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All results from a given calculation for C3H3N2 (imidazolyl radical)

using model chemistry: TPSSh/aug-cc-pVTZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 2B1
Energy calculated at TPSSh/aug-cc-pVTZ
 hartrees
Energy at 0K-225.652382
Energy at 298.15K-225.656799
HF Energy-225.652382
Nuclear repulsion energy153.149111
The energy at 298.15K was derived from the energy at 0K and an integrated heat capacity that used the calculated vibrational frequencies.
Vibrational Frequencies calculated at TPSSh/aug-cc-pVTZ
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 A1 3220 3108 1.29      
2 A1 3211 3099 14.39      
3 A1 1433 1383 15.02      
4 A1 1309 1264 53.30      
5 A1 1156 1116 27.82      
6 A1 985 951 1.93      
7 A1 903 871 2.07      
8 A2 888 857 0.00      
9 A2 557 537 0.00      
10 B1 873 843 0.08      
11 B1 758 732 24.25      
12 B1 506 488 27.09      
13 B2 3197 3086 1.14      
14 B2 1520 1467 22.84      
15 B2 1290 1245 0.02      
16 B2 1184 1143 6.74      
17 B2 1007 972 69.34      
18 B2 777 750 0.52      

Unscaled Zero Point Vibrational Energy (zpe) 12387.0 cm-1
Scaled (by 0.9652) Zero Point Vibrational Energy (zpe) 11955.9 cm-1
See section III.C.1 List or set vibrational scaling factors to change the scale factors used here.
See section III.C.2 Calculate a vibrational scaling factor for a given set of molecules to determine the least squares best scaling factor.
Rotational Constants (cm-1) from geometry optimized at TPSSh/aug-cc-pVTZ
ABC
0.35618 0.30659 0.16476

See section I.F.4 to change rotational constant units
Geometric Data calculated at TPSSh/aug-cc-pVTZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.095
N2 0.000 1.165 0.371
N3 0.000 -1.165 0.371
C4 0.000 0.735 -0.874
C5 0.000 -0.735 -0.874
H6 0.000 0.000 2.176
H7 0.000 1.404 -1.725
H8 0.000 -1.404 -1.725

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8
C11.37171.37172.10162.10161.08143.14983.1498
N21.37172.33101.31782.27242.14832.11003.3159
N31.37172.33102.27241.31782.14833.31592.1100
C42.10161.31782.27241.47043.13761.08212.3018
C52.10162.27241.31781.47043.13762.30181.0821
H61.08142.14832.14833.13763.13764.14604.1460
H73.14982.11003.31591.08212.30184.14602.8071
H83.14983.31592.11002.30181.08214.14602.8071

picture of imidazolyl radical state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 N2 C4 102.764 C1 N3 C5 102.764
N2 C1 N3 116.354 N2 C1 H6 121.823
N2 C4 C5 109.059 N2 C4 H7 122.793
N3 C1 H6 121.823 N3 C5 C4 109.059
N3 C5 H8 122.793 C4 C5 H8 128.148
C5 C4 H7 128.148
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at TPSSh/aug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.066      
2 N -0.481      
3 N -0.481      
4 C -0.032      
5 C -0.032      
6 H 0.387      
7 H 0.353      
8 H 0.353      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.000 0.000 -2.035 2.035
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.495 0.000 0.000
y 0.000 7.463 0.000
z 0.000 0.000 8.244


<r2> (average value of r2) Å2
<r2> 76.429
(<r2>)1/2 8.742