Chemistry Tutorial "WHY?" link: space in an atom

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Chapter 1

The radius of a proton is approximately 10^-15 meters, which gives it a volume of: 4π(R³)/3 = 4.19x10^-30 m³.

The radius of the electron's orbit around the proton is approximately 5.29 x 10^-11 meters, which defines the radius of the atom. So the entire volume of the atom is about
4π(R³)/3 = 1.17x10^-20m³.

(1.17x10^-20 m³) / (4.19x10^-30 m³) = 2.80x10⁹.

The atom is 2.80x10⁹, or 2,800,000,000, times larger than its nucleus; the volume of the electron is negligible. There's a number that gives you an appreciation for how empty an atom actually is! It's about the same as the ratio of the volume of a pea to that of a large, two-story house.