CH 301 Unit 1 Exit Ticket 5 - Quantum Mechanics & Wave-Particle Duality

Vocabulary flashcards reviewing the failure of classical mechanics, the photoelectric effect, wave-particle duality, Planck's equation, and de Broglie theory.

Classical Mechanics Assumption

The theoretical framework assuming a continuum of outcomes, predicting that hydrogen electrons, blackbodies, and surface electrons emit or radiate across all wavelengths ($\lambda$).

Quantized Result

An outcome produced by discrete, specific energies rather than a continuum, requiring quantum mechanics to explain atomic phenomena.

Photoelectric Effect

The process in which a minimum photon (light) energy is required to eject an electron from its ground state on a surface, with any energy above this minimum being converted into kinetic energy for the ejected electron.

Easily Ionizable Metals

Metals with low ionization energy located on the left side of the periodic table, such as alkali metals and alkaline earth metals, which readily exhibit the photoelectric effect.

Planck's Energy Equation

The equation $E = h\nu$, where $E$ is energy, $h$ is Planck's constant, and $\nu$ is frequency, describing the energy carried by a photon.

Wave-Particle Duality

The phenomenon where light and matter exhibit both wave-like and particle-like properties.

de Broglie Theory

The principle stating that matter possesses wave-like characteristics according to the inverse formula $\lambda = \frac{h}{m\nu}$, where wavelength ($\lambda$) is inversely proportional to mass ($m$) and velocity ($\nu$).

Electron Wavelength ($e^-$)

The de Broglie wavelength of an electron, which falls within the nanometer range ($10^{-9}\,m$).

Proton Wavelength ($p^+$)

The de Broglie wavelength of a proton, which falls within the picometer range ($10^{-12}\,m$).

Small Molecule Wavelength

The de Broglie wavelength of small molecules, which falls within the picometer range ($10^{-12}\,m$).

Macroscopic Object Wavelength

The de Broglie wavelength of visible, everyday objects, which is extremely small (around $10^{-36}\,m$) and unmeasurable.

Particle Wavelength Scale Comparison

A summary of de Broglie wavelengths showing that smaller particles have larger, measurable wavelengths ($e^-$ at $10^{-9}\,m$, $p^+$ and small molecules at $10^{-12}\,m$), whereas visible objects have extremely tiny wavelengths ($10^{-36}\,m$).