Questions: How many atoms are shown in the image? Consider the simple cubic (primitive cube) unit cell shown in this image.

How many atoms are shown in the image? Consider the simple cubic (primitive cube) unit cell shown in this image.
Transcript text: How many atoms are shown in the image? Consider the simple cubic (primitive cube) unit cell shown in this image.
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Solution

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Solution Steps

Step 1: Identify the type of unit cell

The image shows a simple cubic (primitive cubic) unit cell.

Step 2: Count the atoms at the corners

In a simple cubic unit cell, there is one atom at each of the eight corners of the cube.

Step 3: Calculate the contribution of each corner atom

Each corner atom is shared among eight adjacent unit cells, so each corner atom contributes 1/8th of an atom to the unit cell.

Step 4: Sum the contributions

There are 8 corner atoms, each contributing 1/8th of an atom: \[ 8 \times \frac{1}{8} = 1 \]

Final Answer

There is 1 atom shown in the image.

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