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

using model chemistry: HSEh1PBE/aug-cc-pVDZ

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/aug-cc-pVDZ
 hartrees
Energy at 0K-225.909480
Energy at 298.15K-225.915505
HF Energy-225.909480
Nuclear repulsion energy166.756568
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/aug-cc-pVDZ
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 3248 3125 13.81      
2 A1 3079 2963 0.36      
3 A1 1725 1660 19.09      
4 A1 1418 1364 0.56      
5 A1 1366 1315 37.01      
6 A1 1269 1221 4.71      
7 A1 1047 1007 0.41      
8 A1 938 902 11.28      
9 A2 1132 1089 0.00      
10 A2 919 885 0.00      
11 A2 547 526 0.00      
12 B1 3124 3006 1.69      
13 B1 994 956 22.87      
14 B1 827 796 5.02      
15 B1 370 356 37.71      
16 B2 3232 3110 4.04      
17 B2 1798 1730 0.35      
18 B2 1399 1347 37.84      
19 B2 1227 1180 1.16      
20 B2 1083 1042 31.00      
21 B2 928 893 71.10      

Unscaled Zero Point Vibrational Energy (zpe) 15834.0 cm-1
Scaled (by 0.9622) Zero Point Vibrational Energy (zpe) 15235.4 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 HSEh1PBE/aug-cc-pVDZ
ABC
0.36280 0.30418 0.17089

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/aug-cc-pVDZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.199
N2 0.000 0.997 0.282
N3 0.000 -0.997 0.282
C4 0.000 0.726 -0.946
C5 0.000 -0.726 -0.946
H6 -0.896 0.000 1.836
H7 0.896 0.000 1.836
H8 0.000 1.476 -1.734
H9 0.000 -1.476 -1.734

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.35411.35412.26412.26411.09971.09973.28373.2837
N21.35411.99311.25732.11512.05232.05232.07263.1907
N31.35411.99312.11511.25732.05232.05233.19072.0726
C42.26411.25732.11511.45143.01153.01151.08872.3390
C52.26412.11511.25731.45143.01153.01152.33901.0887
H61.09972.05232.05233.01153.01151.79253.96623.9662
H71.09972.05232.05233.01153.01151.79253.96623.9662
H83.28372.07263.19071.08872.33903.96623.96622.9528
H93.28373.19072.07262.33901.08873.96623.96622.9528

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 120.176 C1 N3 C5 120.176
N2 C1 N3 94.770 N2 C1 H6 113.102
N2 C1 H7 113.102 N2 C4 C5 102.439
N2 C4 H8 123.965 N3 C1 H6 113.102
N3 C1 H7 113.102 N3 C5 C4 102.439
N3 C5 H9 123.965 C4 C5 H9 133.596
C5 C4 H8 133.596 H6 C1 H7 109.169
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/aug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.923      
2 N -0.375      
3 N -0.375      
4 C 0.403      
5 C 0.403      
6 H -0.238      
7 H -0.238      
8 H -0.252      
9 H -0.252      


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 -0.835 0.835
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.628 0.000 0.000
y 0.000 -35.945 0.000
z 0.000 0.000 -21.749
Traceless
 xyz
x 0.218 0.000 0.000
y 0.000 -10.757 0.000
z 0.000 0.000 10.538
Polar
3z2-r221.076
x2-y27.317
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.943 0.000 0.000
y 0.000 7.246 0.000
z 0.000 0.000 8.778


<r2> (average value of r2) Å2
<r2> 77.390
(<r2>)1/2 8.797