تم الحل ✓
categoryهندسة مواد
schoolبكالوريوس
event_available2026-07-14
السؤال
Transcribed Image Text:
질문 7
Calculate the linear packing factor (LPF) of a <100> type
direction of the face-centered cubic (FCC) crystal structure.
1점
Answer Format: X.XX
Hopefully you realize that LPF must be less than or equal to 1.
PPF and APF are definitely less than 1.
1
*FE (but without graphics and hints).
This is a challenging question.
Here is a picture of a full-sphere physical model of the diamond cubic crystal, looking down a <110> axis:
The reduced-sphere depiction of the diamond cubic (DC) unit cell is provided below.
Note that bonds within the cube are colored to highlight the tetrahedral coordination associated with sp³ bonding.
The dotted lines merely show the cubic symmetry that this packing scheme also features, but these are not indicating covalent bonds.
The reduced-sphere depiction of the diamond cubic (DC) unit cell is provided below.
Note that bonds within the cube are colored to highlight the tetrahedral coordination associated with sp³ bonding.
The dotted lines merely show the cubic symmetry that this packing scheme also features, but these are not indicating covalent bonds.
☑
The radius of atoms that pack in DC fashion are related to the lattice parameter by the relation:
8R
a
√√3
Compute the atomic packing factor (APF) of diamond cubic.
Answer Format X.XX
0.74
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