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All results from a given calculation for C3H4N2 (2H-Imidazole)

using model chemistry: HSEh1PBE/6-311+G(3df,2p)

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at HSEh1PBE/6-311+G(3df,2p)
 hartrees
Energy at 0K-225.956327
Energy at 298.15K-225.962370
HF Energy-225.956327
Nuclear repulsion energy167.389951
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/6-311+G(3df,2p)
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 A1 3230 3230 14.11      
2 A1 3064 3064 0.38      
3 A1 1719 1719 20.62      
4 A1 1415 1415 0.19      
5 A1 1379 1379 36.00      
6 A1 1260 1260 4.70      
7 A1 1045 1045 0.99      
8 A1 941 941 10.58      
9 A2 1144 1144 0.00      
10 A2 936 936 0.00      
11 A2 552 552 0.00      
12 B1 3099 3099 1.91      
13 B1 1002 1002 22.12      
14 B1 833 833 4.80      
15 B1 376 376 37.70      
16 B2 3215 3215 4.05      
17 B2 1793 1793 0.43      
18 B2 1396 1396 35.42      
19 B2 1242 1242 1.24      
20 B2 1086 1086 34.41      
21 B2 936 936 70.33      

Unscaled Zero Point Vibrational Energy (zpe) 15831.6 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 15831.6 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/6-311+G(3df,2p)
ABC
0.36419 0.30739 0.17213

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/6-311+G(3df,2p)

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.193
N2 0.000 0.996 0.280
N3 0.000 -0.996 0.280
C4 0.000 0.724 -0.940
C5 0.000 -0.724 -0.940
H6 -0.890 0.000 1.829
H7 0.890 0.000 1.829
H8 0.000 1.466 -1.727
H9 0.000 -1.466 -1.727

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.35161.35162.25272.25271.09401.09403.26743.2674
N21.35161.99251.25012.10852.04582.04582.06103.1762
N31.35161.99252.10851.25012.04582.04583.17622.0610
C42.25271.25012.10851.44712.99752.99751.08162.3264
C52.25272.10851.25011.44712.99752.99752.32641.0816
H61.09402.04582.04582.99752.99751.78023.94803.9480
H71.09402.04582.04582.99752.99751.78023.94803.9480
H83.26742.06103.17621.08162.32643.94803.94802.9314
H93.26743.17622.06102.32641.08163.94803.94802.9314

picture of 2H-Imidazole state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 N2 C4 119.915 C1 N3 C5 119.915
N2 C1 N3 94.969 N2 C1 H6 113.132
N2 C1 H7 113.132 N2 C4 C5 102.601
N2 C4 H8 124.073 N3 C1 H6 113.132
N3 C1 H7 113.132 N3 C5 C4 102.601
N3 C5 H9 124.073 C4 C5 H9 133.327
C5 C4 H8 133.327 H6 C1 H7 108.912
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/6-311+G(3df,2p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.743      
2 N -1.019      
3 N -1.019      
4 C 0.343      
5 C 0.343      
6 H 0.142      
7 H 0.142      
8 H 0.163      
9 H 0.163      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.000 0.000 -0.827 0.827
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.567 0.000 0.000
y 0.000 -35.782 0.000
z 0.000 0.000 -21.731
Traceless
 xyz
x 0.189 0.000 0.000
y 0.000 -10.633 0.000
z 0.000 0.000 10.443
Polar
3z2-r220.887
x2-y27.215
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.873 0.000 0.000
y 0.000 7.086 0.000
z 0.000 0.000 8.629


<r2> (average value of r2) Å2
<r2> 76.881
(<r2>)1/2 8.768