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

using model chemistry: ROHF/aug-cc-pVDZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 2B1
Energy calculated at ROHF/aug-cc-pVDZ
 hartrees
Energy at 0K-224.234422
Energy at 298.15K-224.239079
HF Energy-224.234422
Nuclear repulsion energy154.045403
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 ROHF/aug-cc-pVDZ
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 3409 3409 3.75      
2 A1 3393 3393 10.70      
3 A1 1581 1581 22.46      
4 A1 1387 1387 68.12      
5 A1 1229 1229 19.90      
6 A1 1042 1042 0.05      
7 A1 986 986 3.83      
8 A2 920 920 0.00      
9 A2 596 596 0.00      
10 B1 914 914 0.03      
11 B1 830 830 25.11      
12 B1 604 604 35.76      
13 B2 3379 3379 0.78      
14 B2 1629 1629 24.14      
15 B2 1388 1388 0.00      
16 B2 1228 1228 17.60      
17 B2 1122 1122 42.72      
18 B2 893 893 5.69      

Unscaled Zero Point Vibrational Energy (zpe) 13263.9 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 13263.9 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 ROHF/aug-cc-pVDZ
ABC
0.35853 0.31128 0.16662

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.093
N2 0.000 1.150 0.368
N3 0.000 -1.150 0.368
C4 0.000 0.740 -0.871
C5 0.000 -0.740 -0.871
H6 0.000 0.000 2.170
H7 0.000 1.404 -1.720
H8 0.000 -1.404 -1.720

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8
C11.35971.35972.09872.09871.07613.14423.1442
N21.35972.30051.30522.25972.13712.10353.2992
N31.35972.30052.25971.30522.13713.29922.1035
C42.09871.30522.25971.47923.12881.07832.3057
C52.09872.25971.30521.47923.12882.30571.0783
H61.07612.13712.13713.12883.12884.13504.1350
H73.14422.10353.29921.07832.30574.13502.8081
H83.14423.29922.10352.30571.07834.13502.8081

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 103.890 C1 N3 C5 103.890
N2 C1 N3 115.546 N2 C1 H6 122.227
N2 C4 C5 108.337 N2 C4 H7 123.624
N3 C1 H6 122.227 N3 C5 C4 108.337
N3 C5 H8 123.624 C4 C5 H8 128.039
C5 C4 H7 128.039
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at ROHF/aug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.805      
2 N -0.685      
3 N -0.685      
4 C 0.490      
5 C 0.490      
6 H -0.094      
7 H -0.160      
8 H -0.160      


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 -2.046 2.046
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -29.906 0.000 0.000
y 0.000 -35.097 0.000
z 0.000 0.000 -22.195
Traceless
 xyz
x -1.260 0.000 0.000
y 0.000 -9.047 0.000
z 0.000 0.000 10.307
Polar
3z2-r220.614
x2-y25.191
xy0.000
xz0.000
yz0.000


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


<r2> (average value of r2) Å2
<r2> 75.974
(<r2>)1/2 8.716