Ilja Fescenko1, Abdelghani Laraoui1, Janis Smits1,2, Nazanin Mosavian1, Pauli Kehayias1,3, Jong Seto4, Lykourgos Bougas5, Andrey Jarmola6,7, Victor M Acosta1. 1. Center for High Technology Materials and Department of Physics and Astronomy,University of New Mexico, 1313 Goddard St SE, Albuquerque, 87106 New Mexico, USA. 2. Laser Centre of the University of Latvia, Jelgavas street 3, Riga, LV-1004, Latvia. 3. Department of Physics, Harvard University, 17 Oxford St, Cambridge, 02138 Massachusetts, USA. 4. Department of Bioengineering and Therapeutic Sciences, School of Medicine, University of California-San Francisco, 1700 4th St, San Francisco, 94158 California, USA. 5. Johannes Guttenberg University, Saarstraße 21, 55128 Mainz, Germany. 6. Department of Physics, University of California, Berkeley, 366 LeConte Hall, Berkeley, 94720 California, USA. 7. ODMR Technologies Inc., 2041 Tapscott Ave, El Cerrito, 94530 California, USA.
Abstract
Magnetic microscopy of malarial hemozoin nanocrystals is performed by optically detected magnetic resonance imaging of near-surface diamond nitrogen-vacancy centers. Hemozoin crystals are extracted from Plasmodium falciparum-infected human blood cells and studied alongside synthetic hemozoin crystals. The stray magnetic fields produced by individual crystals are imaged at room temperature as a function of the applied field up to 350 mT. More than 100 nanocrystals are analyzed, revealing the distribution of their magnetic properties. Most crystals (96%) exhibit a linear dependence of the stray-field magnitude on the applied field, confirming hemozoin's paramagnetic nature. A volume magnetic susceptibility of 3.4 × 10-4 is inferred with use of a magnetostatic model informed by correlated scanning-electron-microscopy measurements of crystal dimensions. A small fraction of nanoparticles (4/82 for Plasmodium falciparum-produced nanoparticles and 1/41 for synthetic nanoparticles) exhibit a saturation behavior consistent with superparamagnetism. Translation of this platform to the study of living Plasmodium-infected cells may shed new light on hemozoin formation dynamics and their interaction with antimalarial drugs.
Magnetic microscopy of malarial hemozoin nanocrystals is performed by optically detected magnetic resonance imaging of near-surface diamond nitrogen-vacancy centers. Hemozoin crystals are extracted from Plasmodium falciparum-infected human blood cells and studied alongside synthetic hemozoin crystals. The stray magnetic fields produced by individual crystals are imaged at room temperature as a function of the applied field up to 350 mT. More than 100 nanocrystals are analyzed, revealing the distribution of their magnetic properties. Most crystals (96%) exhibit a linear dependence of the stray-field magnitude on the applied field, confirming hemozoin's paramagnetic nature. A volume magnetic susceptibility of 3.4 × 10-4 is inferred with use of a magnetostatic model informed by correlated scanning-electron-microscopy measurements of crystal dimensions. A small fraction of nanoparticles (4/82 for Plasmodium falciparum-produced nanoparticles and 1/41 for synthetic nanoparticles) exhibit a saturation behavior consistent with superparamagnetism. Translation of this platform to the study of living Plasmodium-infected cells may shed new light on hemozoin formation dynamics and their interaction with antimalarial drugs.
