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REVIEW
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Gallium-Based Liquid–Solid Biphasic Conductors for Soft
Electronics
Manuel Reis Carneiro, Carmel Majidi,* and Mahmoud Tavakoli*
Soft and stretchable electronics have diverse applications in the fields of
compliant bioelectronics, textile-integrated wearables, novel forms of
mechanical sensors, electronics skins, and soft robotics. In recent years,
multiple material architectures have been proposed for highly deformable
circuits that can undergo large tensile strains without losing electronic
functionality. Among them, gallium-based liquid metals benefit from fluidic
deformability, high electrical conductivity, and self-healing property. However,
their deposition and patterning is challenging. Biphasic material architectures
are recently proposed as a method to address this problem, by combining
advantages of solid-phase materials and composites, with liquid deformability
and self-healing of liquid phase conductors, thus moving toward scalable
fabrication of reliable stretchable circuits. This article reviews recent biphasic
conductor architectures that combine gallium-based liquid-phase conductors,
with solid-phase particles and polymers, and their application in fabrication of
soft electronic systems. In particular, various material combinations for the
solid and liquid phases in the biphasic conductor, as well as methods
used to print and pattern biphasic conductive compounds, are discussed.
Finally, some applications that benefit from biphasic architectures
are reviewed.
1. Introduction
Soft electronics is a rapidly growing discipline with a wide
range of potential applications across multiple fields such
M. Reis Carneiro, M. Tavakoli
Institute of Systems and Robotics
Department of Electrical and Computer Engineering
University of Coimbra
Coimbra 3030-290, Portugal
E-mail: mahmoud@isr.uc.pt
M. Reis Carneiro, C. Majidi
Soft Machines Lab
Department of Mechanical Engineering
Carnegie Mellon University
Pittsburgh, PA 15213, USA
E-mail: cmajidi@andrew.cmu.edu
The ORCID identification number(s) for the author(s) of this article
can be found under https://doi.org/10.1002/adfm.202306453
© 2023 The Authors. Advanced Functional Materials published by
Wiley-VCH GmbH. This is an open access article under the terms of the
Creative Commons Attribution-NonCommercial License, which permits
use, distribution and reproduction in any medium, provided the original
work is properly cited and is not used for commercial purposes.
DOI: 10.1002/adfm.202306453
as bioelectronics,[1–7 ] wearable comput-
ing,[8–11 ] and soft robotics.[12,13,22,14–21 ] In
recent years, multiple conductive materials
and fabrication approaches have been
proposed for implementation of highly
deformable circuits, some of which can
withstand large tensile strains without
losing electronic functionality.[13,23–26]
Stretchable functionality in electronic
conductors has been accomplished ei-
ther by engineering mechanically de-
formable structures (wrinkles,[27–33 ]
serpentines,[34–42 ] kirigami-inspired
structures[43–52 ]) based on rigid metallic
conductors (as depicted in Figure 1A–C)
or by employing conductive materials
that are intrinsically stretchable, for in-
stance, metallic alloys that are liquid at
room temperature[53–60 ] (Figure 1D) or
elastomers filled with conductive particles
such as carbon[59,61–67 ] or silver[61,68–74 ]
(Figure 1E,F). This last approach has the
advantage of enabling direct printing of
soft electronic circuits using low cost and
easily scalable methods that contrast with
the complex methods of patterning and
etching conventional rigid metals.[23,59,75 ]
Compared to conductive, particle-filled, elastomer composites,
liquid metal offers higher electrical conductivity with reduced
electromechanical coupling (gauge factor), superior stretchabil-
ity, and deformability with negligible hysteresis, self-healing ca-
pabilities, and lower resistance to mechanical fatigue.[76] These
properties ensure efficient signal transmission, reduced power
consumption, and increased durability in stretchable electronic
devices.
Common liquid metal-based circuit fabrication techniques
include injection moulding into preformed microfluidic
channels,[77–80 ] contact printing,[81–84 ] freeze casting[85,86 ] or
soft lithography.[87–89 ] However, these methods face challenges
related to the high surface tension of liquid metal making it
difficult to pattern complex and intricate designs with high
resolution.[90–92 ] Moreover, these methods commonly involve
complex manual steps, and are therefore labor-intensive and
time-consuming.[75] The fluidic behavior of pristine liquid metal
(LM), combined with its high surface tension, tendency to form
an oxide layer, and limited adhesion to most surfaces have
prevented reliable direct printing of pristine liquid metals, delay-
ing the development of highly conductive, and high-resolution
stretchable circuits.[80]
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Figure 1. A) Schematic of a stretchable circuit including and LED, based on wrinkled metallic sheets (top) and highly wrinkled stretchable copper
conductor in the relaxed state and stretched up to 125% (bottom). Reproduced under the terms of the CC-BY-NC-ND license.[30] Copyright 2014,
The Authors, published by Wiley-VCH GmbH. B ) Stretchability in noncoplanar electronics with serpentine bridge designs. FEM simulation before
(35% prestrain) and after (70% applied strain) stretching (top) and fabricated circuits in unstretched (90% prestrain) and stretched (140% tensile
strain) states (bottom). Reproduced under the terms of the CC-BY license.[42] Copyright 2008, The Authors, published by National Academy of Science.
C) Stress distribution of periodic kirigami cuts at 0% and 58% strains. Inset shows the fabricated sample under same strain. Adapted with permission.[44]
Copyright 2015, Springer Nature Limited. D) PDMS embedded with laser-patterned inclusions of EGaIn in the relaxed state (left) and stretched (right).
Reproduced under the terms of the CC-BY license.[59] Copyright 2014, The Authors, published by Wiley-VCH GmbH. E) Sample prints of soft electronic
sensors with carbon black filled PDMS (cPDMS). Adapted with permission.[63] Copyright 2017, IOP Publishing. F) Photographs of the stretchable LED
circuitry made from a composite of PDMS@Ag and Ag flakes as the lead connection (red line in the inset) under stretching (left) and folding (right).
Adapted with permission.[72] Copyright 2019, American Chemical Society.
To address the challenges associated with fabrication of liquid
metal based stretchable electronics, researchers are exploring var-
ious material architectures and fabrication techniques. Among
them, biphasic material architectures have received increasing
attention during the last couple of years. These material systems
combine advantage of solid materials in terms of fabrication res-
olution and scalability, with self-healing and deformability of liq-
uid conductors.
In some cases, a biphasic architecture is achieved by first
printing or patterning a solid-phase metallic conductor on a soft
substrate and then subsequently coating the conductor with liq-
uid metal. This typically requires deposition of metals like gold
or copper through vapor deposition or sputtering techniques.
Moreover, clean room lithography is typically used to pattern
the solid conductive film. This is then followed by deposition of
liquid metal conductors that coat, bind, or alloy with the solid
conductor.[93–95]
In other cases, a biphasic ink is first synthesized by mixing liq-
uid metal with solid materials and then deposited on a soft sub-
strate. These composites permit direct deposition over a desired
substrate and subsequent patterning.[96,97 ] In some cases, depo-
sition and patterning are simultaneous thanks to digital printing
techniques.[71,97,98 ]
Although both architectures are discussed in this review ar-
ticle, the primary focus is on the second of the two – i.e. solid–
liquid mixtures of gallium-based liquid metals, with a solid phase
matter that may include polymers, or particles, or a combina-
tion of both, as shown in Figure 2. The goal is to obtain a mate-
rial structure that is printable or can be easily deposited through
commonplace techniques similar to other solid phase conductive
composites, while also embed enough liquid phase conductor to
permit withstanding high mechanical strains, and stable behav-
ior over multiple cycles of mechanical strain.
In terms of the solid phase, the addition of particles such as
copper (Cu),[99] nickel (Ni)[100] or even quartz (SiO2)[101 ] to liq-
uid metal has been explored as a strategy to overcome the chal-
lenges associated with fluidic behavior and high surface ten-
sion. By incorporating these particles without the use of poly-
mers, researchers could develop metal amalgams with consid-
erably higher viscosity than the LM, and from a printable paste.
However, this approach does not address problems related with
poor adhesion of LM to substrates and the smearing behavior of
LM traces when not encapsulated.
By mixing LM with a polymer, easy printability and adhe-
sion to various substrates was achieved yet these LM–polymer
compounds require mechanical or thermal sintering to achieve
conductivity, so that the polymer that surrounds the dispersed
LM droplets is ruptured and the LM can flow into continuous
channels.[102–104 ] To overcome this limitation, ternary biphasic
compounds that include LM, polymers, and particles have been
proposed, allowing for sinter-free stretchable conductors that
are nonsmearing, easily printable and patternable through var-
ious methods, and can adhere to multiple substrates as shown
later.[105]
Furthermore, the use of liquid metals in biphasic conduc-
tors can also provide high thermal conductivity,[103,106] which is
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Figure 2. A) Working principle of biphasic conductors. (i) Solid particles lose conductivity as they separate from each other. (ii) Bulk liquid metal tends
to bead up to form spherical shapes that minimize surface energy when uncontained. (iii) When solid particles and liquid metal are combined, the LM
works as a continuous phase that maintains conductivity between the solid fillers even under strain. B) Various approaches to biphasic conductors have
been proposed including mixtures of (i) liquid metal and solid particles in which silver, gold, nickel, or low melting point metals can be used for the
solid phase, (ii) micro/nanoscale droplets of liquid metal in a soft polymer matrix, and (iii) ternary combinations of liquid metal, solid particles,andsoft
polymers.
important for applications such as thermal management in
stretchable devices.[23,107 ] The use of biphasic material architec-
tures in stretchable conductors has also opened new possibilities
for the implementation of flexible and stretchable electronic de-
vices with improved performance and reliability through novel
fabrication techniques such as digitally controlled direct ink writ-
ing or laser patterning.[23,107 ]
The purpose of this review paper is to provide an overview of
recent advances in metal-based biphasic conductor architectures
and their potential applications in various soft electronic systems.
In particular, we will focus on the various material combinations
for the solid and liquid phases in biphasic conductors as well
as the methods used for materials printing and circuit pattern-
ing. Moreover, we will highlight recent applications of the pre-
sented biphasic conductors across various fields. This review will
provide a comprehensive understanding of the current state-of-
the-art in gallium-based biphasic materials research and provide
some directions for future developments.
2. Liquid–Solid Material Combinations
Various material combinations have been proposed for the solid
and liquid phases used in biphasic conductors. These are pre-
sented in this section and discussed in terms of final conductivity
of the biphasic compound and its stretchability.
