Seon Ju Lee1, Moon Young Choi1, Ae Ran Lim1,2. 1. Department of Carbon Convergence Engineering, Jeonju University, Jeonju 55069, Korea. 2. Analytical Laboratory of Advanced Ferroelectric Crystals, and Department of Science Education, Jeonju University, Jeonju 55069, Korea.
Abstract
The structures and phase transitions of [NH3(CH2) n NH3]MnCl4 (n = 2, 3, and 4) crystals were confirmed through X-ray diffraction and differential scanning calorimetry (DSC) experiments. Thermodynamic properties, ferroelastic properties, and molecular dynamics of three crystals were studied as a function of the number (n) of CH2 groups in the alkylene chains. The loss in molecular weight due to a decrease in n marked the onset of the partial thermal decomposition. The thermal decomposition temperature, T d, increased with increasing length of the CH2 chain. While the ferroelastic twin domain walls for n = 2 and 4 were in the same direction at all temperatures, the domain walls for n = 3 were rotated by 45°, and the direction of extinction in phase II was rotated by 45° with respect to phases I and III. The 1H and 13C MAS NMR spectra of the three crystals were recorded as a function of temperature. With increasing length of the CH2 chain, the 1H spin relaxation time decreased, indicating that molecular motions were activated. These results provide insights into the thermodynamic properties and structural dynamics of the [NH3(CH2) n NH3]MnCl4 crystals and are expected to facilitate their potential applications.
The structures and phase transitions of [NH3(CH2) n NH3]MnCl4 (n = 2, 3, and 4) crystals were confirmed through X-ray diffraction and differential scanning calorimetry (DSC) experiments. Thermodynamic properties, ferroelastic properties, and molecular dynamics of three crystals were studied as a function of the number (n) of CH2 groups in the alkylenechains. The loss in molecular weight due to a decrease in n marked the onset of the partial thermal decomposition. The thermal decomposition temperature, T d, increased with increasing length of the CH2chain. While the ferroelastic twin domain walls for n = 2 and 4 were in the same direction at all temperatures, the domain walls for n = 3 were rotated by 45°, and the direction of extinction in phase II was rotated by 45° with respect to phases I and III. The 1H and 13C MAS NMR spectra of the three crystals were recorded as a function of temperature. With increasing length of the CH2chain, the 1H spin relaxation time decreased, indicating that molecular motions were activated. These results provide insights into the thermodynamic properties and structural dynamics of the [NH3(CH2) n NH3]MnCl4crystals and are expected to facilitate their potential applications.
The
physical and chemical properties of the organic–inorganic
hybrid perovskite [NH3(CH2)NH3]MX4 (n = 2, 3, 4,
5; M = Mn, Fe, Co, Cu, Zn, Cd,...; X = Cl and Br) have triggered significant
scientific interest. The properties depend on factors such as the
characteristics of organiccations and geometry of the inorganicmetalhalide anions ((MX6)2– or (MX4)2–) constituting the crystal.[1−13] When M = Mn, Cu, and Cd, the crystal structures consist of alternate
octahedron (MX6)2– and organicchains.
In contrast, when M = Co and Zn, isolated tetrahedral structures are
formed, where an inorganic layer of (MX4)2– is sandwiched between layers of an organiccation.[14−22] The ammonium ions bonded at both ends of the organicchain combine
with the halide ions in the inorganic layer and stabilize the layered
structure by forming N–H···X hydrogen bonds.
The organicchains extend along the a-axis. Perovskite
[NH3(CH2)NH3]MnCl4consists of puckered layers of MnCl4 separated by layers of NH3(CH2)NH3chains that are nearly perpendicular
to the layers. The distance between the two neighboring inorganic
layers strongly depends on the length of the organicchain.[23] In addition, the ferroelasticity is commonly
observed in materials with a perovskitecrystal structure. Recently,
the ferroelastic twin domain observed in organic–inorganic
hybrid perovskite has also garnered much attention.[24−26] These compounds
are of notable scientific interest owing to the multiplicity of their
crystal structures, which govern their thermodynamic properties, ferroelastic
properties, and structural dynamics.1,2-Ethylenediammoniummanganese tetrachloride, [NH3(CH2)2NH3]MnCl4, (n = 2), crystallizes
in the monoclinic space group P21/b and is twinned at room
temperature.[27] This crystal does not exhibit
any structural phase transition up to the decomposition temperature.
