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

using model chemistry: HSEh1PBE/6-31G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at HSEh1PBE/6-31G**
 hartrees
Energy at 0K-225.954666
Energy at 298.15K-225.960599
HF Energy-225.954666
Nuclear repulsion energy161.169009
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 HSEh1PBE/6-31G**
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 A' 3246 3098 13.78      
2 A' 3228 3080 8.50      
3 A' 3068 2928 0.94      
4 A' 1693 1616 44.99      
5 A' 1594 1521 13.17      
6 A' 1404 1340 21.44      
7 A' 1340 1278 27.63      
8 A' 1320 1260 5.49      
9 A' 1270 1212 6.93      
10 A' 1067 1018 51.68      
11 A' 1028 981 20.28      
12 A' 959 915 2.79      
13 A' 895 854 3.03      
14 A' 888 847 14.11      
15 A" 3108 2966 0.69      
16 A" 1163 1110 0.22      
17 A" 1008 962 10.88      
18 A" 970 925 1.22      
19 A" 753 719 5.45      
20 A" 572 546 22.59      
21 A" 367 350 8.71      

Unscaled Zero Point Vibrational Energy (zpe) 15469.9 cm-1
Scaled (by 0.9543) Zero Point Vibrational Energy (zpe) 14762.9 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 HSEh1PBE/6-31G**
ABC
0.32337 0.29457 0.15867

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/6-31G**

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 -1.196 0.361 0.000
C2 0.000 1.129 0.000
N3 1.117 0.499 0.000
C4 0.728 -0.895 0.000
C5 -0.764 -0.851 0.000
H6 -0.069 2.212 0.000
H7 1.136 -1.413 0.879
H8 1.136 -1.413 -0.879
H9 -1.435 -1.706 0.000

Atom - Atom Distances (Å)
  N1 C2 N3 C4 C5 H6 H7 H8 H9
N11.42062.31662.29801.28662.16683.05893.05892.0814
C21.42061.28202.15092.12181.08572.91932.91933.1771
N32.31661.28201.44742.31532.08322.10452.10453.3724
C42.29802.15091.44741.49333.20791.09851.09852.3100
C51.28662.12182.31531.49333.14082.16772.16771.0868
H62.16681.08572.08323.20793.14083.91983.91984.1496
H73.05892.91932.10451.09852.16773.91981.75772.7322
H83.05892.91932.10451.09852.16773.91981.75772.7322
H92.08143.17713.37242.31001.08684.14962.73222.7322

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 117.904 N1 C2 H6 119.061
N1 C5 C4 111.294 N1 C5 H9 122.333
C2 N1 C5 103.099 C2 N3 C4 103.839
N3 C2 H6 123.036 N3 C4 C5 103.864
N3 C4 H7 110.770 N3 C4 H8 110.770
C4 C5 H9 126.373 C5 C4 H7 112.631
C5 C4 H8 112.631 H7 C4 H8 106.275
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/6-31G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.394      
2 C 0.213      
3 N -0.387      
4 C -0.184      
5 C 0.088      
6 H 0.149      
7 H 0.184      
8 H 0.184      
9 H 0.148      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.040 -2.113 0.000 2.114
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -34.599 -0.635 0.000
y -0.635 -23.564 0.000
z 0.000 0.000 -28.523
Traceless
 xyz
x -8.556 -0.635 0.000
y -0.635 7.997 0.000
z 0.000 0.000 0.559
Polar
3z2-r21.118
x2-y2-11.035
xy-0.635
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.121 -0.363 0.000
y -0.363 7.262 0.000
z 0.000 0.000 3.470


<r2> (average value of r2) Å2
<r2> 80.910
(<r2>)1/2 8.995