Simple cubic is a type of crystal structure where atoms or molecules are arranged in a three-dimensional cubic lattice, with one atom or molecule located at each of the eight corners of the cube. This arrangement is one of the most fundamental and common crystal structures found in solid materials.
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The simple cubic crystal structure has a coordination number of 6, meaning each atom or molecule is surrounded by 6 nearest neighbors.
The simple cubic unit cell has a lattice parameter (edge length) of $a$, and the volume of the unit cell is $a^3$.
Materials with a simple cubic crystal structure include alkali metals (e.g., sodium, potassium) and some noble gases (e.g., argon) at low temperatures and high pressures.
The packing efficiency of the simple cubic structure is relatively low, with only 52% of the available volume occupied by the atoms or molecules.
Simple cubic structures are often used as a starting point for understanding more complex crystal structures found in many solid materials.
Review Questions
Describe the key features of the simple cubic crystal structure.
The simple cubic crystal structure is characterized by atoms or molecules arranged in a three-dimensional cubic lattice, with one atom or molecule located at each of the eight corners of the cube. This arrangement results in a coordination number of 6, meaning each atom or molecule is surrounded by 6 nearest neighbors. The unit cell of a simple cubic structure has a lattice parameter of $a$, and the volume of the unit cell is $a^3$. The packing efficiency of the simple cubic structure is relatively low, with only 52% of the available volume occupied by the atoms or molecules.
Explain the relationship between the simple cubic structure and the unit cell.
The simple cubic structure is defined by the arrangement of atoms or molecules in a three-dimensional cubic lattice. The unit cell is the smallest repeating unit that, when translated in three dimensions, describes the entire crystal structure. In the case of the simple cubic structure, the unit cell is a cube with one atom or molecule located at each of the eight corners. The size of the unit cell is determined by the lattice parameter, $a$, which defines the edge length of the cube. The volume of the simple cubic unit cell is $a^3$, and this volume is repeated throughout the entire crystal structure.
Analyze the advantages and limitations of the simple cubic crystal structure compared to other crystal structures.
The simple cubic crystal structure is one of the most fundamental and common crystal structures, but it also has some limitations. One advantage is its simplicity, which makes it a useful starting point for understanding more complex crystal structures. Additionally, the simple cubic structure is found in some alkali metals and noble gases at specific conditions. However, the simple cubic structure has a relatively low packing efficiency, with only 52% of the available volume occupied by the atoms or molecules. This low packing efficiency can result in less dense and less stable materials compared to other crystal structures with higher packing efficiencies, such as the face-centered cubic or body-centered cubic structures. The simple cubic structure also has a coordination number of 6, which may limit the types of bonding and interactions that can occur between the atoms or molecules in the structure.
Related terms
Crystalline Solid: A solid material in which the atoms, molecules, or ions are arranged in an orderly repeating pattern extending in all three spatial dimensions.