Atomic Radius and Lattice Parameter Relationship in HCP Crystals?

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The relationship between atomic radius R and the lattice parameter a in hexagonal close-packed (HCP) crystals is crucial for understanding their structure. The ratio of the lattice parameters a and c is typically 1.633, which can be derived from geometric considerations of the HCP arrangement. This ratio is essential for maintaining the close packing of atoms in the crystal structure. Further exploration of this relationship can be found in detailed physics resources. Understanding these parameters is key for applications in materials science and solid-state physics.
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Hello, can anyone help me out the the relationship of the atomic radius R with the lattice parameter a for a Hexagonal close packed cystals (HCP) and how to prove the ratio of a:C is 1.633.

Any information on this issues would be appreciated. Thanks
 
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