_ Lindemann's change structure section in electrical nanostructures 

Description of Lindemann's change (change structure) in nanostructures Nano Structure to achieve new nanoelectronic devices and accessories 

Researcher  and author: Dr.   (   Afshin Rashid)



Note: All the atoms in  Nano Structures  at any temperature allocate a certain amount of energy due to their fluctuations. The amplitude of this oscillation is not the same in all atoms  of nanostructures   . Moreover, the surface atoms have a larger range of oscillation due to the greater spatial freedom they have. In this way, the strange behavior of solids in reducing their melting temperature can be explained.  

When the average range of atomic vibrations reaches  a certain coefficient of the constant value of the network of  nanostructures  , these vibrations can no longer increase without damaging and destroying  the network of nanoparticles. Therefore, by increasing the average amplitude of vibrations to larger values,  the nanostructures  are removed from the crystal lattice and melt.  Surface atoms have higher average fluctuations and if the number of surface atoms increases, they can  have a clear effect on the average range of fluctuations of all atoms of the material. Therefore, by shrinking the dimensions  of nanostructures  until the ratio of the number of atoms on the surface to  the number of atoms in the volume reaches a significant value, the average range of nanomolecular oscillations will increase significantly; In these conditions, with the increase of  the surface instability of the material, the melting temperature of nano Nano Structures Nano Structure   will decrease.



In the change (structure) of  nano structures, Nano Structure   is one of the natural thermal phenomena caused by the shrinking of the material structure, the thermal instability of nanoparticles. As you know, heat has energy E, which 03- its energy amount is proportional to the temperature of the environment. This energy is equal to KBT.  In this relationship, KB is Boltermann's constant and a constant value equal to and T is the temperature in Kelvin. Therefore, when  the nanostructures  are placed in different environments, due to heat, the electrons are given energy (0.33*0.01 JK). Now consider a property of a particle that generally depends on (the volume of the nanoparticle V). The energy of this feature is U and a function of V. When the volume is small enough, so that KBT is greater than U, then the condition will be thermally unstable.The important feature of all nanostructures is summarized in the fact that the number of atoms (surface) in them is more than the number of atoms (volume). This ratio increases with decreasing size (nanoparticle). Therefore, the size of the nanoparticle is considered its most important feature. The shapes and sizes of nanostructures are naturally determined based on their composition and formation conditions. The characteristics  of the nanostructures, in turn,  determine the originality of the characteristics of the nanostructures and their possible fields of operation. The range of 1 to 1000nm is introduced as the range of nanostructures, the  important feature of nanostructures is to control the processes of the organization itself. The range of nanostructure activity change depends on the nature and shape of the nanostructure. However  , if the energy of the nanoparticle field is comparable to the energy of electromagnetic radiation and if within a certain range The wavelength of the chemical reactions in the irradiated materials will cause significant changes, the activity of nanoparticles  up to 100 nm will be significant.



Conclusion : 

All the atoms in the nanomaterial at any temperature allocate a certain amount of energy due to their fluctuations. The amplitude of this oscillation is not the same in all atoms of the nanomaterial. Moreover, the surface atoms have a larger range of oscillation due to the greater spatial freedom they have. In this way, the strange behavior of solids in reducing their melting temperature can be explained. 

Researcher  and author: Dr.   (   Afshin Rashid)

Specialized doctorate in nano-microelectronics