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Revision: Class 12 >> Solid State NEET (UG) Solid State

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Definitions [13]

Define matter

Anything that has mass and occupies space is called matter.

Define interconversion of states of matter.

The process by which matter changes from one state to another and back to the original state, without any change in its chemical composition.

Define the term ‘amorphous’.

The solids which do not possess the repeating ordered arrangement of atoms or ions are called amorphous solids.

Define unit cell.

A basic repeating structural unit of a crystalline solid is called a unit cell.

Define Anisotropy.

The ability of crystalline solids to change values of physical properties when measured in different directions is called anisotropy.

Definition: Packing Efficiency

Packing efficiency is the ratio of volumes occupied by atoms in unit cell to the total volume of the unit cell. It is also known as the packing fraction or the density of packing.

Definition: Extrinsic Semiconductor

A doped semiconductor, having higher conductivity than a pure intrinsic semiconductor, is an extrinsic semiconductor.

Definition: Intrinsic Semiconductor

A pure semiconductor with very low but finite electrical conductivity is called an intrinsic semiconductor.

Definition: Doping

The process by which impurities are introduced into semiconductors to enhance their conductivity is called doping.

Definition: Extrinsic Semiconductor

A doped semiconductor, having higher conductivity than a pure intrinsic semiconductor, is an extrinsic semiconductor.

Definition: Intrinsic Semiconductor

A pure semiconductor with very low but finite electrical conductivity is called an intrinsic semiconductor.

Definition: Doping

The process by which impurities are introduced into semiconductors to enhance their conductivity is called doping.

Define the following term:

Ferromagnetism

Ferromagnetism is defined as the phenomenon in which substances, such as iron, cobalt and nickel, are strongly attracted by a magnetic field. Such substances are called ferromagnetic substances.

Formulae [1]

Formula: Packing Fraction or Packing Efficiency

Packing fraction or Packing efficiency = \[\frac{\text{Total volume of spheres}}{\text{Volume of the unit cell}}\times100\]

Theorems and Laws [2]

Name the law or principle to which the following observations confirm:

When 9650 coulombs of electricity is passed through a solution of copper sulphate, 3.175 g of copper is deposited on the cathode (at. wt. of Cu = 63.5).

Faraday’s first law of electrolysis: The mass of a substance deposited or liberated at an electrode is directly proportional to the quantity of electricity passed through the electrolyte.

Given: Charge passed = 9650 C

Atomic mass of Cu = 63.5

Valency of Cu in CuSO4 = 2

Equivalent mass of Cu = `63.5/2` = 31.75

Now, Mass deposited = `9650/96500 xx 31.75`

= 0.1 × 31.75

= 3.175 g

Name the law or principle to which the following observations confirm:

When 9650 coulombs of electricity is passed through a solution of copper sulphate, 3.175 g of copper is deposited on the cathode (at. wt. of Cu = 63.5).

Faraday’s first law of electrolysis: The mass of a substance deposited or liberated at an electrode is directly proportional to the quantity of electricity passed through the electrolyte.

Given: Charge passed = 9650 C

Atomic mass of Cu = 63.5

Valency of Cu in CuSO4 = 2

Equivalent mass of Cu = `63.5/2` = 31.75

Now, Mass deposited = `9650/96500 xx 31.75`

= 0.1 × 31.75

= 3.175 g

Key Points

Key Points: States of Matter
Property Solid Liquid Gas
Mean molecular separation ~3–5 Å ~3–10 Å >5 Å
Particle arrangement Tightly packed, regular Loosely packed, irregular Highly irregular
Particle movement Fixed positions, cannot move freely Moves a small distance within liquid Continuous random motion
Shape & volume Definite shape and volume Takes shape of container, definite volume Takes shape and volume of container
Intermolecular space Very small Moderate Large
Effect of temperature Small volume change Moderate volume change Significant volume change
Compressibility Practically incompressible Slightly compressible Highly compressible
Example A piece of iron Water, spirit, oil Air
Key Points: Classification of Crystalline Solids
Property Ionic Solids Covalent Network Solids Molecular Solids Metallic Solids
Particles Cations and anions Covalently bonded atoms Mono/polyatomic molecules Metal ions in a sea of electrons
Forces Electrostatic Covalent bonds London, dipole-dipole, H-bonding Metallic bonds
Hardness Hard and brittle Very hard Soft Soft to very hard
Melting point 600–3000°C 1200–4000°C Low (−272 to 400°C) −39 to 3400°C
Conductivity Poor (solid); good (molten/aqueous) Poor (except graphite; diamond conducts heat) Poor Good conductor of heat and electricity
Examples NaCl, CaF₂ Diamond, silica Ice, benzoic acid Na, Mg, Cu, Au
Key Points: Electrical Properties of Solids

Solids are classified into three groups based on conductivity:

Type Conductivity (Ohm⁻¹ m⁻¹) Band Gap Reason Examples
Metallic conductors 10⁴ – 10⁷ (very high) No band gap (overlapping s & p bands) Motion of electrons Cu, Al, Ag
Insulators 10⁻²⁰ – 10⁻¹⁰ (very low) Large (forbidden zone) Electrons cannot cross Diamond, wood, rubber
Semiconductors 10⁻⁶ – 10⁴ (moderate) Small Motion of interstitial electrons/holes Si, Ge
 

Conductivity of metals decreases with increase in temperature; conductivity of semiconductors increases with temperature.

Key Points: Electrical Properties of Solids

Solids are classified into three groups based on conductivity:

Type Conductivity (Ohm⁻¹ m⁻¹) Band Gap Reason Examples
Metallic conductors 10⁴ – 10⁷ (very high) No band gap (overlapping s & p bands) Motion of electrons Cu, Al, Ag
Insulators 10⁻²⁰ – 10⁻¹⁰ (very low) Large (forbidden zone) Electrons cannot cross Diamond, wood, rubber
Semiconductors 10⁻⁶ – 10⁴ (moderate) Small Motion of interstitial electrons/holes Si, Ge
 

Conductivity of metals decreases with increase in temperature; conductivity of semiconductors increases with temperature.

Key Points: Magnetic Properties of Solids

Motion of electrons generates a magnetic field — each electron behaves like a tiny bar magnet with a magnetic moment measured in Bohr Magneton (μ_B) = 9.27 × 10⁻²⁴ A m².

Type Nature Electron Configuration Examples
Diamagnetic Weakly repelled by magnetic field; magnetised in opposite direction All electrons paired NaCl, H₂O, N₂, C₆H₆, F₂, benzene
Paramagnetic Weakly attracted by magnetic field; magnetised in same direction Unpaired electrons; lose magnetism when field removed O₂, Cu²⁺, Fe³⁺, Cr³⁺
Ferromagnetic Strongly attracted; can be permanently magnetised (all domains align in field direction) Unpaired electrons + aligned domains Fe, Co, Ni, Gd, CrO₂
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