Magnetic field sensors based on diamond nitrogen-vacancy (NV) centers have
emerged as a powerful platform for detecting nanomagnetism in biological samples
[1,2]. With this technique, magnetic fields from magnetotactic bacteria [3], ferritin proteins [4], magnetically labeled cancer cells [5], and neuronal currents [6] have been detected with a remarkable combination of spatial
resolution and sensitivity. Diamond magnetic microscopy has even been able to
resolve magnetic fields produced by individual nanoparticles exhibiting
ferromagnetism and superparamagnetism [7-9]. However, observation
of individual paramagnetic nanoparticles at ambient temperature has remained a
challenge, owing to their weaker magnetic signatures.Of particular interest are paramagnetic hemozoin biocrystals that nucleate
inside several blood-feeding organisms [10],
including the Plasmodium species responsible for malaria. Malarial
parasites feed on their host’s hemoglobin for essential amino acids, while
decomposing the iron complexes into highly toxic free radicals. These radicals are
subsequently bound into chemically inert elongated crystals (50–1500 nm in
size) called “hemozoin” [10-12]. Hemozoin crystals
are a biomarker for malaria, and a substantial effort has been devoted to developing
diagnostic platforms based on their detection [10,13]. Hemozoin detection is
also used in pharmacological studies of malaria [14], since some antimalarial drugs work by altering hemozoin formation
[11,12].Hemozoin crystals have characteristic optical properties, including
birefringence [15], linear dichroism [16], and nonlinear dielectric susceptibility
[17], that allow their detection without
the use of extrinsic labels. They are also paramagnetic due to the presence of
unpaired electrons in their Fe3+ centers, meaning they are magnetized
only in the presence of an external magnetic field. Direct detection of
hemozoin’s magnetization is intriguing because it gives quantitative
information related to crystal size and iron composition.Several methods of studying hemozoin magnetic signatures have been
demonstrated, including magneto-optical rotation [18-20],
nuclear-magnetic-resonance relaxometry [21,22], electron paramagnetic
resonance [23], and magnetic separation
[24]. Direct magnetic detection of
hemozoin ensembles has been performed by bulk magnetometry [25-27].
However, detection of stray magnetic fields produced by single hemozoin nanocrystals
has not yet been reported, likely due to stringent requirements on sensitivity and
spatial resolution.We hypothesized that diamond magnetic microscopy [3,5,9,28,29] possesses sufficient sensitivity and
spatial resolution to image the stray magnetic field produced by individual hemozoin
nanocrystals. To test this, we performed room-temperature
optically-detected-magnetic-resonance (ODMR) imaging of a NV-doped diamond substrate
in contact with either “natural”
(Plasmodium-produced) or synthetic hemozoin nanocrystals. Spatially
resolved maps of the magnetic fields produced by individual hemozoin nanocrystals
were obtained and used to characterize the distribution of their paramagnetic
properties. With appropriate modifications, this detection strategy may be used to
study the formation dynamics of hemozoin crystals in living
Plasmodium-infected cells.
DETECTION PRINCIPLE
NV centers are spin-1 defects in the diamond lattice. The energy levels and
optical excitation and emission path-ways of the NV center are shown in Fig. 1(a). For a magnetic field
B‖ applied along the NV symmetry axis, the
|0〉 ↔ | ± 1〉 spin transition frequencies are
f ± D ±
γNVB‖,
where D = 2.87 GHz is the zero-field splitting and
γNV = 28 GHz/T is the NV gyromagnetic ratio
[Fig. 1(b)]. The principle of NV
magnetometry is to measure these transition frequencies precisely with ODMR
techniques [1,2]. When 532-nm light continuously excites NV centers, the ground-state
population is optically polarized into |0〉 via a nonradiative, spin-selective
decay path-way involving intermediate singlet states. Because of the same
spin-selective decay mechanism, NV centers excited from |0〉 emit fluorescence
(collected at 650–800 nm) at a higher rate than those originating from
|1±〉. Application of a transverse microwave magnetic field mixes the
spin populations, resulting in a dip in fluorescence when the microwave frequency
matches the spin transition frequencies, f±
[Fig. 1(c)]. Monitoring of NV fluorescence
as the microwave frequency is swept across the resonances reveals
f± and thus
B‖.
FIG. 1.
