Thickness and wave and surface J.-M Friedt 1, L.A. Francis 2, S. Ballandras 1 1 FEMTO-ST/LPMO (Besançon, France), 2 IMEC MCP/TOP (Leuven, Belgium) slides available at http://jmfriedt.free.fr 16 septembre 25 1 / 1
Direct detection biosensor Aim : detect DNA hybridation, antibody/antigen interaction without labeling (fluorescence, radiolabeling...) in-situ measurement (not in dry state) : microfluidics... time resolution 1 s for kinetics measurements detect mass bound to the surface : acoustic method (QCM, SAW) detect optical index change (ellipsometry, SPR) detect surface topography change due to adsorption (SPM) Acoustic methods beyond Sauerbrey : density, thickness, viscosity Optical methods : thickness, optical index Scanning probe microscopies : molecule conformation, density of molecules, thickness Modelling is required for extracting quantitative information on the physical properties of the adsorbed layer 2 / 1
Various solvent concentrations From QCM-D measurement we know that collagen and fibrinogen provide challenging properties : S-layer, IgG : behaves as a rigidly bound mass (Sauerbrey) collagen : displays a behaviour consistent with a predominantly viscous interaction fibrinogen : intermediate situation... Analyte (bulk f n/ n f n/n D ( 1 6 ) concentration, µg/ml) (Hz) QCM (Hz) QCM QCM S-layer NO 45=9 3-5 CTAB NO 8=16.2-.5 collagen (3µg/ml) 1 NO 1 collagen (3µg/ml) 12 NO >12 fibrinogen (46µg/ml) 11±5 55±5 111 4-1 fibrinogen (46µg/ml) NO 1=17 8-1 J.-M. Friedt et al., J. Appl. Phys. 95 (4) 1677-168 (24) C. Zhou et al., Langmuir 2 (14) 587-5878 (24) 3 / 1
SAW/SPR combination Objective : identify physical properties of protein films. Acoustic methods are sensitive to layer thickness, density and viscosity, but provide only insertion loss and phase variations. Combine with optical method : optical index and thickness. Assume that density and optical index vary linearly with solvent content 3 unknowns and 3 measurements. Pt CE Cu RE PDMS or SU8+glass rotating mirror: +/ 2.5 o Au WE ST quartz substrate incoming laser (67 nm) Al IDT glass prism reflected laser 67 nm laser diode rough optical allignement screw RF cables to network analyzer SAW linear CCD array + temperature sensor 4 / 1
Data collected with combined SAW/SPR Globular protein (IgG, BSA, S-layer), fibrilar protein (collagen, fibrinogen) and polymers (pnipam) adsorption have been investigated. Globular proteins display a mostly rigid behaviour pnipam displays a behaviour dependent on temperature 5 / 1
approaches (acoustics) Two complementary approches for modelling the acoustic data : transmission line model v L/2 L/2 T C G harmonic admittance computation based on the Blötekjaër-model extended to include the viscous contribution of a newtonian fluid (linear response) ( ( ) ) 2 T ij = P + jω 3 η ζ S kk δ ij + 2ωηS ij dr 6 / 1
predictions (acoustics : Blötekjaër) Parameters are : the layer thickness, its viscosity and density f (Hz).5 1 1.5 2 2.5 x 15 ρ=1.4 3 5 1 15 2 25 3 35 4 45 5 55 viscosity (cp) f (MHz).2.4.6.8.1.12.14 5 1 15 2 25 3 35 IL (db) 1.2 1.8.6.4.2 IL (db) 2 1.5 1.5 η=3. η=2.3 η=1.6 η=1. 5 1 15 2 25 3 35 4 45 5 55 viscosity (cp) 5 1 15 2 25 3 35 Varying the viscosity Varying the thickness An insertion loss drop of -6 db cannot be modelled by a newtonian fluid+rigid mass interactions. 7 / 1
predictions (acoustics : TLM) φ (degrees) IL (db) 1 2 3 2 4 6 8 1 12 14 16 18 layer thicknesss (nm) 4 3 2 1 2 4 6 8 1 12 14 16 18 layer thicknesss (nm) f (MHz) IL (db).2.4.6.8.1.12.14 2 4 6 8 1 12 14 16 18 2 1.5 1.5 dotted: ρ=1.4 solid: ρ=1.1 experimental value for 46 µg/ml fibrinogen adsorption δ 2 4 6 8 1 12 14 16 18 η=1. η=1.7 η=2.4 η=3.1 η=3.1 η=2.4 η=1.7 η=1. Transmission line model (η=[1, 1.5, 2, 3]) Blötekjaër (harmonic admittance computation) Here (left) we find a possible set of parameters for the fibrinogen data : a viscosity around 2.6 cp and a thickness around 22.4 nm assuming a density of 1.4. Additional work requires sweeping the density parameter to extract water content. 8 / 1
(SPR) 2D model of reflected intensity of a laser by a stack of planar interfaces : requires optical index of all layers at a given wavelength+incident angle 1 9 x=1 x=.5 x=.7 x=.4 x=.3 1 9 x=.1 x=.8 x=.7 <θ>=7.2297 o x=.6 8 7 x=.2 8 7 x=.5 SPR θ (m o ) 6 5 4 3 x=.1 SPR θ (m o ) 6 5 4 3 x=.4 x=.3 x=.2 2 x=.5 2 x=.1 1 1 x=. 5 1 15 2 25 x=. 5 1 15 2 25 3 35 Acoustic frequency shift+insertion loss and SPR angle shift density ρ, optical index n, viscosity and water content x assuming ρ = x ρ protein + (1 x) ρ water & n = x n protein + (1 x) n water with a thickness of 22.4 nm, SPR (755 m o ) tells us x.25 i.e. ρ 1.1 and iterate... 9 / 1
and perspectives measurement of thin film adsorption by acoustic and optical means Simultaneously monitor using both techniques the same area in liquid with time resolution Implementation of models for the predictions of SPR angle shift and acoustic frequency shift and insertion loss as a function of adsorbed layer properties Models are incomplete : cannot justify large insertion loss decrease upon collagen adsorption Possible extension : add Maxwellian liquid behaviour (complex : non-linear, delayed effects, incompatible with transmission line model) 1 / 1