Are FCC or BCC Crystal Structures Stronger?

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The discussion centers on the strength of metals based on their crystal structures, specifically face-centered cubic (FCC) and body-centered cubic (BCC) configurations. It highlights that the strength of a material is directional, influenced by the applied force's direction. The atomic packing factor (APF) and coordination number are crucial in assessing strength, as they relate to how atoms are arranged and the number of slip systems available for deformation. FCC metals have more slip systems, making them more ductile and easier to deform, while BCC metals, despite being less ductile, are generally stronger. The conversation also mentions that hexagonal close-packed (HCP) metals are the most brittle. References to authoritative texts like Calister or Smith are suggested for further understanding of these concepts.
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"Which metals tend to be stronger, those that form FCC or those that form BCC crystals? "
This is the solution provided which doesn't make much sense to me: "You should look at APF and coordination number of each crystal system to base your answer"
Is this even a valid question? Doesn't the answer depend on which direction the material is going to be subjected to a force since "strongness" is a directional property? I thought we should choose a particular direction for both systems and look at planar and linear densities. Hence, the slip phenomenon in the crystal structure with a greater planar density in the "chosen direction" will progress with more ease which suggests that the the material is "stronger" if subjected to a force in the chosen direction.
I would appreciate it if someone could point me to the flaw in my reasoning.
 
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It is a valid question. FCC metals tend to have more slip systems, i.e. slip directions and slip planes than BCC. Yes the APF is important, the atomic packing factor, that is the reason FCC has more slip systems, because of the way the atoms are arranged in the crystal.
Thus FCC metals deform easier than BCC metals and thus they are more ductile. BCC metals are infact stronger than FCC metals. HCP metals are the most brittle.
Calister or Smith explains this if you can get your hands on either of the books.
 
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