The unit cell parameters are a = 8.609 Å, b = 7.130 Å, c = 7.192 Å, γ
= 92.69°, and Z = 2. 1,3-Propylenediammoniummanganese tetrachloride, [NH3(CH2)3NH3]MnCl4, (n = 3), undergoes
two structural phase transitions at 305 and 336 K.[28,29] All the three phases of [NH3(CH2)3NH3]MnCl4 belong to the orthorhombic space
group. The crystal structure in phase III at room temperature has
the orthorhombic space group Imma, with lattice constants a = 19.00 Å, b = 7.172 Å, c = 7.361 Å, and Z = 4.[30] The crystal structures in phases I and II are
the same as that in phase III. The compound crystallizes in the Fmmm space group in phase I, with lattice constants a = 18.891 Å, b = 7.198 Å, c = 7.398 Å, and Z = 4. It crystallizes
in the Pnma space group in phase II, with lattice
constants a = 18.867 Å, b =
10.254 Å, c = 10.382 Å, and Z = 8.[29] 1,4-Butanediyldiammonium manganese
tetrachloride, [NH3(CH2)4NH3]MnCl4, (n = 4), undergoes structural
phase transition near 382 K.[31] At 295 K,
it is monoclinic, with the space group P21/b and Z = 2. The unit cell parameters
are a = 10.770 Å, b = 7.177
Å, c = 7.307 Å, and γ = 92.67°.
The high-temperature phase is orthorhombic, with the space group Pnmb and Z = 2. The unit cell parameters
are a = 10.690 Å, b = 7.218
Å, and c = 7.37 Å.[32] All the phases have one long axis lying perpendicular to the MnCl4 plane and parallel to the axis of the NH3(CH2)NH3chains and two
shorter axes lying within the MnCl4 plane.This study
aimed to investigate the thermodynamic properties, ferroelastic
properties, and structural dynamics of [NH3(CH2)NH3]MnCl4 as
a function of the number of CH2 groups in the carbonchain.
The phase transition temperatures and thermodynamic properties of
the crystals with n = 2, 3, and 4 are investigated
using differential scanning calorimetry (DSC) and thermogravimetric
analysis (TGA). In addition, the ferroelastic domain walls of the
three crystals were observed by optical polarizing microscopy. Finally,
we study the structural dynamics of the [NH3(CH2)NH3] cation near the phase
transition temperatures by performing magic angle spinning (MAS), 1H nuclear magnetic resonance (NMR), and MAS 13C
NMR spectroscopy. The results provide insights into the thermodynamic
properties and structural dynamics of the [NH3(CH2)NH3]MnCl4crystals
and are expected to facilitate their potential applications.
Results and Discussion
Crystal Structures
The X-ray powder
diffraction patterns of the [NH3(CH2)NH3]MnCl4crystals (n = 2, 3, and 4) at 298 K are shown in Figure and Table . The lattice constants for the [NH3(CH2)2NH3]MnCl4crystal
with n = 2 were determined as a =
8.614 ± 0.005 Å, b = 7.127 ± 0.003
Å, c = 7.188 ± 0.003 Å, and β
= 92.772 ± 0.028° and those for [NH3(CH2)3NH3]MnCl4 with n = 3 as a = 19.009 ± 0.003 Å, b = 7.169 ± 0.001 Å, and c =
7.357 ± 0.001 Å. For [NH3(CH2)4NH3]MnCl4 with n =
4, the lattice parameters were determined as a =
10.826 ± 0.004 Å, b = 7.178 ± 0.003
Å, c = 7.312 ± 0.003 Å, and β
= 92.605 ± 0.014°. These results are consistent with those
reported previously.[27,30,32]
Figure 1
X-ray
diffraction pattern of the [NH3(CH2)NH3]MnCl4 (n = 2, 3, and 4) crystals at 300 K.
Table 1
Structure, Lattice Constant, Phase
Transition Temperature (TC), Thermal Decomposition
Temperature (Td), and 1H Spin–Lattice
Relaxation Time T1ρ in the [NH3(CH2)NH3]MnCl4 (n = 2, 3, and 4) Crystals as
a Function of the Lengths of the CH2 Chain
structure
lattice constants (Å)
TC (K)
Td (K)
1H T1ρ (ms)
n = 2
monoclinic
a = 8.614
564
20.8
b = 7.127
c = 7.188
γ = 92.772°
Z = 2
n = 3
orthorhombic
a = 19.009
305,336
582
15.4
b = 7.169
c = 7.357
Z = 4
n = 4
monoclinic
a = 10.826
382
589
14.4
b = 7.178
c = 7.312
γ = 92.605°
Z = 2
X-ray
diffraction pattern of the [NH3(CH2)NH3]MnCl4 (n = 2, 3, and 4) crystals at 300 K.
