Kun Zhao1, Haoran Lv1, Jingke Meng1, Zhenhua Song1, Cheng Meng2, Maocheng Liu3, Ding Zhang4. 1. State Key Laboratory of Advanced Processing and Recycling of Nonferrous Metals, Lanzhou University of Technology, Lanzhou 730050, P. R. China. 2. Jiangxi Province Key Laboratory of Polymer Micro/Nano Manufacturing and Devices, School of Chemistry, Biology and Materials Science, East China University of Technology, Nanchang 330013, P. R. China. 3. School of Materials Science and Engineering, Lanzhou University of Technology, Lanzhou 730050, P. R. China. 4. School of Materials Science and Engineering, National Institute for Advanced Materials, Nankai University, Tianjin 300350, P. R. China.
Abstract
Triboelectric nanogenerators (TENGs) have shown huge application potential in the fields of micro-nano energy harvesting and multifunctional sensing. However, the damage of triboelectric material is one of the challenges for their practical applications. Herein, we fabricated a flexible TENG employing self-healing hydrogel and fluorinated ethylene propylene film as triboelectric materials for mechanical energy harvesting and pressure monitoring. The prepared hydrogel not only has excellent flexibility, transparency, and self-healing property but also exhibits good mechanical property without plastic deformation and damage under a large stretchable strain of 200%. The output electric signals of TENGs are as high as 33.0 V and 3 μA under a contact frequency of 0.40 Hz and a pressure of 2.9 N, respectively, which can charge a capacitor of 0.22 μF to 24.3 V within 300 s. Note that the voltage retention rate of TENGs after self-healing is up to 88.0%. Moreover, hydrogel-based TENGs can act as a wearable pressure sensor for monitoring human motion, exhibiting a high sensitivity of 105.9 mV/N or 1.73 nA/N under a contact frequency of 0.40 Hz. This research provides a reference roadmap for designing TENGs and self-powered pressure sensors with flexibility, self-healing, and robustness.
Triboelectric nanogenerators (TENGs) have shown huge application potential in the fields of micro-nano energy harvesting and multifunctional sensing. However, the damage of triboelectric material is one of the challenges for their practical applications. Herein, we fabricated a flexible TENG employing self-healing hydrogel and fluorinated ethylene propylene film as triboelectric materials for mechanical energy harvesting and pressure monitoring. The prepared hydrogel not only has excellent flexibility, transparency, and self-healing property but also exhibits good mechanical property without plastic deformation and damage under a large stretchable strain of 200%. The output electric signals of TENGs are as high as 33.0 V and 3 μA under a contact frequency of 0.40 Hz and a pressure of 2.9 N, respectively, which can charge a capacitor of 0.22 μF to 24.3 V within 300 s. Note that the voltage retention rate of TENGs after self-healing is up to 88.0%. Moreover, hydrogel-based TENGs can act as a wearable pressure sensor for monitoring human motion, exhibiting a high sensitivity of 105.9 mV/N or 1.73 nA/N under a contact frequency of 0.40 Hz. This research provides a reference roadmap for designing TENGs and self-powered pressure sensors with flexibility, self-healing, and robustness.