For the solid phase, metals such as gold (Au), silver (Ag), cop-
per (Cu), iron (Fe), or nickel (Ni) have been widely used due to
their high conductivity and mechanical stability. These metals are
integrated in the biphasic formulations either in the form of mi-
cro and nanoparticles or as patterned thin films. For the liquid
phase, alloys of gallium (Ga), indium (In), and other low melting
point metals have been used due to their combination of high
electrical conductivity, low viscosity, and ability to readily wet to
solid metals. One other strategy to prepare biphasic liquid–solid
compounds has been to use a noneutectic mixture of metals with
low melting point such as Ga–In and Ga–Sn, leading to the simul-
taneous coexistence of liquid and solid phases of the alloy and the
separate metals.
2.1. LM Wetted over Metallic Films
Li et al.[108 ] reported selective coating of Galinstan (a gallium–
indium–tin alloy with a −19 °C melting point) over lithography-
patterned Au thin films. This method yielded a conductivity of
3.46 ×106Sm
−1and produced circuits that can be twisted more
than 180°or be stretched up to ≈60% for 6000 cycles. Taking ad-
vantage of the wettability properties of liquid metals was further
reported by Hirsch et al.[95] who used gallium to coat thin-film Au
structures. Here the authors further explained that the solid and
liquid phases (Au and eutectic gallium–indium (EGaIn), respec-
tively) alloy together, creating an intermetallic phase composed
of AuGa2particles that improved the stretchability of the circuits
up to 400%. Similarly, Kim et al. in 2009[109 ] proposed the use of
eutectic gallium–indium alloy (EGaIn) as a way to reinforce de-
formable, and potentially breakable joints of patterned Au. The
EGaIn was shown to fill the microcracks that occurred in the rigid
metal, preventing electrical failure at strains up to 30%. More re-
cently, by patterning a kirigami structure in an EGaIn-coated Au
film, Choi et al.[110 ] presented elastic conductive electrodes that
can withstand 820% strain with an increase of only 33% in elec-
trical resistance.
In 2018, Pan et al.[111] proposed a method to pattern thin
Cu films coated with EGaIn into elastic (strain limit >100%)
and optically transparent highly conductive circuits (resistivity =
1.77 ×10−6Ωm). Using selectively wetted EGaIn on Cu traces,
Ozutemiz et al. in 2018[94] introduced a scalable method for fabri-
cation of microelectronic circuits that allows for straightforward
integration and “soldering” of discrete components, leading to
integrated digital circuits with a stretchability of ≈85%.
Regardless of the choice of rigid metal, these architectures
are attractive because they are compatible with conventional
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fabrication techniques that are traditionally used for circuit
manufacturing, including lithographic and printing based tech-
niques. Moreover, leakage of LM is unlikely to happen during
deformation since the liquid metal wets and alloys with the un-
derlying solid traces or particles, thus increasing the durability
of soft circuits.[112 ] Nevertheless, the lithographic methods used
for patterning rigid metals are often complex and labor intensive.
For this reason, there has been growing interest in liquid–solid
biphasic LM compounds that can be directly deposited through
thin-film coating, stencil or screen printing, rod coating, laser
patterning, and digital printing. Through the use of common-
place methods and equipment, and eliminating the need for com-
plex lithography techniques, these biphasic inks are desired for
low-cost and scalable fabrication.
2.2. Liquid Metal–Metal Particle Binary Amalgams
As an effort toward addressing the challenges on deposition and
patterning of liquid metal, some groups demonstrated metallic
amalgams that include a mixture of a gallium-based liquid metal,
with microparticles of various metals.
In 2017, Tang et al.[99] proposed a mixture of EGaIn and Cu
particles that react to form a CuGa2intermetallic phase respon-
sible for reducing the fluidity of pristine EGaIn. This increase in
stability of the liquid metal and improved surface wetting enables
direct manual brush-painting of features over various substrates
with an electrical conductivity of 6 ×106Sm
−1,aswellashigh
thermal conductivity of 50 W m−1K−1. To achieve this mixture,
electrical polarization in an alkaline solution (NaOH) is first used
to remove the oxide layer from the liquid metal and copper par-
ticles. However, since this wet-processing stage introduces water
into the intermediate products, the resulting biphasic mix un-
dergoes vacuum-drying, leading to stable materials resembling
creams, or pastes.
Guo et al.[ 113] proposed a Ni–EGaIn amalgam with tuneable ad-
hesion to substrates depending on the amount of nickel particles
present in the mixture. This is simply achieved by introducing Ni
particles into EGaIn and manually stirring them until the metal
particles are coated with an oxidized layer of EGaIn. This mixing
process also accelerates the oxidation of EGaIn leading to a lower
surface tension. Thanks to the lower surface tension, this com-
pound could be stencil-printed and has a conductivity on the or-
der of 106Sm
−1and can be stretched up to 60%. Similarly, Chang
et al.[114 ] proposed a conductive Ni–EGaIn mixture (conductivity
of 1.75 ×106Sm
−1) with enhanced adhesion to paper thanks to
EGaIn oxide surrounding the nickel powder. This biphasic mix-
ture referred to as GIN is obtained by adding nickel powder to a
beaker containing EGaIn alloy. With stirring, the nickel powder
gradually agglomerates and partially immerses into the EGaIn
alloy and, after continuous stirring, two liquid layers form in
the beaker. The upper layer becomes stickier and lackluster over
time and is referred to as the GIN material. Daalkhaijav et al.[100 ]
similarly proposed a Ni–EGaIn paste that allows printing of 3D
mechanically stable freestanding vertical structures that show a
conductivity of 1.75 ×106Sm
−1and can undergo strains up to
350%. This compound is achieved by simply mixing and sonicat-
ing together Ni powders of various sizes and Galinstan. In 2019,
Guo et al.[ 115] showed another Ni–EGaIn mixture—based on the
same process presented by Guo et al.[113 ]–with conductivity of
1.61 ×106Sm
−1and soft enough to conform well to the human
skin, while Wu et al.[116] showed a similar material architecture
with conductivity in the range of 105–106Sm
−1and that main-
tained conductivity at strains as high as 300% that is achieved
by incorporating nickel (Ni) nanoparticles into liquid GaIn alloy.
The resulting GaIn–Ni mixture retains the flow characteristics
of the liquid metal, enabling excellent liquid processing perfor-
mance. Upon heat treatment, intermetallic compounds (Ga4Ni3
and InNi3) form through a chemical reaction between Ni and
GaIn, resulting in the formation of the biphasic GaInNi mate-
rial. Lastly, Votzke et al.[ 117] mixed Ni particles with liquid Galin-
stan to form a compound that exhibited a conductivity of 2.97 ×
106Sm
−1and stretchability of up to 200 %. To fabricate this com-
pound, the eutectic gallium alloy is placed on top of the metal
powder, and sonication is used to mix them. The authors explain
that Cavitation bubbles formed during sonication disperse the
nickel particles into the liquid metal, while the implosion of the
bubbles leaves behind gallium oxide sheets.
David and Miki[118 ] demonstrated a method for the synthesis of
Au/AuGa2nanoparticle-based encapsulation of sub-micrometer
Galinstan droplets. Oxide-free galvanic replacement is employed
to encapsulate individual sub-micrometer LM droplets with AU.
The authors show that the biphasic multimetallic framework
could be synthesized directly onto substrates to form microscale
encapsulation-based patterns and demonstrated the possibility of
sintering the biphasic Au-LM droplets to obtain flexible conduc-
tive circuits.
In 2018, Tavakoli et al.[119 ] proposed coating inkjet-printed
traces of silver nanoparticle (AgNP) ink with a thin layer of
EGaIn, thus increasing the electrical conductivity of printed
traces by six-orders of magnitude (up to 4.85 ×106Sm
−1)and
significantly improving tolerance to tensile strains up to 80%.
The full process begins by depositing an ink of AgNPs onto a
polymeric film using an inkjet printer. Subsequently, drops of
EGaIn (a gallium–indium liquid metal alloy) are deposited onto
the circuit and rubbed with a lint-free cloth to ensure full cov-
erage. Finally, any excess EGaIn is removed by applying a weak
aqueous solution of acetic acid. It was found that the liquid metal
is able to aggregate the AgNPs into larger clusters that lead to
an electrically conductive percolative network. This results in a
room-temperature “sintering” technique that turns nonconduc-
tive AgNP traces into conductive and stretchable lines. Using this
method, they showed ultrathin electronics over temporary tat-
too paper that could be transferred and conformed to complex
3D surfaces. Using a similar technique and synthesis method in
2020, Silva et al.[120 ] demonstrated high-resolution stretchable cir-
cuits with a trace width as low as 20 μm, through combination of
inkjet printing of silver nanoparticles and liquid metal deposi-
tion. The authors showed that the Galinstan coating selectively
wets to the printed AgNPs, resulting in highly conductive (6.65
×106Sm
−1) circuits that can withstand strains up to 100–200%.
2.3. Trinary Biphasic Composites
Although binary compositions of liquid metal and metal parti-
cles permitted a more stable deposition of the amalgam on the
substrate, these amalgams usually lack sufficient adhesion to a
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soft substrate. This results in circuits that can easily smear and
necessitates the use of polymer seals or other forms of circuit en-
capsulation. Moreover, fabrication of high-resolution circuits has
not been demonstrated using these amalgams.
For fabrication of reliable circuits using LM-based composites,
several factors should be considered. These include adhesion of
the ink to the substrate, being nonsmearing to touch, and being
able to hold liquid metal particles within the composite, when the
traces are subject to mechanical strain.
In 2021, Lopes et al.[98] implemented a trinary composite,
that included Ag microflakes, EGaIn, and matrix of styrene–
isoprene–styrene (SIS) block copolymer. This results in a nons-
mearing, highly adhesive, and elastic biphasic paste that could be
printed using extrusion-based methods. Circuits fabricated with
this biphasic “ink” were shown to be highly stretchable (with a
maximum strain of more than 600%), and to have high conduc-
tivity (7.02 ×105Sm
−1) with a modest gauge factor of 0.9. As
well, the authors demonstrated the important role of the liquid
metal in improving the stretchability (5×increase) and reducing
the gauge factor (≈27×decrease) of the printed conductor, when
compared to a similar formulation without EGaIn and only solid
Ag microflakes dispersed on a polymeric binder.
