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Chemistry · Class 12 Science

Ch 1Solid State — Class 12 Chemistry, concept-first.

The solid state is one of the three common states of matter, and it stands apart from liquids and gases because the particles that make up a solid -- atoms, ions or molecules -- are held together by strong interparticle forces of attraction.

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1.1

Introduction

The solid state is one of the three common states of matter, and it stands apart from liquids and gases because the particles that make up a solid -- atoms, ions or molecules -- are held together by s…

1.2

Types of solids

3 Q

Solids are broadly divided into two types depending on how their constituent particles are arranged: crystalline solids and amorphous solids.

1.2.1

Crystalline solids

Crystalline solids possess three characteristic properties that set them apart. First, there is regularity and periodicity in the arrangement of their constituent particles, with this ordered arrangem…

1.2.2

Amorphous solids

Amorphous solids lack the long-range order of crystalline solids. Their constituent particles are randomly arranged and possess, at best, a short-range order -- essentially they behave like supercoole…

1.2.3

Isomorphism and polymorphism

Similarities and differences in crystal structure across substances are described by two related terms.

1.3

Classification of crystalline solids

Crystalline solids are further classified into four broad categories based on the nature of the constituent particles and the type of force holding them together: ionic solids, covalent network solids…

1.3.1

Ionic crystals

Ionic crystals have the following characteristics:

1.3.2

Covalent network crystals

4 Q

Characteristics of covalent network crystals are as follows:

1.3.3

Molecular crystals

Substances such as , , , and give molecular crystals on solidification, and crystalline organic compounds are molecular solids as well. Their characteristics:

+Can you recall?i1 question
  1. Q1What is a hydrogen bond?Preview
1.3.4

Metallic crystals

Metallic crystals are crystalline solids formed by atoms of the same metallic element, held together by a metallic bond.

1.4

Crystal structure

The ordered, three-dimensional arrangement of particles within a crystal is described using two linked ideas: the lattice and the basis.

1.4.1

Crystal, lattice and basis

A lattice is a geometrical arrangement of points in a three-dimensional periodic array -- purely a mathematical scaffold of positions, with no physical particle yet attached to it.

1.4.2

Unit Cell

The space lattice of a crystal is built up by repeating a three-dimensional basic pattern; this smallest repeating structural unit of a crystalline solid is called the unit cell.

1.4.3

Types of unit cell

There are four types of unit cell, distinguished by where the constituent particles are located within the cell.

1.4.4

Crystal systems

Mathematical analysis shows that only fourteen distinct kinds of three-dimensional space lattice are geometrically possible -- there are just 14 ways in which identical points can be arranged in a per…

1.5

Cubic system

In the cubic crystal system all three edge lengths are equal () and all three interaxial angles are . The cubic system has three possible kinds of unit cell:

1.5.1

Number of particles in cubic unit cells

The number of particles that actually belong to a given unit cell depends on how each particle is shared with the neighbouring cells.

1.5.2

Relationship between molar mass, density of the substance and unit cell edge length

The relationship between the density of a substance, its molar mass and its unit cell edge length is deduced in the following steps.

1.6

Packing of particles in crystal lattice

The constituent particles of a crystalline solid are close packed -- they are arranged as tightly together as possible, which maximises the attractive interactions between neighbouring particles.

1.6.1

Close packed structures

The three-dimensional close packed structure is best understood by building it up in stages: first a single row of spheres, then a layer, then a stack of layers.

1.6.2

Coordination number in close packed structure

The coordination number of a sphere in a close packed structure -- the number of neighbouring spheres it touches -- depends on which structure the layers build:

1.6.3

Number of voids per atom in hcp and ccp

The tetrahedral and octahedral voids created during hexagonal close packing occur in a fixed proportion to the number of particles packed.

1.7

Packing efficiency

Just like coordination number, packing efficiency gives a quantitative measure of how tightly the particles of a crystal are packed.

1.7.1

Packing efficiency of metal crystal in simple cubic lattice

The packing efficiency of a metal crystal in the simple cubic lattice is obtained by the following steps.

1.7.2

Packing efficiency of metal crystal in body-centred cubic lattice

The packing efficiency of a metal crystal in the body-centred cubic lattice is obtained by the same four steps.

