Chapter 8 Flashcards
What is n
Principle quantum number
What is l + formula
Angular momentum
N-1
What is m + formula
Angular momentum projection
-l to l
What is s
Spin
Bosons = 1
Fermions = 1/2 (electrons = 1/2)
What is spin projection
m_s
+1/2 and -1/2 usually
Magnitude of angular momentum
L = sqrt(l(l+1))*(h-bar)
Z component of magnitude of angular momentum
Lz = m(h-bar) = L*cos(θ)
Atomic orbit definition
An area where the likelihood of finding an electron is 90%
When are atomic orbitals circular
When angular momentum (l) is zero
Orbital magnetic dipole moment definition
Strength of the magnetic field produced by an electron orbiting a nucleus
What is μb
Bohr magneton, fundamental constant in magnetism
Potential energy of interaction between orbital magnetic dipole moment and external magnetic field
U(θ) = -μz*B = mμB
What is the Zeeman effect
Splitting of orbitals due to the interaction of the magnetic dipole moment and an external magnetic field (related to U = μmB)
Example of this is spots on the sun
Formula for spin magnitude
S = sqrt(s(s+1))*(h-bar)
Allowed number for spin projection (m_s)
For an electron
-s to s (just like for m)
For electron it’s always -1/2 and 1/2