Solid State — Complete Handwritten Notes for NEET & JEE Main
Master the most scoring chapter of Class 12 Chemistry with topper-quality handwritten notes covering crystal lattices, unit cells, packing efficiency, defects, electrical & magnetic properties — all in one place.
📘 What's in the Syllabus? (JEE Main vs NEET)
Solid State is a high-weightage chapter in both NEET and JEE Main. While the core topics remain the same, JEE Main asks deeper numerical problems on unit cell calculations, whereas NEET focuses more on conceptual MCQs and direct formula-based questions. Let's compare both syllabi side by side:
🎯 JEE Main Syllabus
- Classification of solids — molecular, ionic, covalent, metallic
- Amorphous & crystalline solids (elementary idea)
- Bragg's Law and its applications
- Unit cell and lattices
- Packing in solids — fcc, bcc, hcp lattices
- Voids & calculations involving unit cell parameters
- Imperfections in solids
- Electrical & magnetic properties
🩺 NEET Syllabus
- Classification of solids based on binding forces
- Amorphous & crystalline solids (elementary idea)
- Unit cell in 2D and 3D lattices
- Density of unit cell calculations
- Packing in solids & packing efficiency
- Voids & number of atoms per unit cell
- Point defects
- Electrical & magnetic properties
- Band theory of metals, conductors, semiconductors, insulators
If you prepare this chapter for JEE Main, you automatically cover 95% of the NEET portion. Just add Band theory separately for NEET. So focus on numericals first — they'll pay off in both exams.
📌 Topics Covered in These Notes
Our handwritten notes are structured to cover every single sub-topic from NCERT Class 12 Chemistry Chapter 1. Here's a quick overview of what you'll find inside:
1. Classification of Solids
Solids are broadly classified into two main categories based on the arrangement of their constituent particles. Understanding this classification is the foundation of the entire chapter and forms the basis of most direct MCQs in NEET.
🔹 Amorphous vs Crystalline Solids
The first level of classification is based on the internal order of particles:
| Property | Crystalline Solids | Amorphous Solids |
|---|---|---|
| Shape | Definite geometric shape | Irregular shape |
| Melting Point | Sharp melting point | Melts over a range of temperatures |
| Arrangement | Long-range order | Short-range order only |
| Nature | True solids | Pseudo solids / supercooled liquids |
| Anisotropy | Anisotropic | Isotropic |
| Examples | NaCl, diamond, ice, quartz | Glass, rubber, plastics |
Amorphous solids are also called supercooled liquids because they have a tendency to flow (very slowly). This is why old window panes are slightly thicker at the bottom — glass has flowed over centuries!
🔹 Classification Based on Binding Forces
Crystalline solids are further classified into four types based on the nature of the forces holding the particles together:
| Type | Constituent Particles | Binding Force | Examples | Properties |
|---|---|---|---|---|
| Molecular | Molecules | Van der Waals / H-bonding | Ice, solid CO₂, I₂ | Soft, low melting point, insulators |
| Ionic | Ions | Coulombic force | NaCl, MgO, CaF₂ | Hard, brittle, high MP, conduct in molten state |
| Metallic | Metal ions + free electrons | Metallic bonding | Fe, Cu, Ag, Au | Malleable, ductile, good conductors |
| Covalent / Network | Atoms | Covalent bonds | Diamond, SiO₂, SiC | Very hard, high MP, insulators (except graphite) |
Students often confuse graphite as an insulator. Remember — graphite is a covalent solid that conducts electricity due to the presence of free delocalised electrons between its layers. This is a favourite NEET trap!
2. Crystal Lattices & Unit Cells
A crystal lattice is the regular three-dimensional arrangement of points in space, where each point represents the position of a constituent particle (atom, ion or molecule). The unit cell is the smallest repeating unit that, when stacked together, generates the entire crystal.
🔹 7 Crystal Systems & 14 Bravais Lattices
Based on the edge lengths (a, b, c) and angles (α, β, γ), crystals are divided into 7 crystal systems, which further give 14 Bravais lattices.
