Pavel Yazhgur1, Nicolas Muller2, Frank Scheffold1. 1. Department of Physics, University of Fribourg, CH-1700 Fribourg, Switzerland. 2. iPrint Institute, HEIA-FR, HES-SO University of Applied Sciences and Arts Western Switzerland, Fribourg CH-1700, Switzerland.
Abstract
Structurally colored materials offer increased stability, high biocompatibility, and a large variety of colors, which can hardly be reached simultaneously using conventional chemical pigments. However, for practical applications, such as inkjet printing, it is vital to compartmentalize these materials in small building blocks (with sizes ideally below 5 μm) and create "ready-to-use" inks. The latter can be achieved by using photonic balls (PB): spherical aggregates of nanoparticles. Here, we demonstrate, for the first time, how photonic ball dispersions can be used as inkjet printing inks. We use solvent drying techniques to manufacture structurally colored colloidal aggregates. The as-fabricated photonic balls are dispersed in pentanol to form ink. A custom-made inkjet printing platform equipped with an industrial printhead and recirculation fluidic system is used to print complex structurally colored patterns. We increase color purity and suppress multiple scattering by introducing carbon black as a broadband light absorber.
Structurally colored materials offer increased stability, high biocompatibility, and a large variety of colors, which can hardly be reached simultaneously using conventional chemical pigments. However, for practical applications, such as inkjet printing, it is vital to compartmentalize these materials in small building blocks (with sizes ideally below 5 μm) and create "ready-to-use" inks. The latter can be achieved by using photonic balls (PB): spherical aggregates of nanoparticles. Here, we demonstrate, for the first time, how photonic ball dispersions can be used as inkjet printing inks. We use solvent drying techniques to manufacture structurally colored colloidal aggregates. The as-fabricated photonic balls are dispersed in pentanol to form ink. A custom-made inkjet printing platform equipped with an industrial printhead and recirculation fluidic system is used to print complex structurally colored patterns. We increase color purity and suppress multiple scattering by introducing carbon black as a broadband light absorber.
Over the past decade,
researchers have made tremendous progress
toward the understanding of stable structural coloration both from
crystalline and noncrystalline materials.[1,2] The
latter are essential since they provide noniridescent color similar
to conventional dyes and are thus often preferred. Furthermore, structural
colors do not age, contain no chemical pigments, stay ultraresistant
to bleaching, and can be manufactured from low toxic or even edible
materials, thus having much lower environmental and human health impacts.
However, the delivery or deposition of the structural color materials
remains a significant hurdle toward practical applications such as
graphical printing. In addition, conventional drop-casting or spray-coating
techniques have limited spatial resolution, and the resulting optical
properties are challenging to control.Inkjet printing proposes
a more flexible color deposition strategy
with high resolution. So far, the primary approach in fabricating
structural colors using inkjet printing consists in jetting nanoparticle
dispersions and drying them directly on the substrate.[3−6] After drying, the nanoparticles self-assemble in opal structures
revealing structural color. This approach, however, strongly limits
the range of available substrates. It also often requires substrate
pretreatment.[6,7] Depending on the substrate hydrophobicity,
different morphologies, including large-area films, thin film dots,
or microdomes, can be printed.[5,8−11] The printing process has to be adapted to avoid the coffee-ring
effect.[12] Furthermore, the necessity to
dry droplets containing nanoparticles directly on the substrates limits
the resolution and complicates color mixing.Previous work has
shown that one can confine nanoparticles inside
emulsion droplets to produce clusters of photonic crystals and glasses,
often named “photonic balls” (PB). Indeed, photonic
balls contaning a larger number of nanoparticles can be efficiently
fabricated using various colloidal assembly approaches. One can suspend
the PBs in a solvent phase and then use the obtained colored ink for
practical applications. Commonly, PBs with sizes in the tens of micrometer
range are employed.[13−21] To enhance color purity and suppress white appearance, broadband
light absorbers are often incorporated inside PBs.[19,22]PB-based inks, however, have never been tested before for
inkjet
printing applications. The lack of studies is likely related to standard
inkjet-printing technology’s substantial pigment size limitations.
