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

using model chemistry: PBEPBEultrafine/6-31G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 2B1
Energy calculated at PBEPBEultrafine/6-31G*
 hartrees
Energy at 0K-225.288708
Energy at 298.15K-225.292985
HF Energy-225.288708
Nuclear repulsion energy151.913958
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 PBEPBEultrafine/6-31G*
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 3177 3125 3.47      
2 A1 3170 3117 17.45      
3 A1 1415 1392 19.17      
4 A1 1285 1264 44.11      
5 A1 1139 1120 25.71      
6 A1 970 954 2.81      
7 A1 885 870 2.97      
8 A2 841 827 0.00      
9 A2 544 535 0.00      
10 B1 836 822 0.20      
11 B1 706 694 22.53      
12 B1 471 463 22.80      
13 B2 3155 3103 3.20      
14 B2 1493 1468 15.27      
15 B2 1261 1241 0.00      
16 B2 1168 1149 3.49      
17 B2 992 976 74.44      
18 B2 778 765 0.27      

Unscaled Zero Point Vibrational Energy (zpe) 12142.1 cm-1
Scaled (by 0.9835) Zero Point Vibrational Energy (zpe) 11941.8 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 PBEPBEultrafine/6-31G*
ABC
0.35249 0.30019 0.16212

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBEultrafine/6-31G*

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.096
N2 0.000 1.180 0.376
N3 0.000 -1.180 0.376
C4 0.000 0.740 -0.879
C5 0.000 -0.740 -0.879
H6 0.000 0.000 2.190
H7 0.000 1.414 -1.740
H8 0.000 -1.414 -1.740

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8
C11.38261.38262.10922.10921.09333.16903.1690
N21.38262.36011.32982.29322.16402.12813.3475
N31.38262.36012.29321.32982.16403.34752.1281
C42.10921.32982.29321.47913.15651.09362.3195
C52.10922.29321.32981.47913.15652.31951.0936
H61.09332.16402.16403.15653.15654.17604.1760
H73.16902.12813.34751.09362.31954.17602.8290
H83.16903.34752.12812.31951.09364.17602.8290

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 102.065 C1 N3 C5 102.065
N2 C1 N3 117.180 N2 C1 H6 121.410
N2 C4 C5 109.345 N2 C4 H7 122.547
N3 C1 H6 121.410 N3 C5 C4 109.345
N3 C5 H8 122.547 C4 C5 H8 128.109
C5 C4 H7 128.109
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.167      
2 N -0.364      
3 N -0.364      
4 C 0.020      
5 C 0.020      
6 H 0.180      
7 H 0.171      
8 H 0.171      


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 -1.556 1.556
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.884 0.000 0.000
y 0.000 -33.727 0.000
z 0.000 0.000 -22.301
Traceless
 xyz
x -0.870 0.000 0.000
y 0.000 -8.135 0.000
z 0.000 0.000 9.005
Polar
3z2-r218.010
x2-y24.843
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.618 0.000 0.000
y 0.000 6.114 0.000
z 0.000 0.000 7.442


<r2> (average value of r2) Å2
<r2> 77.042
(<r2>)1/2 8.777