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The hydrogen atom, as with all atoms, consists of a nucleus surrounded by electrons. The nucleus is incredibly small, particularly in comparison to the overall size of the atom. This means it makes up only a tiny fraction of the atom's volume, even though it contains the majority of its mass. The structure of atoms has been a crucial area of study in physics and chemistry, helping us to understand how matter forms and interacts.
At the heart of the hydrogen atom is a single proton, which constitutes its nucleus. This proton carries a positive electrical charge. Surrounding the nucleus is a single electron, which carries a negative charge. This electron is usually found in an area around the nucleus known as the electron cloud. The space the electron occupies is vastly larger than the nucleus itself, meaning the atom is predominantly empty space. The behavior and interaction of these subatomic particles define the hydrogen atom's chemical characteristics and interactions.

To calculate the volume of spherical objects, such as atoms or nuclei, we use the formula:

• \( V = \frac{4}{3} \pi r^3 \)

This formula considers the radius of the sphere and gives us the measure of how much space it occupies. For example, when calculating the volume of the hydrogen atom as a whole, we start by using its radius, approximately \( 5.3 \times 10^{-11} \text{m} \). Plugging this value into the formula gives us the atom's volume:

• \( V_{\text{atom}} \approx 6.24 \times 10^{-31} \text{ m}^3 \)

When calculating for the nucleus, the radius is much smaller, \( 1 \times 10^{-15} \text{ m} \), which when substituted gives:

• \( V_{\text{nucleus}} \approx 4.19 \times 10^{-45} \text{ m}^3 \)

The vast difference in size highlights how much more space the electron cloud occupies compared to the nucleus. Using these calculations, we also find the percentage of the atom's volume occupied by the nucleus, which is extremely small, indicating the atom's composition being mainly empty space.

The nucleus of an atom is the core that contains protons and neutrons. In the case of a hydrogen atom, its nucleus is incredibly simple, consisting of just a single proton. This makes hydrogen the simplest chemical element. Despite its small size, the nucleus is dense and carries most of the atom's mass.
In the context of our hydrogen atom, the nucleus’s volume is extremely tiny compared to the atom's overall volume. Even though the radius of the hydrogen atom is around \( 5.3 \times 10^{-11} \text{ m} \), its nucleus is much smaller, around \( 1 \times 10^{-15} \text{ m} \). This means the nucleus occupies a minuscule fraction of the atom's volume. When we calculated using the volume formulas earlier, we found that the nucleus occupies about \( 6.71 \times 10^{-13}\% \) of the atom's total volume. This showcases a fundamental aspect of atomic structure: most of the atom is empty space, with its mass localized in the nucleus. This characteristic is central to understanding the behavior of materials at the atomic level.