In 2022, Zu et al.[71] studied how the choice of Ag microflakes
affects the electrical and electromechanical properties of the Ag–
EGaIn composite proposed by Lopes et al.[98] When comparing
the composite with different silver flakes, the authors demon-
strated that there is a 176% relative difference in conductivity,
>600 % difference in strain limit, and 277% relative difference
in electromechanical coupling for the fabricated biphasic com-
pound. Nevertheless, with specific Ag microflakes, Ag–EGaIn–
SIS inks that have conductivity as high as 6.38 ×105Sm
−1and a
strain limit of over 1000%, with low electromechanical coupling
could be synthesized. This same composite was further shown
to have even better stretchability as shown in Lopes et al.[121 ]
(conductivity of 8.21 ×105Sm
−1and maximum stretchability
of 1200%) and Tavakoli et al.[97] (conductivity of 2.10 ×105Sm
−1
and maximum stretchability of 1700%), and prints with resolu-
tion higher than 30 μm have been described. Moreover, in these
more recent works, methods for direct integration of rigid mi-
crochips and surface mount devices (SMD components) were
proposed allowing for implementation of complex stretchable cir-
cuits that can as well be decomposed into its constituent elements
and recycled. SMD chip integrated circuits were shown to have a
stretchability of over 600%, and both components and ink metals
could be recycled.[97]
Hajalilou et al.[105 ] presented a broad study on a series of
biphasic liquid metal composites for sinter-free writing of com-
plex stretchable circuits. Once again, the biphasic microparticle–
EGaIn mixture was dispersed in a block-co-polymer binder and
various solid particles were studied, including Ag flakes, Ag-
coated-Ni, Ag-coated-Fe, Ni, ferrite, or TiC. The authors demon-
strated that a binary combination of Ag–EGaIn or EGaIn–SIS
does not result in the desired properties, and only a trinary com-
bination with conductive microparticles (μPs), preferably Ag, re-
sults in a printable, stretchable, and sinter-free composite. They
also showed that while Ag microparticles (AgμPs) lead to a non-
smearing highly conductive paste, the same did not happen with
Ag-coated-Ni, Ag-coated-Fe which, despite the lower cost and
similar conductivity, lead to more LM smearing out of printed
traces during straining. Moreover, tests with Fe–EGaIn–SIS and
Ni–EGaIn–SIS showed that while the compound was still print-
able and adhesive to the substrate, it was, however, susceptible to
smearing. Finally, by synthesizing a TiC–EGaIn–SIS compound,
using nonconductive TiC μPs, the authors demonstrated that the
solid particles in LM-μP biphasic compounds should be conduc-
tive, to create a percolating network between isolated LM droplets
within the polymeric matrix.
More recently, Reis Carneiro et al.[122] proposed the use of an
eco-friendly water-based polyurethane dispersion (WPU) in con-
junction with EGaIn and Ag microparticles to formulate a bipha-
sic conductive ink with low environmental impact that presents
a conductivity of 1.6 ×105Sm
−1and maximum stretchability
of 200%. Moreover, this composite is shown to adhere to both
polymeric thin-film substrates for printing and to conventional
microchips and surface mount components, being used as a soft
solder to enable fully functional soft circuits.
2.4. Noneutectic and Near-Eutectic Alloys
In a noneutectic system, the mixture does not have a single com-
position with the lowest melting point but rather remains solid
over a range of temperatures. This results in the coexistence of
different phases, such as solid particles dispersed within a liq-
uid matrix, as seen in noneutectic metallic alloys like Ga–In or
Ga–Sn. Taking advantage of this phenomenon, Liu et al.[ 123] in-
troduced temperature-driven reversible transition from biphasic
to monophasic state in In–Ga binary metallic alloys. The pro-
posed In–Ga composite becomes nonconductive when stretched
yet, when heated the insulating stretched films become conduc-
tive. The composite’s resistance decreases with increasing tem-
perature (ranging from 1 to 108Ω), which can be explained by
different regions of coexistence of In and Ga in either solid or
liquid phases.
Similarly, researchers from Yale University introduced the con-
cept of “biphasic gallium–indium” (bGaIn).[124 ] In this approach,
while the liquid phase of the biphasic conductive compound is
still EGaIn, the solid phase is composed of thermally treated
EGaIn nanoparticles that become crystalline solids. This biphasic
compound shows a high initial conductivity of 2.06 ×106Sm
−1
and near-constant resistance at strains over 1000%. Furthermore,
it presents high cyclic stability (consistent performance over 1500
cycles) and can also used as a reliable and robust interface with
rigid microelectronic components.
More recently, Timosina et al.[125] introduced a noneutectic
Ga–In alloy (50 wt% Ga and 50 wt% In, Ga50In50) as a shear-
thinning non-Newtonian fluid that shows solid-like properties
when in a quasi-static state and can flow like a liquid metal when
sheared, preventing leakage while allowing the effective fabrica-
tion of biopotential recording electrodes using a stencil. This en-
ables fabrication of biopotential recording electrodes with better
performance and possibility of more complex morphology com-
pared to dry Cu and hydrogel electrodes.
2.5. LM Mixed with Magnetic Particles
By dispersing ferromagnetic Ni μPs in EGaIn through stirring,
Ma et al.[126 ] showed a method for direct patterning of EGaIn over
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[97]
[128]
[119]
[120]
[100]
[114]
[126]
[111] [113]
[117]
[108]
[71]
[116]
[98]
[124]
[121]
Ga In Au Cu Ag
[122]
0
200
400
600
800
1000
1200
1400
1600
1800
1E+5 1E+6 1E+7 1E+8
Maximum Strain (%)
Conductivity (S/m)
Figure 3. Ashby graphic comparing published works on biphasic conduc-
tors in terms of their maximum conductivity and strain at their breaking
point.
various substrates through a moving magnetic field applied to the
LM droplet. The aggregated magnetically responsive μPs deform
the droplet to form a continuous line with conductivity of 3 ×
105Sm
−1and stretchability up to 400%. Zhang et al.[127 ] pro-
posed a similar approach using Fe particles dispersed in EGaIn.
This method was shown to enable fabrication of conductive cir-
cuits with maximum stretchability of 120%, that are easy to repair
by using a magnetic field to guide droplets of the conductive mag-
netic biphasic compound. Guo et al.[128] also used Fe particles
in a liquid EGaIn medium, demonstrating the magnetic healing
properties of this compound and presented circuits with conduc-
tivities up to 1.53 ×106Sm
−1and the ability to withstand strains
up to 300%.
The use of magnetic particles as the solid phase in LM bipha-
sic mixtures opens doors to other relevant applications such as
the one as shown by Li et al.[129 ] Here the authors propose a
Galinstan–Fe biphasic mixture dispersed inside PDMS 3D struc-
tures. The use of the magnetic Fe particles enables them to be ori-
ented according to a magnetic field, enabling the use of this com-
pound for electromagnetic interference shielding applications
with up to 20% stretchability. Similarly, Ren et al.[130 ] showed that
the viscosity and stiffness properties of a Galinstan–Fe biphasic
mixture can change when under the influence of magnetic fields
of various intensities.
In 2023, Hajalilou et al.[131 ] demonstrated the benefit of us-
ing ferromagnetic particles i.e. nickel in trinary liquid metal–
polymer–particle composites. They showed that when it comes to
recycling, incorporation of ferromagnetic particles facilitates sep-
aration of microparticle fillers from liquid metal through mag-
netic force, and therefore is a step toward facile recycling of met-
als from liquid metal based soft-matter electronics.
These studies are compared in terms of maximum initial elec-
trical conductivity and maximum stretchability before losing elec-
trical functionality in the plot in Figure 3. To put these char-
acteristics in perspective, the plot also shows the conductivity
for gallium (7.1 ×106Sm
−1), indium (1.2 ×107Sm
−1), gold
(4.11 ×107Sm
−1), copper (5.96 ×107Sm
−1), and silver (6.3 ×
107Sm
−1).
2.6. Biphasic LM Mixtures with Improved Thermal Conductivity
Gallium-based alloys benefit from a high thermal conductivity.
For instance, thermal conductivity of Galinstan is in the range of
≈42–45 W m−1K−1, making it an attractive material for applica-
tions in the areas of electronics cooling, thermal management,
and energy generation and storage. Some researchers have in-
vestigated methods for further improving the thermal conductiv-
ity of liquid metals. Kong et al.[132 ] were able to further enhance
the thermal conductivity of Galinstan by mixing it with tung-
sten (W) particles, thus achieving a thermal conductivity of 57 ±
2.08 W m−1K−1for the W-LM biphasic compound. The authors
explained that W does not alloy with Ga but instead the formation
of a nanometer scale LM oxide layer enables highly nonwetting
W particles to mix into the LM, leading to a stable biphasic com-
pound.
Castro et al.[133] proposed a biphasic mixture of galinstan liq-
uid metal and gadolinium (Gd) solid particles that was observed
to present spontaneous magnetization and large magnetocaloric
characteristics. The LM-Gd ferrofluid is presented as a promis-
ing solution for magnetocaloric cooling applications both due to
its high thermal conductivity and the fact that it remains liquid
within the temperature window required for domestic refrigera-
tion purposes.
3. Printing and Patterning Techniques
In this section, various methods for printing and patterning
biphasic compounds are presented and compared in terms of fea-
ture resolution and scalability.
3.1. Brush Painting
With the brush painting method, a brush soaked with the con-
ductive ink is used to create a pattern on a soft substrate, allow-
ing for the creation of custom designs with minimal equipment.
Nevertheless, repeatable designs are difficult to achieve, and the
quality and resolution of the final print are highly dependent on
the skill of each user. This technique was used by Tang et al.[99] to
create intricate designs of Cu–EGaIn over various soft substrates
as shown in Figure 4A–C. Chang et al.[ 114] went a step further and
combined brush printing with a precut stencil to allow printing
more repeatable biphasic patterns using Ni–EGaIn ink over pa-
per substrate (Figure 4D,E). Still through manual printing, Guo
et al.[115 ] showed that it is possible to create complex Ni–EGaIn
patterns directly on the skin by first drawing the designs using
PMA glue, to which the biphasic LM compound selectively wets
after being rolled over the painted features (Figure 4F).
3.2. Stencil Printing
For stencil printing, a template with the desired pattern is pre-
cut and applied over the substrate. The conductive ink is then
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Figure 4. A) TransM2ix-made Chinese calligraphy samples written with a traditional Chinese brush on different substrate materials. B) Two graphic works
painted with a painting brush on plastic substrate using TransM2ix. C) Lighted LED connected by conductive patterns painted on flexible transparent
substrate. Scale bar: 20 mm. Adapted with permission.[99] Copyright 2017, American Chemical Society. D) Paper clock made by painting GIN to form
a circuit pattern on A4 printer paper. E) Demonstration of GIN-based paper clock. Adapted with permission.[114] Copyright 2018, Wiley-VCH GmbH.
F) Fabrication of the Ni–EGaIn electronic tattoo. Adapted with permission.[115] Copyright 2019, Wiley-VCH GmbH. G) Demonstration of biphasic GaInNi
printed conductive with complex geometries for functional stretchable electronics. Bionic graphene-like structure with metal conductive and stretchability.
H) High density of serpentine structure with stretchability. I,J) High resolution of stretchable integrated conductive with stretchability and formability.
