Theories of Birefringence Induced in Liquids by Ultrasonic Waves

Some liquids and solutions become doubly refracting and behave as uniaxial crystals when traversed by acoustic waves of high frequency. In many aspects the induced birefringence is analogous to birefringence due to flow. Theories for this behavior are presented and discussed in detail. For liquids and solutions of flexible macromolecules the birefringence is proportional to the square root of the acoustic intensity and to the frequency of the wave, but for colloidal solutions it varies directly as the intensity and is independent of frequency. It is shown that from measurements of the birefringence, values of relaxation times and diffusion constants can be obtained. The method has a number of advantages over flow birefringence studies and in common with the latter does not depend on the possession of a permanent dipole moment by the molecules.

[1]  H. A. Stuart,et al.  Zur Theorie der Strömungsdoppelbrechung von Kolloiden und großen Molekülen in Lösung , 1939 .

[2]  W. Kuhn,et al.  Beziehungen zwischen elastischen Konstanten und Dehnungsdoppelbrechung hochelastischer Stoffe , 1942 .

[3]  K. Söllner,et al.  The action of ultrasonic waves in suspensions , 1936 .

[4]  M. De Handbuch der Physik , 1957 .

[5]  R. Gans Zur Theorie der Brownschen Molekularbewegung , 1928 .

[6]  R. Cerf Effet Maxwell dans les solutions de macromolécules : comportement de l'angle d'extinction aux gradients de vitesse très élevés , 1954 .

[7]  L. V. King On the Acoustic Radiation Pressure on Circular Discs: Inertia and Diffraction Corrections , 1935 .

[8]  H. Jerrard,et al.  Birefringence induced by Acoustic Waves in Polystyrene Solutions , 1962, Nature.

[9]  R. Cerf Recherches théoriques et expérimentales sur l'effet Maxwell des solutions de macromolécules déformables: I. — Théorie de l'effet maxwell des suspensions de sphères élastiques1 , 1951 .

[10]  K. S. Krishnan,et al.  LXXIX. A theory of the birefringence induced by flow in liquids , 1928 .

[11]  M. Born Elektronentheorie des natürlichen optischen Drehungsvermögens isotroper und anisotroper Flüssigkeiten , 1918 .

[12]  H. Jerrard Theories Of Streaming Double Refraction , 1959 .

[13]  Anton Peterlin La biréfringence acoustique des liquides purs , 1950 .

[14]  R. Pohlman Über die richtende Wirkung des Schallfeldes auf Suspensionen nicht kugelförmiger Teilchen , 1937 .

[15]  G. B. Jeffery The motion of ellipsoidal particles immersed in a viscous fluid , 1922 .

[16]  J. Frankel Kinetic theory of liquids , 1946 .

[17]  F. Perrin,et al.  Mouvement brownien d'un ellipsoide - I. Dispersion diélectrique pour des molécules ellipsoidales , 1934 .

[18]  P. Langevin Sur les biréfringences électrique et magnétique , 1910 .