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

using model chemistry: B2PLYP/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 B2PLYP/aug-cc-pVTZ
 hartrees
Energy at 0K-225.458901
Energy at 298.15K-225.463360
HF Energy-225.179461
Nuclear repulsion energy153.367869
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 B2PLYP/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 3258 3131 0.76      
2 A1 3246 3120 9.19      
3 A1 1438 1382 13.53      
4 A1 1321 1270 53.03      
5 A1 1171 1126 27.42      
6 A1 1001 962 1.89      
7 A1 916 881 2.03      
8 A2 904 869 0.00      
9 A2 567 545 0.00      
10 B1 893 858 0.16      
11 B1 779 748 23.35      
12 B1 520 500 30.06      
13 B2 3234 3108 0.14      
14 B2 1533 1473 22.14      
15 B2 1300 1249 0.01      
16 B2 1199 1152 6.32      
17 B2 1011 971 70.75      
18 B2 768 738 1.59      

Unscaled Zero Point Vibrational Energy (zpe) 12529.0 cm-1
Scaled (by 0.961) Zero Point Vibrational Energy (zpe) 12040.4 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 B2PLYP/aug-cc-pVTZ
ABC
0.35626 0.30824 0.16526

See section I.F.4 to change rotational constant units
Geometric Data calculated at B2PLYP/aug-cc-pVTZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.095
N2 0.000 1.163 0.371
N3 0.000 -1.163 0.371
C4 0.000 0.733 -0.874
C5 0.000 -0.733 -0.874
H6 0.000 0.000 2.173
H7 0.000 1.398 -1.724
H8 0.000 -1.398 -1.724

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8
C11.36981.36982.10152.10151.07803.14643.1464
N21.36982.32541.31742.26802.14482.10773.3081
N31.36982.32542.26801.31742.14483.30812.1077
C42.10151.31742.26801.46573.13441.07872.2937
C52.10152.26801.31741.46573.13442.29371.0787
H61.07802.14482.14483.13443.13444.14004.1400
H73.14642.10773.30811.07872.29374.14002.7956
H83.14643.30812.10772.29371.07874.14002.7956

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 102.875 C1 N3 C5 102.875
N2 C1 N3 116.162 N2 C1 H6 121.919
N2 C4 C5 109.044 N2 C4 H7 122.897
N3 C1 H6 121.919 N3 C5 C4 109.044
N3 C5 H8 122.897 C4 C5 H8 128.058
C5 C4 H7 128.058
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B2PLYP/aug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.323      
2 N -0.369      
3 N -0.369      
4 C -0.296      
5 C -0.296      
6 H 0.563      
7 H 0.545      
8 H 0.545      


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 -1.697 1.697
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -29.775 0.000 0.000
y 0.000 -35.221 0.000
z 0.000 0.000 -22.531
Traceless
 xyz
x -0.899 0.000 0.000
y 0.000 -9.068 0.000
z 0.000 0.000 9.967
Polar
3z2-r219.934
x2-y25.446
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.562 0.000 0.000
y 0.000 7.430 0.000
z 0.000 0.000 8.252


<r2> (average value of r2) Å2
<r2> 76.463
(<r2>)1/2 8.744