The properties of the elements exhibit trends or periodicity. These trends can be predicted using the periodic table and can be explained and understood by analyzing the electron con gurations of the elements. The text Periodic Properties provides a concise overview of the main principles and reactions of inorganic chemistry, carefully structured around the periodic table. The periodic table of elementary particles based on string theory has been discussed in rst chapter. Second chapter presents a novel physical interpretation of the state of matter of the quark-gluon as the most fundamental building blocks in nature. The objective of third chapter is to condense several sparse empirical complex rules into one model, which can be used to probe the quantum structure embedded in the periodic properties (PP) of the periodic table (PT). In fourth chapter, we present an analysis of the internal constitution of the “short” and “long” forms of the periodic table of elements. Fifth chapter discusses the electronegativity and the global hardness which are periodic properties of atoms. Sixth chapter deals with theoretical calculation of absolute radii of atoms and ions. A detailed comparative study of the crystal radii vis-à-vis the theoretical radii has been reported in seventh chapter. Some properties of weighted pseudo almost periodic functions have been investigated in eighth chapter. Ninth chapter posits the discovery of the new elementary particles from the energy spectrum for the knees-ankles- toe of cosmic rays. Using the transfer matrix method approach (TMM), tenth chapter determines the optical properties of quasi-periodic symmetric one-dimensional photonic systems. In eleventh chapter, the reducibility of quasi-periodic systems with strong parametric excitation has been studied. Twelfth chapter presents a modeling and an analysis of one-dimensional periodic structure composed of a cascade connection of N cells considered as in nite. In thirteenth chapter, some properties for single–wall carbon nanotubes (SWNTs) have been calculated with the aim of discussing periodic table (PT) format. Periodic table of local anaesthetics (procaine analogues) has been discussed in fourteenth chapter. Positive periodic solution for a two-species predator-prey system has been presented in fteenth chapter. Periodic properties of elements have been discussed in sixteenth chapter. Last chapter deals with the electronic structure of the atom.
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