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why exact size of an atom can not be determined??

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An atom is not a solid object with a well-defined outer boundary.  It consists of a small, dense nucleus surrounded by a "cloud" of electrons.  Most of the volume of the electron cloud is empty space.  We can estimate a radius for the electron cloud but due to the Heisenberg Uncertainty Principle, a specific location for each electron cannot be measured.  Hence the atomic radius is just an approximation and not an exact measurement.