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

using model chemistry: B3PW91/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 B3PW91/cc-pVDZ
 hartrees
Energy at 0K-225.486841
Energy at 298.15K-225.491278
HF Energy-225.486841
Nuclear repulsion energy152.892757
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 B3PW91/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 3241 3128 1.74      
2 A1 3232 3119 12.10      
3 A1 1472 1420 23.47      
4 A1 1310 1264 48.16      
5 A1 1179 1138 26.86      
6 A1 994 960 1.97      
7 A1 915 883 4.28      
8 A2 886 855 0.00      
9 A2 563 544 0.00      
10 B1 875 844 0.18      
11 B1 756 729 20.80      
12 B1 510 492 26.59      
13 B2 3218 3105 0.94      
14 B2 1541 1487 21.35      
15 B2 1278 1233 0.01      
16 B2 1183 1142 4.57      
17 B2 1029 993 74.90      
18 B2 801 773 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 12491.3 cm-1
Scaled (by 0.965) Zero Point Vibrational Energy (zpe) 12054.1 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 B3PW91/cc-pVDZ
ABC
0.35600 0.30496 0.16426

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/cc-pVDZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.092
N2 0.000 1.169 0.373
N3 0.000 -1.169 0.373
C4 0.000 0.737 -0.874
C5 0.000 -0.737 -0.874
H6 0.000 0.000 2.183
H7 0.000 1.411 -1.733
H8 0.000 -1.411 -1.733

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8
C11.37231.37232.09932.09931.09133.15753.1575
N21.37232.33701.31902.27672.15512.11933.3294
N31.37232.33702.27671.31902.15513.32942.1193
C42.09931.31902.27671.47343.14461.09192.3128
C52.09932.27671.31901.47343.14462.31281.0919
H61.09132.15512.15513.14463.14464.16254.1625
H73.15752.11933.32941.09192.31284.16252.8212
H83.15753.32942.11932.31281.09194.16252.8212

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 102.512 C1 N3 C5 102.512
N2 C1 N3 116.757 N2 C1 H6 121.622
N2 C4 C5 109.110 N2 C4 H7 122.781
N3 C1 H6 121.622 N3 C5 C4 109.110
N3 C5 H8 122.781 C4 C5 H8 128.109
C5 C4 H7 128.109
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.192      
2 N -0.223      
3 N -0.223      
4 C 0.063      
5 C 0.063      
6 H 0.051      
7 H 0.039      
8 H 0.039      


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 -1.560 1.560
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.860 0.000 0.000
y 0.000 -33.631 0.000
z 0.000 0.000 -22.216
Traceless
 xyz
x -0.937 0.000 0.000
y 0.000 -8.093 0.000
z 0.000 0.000 9.030
Polar
3z2-r218.060
x2-y24.771
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.875 0.000 0.000
y 0.000 5.950 0.000
z 0.000 0.000 7.449


<r2> (average value of r2) Å2
<r2> 76.277
(<r2>)1/2 8.734