As technology continues to advance, flexible wearable electronics
gradually show huge application potential in electronic skin (E-skin),[1,2] soft robotics,[3,4] health monitoring,[5,6] and other aspects in human daily lives.[7] However, as traditional power supply methods, batteries and capacitors
require frequent charging and maintenance due to limited capacitance,
which affect the continuous operation and stability of wearable electronics,
especially in harsh environments.[8,9] At the same
time, discarded batteries/capacitors also cause serious pollution
to the environment.[10−14] Therefore, developing high-performance sustainable energy technologies
becomes one of the important research topics. In 2012, Wang’s
group first invented the triboelectric nanogenerator (TENG) that can
convert various kinds of mechanical energies into electrical energy
for self-powered electronics,[15] such as
human motion energy,[16] vibration energy,[17,18] wind energy,[19,20] rain drop energy,[21] water wave energy,[22,23] and sound energy.[24,25] With continuous research and
progress, the output performance of TENGs have been greatly improved,[26−34] which facilitates their practical process in daily life. It plays
a very good supplementary role to traditional energy and is of great
significance to the realization of carbon neutrality goals.As a new intrinsically conductive material, polymeric hydrogels
have adjustable conductivity, excellent self-healing performance,
and good biocompatibility, thus showing great potential applications
in soft robots, biomimetic prostheses, health monitoring, and wearable
electronics.[35−38] The hydrogel-based TENGs have already attracted great attention
and obtained satisfactory achievement by hydrogel structure design
and optimization.[39−42] Pu et al. fabricated a flexible sandwich-structured TENG based on
a polyacrylamide hydrogel as an electrode for harvesting biomechanical
energy and acting as an E-skin.[41] However,
this TENG does not possesses self-healing property and cannot work
normally after damage. Sun et al. developed a polyacrylamide/gelatin/PEDOT:PSS
composite hydrogel that has good flexibility, stretchability, and
sensitivity to stress.[42] As the electrode
of a sandwich-structured TENG, only the hydrogel has good self-healing
property, and TENG cannot work normally when the charged layer is
damaged. In addition, a linear silicone-modified polyurethane coating
and a temperature-responsive polycaprolactone film as self-healing
friction layers have been used to fabricate TENGs, which is of great
significance to prolong the service life of TENGs.[43,44] Thus far, there are no reports on the use of self-healing hydrogels
as triboelectric materials to fabricate TENGs.Here, we report
a novel TENG based on a flexible and transparent
hydrogel with excellent self-healing property directly as a triboelectric
material, which shows great potential for a broad range of applications
in mechanical energy harvesting and pressure monitoring. After being
stretched to 200% strain, the hydrogel still shows good mechanical
performance without plastic deformation. After a complete self-healing
process, a cut hydrogel as the friction material can still give TENG
high output performance with a large voltage retention rate of 88%.
A hydrogel-based wearable array sensor exhibits a high sensitivity
of 105.9 mV/N or 1.73 nA/N, showing great application potential in
self-powered wearable sensing systems.
Experimental
Section
Preparation of Self-Healing Hydrogels
The self-healing hydrogels were prepared using a simple one-pot method.
Typically, acrylamide (AM) (7.029 g) and diacetone acrylamide (DAAM)
(0.169 g) were added into a distilled water solution (20 mL) and stirred
well. Then, polyvinylpyrrolidone (PVP-K30, Mw = 5.0 × 104 g/mol) (0.34 g), adipic dihydrazide
(ADH) (0.087 g), and ammonium persulfate (APS) (0.05 g) were added
in the above mixed solution in sequence. After stirring for 1 h and
standing for 3 h, the solution was poured into glass molds measuring
8 × 7 × 1 mm and protected with nitrogen and then heated
at 40 °C for 6 h to obtain a self-healing hydrogel with a thickness
of 1 mm.
Fabrication of the TENG and Sensor
First, the self-healing hydrogel, fluorinated ethylene propylene
(FEP) film, and aluminum (Al) foil were cut into squares with dimensions
of 5.0 × 5.0 cm each. Then, using a laser cutting machine, two
acrylic plates were cut with dimensions of 6.0 × 6.0 cm as supports.
Finally, the cut Al electrode and triboelectric materials were closely
adhered to the acrylic plates to construct the TENG.A 2 ×
2 sensor array consists of 4 small TENGs with a size of 2.0 ×
2.0 cm, in which the back of the TENG electrode is supported by PDMS
with a size of 8.0 × 8.0 cm × 200 μm, the distance
between each sensor unit is 1 cm, and the device is surrounded by
elastic sponge as a flexible support.
Characterization
and Measurement
Infrared spectra were recorded on a Fourier
transform infrared (FTIR,
Nexus 670) spectrometer from 400 to 4000 cm–1. Measurement
of lyophilized samples of self-healing hydrogels was done using the
KBr particle method. The morphologies of the hydrogel were observed
using a scanning electron microscope (Quanta 450) and a laser scanning
confocal microscope (LSM800 Carl Zeiss, Germany). The force was provided
by a linear motor (LinMot 1100) and measured by a force sensor (BSCC-H2).
The output voltage and current signals of the TENG were obtained by
using a mixed domain oscilloscope (Tektronix MDO3014) and a system
electrometer (Keithley 2611B), respectively.
