Question

Part A The plane famlies When beginning to think sbout calculating the maximum planar density, you will need to consider which plane to use. Selecting a plane can eeem daunting because there are an infinite number of planes in a cubic unit cell. However, when calculating the maximum pianar density for a plane with equal sized atoms, there are only a few families of planes that area important-thosee that pass through the corners of the unit cell. Sort all the planes into famiies. An example from each famiy is shown below (100) 110) (111) Drag-and-drap the appropriate planes into their respective bins. View Available Hint(s Reset Help Learning Goal: (011)(110) (010)(001) (100) To doternine the maximum planar donsities for SC BCC and FCC urits cels Flanar density (PD) is the ratio of the area of a plane in a unit cell covered by atoms to the total area of the plane. Unlike linsar density, the maximum planar density for aqual sized atorms is not 1.0 because the atoms can never accupy 100 % of h plane ie., space always exis! belween the aloms regardless of conliguralion) In some unil cels, the maximum planar deneily for any plane in the call is even less than this maximum poesible value because there are no close packed planes. Planes in a unit cell can be clvided into familes of equivalent planes. Two planes are considered quivalent when their aoms have the same arrangemEnt. As a result, they have the sam planar density When yau examine a unil cell ta idenlily the plane of maximurm deneily, Ihere are several equivalent planes in the cell, and any one of them can be used to calculate the planar density. (110 [100) 111) In this tulorial, we will anly examine unit cels wilh anly one type of alom and simple cubic (SC), body centered cubic: (BOC), or face centered cubic (FCC) sructuree. Because of the symmetry or these cubic structures, the arrangement of atome in a uni cell is the same no matter where you place the origin or direct the aves Submit

Answer 1

ty (010)

(001)

(100)

(101)

(111)

(011)

(110)