1.7.3

Packing efficiency of metal crystal in face-centred cubic lattice (or ccp or hcp lattice)

The packing efficiency of a metal crystal in the face-centred cubic lattice (which equals that of the ccp and hcp lattices) is obtained by the same four steps.

1.7.4

Number of particles and unit cells in x g of metallic crystal

Combining the density relation (Eq. 1.4) with Avogadro's number lets us count the particles -- and the unit cells -- present in any given mass of a metallic crystal.

1.8

Crystal defects or imperfections

Real, naturally occurring crystalline substances never have a perfect crystal structure -- they always show some disorder or irregularity in how their constituent particles are stacked, and such irreg…

1.8.1

Point defects

Point defects are irregularities produced in the arrangement of the basis at the lattice points of a crystalline solid -- localised disruptions confined to individual lattice sites, as opposed to defe…

1.8.1a

Stoichiometric point defects

In a stoichiometric point defect the stoichiometry of the compound -- the ratio of atoms, or of cations to anions, fixed by its chemical formula -- remains unchanged even though the crystal is imperfe…

1.8.1b

Impurity defect

An impurity defect arises when foreign atoms -- atoms different from those of the host -- are present in the crystal lattice. There are two kinds.

1.8.1c

Nonstoichiometric defects

In a nonstoichiometric defect the ratio of the atoms -- or of the cations to the anions -- genuinely becomes different from the ratio indicated by the compound's chemical formula, though the overall c…

1.9

Electrical properties of solids

Solids show an extremely wide range of electrical conductivity, and on this basis they are classified into three categories.

1.9.1

Band theory

Band theory explains the electrical properties of solid metals, nonmetals and metalloids in terms of bands -- vast numbers of closely spaced electronic energy levels.

1.9.2

Metals

Metals are good conductors of electricity because the outermost electrons of all the atoms in the metallic crystal occupy the conduction band, and the number of electrons in that band is enormous.

1.9.3

Insulators

In an insulator, the valence band is completely filled with electrons while the conduction band above it is entirely empty, and the two bands are separated by a large energy gap called the forbidden z…

1.9.4

Semiconductors

A semiconductor's electrical conductivity is intermediate between that of a metal and that of an insulator; the metalloids silicon and germanium are the classic examples.

1.9.5

Extrinsic semiconductors and doping

The conductivity of a semiconductor can be increased deliberately by doping -- adding a minute, controlled quantity of an impurity, called the dopant, to the pure material.

1.10

Magnetic properties of solids

The magnetic properties of a solid follow from the classical picture of the spinning electron: a spinning electron behaves like a tiny magnet, its spin generating an induced magnetic field.

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2. Answer the following in one or two sentences

3. Answer the following in brief.

Questions 4–14

+Questions 4-1411 questions
  1. Q4The density of iridium is 22.4 g/cm³. The unit cell of iridium is fcc. Calculate the radius of iridium atom. Molar mass of iridium is 192.2…Free
  2. Q5Aluminium crystallizes in cubic close packed structure with unit cell edge length of 353.6 pm. What is the radius of Al atom? How many unit…Free
  3. Q6In an ionic crystalline solid atoms of element Y form hcp lattice. The atoms of element X occupy one third of tetrahedral voids. What is the…Free
  4. Q7How are tetrahedral and octahedral voids formed?Preview
  5. Q8Third layer of spheres is added to second layer so as to form hcp or ccp structure. What is the difference between the addition of third lay…Preview
  6. Q9An element with molar mass 27 g/mol forms cubic unit cell with edge length of 405 pm. If density of the element is 2.7 g/cm³. What is the na…Preview
  7. Q10An element has a bcc structure with unit cell edge length of 288 pm. How many unit cells and number of atoms are present in 200 g of the ele…Preview
  8. Q11Distinguish with the help of diagrams metal conductors, insulators and semiconductors from each other.Preview
  9. Q12What are n-type semiconductors? Why is the conductivity of doped n-type semiconductor higher than that of pure semiconductor? Explain with d…Preview
  10. Q13Explain with diagram, Frenkel defect. What are the conditions for its formation? What is its effect on density and electrical neutrality of…Preview
  11. Q14What is an impurity defect? What are its types? Explain the formation of vacancies through aliovalent impurity with example.Preview

Activity

Sample & Board Papers

Sample papers and previous-year board questions for this subject.

