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

using model chemistry: PBEPBE/aug-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 PBEPBE/aug-cc-pVDZ
 hartrees
Energy at 0K-225.321044
Energy at 298.15K-225.325358
HF Energy-225.321044
Nuclear repulsion energy151.725670
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 PBEPBE/aug-cc-pVDZ
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 3164 3145 1.30      
2 A1 3155 3136 12.95      
3 A1 1401 1392 18.68      
4 A1 1268 1260 42.70      
5 A1 1139 1132 22.92      
6 A1 962 956 1.37      
7 A1 880 874 2.36      
8 A2 847 842 0.00      
9 A2 538 534 0.00      
10 B1 848 842 0.02      
11 B1 712 707 26.88      
12 B1 474 471 24.34      
13 B2 3141 3121 0.85      
14 B2 1470 1461 20.16      
15 B2 1238 1231 0.00      
16 B2 1151 1144 2.89      
17 B2 990 984 73.76      
18 B2 777 772 0.42      

Unscaled Zero Point Vibrational Energy (zpe) 12075.8 cm-1
Scaled (by 0.9939) Zero Point Vibrational Energy (zpe) 12002.1 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 PBEPBE/aug-cc-pVDZ
ABC
0.35009 0.30073 0.16177

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.102
N2 0.000 1.178 0.376
N3 0.000 -1.178 0.376
C4 0.000 0.741 -0.882
C5 0.000 -0.741 -0.882
H6 0.000 0.000 2.198
H7 0.000 1.418 -1.745
H8 0.000 -1.418 -1.745

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8
C11.38341.38342.11702.11701.09623.18023.1802
N21.38342.35521.33122.29352.16952.13413.3519
N31.38342.35522.29351.33122.16953.35192.1341
C42.11701.33122.29351.48113.16721.09742.3250
C52.11702.29351.33121.48113.16722.32501.0974
H61.09622.16952.16953.16723.16724.18994.1899
H73.18022.13413.35191.09742.32504.18992.8367
H83.18023.35192.13412.32501.09744.18992.8367

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 102.482 C1 N3 C5 102.482
N2 C1 N3 116.700 N2 C1 H6 121.650
N2 C4 C5 109.168 N2 C4 H7 122.687
N3 C1 H6 121.650 N3 C5 C4 109.168
N3 C5 H8 122.687 C4 C5 H8 128.145
C5 C4 H7 128.145
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/aug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.534      
2 N -0.359      
3 N -0.359      
4 C 0.528      
5 C 0.528      
6 H -0.198      
7 H -0.337      
8 H -0.337      


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 -1.640 1.640
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -29.769 0.000 0.000
y 0.000 -35.044 0.000
z 0.000 0.000 -22.720
Traceless
 xyz
x -0.887 0.000 0.000
y 0.000 -8.799 0.000
z 0.000 0.000 9.686
Polar
3z2-r219.373
x2-y25.274
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.659 0.000 0.000
y 0.000 7.824 0.000
z 0.000 0.000 8.598


<r2> (average value of r2) Å2
<r2> 77.747
(<r2>)1/2 8.817