Topic 2 Flashcards
(66 cards)
evolution steps of molecular theory
Lewis dot, VSEPR, point groups, character table
Uses of character table
info about IR, Uv-vis spectroscopy, NMR, DFT calculation
h=
group order. total number of operations (can have more than one in each class)
last 2 columns of character table
linear functions and rotations, then quadratic functions
number of irreps =
number of classes on table
characters are represented by symbol..
chi
character value meanings
1 = symmetric, -1 = antisymmetric, 0 = different position
mulliken symbols
represent irreps
A, B, E, and T
represent dimensions (A and B=1d, E = 2d, T =3d)
A vs B symbols
A has Cn (or sigma v if no Cn) symmetry (1), B does not (-1)
1 vs 2 subscripts
symmetry at sigma v. 1 = has symmetry (1), 2 does not (-1)
g vs u subscripts
g is symmetric at inversion center, u is not
’ or “ for Mulliken symbols
’ is symmetric at sigma h, “ is not
A1/Ag/A1g is..
always all characters of 1
how to get each row to = group order?
sum for each row of squares of characters * number of operations in their class =group order. also just sum of squares of numbers in E irrep
proving irreps are orthogonal
summation of C1C2(number of operations) for each character on both rows will = 0
p orbital vs d orbital symmetry
p are always u, d are always g (invertible)
what groups have T
high symmetry (polyhedrons)
the great orthogonality
number of an irrep = 1/h(sum(operations in class)(character of representation)(character from table)) for the whole row
chirality and symmetry
can only be Cn, Dn, or T (no I, no Sn, no sigma
polarity and symmetry
less symmetrical, usually Cn, Cnv, Cs
harmonic oscillation
restoration linearly corresponds to displacement of bonds
force of restoration of bond length =
-kx
energy of vibration changes based on..
inverse mass, so heavy atoms have less vibration, and bond strength, so strong bonds have more vibration (higher k too)