Answer the following for a body centered unit cell.
type of packing
type of holes
# atoms / 1 unit cell
coordination #
yo what were your type of holes for this problem??
the type of packing for bcc is A-B-A
packing: A-B-A
holes : octahedral
#atoms/1 unit cell : 2
coordination #: 8
To answer these questions for a body-centered unit cell, we need to have a basic understanding of crystal structures and unit cells.
A unit cell is the smallest repeating unit of a crystal lattice, which is a three-dimensional arrangement of atoms, ions, or molecules in a solid. A body-centered unit cell is one of the seven crystal systems and has the following characteristics:
1. Type of Packing: A body-centered unit cell involves a cubic lattice structure in which atoms or ions are arranged in such a way that one atom occupies each corner of the cube, and an additional atom is located at the center of the cube. This arrangement is known as body-centered cubic (BCC) packing.
2. Type of Holes: In BCC packing, the additional atom at the center of the cube creates voids or holes known as octahedral holes. An octahedral hole is a space between the closely packed atoms, and it can accommodate smaller atoms or ions.
3. Number of Atoms per Unit Cell: In a body-centered unit cell, there are two atoms present. One atom is located at each of the eight corners of the cube, and another atom is positioned at the center of the cube. Therefore, the number of atoms per unit cell is 2.
4. Coordination Number: The coordination number refers to the number of atoms or ions directly surrounding a specific atom or ion in a crystal lattice. In a body-centered unit cell, each atom located at the corners is in contact with eight neighboring atoms that are arranged in a cube. Additionally, the central atom is in contact with eight corner atoms, forming octahedral coordination. Hence, the coordination number for each atom in a body-centered unit cell is 8.
Remember that these characteristics are specific to a body-centered unit cell and might vary for different types of unit cells or crystal systems.