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.
Key concepts
Hover a concept to preview it and jump to its most relevant Q&A.
Crystal Lattices and Unit Cells
A crystal is built by attaching a basis (one or more atoms, ions or molecules) to every point of a lattice -- a purely geometric, periodic arrangement of points in three dimensions -- so that Lattice + Basis = Crystal.
Most relevant Q&A
- When gold crystallizes, it forms face-centred cubic cells. The unit cell edge length is 408 pm. Calculate the density of gold. Molar mass of…Preview
- A compound made of elements C and D crystallizes in fcc structure. Atoms of C are present at the corners of the cube. Atoms of D are at the…Free
- Niobium forms bcc structure. The density of niobium is 8.55 g/cm³ and length of unit cell edge is 330.6 pm. How many atoms and unit cells ar…Preview
- Are the outermost electrons of carbons in diamond localized or delocalized?Free
- Molecular solids are a. crystalline solids b. amorphous solids c. ionic solids d. metallic solidsFree
In previous exams
How often this chapter’s concepts have been examined — real appearance data, never estimated.
Chapter contents
The NCERT structure, section by section. Open a section to see its questions, then read the concept-first solution.
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…
Types of solids
3 QSolids are broadly divided into two types depending on how their constituent particles are arranged: crystalline solids and amorphous solids.
+−Try this 1.22 questions
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…
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…
Isomorphism and polymorphism
Similarities and differences in crystal structure across substances are described by two related terms.
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…
Ionic crystals
Ionic crystals have the following characteristics:
Covalent network crystals
4 QCharacteristics of covalent network crystals are as follows:
+−Try this 1.3.21 question
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
Metallic crystals
Metallic crystals are crystalline solids formed by atoms of the same metallic element, held together by a metallic bond.
Crystal structure
The ordered, three-dimensional arrangement of particles within a crystal is described using two linked ideas: the lattice and the basis.
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.
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.
Types of unit cell
There are four types of unit cell, distinguished by where the constituent particles are located within the cell.
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…
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:
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.
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.
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.
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.
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:
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.
Packing efficiency
Just like coordination number, packing efficiency gives a quantitative measure of how tightly the particles of a crystal are packed.
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.
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.
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.
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.
+−Problemsi5 questions
- Problem 1.2A compound made of elements C and D crystallizes in fcc structure. Atoms of C are present at the corners of the cube. Atoms of D are at the…Free
- Problem 1.3The unit cell of metallic silver is fcc. If radius of Ag atom is 144.4 pm, calculate (a) edge length of unit cell, (b) volume of Ag atom, (c…Free
- Problem 1.4A compound is formed by two elements A and B. The atoms of element B forms ccp structure. The atoms of A occupy 1/3rd of tetrahedral voids.…Preview
- Problem 1.5Niobium forms bcc structure. The density of niobium is 8.55 g/cm³ and length of unit cell edge is 330.6 pm. How many atoms and unit cells ar…Preview
- Problem 1.6A compound forms hcp structure. What is the number of (a) octahedral voids (b) tetrahedral voids (c) total voids formed in 0.4 mol of it.Preview
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…
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…
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…
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.
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…
+−Can you think? 1.8.1c1 question
Electrical properties of solids
Solids show an extremely wide range of electrical conductivity, and on this basis they are classified into three categories.
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.
+−Can you recall?i2 questions
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.
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…
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.
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.
+−Can you tell? 1.9.52 questions
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.
1. Choose the most correct answer.
+−Choose the most correct answer8 questions
- Q1Molecular solids are a. crystalline solids b. amorphous solids c. ionic solids d. metallic solidsFree
- Q2Which of the follwong is n-type semiconductor? a. Pure Si b. Si doped with As c. Si doped with Ga d. Ge doped with InFree
- Q3In Frenkel defect a. electrical neutrality of the substance is changed. b. density of the substance is changed. c. both cation and anion are…Free
- Q4In crystal lattice formed by bcc unit cell the void volume is a. 68 % b. 74 % c. 32 % d. 26 %Preview
- Q5The coordination number of atoms in bcc crystal lattice is a. 2 b. 4 c. 6 d. 8Preview
- Q6Which of the following is not correct? a. Four spheres are involved in the formation of tetrahedral void. b. The centres of spheres in octah…Preview
- Q7A compound forms hcp structure. Number of octahedral and tetrhedral voids in 0.5 mole of substance is respectively a. $3.011\times10^{23}$,…Preview
- Q8Pb has fcc structure with edge length of unit cell 495 pm. Radius of Pb atom is a. 205 pm b. 185 pm c. 260 pm d. 175 pm > [!NOTE] > The text…Preview
2. Answer the following in one or two sentences
+−Answer in one or two sentences10 questions
- Q1What are the types of particles in each of the four main classes of crystalline solids?Free
- Q2Which of the three types of packing used by metals makes the most efficient use of space and which makes the least efficient use?Free
- Q3The following pictures show population of bands for materials having different electrical properties. Classify them as insulator, semiconduc…Free
- Q4What is the unit cell?Preview
- Q5How does electrical conductivity of a semiconductor change with temperature? Why?Preview
- Q6The picture represents bands of MOs for Si. Label valence band, conduction band and band gap. ![Bands of molecular orbitals for silicon, pri…Preview
- Q7A solid is hard, brittle and electrically nonconductor. Its melt conducts electricity. What type of solid is it?Preview
