2YRCvTfgz32NishJV9mKi4r2e6FK8tyX3L75Zxv0dmzCMfwPFvSXTAHicVVR5UNZVFD33vvd+HyHSVC5AluLCJGQmjpmjg0upLYDiSgaSJQNoiriMmIjigkuuDJLgNuYCaqI5H4Sk5Z6NAqbmVoFiBjop1ExaLr/X1fqjvjNv3nzv995995537jHlCDTlCDKFCNQhCABsnYz6R7ObYuvlW+CjmW8CKPt3AEXYRSnYha9xmBrl1G7sgxcn0BKvYx0ykIuFcDBKVhZjiMDIei4FWi86YxOUjArZOxKZKEcLCrA3MBsL1Fk5tQBN0RZ9MRipWEaRdhriUKPnoTsiMRGTaI6Ntcttjt2CrdinTtiHaIIgfCCosLfNRfsjOsmJ1chHDeU8UYI+cssc2bkek1Gg4jXZJHtPMgjGdMlBIwoVdJDDJHoi6iiAMtRrEmWz3WOPyq5WiEcyClBO3WggB5s4G2Ur0ELuSJeo+diLUkEZDuAy+ZlGu8U2IhAv4k2px4tKOqjch1lub2HMCEsd0UO+pOIrfIPT1I4OcarxM+Gmj/nInkMzdMFwybZQTv5CdzlTMFsd1wNsP/gLL6sesY1juEpB1JkG0QjuyKm8QU2Gj9zYRTAWKcL3GoleTWFUyn5cpTbrnfq+85x7xfrLi4RgLdbjEDWVStvQFJpL5+kav8YJvJZrVa7ers94xkjVozEBy7ATd+lpepVi6F1KpgxaSKsonyroNNVzXx7G47lBJas0dUD3EwzVU/Q8k20+durdWPeo+51714bbbMSIHrIk+9XYIJXtQxUuCWpQS4aakL+gDQXTcJopyKRl9CkV0Xbyyi2nqZZu0O/0B91nCBx+loO5raAdT+bpnMvruEpwmn/lv1RL1VaFqW6ql3pHpUpWC9VKQYm6qoN0lbbCc7jJMxtNkdlpDptGx88z1wc+px5sfhj6sNqFu8jNc/e6XnsVzeUNg4SF1ugl2Y8RjJP3zhPF7cZZ8hPugiiUIihSmEmgcZRG6cLkfCqgrY9zL6b9wtIFapCcm3Krxzm/xN24Hw8SjOZETuOVnMNePs/3lEc1UU+q5ipUDVTxKlFNVTNUntqjTqmfVK26ox4IrPbVrXVbHaLD9ECdoKfpDbpO15k4c9Jcd3ydCU62U+b85nnFE+EZ7InxxHtWeEo953zeE3UeQQm+wH9+dEVlqf6qBMu5qw7kSq4UPSdgrIpiUSoX0SKeRV5ub9KdntyTotGoQ4Tr47yR73BPFUVv01CM4y7/RHOa6R0y9dJHcEvvl9oqJXK640eZ3OD4YS+Be8idx9TLOkydxGVVQx69CT9oX2pJt7hQDRYVHNARJhbBah2KVRrNQgn3B3zv+ywVHUfTDvGFYRROfyoLxdGiou7qGuZhPF/ELenjRfiExuokLEdXykAdtklXdDQTnVCnOX3LKXoJP0NesN4u1fWg9qRMM8yneFXgNPAlTEOV9kW1+kyyr+JiFaUbzRBKlg6YhWyk2SzMMLH6DCVB0Qh00FfE3TJUuA6Weba4Spx4Wql0d7n4QF8VJSsBopxI0cVwcYgCwRrxCS0KSpEeHykuVgmvM4zLkGT8SVwH0CfdIRhltyHfJmGizUEn8YOFNkMiFuE6VqCIFrgzMQnPS+dUU6QZwFVmgO3ES/gSD+W8/7+vsN2BAnBTUCx/IsyXWKIvYCh626X2e1H3C+Kw+Xgfb+FnqfK23PCGOoiubjR/bgeoSVJvDWJsoW1Nvki2H2IQ9mOrx2CMJ0zeeA+dkXpnIpGH2Kkq0U0RHlYIC32ErWniP4vNU38Do+S9DQAAAAAsACwALAAsAFAAbgFMAboCagLAA9oECATeBXwGIAaCBt4HUAeWCSwKAgqGC9wNYg7MD7wQlhFwElAS+hPyFGwU6hYCFuYXyBiqGS4bAhuUHGQdWB14HZQdsB3WHf4eGh4wHsofDB9OH8J4nJV7CXwURdp3VfV9Ts99JjOTOXJMIJBMEgYiaeUQuZVDAhlBEeUUAogXLGFVQMUVdb0vvEVluQIEdNessrgevLDrtbq68O4GPKO8mpdVIJOvqnoGo37f77ffJFP9dE8fVc/5f56qBggMBwBdzk0BDBBA/+0QVDXsENiyrurtPPdxww4GYRJsZ8hhjhzeIfAVZxp2QHK8xh61J6L26HAUycXh/bm53JRTLwxnDwIAIDgXtqP5aBG+b6XpX4KWMGgcHIcQjAEU4JbgE/zsktt9qfFGZ9Y4DqrGdQ0cAFpg1lkbdZ+LymH7rl2A3mcfbtaBg/g+CdOHGoCMGmaCxWA12ArYTfj3Tezj9/tSxslstgs04pvU1Na49x08iDuBwJTeT1k71wEMUASnbEdo2ORpphwoZjlXsaZ5pfbez9psNjSFEKZf0zBlByo5AjyqiluVHANVqVTqIG4O4vuTJwS387+8Uze+E0/udLxN0yjxtelXFJ7c0iBHgKGqpCXHzt7yx3u28RG/EWrvPbEDRZQ/9B4FHvx14K+t96h5GcuvQ+uV9bY3dE4SFB8a4RzrHu0fFpzsbHY3+y