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

using model chemistry: PBEPBEultrafine/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 PBEPBEultrafine/aug-cc-pVDZ
 hartrees
Energy at 0K-225.321042
Energy at 298.15K-225.325356
HF Energy-225.321042
Nuclear repulsion energy151.725503
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/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 3163 3144 1.46      
2 A1 3154 3134 12.76      
3 A1 1401 1393 18.70      
4 A1 1268 1261 42.78      
5 A1 1139 1132 22.78      
6 A1 962 956 1.35      
7 A1 880 874 2.38      
8 A2 847 841 0.00      
9 A2 537 534 0.00      
10 B1 848 843 0.02      
11 B1 711 707 26.89      
12 B1 474 471 24.32      
13 B2 3139 3120 0.86      
14 B2 1470 1461 20.16      
15 B2 1238 1231 0.00      
16 B2 1151 1144 2.89      
17 B2 991 985 73.79      
18 B2 777 772 0.41      

Unscaled Zero Point Vibrational Energy (zpe) 12074.2 cm-1
Scaled (by 0.9939) Zero Point Vibrational Energy (zpe) 12000.6 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/aug-cc-pVDZ
ABC
0.35007 0.30075 0.16177

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBEultrafine/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 0.740 -0.882
C5 0.000 -0.740 -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
C11.38341.38342.11712.11711.09623.18023.1802
N21.38342.35521.33122.29352.16962.13413.3519
N31.38342.35522.29351.33122.16963.35192.1341
C42.11711.33122.29351.48103.16731.09742.3250
C52.11712.29351.33121.48103.16732.32501.0974
H61.09622.16962.16963.16733.16734.19004.1900
H73.18022.13413.35191.09742.32504.19002.8368
H83.18023.35192.13412.32501.09744.19002.8368

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 102.485 C1 N3 C5 102.485
N2 C1 N3 116.693 N2 C1 H6 121.653
N2 C4 C5 109.168 N2 C4 H7 122.682
N3 C1 H6 121.653 N3 C5 C4 109.168
N3 C5 H8 122.682 C4 C5 H8 128.150
C5 C4 H7 128.150
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/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 -22.719
Traceless
 xyz
x -0.888 0.000 0.000
y 0.000 -8.800 0.000
z 0.000 0.000 9.687
Polar
3z2-r219.375
x2-y25.275
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.658 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