Mechanical Properties
and Temperature and Pressure
Effects on the Crystal Structure of (2S,3S,4R)-2,3,4-(Trinitratomethyl)-1-nitroazetidine
(TMNA) by Single-Crystal X‑ray Diffractometry and Density Functional
Theory
posted on 2024-01-03, 18:09authored byRosario C. Sausa, Iskander G. Batyrev
Knowledge
of how crystalline materials react to external
stimuli
such as temperature, pressure, and stress is crucial for their screening,
modification, and potential use. Here, we reveal and discuss the crystal
structure of recently synthesized (2S,3S,4R)-2,3,4-(trinitratomethyl)-1-nitroazetidine
[C6H9N5O11, (TMNA)] obtained
by single-crystal X-ray diffractometry and calculated by solid-phase
density functional theory (DFT) with the CASTEP code using Perdew–Burke–Ernzerhof
functional optimized with the Grimme dispersion correction. We report
the effects of temperature and pressure on the structure and unit
cell lattice parameters in the range between 0 and 325 K and ambient
pressure and 10 GPa. TMNA presents a nitroazetidine moiety with three
ethyl nitric ester groups, each bonded to one of the three carbon
ring atoms, and belongs to the monoclinic crystal system, space group P21/c. The ambient temperature
and pressure structure remain stable in the temperature and pressure
ranges studied and exhibit both anisotropic thermal expansion and
pressure contraction. Thermal isobaric expansion results in a soft
expansion along the c-crystallographic axis and a
hard expansion along the b-axis (c > a > b), with a measured
volume
thermal expansion coefficient of 174 (8) MK–1, compared
to our DFT estimated value of 236 MK–1. Pressure
compression calculations under isotropic and isothermal conditions
reveal a volume contraction of approximately 25% with the unit cell c lattice shortening by approximately 50% less than the a and b lattices (c < b ≅ a). A Birch–Murnaghan
equation-of-state fit of the data yields bulk modulus and pressure
derivative values of 10.5 (1) GPa and 7.0 (1), respectively. Finite
strain DFT calculations yield the elastic constants of TMNA, which
we employ to derive its bulk and shear modulus values of 9.96 and
4.94 GPa, respectively. TMNA presents linear compressibility values
of approximately 37, 40, and 23TPa–1 along the [100],
[010], and [001] directions, respectively. The compressibility values
obtained from the elastic constants agree with those derived by fitting
the high−pressure data, ensuring model consistency. We compare
our TMNA results to those reported for nitrotoluene and other azetidines.