1.3.3 · HinglishMaterials & Atomic Structure

Covalent bonding in silicon crystals

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1.3.3 · Hardware › Materials & Atomic Structure


1. Covalent bonding HAI kya?

Silicon is tarah bond kyun karta hai? Silicon ka atomic number hai, electron configuration hai. Iska valence shell () 4 valence electrons rakhta hai. Ek poora outer shell 8 electrons chahta hai (octet). Silicon bilkul aadhe mein hai: yeh na asaani se 4 electrons de sakta hai (bahut zyada energy lagegi) na le sakta hai (bahut zyada energy lagegi). To poore shell ka sabse sasta rasta hai share karna — har atom apna ek electron 4 neighbours mein se har ek ke saath share karta hai, jisse har atom ko electrons milte hain.


2. Crystal KAISE banta hai

Figure — Covalent bonding in silicon crystals

Har Si atom ek tetrahedron ke centre mein baitha hota hai, corners ki taraf point karte 4 neighbours se bonded. Yeh endlessly repeat hota hai → diamond cubic lattice.

  • Coordination number = 4 (har atom ke 4 nearest neighbours hain).
  • Bond angle = 109.5° (tetrahedral angle).
  • Har valence electron 0 K par ek bond mein locked hai → koi free carriers nahi → silicon absolute zero par insulator hai.

3. Silicon conduct KYUN kar sakta hai (bonds tootna)

Intrinsic idea scratch se derive karna: agar ek bond todne ke liye chahiye, to tote hue bonds (free electrons) ki sankhya temperature ke saath steeply badhti hai, Boltzmann statistics follow karte hue: 2 kyun hai? Ek bond todne se ek pair banta hai (electron + hole), aur energy exponent mein dono carrier populations mein split ho jaati hai — yeh electron-hole system ki free energy minimize karke derive hoti hai (mass-action law ).


4. Worked examples


5. Common mistakes


6. Flashcards

Silicon mein kitne valence electrons hote hain?
4
Crystal mein silicon ka coordination number kya hai?
4 (tetrahedral, har neighbour ke saath ek bond)
Silicon ionically ki bajaye covalently bond kyun karta hai?
4 valence electrons ke saath, 4 dena ya lena bahut zyada energy leta hai; octet reach karne ke liye sharing sabse sasti hai.
Crystal mein har Si atom ke outer shell mein kitne electrons bharte hain?
8 (apne 4 + neighbours se 4 shared)
300 K par silicon ka band gap kya hai?
≈ 1.12 eV
Silicon 0 K par insulator kyun hai?
Saare valence electrons covalent bonds mein locked hain; koi free carriers exist nahi karte.
Silicon mein covalent bond tootne par kya banta hai?
Ek free electron AUR ek hole (ek electron–hole pair)
Hole kya hai aur kya yeh current carry karta hai?
Ek missing bonded electron; yeh mobile positive charge ki tarah behave karta hai aur current carry karta hai.
Intrinsic carrier concentration ki temperature dependence?
— T ke saath steeply badhti hai.
Diamond insulator kyun hai lekin silicon semiconductor, jabki bonding identical hai?
Diamond ka bahut bada band gap (~5.5 eV) room temperature par bond-breaking practically impossible bana deta hai.
Crystalline silicon kaun sa lattice structure banata hai?
Diamond cubic, 109.5° tetrahedral bond angles ke saath.

Recall Feynman: ek 12-saal ke bacche ko explain karo

Socho 4 doston ke paas aur tumhare paas bhi ek haath free hai. Safe feel karne ke liye (tumhare aas-paas "8 haathon ki poori team"), tum 4 neighbours se haath milate ho — tum ek haath dete ho, woh ek haath dete hain, aur sab complete feel karte hain. Yahi haath milana covalent bond hai. Jab thanda hota hai, sab tight pakad ke rakhte hain aur koi move nahi kar sakta → bijli nahi. Jab garmi badhti hai, kuch haath choot jaate hain, aur woh azaad haath (electrons) doorne laga jaate hain → ab bijli flow karti hai. Peeche chhodi gayi khali jagah (ek hole) bhi "move" karti lagti hai jab doost usse bharne ke liye shuffle karte hain. Yahi beech-beech ka behaviour — thanda hone par locked, garam hone par free — silicon ko ek semiconductor banata hai, computer chips mein switches ke liye perfect.

Connections

Concept Map

has

halfway to

cheapest route is

each atom shares with

arranged as

repeats into

all bonds full

no free carriers

thermal energy >= Eg

energy to break bond

enables conduction

in-between size gives

Silicon Z=14

4 valence electrons

Full shell needs 8

Covalent bond: share pair

4 neighbours

Tetrahedral lattice

Diamond cubic crystal

Electrons locked at 0 K

Insulator at 0 K

Band gap Eg approx 1.12 eV

Free electron + hole

Semiconductor behaviour