Ab Initio Investigation of Li and Na Migration in Guest-Free, Type i Clathrates

Andrew Dopilka, Xihong Peng, Candace K. Chan

Research output: Contribution to journalArticle

Abstract

Guest-free, type I clathrates with formula Tt46 (Tt = Si, Ge, Sn) are comprised of open, cage-like frameworks with the potential for facile Li or Na conduction. Herein, ab initio density functional theory (DFT) is used to evaluate the ionic mobility of Li and Na through the clathrate crystal structures. The favorable Li and Na positions inside the clathrate structures are determined, and the migration pathways and barriers are evaluated using the nudged elastic band (NEB) method. The results show that it is energetically favorable for a Li atom to occupy the center position inside the small Tt20 cages while preferring the off-center positions in the larger Tt24 cages. The lowest Li migration barriers are found to be 0.35, 0.13 and 0.37 eV for Si46, Ge46, and Sn46, respectively, with the dominant diffusion pathway along channels of Tt24 cages connected by hexagonal faces. Li accessibility to the Si20 cage in Si46 appears to be restricted in the dilute regime due to a high energy barrier (2.0 eV) except for the case in which Li atoms are present in adjacent cages; this lowers the migration barrier to 0.77 eV via a mechanism where a Si-Si bond is temporarily broken. In contrast, Na atoms show preference for the cage centers and display higher migration barriers than Li. Overall, the Tt24 channel sizes in the guest-free, type I clathrates are ideal for fast Li diffusion, while Na is too large to migrate effectively between cages. The energy landscape for Li inside the type I clathrates is uniquely different than that in diamond cubic structures, leading to significantly lower energy barriers for Li migration. These results suggest that open frameworks of intermetallic elements may enable facile Li migration and have potential use as Li-ion battery anodes.

Original languageEnglish (US)
Pages (from-to)22812-22822
Number of pages11
JournalJournal of Physical Chemistry C
Volume123
Issue number37
DOIs
StatePublished - Sep 19 2019

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clathrates
Energy barriers
Atoms
Diamond
Intermetallics
Density functional theory
Diamonds
Anodes
Crystal structure
ionic mobility
atoms
intermetallics
electric batteries
energy
anodes
diamonds
density functional theory
conduction
crystal structure
ions

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Energy(all)
  • Physical and Theoretical Chemistry
  • Surfaces, Coatings and Films

Cite this

Ab Initio Investigation of Li and Na Migration in Guest-Free, Type i Clathrates. / Dopilka, Andrew; Peng, Xihong; Chan, Candace K.

In: Journal of Physical Chemistry C, Vol. 123, No. 37, 19.09.2019, p. 22812-22822.

Research output: Contribution to journalArticle

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abstract = "Guest-free, type I clathrates with formula Tt46 (Tt = Si, Ge, Sn) are comprised of open, cage-like frameworks with the potential for facile Li or Na conduction. Herein, ab initio density functional theory (DFT) is used to evaluate the ionic mobility of Li and Na through the clathrate crystal structures. The favorable Li and Na positions inside the clathrate structures are determined, and the migration pathways and barriers are evaluated using the nudged elastic band (NEB) method. The results show that it is energetically favorable for a Li atom to occupy the center position inside the small Tt20 cages while preferring the off-center positions in the larger Tt24 cages. The lowest Li migration barriers are found to be 0.35, 0.13 and 0.37 eV for Si46, Ge46, and Sn46, respectively, with the dominant diffusion pathway along channels of Tt24 cages connected by hexagonal faces. Li accessibility to the Si20 cage in Si46 appears to be restricted in the dilute regime due to a high energy barrier (2.0 eV) except for the case in which Li atoms are present in adjacent cages; this lowers the migration barrier to 0.77 eV via a mechanism where a Si-Si bond is temporarily broken. In contrast, Na atoms show preference for the cage centers and display higher migration barriers than Li. Overall, the Tt24 channel sizes in the guest-free, type I clathrates are ideal for fast Li diffusion, while Na is too large to migrate effectively between cages. The energy landscape for Li inside the type I clathrates is uniquely different than that in diamond cubic structures, leading to significantly lower energy barriers for Li migration. These results suggest that open frameworks of intermetallic elements may enable facile Li migration and have potential use as Li-ion battery anodes.",
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AB - Guest-free, type I clathrates with formula Tt46 (Tt = Si, Ge, Sn) are comprised of open, cage-like frameworks with the potential for facile Li or Na conduction. Herein, ab initio density functional theory (DFT) is used to evaluate the ionic mobility of Li and Na through the clathrate crystal structures. The favorable Li and Na positions inside the clathrate structures are determined, and the migration pathways and barriers are evaluated using the nudged elastic band (NEB) method. The results show that it is energetically favorable for a Li atom to occupy the center position inside the small Tt20 cages while preferring the off-center positions in the larger Tt24 cages. The lowest Li migration barriers are found to be 0.35, 0.13 and 0.37 eV for Si46, Ge46, and Sn46, respectively, with the dominant diffusion pathway along channels of Tt24 cages connected by hexagonal faces. Li accessibility to the Si20 cage in Si46 appears to be restricted in the dilute regime due to a high energy barrier (2.0 eV) except for the case in which Li atoms are present in adjacent cages; this lowers the migration barrier to 0.77 eV via a mechanism where a Si-Si bond is temporarily broken. In contrast, Na atoms show preference for the cage centers and display higher migration barriers than Li. Overall, the Tt24 channel sizes in the guest-free, type I clathrates are ideal for fast Li diffusion, while Na is too large to migrate effectively between cages. The energy landscape for Li inside the type I clathrates is uniquely different than that in diamond cubic structures, leading to significantly lower energy barriers for Li migration. These results suggest that open frameworks of intermetallic elements may enable facile Li migration and have potential use as Li-ion battery anodes.

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