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

using model chemistry: B3LYP/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 B3LYP/cc-pVDZ
 hartrees
Energy at 0K-225.570895
Energy at 298.15K-225.575319
HF Energy-225.570895
Nuclear repulsion energy152.562720
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 B3LYP/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 3229 3132 1.93      
2 A1 3220 3123 12.82      
3 A1 1452 1408 21.60      
4 A1 1304 1265 45.98      
5 A1 1166 1131 28.17      
6 A1 983 953 2.22      
7 A1 914 887 3.51      
8 A2 883 857 0.00      
9 A2 565 548 0.00      
10 B1 872 846 0.26      
11 B1 754 732 18.43      
12 B1 513 498 25.33      
13 B2 3206 3110 1.32      
14 B2 1528 1482 19.86      
15 B2 1276 1238 0.01      
16 B2 1179 1144 4.37      
17 B2 1015 984 75.38      
18 B2 785 761 0.51      

Unscaled Zero Point Vibrational Energy (zpe) 12421.0 cm-1
Scaled (by 0.97) Zero Point Vibrational Energy (zpe) 12048.4 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 B3LYP/cc-pVDZ
ABC
0.35418 0.30377 0.16352

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/cc-pVDZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.096
N2 0.000 1.171 0.373
N3 0.000 -1.171 0.373
C4 0.000 0.739 -0.876
C5 0.000 -0.739 -0.876
H6 0.000 0.000 2.187
H7 0.000 1.412 -1.735
H8 0.000 -1.412 -1.735

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8
C11.37611.37612.10612.10611.09123.16423.1642
N21.37612.34111.32132.28152.15942.12193.3338
N31.37612.34112.28151.32132.15943.33382.1219
C42.10611.32132.28151.47773.15121.09172.3163
C52.10612.28151.32131.47773.15122.31631.0917
H61.09122.15942.15943.15123.15124.16914.1691
H73.16422.12193.33381.09172.31634.16912.8243
H83.16423.33382.12192.31631.09174.16912.8243

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 102.647 C1 N3 C5 102.647
N2 C1 N3 116.563 N2 C1 H6 121.719
N2 C4 C5 109.072 N2 C4 H7 122.847
N3 C1 H6 121.719 N3 C5 C4 109.072
N3 C5 H8 122.847 C4 C5 H8 128.081
C5 C4 H7 128.081
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.186      
2 N -0.191      
3 N -0.191      
4 C 0.076      
5 C 0.076      
6 H 0.023      
7 H 0.010      
8 H 0.010      


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 -1.524 1.524
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.886 0.000 0.000
y 0.000 -33.778 0.000
z 0.000 0.000 -22.537
Traceless
 xyz
x -0.729 0.000 0.000
y 0.000 -8.066 0.000
z 0.000 0.000 8.795
Polar
3z2-r217.590
x2-y24.892
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.857 0.000 0.000
y 0.000 5.959 0.000
z 0.000 0.000 7.518


<r2> (average value of r2) Å2
<r2> 76.631
(<r2>)1/2 8.754