Question

I'm having a hard time understand how to find the IRREPs of [NO3]-. I know that the molecule has a trigonal planar and a trigonal pyramidal (D3h and C3v point groups respectively)

Which irreducible representations represent the translational and rotational modes for each possible structure of [NO3] - ?

Answer 1

The translational and rotational mod of possible structure of NO​​​​​3​​​​​​​​- follows:

*For Frignal plasser [NO] IRREPs as follows * Since it's point group is Den 10, IRREP or character table is – Dan El 2c, 30 ohean 25, 1200 +1 To knytt + 2 + 11 Top To 2 7 = 24' + A + 48% + 3 A, +2E" Totul Treynslatim mode = E + AL rotatiope mode = A'q + E". fer Trigonal pyramidal (C3x) IRREPs are? czy E 263 | 3006 III of+y?, z2 Az il- RT o (20,4) CRR,Ry}&2_y?, 24),( 2, 42) Scan Townslation mode: = A, + E . Totul = 44,+Agtse CS Cams relational mole: = Aq+ E T

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