| Crystal System | Edge Lengths | Angles | Examples |
|---|---|---|---|
| Cubic | a = b = c | α = β = γ = 90° | NaCl, Cu, diamond |
| Tetragonal | a = b ≠ c | α = β = γ = 90° | SnO₂, TiO₂ |
| Orthorhombic | a ≠ b ≠ c | α = β = γ = 90° | KNO₃, rhombic sulphur |
| Hexagonal | a = b ≠ c | α = β = 90°, γ = 120° | Graphite, ZnO |
| Rhombohedral | a = b = c | α = β = γ ≠ 90° | Calcite, cinnabar |
| Monoclinic | a ≠ b ≠ c | α = γ = 90°, β ≠ 90° | Monoclinic sulphur, Na₂SO₄ |
| Triclinic | a ≠ b ≠ c | α ≠ β ≠ γ ≠ 90° | K₂Cr₂O₇, CuSO₄·5H₂O |
🔹 Three Types of Cubic Unit Cells
For NEET and JEE Main, the cubic system is the most important. There are three types of cubic unit cells you must know by heart:
| Property | Simple Cubic (SCC) | Body-Centred Cubic (BCC) | Face-Centred Cubic (FCC) |
|---|---|---|---|
| Atoms at | 8 corners | 8 corners + 1 body centre | 8 corners + 6 face centres |
| Atoms per unit cell (Z) | 8 × ⅛ = 1 | (8 × ⅛) + 1 = 2 | (8 × ⅛) + (6 × ½) = 4 |
| Relation of a & r | a = 2r | a = 4r/√3 | a = 2r√2 |
| Packing Efficiency | 52.4% | 68% | 74% (maximum) |
| Coordination Number | 6 | 8 | 12 |
| Voids per atom | — | 1 octahedral + 3 tetrahedral | 1 octahedral + 2 tetrahedral |
| Examples | Po | Na, K, Fe, Cr, W | Cu, Ag, Au, Al, NaCl |
🧮 Must-Know Formulas
- 📐
a = 2r→ Simple cubic relation between edge length & radius - 📐
a = 4r/√3→ BCC relation - 📐
a = 2r√2→ FCC relation - 📦
Density (ρ) = (Z × M) / (a³ × Nₐ)→ where Z = atoms/cell, M = molar mass, Nₐ = Avogadro's number - 🔢
Packing Efficiency = (Volume of atoms / Volume of unit cell) × 100 - 🕳️
Number of tetrahedral voids = 2N(where N = number of atoms) - 🕳️
Number of octahedral voids = N
3. Packing in Solids
The way spheres (atoms/ions) are arranged in a solid determines its packing efficiency. There are three important types of close packing you must understand:
"ABAB = HCP (Hexagonal), ABCABC = FCC (Cubic)" — remember the pattern of layers. HCP has Mg, Zn examples while FCC has Cu, Ag, Au. Both have 74% efficiency and coordination number 12.
4. Voids in Close-Packed Structures
When spheres are packed closely, empty spaces are left between them. These empty spaces are called voids or interstitial sites. There are two main types:
| Property | Tetrahedral Void | Octahedral Void |
|---|---|---|
| Shape | Tetrahedral (4 spheres) | Octahedral (6 spheres) |
| Coordination | 4 | 6 |
| Size (radius ratio) | r/R = 0.225 | r/R = 0.414 |
| Number (if N atoms) | 2N | N |
| Location in FCC | At ¼ of body diagonal | At body centre & edge centres |
If a crystal has N atoms forming close packing → Tetrahedral voids = 2N and Octahedral voids = N. Total voids = 3N. This is the most frequently asked direct formula in NEET!
5. Bragg's Law & Its Applications
Bragg's Law explains how X-rays are diffracted by crystal planes. It's the foundation of X-ray crystallography, used to determine crystal structures.
📐 Bragg's Equation
- 🔬
nλ = 2d sinθ - Where:
n= order of diffraction (1, 2, 3...) λ= wavelength of X-rayd= distance between crystal planesθ= angle of incidence (and reflection)
Applications of Bragg's Law:
6. Imperfections (Defects) in Solids
Real crystals are never perfect — they contain defects that significantly affect their electrical, optical and mechanical properties. Defects are broadly classified as:
🔹 Point Defects (Most Important for Exams)
| Defect Type | What Happens | Effect on Density | Examples |
|---|---|---|---|
| Vacancy Defect | Atom missing from lattice site | Density decreases | — |
| Interstitial Defect | Extra atom occupies interstitial site | Density increases | — |
| Schottky Defect | Equal number of cations & anions missing | Density decreases | NaCl, KCl, AgBr (partly) |
| Frenkel Defect | Ion moves to interstitial site | Density remains same | AgCl, AgBr, ZnS |
| Metal Excess (Anionic vacancy) | Electron occupies anion vacancy → F-centre | Crystal becomes coloured | NaCl (yellow), KCl (violet), LiCl (pink) |
| Metal Deficiency | Less metal than ideal stoichiometry | — | FeO (some Fe²⁺ → Fe³⁺) |
AgBr shows both Schottky AND Frenkel defects — this is a classic NEET/JEE question! Also, F-centres are responsible for the colour in ionic crystals (e.g., heated NaCl turns yellow due to F-centres).
