Zero-Point Effects on Phase Transitions of Thorium Dihydride under
High Pressure
Chao Zhang,*
,†
Shu-Ping Guo,
†
Hong Jiang,
†
Guo-Hua Zhong,
‡
and Yue-Hua Su
†
†
Department of Physics, Yantai University, Yantai 264005, China
‡
Center for Photovoltaics and Solar Energy, Shenzhen Institutes of Advanced Technology, Chinese Academy of Sciences and The
Chinese University of Hong Kong, Shenzhen 518055, China
* S Supporting Information
ABSTRACT: The crystalline structures of thorium dihydride, ThH
2
, under
pressure are investigated by using an unbiased structure searching method
coupled with ab initio calculations. Three low-enthalpy phases are found as
the thermodynamic ground states of ThH
2
up to 200 GPa, including an
experimentally observed I4/mmm phase and two newly predicted monoclinic
phases (C2/m and C/2c phase). ThH
2
is predicted to undergo I4/mmm →
C2/m → C/2c phase transitions without zero-point (ZP) effects, whereas it
directly transforms from the I4/mmm phase to the C2/c phase with ZP
effects. Phonon calculations show that these competitive phases are
thermodynamically stable. There is a strengthening of the metallic characters
of the chemical bonding with increased pressure. Our results highlight the
role of ZP effects in the high-pressure behaviors of metal hydrides and
provide insight into further studies of other compounds containing light
elements under pressure.
1. INTRODUCTION
Exploration of metal hydrides at extreme conditions is a central
theme in physics, chemistry, and allied sciences. Under high
pressure, most metal hydrides undergo phase transition and
transform into new structures of higher densities and novel
chemical bonding. Several of these new structures are metallic
and even superconducting, despite the fact that some metal
hydrides are insulator with large band gap at ambient pressure,
such as alkali and alkaline earth hydrides,
1-8
transition metal
hydrides,
9-17
and group 14 hydrides.
18-25
Understanding the
behavior of metal hydrides under high pressure is significant to
applied research areas for providing guidance on designing
improved hydrogen storage materials for transportation
applications.
26-28
Given the extremely light mass of the hydrogen atom, the
zero-point (ZP) effect is adequate enough to affect relative
stabilities of structures and vibrational properties of hydrogen
and hydrides, especially with increased pressure that increases
the vibrational energy of hydrogen atoms. The inclusion of ZP
effects leads to a complete revision of solid hydrogen phase
diagram.
29
Without ZP effects, the most stable phases are P6
3
/
m (<105 GPa), C2/c (105-270 GPa), Cmca-12 (270-385
GPa), and Cmca (385-490 GPa), followed by I4
1
/amd. When
ZP effects are included, C2/c becomes stable below 240 GPa
and Cmca-12 above 240 GPa. However, whether ZP effects
completely change the phase diagram in binary metal hydrides
has not yet been determined. For SnH
4
,
24
a heavy metal
hydride, inclusion of ZP effects does not change the phase
transition sequence but extends the stability field of the Ama2
phase to be 96-180 GPa, compared with 108-158 GPa
without ZP effects. In a light metal hydride, BeH
2
,
8
inclusion of
ZP effects in the phase diagram slightly shifts the trans-
formation pressures into the phase III and IV, whereas the
phase transition sequence remains unaltered.
Thorium hydride has potential use for advanced nuclear fuels
and has been widely investigated experimentally and theoret-
ically.
30-38
Unfortunately, the scarcity of knowledge on
thorium hydride under high pressures hinders its practical
applications. This is partially due to the fact that high pressure
is not easily accessible and controllable in diamond anvil cell.
Development of reliable theoretical methods simulating
physical and chemical properties of thorium hydride would
significantly help, especially in the field of the nuclear materials,
for which adequate experimental data are missing. In this work,
we conducted a thorough theoretical investigation on the high-
pressure behavior of ThH
2
. The structural properties of ThH
2
under high pressure were explored using global structural
searching scheme in combination of ab initio calculations.
2. COMPUTATIONAL METHODS
The ground state of a material under pressure usually
corresponds to the global minimum of the Gibbs free energy
surface, and finding this state is essentially a minimization
problem and may be solved by searching for structures with
Received: April 2, 2015
Revised: May 21, 2015
Published: May 29, 2015
Article
pubs.acs.org/JPCC
© 2015 American Chemical Society 13465 DOI: 10.1021/acs.jpcc.5b03195
J. Phys. Chem. C 2015, 119, 13465-13471