The nozzles of industrial printheads range from 10 to 50 μm,
meaning that the acceptable pigment size to reliably jet is around
1–5 μm. This tiny pigment size demands rigorous pigment
dispersion optimization to keep high color performance and jettability.
Here we demonstrate prefabricating of such structurally colored entities
for later printing. We separate the PBs ink fabrication and the inkjet
printing to achieve high flexibility. We print red, green, and blue
colors by tuning the nanoparticle size appropriately. We demonstrate
that various substrates, including black office paper, can be used
without special pretreatment. Thus, the formulated inks can be used
in commercially available inkjet printers without additional preparation.
Results and Discussion
We prepare a
suspension of PBs in decanol using solvent drying
techniques, Figure . To this end, we produce a large quantity of polystyrene PBs ink
with ball mean diameters DPB below 10
μm. We chose polystyrene NPs with diameters, dNP, equal to 270, 206, and 180 nm to target red, green,
and blue colors (RGB). Small nanoparticle polydispersity (<5% as
revealed by scanning electron microscopy (SEM)) is essential for creating
bright colors. Furthermore, the strong negative charge of individual
nanoparticles (zeta potential around −40 mV) ensures PB dispersions’
stability. We prepare a batch with a mean diameter of approximately DPB ≈ 1.1–1.4 μm and a PB-polydispersity
of 30–45% (see SI for particle size
distributions). Each PB contains N ≈ 50–200
nanoparticles per PB, depending on nanoparticle size. Despite their
modest size, the individual PBs already demonstrate bright structural
coloring, as shown in dark-field microscopy (Figure b). As explained previously,[23,24] an aggregation number N ≥ 100 is sufficient
to create a structure factor peak due to short-range order, comparable
to the one found in infinite size photonic glasses (N → ∞). We purified the fabricated PBs by centrifugation
and redispersed them in pentanol. We use pentanol as a solvent due
to its mixed polar/nonpolar character ensuring dispersion stability
and its low viscosity η = 4 cP, surface tension γ = 25.5
mN/m, and drying time (boiling temperature 137 °C). We use the
as-formulated photonic ink to create colored homogeneous films and
complex printouts, either by thin-film casting or graphical inkjet
printing.
Figure 1
Schematic representation of the photonic-ink fabrication and inkjet
printing. (a) Fabrication of photonic balls (PBs) by solvent drying:
polystyrene nanoparticles (NPs) in water are emulsified in decanol.
Due to the finite solubility of water in decanol, the droplets shrink,
resulting in solid PBs. (b) SEM image of a dried PB and similar size
PB dark field image. The nanoparticle diameter is dNP = 180 nm in both cases. (c) Inkjet printing of preformulated
inks. (d) SEM image of a paper with PBs after inkjet printing.
Schematic representation of the photonic-ink fabrication and inkjet
printing. (a) Fabrication of photonic balls (PBs) by solvent drying:
polystyrene nanoparticles (NPs) in water are emulsified in decanol.
Due to the finite solubility of water in decanol, the droplets shrink,
resulting in solid PBs. (b) SEM image of a dried PB and similar size
PB dark field image. The nanoparticle diameter is dNP = 180 nm in both cases. (c) Inkjet printing of preformulated
inks. (d) SEM image of a paper with PBs after inkjet printing.To evaluate the color formation and optimize the
ink formulation,
we deposit thin homogeneous films of PBs with 270 nm nanoparticles
utilizing a thin-film spreader. An example of such a film is shown
in Figure a. The film
appears white with a reddish color hue. From mass conservation, we
can estimate the “effective” thickness of these films
to be around 2 μm, comparable to the PB diameter. A closer look
at the film structure reveals that, instead of fixed-thickness monolayers,
the PB suspensions dry in separated concentrated regions (see SEM
image, Figure d, and
microscopy image, Figure a). These distinct regions, however, cannot be observed by
a naked eye; the film appears homogeneous with some mm-scale density
variations, Figure a. Spectrally resolved reflection reveals a peak intensity around
650 nm, significantly obscured by the white background (see Figure b). The observed
whiteness is related to multiple light scattering of light, propagating