Scale bar: 10 mm. Adapted with permission.[116 ] Copyright 2019, Wiley-VCH GmbH. K) The fast and customizable fabrication process of Ni–GaIn circuits
printed on Ecoflex substrate via a rolling brush. L) Three different shapes of flexible Ni–GaIn coils. Adapted with permission.[113 ] Copyright 2018, Wiley-
VCH GmbH. M,N) Stencil-printed bGaIn circuits on VHB tape (M; scale bar: 5 mm) and paper (N; scale bar: 2 cm). O,P) Hand-written bGaIn circuits
on high-porosity foam (O) and a latex balloon (P). Scale bar: 2 cm. Adapted with permission.[124 ] Copyright 2021, Springer Nature.
spread over the stencil, leaving the desired pattern over the sub-
strate. The stencil, which acts as a mask only allowing the bipha-
sic material to be selectively deposited in the desired areas, can
sometimes be reused and allows for low cost and high manufac-
turing scalability. Wu et al.[ 116] proposed the use of a patterned
Kapton mask to create intricate conductive paths of Ni–EGaIn
over a polyacrylate substrate (Figure 4G–J), while Guo et al.[113]
used a similar Ni–EGaIn compound printed via a stainless-steel
mask and Ecoflex substrate, with 1 mm resolution as shown in
Figure 4K,L. More recently, Reis Carneiro et al.[61] showed sten-
cil printing of an Ag–EGaIn–elastomer compound directly over a
prefabricated textile spandex glove which, in combination with a
carbon-based ink, allowed for direct integration of pressure and
strain sensors in the textile glove. Liu et al.[124 ] used a stencil to
either transfer-print films of bGaIn onto stretchable substrates
or alternatively by rubbing this biphasic EGaIn directly on the
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masked surf (Figure 4M–P). With this method, the authors were
able to achieve a printing resolution as low as 20 μm.
3.3. Photolithography
Photolithography, a well-established patterning technique in the
semiconductor industry, has also been used for fabrication of
high-resolution biphasic patterns. To achieve this, a metallic layer
is sputtered over an elastomeric carrier substrate. A photoresist
is then deposited over the metal and exposed to light through a
photomask, which contains the pattern that needs to be printed.
The light-exposed areas of the photoresist become either more or
less soluble (depending on the type of resist used), and the solu-
ble areas are removed. The now exposed metal areas are etched
and the metallic patterns are covered with the liquid conductive
phase. Li et al.[108 ] showed the use of this technique to imple-
ment Au–Galinstan features down to 10 μm width, as shown in
Figure 5A,B. Similarly, Ozutemiz et al.[93] used this technique
to show scalable fabrication of Cu–EGaIn stretchable circuits
(Figure 5C,D). In this work, after etching a Cu circuit on an
elastomer-coated wafer, the wafer was dip-coated in an EGaIn-
NaOH bath to selectively deposit the EGaIn onto the metal traces.
Hirsch et al.[95] had previously proposed a similar approach
where the photoresist was first exposed and developed over a
PDMS substrate, followed by deposition of gold through sput-
tering. Afterward, gallium was deposited over Au through ther-
mal evaporation, forming a continuous thin solid–liquid film. Fi-
nally, the hardened exposed resist was lift-off to reveal conduc-
tive features with high resolution down to 10 μm, as shown in
Figure 5E,F.
3.4. Laser Patterning
Another way of achieving very high resolutions is to use a UV
laser micromachining system for circuit patterning. Pan et al.[111]
employed this technique by using a UV laser to directly pattern
EGaIn–Cu–Cr films over a PDMS substrate. This work achieved
outstanding resolution with minimum line widths of 4.5 μm,
which led to the implementation of visually imperceptible con-
ductive grids and circuits with light transmittance as high as
88.7%, as shown in Figure 5G,H. Another work from the same
group[94] (Figure 5I–K) showed laser patterning of Cu films fol-
lowed by coating with EGaIn LM. This work demonstrates in-
tegration of rigid components through HCl treatment of the
EGaIn, enabling self-alignment of the SMDs to the printed pads
and reliable LM-SMD connection with improved conductivity.
As an alternative approach using the biphasic Ag–EGaIn ink,
Carneiro et al.[96] (Figure 5L,M), Lopes et al.[121 ] (Figure 5N,O),
and Tavakoli et al.[97] (Figure 5P,Q) have shown a low-cost and
scalable technique for laser patterning of complex circuits on ul-
trathin substrates. A resolution of 30 μm was shows to be achiev-
able using low-cost fiber lasers.[97]
3.5. Magnetic Printing
A magnetic-base printing technique has been employed in
Guo et al.[ 128] to print Fe–EGaIn. In this work the au-
thors attach a ball-point pen to a mechanical arm and di-
rectly write fructose patterns over a PVA substrate with 1
mm resolution. A magnet is then used to attract Fe par-
ticles which in turn carry the EGaIn that selectively ad-
heres to the fructose patterns, as shown in Figure 6A,B.
Ma et al.[126 ] also showed that magnetic printing could be em-
ployed for printing of a Ni–EGaIn biphasic compound over an
Ecoflex substrate, as shown in Figure 6C,D. This approach avoids
the need for a metallic wetting layer since the magnetic field
significantly enhances the contact between the liquid metal and
substrate. Moreover, the authors show that this printing method
brings advantages over other methods since it can be applied to
printing over nonplanar surfaces and narrow spaces as no contact
is between the manipulator (magnet) and the magnetic biphasic
compound. A similar method is used by Zhang et al.[127 ] to guide
Fe–EGaIn droplets into creating conductive patterns over smooth
and laser-structured polymeric substrates (Figure 6E–G).
3.6. Inkjet and Laser Printing
Inkjet printing has also been shown to have a role in printing
soft electronic systems based on biphasic compounds. Tavakoli
et al.[119 ] had shown a process by which AgNP ink is printed on
a5μm thick temporary tattoo paper using a conventional desk-
top inkjet printer, and then the printed ink is coated with a thin
layer of EGaIn. A biphasic compound is achieved thanks to the
interaction between Ag and EGaIn, resulting in circuits with a
resolution of 200 μm (Figure 6H–K). Building on this approach,
Silva et al.[120 ] demonstrated biphasic traces with 20 μmresolu-
tion by coating similar inkjet-printed AgNP traces with Galin-
stan. To achieve this high resolution, the substrates were first
coated with PVA, which absorbs the AgNP ink but resists wet-
ting of the Galinstan, as shown in Figure 6L–N. This same re-
search team also employed conventional laser printers that were
employed in a similar fashion to the inkjet printer described pre-
viously. Lopes et al.[134] printed the circuit layout with toner over
temporary tattoo paper, as depicted in Figure 6O,P. The toner pat-
tern is then coated with silver epoxy (which does not adhere to the
nonprinted substrate), followed by wetting of EGaIn, which alloys
with the underlying silver. The fabricated circuits can then be hy-
drographically transferred to any 3D surface. This same method
had been used by Alberto et al.[135 ] and Leal et al.[136 ] for various
application that are reviewed in the next section.
3.7. 3D Printing and Direct Ink Writing
3D printing is another method that has been proposed for print-
ing biphasic conductive compounds. This method allows for the
creation of complex freestanding 3D structures as shown by
Daalkhaijav et al.[100 ] In this work the authors proposed incor-
poration of Ni particles in Galinstan to alter the physical proper-
ties of the LM, enabling printing of vertical structures that is not
possible with plain LM (Figure 7A–E). Similarly, Votzke et al.[ 117]
used a Ni–EGaIn compound to 3D print circuits with vertical
vias through a conventional FDM 3D printer adapted to extrude
pastes (Figure 7F–I).
Similar to 3D printing, direct ink writing (DIW) allows for
precise control over the deposition of pastes which are extruded
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Figure 5. A) Fabrication process of the liquid metal pattern embedded in PDMS. B) Complex patterns of liquid metal embedded in PDMS. (a–d)
Square, lines and letters, Chinese characters, picture, and signature. Adapted with permission.[108 ] Copyright 2015, Elsevier. C) Fabrication flow for liquid
metal dip-coating and representative circuits. D) Representative circuits over PDMS. Adapted with permission.[93] Copyright 2022, Wiley-VCH GmbH.
E) Picture of a biphasic gold–gallium film patterned by photolithography with critical dimension of 100 μmona40μm thick PDMS elastomer membrane.
Scale bar: 5 mm. Inset scale bar: 500 μm. F) Stretchable multilayered matrix of green surface mounted light emitting diodes interconnected and powered
through biphasic gold–gallium conductors. Scale bar: 15 mm. Inset: the LEDs are interconnected with two biphasic conductor planes. Scale bar: 2
mm. Adapted with permission.[95] Copyright 2016, Wiley-VCH GmbH. G) Schematic and SEM images of the square grid and parallel line patterns of
4.5 μm wide EGaIn traces; the LM patterns are patterned by microscale laser ablation of the thin-film architecture (LM/copper/chromium) on a PDMS
substrate. H) Representative circuit showing an exceptional combination of mechanical deformability, electrical functionality, and optical transparency.
Adapted with permission.[111 ] Copyright 2018, Wiley-VCH GmbH. I) Fabrication flow and representative circuits. J) A photograph of a hybrid stretchable
circuit consisting of a digital IMU and a digital temperature sensor under deformation. The inset shows the top view of the component–LM interface
at the component pads. K) A photograph of a hybrid stretchable circuit consisting of a 3-axis analog accelerometer under stretch. The inset shows
the component–LM interface at the component pads. Adapted with permission.[94] Copyright 2018, Wiley-VCH GmbH. L) Fabrication of biphasic DEA
electrodes through CO2laser-patterning for further transfer to and adhesive dielectric. M) DEA with intricate and detailed shape that can be fabricated
with the proposed method. Adapted with permission.[96] Copyright 2021, Wiley-VCH GmbH. N) Fiber laser-patterning. O) Representative circuit for
thermal monitoring. Adapted with permission.[120 ] Copyright 2020, Wiley-VCH GmbH. P) High-resolution laser patterning of biphasic Ag–EGaIn–SIS
circuits using an accessible IR laser and single-step vapor-assisted soldering of miniaturized components. Q) Example circuit for multidirectional strain
sensing. Adapted with permission.[97] Copyright 2022, Wiley-VCH GmbH.
Adv. Funct. Mater. 2023,33, 2306453 2306453 (9 of 23) © 2023 The Authors. Advanced Functional Materials published by Wiley-VCH GmbH
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Figure 6. A) Preparation process of magnetic healing liquid meal electronic on PVA substrate. B) Schematic illustration of the healing process of
Fe–EGaIn electronics using magnetic field. Reproduced under the terms of the CC-BY license.[128] Copyright 2019, The Authors, published by Wiley-VCH
GmbH. C) Detailed operation steps for the patterning of LM using magnetic fields. D) Photographs of the patterned LM on different substrate including
planar substrates (e.g., paper, PDMS, hydrogel) and curved surfaces of the eggshell and the inner wall of the glass vial. Scale bars: 10 mm. Adapted
with permission.[126 ] Copyright 2019, Wiley-VCH GmbH. E) Schematic of the process of printing LM on the laser-patterned surface. F) Mechanism
of printing MLM on the smooth domain surrounded by laser-induced microstructures. G) LM “XJTU” printed patterns. Adapted with permission.[127 ]
Copyright 2021, IOP Publishing. H) Printing procedure of conductive traces using a desktop photo printer. I) Circuit functioning as electronic tattoo on
human skin with an integrated LED on finger. J) Circuit placed on a toy lemon using hydrographic transfer. K) Functioning LEDs on a soft brain-shaped
toy before and after deformation. Adapted with permission.[119 ] Copyright 2018, Wiley-VCH GmbH. L) Printing procedure for the conductive tracks.