Results and Discussion
Figure a shows
the preparation process of the self-healing hydrogel. Using APS as
an initiator, AM and DAAM as monomers were free-radically copolymerized
to form long chains of PAM-co-DAAM. The ketone group
in the long chain reacts with the hydrazide of ADH to form an acylhydrazone
bond as the first cross-linking point and can improve the toughness
and stretchability of the hydrogel.[45] Moreover,
PVP can synergize with the CONH2 functional groups of PAM-co-DAAM to generate hydrogen bonds to form a second cross-link.[46] The FTIR spectrum of the hydrogel shows that
the stretching bands at 3435, 1630, and 1097 cm–1 correspond to the characteristic absorption bands of O–H,
C=O, and C–N in ADH, respectively (Figure S1). The self-healing principle of the hydrogel is
displayed in Figure b. When the hydrogel is cut, owing to the hydrogen bonds between
PVP chains and the CONH2 functional groups of PAM-co-DAAM, the hydrogel can be repaired spontaneously without
external interference. After self-healing for 12 h, the two hydrogels
can self-heal well under the dynamic cleavage and reconstruction of
hydrogen bonds and the rearrangement of polymer segments. The process
of forming hydrogen bonds is shown in Figure c.
Figure 1
(a) Schematic diagram for the preparation process
of the self-healing
hydrogel. (b,c) Self-healing principle diagram of the hydrogel. (d)
Demonstration of tensile property of the self-healing hydrogel. (e)
Demonstration of tensile property of the self-healing hydrogel after
self-healing. (f) Stretched length and corresponding tensile force
curves of self-healing hydrogel from the first to fifth stretches.
(g) Demonstration of flexibility of self-healing hydrogel: bending
and twisting.
(a) Schematic diagram for the preparation process
of the self-healing
hydrogel. (b,c) Self-healing principle diagram of the hydrogel. (d)
Demonstration of tensile property of the self-healing hydrogel. (e)
Demonstration of tensile property of the self-healing hydrogel after
self-healing. (f) Stretched length and corresponding tensile force
curves of self-healing hydrogel from the first to fifth stretches.
(g) Demonstration of flexibility of self-healing hydrogel: bending
and twisting.Note that the obtained hydrogel
has a typical porous network morphology
of the gel matrix after freeze-drying, indicating the formation of
the hydrogel (Figure S2a,b). Also, the
LSCM images showed that the surface of the hydrogel before freeze-drying
was smooth (Figure S2c,d). To examine the
tensile properties of the hydrogels, the prepared hydrogels with a
thickness of 1.0 mm were dyed red and green, respectively, and then
cut into strips of 1.0 × 6.0 cm (Figure S3a). The two ends were clamped for 0.5 cm and then slowly stretched.
As can be seen from Figures d and S4, the clamped hydrogels
can be stretched from 5.0 to 15.0 cm with a stretchable strain of
200%. Note that when the two hydrogels were cut from the middle (Figure S3b), self-healing process could be completed
within 12 h and the original tensile properties could be maintained
(Figure e). To explore
the mechanical properties of the hydrogel, the relationship between
the stretched length of the hydrogel and corresponding tensile force
was measured. As shown in Figure f, the hydrogel with a width of 1.0 cm was gradually
elongated from 5.0 to 15 cm, and the tensile force was also gradually
increased from 0 to 0.71 N. During the recovery process, the pulling
force was gradually reduced from 0.71 to 0 N, showing excellent stability
for 5 cycles. This indicates that the hydrogel has good elastic deformation
properties without irreversible deformation during the stretching-recovery
process from 5.0 to 15.0 cm. In addition, the photographs of the prepared
self-healing hydrogels in the bending and twisting states are displayed
in Figure g, showing
good transparency and excellent flexibility.To further explore
the application value of the self-healing hydrogel
in energy-harvesting and self-powered sensing system, we designed
a TENG and a wearable pressure sensor based on the hydrogel, respectively. Figure a shows the schematic
diagram of the TENG with a contact-separation mode fixed on a linear
motor. The self-healing hydrogel and FEP film were used as triboelectric
materials with a size of 5.0 × 5.0 cm, Al foils were used as
electrodes, and acrylic sheets were used as support materials. Figure b,c shows the structure
diagram and optical image of the wearable pressure sensor, which contains
four TENGs individually with the size of 2.0 × 2.0 cm. Figure d is a schematic
diagram of the working principle of the TENG. Its work process can
be divided into four steps: (I) When pressing the TENG, the FEP film
contacts with the hydrogel film, and the equal and opposite charges
are generated on the surface of FEP (negative charge) and hydrogel
(positive charge) films due to the triboelectrification. (II) When
removing the external force, the FEP film separates from the hydrogel
film. Owing to electrostatic induction, the electron flows from the
upper Al electrode to the bottom Al electrode, and the opposite charges
are generated on two Al electrodes, while negative charges are generated
by the FEP film. In this process, a current was produced from the
bottom to upper electrodes. (III) When the FEP film recovers to its
original state, there is no electron flow between the two electrodes
owing to the electrostatic balance. (IV) when pressing the TENG again,
the electrostatic balance is broken, and the electron flows from the
bottom to the upper Al electrode, corresponding to an opposite current
direction compared with step II. The potential difference and potential
distribution of the two electrodes of the TENG were theoretically
simulated using COMSOL modeling, and the results are shown in Figure e.
