What type of unit cell from following is common to all seven types of crystal systems?

What type of unit cell from following is common to all seven types of crystal systems?
  1. Simple
  2. Body-centred
  3. Face-centred
  4. Base-centred

Solution

In 14 types of Bravais lattices, the body-centered unit cell is present in cubic, tetragonal, and orthorhombic crystal systems only. These are given as- $\begin{array}{|c|c|c|} \hline \begin{array}{c} \text{Sr.} \\ \text{No.} \end{array} & \begin{array}{c} \text{Type of} \\ \text{System} \end{array} & \text{Bravais lattices present} \\ \hline 1 & \text{Cubic} & \begin{array}{c} \text{Simple, Face-centered, Body-} \\ \text{centered} \end{array} \\ \hline 2 & \begin{array}{c} \text{Orthorho} \\ \text{mbic} \end{array} & \begin{array}{c} \text{Simple, base-centered, Face-centered,} \\ \text{Body-centered} \end{array} \\ \hline 3 & \text{Tetragonal} & \text{Simple, Body-centered} \\ \hline 4 & \text{Monoclinic} & \text{Simple, Base-centered} \\ \hline 5 & \text{Triclinic} & \text{Simple} \\ \hline 6 & \begin{array}{c} \text{Rhombohe} \\ \text{dral} \end{array} & \text{Simple} \\ \hline 7 & \text{Hexagonal} & \text{Simple or primitive} \\ \hline \end{array}$

Asked in: MHT CET 2024 (11 May Shift 2)

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