I am currently doing my lab report on the Wave Particle Duality experiment from my physics class, which includes using the diffraction tube to figure out the latice spacing. I need to write the introduction, which needs to have real life application. I have searched about it on the web but unfortunately have yet to come across any real life applications, may you suggest any, please?

Experiment W: Wave-Particle Duality In this experiment you will observe electrons that are acting as waves - they are diffracted by crystals of graphite and form a diffraction (interference) pattern. BEWARE: This experiment uses a high voltage power supply. The power supply and electron tube should be connected correctly when you arrive in the lab. Before you turn the power supply on, check that all wires are plugged in fully. If you are unsure. please ask your demonstrator. Never remove any wires while the power supply is on. 14.1 Background According to quantum mechanics, 3 particle has a wavelength, known as the de Broglie wavelength, which is inversely proportional to the momentum. This means that small particles can act in a wave-like manner. Figure W.1 shows a diagram of the electron diffraction tube which you will use for this experiment. In the diffraction tube, electrons are generated at the heated filament and focused in a narrow beam through the aperture in the Wehnelt cylinder (see diagram). They are then accelerated towards the anode, and focused onto the thin graphite film (the film is only a few atoms deep). Diffraction occurs because graphite is crystalline: it has layers of atoms arranged in a very orderly structure with regular spacings, and because the de Broglie wavelengths of the electrons in this experiment are in the correct range to allow waves reflected from successive layers to interfere with each other. The reflected waves produce constructive interference over a range of angles according to Bragg's Law, giving rise to a diffraction pattern that can be observed by using a fluorescent screen that glows when electrons strike it. The aim of the experiment to is to investigate how the spacing of the rings in the electron diffraction pattern depend on the accelerating voltage in the diffraction tube and therefore how the electron wavelength depends on its momentum. In the electron diffraction tube, the momentum of the electrons is controlled by varying the anode voltage V. The energy, E, gained by a particle with a charge of q that is accelerated through a voltage V is given by E : (W. In this case q is the electron charge, e and the energy gained is equal to the kinetic energy, so 1 2 eV 2 Emu where m is the mass of the electron and v is its velocity. Since the momentum of a particle is equal to its mass multiplied by its velocity, p = mv, equation (W.l) can be expressed as: (W.1) p2 Rearranging equation (W2) gives an equation for the momentum of a particle of mass m and charge e that is accelerated through a potential difference, V: 56