Step 1: Understanding the Concept:
Crystal defects are classified by their dimension. Surface defects, also known as planar or two-dimensional (2D) defects, are imperfections that extend across a two-dimensional plane within the crystal. The question asks to identify which of the given options are 2D defects.
Step 2: Detailed Explanation:
A. Grain boundaries: These are interfaces where crystals of different orientations meet. Since they are interfaces separating 3D volumes (grains), the boundaries themselves are 2D defects.
B. Tilt boundaries: This is a specific type of low-angle grain boundary, which can be described as an array of edge dislocations. It represents a planar imperfection and is thus a 2D defect.
C. Twin boundaries: A twin boundary is a special type of grain boundary across which the crystal lattice is a mirror image of the other side. This mirror plane is a 2D defect.
D. Stacking boundaries (Stacking Faults): This defect occurs when there is an error in the sequence of stacking of crystal planes (e.g., an ABCABC... sequence in FCC becomes ABCABC...). This fault plane is a 2D defect.
Step 3: Final Answer:
All the listed items—Grain boundaries, Tilt boundaries, Twin boundaries, and Stacking boundaries—are examples of two-dimensional (surface) defects in crystals. Therefore, all statements A, B, C, and D are correct.