Phase Transition Temperatures
and Thermodynamic
Properties
The DSCcurves of the three crystals at a heating
rate of 10 K/min under a nitrogen atmosphere are shown in Figure . No peak was observed
for the case of n = 2, whereas two endothermic peaks
at 308 K (TC2) and 338 K (TC1) were observed for n = 3. For the
case of n = 4, a small endothermic peak was observed
at ∼378 K. These phase transition temperatures are consistent
with those reported previously.[28,29,31]
Figure 2
DSC
thermogram of [NH3(CH2)NH3] MnCl4 (n = 2, 3,
and 4).
DSC
thermogram of [NH3(CH2)NH3] MnCl4 (n = 2, 3,
and 4).To verify whether the endothermic
peaks correspond to phase transition
or decomposition, TGA and differential thermal analysis (DTA) were
performed at the same heating rate. The TGA and DTGcurves displayed
in Figures , 4, and 5 show that the crystals
with n = 2, 3, and 4 are almost stable up to approximately
564, 582, and 589 K, respectively. [NH3(CH2)NH3]MnCl4 undergoes
loss in the molecular weight with increasing temperature. Based on
the total molecular weight, the amount of residue was obtained using eqs , 2, and 3:[33−35]
Figure 3
TGA and DTA curves of [NH3(CH2)2NH3]MnCl4.
Figure 4
TGA and DTG curves of [NH3(CH2)3NH3]MnCl4.
Figure 5
TGA and
DTG curves of [NH3(CH2)4NH3]MnCl4.
TGA and DTA curves of [NH3(CH2)2NH3]MnCl4.TGA and DTGcurves of [NH3(CH2)3NH3]MnCl4.TGA and
DTGcurves of [NH3(CH2)4NH3]MnCl4.First step for n = 2ResidueSecond stepResidueFirst step for n = 3ResidueSecond stepResidueFirst step for n = 4ResidueSecond stepResidueAccording to the
number of CH2 groups in the carbonchain, the molecular weight loss near 564, 582, and 589 K marks the
onset of partial thermal decomposition (at temperature Td). For n = 2, weight losses of about
14 and 31% near 628 and 654 K may be attributed to the thermal decomposition
and the partial escape of the HCl and 2HCl moieties, respectively,
as shown in Figure . The temperatures corresponding to the partial escape of the HCl
and 2HCl moieties for n = 3 and 4 are nearly same
as those for n = 2. The molecular weight of the three
crystals decreased sharply between 600 and 700 K, with 50% weight
loss at around 700 K.To support the TGA
results, the appearance
of single crystals with changing temperature was observed using an
optical polarizing microscope (Figure ). For the case of n = 2, the crystal
formed at 300 K was transparent and dark orange, whereas it appeared
slightly opaque at 533 K. Upon further increasing the temperature
to 653 K, 2HCl was eliminated and the crystal turned dark brown; the
surface also appeared to melt slightly. For the case of n = 3, the crystal was light brown at room temperature. Upon increasing
the temperature to 643 K, it turned dark brown because of the elimination
of 2HCl, although no melting was observed. For the case of n = 4, the crystal was light yellow at 300 K, and it turned
white with increasing temperature, indicating the elimination of HCl.
Figure 6
Photographs
of [NH3(CH2)2NH3]MnCl4 [(a) 303 K, (b) 533 K, (c) 573 K, (d) 653
K], [NH3(CH2)3NH3]MnCl4 [(e) 303 K, (f) 561 K, (g) 613 K, (h) 643 K], and [NH3(CH2)4NH3]MnCl4 [(i) 303 K, (j) 418 K, (k) 603 K, (l) 623 K] (the photos were taken
by the authors S. J. Lee and M. Y. Choi).
Photographs
of [NH3(CH2)2NH3]MnCl4 [(a) 303 K, (b) 533 K, (c) 573 K, (d) 653
K], [NH3(CH2)3NH3]MnCl4 [(e) 303 K, (f) 561 K, (g) 613 K, (h) 643 K], and [NH3(CH2)4NH3]MnCl4 [(i) 303 K, (j) 418 K, (k) 603 K, (l) 623 K] (the photos were taken
by the authors S. J. Lee and M. Y. Choi).
