Introduction
The wave nature of electrons plays a crucial role in the construction of modern microscopes. Different types of microscopes are used for different purposes. In this response, we will discuss the types of microscopes that utilize the wave nature of electrons.

Electron Microscopes
Electron microscopes use a beam of electrons instead of light to produce images. These microscopes have a higher resolution than light microscopes because electrons have a shorter wavelength than visible light. The shorter wavelength of electrons allows for greater magnification and resolution.

Transmission Electron Microscopes
Transmission electron microscopes (TEMs) use a beam of electrons that pass through a thin sample. As the electrons pass through the sample, they interact with the atoms in the sample and are scattered. The scattered electrons are then collected by a detector and used to produce an image. The wave nature of electrons plays a crucial role in the scattering process. The interference of the scattered electrons produces a complex diffraction pattern that contains information about the structure of the sample.

Scanning Electron Microscopes
Scanning electron microscopes (SEMs) use a beam of electrons that scan across the surface of a sample. As the electrons scan across the sample, they interact with the atoms in the sample and produce secondary electrons. The secondary electrons are then collected by a detector and used to produce an image. The wave nature of electrons plays a crucial role in the interaction process. The interference of the electrons produces a complex signal that contains information about the topography of the sample.

Conclusion
In conclusion, the wave nature of electrons is used in the construction of electron microscopes. The shorter wavelength of electrons allows for greater magnification and resolution. The wave nature of electrons also plays a crucial role in the scattering and interaction processes that produce images in TEMs and SEMs.