Starting from the spin coating of PVA (i), inkjet printing (ii), alloy and cleaning process (iii–ix). M,N) Various examples of applications with different line
widths. Adapted with permission.[120 ] Copyright 2020, Wiley-VCH GmbH. O) Fabrication steps overview. After printing the pattern with a desktop laser
printer, the circuit template is coated with subsequent layers of Ag paste and EGaIn. P) Process for hydroprinting of the thin-film electronics composed
of capacitive tactile input sensors and surface-mount LEDs over the 3D printed shell. Adapted with permission.[134 ] Copyright 2018, American Chemical
Society.
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Figure 7. A) Metal paste filament is leaving the needle at various times along a print. B) 3D printed star structure with an overhanging filament.
C) A ring 20 mm in diameter and 10 mm in height. D) A square 20 mm in width and 7 mm in height. E) A 3D printed circuit encapsulated in Ecoflex
is pulled from the edges demonstrating stretchability. Adapted with permission.[100] Copyright 2018, Wiley-VCH GmbH. F) Test pattern demonstrating
liquid metal paste vertical interconnects in various heights. Columns of 2.5, 5, 7.5, 10, and 12.5 mm height with ≈1.25 mm diameter are shown here.
The 12.5 mm tall via proved unstable. Thinner columns are possible with increased vertical printer movement speeds. G) Printed liquid metal arches
demonstrating printed 3D structures. H) Assembled LED oscillator circuit, with printed via to second layer shown in top left. The circuit is now ready for
encapsulation in liquid silicone to the height of the next layer. I) Fully encapsulated LED oscillator circuit in stretched state. Circuit continues to function
as normal. Adapted with permission.[117 ] Copyright 2019, IEEE. J) The resulting Ag–EGaIn–SIS ink has coherent and shiny appearance. K) The ink rapidly
forms a solid structure after coming out of the nozzle. L) A simple extrusion-based printer is used for the printing of stretchable inks. The inset shows
the possibility of extrusion of small freestanding geometries. M) Multilayer stretchable circuit made over an SIS substrate. Here, the SIS prepolymer is
applied with a desired thickness, using a thin-film applicator, prior to the printing of each layer. N) Circuit printed over the Tegaderm medical adhesive
and transferred to the skin with LED powered on. O) Photo of 200 μm lines printed over an SIS substrate with varying spacing. P) Coils printed over a
Kapton substrate with 1 mm (left) and 200 μm line widths. Q) Printed circular coil. Adapted with permission.[98] Copyright 2021, American Chemical
Society.
through a nozzle that moves in predesigned paths. Lopes et al.[98]
(Figure 7J–Q) showed the use of DIW to extrude a polymer filled
with an Ag–EGaIn biphasic mixture that becomes highly stretch-
able and conductive after drying. This work achieved resolutions
up to 200 μm. Using the same Ag–EGaIn–SIS biphasic archi-
tecture, other works have shown the versatility of DIW to create
multiple soft systems for health monitoring[71,105,137 ] or energy
harvesting[138 ] and have also shown how DIW can be integrated
with other methods for implementation of chip-integrated soft
electronics[121 ] that can be recycled.[97]
3.8. Electrochemical Patterning
Li et al.[139 ] introduced a channel-less patterning method for
biphasic mixtures. Here the authors propose a Galinstan–Fe mix-
ture capable of suppressing instabilities during the electrochemi-
cal oxidation process of the compound, which allows for extreme
elongation of the LM core of the mixture to form a thin wire that
is tens of times of its original length when subjected to an elec-
tric field. Moreover, it is shown that the elongated LM core can be
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manipulated freely on a 2D plane to form complex patterns and
can also climb a slope, paving the way to future use in 3D print-
ing of complex conductive geometries. In this work a minimum
trace width of 2 mm was achieved and the authors demonstrate
the application of this novel printing method by implementing a
finger bending sensor.
In summary, there are several printing and patterning tech-
niques available for the fabrication of biphasic compounds with
varying degrees of resolution and scalability. Each of these meth-
ods have their unique combination of advantages and disadvan-
tages. Brush printing, for example, is a straightforward and low-
cost technique that allows for the creation of custom designs but
has limited repeatability and accuracy. By contrast, photolithog-
raphy offer high resolution and accuracy, but at a higher cost
and require specialized equipment. DIW offers a good trade-off
between repeatability, scalability, and cost, although it does not
have the same fine resolution of photolithography. Laser pattern-
ing, on the other hand, can reach to very high resolutions, while
keeping the cost of equipment and process low. The recently in-
troduced electrochemical patterning, despite the limited resolu-
tion and challenging scalability, shows promise to be further ex-
plored as it allows facile manipulation of LM droplets. Overall, the
choice of technique will depend on the specific application and
requirements of the biphasic compound. As the field of soft elec-
tronics continues to develop, it is likely that new and improved
techniques will be developed, providing even greater opportuni-
ties for the design and fabrication of higher resolution easily cus-
tomizable soft electronic systems.
4. Applications
In this section, we explore the applications of biphasic liquid
metal conductors in greater detail. This includes categorizing the
applications based on their potential uses and functions, includ-
ing sensors and displays, soft actuators, wearables, and energy.
harvesting systems. We examine the latest research findings and
developments in each category and highlight the potential impact
that biphasic conductors can have across various fields.
One of the simplest demonstrations to showcase conductivity
of the biphasic compounds is to use them as conductive lines to
power up LEDs and create visual displays. Strain-sensitive trans-
ducers for sensing (usually for detection of strain or pressure)
have also been a common way of conveying the stretchability and
deformability of biphasic LM architectures. This has been shown
for instance by Zhang et al.,[127 ] where the authors implement
a simple LED array with Fe-LM conductive lines, as shown in
Figure 8A. Upon damage, this circuit can be repaired by mag-
netically guiding the biphasic compound to cover the damaged
portion of the conductor and restore electrical conductivity. More-
over, the fabricated circuits in this work have been shown to be
recyclable by ultrasounds that allow to separate all its compo-
nents to fabricate new circuits (Figure 8B). Also, as shown in
(Figure 8C), the authors demonstrate a simple tensile sensor
used to measure finger bending. Guo et al.[128] implemented a
transient 3 ×4 LED display based on Ge–EGaIn on a PVA sub-
strate that can be dissolved in water as shown in Figure 8D–G. A
similar demonstration was shown by Chang et al.,[114 ] where they
used Ni–EGaIn as a conductor to light up LEDs on a paper model
of a house (Figure 8H). In Figure 8I, Votzke et al.[ 117] demon-
strated a 3D printed resistive strain sensor with integrated read-
out circuitry that displays the level of strain by a color changing
LED. Similarly, Silva et al.[120] showed high-resolution printing of
a serpentine strain gauges as well as interdigitated capacitors and
coils (Figure 8J). Taking advantage of their high-resolution laser
patterning technique, Pan et al.[111] demonstrated an visually im-
perceptive proximity sensor (Figure 8K) and, a smart contact lens
to display air-quality information when placed over an eyeball
camera, as shown in Figure 8L,M. Ozutemiz et al.[94] demon-
strated a stretchable LM circuit with integrated IMU and tem-
perature sensor, as shown in Figure 8N–P. More recently, Reis
Carneiro et al.[122] proposed the use of a trinary biphasic Ag–
EGaIn–polyurethane (PU) water-based ink for fabricating smart
labels for monitoring of safe handling and storage practices of
perishable food items. These printed smart labels can be inte-
grated in existing food packages and can as well be fully recycled,
enabling the fabrication of complex soft electronic systems with
a fully circular life cycle.
Soft robotics and wearable systems represent additional fields
where biphasic conductors have great potential. These conduc-
tors can be used to create soft and flexible actuators as well as
wearable sensors for controlling and monitoring movement of
robots. Reis Carneiro et al.[96] proposed the use of an Ag–EGaIn–
filled elastomer as soft compliant thin conductive electrodes for
dielectric elastomer actuators that are nonsmearing, as shown in
Figure 9A,D. Hirsch et al.[95] showed Au–Ga thin films promis-
ing not only for implementation of stretchable optoelectronic
transducers (Figure 9E) but also as epidermal strain sensors that
can accurately monitor the bending angle of finger joints, as de-
picted in Figure 9F. In Figure 9G, a soft matrix of microheaters
wrapped on a human arm is shown, taking advantage of the
high-resolution patterning technique based on lithography that is
shown in this work. Finally, in Figure 9H, a soft cantilever dielec-
tric elastomer actuator is shown using the gold–gallium biphasic
thin films as deformable electrodes. Reis Carneiro et al.[61] have
shown that an Ag–EGaIn–elastomer biphasic mixture can be di-
rectly printed on a textile glove to (in combination with a carbon-
based polymer) to create embedded strain sensor in a wearable
system that can detect up to 12 distinct hand gestures to control
the motion of a mobile robot (Figure 9I,J). Using a biphasic mix-
ture of indium and gallium, Liu et al.[124 ] presented a multilayer
signal conditioning circuit board integrated with a stretchable ca-
pacitive sensor that was attached to the surface of a user’s shirt
sleeve to measure the degree of bending of the user’s arm as de-
picted in Figure 9K–N.
One of the most promising fields that can benefit from bipha-
sic conductors is wearable health monitoring. Taking advantage
of the intrinsic stretchability of biphasic architectures, these con-
ductors can be used to create stretchable and flexible electronic
devices that can be directly interfaced to the human body and
measure a variety of health vitals and physiological signals. For
instance Ma et al.[126 ] showed a simple Ni–EGaIn strain sen-
sor applied over the users neck to accurately monitoring of the
carotid arterial pressure waveform and heart rate as shown in
Figure 10A,B.
