Fluctuations in a crystalline monolayer on the surface of water
Kats E.I., Lajzerowicz J.
The structure factor of a crystalline monolayer on the surface of a liquid is calculated. It is shown that the finite rigidity of the monolayer remains in the main approximation the power-law profile of quasi-Bragg peaks typical for 2d-systems but leads to the reduction of the X-ray scattering intensity. It is found that this effective Debye-WaUer factor has very strong dependence on the length (h) of chains constructing the monolayer. Namelly it is proportional to exp(—H3/£a2), where £ is a chain persistent length and α is a characteristic atomic scale.