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

using model chemistry: PBE1PBE/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 PBE1PBE/6-31G**
 hartrees
Energy at 0K-225.930489
Energy at 298.15K-225.936431
HF Energy-225.930489
Nuclear repulsion energy161.150517
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 PBE1PBE/6-31G**
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' 3258 3105 14.68      
2 A' 3239 3087 8.91      
3 A' 3076 2932 0.84      
4 A' 1698 1618 45.15      
5 A' 1599 1524 13.36      
6 A' 1425 1358 21.73      
7 A' 1345 1282 27.30      
8 A' 1326 1264 6.01      
9 A' 1279 1219 6.56      
10 A' 1070 1020 52.31      
11 A' 1033 984 19.89      
12 A' 964 918 2.83      
13 A' 895 853 3.08      
14 A' 888 846 13.84      
15 A" 3115 2969 0.71      
16 A" 1173 1118 0.23      
17 A" 1011 964 11.02      
18 A" 969 924 0.83      
19 A" 756 721 6.11      
20 A" 572 545 22.41      
21 A" 368 351 8.74      

Unscaled Zero Point Vibrational Energy (zpe) 15528.7 cm-1
Scaled (by 0.9531) Zero Point Vibrational Energy (zpe) 14800.4 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 PBE1PBE/6-31G**
ABC
0.32352 0.29429 0.15864

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/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 1.128 0.000
N3 1.117 0.499 0.000
C4 0.729 -0.895 0.000
C5 -0.765 -0.850 0.000
H6 -0.069 2.212 0.000
H7 1.137 -1.411 0.880
H8 1.137 -1.411 -0.880
H9 -1.436 -1.705 0.000

Atom - Atom Distances (Å)
  N1 C2 N3 C4 C5 H6 H7 H8 H9
N11.42072.31742.29901.28652.16673.05993.05992.0808
C21.42071.28182.15052.12101.08622.91822.91823.1766
N32.31741.28181.44762.31562.08342.10362.10363.3735
C42.29902.15051.44761.49413.20811.09901.09902.3117
C51.28652.12102.31561.49413.14032.16952.16951.0873
H62.16671.08622.08343.20813.14033.91893.91894.1491
H73.05992.91822.10361.09902.16953.91891.76022.7360
H83.05992.91822.10361.09902.16953.91891.76022.7360
H92.08083.17663.37352.31171.08734.14912.73602.7360

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 117.979 N1 C2 H6 118.999
N1 C5 C4 111.327 N1 C5 H9 122.239
C2 N1 C5 103.044 C2 N3 C4 103.814
N3 C2 H6 123.022 N3 C4 C5 103.836
N3 C4 H7 110.643 N3 C4 H8 110.643
C4 C5 H9 126.434 C5 C4 H7 112.692
C5 C4 H8 112.692 H7 C4 H8 106.419
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/6-31G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.379      
2 C 0.153      
3 N -0.367      
4 C -0.290      
5 C 0.042      
6 H 0.194      
7 H 0.226      
8 H 0.226      
9 H 0.194      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.029 -2.114 0.000 2.114
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -34.612 -0.624 0.000
y -0.624 -23.571 0.000
z 0.000 0.000 -28.547
Traceless
 xyz
x -8.553 -0.624 0.000
y -0.624 8.009 0.000
z 0.000 0.000 0.544
Polar
3z2-r21.089
x2-y2-11.041
xy-0.624
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.082 -0.366 0.000
y -0.366 7.192 0.000
z 0.000 0.000 3.431


<r2> (average value of r2) Å2
<r2> 80.933
(<r2>)1/2 8.996