Evaluating nanogaps in Ag and Au nanoparticle clusters for SERS applications using COMSOL Multiphysics

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Evaluating nanogaps in Ag and Au nanoparticle clusters for SERS applications using COMSOL Multiphysics Ramesh Asapu 1, Radu-George Ciocarlan 2, Nathalie Claes 3, Natan Blommaerts 1, Sara Bals 3, Pegie Cool 2, Siegfried Denys 1, Silvia Leanerts 1 and Sammy Verbruggen 1 1 Department of Bioscience Engineering, DuEL, University of Antwerp, Belgium 2 Department of Chemistry, LADCA, University of Antwerp, Belgium 3 Department of Physics, EMAT, University of Antwerp, Belgium

Energy Introduction: Raman Spectroscopy Inelastic scattering of incident monochromatic light through interactions of photons with molecular vibrations and excitations. (similar to IR: absorption of light) Chemical identification and structural finger printing of molecules. Virtual energy states Vibrational energy states Rayleigh scattering (elastic) Stokes shift Anti-Stokes shift Raman scattering (inelastic) E 0 *Nature Protocols 11, 664 687 (2016) doi:10.1038/nprot.2016.036 Constraints: Raman scattering is weak phenomenon, the number of photons which are Raman scattered is quite small. 2

Introduction: Surface-Enhanced Raman Spectroscopy (SERS) Raman effect: based on interaction between electron cloud of sample and external electric field produced by incident monochromatic light. Interaction of incident monochromatic light with noble metals (Ag, Au, Pt) and adsorbed probe molecule give rise to enhanced Raman intensity signal * EM or near-field enhancement dependent * log E/E 0 2 0 2 Intense near electric fields Dielectric environment EF exp = I SERS NSERS I RS NRS EF calc = E E 0 4 N number of molecules probed/illuminated by the laser spot, I intensity RS, SERS : Raman spectra and Surface-Enhanced Raman spectra *Darya Radziuk et al. Phys. Chem. Chem. Phys., 2015, 17, 21072 * Chemical Physics Letters, 26, 163-166 (1974), 2 Journal of Electroanal. Chem. and Interface Electrochem., 84, 1-20 (1977), * J. Am. Chem Soc., 99, 5215-5217 (1977). 3

COMSOL near-electric field simulations: How and Why? Wave Optics physics in wavelength domain study Maxwell s Electromagnetic wave equations are solved for scattered fields 1 µ r E sca K 0 2 (Ɛ r j σ ωɛ 0 ) E sca = 0 where E sca scattered electric field K 0 - wavenumber in free space µ r - relative permeability of medium Ɛ r permittivity of medium Enhancement is due to both incident and scattered fields. EM or field enhancement E/E 0 is dependent: Inter-particle distance & probe molecule distance dependence: nanogap laser excitation wavelength NP shape and size 4

Shell Thickness (nm) Nanogap control via LBL (Layer-by-Layer) method using charged polyelectrolytes Ag NP One cycle each of Polyelectrolyte 20 min stirring under dark Centrifuge to remove excess polymer Redispersed in Milli-Q water Centrifuge Final washing step polycation and polyanion = One Bilayer Ag NP Increase with number of layers 5 4 R² = 0.99 3 2 1 0 0 5 10 Number of Polyelectrolyte Layers 5

Hotspots in the nanoparticle clusters: Quantification for SERS Raman Microscope Wet chemical methods no control over alignment of nanoparticles: single, dimer, trimer, tetramer clusters Simplification of the models and EF calculations by assuming dimers representing nanocluster systems. 6

SERS hot spots: gap/distance dependence theoretical analysis Study with core-shell nanoparticles: Using polymer as the spacer layer for increasing the gap/distance of interface between nanoparticles 7

Experimental vs Theoretical (COMSOL) EF comparison Validation of COMSOL EF calculations for Au and Ag silver nano-dimers with experimental SERS signal. Silver NPs Gold NPs

SERS: Plasmonic nanoparticle size dependence Gold nanoparticles: EF vs particle size dia. silver nanoparticles: EF vs particle size dia. COMSOL EF simulations: crucial information λ spr (max) Essential to check the overlapping of plasmon resonance with Raman laser excitation wavelength Achieve maximum possible enhancement factor 9

Norm Absorption/scattering Efficiency x 1000000 Maximum attainable EF: Absorption vs scattering by plasmonic nanoparticles Maximum EF very high enhanced Raman signal single molecule detection(parts per trillion levels) The plasmon resonance should be slightly red-shifted from Raman laser wavelength to maximize signal * Mie calculations in COMSOL by implementing Mie equations to plot absorption and scattering efficiencies: W abs = Q loss dv, W sca = S NP A sca C abs = ewfd. Q h E 2 0 2 Z0_const 1.2 1 0.8 0.6 0.4 C sca =. nda (n x ewfd. relpoav x +n y ewfd. relpoav y + n z ewfd. relpoav z ) E 2 0 2 Z0_const Mie calculations from COMSOL: Gold nanoparticle of dia. 20 nm 530 nm 544 nm 540 nm Absorption Scattering Enhancement Factor 9 8 7 6 5 4 3 Enhancement Factor 0.2 2 1 0 0 350 400 450 500 550 600 650 700 750 800 Wavelength (nm) 10 *McFarland, A.D. et. Al., J Phys Chem B (2005), 109(22), 11279

Conclusion: FEM simulations can provide crucial insights: from synthesis, design and application perspective Study the effect of medium and design of nanoparticle plasmonic system for SERS applications COMSOL Multiphysics, a vital mechanistic tool : plasmonic nanoparticles viability for hotspot applications Thanks for your attention