- Q8Mention two properties that are common to both hcp and ccp lattices.Preview
- Q9Sketch a tetrahedral void.Preview
- Q10What are ferromagnetic substances?Preview
3. Answer the following in brief.
+−Answer the following in brief10 questions
- Q1What are valence band and conduction band?Free
- Q2Distinguish between ionic solids and molecular solids.Free
- Q3Calculate the number of atoms in fcc unit cell.Free
- Q4How are the spheres arranged in first layer of simple cubic close-packed structures? How are the successive layers of spheres placed above t…Preview
- Q5Calculate the packing efficiency of metal crystal that has simple cubic structure.Preview
- Q6What are paramagnetic substances? Give examples.Preview
- Q7What are the consequences of Schottky defect?Preview
- Q8Cesium chloride crystallizes in cubic unit cell with $Cl^-$ ions at the corners and a $Cs^+$ ion in the centre of the cube. How many CsCl mo…Preview
- Q9Cu crystallizes in fcc unit cell with edge length of 495 pm. What is the radius of Cu atom?Preview
- Q10Obtain the relationship between density of a substance and the edge length of unit cell.Preview
Questions 4–14
+−Questions 4-1411 questions
- 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
- 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
- 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
- Q7How are tetrahedral and octahedral voids formed?Preview
- 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
- 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
- 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
- Q11Distinguish with the help of diagrams metal conductors, insulators and semiconductors from each other.Preview
- Q12What are n-type semiconductors? Why is the conductivity of doped n-type semiconductor higher than that of pure semiconductor? Explain with d…Preview
- Q13Explain with diagram, Frenkel defect. What are the conditions for its formation? What is its effect on density and electrical neutrality of…Preview
- 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 questionsHide questions28 questions
- Q1What is ferromagnetism? Iron (Z = 26) is strongly ferromagnetic. Explain.Preview
- 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
- Q3Iodine exists as _______. (a) polar molecular solid (b) ionic solid (c) non-polar molecular solid (d) hydrogen bonded molecular solidPreview
- 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
- Q5Calculate the percentage efficiency of packing in case of simple cubic cell.Preview
- 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
- Q7Ionic solids are hard and brittle. Explain.Preview
- 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
- Q9What is the ratio of octahedral holes to the number of anions in hexagonal closed packed structure?Preview
- Q10Define Anisotropy. Distinguish between crystalline solids and amorphous solids.Preview
- Q11The number of atoms per unit cell of body centred cube is: (a) 1 (b) 2 (c) 4 (d) 6Preview
- Q12Classify the following solids into different types: (A) Silver (B) $P_4$ (C) Diamond (D) NaClPreview
- 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
- Q14The co-ordination number of atoms in body centred cubic structure (bcc) is _____. (a) 4 (b) 6 (c) 8 (d) 12Preview
- Q15Write the consequences of Schottky defect with reasons.Preview
- Q16Explain metal deficiency defect with example. Write chemical equation for preparation of sulphur dioxide from sulphur. Write uses of sulphur…Preview
- Q17The relation between radius of sphere and edge length in body centered cubic lattice is given by formula: (a) $\sqrt{3}r = 4a$ (b) $r = \fra…Preview
- Q18Explain the following terms: (a) Substitutional impurity defect (b) Interstitial impurity defectPreview
- Q19Silver crystallizes in fcc structure. If edge length of unit cell is 400 pm, calculate density of silver (Atomic mass of Ag = 108). Write a…Preview
- Q20The number of particles present in Face Centred Cubic Unit Cell is/are _____. (a) 1 (b) 2 (c) 3 (d) 4Preview
- Q21Derive the relationship between molar mass, density of the substance and unit cell edge length.Preview
- Q22Predict the type of cubic lattice of a solid element having edge length of 400 pm and density is 6.25 g/ml (Atomic mass of element = 60). De…Preview
- Q23Schottky defect is NOT observed in _____. (a) NaCl (b) KCl (c) AgBr (d) NiOPreview
- Q24(a) An element with molar mass 27 g/mol forms a cubic unit cell with edge length 405 pm. If density of the crystal is 2.7 g cm$^{-3}$, ident…Preview
- 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
- Q26Copper has fcc structure with edge length 495 pm. What is the radius of copper atom in pm?Preview
- Q27Define: (a) Isomorphism (b) Unit CellPreview
- 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