The correct answer is option 4. A-III, B-IV, C-I, D-II.
| List I |
List II |
| A. Hexagonal |
III. \(\alpha = beta = 90^o; \gamma = 120^o\) |
| B. Orhorhombic |
IV. \(\alpha = \beta = \gamma = 90^o\) |
| C. Tricilinic |
I. \(\alpha ≠ \beta ≠ \gamma ≠ 90^o\) |
| D. Monoclinic |
II. \(\alpha = \gamma = 90^o; \beta ≠ 90^o\) |
Crystal systems describe the arrangement of atoms in crystalline solids based on the lengths and angles between their axes. Here's an explanation for each crystal system mentioned:
A. Hexagonal Crystal System (Matched with III):
In a hexagonal crystal system, there is a single axis of symmetry that is perpendicular to the plane of the hexagon. The lengths of all three axes are equal, but the angles between them differ. Specifically, two of the angles (\(\alpha\) and \(\beta\)) are equal to 90 degrees, while the third angle (\(\gamma\)) is 120 degrees.
B. Orthorhombic Crystal System (Matched with IV):
The orthorhombic crystal system has three mutually perpendicular axes of different lengths. All angles between these axes are 90 degrees (\(\alpha = \beta = \gamma = 90^\circ\)).
C. Triclinic Crystal System (Matched with I):
The triclinic crystal system has three axes of different lengths, and all of the angles between these axes are different from each other. None of the angles are right angles (\(\alpha \neq \beta \neq \gamma \neq 90^\circ\)).
D. Monoclinic Crystal System (Matched with II):
In the monoclinic crystal system, there are three axes of different lengths. Two of the axes intersect at right angles (\(\alpha = \beta = 90^\circ\)), but the third axis intersects at a different angle (\(\gamma \neq 90^\circ\)). | 