+Show 28 questions28 questions
  1. Q1What is ferromagnetism? Iron (Z = 26) is strongly ferromagnetic. Explain.Preview
  2. Q2Silver crystallises in fcc structure. If density of silver is $10.51\ g\ cm^{-3}$, calculate the volume of unit cell. [Atomic mass of silver…Preview
  3. Q3Iodine exists as _______. (a) polar molecular solid (b) ionic solid (c) non-polar molecular solid (d) hydrogen bonded molecular solidPreview
  4. Q4An ionic compound crystallises in FCC type structure with 'A' ions at the centre of each face and 'B' ions occupying corners of the cube. Th…Preview
  5. Q5Calculate the percentage efficiency of packing in case of simple cubic cell.Preview
  6. Q6An ionic crystal lattice has $\dfrac{r^+}{r^-}$ radius ratio of 0.320, its co-ordination number is — (a) 3 (b) 4 (c) 6 (d) 8Preview
  7. Q7Ionic solids are hard and brittle. Explain.Preview
  8. Q8The density of iron crystal is 8.54 gram $cm^{-3}$. If the edge length of unit cell is 2.8 $A°$ and atomic mass is 56 gram $mol^{-1}$, find…Preview
  9. Q9What is the ratio of octahedral holes to the number of anions in hexagonal closed packed structure?Preview
  10. Q10Define Anisotropy. Distinguish between crystalline solids and amorphous solids.Preview
  11. Q11The number of atoms per unit cell of body centred cube is: (a) 1 (b) 2 (c) 4 (d) 6Preview
  12. Q12Classify the following solids into different types: (A) Silver (B) $P_4$ (C) Diamond (D) NaClPreview
  13. Q13Unit cell of a metal has edge length of 288 pm and density of 7.86 g $cm^{-3}$. Determine the type of crystal lattice. [Atomic mass of metal…Preview
  14. Q14The co-ordination number of atoms in body centred cubic structure (bcc) is _____. (a) 4 (b) 6 (c) 8 (d) 12Preview
  15. Q15Write the consequences of Schottky defect with reasons.Preview
  16. Q16Explain metal deficiency defect with example. Write chemical equation for preparation of sulphur dioxide from sulphur. Write uses of sulphur…Preview
  17. Q17The relation between radius of sphere and edge length in body centered cubic lattice is given by formula: (a) $\sqrt{3}r = 4a$ (b) $r = \fra…Preview
  18. Q18Explain the following terms: (a) Substitutional impurity defect (b) Interstitial impurity defectPreview
  19. Q19Silver crystallizes in fcc structure. If edge length of unit cell is 400 pm, calculate density of silver (Atomic mass of Ag = 108). Write a…Preview
  20. Q20The number of particles present in Face Centred Cubic Unit Cell is/are _____. (a) 1 (b) 2 (c) 3 (d) 4Preview
  21. Q21Derive the relationship between molar mass, density of the substance and unit cell edge length.Preview
  22. Q22Predict the type of cubic lattice of a solid element having edge length of 400 pm and density is 6.25 g/ml (Atomic mass of element = 60). De…Preview
  23. Q23Schottky defect is NOT observed in _____. (a) NaCl (b) KCl (c) AgBr (d) NiOPreview
  24. Q24(a) An element with molar mass 27 g/mol forms a cubic unit cell with edge length 405 pm. If density of the crystal is 2.7 g cm$^{-3}$, ident…Preview
  25. Q25(a) Define a unit cell. Which colour is shown by NaCl crystal due to formation of F-centre? (b) Why does fluorine show anomalous behaviour i…Preview
  26. Q26Copper has fcc structure with edge length 495 pm. What is the radius of copper atom in pm?Preview
  27. Q27Define: (a) Isomorphism (b) Unit CellPreview
  28. Q28(i) Define: (a) Schottky defect (b) Ferromagnetism. (ii) Write the name of catalyst used in preparation of HDP. (iii) Draw structure of isop…Preview