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All results from a given calculation for C3H4N2 (4H-Imidazole)

using model chemistry: M06-2X/6-31G(2df,p)

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/6-31G(2df,p)
 hartrees
Energy at 0K-226.109988
Energy at 298.15K-226.115920
HF Energy-226.109988
Nuclear repulsion energy161.191564
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/6-31G(2df,p)
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' 3232 3078 10.65      
2 A' 3221 3068 8.33      
3 A' 3067 2921 0.99      
4 A' 1711 1629 48.87      
5 A' 1614 1537 15.21      
6 A' 1402 1335 16.85      
7 A' 1335 1272 32.09      
8 A' 1315 1252 4.58      
9 A' 1262 1202 5.90      
10 A' 1057 1006 52.46      
11 A' 1027 978 19.17      
12 A' 953 908 2.76      
13 A' 890 848 2.89      
14 A' 885 843 15.08      
15 A" 3110 2962 0.28      
16 A" 1162 1107 0.29      
17 A" 1019 971 11.05      
18 A" 985 938 1.33      
19 A" 759 723 3.58      
20 A" 567 540 21.65      
21 A" 358 341 6.65      

Unscaled Zero Point Vibrational Energy (zpe) 15465.0 cm-1
Scaled (by 0.9524) Zero Point Vibrational Energy (zpe) 14728.9 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/6-31G(2df,p)
ABC
0.32316 0.29446 0.15860

See section I.F.4 to change rotational constant units
Geometric Data calculated at M06-2X/6-31G(2df,p)

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 -1.197 0.352 0.000
C2 0.000 1.131 0.000
N3 1.112 0.506 0.000
C4 0.734 -0.895 0.000
C5 -0.763 -0.852 0.000
H6 -0.078 2.212 0.000
H7 1.140 -1.406 0.880
H8 1.140 -1.406 -0.880
H9 -1.427 -1.711 0.000

Atom - Atom Distances (Å)
  N1 C2 N3 C4 C5 H6 H7 H8 H9
N11.42802.31372.29881.28012.17053.05493.05492.0756
C21.42801.27512.15502.12491.08412.91792.91793.1798
N32.31371.27511.45152.31522.08002.10582.10583.3703
C42.29882.15501.45151.49773.21191.09631.09632.3097
C51.28012.12492.31521.49773.14002.16952.16951.0852
H62.17051.08412.08003.21193.14003.91863.91864.1482
H73.05492.91792.10581.09632.16953.91861.76092.7314
H83.05492.91792.10581.09632.16953.91861.76092.7314
H92.07563.17983.37032.30971.08524.14822.73142.7314

picture of 4H-Imidazole state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
N1 C2 N3 117.619 N1 C2 H6 118.900
N1 C5 C4 111.456 N1 C5 H9 122.475
C2 N1 C5 103.236 C2 N3 C4 104.253
N3 C2 H6 123.481 N3 C4 C5 103.435
N3 C4 H7 110.714 N3 C4 H8 110.714
C4 C5 H9 126.069 C5 C4 H7 112.593
C5 C4 H8 112.593 H7 C4 H8 106.855
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at M06-2X/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.226      
2 C 0.055      
3 N -0.222      
4 C -0.249      
5 C -0.008      
6 H 0.155      
7 H 0.171      
8 H 0.171      
9 H 0.154      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.020 -1.958 0.000 1.958
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -34.327 -0.601 0.000
y -0.601 -23.664 0.000
z 0.000 0.000 -28.522
Traceless
 xyz
x -8.234 -0.601 0.000
y -0.601 7.760 0.000
z 0.000 0.000 0.473
Polar
3z2-r20.947
x2-y2-10.663
xy-0.601
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.187 -0.345 0.000
y -0.345 7.359 0.000
z 0.000 0.000 3.802


<r2> (average value of r2) Å2
<r2> 80.891
(<r2>)1/2 8.994