Diamond magnetic microscopy. (a) NV energy-level diagram depicting
magnetic sublevels (|0〉, 1), optical (green arrow), fluorescence (red
arrows), and nonradiative (gray arrows) pathways. Gray arrows excitation show
spin-selective intersystem crossing leading to polarization into the |0〉
ground-state sublevel. (b) Energy splitting of the ground-state sublevels in an
external magnetic field applied along the NV axis. Blue arrows indicate the
f± microwave transitions. (c) Example of
an ODMR spectrum. From the separation between peaks, the projection of the local
magnetic field along the NV axis is inferred. (d) Epifluorescence ODMR
microscope used for magnetic imaging. Dry hemozoin crystals are placed on top of
a diamond substrate with an ~ 0.2-μm top layer
doped with NV centers. (e) Experimental and photoelectron-shot-noise-limited
detection threshold for 65 × 65 nm2 detection pixels versus
averaging time. The experimental data are fit to the function
with α = 8.4 ± 0.1 μT
s1
The minimum detectable magnetic field of a Lorentzian ODMR signal is limited
by photoelectron shot noise as [2,30,31]
where Γ is the full-width-at-half-maximum
(FWHM) linewidth, C is the contrast (the relative difference in
ODMR signal on and off resonance), I0 is the
photoelectron detection rate, and t is the measurement time. In
room-temperature NV ODMR experiments, the spin projection noise is typically more
than one order of magnitude lower than the photoelectron shot noise and is therefore
negligible [32-34]. With typical experimental values
(Γ = 12 MHz, C = 0.02,
I0 5 106 electrons/s) for a 65 ×
65 nm2 pixel, detection Eq.= (1) predicts
Bmin ≃ 7.4 μT for
t = 1 s. Experimentally, we observe a detection threshold that
is within 15% of the photoelectron shot-noise limit [Fig. 1(e)]. The experimentally determined
Bmin is calculated as the standard deviation of
field values in 65 × 65 nm2 pixels in magnetic images lacking
visible features. Scaling of the experimental detection threshold to a 390 ×
390 nm2 pixel (approximately the diffraction-limited resolution), gives
Bmin ≃ 1.4 μT
threshold for t = 1 s. This detection is a factor of six lower than
that for 65 × 65 nm2 pixels because I0
increases by a factor of 36 [Eq. (1)].This detection threshold is sufficient to image the microtesla fields from
hemozoin nanocrystals. In our experimental geometry [Fig. 1(d)], hemozoin crystals are magnetized along the
x axis and the B
component of the magnetic field is detected by diamond magnetic microscopy. In the
point-dipole approximation [35], which is
valid for crystals with dimensions smaller than the ~390-nm spatial
resolution of our microscope, the magnetic field produced from a single crystal
(volume V) is where B0 is the applied magnetic field
and χ is the volume magnetic susceptibility.
χ depends on the crystal orientation and purity, and
values of (3.2−4.6) 10−4
have been reported in the literature [10,18]. For ×conservative
values χ = 3.2 × 10−4,
V = 100 × 100 × 100 nm3, and NV
sensing depth z = 200 nm, the field produced by a hemozoin
nanocrystal in a B0 = 350 mT applied field has a minimum
of Bx= −1.1 μT at x
= y = 0 and maxima of
B = 0.2 μT
at y = 0, x = ± 245 nm.To more accurately describe the instrument response, magnetostatic modeling
is used to calculate the
B(x,
y, z) field produced by elongated crystals,
with dimensions taken from scanning-electron-microscopy (SEM) images. We then
integrate B over the NV vertical
distribution, which is assumed to be uniform from 20 to 220 nm below the diamond
surface (Appendix B). Finally, we account for
the effect of optical diffraction and image drift by convolution with a
two-dimensional Gaussian kernel (“blur”) with 540-nm FWHM. A
discussion of model parameters is given in Appendix
F.
EXPERIMENTAL METHODS
Figure 1(d) depicts the epifluorescence
ODMR micro-scope used for diamond magnetic microscopy. The diamond substrate is a
[110]-polished, 2 × 2 × 0.08 mm3 type-Ib-diamond substrate
grown by high-pressure, high-temperature synthesis. 4He+ ions
were implanted into the substrate [31] at
three different energies (5, 15, and 33 keV) to produce a roughly uniform
distribution of vacancies in an ~ 200-nm near-surface layer (see Appendix B). After implantation, the diamond
was annealed in a vacuum furnace [36] at 800
°C (4 h) and 1100 °C (2 h) to produce a near-surface layer of NV
centers with a density of ~ 10 ppm. Microwaves are delivered by copper loops
printed on a contacting glass coverslip. A magnetic field, ,
produced by a pair of permanent magnets, points along one of the in-plane NV axes. A
linearly polarized 532-nm laser beam (0.2 W) excites the NV centers over an area of
~ 40 × 40 μm2, and their
fluorescence is imaged onto a scientific CMOS (sCMOS) camera. A detailed description
of the apparatus is given in Appendix B.Magnetic field maps are obtained by performing ODMR imaging of the
near-surface NV layer (see Appendix D).
Fluorescence images (600 pixels 600 pixels, 39 × 39
μm2 field of view, 3-ms exposure time) of the
NV layer are recorded at 16 different microwave frequencies around each of the NV
ODMR resonances (32 frequencies in total). The sequence is repeated, and the image
set is integrated for several minutes to increase the signal-to-noise ratio. The
fluorescence-intensity-versus-microwave-frequency data for each pixel are fit by
Lorentzian functions to determine the ODMR central frequencies,
f±. The magnetic field projection along the NV axis is then
calculated as B‖ ≡
B0 +B
= (f+ −
f−)/(2γNV).