Figure 2
(a,b) Schematic diagram
of the self-healing hydrogel-based TENG
(a) and pressure array sensor (b). (c) Photograph of the pressure
array sensor. (d) Working principle of TENG. (e) Simulation calculations
of the electric potential distribution of TENG between contacting
interfaces by COMSOL software.
(a,b) Schematic diagram
of the self-healing hydrogel-based TENG
(a) and pressure array sensor (b). (c) Photograph of the pressure
array sensor. (d) Working principle of TENG. (e) Simulation calculations
of the electric potential distribution of TENG between contacting
interfaces by COMSOL software.To measure the output performance of the hydrogel-based TENG with
a size of 5.0 × 5.0 cm (Figure a) under different conditions, we systematically studied
the output voltages and currents of the TENG under different working
frequencies and forces. First, we measured the effect of different
frequencies on the output performance of the device at 1.7 N. As shown
in Figure a,b, as
the contact frequencies gradually increased from 0.10 to 0.40 Hz,
the open-circuit voltages/short-circuit currents increased from 2.0
V/0.3 μA to 8.0 V/0.9 μA, respectively. The improvement
of the output performance is attributed to the increase of the electrostatic
induction rate induced by the faster contact frequency, thus increasing
the charges migration rate. Then, we further studied the output performance
of the TENG under different pressure conditions and a constant contact
frequency of 0.40 Hz. With the increase of the forces from 1.7 to
2.9 N, the corresponding output voltages/currents increase from 7.0
V/0.9 μA to 33.0 V/3.0 μA, respectively (Figure c,d). This is due to the increase
of the contact area and degree between the hydrogel and the FEP film,
which promotes the charge generation, thereby enhancing the output
performance. The above research illustrates that the hydrogel-based
TENG is sensitive to contact frequency and pressure, showing huge
application potential in frequency and pressure monitoring. To determine
the authenticity of the output signals of TENG, the circuit is connected
through forward and reverse connections. The output performance of
the TENG with the two connection modes above were measured under a
pressure of 2.9 N and a contact frequency of 0.40 Hz (Figure e,f). The output voltages/currents
are approximately 34.0 V/3.5 μA and −34.0 V/–3.5
μA, respectively. Despite the change in the circuit’s
forward and reverse connections, the absolute values of output electrical
signals were unchanged, which confirms the authenticity of the output
signals. It is worth noting that there is no obvious wear phenomenon
on the hydrogel surface when the TENG runs continuously for 6 h (Figure S5), indicating that the device has good
stability. In addition, in order to test the output performance change
of the hydrogel-based TENG before cutting and after self-healing,
the TENGs were constructed using the hydrogel before cutting and after
self-healing as the triboelectric materials (Figure S6), respectively. Figure S7a,b shows
the output voltage and current signals of the TENGs under a pressure
of 2.9 N and a frequency of 0.40 Hz, the open-circuit voltage is reduced
from 34.0 V before cutting to 30.0 V after self-healing, and the corresponding
short-circuit current is reduced from 3.0 to 2.5 μA. It can
be seen from the calculations that the output voltage and current
retention rates of the TENG fabricated with the self-healed hydrogel
current are as high as 88 and 83%, respectively, indicating excellent
stability of the TENG. Note that both the output voltages and currents
of the TENG increased with the increase of healing time, and when
the hydrogel was completely healed, the output performance of TENG
almost reached the level before cutting (Figure S8a,b). Figure g displays the measured output currents and calculated powers of
the TENG under different external loading resistances at a pressure
of 2.9 N and a contact frequency of 0.40 Hz, showing that the output
current decreases with the increase in the external loading resistance.