Ferroelastic Domain Walls
Optical
polarizing microscopy was used to examine the ferroelastic properties
of the three crystals. The domain patterns of [NH3(CH2)NH3]MnCl4 (n = 2, 3, and 4) were examined under an optical
polarizing microscope (Figures , 8, and 9).
The parallel lines represent the twin domain walls, and each photograph
was taken after waiting for about 1 min for temperature stabilization
and attainment of the equilibrium domain structure. The domain walls
were observed at 200× magnification. The twin domain walls in
the lamellar type structure were observed perpendicular to the plane
of the principal growth face of [NH3(CH2)NH3]MnCl4.
Figure 7
Optical polarizing
microscopy images of [NH3(CH2)2NH3]MnCl4 at (a) 303 K,
(b) 343 K, (c) 373, and 403 K. The visible lines represent the ferroelastic
twin domain patterns.
Figure 8
Optical polarizing microscopy
images of [NH3(CH2)3NH3]MnCl4 at (a) 300 K,
(b) 313 K, (c) 323 K, and (d) 345 K. The visible lines represent the
ferroelastic twin domain patterns.
Figure 9
Optical polarizing microscopy
images of [NH3(CH2)4NH3]MnCl4 at (a) 300 K,
(b) 353 K, (c) 393 K, and (d) 403 K. The visible lines represent the
ferroelastic twin domain patterns.
Optical polarizing
microscopy images of [NH3(CH2)2NH3]MnCl4 at (a) 303 K,
(b) 343 K, (c) 373, and 403 K. The visible lines represent the ferroelastic
twin domain patterns.Optical polarizing microscopy
images of [NH3(CH2)3NH3]MnCl4 at (a) 300 K,
(b) 313 K, (c) 323 K, and (d) 345 K. The visible lines represent the
ferroelastic twin domain patterns.For the case of n = 2 (Figure ), several parallel lines representing the
ferroelastic twin domain walls were observed at 303 K (Figure a). With increasing temperature,
the domain walls remained intact, without the occurrence of any unusual
phenomenon (Figure b–d). The twin boundary existed in the same direction at all
temperatures. For the case of n = 3, the parallel
lines representing the ferroelastic domains were observed at 300 K
(Figure a). With increasing
temperature, the parallel lines corresponding to the domain walls
at 313 and 323 K (Figure b,c), which are above TC2 (305
K), were rotated by approximately 45° with respect to those at
300 K (Figure a).
When the temperature was increased beyond TC1 (336 K), the direction of the domain walls was found to revert to
that observed at room temperature, which was lower than TC2. Extinction axes of phase II are rotated by 45°
from the axis perpendicular to the layers of phases I and III. The
direction of the domain walls when n = 4 is constant
at all temperatures, as shown in Figure . Observations of
domain walls signify the interchange of the b and c axes. At 300 K, the distance between the domain walls
is remarkably broad (Figure a), whereas at 403 K, above TC (383 K), the domain wall spacing is very narrow (Figure d).Optical polarizing microscopy
images of [NH3(CH2)4NH3]MnCl4 at (a) 300 K,
(b) 353 K, (c) 393 K, and (d) 403 K. The visible lines represent the
ferroelastic twin domain patterns.This observation suggests that the structural phase transition
occurs at phase transition temperatures. For the transition from the mmm point group (space group Pnma) of the
orthorhombic system to the 2/m point group (space
group P21/b) of the monoclinic
system, the domain wall orientations are expressed as x = 0 and z = 0, as suggested by Aizu[36] and Sapriel.[37] These
equations of the twin domain walls reflect the ferroelasticity of
the mmmF2/m species, where mmm and 2/m indicate the symmetries at
a high and low temperatures, and F represents the ferroelastic phase.
MAS 1H NMR Results
The 1H NMR spectra of the [NH3(CH2)NH3]MnCl4 (n = 2, 3, and 4) crystals recorded by MAS NMR spectroscopy at 300
K are shown in Figure . For the case of n = 2, 3, and 4, the chemical
shift of the resonance line was observed at 8.95, 8.72, and 9.79 ppm
as one resonance line, respectively. The spinning sidebands are marked
with “+”. The observed resonance lines are asymmetric,
corresponding to the overlap of NH3 and CH2;
the line widths a and b on the left and right sides of the half-maximum
are not same. In addition, the in situ MAS 1H NMR spectra
were recorded as a function of temperature according to the length
of the carbonchain (Supporting Information 1, 2, and 3). The temperature-dependence of 1Hchemical
shifts for n = 2, 3, and 4 are shown in Figure .
