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

using model chemistry: LSDA/aug-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 LSDA/aug-cc-pVTZ
 hartrees
Energy at 0K-224.386578
Energy at 298.15K-224.390900
HF Energy-224.386578
Nuclear repulsion energy153.896496
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 LSDA/aug-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 3147 3117 0.00      
2 A1 3139 3110 5.38      
3 A1 1439 1425 30.99      
4 A1 1285 1273 44.02      
5 A1 1186 1175 20.13      
6 A1 977 968 1.05      
7 A1 897 888 3.36      
8 A2 864 856 0.00      
9 A2 542 537 0.00      
10 B1 862 854 0.00      
11 B1 690 684 30.72      
12 B1 440 435 21.10      
13 B2 3128 3098 0.05      
14 B2 1500 1485 20.69      
15 B2 1241 1229 0.63      
16 B2 1167 1156 0.15      
17 B2 1024 1014 94.48      
18 B2 811 803 0.23      

Unscaled Zero Point Vibrational Energy (zpe) 12168.4 cm-1
Scaled (by 0.9906) Zero Point Vibrational Energy (zpe) 12054.0 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 LSDA/aug-cc-pVTZ
ABC
0.35820 0.31128 0.16655

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.090
N2 0.000 1.155 0.370
N3 0.000 -1.155 0.370
C4 0.000 0.731 -0.871
C5 0.000 -0.731 -0.871
H6 0.000 0.000 2.181
H7 0.000 1.407 -1.727
H8 0.000 -1.407 -1.727

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8
C11.36071.36072.09212.09211.09123.14873.1487
N21.36072.30981.31132.25722.14762.11263.3107
N31.36072.30982.25721.31132.14763.31072.1126
C42.09211.31132.25721.46143.13781.09122.3026
C52.09212.25721.31131.46143.13782.30261.0912
H61.09122.14762.14763.13783.13784.15364.1536
H73.14872.11263.31071.09122.30264.15362.8131
H83.14873.31072.11262.30261.09124.15362.8131

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 103.049 C1 N3 C5 103.049
N2 C1 N3 116.155 N2 C1 H6 121.923
N2 C4 C5 108.874 N2 C4 H7 122.857
N3 C1 H6 121.923 N3 C5 C4 108.874
N3 C5 H8 122.857 C4 C5 H8 128.269
C5 C4 H7 128.269
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at LSDA/aug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.140      
2 N -0.430      
3 N -0.430      
4 C -0.166      
5 C -0.166      
6 H 0.460      
7 H 0.436      
8 H 0.436      


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 -1.633 1.633
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -29.625 0.000 0.000
y 0.000 -34.839 0.000
z 0.000 0.000 -22.513
Traceless
 xyz
x -0.949 0.000 0.000
y 0.000 -8.770 0.000
z 0.000 0.000 9.719
Polar
3z2-r219.439
x2-y25.214
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.600 0.000 0.000
y 0.000 7.614 0.000
z 0.000 0.000 8.400


<r2> (average value of r2) Å2
<r2> 76.008
(<r2>)1/2 8.718