how to calculate atomic radius
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It is actually not possible to calculate the atomic radius because the position of the electrons might not be fixed.
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Atomic radius is determined as the distance between the nuclei of two identical atoms bonded together. The atomic radius of atoms generally decreases from left to right across a period. The atomic radius of atoms generally increases from top to bottom within a group.
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In general, the size of an atom will decrease as you move from left to the right of a certain period.