Answered: At very low temperature, the de Broglie…

College Physics

10th Edition

ISBN:9781285737027

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter27: Quantum Physics

Section: Chapter Questions

Problem 45AP

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At very low temperature, the de Broglie wavelengths of the atoms in a gas can become larger than the distance between atoms, which leads to new states of matter. In an early study, a gas of ²³Na was cooled to 200 nK. What is the de Broglie wavelength of the sodium atoms at this temperature? To get a sense of scale, at everyday temperatures and pressures, the distance between air molecules is about 3 nm. How does the de Broglie wavelength compare to this distance? (The gas in the study was much more diffuse than this, but the atoms were close enough for some overlap.)

Definition Definition Substance that constitutes everything in the universe. Matter consists of atoms, which are composed of electrons, protons, and neutrons. Different atoms combine together to give rise to molecules that act as a foundation for all kinds of substances. There are five states of matter based on their energies of attraction: solid, liquid, gases, plasma, and BEC (Bose-Einstein condensates).

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