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Long Range Interactions beyond first neighbour
Intermolecular forces organizing complex fluids …Laboratory experiments for challenging predictive theories. 2. The equation state of colloids: Jean Perrin‘s living heritage
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Jean Perrin (1870-1942) Nobel prize 1926
"for his work on the discontinuous structure of matter, and especially for his discovery of sedimentation equilibrium".
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van’t Hoff Raoult equivalence
Independant of the « size » of the dissolved « molecules »: till...?
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The practical scales of osmotic pressure
They are expressed in diferent units depending on the different specialities using colloidal samples ! J. Wolfe, and G. Bryant (1984)
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Controlled humidity, membrane or capillary rise
H.R. = P/P0 = asolvant = P-P’ = s.g.h … or analytical tonometry or … industrial devices such as « DVS »
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… back to the van der Waals equation of state
And adding gravity ! Expecting a « colloidal atmosphere »: 6 km to micrometer scale jump ! Jean Perrin Nobel prize work « Les atomes »
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Is this possible with « macroscopic atoms »?
Sedimenation equilibrium of emulsions Compares kinetic energy during Brownan motion in the absence of any convection To known gravitational energy Jean Perrin Nobel price work (1908)
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The air and the colloid « atmosphere » :
Column of air equation : Column of colloids equation Jean Perrin « Les atomes »
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How to produce « macroscopic atoms »?
From cascade fractionated crystallisation (initial method) (or later Zsigismondy using monodisperse gold colloids) Jean Perrin « Les atomes »
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Measurement of radius and density of colloids:
Three methods for sizing : Measure in projection after adsorption (HCl 0.01M) Weight after weak adsorbtion Stokes law on « falling cloud » constant friction 6 p e a v = V(D-d) g Three methods for particle density determination : Picnometry : fill the same container/evaporate melt and determine density of melt add KBr till matching centrifuge Results: radius = 0.37 micrometre and D= 1.195 Jean Perrin « Les atomes »
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Observing macroscopic atoms sedimentation ?
Text here Jean Perrin « Les atomes »
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Observing macroscopic atoms sedimentation ?
Moving the objective Large aperture Inserting an iris Statistics with time… Produces the result : Jean Perrin « Les atomes »
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Observing macroscopic atoms sedimentation ?
Moving the objective Large aperture Inserting an iris Statistics with time… Produces the raw data : Jean Perrin « Les atomes »
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The colloid atmosphere above layered dense packing
Deviations are important ! Why ? N. Johnston and L G Howell : sedimentation equilibria of colloidal particles (1930)
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What happens with charged (Br-st) latex ?
Gravity negligible: No sedimentation Strong repulsion : distance between colloids can be accessed via USAXS in liquid phase or SLS colloidal crystal V. Reus, TH.Z and H. Versmold ( )
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Method for estabishing EOS
Combining USAXS and membrane osmosis references
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Experimental results fits fully to Posson-Boltzmann?
The osmotic pressure gives the number of »effective » charges, i.e. the number of counter-ions per latex in each Voronoi cell (titrable stuctural charge : 12000) V? Resu, ThZ and H. Versmold Equation of staet of charged latex suspensions( )
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What happens when multi-charged co-ions are added ?
A drastic reduction of the osmotic pressure ! V. Reus et al.: Fusion of colloidal crystals induced by monovalent and asymmetric salt: an osmotic pressure and USAXS (1999)
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What happens when salt is added in the reservoir?
A R eeductionof the osmotic pressure sicne screening length << interlatex distance V. Reus et al.: Fusion of colloidal crystals induced by monovalent and asymmetric salt: an osmotic pressure and USAXS (1999)
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What happens when multi-charged co-ions are added ?
A drastic reduction of the osmotic pressure ! V. Reus et al.: Fusion of colloidal crystals induced by monovalent and asymmetric salt: an osmotic pressure and USAXS (1999)
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General result of EOS determination of charged monodisperse bromosturence latex :
Mechanism: salt depletion from colloidal crystals is due to co-ion depletion and can reduce the stability (osmotic pressure) of a colloidal crystal even below micromolar concetration? Corrolario: Suspected Long range attractive elctrostatic potentials are an artefact due to slow relase of not cross-linked poly-ions
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What we have learnt : Measuring EOS is a way to test intensity and decay length of any type colloidal interaction As well as its dependance to chemical enviropnnment ( T, pH, solutes… even surfactants F. Evans and H. Wennerström : The colloidal domain:
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