Help Me Solve a Lab Question Involving Atoms in a Lattice

AI Thread Summary
The discussion revolves around a lab question involving the arrangement of spherical atoms in a cube closest-packed lattice and a body-centered cubic structure. The first part requires calculating the total number of atoms within a small cube, the volume occupied by these atoms, the volume of the cube, and the fraction of space occupied by the atoms. The second part involves demonstrating that 68.0 percent of the available space is occupied by atoms in a body-centered cubic structure. Participants emphasize the need for the question to be posted in the homework section and stress the importance of showing analysis before receiving assistance. The conversation highlights the forum's policy on homework help.
cyks07
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this is one of lab question but i don't even understand please help me
the question is

1. consider spherical atoms of radius R arranged in a cube closest-packed lattice. if a small cube is constructed so that its corners are at the centers of the corner atoms, then one-eighth of each corner atom and one-half of each face-centered atom lies within the small cube. what is the total number of atoms within the small cube? calculate the volume occupied by these atoms, the volume of the cube, and the fraction of the available space that is occupied by atoms.


2. show that for spherical atoms in a body-centered cubic structure exactly 68.0 percent of the available space is occupied by atoms. (hint : begin by constructing cube like the one described in question 1

please..if u know help me
 
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nobody knows?
 
This question belongs in the homework section, also, you're going to need to show your analysis for each of them before any of us are allowed to help you. It's just the policy here at physicsforums.
 
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