8KLhAWKLOdC90L/LOC16Fr+BXK9bZ1/P3CvcYbvo/Q+/z7yt9tgbPdXSaZ0Vh6gASBZEhI2hi2LwPtvR2mjo9GgIkZt7H49dsoU1NduGlJdeW7CbMtIAsGkQ/E36Ymp+Goq6kuhg63gfhYSWnSaXhqquvsRjJWIvBTFryzacWO5efNf+fxd6+7c+/mlSs3b/7VytFZ9A5k4TkvztyZ6/0ol8u9tuX+PfCR3H3fnIBz4fyv560lcj+CBXgay04GW80IY2r29AJ2NboDPSCyL7JQAjyHGImDKoJvyrT3MhkTgBF8bXvv0TbDwKJr7/3CtFOBhqhAdSpQzGXTT8RVkAmVT0DlTM2W5gqcGMDBCGdyiPMr+2ADvBlYytqSwnxJWR+80zCupwE0Nnoz0J4h/AHZVDRm16FQOxTW16DTbee+M/m+f1YtZ28YujL8u/PfnEn0MgAAa3D78Ng0mDTrHNPUueqD6mb1DZUby4zVfssyDohEoPKMwMkKIwAVa+KbDOtiGJbRAFI1VmBeQi8BESC4yZQBy+JTwJsy246u2MNxslkUTssFLsiWUlLia6qdcjusNzXBLImlhdZorbDRhsioFc2VBshAEcQgcjG5BhOdu8k1aJfeDjdsJ2rxFR45ZUI3YUKDcdygPDC6G0422DOYE45MZl3/FLvK2G+z2TBXhjVP2wu03n/scGS09t53TaUmw5T0yzBsUVEDuUUTZhs+x3SpppJRWydmVDOZUUtCeNsvQzndhN1MLayx17hjdsYO0b09N6FH7j5woC1XC2c+zew+M/rp3OOIRff0LMDyvxTz18M9CzSwxNT3a5DF/0hkJcy7dvSSOQBBVlK1ZQyDiCFMQDPRYjzkgE1cJn0JJsCZcCZiGvFmMVyNFdWPB34XGfh4ozvb0jCuu2u8cZJI3sBm0djQ05Cx0zHjgbZQ/8UDhhdidQFYfymza0Oua0ydbS/z6+9uYU9t2XBPzpE73f73LfAL+PrDBR/lx3peDCrg7yzPskcJ+yBI2H3tvSepW/ER/0KE4COqW0aU1mdXyQE71WC7z16ZUsqKbXpYn6Azuu4CEyGERKaaYeenQLY4pJUUuzhqxvtT2WpHpirbVU0lhd0Q8UTGwXcPGp/8ibg39LNOfEG9JCHMCqIT+NnEmv4fT/3ps372qKq+DzLTgwNjPWZshufi2BXMQs+iwJWx6wOrijcEbit+0LM58HLgC8/xyMmI8xzPo54tHmZw+eU8Kt2HnWIMO0VfNMJHyoon6DN1pOsh8kj4zkRi/WhuG+lEeB/MAAUOMu0+6u/wcHyGD/k2VsJ2OKgN7Eoss591e3bTjuwbU2fdXnfe8RHP15PtbOyiw8AiJr4PZHGkws6vvhjWVA9FtelSHcZK8BbUVHscduoKkzCNfSDvdhF/uGSLZ+Wlk1ZNrIN1Ly3afQYKB+7ouuH6/3nixY/QW08vv3bH5pWrHoeTjOuvGrv6b0tU39QFUPzbEWg8mPtX7tvcp7mdv3uFST+0e//DG7ZuJTqzFzvItWySxuxBZoTlAC9IiG9gmQbIszhCVoFGgIgnfFyk0RHrLdHVLqOLygH/DxzgxIGSwd+9OFgyTQcPnnkWB03U2wMA14R9kwB0eOVuqNsM6gS+bcsT31NFxES32UR0T1JJy9G2yhhgXCnOlWYZ65mNxhvcAb7DOGEoItcEp6KJxlxlm/Gd+p32nS6xKquxOqPIEseyqqaLvCComBZ5VYAAe+jvTRv12BFBdeGfEMOQY25yjImwqgtfJRVznFjMM3w7WmJKQFQ/NxFEaB9UAISK6VAjYI7AXDSRPcQeYZmNLGTbITSViWqHcERlNqpQJfuGTTgkoNVCq4CEu23vf2Bxy4+/+N+HORbwG1gLfI0Nga7GzgajC/+v4/qnUti7revvo1vKVOz51hn79+v796/jrC3WljHblEljthVfOH1aG2tjRGFf7wkAer8nStQEl7ZkrTgSgzUwxkQZZ5RJlvICg2r+gqZ98kLPQ49/CP/ngZEloRpu36mR8OXccDQd3rv3mttvs7DRFb2fciu4d0AReGfXbDS/CEECaSjCIJBmJqEioFqbDZaA5UWt4KaijeBB7gXmaW0v06a9rh0GnUXfFdl1R5G9qIip4MvsFaFI+Hxtquti91T/XG5B0Q2O2xwPMg/oD4aeg0+h5+zv6U7gAgHDZQRYrAP/2FGWoW6mX1nGsAHIBp3FKhMsZiUjaRsNkhHsDwJhbzIiQlElvRH9xbObqSdNZccRP4rbbgtd2L3Eg+LQQjBGKgWXQi/Pxkri2Kwc8Zpq1iv0x0bGI7fLQUyKbXv1nNxrx7pyHzy0FQ579WNYOeSVmlfv3vyv5kXH1z75T4QGfnP6j/Cqvx7DyO/oW/023fVE7ps7X8p9fuvLhHcIPIr1fDrWcxvm3jGzKhKGw8RQUTHWILtRbAMi7rQEwyZFhRESRiWZYkUfPULU303VPxAuMiIUdUTykOMkdZeUyMONU21Ul9t7/91GAQdRZZmCjmzxkGbfWUCRxcEkTxM0