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We present density functional theory (DFT) calculation results concerning the uranium dioxide crystals with a helium atom incorporated in the octahedral interstitial position. "Ab initio" calculations were performed using the Wien2k program package. For comparison, a pseudo-potential approach in the generalized gradient approximation was applied using the ABINIT program package. To compute the unit cell parameters 13 atom super-cell was chosen. Parameters of the potential barrier, which the helium atom has to overcome while jumping to the next octahedral interstitial position, were calculated by the help of both the program packages. The results, obtained using two different program packages, are shown in the table and presented graphically. For the so described parameters, the quantum mechanical movement of the helium atom around the equilibrium position is considered. The parameters of Schrödinger's equation are collected in Table 2, while the results of mean square deviation and thermal occupation of energetic levels are presented in a graph. It is established that the helium atoms are located (with an accuracy of several percent of lattice constant) nearby the equilibrium position and form a local bound state. Applying a two site-model, we evaluated the time for an over-barrier jump. Graphically presented results show that the helium atom over-barrier jump is not possible even for temperatures as high as 1200 K. Influence of potential barrier height on the jump time was also considered.
Słowa kluczowe
Czasopismo
Rocznik
Tom
Strony
337--343
Opis fizyczny
Bibliogr. 12 poz., rys.
Twórcy
autor
autor
- National Centre for Nuclear Research (NCBJ), 7 Andrzeja Sołtana Str., 05-400 Otwock/Świerk, Poland, Tel.: +48 22 718 0155, Fax: +48 22 779 3888, luddab@hotmail.com
Bibliografia
- 1. Beauvy M (1992) Non-ideality of the solid solution in (U, Pu)O2 nuclear fuels. J Nucl Mater 188:232–238
- 2. Blaha P, Schwartz K, Madsen G, Kvasnicka D, Luiz J (2001) Wien2k an augmented plane wave plus local orbital program for calculating crystal properties. Vienna University of Technology, Vienna
- 3. Crocombette JP (2002) “Ab initio” energetic of some fission products (Kr, I, Cs, Sr and He) in uranium dioxide. J Nucl Mater 305:29–36
- 4. Dąbrowski L, Szuta M (2012) Local structure and cohesive properties of mixed thorium and uranium dioxides calculated by “ab initio” method. Nukleonika 57;1:101–107
- 5. Dąbrowski L, Szuta M (2012) Xe and Kr bonding abilities in the single crystal oxygen vacancies of the uranium based fuel. Nukleonika 57;1:95–100
- 6. Feynman RP, Leighton RB, Sands ML (1974) The Feynman lectures on physics. Vol. 3. PWN, Warsaw, pp 125–130
- 7. Freyss M, Vergnett N, Petit T (2006) “Ab initio” modeling of the behavior of helium and xenon in actinide dioxide nuclear fuels. J Nucl Mater 352:144–150
- 8. Grimes RW, Miller RH, Catlow CRA (1990) The behaviour of helium in UO2: Solution and migration energie. J Nucl Mater 172:123–125
- 9. Gryaznov D, Heifets E, Kotomin E (2009) “Ab initio” DFT+U study of He atom incorporation into UO2 crystals. Phys Chem Chem Phys 11:7241–7247
- 10. http://www.abinit.org
- 11. Payne MC, Teter MP, Allan DC, Arias TA, Joannopoulos JD (1992) Iterative minimization techniques for ab initio total energy calculations: molecular dynamics and conjugate gradiens. Rev Mod Phys 64;4:1045–1097
- 12.Troullier N, Martins JL (1991) Efficient pseudopotentials for plane-wave calculations. Phys Rev B 43;3:1993–2006
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BUJ8-0023-0015