Determining B‖ in this way eliminates common-mode
shifts in f± due to temperature-dependent changes in
zero-field splitting D [37]
and variations in longitudinal strain [33,38]. The external field,
B0, is subtracted from the image, revealing a map of
the stray magnetic fields, B, produced
by the magnetized nanocrystals.Figure 2 shows SEM images of the
synthetic and natural hemozoin nanocrystals studied here. The synthetically produced
hemozoin crystals (tlrl-hz, InvivoGen) have an elongated shape and varied dimensions
(50–1500 nm). The natural hemozoin nanocrystals, extracted
from human red blood cells cocultured with Plasmodium falciparum
[24], have similar elongated shapes with
slightly larger average dimensions. For diamond magnetic microscopy, hemozoin
samples are diluted in water and drop-cast on the diamond surface to yield a
relatively nonaggregated surface density with approximately 0.04
nanocrystals/μm2.
FIG. 2.
Hemozoin nanocrystals. (a) SEM image of synthetic hemozoin nanocrystals
on a diamond substrate. (b) SEM image of natural hemozoin nanocrystals extracted
from human red blood cells cocultured with Plasmodium
falciparum, on a diamond substrate. (c) Molecular structure of a
hematin dimer, which can form hemozoin crystals when joined together by hydrogen
bonds. The molecular structure is expected to be the same for natural and
synthetic hemozoin crystals.
RESULTS
Figure 3(a) shows a bright-field
transmission image of natural hemozoin crystals dispersed on the diamond
sensor’s surface. Most of the bright features in the image come from
host-cell residue; they do not appear in magnetic images. Results from another
region without residue are reported in Appendix
3.
FIG. 3.
Natural hemozoin. (a) Bright-field transmission image of natural
hemozoin crystals dispersed on a diamond substrate. The scale bar is the
relative transmission. (b) SEM image of the same nanocrystals. To enhance
hemozoin visibility, the SEM image is modified by a segmentation procedure,
depicted in Fig. 7. (c)
Diamond-magnetic-microscopy image for applied field
B0 = 350 mT. Nanocrystals labeled n1–n5
are studied in detail in Figs.
4(a)–4(e).
Figure 3(b) displays a modified SEM
image of the same region as in Fig. 3(a). We
use an image-segmentation procedure (Appendix
C) to more clearly visualize the hemozoin crystals. Figure 3(c) shows the corresponding magnetic field map
obtained by diamond magnetic microscopy. Of a total of 120 features identified as
potential hemozoin nanocrystals in the SEM image, 82 exhibit magnetic features
resolved by our technique. Surprisingly, the two magnetic features with the largest
magnitude correspond to crystals with dimensions of ~200 nm or less in the
SEM image. Such anomalously strong features are observed consistently, but
infrequently (less than 5% of all magnetic features), in both natural and synthetic
hemozoin samples. We tentatively attribute them to superparamagnetism [39], for reasons discussed below.Five example crystals are labeled n1–n5 in the images in Figs. (b) and 3(c), including one of the aforementioned strongly magnetized
nanocrystals (n5). Figure 4(a) shows SEM images
of each example crystal; n1–n4 have a typical size and shape for these
crystals, whereas n5 is barely visible, with dimensions of <
200 nm. Figure 4(b) shows the corresponding
diamond-magnetic-microscopy images taken at B0 = 186 mT.
Each crystal exhibits a different field pattern characteristic of its unique size,
shape, and orientation.
FIG. 4.
Magnetic imaging of individual natural hemozoin nanocrystals. (a) SEM
images of hemozoin nanocrystals n1–n5, labeled in Fig. 3. (b) Corresponding diamond-magnetic-microscopy
images (B0 = 186 mT) for each crystal. (c) Simulated
magnetic images (χ = 3.4 ×
10−4, B0 = 186 mT) obtained with
nanocrystal dimensions inferred from (a). Only the crystal at the center of each
SEM image is included in the model. (d) Line cuts of each nanocrystal (red,
measured; gray, simulated), from which the field-pattern amplitude
ΔB is inferred. A minimum feature width of ~
400-nm FWHM is observed for n5, close to the optical diffraction-limited
resolution of our microscope. (e)
ΔB(B0) = 0
(zero-coercivity assumption). (f) Histogram of ΔB (B0 =
350 mT) of the 78 crystals exhibiting linear paramagnetic
behavior (including n1–n4). The four crystals exhibiting
superparamagnetic behavior (including n5) are excluded from the analysis. (g)
Fitted slopes, dΔB/dB0, as a function
of crystal area, A, as determined from SEM images. The data are
fitted with an empirical saturation function,
dΔB/dB0 =
Smax/(1 +
Asat/A), with
Smax = 16.5 ± 1.4
μT/T and
Asat = 0.17 ± 0.03
μm2.
