Electron Wavelength and Hydrogen Atom Structure

EasyChair Preprint 11189

Abstract

This research explores the intricate relationship between the de Broglie wavelength of an electron and the fundamental components of atomic hydrogen, namely the nucleus and proton. We delve into the implications of this relationship for the understanding of atomic structure. With the nucleus and proton both measuring approximately 1 femtometer (1 fm), and the de Broglie wavelength of an electron at roughly 0.1 nanometers (0.1 nm), we examine the minute differences between these sizes.

Our findings reveal that the de Broglie wavelength of an electron is just shy of the size of the nucleus and proton in atomic hydrogen, signifying that the electron's core cannot approach the nucleus. Furthermore, we discuss the effect of electron energy changes on its de Broglie wavelength and the resulting alterations in electron orbits. This research sheds light on the wave-particle duality of electrons and its impact on atomic structure, providing valuable insights into the behavior of electrons in the microscopic world.

Keyphrases: Atomic hydrogen, De Broglie wavelength, Electron behavior, Energy dependent orbits, Nucleus size

@booklet{EasyChair:11189,
  author    = {Soumendra Nath Thakur},
  title     = {Electron Wavelength and Hydrogen Atom Structure},
  howpublished = {EasyChair Preprint 11189},
  year      = {EasyChair, 2023}}