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- https://chem.libretexts.org/Courses/DePaul_University/Physical_Chemistry_for_Biological_Sciences/04%3A_The_Particle_in_a_Box/4.01%3A_The_Energy_of_a_Particle_in_a_Box_is_QuantizedThe particle in the box model system is the simplest non-trivial application of the Schrödinger equation, but one which illustrates many of the fundamental concepts of quantum mechanics.
- https://chem.libretexts.org/Bookshelves/General_Chemistry/General_Chemistry_Supplement_(Eames)/Quantum_Chemistry/Discovery_of_QuantizationHe assumed that the lines in the spectrum come from electrons moving from one stable orbit to another, and the wavelength of the light emitted equals the energy difference of the orbits.
- https://chem.libretexts.org/Courses/Los_Angeles_Trade_Technical_College/Foundations_of_Introductory_Chemistry-1/1.09%3A_Electronic_Structure/11.2%3A_Quantum_Numbers_for_ElectronsElectrons in atoms have quantized energies. The state of electrons in atoms is described by four quantum numbers.
- https://chem.libretexts.org/Courses/University_of_Kansas/CHEM_130%3A_General_Chemistry_I_(Sharpe_Elles)/03%3A_Electronic_Structure_and_Periodic_Properties/3.02%3A_The_Bohr_ModelBohr incorporated Planck’s and Einstein’s quantization ideas into a model of the hydrogen atom that resolved the paradox of atom stability and discrete spectra. The Bohr model of the hydrogen atom exp...Bohr incorporated Planck’s and Einstein’s quantization ideas into a model of the hydrogen atom that resolved the paradox of atom stability and discrete spectra. The Bohr model of the hydrogen atom explains the connection between the quantization of photons and the quantized emission from atoms. Bohr described the hydrogen atom in terms of an electron moving in a circular orbit about a nucleus. He postulated that the electron was restricted to certain orbits characterized by discrete energies.
- https://chem.libretexts.org/Courses/SUNY_Schenectady_County_Community_College/113_Fundamentals_of_Chemistry/05%3A_Electronic_Structure/5.03%3A_Quantum_Numbers_for_ElectronsElectrons in atoms have quantized energies. The state of electrons in atoms is described by four quantum numbers.
- https://chem.libretexts.org/Courses/CSU_San_Bernardino/CHEM_2100%3A_General_Chemistry_I_(Mink)/06%3A_Electronic_Structure_and_Periodic_Properties/6.03%3A_The_Bohr_ModelBohr incorporated Planck’s and Einstein’s quantization ideas into a model of the hydrogen atom that resolved the paradox of atom stability and discrete spectra. The Bohr model of the hydrogen atom exp...Bohr incorporated Planck’s and Einstein’s quantization ideas into a model of the hydrogen atom that resolved the paradox of atom stability and discrete spectra. The Bohr model of the hydrogen atom explains the connection between the quantization of photons and the quantized emission from atoms. Bohr described the hydrogen atom in terms of an electron moving in a circular orbit about a nucleus. He postulated that the electron was restricted to certain orbits characterized by discrete energies.
- https://chem.libretexts.org/Courses/Widener_University/CHEM_145%3A_FA22_Van_Bramer/07%3A_Electronic_Structure_and_Periodic_Properties/7.02%3A_The_Bohr_ModelBohr incorporated Planck’s and Einstein’s quantization ideas into a model of the hydrogen atom that resolved the paradox of atom stability and discrete spectra. The Bohr model of the hydrogen atom exp...Bohr incorporated Planck’s and Einstein’s quantization ideas into a model of the hydrogen atom that resolved the paradox of atom stability and discrete spectra. The Bohr model of the hydrogen atom explains the connection between the quantization of photons and the quantized emission from atoms. Bohr described the hydrogen atom in terms of an electron moving in a circular orbit about a nucleus. He postulated that the electron was restricted to certain orbits characterized by discrete energies.
- https://chem.libretexts.org/Courses/Grinnell_College/CHM_364%3A_Physical_Chemistry_2_(Grinnell_College)/02%3A_The_Classical_Wave_Equation/2.04%3A_The_General_Solution_is_a_Superposition_of_Normal_ModesSince the wave equation is a linear differential equations, the Principle of Superposition holds and the combination two solutions is also a solution.
- https://chem.libretexts.org/Courses/Los_Angeles_Trade_Technical_College/Chem_51/1.11%3A_Electronic_Structure/11.02%3A_Quantum_Numbers_for_ElectronsElectrons in atoms have quantized energies. The state of electrons in atoms is described by four quantum numbers.
- https://chem.libretexts.org/Courses/Pacific_Union_College/Quantum_Chemistry/02%3A_The_Classical_Wave_Equation/2.04%3A_The_General_Solution_is_a_Superposition_of_Normal_ModesSince the wave equation is a linear differential equations, the Principle of Superposition holds and the combination two solutions is also a solution.
- https://chem.libretexts.org/Bookshelves/Physical_and_Theoretical_Chemistry_Textbook_Maps/Physical_Chemistry_(LibreTexts)/03%3A_The_Schrodinger_Equation_and_a_Particle_in_a_Box/3.05%3A_The_Energy_of_a_Particle_in_a_Box_is_QuantizedThis page explores the particle-in-a-box model, illustrating fundamental quantum concepts like quantized energy levels and wavefunction properties. It discusses the normalized form of eigenfunctions, ...This page explores the particle-in-a-box model, illustrating fundamental quantum concepts like quantized energy levels and wavefunction properties. It discusses the normalized form of eigenfunctions, highlighting symmetry in probability density and increasing nodes with energy levels. The significance of orthogonality among eigenstates is emphasized, as well as characteristics of wavefunctions, such as real properties and inner products confirming orthogonality.
