We finally understood orbital shapes intuitively! (My mind is blown)

Support me   / floatheadphysics   to see how I learn relativity, get sneak peaks, and early video access. To try everything Brilliant has to offer—free—for a full 30 days, visit https://brilliant.org/FloatHeadPhysics . You’ll also get 20% off an annual premium subscription. Godfather Entropy T shirt links: Dark: https://floatheadphysics.com/products... Light: https://floatheadphysics.com/products... What exactly are atomic orbitals? And why do they have those shapes? 00:00 Cold Intro 00:56 Why does planetary model suck? 01:53 How to update and create a 3D atomic model 03:01 A powerful 1D analogy 06:06 Visualising the hydrogen's ground state 08:46 Probability density vs Radial Probability 10:00 What exactly is an orbital? (A powerful analogy) 12:15 A key tool to rediscover ideas intuitively 13:29 Visualising the first excited state 16:21 Why do p orbitals have dumbbell shape? 19:36 Radial nodes vs Angular nodes 20:30 Visualising the second excited state 21:58 Why do d orbitals have a double dumbbell shape? 24:11 Rediscovering the quantum numbers, intuitively! 27:25 Why are there 3 p orbitals, 5 d orbitals, and 7 f orbitals? (Hand wavy intuition) 30:09 Beyond the Schrödinger's equation This video is sponsored by Brilliant.org