in and between different PBs in the film, as discussed in ref (23). The typical scattering
mean free path for a dense disordered packing of spheres for a wavelength
near the reflection peak is around 1–3 μm, comparable
to the PB size. To enhance color features and decrease multiple scattering
and whiteness, we add the broadband absorber carbon black (CB) to
the formulation[25] during PB assembly. Multiply
scattered photons travel longer distances inside the material and
are absorbed preferentially. As a result, the background light intensity
decreases while the single scattering reflection peak and its position
remain unchanged. In our experiments, we have compared PB-formulations
containing 2 and 5 wt % of carbon black. From previous studies[25] we know that these concentrations give absorption
lengths around 1.5 and 0.5 μm, comparable to the scattering
mean free path inside a PB. By removing most of the multiple scattering
background, we obtain colorful films as shown in Figure a. We use the measured reflection
spectra to calculate the chromaticity coordinates xy and plot them on the CIE 1931 (Commission Internationale de L’Eclairage)
chromaticity diagram. By adding CB, we move from the central white
point, defined using CIE standard illuminant D65, to more saturated
colors keeping the hue, as shown in Figure d. We obtain a magenta hue instead of pure
red since the reflected intensity increases again in the blue visible
spectral range. This rise at low wavelengths is known to exist (e.g.,
also for photonic glasses) and has been related to the backscattering
from individual NPs.[26] This effect is not
essential for green and blue colors since the uprise is shifted into
the invisible UV spectral range, but it prevents us from creating
pure red structural colors. In future studies, one can overcome this
problem by mixing chemical and structural colors, for example, by
adding substances absorbing blue light, or by changing the PB-structure
through, for example, the use of core–shell primary nanoparticles[26] or other optimized photonic structures such
as dielectric networks[27] or inverted photonic
glasses.[28]
Figure 2
Structural color optimization. (a) Pictures
of photonic ball films
(PB mean diameter, 1.5 μm, NP diameter, dNP = 270 nm) prepared with a thin film applicator for different
concentrations of carbon black (CB) in the PBs (wt % of carbon black
in dried photonic balls). (b) Reflection spectra of photonic balls
films for different CB concentrations. The measured reflection coefficient
is well below one due to the objective lens’s numerical aperture
(NA = 0.25). (c) Color intensity (height of the structural color peak
at λ = 650 nm) and excitation purity for different CB concentrations.
(d) CIE 1931 chromaticity diagram (CIE 1931 2° Standard Observer)
showing chromatic coordinates of the CIE standard illuminant D65 and
PB samples with various CB content. The graph shows a zoom around
the experimental points, and the inset represents the whole chromaticity
diagram.
Figure 3
(a) Microscopy images and photos of PB films. (b) Reflection
spectra
of films made from PBs with differently sized nanoparticles: dNP = 180 nm for the blue color, dNP = 206 nm for green, and dNP = 270 nm for red. (c) Normalized reflection coefficients and T-matrix
calculation for backscattering intensity of a single PB with aggregation
number N = 87. (d) CIE chromaticity diagram (CIE
1931 2° Standard Observer). The gray points show the experimental
data, and the dashed black line represents the T-matrix prediction
for various nanoparticle diameters. The red line represents the available
gamut defined as an envelope around simulated data. Inset: colors
calculated using experimental reflection spectra shown in (b).
Structural color optimization. (a) Pictures
of photonic ball films
(PB mean diameter, 1.5 μm, NP diameter, dNP = 270 nm) prepared with a thin film applicator for different
concentrations of carbon black (CB) in the PBs (wt % of carbon black
in dried photonic balls). (b) Reflection spectra of photonic balls
films for different CB concentrations. The measured reflection coefficient
is well below one due to the objective lens’s numerical aperture
(NA = 0.25). (c) Color intensity (height of the structural color peak
at λ = 650 nm) and excitation purity for different CB concentrations.
