Based on the volumes calculated in the previous question and the picture below, calculate the edge length, a, of the body-centered cubic cell, in pm, for each met  Volumes:  Cr - 2.28 x 10^-29m^3 Mo - 3.17 x 10^-29m^3 W - 3.15 x 10^-29m^3

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Based on the volumes calculated in the previous question and the picture below, calculate the edge length, a, of the body-centered cubic cell, in pm, for each met 

Volumes: 

Cr - 2.28 x 10^-29m^3

Mo - 3.17 x 10^-29m^3

W - 3.15 x 10^-29m^3

 

The image shows a cube with a side length labeled as \(a\). Inside the cube, there is a depiction of a larger sphere with a diameter marked as \(4R\), filling a significant portion of the cube’s volume. 

Additionally, there are several smaller spheres inside the cube, each with a radius \(R\). These smaller spheres appear to be positioned close to the larger sphere, likely illustrating a packing arrangement within the cube.

Key Features:
- The cube has side lengths \(a\).
- The diagonal of the cube is marked, and it appears to connect the opposite corners of the cube.
- The larger sphere has a diameter of \(4R\).
- The smaller spheres have a radius of \(R\).

The diagram is likely used to demonstrate concepts related to sphere packing or crystal lattice structures in materials science, highlighting the spatial relationships and proportions within the structure.
Transcribed Image Text:The image shows a cube with a side length labeled as \(a\). Inside the cube, there is a depiction of a larger sphere with a diameter marked as \(4R\), filling a significant portion of the cube’s volume. Additionally, there are several smaller spheres inside the cube, each with a radius \(R\). These smaller spheres appear to be positioned close to the larger sphere, likely illustrating a packing arrangement within the cube. Key Features: - The cube has side lengths \(a\). - The diagonal of the cube is marked, and it appears to connect the opposite corners of the cube. - The larger sphere has a diameter of \(4R\). - The smaller spheres have a radius of \(R\). The diagram is likely used to demonstrate concepts related to sphere packing or crystal lattice structures in materials science, highlighting the spatial relationships and proportions within the structure.
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