i/fId+CAYdeZdUxQEHmRE1mR5f2+gA/xiqzKmszwbo/L4/QwfJDxRqFDx41PDEWhR7ZHAeZjKlWBP2tgFsP1aq/H63G4XUhHsUS0uq5+KKxNJ0uTseij8IcXpv+qafmy8dffefDm3HaYufPpgSPG3bdw/Jbc29w+d9HYy3KH9j+by22+tHpL3cARnz9z/N8VxXjUT+BY+xnmowLuMd08VyyKggAYljBSlooVIApEP4oMR1qYzIyOyBENyQGNlf5jnp0q8OxEgWfqkBmWCuWZhiEY1aTuztRZpmF33WAQ3uFRu6P57xNs/MyjTOrMe8xN3L4tucYXc9oWYkfP4THcjMcggdvNFB3DHQI8Oww8hIcjGJUjFFD+g36bipU75M0w94vuy0Oa+3S/T/87LThBIs3P+/4c88mZY2hbz0TS78Fbeq6g9v8KbtbgfjPg7V2kn4iA152DzqEgdmdN2tr2G2Bty8qtbSxhbYuKra0vYIHeCs1IR7iN3FaOYSLYCd8BNoFtgK3CGcFEDMdPAM4RwQc3Aoaz0CIZsC/PiK8KjPi6wIiTpmF5cMqIJ9j3m/ooOkZ7O1qxm842tSxt6Mm7QYwlMQfIsGvsr7xKXB4e471YNhV4jBxYZKoQsUwxB8QIceboWdMmIOY/VqSTvzA+/hfGdzxraZDViaj73lfRX3FHvttC+X0/ALwN98VAnRZI2gtEPE4qcFHX7DRAYgZggiMJYBmhVAf5mbOpjAQwqpcUHYgSkhWe9FgxSC8V3Mvd5CzFAASs58fyfWEsZ9p+koiSrLGxo8M4fLjD7vBigEz9ZgoUEtOwQHnO05ahLUtbjrYijuZmjFCIKinDE74g/cdoLtNWKAR7kbAsTKgkTrgisiNtow2nMgDq2MRFbOtk4ORulKA3eQlNBQ7Mq6mmlrcGviAAelsAyVi6q7AhYKY3NjRYg8lao6EfQNuguRogm+hCQZFdoa5V/4xZqV6gXmBjytmEVqlPY2awK7Rr9XWaqCBOzGh1+gQ0hhkumOI47Txdvh89wNwr3Cs+xzwr8A5k0/UBHHJxHBIxhh7AiZgU1YtsF0ETwwdRlGQF67auG0ROsxytDuTYh57DqdrAHVxEbIcDTVmV5Iiprlagsg8PUocK/gW1Y9Ah2bAq2pYY0GhHU/dEuFlcK4fNBT230z4E678fY4vubIMPaxrFFZgOnN3pzGKUgdlg9PkLYOxB0Ma6VRRs4M3AAeBHUPF7oPaexjr4PgZu71NMMWabin8rw7+RjOv77bpMjuYTsHd3RzN6ZZQmYbvrM3p1PSV39cNH84lWqgmjEtCSJfgWGwD0eOvqYdQes8MYtN8P43DGAI8f51yQeyk3dWtuGrfv9Ld3jpr4EHPm1Ej2rdO17NHTEWorOLnhwsSnwlXbHQpN0J3utOhTPRjBEXQSJZSIgV1EEDHEE5HAMKLEIiQJIstEeJ4reBWOKCx1N5xlSziQmgGq0NmIAiPKRGWWskRpVThFxP6ZVgM0/LD/zFGzeUf9y9gsD+njsnDKSxwEhoVW0ktSXqy0DpLvYuTHUhlZBrgXML1H96j2tBjBDdbhpoEDSCDGUmgTzZEZPPyO3SMzolltkdUZocSfIXBqtx+T1RZJjsYoaSqxjKC78NdJ9rt3OzFZZJFFmHQT8vvt7rwEU7CP8WAh1kDsyrD0Hn6dQfteP5PDIlvDrsbiaj3dehYLsT1YVhrwgR1m5Rz7AhcaY4xxzTBmuFhFxRmeDrw+KxY6kqJMOCgaeV/SbQYJ48RAJADxf8Cn/f+GyF9GeH9fx0w983ijJUv2x3WdDZIUGpGKCwU2xRgYonLohxjWFDANKr9r3MK7mr7OvZFbD294+dHs2IE35W7h9umOObsXvZTr6XmRgRtWN9/o1iw83Yxz8S8xnh6A3GbpbGY2u4xZzrKJ0lomExrGXCCMLRoRHh4fWTqJaRKaiy4uu8Wpx0hqREYaLxCJApEsEKUFIkaZYJ1sEYkCkSwQpSRyjiRUmZaMozhTmqizpWPDEyOqpkemxqYkFirztQX6Fa45vuuU67XrbauMq+PLEmuZW5VbtFtttxs3x29M3KXda7vXXZyPB/2iSUcwGZCS5TAJQHnAwVYPTII5WPBav+uCtwRRMOHR+hWXJmCC83BEolZOV9xPKi72MBSdp3CKk8Xf/CYLibOu6rL+gma/RFzXFC6KEXRQFHiWQTxMxEvwMQyngv0CJhH4HVg7ujygH80YqCUbMAInwllwCdwIeZyVbzOd/cgjyaNxj0dLSVAOy0kFQtfRlHLSNY1cVx6oxmOCSQdxEeQnR0G9HGdTR8dkooX+gbMtsIjhFVYfnM+NJ3r1Y9phYPTRSZpuMiKchJBcDmISGy0g1b7CB2ZbcMKPcMJvYeZ4aX9MDIWk/JnPTdwur4f1FkO3i9QD4snmPdrMP69a/Pykic1DcgsvnHflr7797ZM/rOX22bZs3vZ4ZhD8cFrr9WtPP/J67rsH4AfGVbdffN6y4SOujHkvTdU/OWfxHy+f9/Ya/bbfrJkxoaZmQdmQXSuuPrRs+eeWrkrYv16AbdaJdpnlmBd+6FFQuaPcOQjWM4PEQdIgbbBe66h3yg5nxBFNO0ijt/ce3Ym3Wn4r5bfYjI+aCzHBkrMY0lwDr1FQki0XypQKPemoYweLgxVyx1HiZDYrNivT9cmOK+Ecdr64QJmnz3FczV4vEo28xnGNcy17q3CrfA/bLu5xHGDfED9g/yZ+qL/v+JT9TPxMP+6o5GllVsXwyPCQVhFJixXj+52EyCuuogK3y/DJdgxmSMjQCWXwAGlAlBGiDpiICwuHbIJmlhdESYI8xzKMYhhOm65p0DA0u8PpVDDPkKYwqlNWIG8gpyQ7nREguQCQGKRpEZVxqSojSxLDIOTUsKIBscoN3V5vIKKaKlLb4cw9EXmj3CEzcjts3zUTPYYQDvvtpsy3mcZE45DBGPgkU44Av8v9anTWc75Uanx3wD+uJ+s75u/KdmUxMX7EnOEUZ5IAb7XruHF9Yzwgo8lkbLZ1utHQIO7vuyHt/v37m6h/t/zfWbhEw7xCAoY/A3FI0X3BjINk6cGM09qwmI27gxmxJJjBsu/YESIAoMMMhzJOM5Rh8FfTPd4Gp8PjPUeUMMWwmFJIEOrvwPd0ZBS1KHoOBEXRBkUmFCKU6vTiY04vPkYohKnUTz6wD90EW7At1UiwxkIXmIpBUveAEqrPqZ9CeVJs4DBY+k5PD0qdyN0Rjg505zaiM+gPufVXN068GN7cM+7MD0jpVzuxOAdJ/Brd+xkbYoeCMlCP+pmVkiZV+LVARblWUYHBoLs+OLjigoqslq2Yr82rmDXgVm1t+YOehwKbNXdZoWBSSueACPWM//my3f6Xyvb7D5X91f1JmTjcA4uJ57ETp+hw/FjuqiVWM4VQYW/Yl6qsSGfYTOUF7KjKqWJT6gpxXmqFuk59Q/1B+yFlr0/rkDWq4mlvddTlm1m+uByVh6r0Rv0O/TG9V+ce07fq3+iMTuefdOLySMTQaaHBMPgpOq336jypB+t6iPG2o+d3++5xhUICICcFaAwdUSpXhxil/FLjUsDTcJuIxomTzIeorywcFWeJh8T7nXjwlOimXMDEx6ZCHhenD4qT3IPcON6OZph6qQmSRjKSHJDcmuQyWHGo78Wh6/3dlBiYodCrOJYekOnIoE0ZmPGSvp1L7uhN+Eqq4q/wh3gU5ht5xOtkpDydY+N9pD+8SjrDU1jA62S4PC1v8wMH9ZlywY47hWFYinjxrkISjbFZ6tgx4tA7U41dPZ3YgKoK57dYYStDQxZx6lQhSe0NtCSIo04SN15fR/5q06WkaiuUDkXUr3uKoMvjjSUZXtCRVcvFJzENl++dv/Xl85eNql3w0ZWwZsT61dcVbfNddfiW9c9PNCRvycsh72X7FzdXL5o394lk0Y1TRr5w8/g14126Fogn5Kv6ndPU4mu5bYx56ej+1544ffM5g+AnZSGjbFzVqFkzJpxzDcVka7FOE/xM5i5bzYcgp9riXC03guMaw9vCKBwuCdWEzgstCW8M84OdDZ6GwFjP2EBWzGrTbFnPJYH54kJtru0qz1WBjvCH6kfej/z/dH7l/cr/r6Kj4d6wP8JV2apcA7hGm8mNtU3kruA+Kvpf9pShGm6d5REIhrA9yu6QrvjihxVoKCbG2K0Ka1XEFKqlii+fvJ6kKTYmTlAtUgrToQqZRSISJEfMKiJRZTlGo4C1kDcFezVMAqEOiBHAJrgNnoBsGDbCCZCBpHZC1BYTZ8wiomCQKgukdQXoIMoCqbKQuNFGdIye6iGPhj7yXOgij4D+4vPr+5ZcqF4sbRhn9OAjOPj/eJBiAvxvz9AJHexb8YmgJRrDEJpMdCK3AWIlpQwO9DUUZ2Jlgf2ebVu6/bKtLWbu29+/vAClp9y54sWnr17xIrev53/vmHDHm8ty3+TefwTe+8qU2w6+dfiANT8+sfczpgv7rACcnp+ZTuurbdCmQFJuWQIYwDpCiuALsQrU3YJIxi/Q8Qt09kUwyPgFquUH3z1gYZn92WryJXMr50sqDIeGOYd5JzkneWc5Z3kfQg8xD2pPGU8FVFHzy/PRPGY+d7W6RGvVnlF3SbvlXarqwen1vxCjl8y0LbattjE2iN2Med0AWgOahbu1EWwCR8EJDD9sNgX82McQ7npcF6mPKgni8cWVVBhCAEnJnYjIpPIZRaUSoFK5IOSOHxJgWGgUkKCTkwSZnCRQFysMDKb355MALBfLAWSXjpkUG0OTW9jbMaipa2l3qmspHTs2eHumysh24n+K3LDkmqCX2Dewp8kstecsSiOyYxq2F33zu49y/176+S1bPg5v9a+evv75p26a/xt4s3fPIVgE5RchWrP18eCCha+98/6rvyY2ORLL7Ai2STtZT2A+JSNWS2hpbbjG1bpqQxejyfJFrkmhK9Hl3BxptmtWqCP8Lvee8xP/Mecx1zfeL/3HqO15wuFUgBjsmACxXqE/imv9PYNRrTYGjdBGui4IXSxP1a7UjvGfek7Bbt2AbkZXDBu2SUWwA2yUjOKrIXNztoRhHLZDw27aZ9lb7dg4iU5YJmp3ENux08BFjNXOEw2yU5O104SacNyuE47bCzUbO0HP59GJxeWO+CvCIeGI0CuwREQTBEYopipHfbVQbKkiFRsNTQKNQIK/OD2xb3W2ZVxXT1+zazAw5G7oJDJrIN8fLY3UHaK1fKyE4GpLYNjqoOtHS2MGzdm/+r2r579746x7q3b2RF68esXTz91w7eNrH91w+snHIHPrheci/dRI5Hj7zT8e+Ojt/URmY7AfLcZ25sYym2R6wyDkRlOYLJeVpihzmAXcYmmOIrpJJKTDxoR5EaGKQqQtdXzInXKdDLADHYP9A0PnOsYFzg1d6Gj2XxS61LEocGnoWv5a90l00mcAD7RpXu9EzyzPEg/jCdk2GpsMZBhsMCQLYB96nmhswZ91YGvAfDewddzjxNbjNTEM+5gmMFphkl4jGICwlCI0qbQivU2DWiBMSraJZJpszXNJqA3DsKfGiAtmvCJdkFSkj6RCVFKWgYWojDxUXlhSfb1iNjWupxOn2anUSZr1jLOmPrGDtCY/G3paGvKzh/mFDiSKLi2YmAFqqoHdJUTJnGgdjCZpIGUu2Vf59d7Pc99A18fvQR2e+UzecfPsDT0foQvVQVNvWbkZTvU+2QbD2N2rsCz3j9wPRmTrvrnwnrXD5j5D/aQTC7EV5+ReqJnFLgna/FX+AX7Tv8T/kPqwtlkTA1qZts3f4Wf9hCNlgXC6SNQY1RaSoRulXE6W4YH8mAu6ep0m602wgEF3QVok2jlwUJoWi1KhcHojgH6TGIrf1LChABctX5TR2kUJMR1QmS9ffJsvX7jy5YsvaOihhVu6qKS999QeCsae9PlfhvtAFJyEMsCZwMlUH0MgNaRuDP1xRtqVJTWNBlJ37sqQZSTDrjNdhp2XBF7EOMmQHEFg521BiGF0xZo1MIUtZWmNPVZbU5uuJwmoVyC8LoJkdcSOxx5zBm5cMbY5OKj6ouGHDjEPbmhZkB55seMReeSsyzacuQLbxHm5C5kvsE2QNQeLzVmKwrkqlYRrrDLCxUtF/qJKJemqjGWUOtdoZaRrqjBNmauckv/XrfePVZYOjQ0tHVu6sXJTpVAXrStvrBypjIyOKJ8cnVw+T5gdnV0+q7K18qPSz6Jfx74ptXs9vLsdbW8rCzkFGkuMCBhAI0kr6ACHAQavaJVZzYVCNnlESUiVPe6aRI2c8PkOe6HhNb2zvK1ethKzHE2ppI7NSx2b96xj81LH5vXQ30haSR0bOYsn+5Zj8xJgMJqovXe5DSZASTj+iu2Q7Yit18aGbY22CTjUUZuxBYhsbSXkbrYQuZONejcb9W42f6pyeZQ4OJzW/ejguruMn/m4ns6TDdh8OvOLBzobG/KLp1rCOOmxYGQpT9cMEE/nra2x05pB0tnH3V2xVaketnzVep8OV2z7+4mr/nL7y9c/M+fvm/7wxQPPrFr53Jbrr31uWuDCRPXl0+u33QYbPrkfwg33t56Z//2ha19gKv7S8crbrx14jfjA9diQGug8kQAOmpdIdWSkE6SN0iZpm9QhHZFOSAKQwtISqVV6LH/oqNQryWEJR3CBRYzEM7+CgOd4VuaFBAfYx9hN7Da2gz3K8h3sCRYBNsIexnssa2ExNIUlhT4vkQ1L4R4rk6ey1GrYgtWwBOQR/rJEQDLhMTtePH9in+ofhWp0gRE2D2umna5fgNmlLSm6iAFHifVtbW3sl4cOnXazydMfEb9xI27q6Zj/tZujA6aTXfWDrEmvdK21HTDQ2pZYk2Jmwu1N27gw9xh3hGMn4OYEx4S5JVwr18uxONmUEZOwnEd93nm4sRU+BmAHBkUIgAjW6aOABQUu0HInBa950Eu5kPcdYt5xWCzARG+hEprnBRjP/pQXhBkk2bEmyiDdIx8yW3VjG50yw2NfBwCfxPYdg6+Tsn93YRanu7A28W/mOEVLJ9hOtlP6b++xCPcedzKCvGIkJvmCEYlhYsUh3k3UX4B8LOA35MMJuDGxKYESXm9AT2y0QztL8YWPYguaWFJ84aIrg0gy7SUDtSOKMlSKMmhKaS/Ue+2FeSB7O8yaqi+xMQiD9HbBs7cL0tsFyVyandwuSIv1QQoT8dEcyWYxpZIbBwu5apDczwNQTSwBDwNIECsKg0YwAesCucaSBp14A0ahEE3WfOb9+ZmCP+82XdShW6KgCSnwxxPt8Nqd0fP7+oBCPtHT2SfF6JOc4p0eWvXBuQRx9FiVx2EYRJY8EIV2WC5fV13OpEu1B6FDcwchIEWTNflAS1a+EU/v8RJc5LbH7GkLyxIK+woduu3rHq9+Zv6K+8K/evPR53fGmocu+W3btMvHrhnMJu8ZP/Oyafu27u4pRY8snDn4nqd67kM7rr124oN39nyY1xfmONYXD1xlOjmGd6LnjHbjX8ynzhPMSSfPksp8A1aY6wx4v3HYd9TX62Mjokt3eRwhDmuIR5M1XdXjPpPohI+iUKWMzm+6CLMVIlA7TRapESgl9AzCYeqsFRfhON7/wRKoIuezx5MmzQUUs6Yu3atA/K+M9xGjC6Tr0tt8J3xoiW+Tb5uvw8f6GFTj9lDbPNlmt+enfs+aoPcXJliY9zlFwgimEJUym7fEDtOBn3kCM+esSY/30iVhZz/YCrsbaCWi71H86cJhndQmG7vsGZgXroe3S7IoCzLDG0mMxYPQJjvyQiaLM1oAViEi5Tqr7tBXxOueuPqTWY9PNOS2igWjlj3LJu/bOmLJuOpVPcvQ2qsWnXvX2z35NS3DMdYtxXLUgB8u2O32kbE4SYWLRjBilMsI5ac/OATZr57PjxKn8k3ilfw8UUwbgx2DPbW+EcYYxxjPCF8z1yxdZGQdWc9FvkXcIulyY5Fjkedy3zXQLfGcNoOZzE2WZ6gLmTncHHmhKntDrGDHTsMVD9JIHaSKIJxdhCvQ5COfuBaKBZSgeJQQRBKUyE9Ad5jOeCI9QIBAMIQIBrYDj2AvQY5fQKAvpvU4UHUC0hzUoGluDEJUwhTy5u2WeiCyrBu3Jr4lcQgIDAwQCEwW/J2VHQbA2ZPZbB9pFtY+k/yErFKVJnGTpMu4yyQWZpvoJJvTqMdiA1bZH/QN4cOfuuVPf4eeG7687Uiua++OdWt37Lx53Q7khKW/WZH7756DX/4aFkPt7bfe/suf3nqTynBdbh4bxTJ0gGJ4mfkb1ehnnGOMMdjGyLYICkfK1VhRtbu66LyiJZGNEXGwd3BwtHd0sEmcoTZ7m4PzxQXqPGORd0GwI/KO6xPfJ4F3ijtdncVHI70RT4xNGSl3LTvYGMmONqYbx5Qvi3KGYtdxukLKPbwnpCtA98cPy9CQTXmW3CqzESrEiJlfQHzcVIgoZV9+31pd0Xf23yr9yETbYnQdwHLorEE1jgQA//cqT6G4Y/Qp7hg/Ke6c/Hlxh5ZfsZukxZ3w+fU++JPqTqG48/PSDq3t2DN9KzvOvGMlkzZ02Wapnekjv3VPDb5r7vrD868+csP0O/rbn1lx7QvPLl+2PTeP+/2tF164off+J3Onbxs7uOc089TB/W+999abHxB/ejMW5AEsQzt4wxxS5YQGC2Nsmh3GTmKvYJezvGQXJVHSnHZJA4wIFcp8IEtlG0UolkSc0IlK7BbMMI2fu6E+yOJ7097HrfFU6X8Svyi38ssuaG0GjHecv/+n4Ar7sU4j272UrD4i3MkUlnAD4411Ol1wkF1KVo9ZjLJyDQG7pZufGDqvccYlQ887b8glrmI2+XjLqMHPlp7fOGtpz7vWHFVj72fMdsyHAYzXvIEtcZUMlkZLw+NTS+aUrJR+I90Uf8b5QuWrjCZ5Az7vgDGV73u5IJqCkFENZV+z2Cw1y81Ks9qszRfnS/Pl+cp8db7WlmwrtZHpt3h5XXy63KRcnry8bHlsebw1frf8sHpX2X2V9wx4St6sPln6VNnO5J+SnrIC8ikpELECES8Q9BzCp5ICESsQ8QJRRKZBHMWZ6WJpQpXZQCTpZpX+RQGS1pT4K2ntxd/on+Cf6d/qP+Tnbf6wf7H/iJ8N++/wI//vsXTcWDNoJcB0kdMNsuTEgIchAtCAZPlmx06XJ21VCHR7GsL+zUULi1BRyC2wVpGeAuvjBfB83HQSEbOh/ko4AANxv+n0pavJ5VU0l/VZLbEsP32nxR8hV/oj5Co/ra77aTXA345m7BDiFfjSXaHM4QpYQZ5CrqgovCZDCXIFJr6g7wRUBOijoqUV6VnVHdWosbq1GlWTqkYc+Cx8RZUuYnEZuxFCkA4QwnoHIxK3UWO30e7ZIjTxIlE5Qp5po6uS8ilYyREACYxDwD8wX7rA2Vfe7Lvw18CbpePzkwOpVEtqXB8MRuuEeNvY1UInBwh2JhO/ZGPNEOQnCHC0Nkv7FcdwUpy0Gw7DaTB8iRYJAqlMCEKuH26KXXg3qseCoCSmqWK5HIRlpZLMp9ggCBtFJK6nyLye1dDJr4rUmjVrQB8XRfKXrLWEnE47lPbHyWBd/S8mlPEfWdtAs8PGHbZbblh5bW3i7gMPTDh3UMWdk1b9frp9m7ps3sr5Hk9V8KZX7ps678CqQx/Cc0ILls4Zfk7Ml6i+YM34868rC6dG3XCl76Lmi+pjoSKnHK85d2Xz9McufpHYabz3W1TBPQC84G97gUyWCCbJ1HCHeS4mWv04B1Q1GTLAY0gpm4zDBKPYjBJQAjVHQoW9gjhCGjFLWCK0ChsFFuA4vUnYJnQIhwVeIIGBeCvBCgyU+JZOG+WXl+UJWqmyEJuFAEicwRSfBwIWhhH2ofnAB+u2X/GzpAi7+i6yPKezu4FWFnsaiJu319QYb5A0KZVKeK3CIqma2Ov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Programa de Do ctorado en Materiales
Sim ulaciones computacionales de defectos
pun tuales en metales de in terés en fusión
n uclear
Tesis Doctoral
Darío Fernández-Pello Lois

