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

using model chemistry: ROHF/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 ROHF/aug-cc-pVTZ
 hartrees
Energy at 0K-224.282211
Energy at 298.15K-224.286882
HF Energy-224.282211
Nuclear repulsion energy154.777198
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-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 3395 3395 3.75      
2 A1 3378 3378 11.49      
3 A1 1576 1576 20.54      
4 A1 1394 1394 71.89      
5 A1 1230 1230 22.66      
6 A1 1041 1041 0.06      
7 A1 988 988 3.16      
8 A2 944 944 0.00      
9 A2 602 602 0.00      
10 B1 923 923 0.03      
11 B1 841 841 23.82      
12 B1 607 607 35.78      
13 B2 3365 3365 0.82      
14 B2 1637 1637 24.45      
15 B2 1402 1402 0.01      
16 B2 1235 1235 18.26      
17 B2 1113 1113 45.20      
18 B2 883 883 3.88      

Unscaled Zero Point Vibrational Energy (zpe) 13277.4 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 13277.4 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-pVTZ
ABC
0.36191 0.31416 0.16817

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.089
N2 0.000 1.145 0.366
N3 0.000 -1.145 0.366
C4 0.000 0.737 -0.867
C5 0.000 -0.737 -0.867
H6 0.000 0.000 2.158
H7 0.000 1.397 -1.710
H8 0.000 -1.397 -1.710

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8
C11.35391.35392.09002.09001.06913.12823.1282
N21.35392.28941.29852.24942.12652.09143.2816
N31.35392.28942.24941.29852.12653.28162.0914
C42.09001.29852.24941.47373.11341.07082.2941
C52.09002.24941.29851.47373.11342.29411.0708
H61.06912.12652.12653.11343.11344.11274.1127
H73.12822.09143.28161.07082.29414.11272.7932
H83.12823.28162.09142.29411.07084.11272.7932

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 103.972 C1 N3 C5 103.972
N2 C1 N3 115.446 N2 C1 H6 122.277
N2 C4 C5 108.305 N2 C4 H7 123.662
N3 C1 H6 122.277 N3 C5 C4 108.305
N3 C5 H8 123.662 C4 C5 H8 128.033
C5 C4 H7 128.033
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at ROHF/aug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.412      
2 N -0.387      
3 N -0.387      
4 C -0.312      
5 C -0.312      
6 H 0.607      
7 H 0.602      
8 H 0.602      


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 -2.025 2.025
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -29.654 0.000 0.000
y 0.000 -34.975 0.000
z 0.000 0.000 -22.192
Traceless
 xyz
x -1.070 0.000 0.000
y 0.000 -9.052 0.000
z 0.000 0.000 10.123
Polar
3z2-r220.245
x2-y25.321
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> 75.350
(<r2>)1/2 8.680