Chapter 8 Flashcards
(33 cards)
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
What is spin-orbit interaction
When the spin of an electron interacts with its angular momentum and produces a fine structure.
When the spin and angular momentum are aligned (same direction), it’s produces a higher energy state and a lower energy state when they are not aligned.
What does their Stern-Geralch experiment show
Showed that electrons have a spin and the spin projection number with one being -1/2 and the other 1/2. This was shows as a beam of electrons from silver (which has 1 valence electron) was split into two beans under an irregular magnetic field.
Number of possible spin projection
2s+1 = no. spins
Eg and electron is 1/2 so 2(1/2)+1 = 2 (these are -1/2 and 1/2)
What is spin-spin coupling
When the magnetic moment of a proton (in nucleus) and electron interact causing a hyperfine structure.
What is the 21cm line in hydrogen
When radiation is emitted from the transition of aligned and non-aligned spin-spin interactions in hydrogen. This results in the emission of radiation with λ = 21cm. Also show that hydrogen is present.
What is the Pauli exclusion principle
No two electrons can have the same values for all quantum numbers (except spin)
What is the formula for the allowed number of electrons in a sub shell
N = 4l + 2
Number of angular orbital states in a sub-shell
2l+1
Number of electrons that fill atom
2n^2