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All results from a given calculation for C3H4N2 (2H-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 C2V 1A1
Energy calculated at HSEh1PBE/6-31G**
 hartrees
Energy at 0K-225.882687
Energy at 298.15K-225.888713
HF Energy-225.882687
Nuclear repulsion energy167.033951
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 A1 3258 3109 13.93      
2 A1 3083 2943 0.00      
3 A1 1751 1671 18.42      
4 A1 1430 1365 0.16      
5 A1 1393 1330 26.19      
6 A1 1277 1218 5.86      
7 A1 1054 1006 1.83      
8 A1 942 899 12.84      
9 A2 1147 1094 0.00      
10 A2 929 886 0.00      
11 A2 552 527 0.00      
12 B1 3126 2983 0.12      
13 B1 1007 961 18.20      
14 B1 830 792 3.48      
15 B1 373 356 41.54      
16 B2 3242 3094 10.01      
17 B2 1822 1739 0.08      
18 B2 1412 1347 34.60      
19 B2 1246 1189 0.53      
20 B2 1094 1044 29.82      
21 B2 930 888 78.55      

Unscaled Zero Point Vibrational Energy (zpe) 15948.5 cm-1
Scaled (by 0.9543) Zero Point Vibrational Energy (zpe) 15219.6 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/6-31G**
ABC
0.36342 0.30556 0.17141

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.197
N2 0.000 0.996 0.281
N3 0.000 -0.996 0.281
C4 0.000 0.725 -0.943
C5 0.000 -0.725 -0.943
H6 -0.893 0.000 1.833
H7 0.893 0.000 1.833
H8 0.000 1.471 -1.730
H9 0.000 -1.471 -1.730

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.35301.35302.25942.25941.09631.09633.27583.2758
N21.35301.99281.25442.11252.04892.04892.06683.1836
N31.35301.99282.11251.25442.04892.04893.18362.0668
C42.25941.25442.11251.44993.00533.00531.08452.3328
C52.25942.11251.25441.44993.00533.00532.33281.0845
H61.09632.04892.04893.00533.00531.78513.95723.9572
H71.09632.04892.04893.00533.00531.78513.95723.9572
H83.27582.06683.18361.08452.33283.95723.95722.9424
H93.27583.18362.06682.33281.08453.95723.95722.9424

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 120.072 C1 N3 C5 120.072
N2 C1 N3 94.859 N2 C1 H6 113.132
N2 C1 H7 113.132 N2 C4 C5 102.499
N2 C4 H8 124.018 N3 C1 H6 113.132
N3 C1 H7 113.132 N3 C5 C4 102.499
N3 C5 H9 124.018 C4 C5 H9 133.483
C5 C4 H8 133.483 H6 C1 H7 108.999
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 C 0.018      
2 N -0.387      
3 N -0.387      
4 C 0.038      
5 C 0.038      
6 H 0.196      
7 H 0.196      
8 H 0.144      
9 H 0.144      


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 -0.598 0.598
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -27.877 0.000 0.000
y 0.000 -34.449 0.000
z 0.000 0.000 -21.424
Traceless
 xyz
x 0.059 0.000 0.000
y 0.000 -9.799 0.000
z 0.000 0.000 9.740
Polar
3z2-r219.479
x2-y26.572
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.390 0.000 0.000
y 0.000 5.044 0.000
z 0.000 0.000 7.862


<r2> (average value of r2) Å2
<r2> 76.651
(<r2>)1/2 8.755