Turbulent pattern in the 1,4-cyclohexanedione Belousov–Zhabotinsky reaction

2020 ◽  
Vol 22 (48) ◽  
pp. 28213-28221
Author(s):  
Suparinthon Anupong ◽  
Igor Schreiber ◽  
On-Uma Kheowan
Keyword(s):  
Fourier Transform ◽  
Two Dimensional ◽  
Bz Reaction ◽  
Belousov Zhabotinsky Reaction ◽  
Chemical Turbulence

Chemical turbulence was observed experimentally in the 1,4-cyclohexanedione Belousov–Zhabotinsky (CHD-BZ) reaction. Turbulence is characterized by a two-dimensional Fourier transform. Mechanism of the onset of the turbulence is proposed.

Hydrodynamical Effects of Chemical Waves in Quasi-Two-Dimensional Solution in Belousov–Zhabotinsky Reaction

1997 ◽  
Vol 07 (05) ◽  
pp. 989-996 ◽  
Author(s):  
Osamu Inomoto ◽  
Shoichi Kai ◽  
Takayuki Ariyoshi ◽  
Shoji Inanaga
Keyword(s):  
Surface Deformation ◽  
Hydrodynamic Instability ◽  
Two Dimensional ◽  
Dimensional Solution ◽  
Bz Reaction ◽  
Material Inhomogeneity ◽  
Shallow Layer ◽  
Large Velocity ◽  
Chemical Waves ◽  
Belousov Zhabotinsky Reaction

The evidence was studied that the chemical wave accompanied by hydrodynamic instability showed some noteworthy characteristics in a quasi-two-dimensional shallow layer of the unstirred excitable Belousov–Zhabotinsky (BZ) reaction. This chemical wave has been known as the "Big Wave" or the "Hydrochemical Soliton", which showed soliton-like properties. We clarified properties of the wave using an optical technique (Mach–Zehnder interferometry). The Big Wave acceleratingly propagated with large velocity, and simultaneously caused flow in the bulk of the solution as well as large surface deformation (~ 5μm). We proposed that the main mechanism of this wave was chemically coupled Marangoni instability, which was induced by the gradient of surface tension due to the thermal and/or material inhomogeneity in the BZ solution.

Comparison of Calculated and Recorded Electron Energy-Loss Spectra of Aluminium and Carbon

1990 ◽  
Vol 48 (2) ◽  
pp. 64-65
Author(s):  
L. Reimer ◽  
R. Oelgeklaus
Keyword(s):  
Fourier Transform ◽  
Energy Loss ◽  
Electron Energy ◽  
Rotational Symmetry ◽  
Mean Free Path ◽  
Single Scattering ◽  
Specimen Thickness ◽  
Two Dimensional ◽  
Image Position ◽  
Electron Energy Loss

Quantitative electron energy-loss spectroscopy (EELS) needs a correction for the limited collection aperture α and a deconvolution of recorded spectra for eliminating the influence of multiple inelastic scattering. Reversely, it is of interest to calculate the influence of multiple scattering on EELS. The distribution f(w,θ,z) of scattered electrons as a function of energy loss w, scattering angle θ and reduced specimen thickness z=t/Λ (Λ=total mean-free-path) can either be recorded by angular-resolved EELS or calculated by a convolution of a normalized single-scattering function ϕ(w,θ). For rotational symmetry in angle (amorphous or polycrystalline specimens) this can be realised by the following sequence of operations :(1)where the two-dimensional distribution in angle is reduced to a one-dimensional function by a projection P, T is a two-dimensional Fourier transform in angle θ and energy loss w and the exponent -1 indicates a deprojection and inverse Fourier transform, respectively.

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