Figure 10
MAS 1H NMR
spectra of [NH3(CH2)NH3]MnCl4 (n = 2, 3, and 4)
at 300 K.
Figure 11
MAS 1H NMR spectra of [NH3(CH2)NH3]MnCl4 as
a function of the length of the CH2 chain as a function
of temperature.
MAS 1H NMR
spectra of [NH3(CH2)NH3]MnCl4 (n = 2, 3, and 4)
at 300 K.MAS 1H NMR spectra of [NH3(CH2)NH3]MnCl4 as
a function of the length of the CH2chain as a function
of temperature.The 1Hchemical
shifts show similar trends for n = 2, 3, and 4. The
chemical shifts of all three crystals
depend on temperature, implying that the surrounding environments
of the 1Hchange continuously with temperature. For n = 2 and 4, no change was observed with the increasing
temperature. In particular, for n = 3, the 1Hchemical shift showed discontinuity near TC2 and continuity near TC1. At
this time, the difference in chemical shifts is unlikely to be caused
by the different N–H and C–H bond lengths for the three
crystals. It was thought to be related to the N–H···Cl
bond length.The MAS 1H NMR spectrum was acquired
for several delay
times at room temperature. The relation between the intensity of NMR
signals and delay time can be represented by an exponential function.
The magnetization decay rate of the spin-locked proton is characterized
by T1ρ as follows[38,39]Here, P(τ) and P(0)
are
the signal intensities at times τ and τ = 0, respectively.
The MAS 1H NMR spectra of [NH3(CH2)NH3]MnCl4 at
300 K were recorded for several delay times, ranging from 1 μs
to 5 ms. All the decay curves could be explained by the exponential
function represented by eq . Slopes of their recovery traces indicate that the 1H T1ρ values of [NH3(CH2)NH3]MnCl4 were very short, being 20.8, 15.4, and 14.4 ms for n = 2, 3, and 4, respectively. However, 1H T1ρ for NH3 and CH2could not be distinguished because of the overlapping of the 1H signals of NH3 and CH2. The trend
in their values indicates that T1ρ decreases with increasing length of the CH2chain.
MAS 13C NMR Results
The
MAS 13C NMR chemical shifts for CH2 in [NH3(CH2)NH3]MnCl4 were recorded at several temperatures. The signal
for the TMS reference was measured at 38.3 ppm at 300 K, and this
value was set to 0 ppm for the 13Cchemical shift. Here,
it is seen that CH2-1 in the [NH3(CH2)NH3] cation is far from
NH3, and CH2-2 is located near NH3. The results of the 13Cchemical shifts according to
the methylene chain length at 300 K are shown in Figure . For n =
2, one 13C NMR signal is predicted as CH2-2
with the same surrounding environment; one 13C NMR signal
was observed at 152.66 ppm for CH2-2. The chemical shifts
for n = 3 were observed at 89.95 and 121.26 ppm for
CH2-1 and CH2-2, respectively. The 13Cchemical shifts for n = 4 were observed at 90.27
and 111.49 ppm, respectively.
Figure 12
MAS 13C NMR spectra of [NH3(CH2)NH3]MnCl4 (n = 2, 3, and 4) at 300 K.
MAS 13C NMR spectra of [NH3(CH2)NH3]MnCl4 (n = 2, 3, and 4) at 300 K.Meanwhile, the chemical shifts for the MAS 13C NMR spectra
for the three compounds with increasing temperature are shown in Figure . In addition,
the in situ MAS 13C NMR spectra according to the length
of the carbonchain were measured with increasing temperature (Supporting Information 4, 5, and 6). For n = 2 and 3, 13C of CH2-2 decreased
with increasing temperature, but for n = 4, it was
almost independent of temperature. In the case of CH2-1,
for n = 3 and 4 it, decreased slightly with temperature.
These results are considered to be consistent with the decrease in
the N–C and C–C bond lengths around 13C.
As shown in Figure , the changes near TC for n = 3 and 4
could not be seen clearly; however, the changes in the chemicals shifts
near TC were more evident in the in situ 13C NMR spectrum shown in the Supporting Information 2(b,c).
