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

using model chemistry: wB97X-D/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 wB97X-D/cc-pVTZ
 hartrees
Energy at 0K-225.552465
Energy at 298.15K-225.556951
HF Energy-225.552465
Nuclear repulsion energy153.877321
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 wB97X-D/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 3255 3112 1.71      
2 A1 3243 3101 12.91      
3 A1 1472 1407 21.69      
4 A1 1325 1267 57.34      
5 A1 1190 1138 28.58      
6 A1 1003 959 1.76      
7 A1 923 882 3.21      
8 A2 922 882 0.00      
9 A2 573 547 0.00      
10 B1 886 847 0.75      
11 B1 796 761 22.02      
12 B1 516 494 30.38      
13 B2 3230 3088 0.53      
14 B2 1552 1484 22.89      
15 B2 1289 1232 0.06      
16 B2 1192 1139 5.58      
17 B2 1032 987 74.34      
18 B2 797 762 0.11      

Unscaled Zero Point Vibrational Energy (zpe) 12597.8 cm-1
Scaled (by 0.956) Zero Point Vibrational Energy (zpe) 12043.5 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 wB97X-D/cc-pVTZ
ABC
0.35933 0.30979 0.16636

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/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 1.158 0.369
N3 0.000 -1.158 0.369
C4 0.000 0.736 -0.869
C5 0.000 -0.736 -0.869
H6 0.000 0.000 2.169
H7 0.000 1.401 -1.720
H8 0.000 -1.401 -1.720

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8
C11.36341.36342.09152.09151.07993.13903.1390
N21.36342.31561.30782.26252.14002.10313.3035
N31.36342.31562.26251.30782.14003.30352.1031
C42.09151.30782.26251.47193.12551.08032.3005
C52.09152.26251.30781.47193.12552.30051.0803
H61.07992.14002.14003.12553.12554.13354.1335
H73.13902.10313.30351.08032.30054.13352.8028
H83.13903.30352.10312.30051.08034.13352.8028

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 103.052 C1 N3 C5 103.052
N2 C1 N3 116.257 N2 C1 H6 121.872
N2 C4 C5 108.819 N2 C4 H7 123.158
N3 C1 H6 121.872 N3 C5 C4 108.819
N3 C5 H8 123.158 C4 C5 H8 128.022
C5 C4 H7 128.022
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.093      
2 N -0.203      
3 N -0.203      
4 C -0.036      
5 C -0.036      
6 H 0.120      
7 H 0.133      
8 H 0.133      


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 -1.681 1.681
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -29.105 0.000 0.000
y 0.000 -34.257 0.000
z 0.000 0.000 -22.014
Traceless
 xyz
x -0.970 0.000 0.000
y 0.000 -8.697 0.000
z 0.000 0.000 9.667
Polar
3z2-r219.334
x2-y25.151
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.747 0.000 0.000
y 0.000 6.513 0.000
z 0.000 0.000 7.710


<r2> (average value of r2) Å2
<r2> 75.660
(<r2>)1/2 8.698