Charge renormalization, osmotic pressure, and bulk modulus of colloidal crystals: Theory

1984 ◽  
Vol 80 (11) ◽  
pp. 5776-5781 ◽  
Author(s):  
S. Alexander ◽  
P. M. Chaikin ◽  
P. Grant ◽  
G. J. Morales ◽  
P. Pincus ◽  
...  
Keyword(s):  
Bulk Modulus ◽  
Osmotic Pressure ◽  
Colloidal Crystals ◽  
Charge Renormalization

Equation of State and Structure of Electrostatic Colloidal Crystals: Osmotic Pressure and Scattering Study

1997 ◽  
Vol 7 (4) ◽  
pp. 603-626 ◽  
Author(s):  
V. Reus ◽  
L. Belloni ◽  
T. Zemb ◽  
N. Lutterbach ◽  
H. Versmold
Keyword(s):  
Equation Of State ◽  
Osmotic Pressure ◽  
Colloidal Crystals ◽  
Scattering Study

scholarly journals THE SWELLING OF ISOELECTRIC GELATIN IN WATER

1927 ◽  
Vol 10 (6) ◽  
pp. 893-904 ◽  
Author(s):  
John H. Northrop
Keyword(s):  
Bulk Modulus ◽  
Osmotic Pressure ◽  
Elastic Strain ◽  
Elastic Force ◽  
Soluble Substance ◽  
Insoluble Material ◽  
Soluble Material ◽  
Initial Process

The swelling of isoelectric gelatin in water has been found to be in agreement with the following assumptions. Gelatin consists of a network of insoluble material containing a solution of a more soluble substance. Water therefore enters owing to the osmotic pressure of the soluble material and thereby puts the network under elastic strain. The process continues until the elastic force is equal to the osmotic pressure. If the temperature is raised or the blocks of gelatin remain swollen over a period of time, the network loses its elasticity and more water enters. In large blocks this secondary swelling overlaps the initial process and so no maximum can be observed. The swelling of small blocks or films of isoelectric gelatin containing from .14 to .4 gm. of dry gelatin per gm. of water is defined by the equation See PDF for Equation in which Ke = the bulk modulus See PDF for Equation. Ve = gm. water per gm. gelatin at equilibrium; Vf = gm. water per gm. gelatin when the gelatin solidified.

scholarly journals THE SWELLING AND OSMOTIC PRESSURE OF GELATIN IN SALT SOLUTIONS

1926 ◽  
Vol 8 (4) ◽  
pp. 317-337 ◽  
Author(s):  
John H. Northrop ◽  
M. Kunitz
Keyword(s):  
Bulk Modulus ◽  
Osmotic Pressure ◽  
Salt Solution ◽  
Modulus Of Elasticity ◽  
Elastic Limit ◽  
Ion Concentration ◽  
Salt Solutions ◽  
Original Volume ◽  
Expected Result ◽  
Do So

1. The swelling and the osmotic pressure of gelatin at pH 4.7 have been measured in the presence of a number of salts. 2. The effect of the salts on the swelling is closely paralleled by the effect on the osmotic pressure, and the bulk modulus of the gelatin particles calculated from these figures is constant up to an increase in volume of about 800 per cent. As soon as any of the salts increase the swelling beyond this point, the bulk. modulus decreases. This is interpreted as showing that the elastic limit has been exceeded. 3. Gelatin swollen in acid returns to its original volume after removal of the acid, while gelatin swollen in salt solution does not do so. This is the expected result if, as stated above, the elastic limit had been exceeded in the salt solution. 4. The modulus of elasticity of gelatin swollen in salt solutions varies in the same way as the bulk modulus calculated from the osmotic pressure and the swelling. 5. The increase in osmotic pressure caused by the salt is reversible on removal of the salt. 6. The observed osmotic pressure is much greater than the osmotic pressure calculated from the Donnan equilibrium except in the case of AlCl3, where the calculated and observed pressures agree quite closely. 7. The increase in swelling in salt solutions is due to an increase in osmotic pressure. This increase is probably due to a change in the osmotic pressure of the gelatin itself rather than to a difference in ion concentration.

The elasto-hydrodynamic equations of the colloidal crystals

1988 ◽  
Vol 49 (7) ◽  
pp. 1119-1125 ◽  
Author(s):  
M. Jorand ◽  
E. Dubois-Violette ◽  
B. Pansu ◽  
F. Rothen
Keyword(s):  
Colloidal Crystals ◽  
Hydrodynamic Equations

THIN COLLOIDAL CRYSTALS : STRUCTURES AND OPTICAL PROPERTIES

1985 ◽  
Vol 46 (C3) ◽  
pp. C3-323-C3-324
Author(s):  
B. Pansu ◽  
P. Pieraski
Keyword(s):  
Optical Properties ◽  
Colloidal Crystals

SHEAR ELASTICITY AND VISCOSITY IN COLLOIDAL CRYSTALS AND LIQUIDS

1985 ◽  
Vol 46 (C3) ◽  
pp. C3-269-C3-280 ◽  
Author(s):  
H. M. Lindsay ◽  
P. M. Chaikin
Keyword(s):  
Colloidal Crystals ◽  
Shear Elasticity
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