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I know what orbitals are. The orbitals are solutions (also called wave functions) to the (time-independent) Schrödinger equation[ref].

What I don't understand is why p,d,f orbitals have non spherical and s has a spherical shape. Our universe is made up of many circular or spherically (not perfect) shaped objects like stars, planets, bubbles, droplets, wheels etc. I always thought (or guessed) circular and spherical shapes are the most efficient shapes in our universe. Then why p,d and f have non-spherical shapes or non efficient? Is there any other logic other than solution to Schrodinger equation which explains these unique shapes?

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marked as duplicate by jerepierre, Todd Minehardt, hBy2Py, M.A.R., Jon Custer Mar 17 '16 at 20:17

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