# Atoms b what is the volume of one unit cell in å 3

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(b) What is the volume of one unit cell inÅ3?3
(c) Assuming that the atoms are spheres and the radius of each sphere is1.38Å, what is the volumeof one atom inÅ3? (Vsphere= 4/3πr3.)3
(d) Therefore, what volume of atoms are in one unit cell?3
(e) Based on your results from parts (b) and (d), what is the packing efficiency of the solid expressedas a percentage?%
4/15/2020Lab 6 PostLab - Solid State Modeling - CHEMISTRY 102, section 022, Spring 2020 | WebAssign5/11Many metals pack in cubic unit cells. The density of a metal and length of the unit cell can be used todetermine the type for packing. For example,ironhas a density of7.87g/cm3and a unit cell side lengthaof2.87Å. (1Å= 110-8cm.)(a) How manyironatoms are in exactly 1 cm3?8.49e228.49e+22atoms(b) How many unit cells are in exactly 1 cm3?4.23e224.23e+22unit cells(c) How manyironatoms are there per unit cell?22atom(s)(d) The atoms/unit cell suggests thatironpacks as abody-centeredbody-centeredunitcell.Knowledge of the type of packing and side lengthaof 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 tocalculate the atomic radius.

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