Question

Bravais lattice are of:
A.\[8\] types.
B.\[12\] types.
C.\[14\] types.
D.\[9\] types.

Answer 1

Hint: We know that a lattice is a geometric arrangement of the points in space at which the atoms, molecules, ions or constituent particles of a crystal occur. It describes the arrangement of particles in the crystal. Unit cell of a crystal is defined by lattices.

Complete answer:
In crystallography, the Bravais lattice concept of an infinite array of discrete points is expanded using the concept of a unit cell which includes the space in between the discrete lattice points as well as any atoms in that space. There are two main types of unit cells: primitive unit cells and non-primitive unit cells. Bravais Lattice is an infinite array of discrete points in three dimensional space generated by a set of discrete translation operations. It is named after French physicist Auguste Bravais. He is known for his work in crystallography.
He gave the concept of Bravais lattice and formulated Bravais Law. In three dimensional space, \[14\] Bravais lattices are there into which constituent particles of the crystal can be arranged. These \[14\] Bravais lattices are obtained by combining lattice systems with centering types. A Lattice system is a class of lattices with the same set of lattice point groups, which are subgroups of the arithmetic crystal classes. \[14\] Bravais lattices can be divided into \[7\] lattice systems. There are seven crystal systems with fourteen Bravais lattices:
-Cubic
-Tetragonal
-Orthorhombic
-Hexagonal
-Rhombohedral
-Monoclinic
-Triclinic
Therefore, the correct answer is option C.

Note:
Remember that the primitive unit cell for a given Bravais lattice can be chosen in more than one way (each way having a different shape), but each way will have the same volume and each way will have the property that a one-to-one correspondence can be established between the primitive unit cells and the discrete lattice points.