The science of soap films and soap bubbles by Cyril Isenberg PDF

By Cyril Isenberg

ISBN-10: 0486269604

ISBN-13: 9780486269603

Remarkable presentation of the molecular and macroscopic homes of cleaning soap movies and bubbles, together with many demonstrations that may be effectively played with uncomplicated loved ones fabrics. Emphasis on software of cleaning soap motion pictures to resolution of actual difficulties, e.g. the toll road and minimal quarter difficulties. Over one hundred twenty black-and-white illustrations, forty-one colour photographs.

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Extra resources for The science of soap films and soap bubbles

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Assuming that each chain exists in a tube, formed by restrictions of the bonds, the complex multi-chain dynamic problem was efficiently solved for the separate chain as the onedimensional diffusion problem. The solution is described by the formula L 2 = 2D 1t, where L is the curvilinear diffusion length of the chain along the axis of its tube, D 1 ~1/M is the one-dimensional diffusion coefficient. The reptation time depends on the molecular mass as τ d ~ M 3 . During this period, the mass centre travels the distance R g (the radius of gyration of the macromolecule).

4 J/m 2 was at least an order of magnitude greater than the work of adhesion of the PS surfaces. Similar values G = 8–9 J/m2 were obtained for the surfaces of polydisperse PS and monodisperse PS with a different molecular mass. This fact indicates that the process of healing of the interfacial surfaces in the PS does not depend on its polydispersion. These observations indicate that the increase of G on the PS–PS surfaces in the investigated temperature range (below T g) is controlled by the diffusion of segments of chains, although the large-scale molecular mobility should be suppressed in these conditions.

The physics of rubber elasticity, Oxford University Press, 1949. , Vysokomolek. Soed. A, 2009, V. 51, No. 10, P. 1783. , Chemistry and physics of polymers, Moscow, Kolos 2007. , Vysokomolek. Soed. A. 2011, V. 53, No. 10, P. 871-898. , Vysokomolek. Soed. A, 2007, V. 49, No. 7, P. 1224-1238. , Vysokomolek. Soed. A. 2009, V. 51, No. 4, P. 598-609. Development of the interfacial surface 14. 15. 16. 17. 18. 19. 20. 21. 22. 23. 24. 25. 26. 27. 28. 29. 30. 31. 32. 33. 34. 35. 36. 37. 38. 39. 40. 41.

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The science of soap films and soap bubbles by Cyril Isenberg

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