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All results from a given calculation for C3H4N2 (2H-Imidazole)

using model chemistry: B3PW91/6-311G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at B3PW91/6-311G*
 hartrees
Energy at 0K-226.081999
Energy at 298.15K-226.088024
HF Energy-226.081999
Nuclear repulsion energy167.082229
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 B3PW91/6-311G*
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 3223 3103 21.73      
2 A1 3069 2955 0.10      
3 A1 1719 1655 19.16      
4 A1 1420 1367 2.60      
5 A1 1393 1341 28.21      
6 A1 1263 1216 7.15      
7 A1 1041 1002 1.93      
8 A1 935 900 13.43      
9 A2 1152 1109 0.00      
10 A2 920 885 0.00      
11 A2 551 530 0.00      
12 B1 3106 2990 0.00      
13 B1 1010 972 19.91      
14 B1 828 797 7.00      
15 B1 376 362 39.23      
16 B2 3207 3087 10.33      
17 B2 1789 1722 0.73      
18 B2 1396 1344 38.61      
19 B2 1241 1195 1.32      
20 B2 1087 1047 32.09      
21 B2 937 902 77.48      

Unscaled Zero Point Vibrational Energy (zpe) 15830.1 cm-1
Scaled (by 0.9627) Zero Point Vibrational Energy (zpe) 15239.7 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 B3PW91/6-311G*
ABC
0.36296 0.30612 0.17148

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/6-311G*

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.196
N2 0.000 0.996 0.280
N3 0.000 -0.996 0.280
C4 0.000 0.726 -0.943
C5 0.000 -0.726 -0.943
H6 -0.892 0.000 1.832
H7 0.892 0.000 1.832
H8 0.000 1.475 -1.726
H9 0.000 -1.475 -1.726

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.35321.35322.25852.25851.09521.09523.27363.2736
N21.35321.99291.25262.11252.04822.04822.06323.1838
N31.35321.99292.11251.25262.04822.04823.18382.0632
C42.25851.25262.11251.45203.00343.00341.08422.3366
C52.25852.11251.25261.45203.00343.00342.33661.0842
H61.09522.04822.04823.00343.00341.78323.95393.9539
H71.09522.04822.04823.00343.00341.78323.95393.9539
H83.27362.06323.18381.08422.33663.95393.95392.9505
H93.27363.18382.06322.33661.08423.95393.95392.9505

picture of 2H-Imidazole state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 N2 C4 120.110 C1 N3 C5 120.110
N2 C1 N3 94.843 N2 C1 H6 113.136
N2 C1 H7 113.136 N2 C4 C5 102.468
N2 C4 H8 123.822 N3 C1 H6 113.136
N3 C1 H7 113.136 N3 C5 C4 102.468
N3 C5 H9 123.822 C4 C5 H9 133.710
C5 C4 H8 133.710 H6 C1 H7 108.998
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/6-311G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.221      
2 N -0.271      
3 N -0.271      
4 C -0.107      
5 C -0.107      
6 H 0.268      
7 H 0.268      
8 H 0.221      
9 H 0.221      


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 -0.619 0.619
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.140 0.000 0.000
y 0.000 -34.786 0.000
z 0.000 0.000 -21.592
Traceless
 xyz
x 0.049 0.000 0.000
y 0.000 -9.920 0.000
z 0.000 0.000 9.871
Polar
3z2-r219.742
x2-y26.646
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.720 0.000 0.000
y 0.000 5.315 0.000
z 0.000 0.000 8.008


<r2> (average value of r2) Å2
<r2> 76.784
(<r2>)1/2 8.763