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Photothermal Heterodyne Imaging of Individual Nonfluorescent
Nanoclusters and Nanocrystals
Stephane Berciaud, Laurent Cognet, Gerhard A. Blab, and Brahim Lounis
Centre de Physique Moleculaire Optique et Hertzienne,
CNRS et Universite Bordeaux
Ayca Yalcin
11-17-05
Outline
• Motivation
• Previous Technique
• Method of Detection
• Results and Applications
• Conclusion
Using scattering properties
• Fluorescent molecules:
– Photobleaching short observation times
• Semiconductor nanoparticles:
– More stable, but blinking (On longer time scales (t>100
ns), a semiconductor nanocrystal presents a succession
of time intervals during which it emits light ("on-state") or
not ("off-state").
– Difficult to functionalize
Using absorptive properties
• Large absorption cross section
• Short time interval between successive absorption events
Metal nanoparticles
- excited near their plasmon resonance, large absorption cross section
(~8x10-14cm2 for a 5nm diameter particle)
- fast electron-phonon relaxation time (in the ps range).
- luminescence is extremely weak, almost all the absorbed energy is
converted into heat.
- temperature rise induced by the heating leads to a variation of the local
index of refraction.
PIC (Boyer et al.)
Heating beam modulated at high
frequency induces periodic phase
difference between two red
beams, which gives rise to
modulation of detected red
intensity.
5nm particles
Effect of scattering on
Photothermal Image
• 300nm latex spheres, 80nm/10nm gold spheres
– A: differential interference contrast
– B: photothermal (30kW/cm2)
– C: photothermal (1.5MW/cm2)
Photothermal Effect
• When a gold nanoparticle in a homogeneous medium is illuminated with an
intensity modulated laser beam, it behaves like a heat point source with a
heating power:
Pheat [1 Cost ]
Ω: modulation frequency
Pheat: the average absorbed laser power
• It generates a time-modulated index of refraction in the vicinity of the particle
with a spatiotemporal profile:
n Pheat r r Rth
n(r , t ) [1 Cos(t )e ]
T 4 r Rth
r: distance from particle Rth 2 C
n: index of refraction
Rth: characteristic length for heat diffusion n
K: thermal conductivity ~ 10 4 K 1
T
C: heat capacity per unit volume
Experimental Setup
SETUP
• (red) probe beam (720 nm, single frequency Ti:sapphire laser)
• (green) heating beam (532 nm, frequency doubled Nd:YAG laser) intensity
modulated at (100 kHz to 15 MHz) by an acousto-optic modulator.
• high aperture objective (100X, Zeiss, NA=1.4)
• power of the heating beam: from less than 1 μW to 3.5 mW at the objective.
Sample Preparation
• Samples prepared by spin coating a solution of gold
nanoparticles [diameter of 1.4, 2, 5, 10, 20, 33, or
75nm, diluted into a polyvinyl-alcohol (PVOH) matrix, 2%
mass] onto clean microscope coverslips.
• The dilution and spinning speed were chosen such that the
final density of spheres in the sample was less than 1 μm-2.
• Application of a silicon oil on the sample ensures
homogeneity of the heat diffusion.
• The size distribution of the nanospheres was checked by
transmission electron microscopy and was in agreement with
the manufacturer’s specification.
Some Results
• 3D representation of a photothermal
heterodyne image of gold aggregates of
67 atoms (1.4 nm diameter nanogold).
• Relatively small heating power (~3.5 mW)
and a remarkably large signal-to-noise
ratio (SNR > 10), shot noise limited.
• Confirmed that the peaks stem from single
particles by generating the histogram of the
signal height for 272 imaged peaks.
• Monomodal distribution with a width in
agreement with the spread in particle size.
Comparison with Theory
• In order to estimate the measured signal, theory of ‘‘scattering from a
fluctuating dielectric medium’’ is used to calculate the field scattered by the
modulated index profile.
• The beating between the reference and scattered fields leads to a beating
power S at the detector:
n Pheat 1
S n I inc Pref [ f () cos(t ) g () sin(t )]
T C
2
: geometry factor close to unity
Iinc: incident red intensity at the particle location
Pref: reference (backreflected) beam power
f, g: two dimensionless functions which depend on the modulation frequency
and the thermal diffusivity of the medium
Measured Signal vs. Frequency
• The variations o fκ(Ω)/Ω and gκ(Ω)/Ω for
κ/C=2x10-8m2/s.
• At low frequencies, Rth is larger than the
probe spot size (~λ/2) and fκ(Ω)/Ω is
preponderant.
• At high frequencies, Rth<< λ , gκ(Ω)/Ω
dominates and decreases as 1/ Ω.
• The magnitude of demodulated signal
delivered by the lock-in amplifier is
proportional to
1
S dem S (t ) 2 f () 2 g () 2
t
• The frequency dependence of this signal
measured on single particles (5nm) is
shown.
Measured Signal vs. Heating Power
• Single 2nm gold nanoparticle, σ~5x10-15cm2
@ 532 nm, Pheat=10nW for 2MW/cm2
illumination.
• Pinc=70mW, Ω/2π =800kHz, Pref=100μW
Calculated Sdem=5nW.
Measured: ~2nW.
• Linear dependence of the signal with heating
power. No saturation for increased
power, however, fluctuations in the signal
amplitude and eventually irreversible damage
on the particle.
Application
• Size dependence of absorption
cross section of gold
nanoparticles @ 532nm with
diameter 1.4-75 nm.
• For each sample, histogram of
signal amplitudes is generated.
• Histograms displayed bimodal
distributions, the mean of each
population was measured, and
size dependence of the
absorption cross section
normalized to that of 10 nm
particles is obtained.
Luminescence vs. Photothermal
• Luminescent semiconductor nanocrystals or fluorescent molecules have radiative relaxation
times in ns range, difficult to detect by absorption.
• At high excitation intensities, efficient nonradiative relaxation pathways appear.
• Fluorescent image of CdSe/ZnS quantum dots (peak emission at 640 nm) excited by the
heating beam at 0.1 kW/cm2, blinking behavior visible. Photothermal heterodyne image at
5kW/cm2 where quantum dots are no longer luminescent.
• Two images correlate well, ensuring spots are individual quantum dots (>90% of the
fluorescent spots correlate with a photothermal spot). No blinking behavior, initially non-
fluorescent quantum dots are now detected.
Biological Applications
• In the current configuration, a 5nm gold nanoparticle can be
detected with a SNR>100 at a heating power of 1mW. At this
power, a local temperature increase of 4K is estimated in
aqueous solutions.
• As the temperature reduces as the inverse of distance, and
most microscopy applications in biosciences do not require
such a high SNR, imaging is possible by inducing a local
heating of far less than 1K above the average temperature in
the sample.
Conclusion
• Advantages of photothermal heterodyne detection
– no photobleaching or blinking
– Immune to background effects
• SNR>10 for 1.4nm gold particles, first detection
• As any far-field optical technique, it has wavelength limited
resolution
– combine with near-field optical techniques sensitivity+resolution
• Can apply to many diffusion and colocalization problems in
physical chemistry and material science and to track labeled
biomolecules in cells.
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