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26. The crystal lattice of platinum at normal pressure (1 atm) and temperature (298 K) is shown
below.
The platinum atoms adopt a lattice structure that is
cubic (1)
The coordination number of the platinum atom in the lattice is:
(1)
Each atom at the corner of the cube is shared among unit cells (1)
Each atom at the center of a face is shared among unit cells (1)
The total number of platinum atoms/unit cell is:
The mass of the unit cell is (please report in amu):
The edge length of the unit cell is determined from X-ray measurements to be 3.924 8. The
volume of the unit cell is therefore:
A (1)
The platinum atoms occupy % of the available unit cell volume (1)
The remaining % of the unit cell volume is unoccupied space (1)
The volume of the platinum atoms only/unit cell is
A' (1)
Assuming the platinum atoms are perfect spheres, the platinum atom radius is
(Given: volume of a sphere is 4/3Ar”). Please show all work below. (3)
А
Given 1 A = 10% cm and 1 amu = 1.66054 x 1024 g, please convert your platinum density from
amu/A to g/cm'. Please show all work below. (2)
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