Unit 2: Notes Flashcards
How does quantum mechanics treat electrons bound to the nucleus?
Quantum mechanics treats electrons bound to the nucleus like standing waves
To get exact solutions to the schrodinger equation, one should change from Cartesian, to what?
One should change to Spherical Polar Coordinates
What are the Boundary Conditions for Psy?
- The electron can not be outside of the atom
- The total probability of finding the e- in the atom must be 1
- The wave function must be continuous
What are the 3 quantum numbers?
n: principle quantum number; 4s^2 (4)
l: angular momentum quantum number; 4s^2 (0)
ml: magnetic quantum number; 4s^2 (0)
What is the equation for the Heisenberg uncertainty principle?
Δx = h/4π(mv²)
What does the Heisenberg uncertainty principle claim?
It claims that it is impossible to know simultaneously that momentum and the position of a particle
Why did Bohr’s model fail?
Bohr’s model failed because it assigned circular paths to electrons
What did the Stern-Gerlach experiment unintentionally prove?
The Stern-Gerlach experiment unintentionally proved that approximately 50% of the electrons spin up, and 50% of the electrons spin down
Describe the Pauli Principle?
- In a given atom, no two electrons can have the same set of quantum numbers
- An orbital can hold up to a maximum of 2 electrons, and they must be opposite in spin
Why can’t the Schrodinger equation be solved exactly for polyelectronic atoms?
Because the PE from electron repulsion cannot be known; the electron correlation problem
What Equation can only be solved for hydrogen?
The Shrodinger Equation