Lopes at al.[121 ] proposed a straightforward chip integration
and soldering method for soft electronics using a biphasic Ag–
In–Ga mixture that enabled the fabrication of complex fully in-
tegrated soft-matter circuits, as shown in Figure 10C–E. Here,
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Figure 8. A) LED display being damaged and repaired by MLM droplet. B) Liquid metal circuit recycling. C) Preparation and characterization of a tensile
sensor based on printed magnetic LM for detection of finger bending. Adapted with permission.[127 ] Copyright 2021, IOP Publishing. D) Double-layer
LED array based on PVA/fructose and Fe–EGaIn. E) Schematic illustration of the structure of the Fe–EGaIn lines on two layers. F) The dissolution and
recycle process of the double-layer LED array. G) The dissolution process of an LED circuit. Reproduced under the terms of the CC-BY license.[128]
Copyright 2019, The Authors, published by Wiley-VCH GmbH. H) A paper house built using Ni–EGaIn as a connecting circuit to a light bulb. Adapted
with permission.[114 ] Copyright 2018, Wiley-VCH GmbH. I) Demonstration of a printed resistive strain sensor with integrated readout and chip-to-chip
digital communication. Yellow indicates minimal strain. Green, blue, purple, and red indicate roughly 50%, 100%, 130%, and 150% strain, respectively.
Adapted with permission.[117 ] Copyright 2019, IEEE. J) Example of Ag–Galinstan applications: printed capacitor, strain gauge, and a coil. Adapted with
permission.[120 ] Copyright 2020, Wiley-VCH GmbH. K) Proximity sensor using optically clear (w=4.5 μm, p=96 μm) and visually perceptible (w=
19 μm, p=500 μm) conductor lines. L) Block diagram and schematic of air quality monitoring system composed of a contact lens display based on an
LM circuit, an eyeball camera, an air quality sensor, and a microprocessor. M) Response sequence of air quality (CO2) measurement corresponding to
“SAFE”-green, “DANGEROUS”-red, “ALEART”-blue, and “SAFE”-green. LED coloring is set according to eCO2 thresholds set at <1000 ppm for “SAFE”
and >4000 ppm for “DANGEROUS”. Adapted with permission.[111 ] Copyright 2018, Wiley-VCH GmbH. N) Bottom view of soft digital IMU +temperature
sensor circuit and analog accelerometer circuit based on Cu–EGaIn. O) Functioning IMU +temperature sensor circuit with real-time animated block.
Animated block’s orientation information comes from the IMU while the color of the block shows the temperature sensed from the sensor. P) IMU +
temperature sensor circuit tested until failure at different applied strains. Adapted with permission.[94] Copyright 2018, Wiley-VCH GmbH.
a compliant thermal sensor with an integrated LED display is
shown integrated in a facemask as well as worn directly over
the epidermis. Figure 10F shows a miniaturized soft thermal-
monitoring patch with integrated microchips and Bluetooth con-
nectivity for transferring data to a mobile phone. As shown in
Figure 10G, Hajalilou et al.[105] presented a simple biphasic strain
sensor printed over a medical wound dressing adhesive used
to monitor respiration and chest volume. Tavakoli et al.[97] have
shown multiple applications for monitoring of physiological pa-
rameters based on fully integrated soft patches using Ag–EGaIn
as the base for stretchable printed circuit boards. In Figure 10H,I
a multimodal epidermal sticker for mechanosensing is applied to
the user’s neck and is shown to monitor mild, normal, and deep
respiration, tapping, various neck and torso movements as well
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Figure 9. A,B) Ag–In–Ga ink-based radial DEA in the unactuated and actuated states, where radial expansion of the ink electrodes can be observed.
C) Ag–In–Ga DEA being rubbed with a finger. D) No smearing, smudging, or displacement of the Ag-LM electrode is observed afterward, nor is the
glove marked. Adapted with permission.[94] Copyright 2021, Wiley-VCH GmbH. E) I–Vcharacteristics of an SMD LED in PDMS interconnected with
biphasic gold–gallium conductors as a function of applied uniaxial strain. Scale bar: 2 mm. F) Epidermal flexion sensor skin monitoring the position of
the metacarpophalangeal (MCP) and proximal interphalangeal (PIP) joints of a finger. Joint angles as a function of time monitored by a soft biphasic
gold–gallium sensor (blue) and Vicon motion capture system (orange). G) Soft matrix of microheaters wrapped on a human arm. Temperature gradients
along the x-axis are indicated by the blue arrow. Infrared images of a 3 ×3 matrix of microheaters on the human forearm while sequentially heating one row
after the other. Scale bars: 10 mm except for zoomed microheater picture: 1 mm. H) Soft cantilever dielectric elastomer actuator prepared with biphasic
gold–gallium electrodes. The actuator is 14 mm long, 1 mm wide, and 120 μm thick. Displacement of the end point as a function of the applied voltage
squared. Scale bars: 10 mm. Adapted with permission.[95] Copyright 2016, Wiley-VCH GmbH. I) Fully printed textile glove with stretchable Ag–EGaIn
interconnects and carbon-based strain sensors. J) The glove can control up to ten distinct gestures that control various gaits of a mobile robot. Adapted
with permission.[61] Copyright 2022, IEEE. K) Multilayer signal conditioning circuit board integrated with a stretchable bGaIn-based capacitive sensor
attached to the surface of a user’s shirt sleeve. L) Top view of the signal conditioning circuit board. Scale bar: 5 mm. M) Normalized sensor reading
as a function of the capacitive sensor strain up 50% for 10 cycles at different strains of the signal conditioning circuit board (0%, 50%, 100%, 150%,
200%). Each shaded region represents ±1 s.d. about the mean (solid line). N) A stretch sensor and signal conditioning circuit board were attached to
a spandex sleeve and stretched together during normal bending motions of a user’s arm. The insets show this sensory sleeve while the user’s arm is
straight (left inset) and bent (right inset). Adapted with permission.[124 ] Copyright 2021, Springer Nature.
as swallowing. Using the same circuit printing and microchip
integration techniques, this study demonstrated additional epi-
dermal stickers for temperature monitoring (Figure 10J) and ac-
quisition of blood oxygenation (SpO2) data from the user’s chest
(Figure 10K). Moreover, the authors showed a combination of
steps for decomposition of the soft circuits and separation of the
polymer, silver particles and EGaIn in the biphasic compound do
that these can be recycled into new functional circuits, as shown
in Figure 10L. Guo et al.[115] proposed Ni–EGaIn tattoos directly
printed on the epidermis that can be used for thermal moni-
toring (Figure 10M,N) and simple human–machine interfaces
(Figure 10O). Moreover, the authors show that these conductive
tattoos can be printed in very intricate shapes and anywhere in
the body, as depicted in Figure 10P.
The field of bioelectronics and electrophysiology can also ben-
efit from the stretchability and skin-conformability of bipha-
sic conductors, as shown by Lopes et al.[134 ] In this work, the
authors proposed digitally printed ≈5μm thick Ag–EGaIn tat-
toos that can be hydrotransferred to any surface, as shown in
Figure 11A. The tattoos are highly conformable to the epidermis,
making them excellent candidates for biopotential electrodes that
are used to measure electromyography signals used to control a
prosthetic hand as depicted in Figure 11B,D. When transferred
to the prosthetic hand itself, the tattoo-like conductors double as
Adv. Funct. Mater. 2023,33, 2306453 2306453 (14 of 23) © 2023 The Authors. Advanced Functional Materials published by Wiley-VCH GmbH
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Figure 10. A) Schematic illustration of the procedure for fabrication of the LM-based strain sensor. B) ΔR/R0measured as a function of time for
monitoring of the carotid arterial pressure waveforms. Adapted with permission.[126 ] Copyright 2019, Wiley-VCH GmbH. C) Soft-matter circuit with
integrated sensors, microprocessor, and LED display for temperature measurement. D) Same circuit was transferred to a textile mask and E) applied
to the skin. F) Untethered wireless temperature patch with integrated Bluetooth chip, temperature and humidity sensor, microprocessor, resistors,and
battery, produced through laser patterning and vapor exposure. The patch sends the data to the mobile phone app. Reproduced under the terms of the CC-
BY license.[121 ] Copyright 2021, The Authors, published by Springer Nature. G) A respiration sensor printed over the medical wound dressing adhesive
(Tegaderm). Adapted with permission.[105 ] Copyright 2022, Wiley-VCH GmbH. H) Chip-integrated soft mater epidermal sticker for mechanosensing
applied to the user’s neck. I) Measurement of neck and torso movements. J) Epidermal sticker for temperature monitoring and K) acquisition of blood
oxygenation (SpO2) data from the user’s chest. L) Proposed process for decomposition and recycling of soft circuits based on biphasic Ag-LM conductor.
Adapted with permission.[97] Copyright 2022, Wiley-VCH GmbH. M) A temperature monitoring circuit printed on the back skin of a hand. N) The
temperature change of the hand back skin. O) Ni–EGaIn electronic tattoo used for human machine interaction. P) Ni–EGaIn electronic tattoo printed
on several body parts of a volunteer’s skin: arm, wrist, palm, finger, knee, and back. Adapted with permission.[115] Copyright 2019, Wiley-VCH GmbH.
touch sensors and interfaces for LEDs for straightforward recip-
rocal human–machine interaction.
Wu et al.[71] presented a fully integrated electrocardiography
sensor, shown in Figure 11E,F, where a biphasic Ag–EGaIn
compound is used not only for printed digital communication
lines but also used as the skin-interfacing electrodes. Using
a similar biphasic architecture, Reis Carneiro et al.[137] intro-
duced a combination of materials and manufacturing meth-
ods for implementation of multiple skin-interfacing electronic
patches that can conform to and deform with the human skin
as shown in Figure 11G. The proposed bioelectronic stick-
ers can measure various electrophysiological data including
Adv. Funct. Mater. 2023,33, 2306453 2306453 (15 of 23) © 2023 The Authors. Advanced Functional Materials published by Wiley-VCH GmbH
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Figure 11. A) Process for application of an electronic tattoo over the forearm for EMG signal acquisition. B) The hand can be controlled by the hy-
droprinted circuit over the hands shell which contains C) tactile inputs and surface-mount LEDs for reciprocal human–machine interaction. D) The
epidermal tattoo can record EMG signals to control the prosthetic. Adapted with permission.[134 ] Copyright 2018, American Chemical Society. E) Wear-
able electrocardiography (ECG) system contains an LED that blinks at the same speed as the heart rate measured by the biopotential acquisition module
worn on the chest. Conductive lines and skin-interfacing electrodes are made of Ag–EGaIn. F) Representative signal of the recorded ECG and Detection
of R and T waves. Reproduced under the terms of the CC-BY license.[71] Copyright 2022, The Authors, published by Wiley.VCH GmbH. G) The dynamic
conformal nature of the e-patch: it keeps its conformability to the skin even under deformation. H–J) Single lead ECG patch and ECG wave. K) Multilead
ECG patch. L,M) multielectrode EMG patch adhered to the user’s forearm. N) EMG signal acquired from the user’s forearm when performing various
gestures p1–p6. O) Forehead-mounted electrophysiology patch for acquisition of EEG, EOG, and facial EMG. Reproduced under the terms of the CC-BY
license.[137 ] Copyright 2022, The Authors, published by Wiley.VCH GmbH. P) Ga50In50 electrode and schematic showing how it conforms to the skin.
