Lecture 8: Electrons as Waves, Quantum Numbers Flashcards
Limitations of the bohr model
-only works for 1 electron
-doesn’t explain quantized energy just assumes it true
-doesn’t explain why electrons don’t fall into nucleus
de broglie hypothesis
if light can have
wave/particle duality, can matter exhibit
wave/particle duality?
de broglie wavelength
Any moving mass has a wavelength λ =ℎ/𝑚v
Electron diffraction
electrons through crystal showed diffraction proving they are waves not just particles
electrons don’t fall into the nucleus because
they are waves
Waves that are bounded can form
standing waves
Heisenberg Uncertainty Principle
There is a fundamental limit on how accurately we can measure position and momentum simultaneously
Solutions to SCHRÖDINGER’s Wave Equation describe
allowed energy states of an electron in H
SCHRÖDINGER’s Wave Equation is the theoretical foundation for
quantizing the energy of electrons
= wave-particle duality
ψ describes
an allowed energy state
ψ2 describes
probability density (Orbital)
n
principle quantum number
L (special L)
angular momentum quantum number
ml (m subscript L)
magnetic quantum number
principle quantum number determines
size and energy of an orbital (shell)