Chemistry
Chemistry
Problem
The ratio of co-ordination no. of Al and no. of Al atoms per unit cell in fcc lattice is .....Intuitive explanation
In an fcc lattice, aluminum atoms sit at specific positions, and you need to count two separate things: how many nearest neighbors each Al atom touches (coordination number), and how many Al atoms actually belong to one unit cell (accounting for sharing at corners and faces). The key insight is that these are independent questions—coordination number is a local property around one atom, while the per-unit-cell count requires careful bookkeeping of fractional contributions from corners and face centers.
Intuitive explanation
In an fcc lattice, aluminum atoms sit at specific positions, and you need to count two separate things: how many nearest neighbors each Al atom touches (coordination number), and how many Al atoms actually belong to one unit cell (accounting for sharing at corners and faces). The key insight is that these are independent questions—coordination number is a local property around one atom, while the per-unit-cell count requires careful bookkeeping of fractional contributions from corners and face centers.