Recorded signal segments for Q: ECG, R: EEG with open eyes and S: EEG with closed eyes. Reproduced under the terms of the CC-BY license.[125 ]
Copyright 2022, The Authors, published by Elsevier.
electrocardiography (ECG) (Figure 11H–K), electromyography
(EMG) (Figure 11L–N), electroencephalography (EEG), and elec-
trooculography (EOG) (Figure 11O). This work shows that the
biphasic conductor, due to the presence of EGaIn liquid metal,
can better conform to the skin’s microtexture, achieving better
signal quality than conventional electrodes used in clinical set-
ting. Moreover, the authors have shown that the biphasic con-
ductor used as biopotential skin interfacing electrodes maintains
high quality over longer periods that the traditional counterpart
even despite sweating or movement.
Timosina et al.[125] fabricated biopotential recording electrodes
using a biphasic noneutectic Ga–In alloy, offering superior
Adv. Funct. Mater. 2023,33, 2306453 2306453 (16 of 23) © 2023 The Authors. Advanced Functional Materials published by Wiley-VCH GmbH
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performance compared to commercial hydrogel electrodes, dry
electrodes, and conventional liquid metals for electrography
measurements. Moreover, these noneutectic Ga–In electrodes
(Figure 11P–S) are shown to be biocompatible and to maintain
low electrode-skin impedance over long periods of up to 3 days
of use for recording ECG, EMG, and EEG.
In addition to bioelectronics, wearables, and soft robotics,
biphasic conductors have potential applications in other fields
as well. For example, in the field of energy harvesting, bipha-
sic conductors can be used to create stretchable and flexible
antennas with complex geometries for wireless power transfer
to soft electronic systems. Guo et al.[113] presented a Ni–EGaIn
printed wearable healthcare monitor for pulse wave measure-
ment as well as a wearable LED array both powered wirelessly
via a printed energy harvesting coil, as shown in Figure 12A–G.
A similar approach was used by Alberto et al.[135 ] where the
authors demonstrate an untethered, battery-free and ultrathin
(≈5μm) passive “electronic tattoo” that interfaces with the hu-
man skin for acquisition and transmission of electrocardio-
graphy data with excellent signal quality. The device, shown
in Figure 12H–K, relies on a wireless power transfer (WPT)
system, using a printed stretchable Ag–In–Ga coil. The au-
thors also show that the soft biphasic WPT device can pro-
vide more than 300 mW of measured power if it is trans-
ferred over the skin and even works when implanted un-
der the skin, providing up to 100 mW of usable power.
Lopes et al.[98] used biphasic Ag–In–Ga mixtures to imple-
ment a printed NFC circuit that can be used in combina-
tion with a smartphone to wirelessly light up an LED on
the circuit or deploy a website on the smartphone’s web
browser (Figure 12L). With this method, a soft and stretch-
able biphasic RFID antenna can printed for lighting up an
LED through WPT (Figure 12M). Ozutemiz et al.[93] demon-
strated a soft LM UHF patch that works in a passive (battery-
free) mode via power harvesting from an RFID reader’s elec-
tromagnetic field and consists of a temperature sensor and a
strain gauge as shown in Figure 12N–P. Figure 12Q shows
the patch being used for wireless detection of wrist flexion.
Maranha et al.[138 ] demonstrated various untethered battery-
free patches powered through far-field energy harvesting. Tak-
ing advantage of an Ag–EGaIn biphasic compound, customized
antennas are fabricated over various substrates. This includes
planar inverted-F antennas (PIFA) antennas (Figure 12R–T)
as well as a folded dipole antennas (Figure 12U–W) that
are evaluated and optimized for over-the-body usage in med-
ical environments to power an ECG-monitoring wearable belt
(Figure 12R,W).
Overall, biphasic conductors have the potential to enable
new capabilities in a wide range of applications and indus-
tries and their use has opened new possibilities for the de-
velopment of flexible and stretchable electronic devices with
improved performance and reliability. In fact, as shown in
this section, the electronic circuits proposed for these Ga-
based biphasic architectures can be quite complex and used
for applications that translate across various fields. More-
over, these applications tend to take advantage of the com-
bined properties of biphasic conductors: high electrical con-
ductivity, stretchability, and adaptability to multiple fabrication
methods.
5. Discussion and Conclusion
In this review, we presented and discussed recent advancements
in biphasic conductor architectures that use gallium or gallium-
based LM alloys. These materials are highly deformable and
maintain high conductivity under extreme mechanical strains.
In this way, they have the potential to open up new possibilities
for the development of flexible and stretchable electronic devices
with improved performance and reliability.
These biphasic architectures address long standing challenges
with handling, deposition, and patterning of liquid metal al-
loys. They include material systems that numerous research
groups have developed that combine advantages of solid conduc-
tors and liquid metals. In addition to discussing these emerg-
ing architectures, this review article covers methods used to
print and pattern biphasic conductive compounds as well as
the potential applications of biphasic conductors in various
fields such as wearables, energy harvesting or soft robotics and
sensors.
Table 1 summarizes the recent research efforts on liquid–solid
biphasic conductors for stretchable electronics, the methods used
for printing and patterning, and the applications proposed by au-
thors across various fields.
It can be argued that biphasic architectures that are based on
coating liquid metal over patterned thin-film metals, such as Au,
Cu, and Ag, benefit from several advantages including the use of
established lithography techniques, and the possibility of high-
resolution patterning. However, relying on clean room lithogra-
phy and advanced deposition systems can be an obstacle for scal-
able and low-cost fabrication. To address this, a variety of biphasic
inks were synthesized and used for creation of stretchable circuits
via stencil printing, digital printing, contact printing, and laser
patterning. Rapid advances in this category have already resulted
in demonstration of inks that are digitally printable, sinter-free,
adhesive, and nonsmearing. These inks keep the promise for low-
cost and scalable fabrication of stretchable circuits, but the print-
ing resolution and long-term stability in industrial setting should
be yet demonstrated.
Some important factors that impact the usability of LM-based
compounds are the adhesion to substrates, smearing behav-
ior, and the ability to hold LM droplets within the compos-
ite. Nevertheless, these are not consistently and quantitatively
reported in literature. However, strong adhesion between the
substrate and the LM-compound typically relies on the pres-
ence of a polymeric binder (such as SIS or PU) and not the
metals themselves. When it comes to smearing behavior and
the ability to hold the LM within the compound, once more
most articles fail to objectively report these properties, which
can be tested by subjecting a non-encapsulated LM compos-
ite sample to mechanical strain and then performing a smear-
ing test. Yet nonsmearing behavior has usually been reported
as a consequence of higher affinity and adhesion between liq-
uid and solid phases through the formation of intermetal-
lic components (IMCs).[105,131 ] The occurrence of IMCs pro-
motes a homogenous composite and is a barrier against phase
separation. As shown in Table 1, the formation of IMC is
limited to some combinations of solid and liquid phases as
is the case of silver and EGaIn forming AgIn2or gold and
gallium forming AuGa2. In the cases where the solid phase
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Figure 12. A–C) LED array flexible Ni–EGaIn circuit with wireless power transfer. D,E) Wireless Ni–EGaIn pulse wave measurement circuit. F) Record
pulse wave. G) The flexible circuit board was stretched to 25%. Adapted with permission.[113 ] Copyright 2018, Wiley-VCH GmbH. H) Ag–EGaIn ECG patch
includes energy harvesting coil, two skin interfacing biopotential electrodes, and a reusable battery-free electronic circuit for data acquisition, processing,
and communication. I) Full ECG monitoring circuit transferred to the human body. J) Prototype transferred to the skin being used to transmit the ECG
information and K) the ECG signal received by the computer with the beats-per-minute (BPM) information. Reproduced under the terms of the CC-BY
license.[135 ] Copyright 2020, The Authors, published by Springer Nature. L) Printed NFC circuit over a medical-grade Tegaderm adhesive, transferred
to the forearm. Inset image: when a mobile phone approaches the circuit, it lights an LED on the circuit and opens the SPM-ISR website in the mobile
phone. M) Fully wireless circuit, composed of an RFID antenna for energy and LED. Adapted with permission.[98] Copyright 2021, American Chemical
Society. N) Fabricated LM UHF patches containing a UHF chip, strain gauge, and antenna based on Cu–EGaIn. O) Tensile testing of a UHF patch. P)
LM UHF patch temperature sensor characterization plot between 21 and 75 °C. Q) Wireless detection of wrist flexion, with corresponding inset showing
optical images of the wrist motion. Adapted with permission.[93] Copyright 2022, Wiley-VCH GmbH. R) Wearable belt for continuous and battery-free
patient monitoring, using three PIFA antennas and a transmitter. S) PIFA antenna and demonstration of bending and twisting. T) Detail of the antennas
integrated into the WoW band (printed textile band for multiparameter vital monitoring) and the RF harvesters and supercapacitor integrated into printed
e-textile circuit. U) One dipole antenna on top of Tegaderm and foam powers an LED on the body. V) Demonstration of the functionality of the ECG
monitoring, against subject movements and punctual blocking of RF. W) Experimental ECG monitoring belt with Bluetooth communication, one dipole
antenna, and one transmitter. Reproduced under the terms of the CC-BY license.[138] Copyright 2022, The Authors, published by Wiley-VCH GmbH.
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Tabl e 1 . Summary of recent developments in biphasic solid–liquid LM-based conductors.
Refs.
Conductivity
[S m−1]
Stretchability
[%]
Solid
phase
Liquid
phase
Proposed
applications
Fabrication method
Resolution
Polymeric
binder
Intermetallic
component
[61] – – Ag EGaIn Textile-printed strain sensors for gesture recognition
glove
Stencil printing – SIS AgIn2
[71] 6.38 ×1051000 Ag EGaIn ECG biosticker DIW – SIS AgIn2
[93] – 40 Cu EGaIn Soft passive LM UHF patch for strain and
temperature monitoring
Photolithography;
selective wetting
–– N.R.
[94] – 85 Cu EGaIn IMU and temperature sensor soft readout circuit Laser patterning;
selective wetting
–– N.R.
[95] (<1Ωsq−1) 400 Au Gallium Optoelectronic circuit; finger mounted strain sensor;
microheater; cantilever DEA
Photolithography;
selective wetting
100 μm– AuGa
2
[96] – – Ag EGaIn DEA electrodes Laser patterning – SIS AgIn2
[97] 2.10 ×1051700 Ag, Fe EGaIn Recyclability; thermal, mechanical, optical sensing Laser patterning, DIW 30 μm SIS AgIn2
[98] 7.02 ×105600 Ag EGaIn WPT and NFC DIW 200 μm SIS AgIn2
[99] 6.00 ×106– Cu EGaIn – Brush manual printing – – CuGa2
[100] 3.93 ×106350 Ni Galinstan – 3D printing – – N.R.
