Abstract
The concept of “modulated structure” can be defined in a general way as a new structure which consists of a periodic modulation of a parent structure. The modulation can be “commensurate” with the basic structure or “incommensurate”,a characteristic which will be evident from diffraction data. Two different kinds of modulated structures can be distinguished :
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The modulation can consist of the periodic repetition of “modules” separated by interfaces such as antiphase boundaries, discommensuration walls (DCW), crystallographic shear planes (CSP), inversion boundaries, stacking faults and twins or orientation variants. The interface can be conservative (eg. stacking faults) or non-conservative (eg. CSP) enabling through incorporation of these defects deviations from stoichiometric composition to be accommodated.
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A simple basic structure can be modulated by imposing a periodic deformation wave with a period which is larger than that of the basic structure. The average atom positions of the basic structure are then conserved.
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Van Landuyt, J., Van Tendeloo, G., Amelinckx, S. (1990). Electron Microscopy of Modulated Structures. In: Tolédano, JC. (eds) Geometry and Thermodynamics. NATO ASI Series, vol 229. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-3816-5_11
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