According to the formula P = I2R, the output power of the TENG under different
external loading resistances could be calculated. As the picture shows,
the corresponding output power first increases and then decreases
rapidly. Moreover, the optimum output power of the TENG is about 383
μW under a loading resistance of 70 MΩ. In order to facilitate
the use for tiny electronic devices, the produced electric energy
from the TENG by harvesting mechanical energy is usually stored in
capacitors or batteries. We studied the charging performance of the
capacitors with different capacities. Note that a rectifier is required
to connect to the TENG to convert the alternating current generated
by the TENG into direct current for charging purposes. As illustrated
in Figure h, the smaller
the capacitor capacity, the faster the increase in voltage in the
charging process. The 0.22 μF capacitor voltage can be charged
from 0 to 24.3 V in approximately 295 s, while the 0.33, 10, and 22
μF capacitor voltages can be charged to 11.7, 2.2, and 1.2 V,
respectively. The charging results show that the electrical energy
generated by the TENG can be successfully stored in the capacitor,
which provides the possibility for the continuous operation of the
microelectronic devices.
Figure 3
(a,b) Measured output voltage (a) and current
(b) signals of TENG
under different frequencies (0.10–0.40 Hz) at 1.7 N. (c,d)
Measured output voltage (c) and current (d) signals of TENG under
different pressures (1.7–2.9 N) at 0.40 Hz. (e,f) Measured
output voltage (e) and current (f) signals of TENG under forward connection
and reversed connection at 2.9 N and 0.40 Hz. (g) Measured output
currents and calculated output powers of TENG under different loads
at 2.9 N and 0.40 Hz. (h) Charging curves of capacitors with different
capacitances driven by TENG at 2.9 N and 0.40 Hz.
(a,b) Measured output voltage (a) and current
(b) signals of TENG
under different frequencies (0.10–0.40 Hz) at 1.7 N. (c,d)
Measured output voltage (c) and current (d) signals of TENG under
different pressures (1.7–2.9 N) at 0.40 Hz. (e,f) Measured
output voltage (e) and current (f) signals of TENG under forward connection
and reversed connection at 2.9 N and 0.40 Hz. (g) Measured output
currents and calculated output powers of TENG under different loads
at 2.9 N and 0.40 Hz. (h) Charging curves of capacitors with different
capacitances driven by TENG at 2.9 N and 0.40 Hz.To demonstrate the application potential of self-healing hydrogel-based
TENG in wearable pressure sensors, a 2 × 2 sensor array consisting
of four small-scale TENGs was constructed. It is important to analyze
the response of the output performance to contact frequency and pressure. Figure a,b shows the output
voltage and current signals of the four channels of the sensor under
conditions of constant pressure (15 N) and different frequencies,
respectively. It can be seen that when the contact frequency is 0.20
Hz, the output voltage of the channel 1 is 0.9 V, and the corresponding
current is approximately 45 nA. As the frequency increases, the output
electrical signals also increase accordingly. At 0.33 and 0.40 Hz,
the output voltage/current signals are 1.3 V/56 nA and 1.8 V/68 nA,
respectively. The output signals of channel 2, 3, and 4 have the same
trend and similar values. Figure c,d further presents the output variation of the four
channels at different pressures at a constant contact frequency of
0.40 Hz. Similar to the effect of contact frequency, with the increase
of applied pressure from 15 to 28 N, the generated electrical signals
of four channels all gradually increase from ∼1.9 V/67 nA to
∼3.4 V/94 nA. To measure the sensitivity of the pressure sensor,
we have fitted the linear relationship between pressure and output
voltage/current peaks at different contact frequencies. As shown in Figure e,f, for the pressure
sensor, both the output voltage and current signals show an excellent
linear relationship with applied pressures. The slope of the fitted
curves represents the sensitivity of the sensor to pressure. At 0.20
Hz, the calculated sensitivities of the pressure sensor from voltage
and current are 91.0 mV/N and 2.315 nA/N, respectively. When the contact
frequencies are 0.33 and 0.4 Hz, the corresponding sensitivities are
97.2 mV/N/2.16 nA/N and 105.9 mV/N/1.73 nA/N, which shows good sensitivity
of the pressure sensor applied under different contact frequencies.