[105] – >100 Ag, Ni,
Fe
EGaIn Strain sensor for respiration monitoring DIW – SIS AgIn2
[108] 3.46 ×106100 Au Galinstan – Photolithography;
selective wetting
10 μm– N.R.
[111] 5.65 ×105100 Cu EGaIn Visually imperceptible touch sensor; smart
transparent contact lens
Laser patterning 4.5 μm– N.R.
[113] 1.00 ×10670 Ni EGaIn Wearable pulse monitor; wearable LED array Stencil printing – – N.R.
[114] 1.75 ×1060 Ni EGaIn LED displays on paper Brush manual printing;
stencil printing
–– N.R.
[115] 1.61 ×106– Ni EGaIn Epidermal tattoos for thermal monitoring and HMI Manual printing;
selective wetting
–– N.R.
[116] 1.00 ×106300 Ni EGaIn – Stencil printing – – Ga4Ni3InNi3
[117] 2.97 ×106200 Ni EGaIn Strain sensor with integrated circuit and LED 3D printing – – N.R.
[119] 4.85 ×10580 Ag EGaIn Temporary hydro transferrable tattoos with LEDs Inkjet printing; selective
wetting
200 μm– N.R.
[120] 6.65 ×106200 AgNP Galinstan Printed capacitor, strain gauge, and a coil Ag inkjet printing;
selective wetting
20 μm– AgIn
[121] 8.21 ×1051200 Ag EGaIn Fully integrated soft thermal monitoring and display
circuits
Laser patterning, DIW – SIS AgIn2
[122] 1.60 ×105200 Ag EGaIn Recyclable soft electronics; smart labels;
electrophysiology and thermal monitoring
biostickers
DIW; stencil 200 μmWPU AgIn
2
[124] 2.06 ×1061000 GaIn
oxide
GaIn Wearable capacitive strain sensor with integrated
circuit
Stencil printing; 25 μm– N.R.
[125] – – In Ga-In Biopotential recording electrodes Stencil printing – – N.R.
[126] 3.00 ×106400 Ni EGaIn HR strain sensor Magnetic printing – – N.R.
[127] – 120 Fe EGaIn Repairable and recyclable LED array Magnetic printing – – N.R.
[128] 1.53 ×106300 Fe EGaIn Water soluble transient LED array Selective wetting;
magnetic printing
–– N.R
[134] – – Ag EGaIn Hydrotransferrable tattoos for EMG and control of a
prosthetic hand
Toner printing; selective
wetting
–– N.R.
[135] – – Ag EGaIn ECG biosticker with wireless power transfer Toner printing; selective
wetting
–– N.R.
[137] – >30 Ag EGaIn Soft bioelectronic patches and biopotential electrodes DIW – SIS AgIn2
[138] – Ag EGaIn Energy harvesting in wearable bioelectronics DIW – SIS AgIn2
[139] – ≈1000 Fe Galinstan Led array and strain sensors Electrochemically
induced elongation
2mm – N.R.
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consists of copper, it may sometimes lead to the formation
of CuGa2yet oftentimes the IMC does not occur or is not re-
ported.
When comparing the performance between gallium-based
liquid–solid biphasic conductors and pure liquid metals, several
key factors come into play. For instance, gallium-based liquid–
solid biphasic conductors exhibit superior pattern resolution
compared to pure liquid metals. The solid phase present in the
biphasic conductors helps maintain the shape and stability of the
pattern, resulting in sharper edges, finer features, and higher
aspect ratios. By contrast, pure liquid metals, due to their flu-
idic nature, have less defined patterns, making it challenging
to achieve intricate designs and precise fabrication processes.
Moreover, as shown throughout the review, liquid metals are
renowned for their exceptional electrical conductivity, making
them ideal for applications that require efficient electrical path-
ways. Gallium-based liquid–solid biphasic conductors, although
possessing good conductivity, may exhibit slightly lower conduc-
tivity (in the range of 1.6 ×105to 6.65 ×106Sm
−1) compared
to pure liquid metals (gallium - 7.1 ×106Sm
−1, indium - 1.2
×107Sm
−1). However, the difference in conductivity is often
marginal, and the biphasic conductors still offer sufficient elec-
trical performance for many applications. In terms of adhesion,
gallium-based liquid–solid biphasic conductors tend to exhibit
stronger adhesion properties compared to pure liquid metals.
The presence of the solid phase and oftentimes the inclusion
of a third polymeric phase, enhances the bonding strength and
improves the stability of connections with different substrates.
Pure liquid metals, while having good surface wetting proper-
ties, may face challenges in achieving long-term stability and re-
liable adhesion. Depending on the specific requirements of a
given application, gallium-based liquid–solid biphasic conduc-
tors offer a compelling alternative to pure liquid metals, particu-
larly when enhanced pattern resolution and improved adhesion
to substrates are desired. In fact, when it comes to patterning
resolution of biphasic compounds, this is highly dependent on
the process used to pattern the circuits. For example, when using
photolithography and laser patterning, resolutions in the range of
4.5–30 μm are possible, but this relies on the use of expensive mi-
crofabrication equipment. By contrast, methods like DIW, allow
for resolutions of ≈200 μm and can be achieved with lower cost
equipment along with more process flexibility and the possibility
for faster iterative prototyping.
Progress toward commercialization and industrial-scale pro-
duction of liquid metal-based electronics requires further ef-
forts to address remaining challenges in materials composition,
synthesis, patterning, and electronics interfacing. This includes
demonstration of compatibility of these material architectures
with high volume manufacturing methods like screen print-
ing, gravure printing, and roll-to-roll printing. Moreover, one of
the main challenges that is often overlooked in the field is re-
liable and scalable techniques for interfacing soft printed cir-
cuits with packaged CPUs and other silicon-based microelectron-
ics. While many groups have focused on problem of deposition
and patterning, further work is needed to have a more com-
plete understanding of techniques for reliable microchip inter-
facing. This is especially important since without the integration
of silicon-based microelectronics, soft-matter electronics are of
limited use.
In conclusion, biphasic conductors represent a promising ap-
proach for the development of stretchable electronics, provid-
ing a solution that enable stable electrical conductivity at high
strains while maintaining high levels of flexibility and stretcha-
bility. Moreover, most biphasic compounds have been shown to
be compatible with multiple fabrication methods ranging from
stencil lithography to 3D printing. However, further research is
needed to optimize biphasic conductors for different applications
and to fully realize their potential across various industries.
While biphasic composites seem to address some of the chal-
lenges in scalable fabrication of LM-based circuits, it is impor-
tant to note that these material systems are still in their infancy
and rigorous tests are necessary to evaluate their long-term stabil-
ity. Specifically, when the fabricated circuits are subject to repet-
itive cycle strain, additional interaction between liquid and solid
phase metals can occur. This may potentially result in alteration
of the composite over time through formation of IMCs, which
can affect electrical conductivity and stretchability of the com-
posite. Therefore, one specific research direction should be long-
term evaluation of these composites with millions of strain cy-
cles. In this context, researchers should pay close attention to al-
loy compositions and reaction kinetics as these can directly im-
pact the softness and stretchability of the composite over time.
Also, addition of the binder material, as already present in some
of the composites[71,98,105,122 ] seems to be a possible method to
reduce excessive interaction between the metals. Moreover, elec-
tromechanical testing and microstructural analysis of the com-
posites should be systematically performed when developing new
biphasic LM-based conductors as these can help the decision pro-
cess when choosing the most suitable alloy composition and pro-
cessing parameters. In fact, one possible method for evaluating
long-term stability of the composite is performing microstruc-
tural analysis through electron microscopy and elemental analy-
sis after subjecting the sample to repetitive mechanical strain.
Lastly, further effort is required to address environmental con-
cerns regarding e-waste accumulation. Many applications of soft-
matter electronics in bioelectronics and smart packaging are ex-
pected to rely on single-use disposable patches. It is therefore im-
portant to take into account the environmental concerns, and in-
vestigate methods for safe disposal protocols, and low-cost and
ecological recycling methods for biphasic conductors.
With the ongoing research in biphasic stretchable conductors,
and the rapid advances observed in the last decade, we can ex-
pect to significant advancements in soft electronic systems with
improved performance and reliability for use in remote health-
care monitoring, soft robotics, and wearable computing.
Acknowledgements
This work was supported by the Fundação para a Ciência e a Tecnolo-
gia (Portuguese Foundation for Science and Technology) through the
Carnegie Mellon Portugal Program (Grant No. SFRH/BD/150691/2020),
and European Research Council, ERC project Liquid3D (Grant No.
101045072). Support also came from the CMU-Portugal project WoW
(45913), through European Regional Development Fund (ERDF) and the
Portuguese State through Portugal 2020 and COMPETE 2020.
Conflict of Interest
The authors declare no conflict of interest.
Adv. Funct. Mater. 2023,33, 2306453 2306453 (20 of 23) © 2023 The Authors. Advanced Functional Materials published by Wiley-VCH GmbH
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Keywords
biphasic conductors, EGaIn, eutectic gallium-indium, gallium-based liquid
metals, liquid metals, soft electronics, stretchable electronics
Received: June 7, 2023
Revised: July 22, 2023
Published online: August 22, 2023
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Manuel Reis Carneiro received an M.Sc. degree in electrical engineering with a specialization in au-
tomation from the University of Coimbra, and he is currently a dual degree Ph.D. candidate in electrical
and computer engineering at the Carnegie Mellon University and in electrical engineering and intelli-
gent systems at the University of Coimbra. His research interests include soft and printed electronics,
bioelectronic systems, and human–machine interfaces for robotics, sensing, and medical applica-
tions. He is also interested in STEM education and scientific outreach.
Carmel Majidi is a professor of mechanical engineering at Carnegie Mellon University. He leads the
Soft Machines Lab, which develops novel materials architectures, modeling techniques, and fabrica-
tion methods for soft multifunctional composites and microfluidics. His research has applications
to the fields of soft bioinspired robotics, wearable computing, and mechanics of soft matter.Prior to
joining Carnegie Mellon University, he had postdoctoral fellowships at Princeton and Harvard. He
received his B.S. degree from Cornell University and M.S. and Ph.D. degrees from UC Berkeley.
Mahmoud Tavakoli received an M.Sc. in mechanical engineering from the Sharif University of Technol-
ogy,Iran, and a Ph.D. in electrical engineering from the University of Coimbra, Portugal. He is currently
director of the Soft and Printed Microelectronics Lab at the University of Coimbra, where he is also
Professor at the Department of Electrical Engineering. His research interests include soft-matter thin-
film and stretchable electronics, and their applications in health, wearables, HMI, and robotics. More
specifically he is interested in gallium-based liquid metal composites and techniques for digital print-
ing and patterning of soft-matter hybrid electronics.
Adv. Funct. Mater. 2023,33, 2306453 2306453 (23 of 23) © 2023 The Authors. Advanced Functional Materials published by Wiley-VCH GmbH