19/06/2026
Quantum Numbers ⚛️
Ye 4 numbers hain jo atom mein har electron ka "address" batate hain. Jaise ghar ka address hota hai: Country, City, Street, House No.
4 Quantum Numbers*
Name Symbol Batata Hai Possible Values Example
**1. Principal** $n$ **Shell/Orbit** - Electron nucleus se kitna door hai $n = 1, 2, 3...$ $n=2$ → 2nd shell
**2. Azimuthal** $l$ **Subshell/Shape** - Orbital ki shape $l = 0$ to $n-1$ $l=0$ → s, $l=1$ → p, $l=2$ → d
**3. Magnetic** $m_l$ **Orientation** - Space mein orbital kis taraf hai $m_l = -l$ to $+l$ $l=1$ ke liye $m_l = -1, 0, +1$
**4. Spin** $m_s$ **Spin Direction** - Electron upar ghoom raha ya neeche $m_s = +\frac{1}{2}$ ya $-\frac{1}{2}$ ↑ ya ↓
# # # *Asaan Yaad Rakhne Ka Tareeka* 🧠
*n → l → m_l → m_s*
*S*hell → *S*hape → *O*rientation → *S*pin
# # # *Example: Carbon Ka Last Electron*
Carbon: $1s^2 2s^2 2p^2$
Last electron 2p mein hai:
Quantum Number Value Matlab
$n$ 2 2nd shell
$l$ 1 p orbital
$m_l$ -1, 0, ya +1 p_x, p_y, p_z mein se koi ek
$m_s$ +½ ya -½ Spin up ya down
# # # *2 Golden Rules* 📌
1. *Pauli Exclusion*: Ek atom mein 2 electron ke 4 quantum numbers same nahi ho sakte. Kam se kam spin alag hoga.
2. *Hund’s Rule*: Degenerate orbitals mein pehle sab mein 1-1 electron jayega same spin ke saath, phir pairing hogi.
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