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

using model chemistry: HF/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 HF/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 HF/aug-cc-pVDZ
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 A1 3409 3104 3.75      
2 A1 3393 3089 10.70      
3 A1 1581 1439 22.46      
4 A1 1387 1263 68.12      
5 A1 1229 1119 19.90      
6 A1 1042 949 0.05      
7 A1 986 897 3.83      
8 A2 920 838 0.00      
9 A2 596 543 0.00      
10 B1 914 832 0.03      
11 B1 830 756 25.11      
12 B1 604 550 35.76      
13 B2 3379 3077 0.78      
14 B2 1629 1483 24.14      
15 B2 1388 1264 0.00      
16 B2 1228 1118 17.60      
17 B2 1122 1022 42.72      
18 B2 893 813 5.69      

Unscaled Zero Point Vibrational Energy (zpe) 13263.9 cm-1
Scaled (by 0.9106) Zero Point Vibrational Energy (zpe) 12078.1 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 HF/aug-cc-pVDZ
ABC
0.35853 0.31128 0.16662

See section I.F.4 to change rotational constant units
Geometric Data calculated at HF/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 HF/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 4.342 0.000 0.000
y 0.000 6.605 0.000
z 0.000 0.000 7.543


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