Many metals pack in cubic unit cells. The density of a metal and length of the u

Question

Many metals pack in cubic unit cells. The density of a metal and length of the unit cell can be used to determine the type for packing. For example, sodium has a density of 0.968 g/cm3 and a unit cell side length a of 4.29 Å. (1 Å = 1. 10-8 cm.)

(a) How many sodium atoms are in exactly 1 cm3? _____atoms

(b) How many unit cells are in exactly 1 cm3? _____ unit cells

(c) How many sodium atoms are there per unit cell? _____atom(s)

(d) The atoms/unit cell suggests that sodium packs as a ___?___ unit cell.

Knowledge of the type of packing and side length a of the unit cell will allow calculation of the atomic radius, using one of the equations below. You may need to draw the unit cell to determine which formula to use to calculate the atomic radius.

e) What is the atomic radius of sodium?

Explanation / Answer

Many metals pack in cubic unit cells. The density of a metal and length of the u

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