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

using model chemistry: PBEPBEultrafine/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 PBEPBEultrafine/cc-pVTZ
 hartrees
Energy at 0K-225.364487
Energy at 298.15K-225.368802
HF Energy-225.364487
Nuclear repulsion energy152.437719
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/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 3148 3126 1.04      
2 A1 3140 3118 16.34      
3 A1 1397 1387 18.34      
4 A1 1274 1265 42.55      
5 A1 1138 1130 26.56      
6 A1 959 953 1.77      
7 A1 883 877 2.72      
8 A2 857 851 0.00      
9 A2 543 539 0.00      
10 B1 849 843 0.06      
11 B1 711 706 24.94      
12 B1 471 468 23.14      
13 B2 3126 3104 1.70      
14 B2 1475 1465 17.60      
15 B2 1245 1237 0.00      
16 B2 1156 1148 3.44      
17 B2 983 976 77.07      
18 B2 770 765 0.90      

Unscaled Zero Point Vibrational Energy (zpe) 12061.7 cm-1
Scaled (by 0.9931) Zero Point Vibrational Energy (zpe) 11978.5 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 PBEPBEultrafine/cc-pVTZ
ABC
0.35368 0.30321 0.16325

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.097
N2 0.000 1.173 0.373
N3 0.000 -1.173 0.373
C4 0.000 0.738 -0.877
C5 0.000 -0.738 -0.877
H6 0.000 0.000 2.186
H7 0.000 1.410 -1.735
H8 0.000 -1.410 -1.735

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8
C11.37801.37802.10732.10731.08933.16323.1632
N21.37802.34571.32412.28352.15902.12143.3341
N31.37802.34572.28351.32412.15903.33412.1214
C42.10731.32412.28351.47553.15081.08972.3128
C52.10732.28351.32411.47553.15082.31281.0897
H61.08932.15902.15903.15083.15084.16674.1667
H73.16322.12143.33411.08972.31284.16672.8204
H83.16323.33412.12142.31281.08974.16672.8204

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 102.480 C1 N3 C5 102.480
N2 C1 N3 116.674 N2 C1 H6 121.663
N2 C4 C5 109.183 N2 C4 H7 122.714
N3 C1 H6 121.663 N3 C5 C4 109.183
N3 C5 H8 122.714 C4 C5 H8 128.103
C5 C4 H7 128.103
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.076      
2 N -0.171      
3 N -0.171      
4 C -0.041      
5 C -0.041      
6 H 0.107      
7 H 0.121      
8 H 0.121      


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 -1.555 1.555
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -29.298 0.000 0.000
y 0.000 -34.276 0.000
z 0.000 0.000 -22.584
Traceless
 xyz
x -0.868 0.000 0.000
y 0.000 -8.335 0.000
z 0.000 0.000 9.203
Polar
3z2-r218.405
x2-y24.978
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.786 0.000 0.000
y 0.000 6.835 0.000
z 0.000 0.000 8.027


<r2> (average value of r2) Å2
<r2> 76.904
(<r2>)1/2 8.770