(d) CIE 1931 chromaticity diagram (CIE 1931 2° Standard Observer)
showing chromatic coordinates of the CIE standard illuminant D65 and
PB samples with various CB content. The graph shows a zoom around
the experimental points, and the inset represents the whole chromaticity
diagram.(a) Microscopy images and photos of PB films. (b) Reflection
spectra
of films made from PBs with differently sized nanoparticles: dNP = 180 nm for the blue color, dNP = 206 nm for green, and dNP = 270 nm for red. (c) Normalized reflection coefficients and T-matrix
calculation for backscattering intensity of a single PB with aggregation
number N = 87. (d) CIE chromaticity diagram (CIE
1931 2° Standard Observer). The gray points show the experimental
data, and the dashed black line represents the T-matrix prediction
for various nanoparticle diameters. The red line represents the available
gamut defined as an envelope around simulated data. Inset: colors
calculated using experimental reflection spectra shown in (b).The chromaticity diagram also allows us to access
the excitation
purity pe. The latter represents the relative
distance of the chromaticity coordinates from the white point and
can vary from 0 (pale color) to 1 (pure color). As shown in Figure c, adding CB increases
the excitation purity until it saturates. In the meantime, the color
intensity, defined as the reflection coefficient at peak position
λ = 650 nm, goes down with the addition of CB. The latter shows
that the contribution of broadband multiple scattering reflections
decreases when adding CB. Tuning the amount of CB added naturally
allows creating of colors with controlled purity, as illustrated in
the chromaticity diagram, Figure d. In the following, we retain the CB mass fraction
at 5% and thus keep the color purity constant. We have deposited films
for three different colors as shown in Figure . The spectral reflectance measurements confirm
the structural origin of the color. By using diameters 180 nm, 206
and 270 nm nanoparticles, the reflection peak position moves from
430 and 500 nm to 640 nm, respectively. The data suggest an approximate
ratio between the NP diameter and the wavelength of the reflection
peak as λmax/dNP ∼
2.3–2.4. The latter perfectly agrees with simple theoretical
considerations based on single scattering. Indeed, for a disordered
dense packing of spheres the structure factor peak is located around qmax ≃ 2.3π/dNP.[29] For the backscattering direction,
the maximum reflection is at λmax = 4π/qmaxneff, where neff is the effective refractive index of the
media. By assuming Maxwell–Garnett effective medium refractive
index neff ≈ 1.33, this finally
translates to λmax/dNP ≈ 1.74neff ≈ 2.3.The reflectance data can be collapsed on a master curve, normalizing
the reflection coefficient R(λ) by the color
peak intensity R(λmax) and plotting
the data as a function of dimensionless wavelength λ/dNP, as shown in Figure c. Near structural isotropy and random orientation
of PBs guarantees us the noniridescent color response. In the SI, we demonstrate a weak angular dependence
of PB structural colors.Next, we compare our reflection measurements
with numerical calculations
based on the multiple-sphere T-matrix method (MSTM). To this end,
we generate a photonic ball using a molecular dynamics-based algorithm,
taking into account the NP polydispersity, for details see ref (23). We obtain the angular
dependent intensity scattered by a single PB, that is, the differential
scattering cross-section dσ(θ, λ)/dΩ. This
allows us to define the backscattering cross-section as σBS(λ)where the integration limits θmin and θmax are determined by the numerical aperture
of microscope objective lenses. In such a single scattering model
for structural coloration, the above-defined backscattering cross-section
σBS(λ) is proportional to the reflection spectrum R(λ); see also refs (26 and 30). This allows us to estimate the normalized reflection coefficient
as R(λ)/R(λmax) = σBS(λ)/σBS(λmax). Comparing experiment and theory, we assume that the addition
of CB suppresses multiple scattering, but does not affect the photonic
ball single scattering function. We find the numerical data in good
agreement with the experimental data, especially near the reflection
peak, Figure c. PB-polydispersity
can explain differences between experiments and calculations at higher
wavelengths.[23]Based on the excellent
agreement between numerical calculations
and experiment, we can numerically predict a gamut of potentially
available colors, as shown in Figure d. To this end, we vary the nanoparticle diameter dNP in our simulations from 158 to 326 nm. This
allows us to move the color peak position from 380 to 780 nm. The
resulting chromaticity coordinates, shown by a dashed black line in Figure d, start in the blue
part of the spectrum, pass through green and magenta, and go back