Figure 4(c) shows the expected magnetic
field patterns of each nanocrystal, calculated with the procedure described in Sec. II. Each nanocrystal is modeled as a
three-dimensional (3D) ellipsoid with uniform susceptibility and dimensions inferred
from the corresponding SEM images. The height of the crystals is assumed to be 200
nm. For n1–n4, the model produces field patterns similar to those observed
experimentally. The pattern amplitude is best described with a volume magnetization
M = 50 A/m, which corresponds to a volume susceptibility
χ =
μ0M/B0 = 3.4
× 10−4, where μ0 =
4π × 10−7 m T/A is the vacuum
permeability. This value of χ is well within the range of
literature values for hemozoin [10,18] and is in good agreement for most crystals,
despite a wide variation in their magnetic patterns. This demonstrates that crystal
size, shape, and orientation are the primary factors in determining the magnetic
pattern behavior. Factors contributing to ~ 25% or less uncertainty in
χ are discussed in Appendix F.For crystal n5, however, the model does a poor job of describing the
magnetic behavior. It predicts a field-pattern amplitude more than one order of
magnitude lower than the observed value, suggesting n5 is not paramagnetic hemozoin.
It is difficult to estimate this particle’s magnetization, since it may arise
from a small inclusion or an adjacent particle not resolved in the SEM image.Line cuts of the magnetic field patterns for n1–n5 are shown in Fig. 4(d). The line cuts are obtained by
averaging B values over six rows (390
nm) in a band along the magnetic feature, as indicated in Figs. 4(b) and 4(c).
The line cuts are used to calculate the magnetic pattern amplitude
ΔB, determined from the difference in extreme
B values in the line cuts. The
uncertainty in ΔB is approximately ±0.2
μT, on the basis of the scatter in the
B values in the line cuts in a
magnetic-feature-free region. The amplitudes for n1–n4 differ due to size and
shape, but all fall in the range ΔB = 1.3−2.9
μT. However, the amplitude for n5 is much larger,
ΔB = 11.0 ± 0.2 μT. The
FWHM of this feature is ~400 nm, close to our microscope’s
diffraction-limited spatial resolution, providing further evidence that it comes
from a pointlike particle.Magnetic images of all nanocrystals shown in Fig. 3 were obtained for six values of the external field:
B0 = 83, 122, 186, 240, 300, and 350 mT. From these
images, we identify 82 individual magnetized crystals and calculate
ΔB as a function of B0 for
each of them. The ΔB(B0) curves
for all 82 crystals are provided in Fig. 13.
Figure 4(e) shows the curves of
nanocrystals n1–n5. A linear dependence is found for n1–n4 and is
characteristic of a paramagnetic response. In total, 78 of 82 natural hemozoin
crystals show a similar linear behavior, with a slope in the range
dΔB/dB0 = 4−16
μT/T.
FIG. 13.
Natural hemozoin: field-dependent magnetization.
ΔB(B0) curves for all 82
natural hemozoin crystals reported in Sec.
IV (left). Magnetic image (B0 = 350 mT)
showing the positions of each nanocrystal (right).
