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The "shape" of an electron cloud is the surface of equal probability for electrons of a given energy. The shapes can be calculated from the Schrödinger equation. Being quantum phenomena, the identified shape is actually a probability cloud defining the volume within which 50% of the electrons will be found, the other 50% of the electrons will be found outside that cloud. Electron clouds have many different strange shapes.

The simplest electron clouds are the clouds for the s orbitals, which are spherical - so in that case - no, the s-orbital electron cloud is NOT shaped like a drop (although you would expect the nucleus to be at its center)

There are three perpendicular electron clouds for the p orbitals, which are roughly hourglass shaped - or, if you will, two blobs that mirror each other across the nucleus - not exactly drop shaped.

The five electron clouds for the d orbitals and the seven electron clouds for the f orbitals become progressively harder to describe in words but all have portions that could be described as "tear-drop" shaped with the narrow end pointing towards the nucleus.

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