to blue hues, but with lower excitation purity. The blue appearance
for large nanoparticle sizes is due to the secondary peak. We note
that the prediction line passes very close to the white point for
red hues. It is challenging to create pure red colors using densely
packed nanoparticle assemblies as shown by previous studies.[26] In the inset of Figure d we demonstrate the colors calculated from
the experimental reflection spectra. Visually, they are very close
to the ones observed in the printed films and images, showing the
consistency between our measurements and calculations. As shown in Figure , without adding
CB, multiple scattering decreases the color purity (i.e., moving in
the direction of D65) while retaining the same hue. This allows us
to estimate the available gamut as an envelope around the calculated
curve. This gamut is shown by the thin red line in Figure d. We predict that any point
inside this gamut can be reached by changing the nanoparticle size
and the amount of multiple scattering, for example, by controlling
the absorption length or thickness of PB films. Excessive amounts
of the black absorber or preparing thin films will lead to purer colors
on the edge of the predicted gamut. Both will, however, enormously
decrease the color intensity. We note that the magenta sample shows
higher color purity than expected from the simulations due to the
increased reflection at low wavelengths. The increase is more substantial
in the experiment than in simulations due to the remaining multiple
scattering contribution. Interestingly, in this case, multiple scattering
creates higher purity colors than what one can expect from the single
scattering model. The deposited film color shows high stability to
external factors, such as a humidity (see SI for more detail).We use optimized ink formulations for inkjet
printing with a professional
Seiko RC1536-L printhead jetting micrometer-sized particles at a native
resolution of 360 dpi. We employ a custom-built inkjet printer with
constant ink recirculation. The latter is essential as micrometer-sized
particles tend to sediment or agglomerate, thus clogging the nozzles
or the printhead’s fluidic channels. Furthermore, we use relatively
dilute PB dispersions (0.4% volume fraction) to prevent clogging.
Using an optimized waveform of the applied current driving the piezoelectric
actuators of the printhead, we achieve stable drop formation without
satellites, as shown in Figure . Under optimized settings, the as-formulated PB inks are
jettable, and we proceeded to print tests. First, we program complex
printing patterns containing fine lines to assess the overall printing
quality. Next, we printed 10 subsequent layers as the PBs concentration
in the formulation was relatively low. We require a minimum density
of PBs to obtain coverage and photonic coloration. We employed a dwell
time of 1 min between each of the 10 printing steps to allow each
layer to dry. Figure shows some of the as-obtained prints. In the SI, we additionally demonstrate how the PB coverage and color
response develop with an increasing number of printed layers. Our
results demonstrate the high quality of complex colored patterns of
directly printed PB pigments. We furthermore found that other substrates
are equally suitable for printing without pretreatment (see SI); however, the black paper shown in Figure gives the best color
performance.
Figure 4
Dropwatching performed with an optimized waveform. Note
that the
image is obtained by stroboscopically illuminating the drops with
a LED that emits light at the printhead’s jetting frequency.
The nozzles fire with a slight delay concerning each other to visualize
the drop evolution after their ejection from the nozzle plate. The
excitation voltage was set to 23 V, resulting in the generation of
two drops of 9 pL each per pulse. The printhead operates at a native
resolution of 360 dpi and possesses four nozzle rows (only one of
which is in focus during drop watching), thus the distance between
drops ejected from adjacent nozzles is 282 μm. The inset shows
the applied voltage waveform for one excitation pulse during the stages
of waiting (wavefront 0) and printing (waveform 1). Note that one
excitation pulse yields two drops of equal volume. The height of the
central excitation plateau can be parametrically varied to avoid satellites,
change the drop speed, and thus achieve optimal jetting performance.
Figure 5
(a) Photos of inkjet-printed business cards featuring
complex structurally
colored patterns of the author’s affiliation. (b) Reflection
spectra of the inkjet-printed PB films. Dashed line, reflection signal
from the black paper substrate. The University of Fribourg logo is
reprinted with permission.
Dropwatching performed with an optimized waveform. Note
that the
image is obtained by stroboscopically illuminating the drops with
a LED that emits light at the printhead’s jetting frequency.
