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Showing posts from March, 2021

Reveling Nano big bang

 Revealing nano big bang:  Scientists observe the first milliseconds of crystal formation New study shows how stable materials have unstable beginnings  Date: March 25, 2021 Source: DOE/Lawrence Berkeley National Laboratory Summary: Scientists recruited a world-leading microscope to capture atomic-resolution, high-speed images of gold atoms self-organizing, falling apart, and then reorganizing many times before settling into a stable, ordered crystal. When we grow crystals, atoms first group together into small clusters -- a process called nucleation. But understanding exactly how such atomic ordering emerges from the chaos of randomly moving atoms has long eluded scientists. Classical nucleation theory suggests that crystals form one atom at a time, steadily increasing the level of order. Modern studies have also observed a two-step nucleation process, where a temporary, high-energy structure forms first, which then changes into a stable crystal. But according to an internationa

CLASSICAL MECHANICS PART 1 : CARTESSIAN , CYLINDRICAL, POLAR COORDINATES AND ROTATIONAL FRAME OF REFERANCE

 THE FOLLOWING CONTENT WILL COVER COMPLETE BASIC KNOWLEDGE ABOUT CLASSICAL MECHANICS AND GIVE YOU AN OVERVIEW ABOUT COORDINATE SYSTEMS AND FRAME OF REFERANCE...... Coordinate system In  geometry , a  coordinate system  is a system that uses one or more  numbers , or  coordinates , to uniquely determine the  position  of the  points  or other geometric elements on a  manifold  such as  Euclidean space . The order of the coordinates is significant, and they are sometimes identified by their position in an ordered  tuple  and sometimes by a letter, as in "the  x -coordinate". The coordinates are taken to be  real numbers  in  elementary mathematics , but may be  complex numbers  or elements of a more abstract system such as a  commutative ring . The use of a coordinate system allows problems in geometry to be translated into problems about numbers and  vice versa ; this is the basis of  analytic geometry . Cartesian coordinate system The prototypical example of a coord