Shell-isolated nanoparticleenhanced Raman spectroscopy: Insight from COMSOL simulations

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Shell-isolated nanoparticleenhanced Raman spectroscopy: Insight from COMSOL simulations Song-Yuan Ding, Jun Yi, En-Ming You, and Zhong-Qun Tian 2016-11-03, Shanghai Excerpt from the Proceedings of the 2016 COMSOL Conference in Shanghai

Outline Principle of surface-enhanced Raman spectroscopy for surface analysis of materials Features of hybrid structure with gold nanoparticle aggregates electromagnetically coupled with a flat metal surface Some tricks for the COMSOL simulation of nanooptics.

Everything is surface and interface Adhesion Wear and wetting Friction Catalysis Corrosion electrochemistry Handbook of surfaces and interfaces of materials; J. Surf. Interf. Mater. 1, 1-3 (2013). 3

The enhanced local field and induced dipole at ω 0 due to NPs First step (G 1 ) Second step (G 2 ) If there were no mutual excitation from m-nps system at ω R, no enhanced apparent Raman polarizability exist G 1~ E loc ω 0 /E 0 ω 0 2 G 2~ E loc ω R /E 0 ω R 2 Incident light at ω 0 Normal Raman SERS I SERS /I Raman = G 1 G 2 ~ E loc ω 0 /E 0 ω 0 4

a b Methods Nanostructures Discovery of SERS 1974 1977 1988 1991 1994 1997 2000 2003 2010, 11 2013, 14 1980 1985 1990 1995 2000 2005 2010 2015 c d e f Applied Materials Papers SERS-Active materials Overcoating materials Unperturbed materials High-active: Ag, Au, Cu, Z Li, Na, K, In, Al Ni, Co, Fe, Pt, Pd, Rh, Polymers GaAs, Si Weak-active: Pt, Fe, Co, Ni, Ru, Rh Pd Liquid crystals, carbon nanotube, geological materials, pigments and pottery SiO 2, Al 2 O 3, MnO 2, TiO 2 Graphene Graphene, Si, h-bn, etc. CdS, Ge, Si nanowire, BaTiO 3 nanorod bio-membrane, etc. ~ 500 ~ 1,600 ~ 5,300 ~ 25,000

1 st and 2 nd generation hotspots Materials are hard to be squeezed into hotspot in nanogap! Any new concept of hotspot for surface analysis of materials?

The 3 rd generation hotspots generated by hybrid structures with nanostructures and probe materials No. <G sub > G max,sub G max,np a-i 94 2.0*10 3 a-ii 1.3*10 3 4.3*10 4 b-i 1.5*10 6 1.4*10 7 b-ii 7.3*10 5 5.2*10 6 c-i 1.0*10 5 6.9*10 6 6.8*10 7 c-ii 1.0*10 6 9.0*10 7 7.2*10 7 d-i 1.7*10 4 8.4*10 5 6.6*10 6 d-ii 2.1*10 5 1.2*10 7 1.4*10 7 a(np) = 60 nm, t(sio 2 ) = 2 nm g(np-np) = 2 nm, g(np-sub) = 1 nm Ding, Yi, Li, et al, Nat. Rev. Mater. 2016, 1, 16021.

Fano-resonance Plasmon-enhanced Raman Scattering of nanospheres-flat Surface Systems? Norm E Surface Charge density at 650 nm Fano Resonance: Coupled dipole of Nanoparticles induce the imaginary dipole on the metal or dielectric surfaces, to form a magnetic-dipole-like mode. It is the plasmonic dark mode with less irradiative efficiency, but with strong near field.

SHINERS works on single crystal surfaces of different materials beyond Au, Ag, Cu metals 1.0 0.8 Au Cu Ni Ag Norm E Extinction(a.u.) 0.6 0.4 0.2 0.0 300 400 500 600 700 800 900 150 Point A, norme Wavelength (nm) Au Cu Ni Ag 150 Point B, norme Au Cu Ni Ag norme (V/m) 100 50 norme (V/m) 100 50 0 0 300 400 500 600 700 800 900 300 400 500 600 700 800 900 Wavelength (nm) Ding, Yi and Tian, Surf. Sci., 631 (2015) 73-80. Wavelength (nm)

SHINERS of Si-H 260nm 360nm 440nm 560nm 600nm 700nm (a) Si(111) treated with 98% H 2 SO 4 (b) treated with 30% HF solution, (c) treated with O 2 plasma Li et al, Nature 464, 392-395 (2010); Ding, Yi and Tian, Surf. Sci., 631 (2015) 73-80.

There is always a node line underneath a single particle on a flat metal surface 0 degree 11

75 degree, 12

PERS hot domain? Extinction Average Enhancement 800 Extinction 600 400 200 0 Average Enhancement 500 600 700 800 900 Wavelength (nm) 55nm AuNP, d(np-np) = 4 nm, d(np-ausurf)= 2 nm

PERS hot domain? Extinction Average Enhancement 4000 Extinction 3000 2000 1000 0 Average Enhancement 400 450 500 550 600 650 700 Wavelength (nm)

Hot domains created by AuNS 7 on a flat Au surface Extinction Average Enhancement 12000 10000 Extinction 8000 6000 4000 2000 0 Average Enhancement 500 550 600 650 700 750 800 Wavelength (nm)

16

Good directional receiving and emission of AuNPs-Au surfaces 165 150 135 120 105 90 75 60 45 30 15 4nm 8nm 12nm 16nm 20nm 24nm 165 150 135 120 105 90 75 60 45 30 15 4nm 8nm 12nm 16nm 20nm 24nm 180 0 180 ZX plane ZY plane 0 Extinction (a.u.) Extinction Average Intensity 1200 800 400 0 Average Intensity (V/m)^2 400 450 500 550 600 650 700 Wavelength(nm) 17

Conclusion COMSOL is very useful for the design of novel nanostructures for surface-enhanced Raman spectroscopies Care should be taken for evaluation of near-field on the surface of nanostructures Tricks on the simulation of a point dipolar source. 19