The nozzles fire with a slight delay concerning each other to visualize
the drop evolution after their ejection from the nozzle plate. The
excitation voltage was set to 23 V, resulting in the generation of
two drops of 9 pL each per pulse. The printhead operates at a native
resolution of 360 dpi and possesses four nozzle rows (only one of
which is in focus during drop watching), thus the distance between
drops ejected from adjacent nozzles is 282 μm. The inset shows
the applied voltage waveform for one excitation pulse during the stages
of waiting (wavefront 0) and printing (waveform 1). Note that one
excitation pulse yields two drops of equal volume. The height of the
central excitation plateau can be parametrically varied to avoid satellites,
change the drop speed, and thus achieve optimal jetting performance.(a) Photos of inkjet-printed business cards featuring
complex structurally
colored patterns of the author’s affiliation. (b) Reflection
spectra of the inkjet-printed PB films. Dashed line, reflection signal
from the black paper substrate. The University of Fribourg logo is
reprinted with permission.
Conclusions and Outlook
We have demonstrated
the fabrication of micrometer-sized PB pigments
that give structural coloration. Incorporating carbon black (CB) as
a broadband light absorber suppresses undesired multiple scattering.
Adding CB drastically increases the color excitation purity while
at the same time reducing the color intensity. This allows us to create
red, green, and blue colorful films. We have used electromagnetic
simulations to predict the full gamut of available colors. Furthermore,
we disperse the PBs in pentanol, forming a stable dispersion. We adapted
the formulation’s rheological parameters to fit the specifications
of a state-of-the-art industrial printhead. Using a custom-built inkjet
printer with recirculation, we printed high-quality test patterns
for red, green, and blue PBs. To optimize the drop formation, we adjusted
the waveform of the print head driving current and performed drop-watching
experiments. To avoid clogging the printhead, we worked with a dilute
ink formulation of less than 1% PB volume fraction. Consequently,
we need multiple passes to obtain sufficient PB coverage of the substrate.
Increasing the PBs concentration for printing in a single pass without
clogging the printhead requires further optimization steps. In our
experiments, large PBs in the polydisperse distribution’s tail
can lead to clogging. Therefore, we could only jet formulations with
a PB mean diameter of 1.1–1.4 μm. We plan to study the
effect of mixing PBs in different ratios using inkjet technology in
future work. We argue that an optimized internal structure of the
primary NP or PB, for example, based on a network or core–shell
architecture, should improve red-color performance.
Experimental Section
Nanoparticle Synthesis and Photonic Ball Assembly
We synthesize polystyrene nanoparticles (NPs) using standard surfactant-free
polymerization using 4-vinylbenzenesulfonate as an ionic comonomer
and methanol as a cosolvent. By varying the methanol content, we could
obtain NPs of different sizes. Scanning electron microscopy SEM (Tescan
Mira3 LM FE) determines the mean diameter of the spheres to be 180,
206, and 270 nm, with a polydispersity of approximately 5% (from SEM
measurements).Using these NPs, we fabricate photonic balls
(PB) by solvent-drying. To this end, we add about 1 mL of aqueous
NP-dispersion, at 1% volume fraction, to 50 mL of anhydrous decanol.
We pass the mixture through a narrow constriction using two syringes
to make small PBs (mean PB diameter ≃ 1.1–1.4 μm).
Since water is slightly soluble in decanol, the droplets rapidly shrink,
leading to solid PBs. Finally, we purify PB dispersions by centrifugation
and redisperse PBs in pentanol. We determine the mean size and the
particle size distribution (PSD) from image analysis based on scanning
electron microscopy (SEM). For most formulations, we add carbon black
(Vulcan XC72R, Cabot corporation, absorption spectra in SI), typically 5 wt % in water using 1 wt % Tween
20 (Sigma-Aldrich) as a stabilizer, to the polystyrene aqueous nanoparticle
dispersion before emulsification.The formulated PB dispersions
in pentanol slowly sediment on a
time scale of hours. Though they can be reversibly redistributed by
shaking or stirring, we use freshly prepared samples (1–2 days
old) to avoid any potential impediments.