Figure 4
(a,b)
Measured output voltage (a) and current (b) signals of the
four channels of the sensor under different frequencies at 15 N. (c,d)
Measured output voltage (c) and current (d) signals of the four channels
of the sensor under different pressures at 0.40 Hz. (e) Linear fitting
curves between the output voltages and pressures of the sensor under
different frequencies. (f) Linear fitting curves between the output
currents and pressures of the sensor under different frequencies.
(a,b)
Measured output voltage (a) and current (b) signals of the
four channels of the sensor under different frequencies at 15 N. (c,d)
Measured output voltage (c) and current (d) signals of the four channels
of the sensor under different pressures at 0.40 Hz. (e) Linear fitting
curves between the output voltages and pressures of the sensor under
different frequencies. (f) Linear fitting curves between the output
currents and pressures of the sensor under different frequencies.The fabricated 2 × 2 array pressure sensor
above can act as
a wearable pressure sensor for motion monitoring. First, we examined
the practical effect of the motion sensor, as shown in Figure a. A finger presses the four
individual sensor units from channel 1 to 4 in sequence, then from
channel 4 to 1; each channel produces the corresponding induction
signals in turn. Note that no electrical signal output is detected
in the unit where no force is applied. Due to the different pressures
of the fingers, the generated signals also vary from 0.33 to 0.98
V. The corresponding test photos of pressing the four channels with
fingers are shown in Figure b–e. Figure f is the sensor output voltage signals measured as the volunteer
periodically straightens and bends his elbow; the corresponding test
photos are displayed in Figure g,h, respectively. When the elbow is straightened, the sensor
has no voltage signal output, but when the elbow is first bent and
then straightened, the four channels of the sensor can simultaneously
generate four similar electrical signals. Due to the different positions
of each channel, the magnitude of the signal induced by it is also
different, ranging from 1.69 to 2.36 V. Moreover, when the elbow is
bent at different angles, each sensor unit detects different output
voltage signals, showing huge application potential in monitoring
motion.
Figure 5
(a) Measured output voltage signals of the sensor when the right
index finger presses the four channels in turn. (b–e) Photographs
of the right index finger pressing sensor channel 1 (b), channel 2
(c), channel 3 (d), and channel 4 (e). (f) Measured output voltage
signals of the four channels of the sensor when the elbow is flexed.
(g,h) Photographs of the person wearing a sensor, straightening (g)
and flexing (h) the elbow.
(a) Measured output voltage signals of the sensor when the right
index finger presses the four channels in turn. (b–e) Photographs
of the right index finger pressing sensor channel 1 (b), channel 2
(c), channel 3 (d), and channel 4 (e). (f) Measured output voltage
signals of the four channels of the sensor when the elbow is flexed.
(g,h) Photographs of the person wearing a sensor, straightening (g)
and flexing (h) the elbow.
Conclusions
In summary, this work presents a novel
and simple self-healing
hydrogel-based TENG and sensor for efficient mechanical harvesting
and motion monitoring. Through structure design and regulation, a
flexible and transparent hydrogel was prepared with excellent self-healing
property. Moreover, the prepared self-healing hydrogel shows good
mechanical properties without plastic deformation even at a large
stretchable strain of 200%. Under a contact frequency of 0.40 Hz and
a pressure of 2.9 N, the fabricated TENG generates the output electrical
signals of 33.0 V and 3 μA, respectively, which can be used
to charge capacitors. Comparing the output performance changes of
the hydrogel-based TENG and the healed hydrogel-based TENG, it was
found that the latter does not decrease significantly. As a wearable
array pressure sensor based on several individual TENGs, a high sensitivity
of 105.9 mV/N can be realized. Moreover, the output signals of the
sensor are different under different motion states of the human body.
The study demonstrates the potential application of self-healing hydrogels
as triboelectric layers for TENGs and wearable triboelectric pressure
sensors.
Authors: Darren J Lipomi; Michael Vosgueritchian; Benjamin C-K Tee; Sondra L Hellstrom; Jennifer A Lee; Courtney H Fox; Zhenan Bao Journal: Nat Nanotechnol Date: 2011-10-23 Impact factor: 39.213