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A. Imagine a simple cubic structure whose atoms touch each other along <001> directions. Determine the largest atom which could fit in the center of this cube in terms of the radius, R, of the corner atoms. 1. B. Place an atom with the largest possible radius in this center location in the SC structure as described above. l Is this he same atom as can be found on the comers of the cube? How do you kmow? (max 15 word response) ii. How many atoms/cube are there? (max 5 word response) ii. How many lattice points/cube are there? (Hint: you may need to remember the property of lattice points.) (max 5 word response)

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S.C.C the largest atom ωhich could fit in the Centek ob this coLu cube radius ok atom A or B= R Edge length of cube 2R Edge length of diagonal (AD) J2X2R length of bodd diagonal (AB)= &R[i kength o largest atom cohich could it in the Center this cubeニ &RE-

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