Figure 13
MAS 13C NMR spectra of [NH3(CH2)NH3]MnCl4 as
a function of the length of the CH2 chain as a function
of temperature.
MAS 13C NMR spectra of [NH3(CH2)NH3]MnCl4 as
a function of the length of the CH2chain as a function
of temperature.
Conclusions
The thermodynamic properties, ferroelastic properties, and molecular
dynamics of the [NH3(CH2)NH3]MnCl4crystals were investigated
as a function of the number of CH2 groups in the carbonchain. The loss in molecular weight of these crystals marks the onset
of their partial thermal decomposition near 564, 582, and 589 K, for n = 2, 3, and 4, respectively. Td increases with increasing length of the CH2chain.For the case of n = 2 and 4, several parallel
lines representing the ferroelastic twin domain walls were observed
in the same direction at all temperatures. In contrast, the twin boundaries
for the case of n = 3 were rotated by 45° beyond TC2 (305 K) and again by 45° beyond TC1 (336 K); the directions of extinction in
phase II were rotated by 45° with respect to phases I and III.
Assuming the crystal to be orthorhombic in all the three phases, it
can be said that the frame of crystallographic axes at the transition
from phase I to phase II rotates by 45° around the axis perpendicular
to the layers and reverts to the original direction during the transition
into phase III.Finally, the 1H NMR and 13C NMR spectra of
the [NH3(CH2)NH3]MnCl4 (n = 2, 3, and 4) crystals
obtained by MAS NMR spectroscopy were acquired as a function of temperature.
For n = 2, no anomaly was observed with a change
in temperature. For n = 3 and 4, the 13C NMR chemical shifts changed slightly, and the direction of the
ferroelastic twin domain wall changed, indicating that the phase transition
was in the order–disorder type without significant changes
near TC. Also, 1H T1ρ decreased with increasing length of the CH2chain, indicating that the energy transfer became very easy.
It is expected that these results will be used in potential applications.
Experimental Method
Single crystals of [NH3(CH2)NH3]MnCl4 (n = 2, 3, and 4) were grown by slow evaporation
at 300 K in an aqueous
solution containing NH2(CH2)NH2·2HCl (Aldrich, 98%) and MnCl2 (Aldrich, 98%).The structures of the three crystals at 300
K were determined by
X-ray diffraction (PANalytical, X’Pert PRO MPD) with a Cu Kα
radiation source at the Korea Basic Science Institute (KBSI) Seoul
Western Center. The lattice parameters were determined by single-crystal
X-ray diffraction at the same facility. The crystals were mounted
on a Bruker D8 VENTURE equipped with a 1 μS micro-focus sealed
tube Mo Kα and a PHOTON III M14 detector.DSC (DSC 25,
TA Instruments) was performed at a scan rate of 10
K/min in the temperature range 200–480 K under nitrogen gas.
TGA was performed on a thermogravimetric analyzer (TA Instruments)
in the temperature range 300–870 K at a heating rate of 10
K/min.Ferroelastic domain walls in the (001) plane were studied
using
an optical polarizing microscope. A hot stage that was capable of
withstanding the temperature required for single crystals (Linkam
THMS 600) was used.1H NMR spectra of the [NH3(CH2)NH3]MnCl4crystals
were obtained at KBSI Seoul Western Center using a 400 MHz AVANCE
II + Bruker solid-state NMR spectrometer equipped with 4 mm MAS probes.
The MAS 1H NMR and MAS 13C NMR spectra were
recorded at a Larmor frequency of 400.13 and 100.61 MHz, respectively.
The MAS rate to minimize the spinning sideband overlap was 10–12
kHz. The NMR chemical shifts were recorded using tetramethylsilane
(TMS) as the standard. The 1H T1ρ values were obtained using the π/2−τ sequence
method by changing the spin-locking pulses; the width of the π/2
pulse for 1H was ∼3.75 μs. The temperature
variation was obtained within an error range of ±0.5 K by adjusting
the nitrogen gas flow and heater current.
Authors: Yongtao Liu; Liam Collins; Roger Proksch; Songkil Kim; Brianna R Watson; Benjamin Doughty; Tessa R Calhoun; Mahshid Ahmadi; Anton V Ievlev; Stephen Jesse; Scott T Retterer; Alex Belianinov; Kai Xiao; Jingsong Huang; Bobby G Sumpter; Sergei V Kalinin; Bin Hu; Olga S Ovchinnikova Journal: Nat Mater Date: 2018-08-27 Impact factor: 43.841