1. The smallest repeating structural unit of a crystal which when repeated in space generates the entire lattice is called:
- Bravais lattice
- Unit cell β
- Basis
- Crystal system
This chapter explains the structure and properties of solids. Topics include: types of solids (molecular, ionic, covalent, metallic, amporphous), crystal lattice and unit cells, Bravais lattices, close packing (ccp/fcc, hcp), packing efficiency, voids, coordination number, defects in solids (point, line, planar), electrical conductivity, band theory of solids, semiconductors, ionic conductivity, and techniques to determine crystal structure (X-ray diffraction, Bragg's law).
Crystal lattice: 3D periodic arrangement of points. Unit cell: smallest repeating unit defined by lattice parameters a, b, c and angles Ξ±, Ξ², Ξ³. Types of unit cells: simple cubic (sc), body centered cubic (bcc), face centered cubic (fcc/ccp).
Close packing of spheres: layers ABCABC... (ccp/fcc) and ABAB... (hcp). Packing efficiency: fcc/hcp = 74%, bcc = 68%, sc = 52%. Voids: tetrahedral and octahedral; their locations and coordination numbers.
Point defects: vacancies, interstitials, Frenkel and Schottky defects. Effect on density, conductivity, and mechanical properties. Line defects (dislocations) affect plastic deformation; planar defects include grain boundaries.
Band theory explains electrical behaviour: conductors (overlapping bands), insulators (large band gap), semiconductors (small band gap). Intrinsic and extrinsic semiconductors (n-type via donor impurities, p-type via acceptors). Temperature dependence of conductivity.
Experimental Techniques: X-ray diffraction and Bragg's law nΞ» = 2d sinΞΈ for determining interplanar spacing d. Use of Hall effect to determine carrier type in semiconductors.
1. The smallest repeating structural unit of a crystal which when repeated in space generates the entire lattice is called:
2. The number of Bravais lattices in three dimensions is:
3. Packing efficiency of face centred cubic (fcc) structure is approximately:
4. In a simple cubic unit cell, number of atoms per cell is:
5. Coordination number of atoms in a bcc lattice is:
6. Which of the following is NOT a crystalline solid?
7. A Frenkel defect is characterized by:
8. Schottky defect is typically found in ionic solids where ions are:
9. Bragg's law nΞ» = 2d sinΞΈ is used in:
10. In close packed structures, the coordination number of atoms at octahedral void is:
11. The number of tetrahedral voids in a close packed structure is:
12. Packing efficiency of bcc structure is approximately:
13. A substance showing metallic bonding will typically exhibit:
14. The formula unit of rock salt structure (NaCl) has coordination number of:
15. Ionic solids are generally:
16. An extrinsic semiconductor is made by:
17. Which defect increases ionic conductivity in ionic solids?
18. In NaCl structure, the unit cell is best described as:
19. Band gap of a semiconductor is typically:
20. In a unit cell, atoms touching along face diagonal is characteristic of:
21. The radius ratio rule helps predict:
22. Which solid has a network covalent structure leading to very high melting point?
23. The presence of dislocations in metals is responsible for:
24. Which solid among the following will show ionic bonding?
25. Coordination number of octahedral void is:
26. In X-ray diffraction, higher ΞΈ angles correspond to:
27. The density of a crystalline solid can be calculated using unit cell parameters and:
28. Which solid exhibits both covalent and metallic characteristics in bonding?
29. Which of the following increases with temperature in intrinsic semiconductors?
30. In a ccp (fcc) arrangement, fraction of tetrahedral holes occupied if one out of every 2 atoms occupies tetrahedral site is:
31. A material with overlapping valence and conduction bands behaves as:
32. Which defect involves replacement of a lattice ion by a foreign ion?
33. Ionic solids are brittle because:
34. The number of atoms per unit cell in fcc structure is:
35. Which solid has delocalized electrons responsible for metallic luster?
36. In a close-packed structure, octahedral voids are larger than tetrahedral voids. True or False?
37. Which technique gives direct information about atomic arrangement in crystals?
38. The presence of vacancy defects will:
39. In semiconductors, doping with pentavalent impurity results in:
40. Which is true for amorphous solids compared to crystalline solids?
41. The defect where atoms of different size replace host atoms is called:
42. Which of the following structures has coordination number 12?
43. A material with a band gap of 0 eV is classified as:
44. The number of octahedral voids in a close packed structure equals:
45. Which of the following increases ionic mobility in solid electrolytes?
46. Which solid is an example of a molecular solid?
47. The formula for theoretical density (Ο) involves Avogadro's number (N_A), mass of atoms in unit cell (m), and:
48. The main difference between ccp and hcp arrangements is:
49. Which of these solids conducts electricity in molten state but not in solid state?
50. Which property best distinguishes crystalline solids from amorphous solids?