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

using model chemistry: HSEh1PBE/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 HSEh1PBE/6-311G**
 hartrees
Energy at 0K-226.001528
Energy at 298.15K-226.007474
HF Energy-226.001528
Nuclear repulsion energy161.409357
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/6-311G**
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' 3224 3096 12.06      
2 A' 3203 3076 8.61      
3 A' 3054 2934 1.14      
4 A' 1680 1614 47.18      
5 A' 1580 1517 11.79      
6 A' 1391 1336 26.37      
7 A' 1327 1274 28.60      
8 A' 1310 1258 5.20      
9 A' 1260 1210 6.85      
10 A' 1060 1018 52.61      
11 A' 1024 983 22.64      
12 A' 954 916 3.71      
13 A' 896 860 2.81      
14 A' 889 854 14.82      
15 A" 3089 2966 0.92      
16 A" 1160 1114 0.32      
17 A" 1007 967 14.43      
18 A" 971 933 1.33      
19 A" 752 722 6.39      
20 A" 573 550 22.76      
21 A" 366 351 8.01      

Unscaled Zero Point Vibrational Energy (zpe) 15384.2 cm-1
Scaled (by 0.9604) Zero Point Vibrational Energy (zpe) 14775.0 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 HSEh1PBE/6-311G**
ABC
0.32397 0.29570 0.15913

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/6-311G**

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 -1.193 0.358 0.000
C2 0.000 1.129 0.000
N3 1.113 0.500 0.000
C4 0.728 -0.894 0.000
C5 -0.763 -0.851 0.000
H6 -0.071 2.211 0.000
H7 1.137 -1.409 0.878
H8 1.137 -1.409 -0.878
H9 -1.435 -1.704 0.000

Atom - Atom Distances (Å)
  N1 C2 N3 C4 C5 H6 H7 H8 H9
N11.42022.31012.29311.28292.16583.05343.05342.0758
C21.42021.27802.15002.12131.08442.91662.91663.1751
N32.31011.27801.44652.31152.08052.10222.10223.3686
C42.29312.15001.44651.49163.20631.09731.09732.3095
C51.28292.12132.31151.49163.13862.16632.16631.0859
H62.16581.08442.08053.20633.13863.91643.91644.1451
H73.05342.91662.10221.09732.16633.91641.75672.7335
H83.05342.91662.10221.09732.16633.91641.75672.7335
H92.07583.17513.36862.30951.08594.14512.73352.7335

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 117.676 N1 C2 H6 119.090
N1 C5 C4 111.260 N1 C5 H9 122.181
C2 N1 C5 103.281 C2 N3 C4 104.035
N3 C2 H6 123.234 N3 C4 C5 103.749
N3 C4 H7 110.707 N3 C4 H8 110.707
C4 C5 H9 126.559 C5 C4 H7 112.711
C5 C4 H8 112.711 H7 C4 H8 106.346
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/6-311G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.280      
2 C 0.129      
3 N -0.293      
4 C -0.163      
5 C 0.003      
6 H 0.131      
7 H 0.172      
8 H 0.172      
9 H 0.130      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.045 -2.104 0.000 2.105
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -35.005 -0.625 0.000
y -0.625 -23.770 0.000
z 0.000 0.000 -28.741
Traceless
 xyz
x -8.750 -0.625 0.000
y -0.625 8.103 0.000
z 0.000 0.000 0.647
Polar
3z2-r21.293
x2-y2-11.235
xy-0.625
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.388 -0.375 0.000
y -0.375 7.485 0.000
z 0.000 0.000 3.873


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