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All results from a given calculation for C3H4N2 (1H-Imidazole)

using model chemistry: M06-2X/6-311G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at M06-2X/6-311G*
 hartrees
Energy at 0K-226.174847
Energy at 298.15K-226.180858
HF Energy-226.174847
Nuclear repulsion energy163.732671
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 M06-2X/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 A' 3711 3711 64.32      
2 A' 3294 3294 1.78      
3 A' 3271 3271 2.81      
4 A' 3263 3263 2.60      
5 A' 1599 1599 16.10      
6 A' 1539 1539 20.37      
7 A' 1470 1470 17.48      
8 A' 1397 1397 7.65      
9 A' 1296 1296 0.57      
10 A' 1190 1190 5.51      
11 A' 1163 1163 2.50      
12 A' 1113 1113 26.61      
13 A' 1094 1094 35.78      
14 A' 955 955 2.27      
15 A' 914 914 7.20      
16 A" 889 889 5.89      
17 A" 834 834 32.33      
18 A" 735 735 45.38      
19 A" 689 689 5.47      
20 A" 655 655 9.13      
21 A" 537 537 113.76      

Unscaled Zero Point Vibrational Energy (zpe) 15802.0 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 15802.0 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 M06-2X/6-311G*
ABC
0.32779 0.31536 0.16073

See section I.F.4 to change rotational constant units
Geometric Data calculated at M06-2X/6-311G*

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 1.101 0.000
C2 -1.085 0.279 0.000
C3 1.116 0.299 0.000
N4 -0.740 -0.981 0.000
C5 0.633 -0.980 0.000
H6 -0.010 2.107 0.000
H7 -2.096 0.659 0.000
H8 2.114 0.701 0.000
H9 1.194 -1.901 0.000

Atom - Atom Distances (Å)
  N1 C2 C3 N4 C5 H6 H7 H8 H9
N11.36131.37452.20962.17541.00592.14182.15173.2313
C21.36132.20081.30632.12992.12051.07953.22703.1543
C31.37452.20082.25391.36672.13053.23141.07682.2011
N42.20961.30632.25391.37283.17292.12753.31312.1422
C52.17542.12991.36671.37283.15353.18282.24111.0788
H61.00592.12052.13053.17293.15352.53882.54744.1854
H72.14181.07953.23142.12753.18282.53884.21004.1687
H82.15173.22701.07683.31312.24112.54744.21002.7605
H93.23133.15432.20112.14221.07884.18544.16872.7605

picture of 1H-Imidazole state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
N1 C2 N4 111.833 N1 C2 H7 122.256
N1 C3 C5 105.047 N1 C3 H8 122.283
C2 N1 C3 107.114 C2 N1 H6 126.562
C2 N4 C5 105.287 C3 N1 H6 126.324
C3 C5 N4 110.718 C3 C5 H9 127.941
N4 C2 H7 125.910 N4 C5 H9 121.341
C5 C3 H8 132.670
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at M06-2X/6-311G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.552      
2 C 0.088      
3 C -0.085      
4 N -0.334      
5 C -0.191      
6 H 0.369      
7 H 0.238      
8 H 0.242      
9 H 0.224      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  1.118 3.652 0.000 3.819
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -26.299 -3.269 0.000
y -3.269 -25.278 0.000
z 0.000 0.000 -32.040
Traceless
 xyz
x 2.360 -3.269 0.000
y -3.269 3.891 0.000
z 0.000 0.000 -6.251
Polar
3z2-r2-12.503
x2-y2-1.021
xy-3.269
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.124 -0.163 0.000
y -0.163 6.879 0.000
z 0.000 0.000 3.276


<r2> (average value of r2) Å2
<r2> 79.433
(<r2>)1/2 8.913