Optical Characterization
We measure
reflection spectra in a bright field configuration using a Zeiss Axio
Scope.A1 (Zeiss AG, Oberkochen, Germany) light microscope using Zeiss,
EC Epiplan-Neofluar ×10, NA = 0.25 objective, and halogen lamp
(Zeiss HAL100) light source in Koehler illumination. This allows us
to collect reflected light from θmin = 165°
to θmax = 180°. The reflected light is collected
by an optical fiber (Ocean optics, QP230–2-XSR, 230 μm
core) with a measurement spot size of ≈25 μm. We analyze
the collected light with an Ocean Optics Maya2000 Pro spectrometer
(Ocean Optics, Dunedin, FL, U.S.A.). We calibrate the spectra by measuring
the reflectance of a mirror as a reference. Light microscopy images
are acquired with a CCD camera from Point Grey (GS3-U3-28S5C-C, FLIR
Integrated Imaging Solutions Inc., Richmond, Canada). We use a white
standard (Spectralon) to calibrate the white balance. We took photographs
of the PB films using a DSLR camera Canon EOS 200D and white paper
as a white standard.
Numerical Calculations
We employ
the multiple-sphere T-matrix method (MSTM open source code) to calculate
numerically the differential scattering cross-section of densely packed
assemblies of nanoparticles (PBs).[31,32] We generate
the PB-structures used as input for the MSTM code by running a force-biased
generation algorithm followed by a molecular dynamics equilibration
using the PackingGeneration project,[33,34] as explained
in ref (23). This algorithm
supports polydisperse packings. To mimic the experimental conditions,
we chose to work with a polydispersity of 5% with a filling fraction
of φ = 0.60.The CIE chromaticity diagrams and color excitation
purities were calculated using freely available Colour Science python
package.[35] To this end, the reflection
spectra R(λ) are converted to tristimulus X, Y, Z values using white
illumination spectrum (CIE Standard Illuminant D65) I(λ) and CIE 1931 2° Standard Observers color matching
functions x̅(λ), y̅(λ), and z̅(λ) for primary colors:whereTristumulus is then converted to normalized
CIE xy space by x = X/(X + Y + Z) and y = Y/(X + Y + Z). This allow us to define color purity aswhere (x, y) corresponds
to the white point and (xI, yI) corresponds to the intersection of the straight line
connecting white and sample point with the perimeter of the chart.
For Illuminant D65, the white point is (0.31271, 0.32902).
Film Spreading
We spread as-formulated
PB inks on different substrates using a Zehntner ZAA 2300 Automatic
thin-film applicator. For this purpose, we employ a 25 μm profile
wire bar. PB inks (4% volume fraction of PB in pentanol) are drop-casted
in intervals of 60 pl using a pipet. After each application, the drop
is spread at a constant speed on the wire bar. The thin film spreading
is performed at ambient conditions without heating the substrate.
Inkjet Printing
The Seiko RC1536-L
was identified as the optimal printhead that fulfils all the requirements
for jetting inks loaded with >1 μm sized pigments. This printhead
operates at an intrinsic resolution of 360 dpi while possessing four
jetting rows. In addition, this printhead allows for the recirculation
of the ink, an essential feature since micrometre-sized pigments tend
to sediment or even agglomerate, resulting in the rapid clogging of
the nozzles and the printhead’s fluidic channels. Therefore,
the recirculation flow rate is set to 30 mL/min. In addition, the
Seiko RC1536-L can operate with different solvents, and we identify
no compatibility issues for pentanol used in this study. Dropwatching
(DW) studies a drop’s formation and temporal development once
ejected from a printhead. Optimizing drop speed and avoiding satellites
that deteriorate the overall printing quality is a necessary step
to jet ink in a stable and reproducible manner. We perform DW at a
1 kHz repetition rate and can reach the acoustic optimum. The latter
is the optimal holding time of the primary excitation plateau for
which a maximal amount of energy can be transferred to a drop, thus
increasing its velocity. The acoustic optimum is found to be 5.3 μs.
The voltage applied to the piezoelectric actuators, responsible for
the ejection of the ink in a printhead, is set to 23 V. These settings
yield two well-defined drops, each of a volume of 9 pL and a speed
of 6 m/s, without any satellites. Moreover, tickling the piezoelectric
elements at the nozzle level avoids drying and sedimentation. The
final waveform and the determination of the acoustic optimum are reported
in the SI.
Authors: Nicolas Vogel; Stefanie Utech; Grant T England; Tanya Shirman; Katherine R Phillips; Natalie Koay; Ian B Burgess; Mathias Kolle; David A Weitz; Joanna Aizenberg Journal: Proc Natl Acad Sci U S A Date: 2015-08-19 Impact factor: 11.205
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