2019
DOI: 10.1016/j.jeurceramsoc.2019.04.039
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First-principles study of impurity segregation in zirconia, hafnia, and yttria-stabilized-zirconia grain boundaries

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Cited by 13 publications
(2 citation statements)
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“…Generally, a negative segregation energy corresponds to an exothermic segregation behavior that is easy to occur, whereas a positive segregation energy corresponds to an endothermic segregation behavior that is difficult to occur. To examine the segregation behavior of Ce and Lu more accurately, we use McLean’s theory to estimate the possibility of segregation of Ce and Lu at a given site of GB quantitatively. There are two forms of Mclean equation used to describe the segregation of alloying element, , and we use the following equation to compute the segregation probability of alloying elements at GB: C GB = [ C bulk exp true( prefix− normalΔ E seg R T true) ] / false[ 1 + C bulk exp ( Δ E seg R T ) ] where Δ E seg is the segregation energy, T is the aging temperature of the segregation process, and C GB and C bulk are the alloying elements at GB and the concentration of alloying elements in the matrix of alloys.…”
Section: Methodsmentioning
confidence: 99%
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“…Generally, a negative segregation energy corresponds to an exothermic segregation behavior that is easy to occur, whereas a positive segregation energy corresponds to an endothermic segregation behavior that is difficult to occur. To examine the segregation behavior of Ce and Lu more accurately, we use McLean’s theory to estimate the possibility of segregation of Ce and Lu at a given site of GB quantitatively. There are two forms of Mclean equation used to describe the segregation of alloying element, , and we use the following equation to compute the segregation probability of alloying elements at GB: C GB = [ C bulk exp true( prefix− normalΔ E seg R T true) ] / false[ 1 + C bulk exp ( Δ E seg R T ) ] where Δ E seg is the segregation energy, T is the aging temperature of the segregation process, and C GB and C bulk are the alloying elements at GB and the concentration of alloying elements in the matrix of alloys.…”
Section: Methodsmentioning
confidence: 99%
“…To examine the segregation behavior of Ce and Lu more accurately, we use McLean's theory to estimate the possibility of segregation of Ce and Lu at a given site of GB quantitatively. 41−43 There are two forms of Mclean equation used to describe the segregation of alloying element, 42,44 and we use the following equation to compute the segregation probability of alloying elements at GB:…”
Section: ■ Methodsmentioning
confidence: 99%