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

using model chemistry: PBEPBE/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 PBEPBE/6-31G**
 hartrees
Energy at 0K-225.292944
Energy at 298.15K-225.297234
HF Energy-225.292944
Nuclear repulsion energy151.914171
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/6-31G**
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 3171 3127 0.90      
2 A1 3165 3122 16.92      
3 A1 1414 1395 19.50      
4 A1 1281 1264 42.81      
5 A1 1138 1122 25.74      
6 A1 968 955 2.84      
7 A1 884 872 2.96      
8 A2 845 833 0.00      
9 A2 543 535 0.00      
10 B1 839 827 0.18      
11 B1 708 698 21.96      
12 B1 469 463 22.96      
13 B2 3151 3108 2.72      
14 B2 1490 1470 15.29      
15 B2 1258 1241 0.00      
16 B2 1165 1149 3.46      
17 B2 991 977 74.42      
18 B2 777 766 0.31      

Unscaled Zero Point Vibrational Energy (zpe) 12127.5 cm-1
Scaled (by 0.9863) Zero Point Vibrational Energy (zpe) 11961.3 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/6-31G**
ABC
0.35241 0.30024 0.16212

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.097
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 2.189
H7 0.000 1.413 -1.740
H8 0.000 -1.413 -1.740

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8
C11.38281.38282.10952.10951.09283.16903.1690
N21.38282.36001.32972.29332.16382.12853.3465
N31.38282.36002.29331.32972.16383.34652.1285
C42.10951.32972.29331.47933.15631.09302.3183
C52.10952.29331.32971.47933.15632.31831.0930
H61.09282.16382.16383.15633.15634.17574.1757
H73.16902.12853.34651.09302.31834.17572.8256
H83.16903.34652.12852.31831.09304.17572.8256

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 102.086 C1 N3 C5 102.086
N2 C1 N3 117.151 N2 C1 H6 121.425
N2 C4 C5 109.339 N2 C4 H7 122.645
N3 C1 H6 121.425 N3 C5 C4 109.339
N3 C5 H8 122.645 C4 C5 H8 128.017
C5 C4 H7 128.017
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/6-31G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.222      
2 N -0.381      
3 N -0.381      
4 C 0.070      
5 C 0.070      
6 H 0.140      
7 H 0.130      
8 H 0.130      


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 -1.551 1.551
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.853 0.000 0.000
y 0.000 -33.740 0.000
z 0.000 0.000 -22.309
Traceless
 xyz
x -0.828 0.000 0.000
y 0.000 -8.159 0.000
z 0.000 0.000 8.988
Polar
3z2-r217.975
x2-y24.887
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.651 0.000 0.000
y 0.000 6.141 0.000
z 0.000 0.000 7.497


<r2> (average value of r2) Å2
<r2> 77.038
(<r2>)1/2 8.777