Programa de Do ctorado en Materiales
Sim ulaciones computacionales de defectos
pun tuales en metales de in terés en fusión
n uclear
Tesis Doctoral
Dir e ctor es de la T esis:
Dr. Rob erto Iglesias P astrana
Dr. César González P ascual

RESUMEN DEL CONTENIDO DE TESIS DOCT ORAL
RESUMEN (en español)

1.- Título de la T esis

Español: Simulaciones computacionales de
defectos puntuales en metales de interés en
fusión nuclear .

Inglés: Computational simulations of point
defects in metals of interest in nuclear
fusion.

2.- Autor

Nombre: Darío Fernández-Pello Lois

DNI: 09409701X

Programa de Doctorado: Materiales

Órgano responsable: Comisión Académica Programa Doctorado en Materiales

La simulaci ón computacional aplicada a los materiales es una disciplina perfectamente
establecida en el ámbito científico y cuya importancia está fuera de toda duda razo-
nable. Las actuales má quinas de c ómputo junto con la creciente oferta de la llamada
computació n en la nube hacen que est é m á s en boga que nunca.
En el estudio de las propiedades de materiales de interés, ya sea puramente teó rico o
industrial, destaca la teoría del funcional de la densidad (DFT) y es precisamente en
esta teoría donde nos asentamos para desarrollar los resultados aquí expuestos.
Los materiales estudiados presentan gran utilidad en la industria nuclear donde la
fusió n podr í a ser no s ólo un hito en la historia de la ciencia sino el lugar indicado para
albergar los resultados aquí expuestos al ser claros candidatos para futuros reactores
nucleares de fusión. Es evidente que deben soportar condiciones extremas debido a
las altas temperaturas y a la intensa radiación en forma de neutrones de alta energí a,
part ículas alfa, rayos-X e iones energéticos, entre otros. Por todo ello, que el estudio
de defectos comunes en todo estos procesos como son, por ejemplo, la aparició n de
vacantes, átomos auto intersticiales (SIAs) e impurezas de átomos ligeros (LIAs) está
absolutamente justificado.
La presente tesis estudia, dentro del marco anteriormente descrito, la formació n de
cl ústeres de helio dentro de Cu colocando varios átomos de He dentro de n-vacantes
previamente creadas e incluso en posiciones intersticiales, la formació n, binding y
migraci ón de estas burbujas en Nb, el estudio energético y estructural de LIAs y SIAs
en Mo, Nb, T a y W así como la movilidad de LIAs y SIAs en intercaras formadas por
superficies de W siguiendo distintos planos, W ⟨ 11 0 ⟩ /W ⟨ 11 2 ⟩ .

RESUMEN (en Inglés)
SR. PRESIDENTE DE LA COMISI ÓN ACADÉMICA DEL PROGRAMA DE DOCT ORADO
EN MA TERIALES

Computational modelling of materials is a well-established discipline in the scientific
field whose relevance is beyond doubt. T oday’ s computer cluster ’ s capabilities along
with the continuous emergence of cloud computing services have led computational
materials science to be in vogue more than ever before.
Density functional theory (DFT) is being used widely and frequently in order to study
the properties of materials of both theoretical and industrial interest, thus it is
considered as a solid framework to rely on in the development of our work.
These materials are very useful in the nuclear industry where fusion could be not only
a milestone in the history of science but the right place to host the results presented
here as they are suitable candidates to be used in future nuclear fusion reactors. It is
evident that they must withstand extreme conditions due to high temperatures and
intense radiation in the form of high-energy neutrons, alpha particles, X-rays and
energetic ions, among others. Therefore, the study of common defects in all these
processes such as, for example, the appearance of vacancies, self interstitial atoms
(SIAs) and light impurity atoms (LIAs) is more than justified.
This dissertation studies, within the framework described above, the formation of
helium clusters inside Cu by placing several He atoms in previously created n-
vacancies and even in interstitial positions. It examines the formation, binding and
migration of these bubbles in Nb. And, in addition, carries out an energetic and
structural study of LIAs and SIAs in Mo, Nb, T a and W and, finally , analyses the mobility
of LIAs and SIAs in interfaces formed by W surfaces following different planes,
W ⟨ 11 0 ⟩ / W ⟨ 11 2 ⟩ .

vi i
Figura 1: F ables of F aubus. Charles Mingus.

