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

using model chemistry: B3LYP/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 B3LYP/aug-cc-pVTZ
 hartrees
Energy at 0K-225.639882
Energy at 298.15K-225.644327
HF Energy-225.639882
Nuclear repulsion energy153.414526
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/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 3231 3126 1.29      
2 A1 3218 3113 10.94      
3 A1 1434 1388 17.83      
4 A1 1315 1272 52.79      
5 A1 1167 1129 27.02      
6 A1 984 952 1.50      
7 A1 918 888 1.94      
8 A2 896 866 0.00      
9 A2 564 546 0.00      
10 B1 884 856 0.08      
11 B1 764 739 23.89      
12 B1 517 500 28.74      
13 B2 3205 3101 0.38      
14 B2 1523 1474 23.44      
15 B2 1293 1251 0.00      
16 B2 1188 1149 6.09      
17 B2 1014 981 73.78      
18 B2 779 754 1.47      

Unscaled Zero Point Vibrational Energy (zpe) 12446.7 cm-1
Scaled (by 0.9675) Zero Point Vibrational Energy (zpe) 12042.2 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/aug-cc-pVTZ
ABC
0.35635 0.30845 0.16534

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.096
N2 0.000 1.161 0.370
N3 0.000 -1.161 0.370
C4 0.000 0.735 -0.874
C5 0.000 -0.735 -0.874
H6 0.000 0.000 2.175
H7 0.000 1.401 -1.724
H8 0.000 -1.401 -1.724

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8
C11.36881.36882.10232.10231.07933.14893.1489
N21.36882.32121.31462.26742.14602.10803.3088
N31.36882.32122.26741.31462.14603.30882.1080
C42.10231.31462.26741.47033.13631.08012.2993
C52.10232.26741.31461.47033.13632.29931.0801
H61.07932.14602.14603.13633.13634.14344.1434
H73.14892.10803.30881.08012.29934.14342.8023
H83.14893.30882.10802.29931.08014.14342.8023

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 103.135 C1 N3 C5 103.135
N2 C1 N3 115.964 N2 C1 H6 122.018
N2 C4 C5 108.883 N2 C4 H7 123.049
N3 C1 H6 122.018 N3 C5 C4 108.883
N3 C5 H8 123.049 C4 C5 H8 128.068
C5 C4 H7 128.068
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/aug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.261      
2 N -0.390      
3 N -0.390      
4 C -0.253      
5 C -0.253      
6 H 0.533      
7 H 0.507      
8 H 0.507      


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 -1.702 1.702
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -29.601 0.000 0.000
y 0.000 -35.102 0.000
z 0.000 0.000 -22.565
Traceless
 xyz
x -0.767 0.000 0.000
y 0.000 -9.019 0.000
z 0.000 0.000 9.786
Polar
3z2-r219.572
x2-y25.501
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.552 0.000 0.000
y 0.000 7.434 0.000
z 0.000 0.000 8.253


<r2> (average value of r2) Å2
<r2> 76.400
(<r2>)1/2 8.741