Bonus

Prior to calculating these constructions, the reducible representations must be decomposed to find the stretching modes that comprise the basis set. For 10 points each:
[10h] Name these constructions, which can also be calculated by applying symmetry operations to vectors representing bonds in the projection operator method. These constructions serve as symbolic fragments of the non-central atoms of molecules.
ANSWER: SALCs (“salks”) [or symmetry-adapted linear combinations; prompt on LCAOs or linear combinations of atomic orbitals; reject “atomic orbitals” or “orbitals”]
[10m] The symmetries of SALCs are labeled using lowercase Mulliken symbols on the left side of these tables. These tables are used to predict a molecule’s behavior based on its point group.
ANSWER: character tables
[10e] The combination of SALCs is used to create these structures, also denoted by Mulliken symbols, although an asterisk is used to indicate whether they are bonding or antibonding.
ANSWER: molecular orbitals [or MOs; prompt on orbitals; reject “atomic orbitals”]
<Chemistry>
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Conversion

TeamOpponentPart 1Part 2Part 3TotalParts
Chicago ABritish Columbia0101020ME
Columbia AToronto B0101020ME
Cornell ANorth Carolina A0101020ME
Cornell BIndiana001010E
Georgia TechArizona State001010E
Iowa StateMIT001010E
LSEHarvard001010E
MarylandWaterloo A001010E
NYUChicago B0101020ME
North Carolina BColumbia B0000
NorthwesternVirginia Tech0101020ME
Penn StateRutgers001010E
RITVirginia0101020ME
TexasUC Berkeley A001010E
UC Berkeley BStanford001010E
UCFJohns Hopkins001010E
VanderbiltOttawa0000
WUSTL AYale0101020ME
WUSTL BMinnesota001010E
Waterloo BToronto A001010E
Winona StateMichigan010010M

Summary

TournamentExact Match?HeardPPBEasy %Medium %Hard %
2025 ACF NationalsYes2112.3886%38%0%