The remaining four nanoparticles from the natural hemozoin sample exhibit a
saturation behavior, as seen for n5. These curves are fit with a Langevin function
of the form ΔB(B0) =
a[coth(bB0)
− 1/(bB0)], where
a and b are fit parameters. For n5,
a = 13.3 ± 0.7 μT and
b = 0.017 ± 0.002 mT−1. This model is
commonly used to describe superparamagnetic nanoparticles in the limit that the
thermal energy exceeds the magnetic anisotropy energy [40]. The large magnetization and saturation behavior
observed in these small nanoparticles is consistent with recent reports of
superparamagnetism in hemozoin samples [39,41]. However, only a small
fraction (~ 5% or less) of the nanoparticles exhibit such behavior. This may
explain why superparamagnetic behavior was not observed in previous ensemble studies
with unrefined samples [18,22,25]. The atomic
structure of these outlier nanoparticles remains a topic for future work.A histogram of B for all 78 paramagnetic nanocrystals at
B0 = 350 mT is shown in Fig. 4(f). The distribution is characterized by a mean
amplitude of 2.9 μT, a median of 2.6
μT, and a standard deviation of 1.6
μT. Figure 4(f)
plots the best-fit slopes,
dΔB/dB0, as a function of
crystal area, as determined from SEM images. The slopes increase in a roughly
monotonic fashion before saturating when the crystal dimensions exceed the spatial
resolution of the microscope. This behavior is expected for crystals with uniform
susceptibility. For crystal volumes much smaller than the sensing voxel,
V «Vsense ≈ 0.4
× 0.4 × 0.2 μm3, Eq. (2) predicts
dΔB/dB0 ∝
χ V, while for V
»Vsense we expect
dΔB/dB0 ∝
χ independent of crystal dimensions.We have also measured the magnetic properties of synthetic hemozoin crystals
manufactured by InvivoGen. These nanocrystals are commonly used as a model for
natural hemozoin, owing to their ease of procurement and nearly identical crystal
morphology and chemical structure [42,43]. Previous studies reported similarities in
the ensemble magnetic properties of synthetic and Plasmodium
falciparum–extracted hemozoin [44]; however, here we compare the distribution of their magnetic
properties at the single-nanocrystal level.Figure 5(a) shows a confocal reflection
image of dried synthetic hemozoin crystals dispersed on the diamond substrate. Of a
total of 46 dark features identified as potentially being hemozoin, 41 produce
magnetic features in the diamond-magnetic-microscopy images [Fig. 5(b)]. As with natural hemozoin,
B(B0) curves are generated by
monitoring these features in magnetic images taken at six different applied fields.
The ΔB(B0) curves for all 41
nanocrystals are displayed in Fig. 14. One
nanocrystal exhibits a Langevin saturation, suggesting superparamagnetic behavior,
while the remaining 40 crystals exhibit a linear dependence. Figure 5(c) shows the
ΔB(B0) curves for three
example nanocrystals exhibiting linear behavior, labeled s1–s3 in Fig. 5(b). Magnetostatic modeling [Fig. 10(d)] of these three nanocrystals shows
good agreement with the experimental images with χ = 3.4
× 10−4. This is the same value as found for natural
hemozoin [Figs. 4(c) and 4(d)], indicating the natural and synthetic crystals have
similar magnetic properties.
FIG. 5.
Synthetic hemozoin. (a) Confocal reflection image (excitation at 405 nm)
of synthetic hemozoin nanocrystals on a diamond substrate. In total, 46 dark
features are identified as likely hemozoin nanocrystals. (b) Corresponding
diamond-magnetic-microscopy image at B0 = 350 mT. 41
of 46 possible crystals exhibit an observable magnetic feature. (c)
ΔB(B0) curves for three
synthetic hemozoin crystals labeled in (b). Solid lines are weighted linear
fits. (d) Histograms of
dΔB/dB0 for natural and
synthetic hemozoin crystals.
FIG. 14.
Synthetic hemozoin: field-dependent magnetization.
ΔB(B0) curves for all 41
synthetic hemozoin crystals reported in Sec.
IV (left). Magnetic image (B0 = 350 mT)
showing the positions of each nanocrystal (right).
FIG. 10.
Individual synthetic hemozoin crystals. (a) Confocal reflection images
of hemozoin nanocrystals s1–s3, labeled in Figs. 5(a) and 5(b). The
estimated area used for magneto-static modeling is outlined in red. (b)
Corresponding diamond-magnetic-microscopy images (B0
= 350 mT) for each crystal.(c) Simulated magnetic images
(χ = 3.4 × 10−4,
B0 = 350 mT)obtained with nanocrystal dimensions
roughly estimated from(a). (d) Line cuts of each nanocrystal (red, measured;
gray, simulated), from which the field pattern amplitude
ΔB is inferred.
Figure 5(d) shows histograms of the
fitted slopes, dΔB/dB0, for all
40 paramagnetic synthetic crystals and all 78 paramagnetic natural crystals. The
synthetic nanocrystals have a slightly smaller slope (mean 5.5, median 4.3
μT/T) than natural hemozoin (mean 8.1,
median 7.2 μT/T), while the standard
deviation is similar (6.2 and 8.0 μT/T,
respectively). This is likely due to a small difference in their size distributions
(see Appendix C and Fig. 8).