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}
}
/* Fancy CSS END */

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ix
UNIVERSID AD DE O VIEDO
R esumen
Sim ulaciones computacionales de defectos pun tuales en metales de in terés
en fusión n uclear
p or Darío Fernández-Pello Lois
La sim ulación computacional aplicada a los materiales es una disciplina p erfectamen te
establecida en el ám bito cien tífico y cuy a imp ortancia está fuera de to da duda razo-
nable. Las actuales máquinas de cómputo jun to con la crecien te oferta de la llamada
c omputación en la nub e hacen que esté más en b oga que n unca.
En el estudio de las propiedades de materiales de in terés, y a sea puramen te teórico
o industrial, destaca la teoría del funcional de la densidad (DFT) y es precisamen te
en esta teoría donde nos asen tamos para desarrollar los resultados aquí expuestos.
Los materiales estudiados presen tan gran utilidad en la industria n uclear donde la
fusión p o dría ser no sólo un hito en la historia de la ciencia sino el lugar indicado para
alb ergar los resultados aquí expuestos al ser claros candidatos para futuros reactores
n ucleares de fusión. Es eviden te que deb en sop ortar condiciones extremas debido a
las altas temp eraturas y a la in tensa radiación en forma de neutrones de alta energía,
partículas alfa, ra y os-X e iones energéticos, en tre otros. P or to do ello, que el estudio
de defectos com unes en to do estos pro cesos como son, p or ejemplo, la aparición de
v acan tes, átomos auto in tersticiales (SIAs) e impurezas de átomos ligeros (LIAs) está
absolutamen te justificado.
La presen te tesis consta de tres partes: una primera parte teórica, una segunda
parte trata sobre el pro cedimien to más com ún para pro ducir resultados y su p oste-
rior análisis y , finalmen te, una tercera y última parte que pretende abarcar to do el
pro ceso an terior partiendo desde cero con el fin de p o der in v estigar y comprender los
fundamen tos de la DFT y p o der así argumen tar con las ma y ores garan tías p osibles
ulteriores conclusiones.
Primeramen te se estudia el efecto que tienen las v acan tes y las burbujas de He
tan to de forma aislada como conjun ta en el material de Cu.
Seguidamen te, se extiende lo an terior utilizando otro de los metales del grup o de
candidatos a recubrir los reactores n ucleares, el Nb. A demás de estudiar los efectos de
las formaciones de v acan tes y su in teracción con las burbujas de He, se da una paso
más y se analizan tam bién aquellas migraciones de in terés en tre diferen tes estados del
sistema.
De n uev o se da un paso más allá y se estudia el comp ortamien to del He e H en
la fron teras de grano, grain b oundaries, GB, considerando un blo que, slab, de dos
sup erficies de W con distin ta orien tación: W h 110 i /W h 112 i .
La tercera parte es el resultado de un pro ceso largo que pretende hacer un estudio
sistemático de las sim ulaciones DFT partiendo desde cero. P ara lo cual se utilizó un
có digo abierto y se generaron los distin tos pseudop otenciales para el estudio energético,
electrónico y estructural de Nb, T a, W y Mo.
Finalmen te, to das las conclusiones son presen tadas con el prop ósito de relacionar
y comparar los resultados obtenidos de forma global.

x
A bstr act
Computational mo delling of materials is a w ell-established discipline in the scien tific
field whose relev ance is b ey ond doubt. T o da y’s computer cluster’s capabilities along
with the con tin uous emergence of cloud computing services ha v e led computational
materials science to b e in v ogue more than ev er b efore.
Densit y functional theory (DFT) is b eing used widely and frequen tly in order to
study the prop erties of materials of b oth theoretical and industrial in terest, th us it is
considered as a solid framew ork to rely on in the dev elopmen t of our w ork.
These materials are v ery useful in the n uclear industry where fusion could b e not
only a milestone in the history of science but the righ t place to host the results presen-
ted here as they are suitable candidates to b e used in future n uclear fusion reactors.
It is eviden t that they m ust withstand extreme conditions due to high temp eratures
and in tense radiation in the form of high-energy neutrons, alpha particles, X-ra ys and
energetic ions, among others. Therefore, the study of common defects in all these pro-
cesses suc h as, for example, the app earance of v acancies, self in terstitial atoms (SIAs)
and ligh t impurit y atoms (LIAs) is more than justified.
This dissertation studies, within the framew ork describ ed ab o v e, the formation
of helium clusters inside Cu b y placing sev eral He atoms in previously created n-
v acancies and ev en in in terstitial p ositions. It examines the formation, binding and
migration of these bubbles in Nb. And, in addition, carries out an energetic and
structural study of LIAs and SIAs in Mo, Nb, T a and W and, finally , analyses the
mobilit y of LIAs and SIAs in in terfaces formed b y W surfaces follo wing differen t
planes, W h 110 i /W h 112 i .
Firstly , w e consider the effect of v acancies and He bubble clustering in copp er
individually and collectiv ely together.
Next, a differen t metal is c hosen from among suitable candidates to coat n uclear
reactors and extend the previously analysis in order to include migrations from diffe-
ren t states of the system.
F ollo wing this part, w e study the b eha vior of He and H in the grain b oundaries, GB,
considering a slab of t w o surfaces of W with differen t orien tations: W h 110 i /W h 112 i .
The third part is the result of a long pro cedure that aims to examine systematically
the energetic, electronic and structural of p oin t defects, starting from scratc h and using
an op en source co de, in Nb, T a, W and Mo.
Finally , all the conclusions are put together in order to giv e a global review of
what has b een analysed.

xi
A gr ade cimientos
x 1
x 2
x 3
x 4
x 5
x 6
+ ∞

Figura 2: x 1 : directores de tesis, x 2 : Alejandra y Sofía, x 3 : hermana,
suegros, cuñados y sobrinos, x 4 : padres, x 5 : Ro y , x 6 : P aloma

xi i i
Índic e gener al
Resumen ix
Abstract x
Agradecimien tos xi
1. In tro ducción 1
1.1. Estructura de la tesis ............................ 5
1.1.1. Los capítulos ............................ 5
1.1.2. Capítulo 2 .............................. 5
1.1.3. Capítulo 3 .............................. 6
1.1.4. Capítulo 4 .............................. 6
1.1.5. Capítulo 5 .............................. 6
1.1.6. Capítulo 6 .............................. 6
1.1.7. Capítulo 7 .............................. 6
1.1.8. Los ap éndices . . . .......................... 6
2. Marco teórico 7
2.1. T eoría fundamen tal ............................. 7
2.1.1. Apro ximación de Born-Opp enheimer ............... 8
2.1.2. T eoría del funcional de la densidad ................ 9
2.1.3. Esquema de K ohn-Sham ...................... 1 0
Apro ximaciones para la energía de in tercam bio y correlación . . 10
2.1.4. Ondas planas ............................ 1 1
2.1.5. Pseudop otenciales ......................... 1 2
2.2. El límite termo dinámico .......................... 1 3
2.3. Meto dología de la DFT .......................... 1 3
2.3.1. Con v ergencia ............................ 1 4
2.4. Definiciones y notación ........................... 1 5
2.5. Redes cristalinas estudiadas ........................ 1 7
2.5.1. Defectos ............................... 1 7
V acan tes ............................... 1 8
Á tomos in tersticiales ........................ 1 8
F ron tera de grano .......................... 1 9
2.5.2. Có digos ............................... 2 1

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