7. Electrical Properties of Solids
Based on electrical conductivity, solids are classified into three categories:
| Type | Conductivity (σ) | Resistivity (ρ) | Band Gap | Examples |
|---|---|---|---|---|
| Conductors | 10⁴ – 10⁸ S/m | 10⁻⁸ – 10⁻⁴ Ω·m | Zero overlap | Cu, Ag, Fe |
| Semiconductors | 10⁻⁶ – 10⁴ S/m | 10⁻⁴ – 10⁶ Ω·m | Small gap (~1 eV) | Si, Ge, GaAs |
| Insulators | 10⁻²⁰ – 10⁻¹⁰ S/m | 10¹⁰ – 10²⁰ Ω·m | Large gap (>5 eV) | Diamond, rubber |
🔹 n-type & p-type Semiconductors
8. Magnetic Properties of Solids
Based on their response to a magnetic field, solids are classified into five types:
| Type | Behaviour in Magnetic Field | Unpaired Electrons | Examples |
|---|---|---|---|
| Paramagnetic | Weakly attracted | Has unpaired e⁻ | O₂, Cu²⁺, Fe³⁺ |
| Diamagnetic | Weakly repelled | All paired e⁻ | NaCl, C₆H₆, H₂O |
| Ferromagnetic | Strongly attracted, permanent magnet | Domains align parallel | Fe, Co, Ni, CrO₂ |
| Antiferromagnetic | Domains align anti-parallel → net zero | Equal & opposite | MnO, MnO₂ |
| Ferrimagnetic | Domains anti-parallel but unequal → small net | Unequal & opposite | Fe₃O₄, MgFe₂O₄ |
Ferromagnetic → Fe, Co, Ni (remember "Fe-Co-Ni" like a name). CrO₂ is used in magnetic tapes for recording. When heated above Curie temperature, ferromagnetic substances become paramagnetic.
🎯 Frequently Asked PYQs from Solid State
- Formula of compound with FCC void occupancy NEET 2024
- Density calculation of BCC unit cell JEE Main 2024
- Schottky vs Frenkel defect difference NEET 2023
- Packing efficiency of FCC JEE Main 2023
- Number of atoms in unit cell NEET 2022
- F-centre colour explanation JEE Main 2022
- Relation between a & r in BCC NEET 2021
- n-type vs p-type semiconductors JEE Main 2021
- Magnetic property of Fe₃O₄ NEET 2020
- Bragg's Law numerical JEE Main 2019
❌ Common Mistakes Students Make
📥 Download Complete Solid State Handwritten Notes
Get the full PDF with all diagrams, solved examples, PYQs and formula sheets — perfect for last-minute revision before NEET or JEE Main.
⬇️ Download Full PDF Now
❓ Frequently Asked Questions
Yes! These notes cover 100% of the NCERT syllabus for Solid State, plus additional numericals and PYQs. For JEE Advanced, you may need to practice extra problems separately.
On average, 2-3 questions come from Solid State in NEET every year. In JEE Main, expect 1-2 questions. Most are formula-based or conceptual, making this a high-scoring chapter.
Solid State carries about 4-5 marks in board exams and is a favourite topic for competitive exams. It's a short chapter but high-scoring if prepared well.
Unit cell calculations, packing efficiency, and defects are the most frequently asked topics. Master these three and you'll score full marks in this chapter.
Yes! Click the download button above to get the complete PDF version of Solid State handwritten notes. It's completely free and works offline.
🎓 Final Thoughts
Solid State is one of the most scoring chapters in Class 12 Chemistry. With a little effort, you can easily secure full marks from this chapter in both NEET and JEE Main. The key is to memorise the formulas, understand the crystal structures visually, and practice at least 20 numericals from unit cell calculations.
Our Class 12 Chemistry Chapter-1 Solid State Handwritten Notes are designed exactly keeping this strategy in mind — concise, to-the-point, and exam-focused. Whether you're revising a day before the exam or studying the chapter for the first time, these notes will help you save time and score more.
Day 1: Read classification & crystal lattices → Day 2: Master unit cell calculations & packing → Day 3: Defects, electrical & magnetic properties → Day 4: Solve 30+ PYQs & mock questions. Follow this 4-day plan and you'll master the chapter!
📚 Explore More Notes:
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