FIG. 8.
Size comparison of natural and synthetic hemozoin crystals. (a) SEM
image of synthetic hemozoin crystals dispersed on a diamond substrate. (b)
Histogram of crystal area for natural and synthetic hemozoin crystals, as
determined from SEM images in Figs.
7(a)–7(c) and 8(a).
OUTLOOK AND CONCLUSION
Our results demonstrate the capability of diamond magnetic microscopy to
simultaneously measure the magnetic properties of numerous individual biocrystals.
Whereas bulk measurements yield ensemble-average properties, diamond magnetic
microscopy can measure the distribution of nanocrystal susceptibilities, extract
information about each crystal’s dimensions and orientation, and
differentiate paramagnetic hemozoin from superparamagnetic nanoparticles. This
brings up the intriguing possibility of using this platform to monitor the formation
dynamics of individual hemozoin nanocrystals in living cells without the use of
extrinsic contrast agents.To assess the feasibility of performing magnetic imaging of hemozoin inside
cells, we estimate a typical hemozoin crystal volume is V = 0.04
μm3, on the basis of the median area found
from SEM images (0.2 μm2) and an assumed
thickness of 0.2 μm. We assume the hemozoin crystal forms in
a digestive vacuole within a Plasmodium-infected red blood cell
(typical thickness 2 μm [13]) such that it is located 2 μm from the
diamond surface. Such a crystal with susceptibility χ = 3.4
× 10−4 under an applied field
B0 = 350 mT would produce a magnetic pattern
amplitude at the diamond surface (z = 2 μm)
of ΔB = 0.057 μT [Eq. (2)]. This field shift would be detectable
with a signal-to-noise ratio of one after ~ 10 min of averaging using the
present diamond sensor with 390 × 390 nm2 detection pixels (see
Sec. II). However, the 200-nm NV layer
currently used is optimized for negligible diamond-hemozoin separation. If the
separation is ~ 2 μm, an NV layer of 1
μm would be more optimal, leading to a signal-to-noise
ratio of one after approximately 2 min. If a higher magnetic field is used (already
realized for nanoscale NV magnetometry [45,46]), a signal-to-noise ratio
of one should be obtained for B0 = 3 T after ~
1.6 s of signal averaging.This sensitivity would be suffcient to monitor the formation dynamics [47] of individual hemozoin nanocrystals on
minute-to-hour timescales. It could enable monitoring of crystal position and
orientation throughout the parasite life cycle under different conditions, including
the influence of antimalarial drugs. However, the movement of red blood cells would
need to be constrained such that crystals remain close to the diamond surface. This
may be accomplished by promotion of cell adhesion [48] or sedimentation [49],
confinement of cells within microstructures [36,50], and/or increase of the
viscosity of the surrounding medium [51-53]. If the platform is
simplified and miniaturized, it may also find application as a label-free malaria
diagnostic tool with sensitivity rivaling the current staining or microscopy
standard [18]. Our platform can also be used
to study paramagnetic substances other than hemozoin. Figure 11 shows diamond-magnetic-microscopy images of the
pharmacological agent hemin.
FIG. 11.
Magnetic imaging of hemin crystals. (a) Bright field transmission image
of hemin crystals. (b) Corresponding diamond-magnetic-microscopy image
(B0 = 186 mT). The inplane component of the
applied field is labeled with an arrow. An out-of-plane component of similar
magnitude is also present. Smaller particles are synthetic hemozoin crystals
that are dispersed along with hemin crystals.
In summary, we use diamond magnetic micro-scopy to characterize the
distribution of magnetic properties of synthetic and natural hemozoin samples at the
individual nanocrystal level. More than 95% of the nanocrystals exhibit paramagnetic
behavior, with magnetic field patterns well described by a magnetostatic model using
a volume susceptibility χ = 3.4 ×
10−4. Five of the 123 nanocrystals studied exhibit anomalously
large magnetization that saturates at fields above approximately 0.1 T, suggesting
superparamagnetism. Further work is needed to determine the composition and
structure of these outlier nanoparticles. With improvements in the experimental
setup, diamond magnetic microscopy should be capable of imaging hemozoin formation
dynamics in living cells, with implications for malaria diagnosis and drug
development.
TABLE I.
Methods for label-free imaging of individual hemozoin crystals.