Which of the following arrangements of particles does a simple cubic lattice follow/

Options

A. ABAB
B. AABB
C. ABCABC
D. AAA

Answer

To determine which arrangement of particles corresponds to a simple cubic lattice, we can follow these steps:

### Step 1: Understand the Concept of Simple Cubic Lattice
A simple cubic lattice is a type of crystal structure where the particles (atoms, ions, or molecules) are arranged in a three-dimensional grid. Each particle is located at the corners of a cube.

**Hint:** Remember that in a simple cubic lattice, each corner of the cube has one particle.

### Step 2: Analyze 2D Packing
In a simple cubic lattice, the arrangement can be visualized by looking at how particles are packed in two dimensions first. In 2D packing, particles are arranged in a flat layer.

**Hint:** Visualize how circles (representing particles) are arranged in a flat layer.

### Step 3: Identify the Layering in 3D
When you stack multiple layers of this 2D packing, you can see that each layer is identical. For a simple cubic lattice, the arrangement of particles in the layers is the same. This is referred to as AA type packing, where each layer is identical to the one below it.

**Hint:** Think about how stacking identical layers would look in a 3D structure.

### Step 4: Conclude the Arrangement
Since the arrangement of particles in a simple cubic lattice corresponds to identical layers stacked on top of each other, we conclude that it follows the AA packing arrangement.

**Hint:** Remember that AA packing means the same arrangement is repeated in each layer.

### Final Answer
The arrangement of particles that a simple cubic lattice follows is **AA packing**.