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

using model chemistry: HSEh1PBE/aug-cc-pVTZ

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-pVTZ
 hartrees
Energy at 0K-225.961617
Energy at 298.15K-225.967665
HF Energy-225.961617
Nuclear repulsion energy167.373825
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-pVTZ
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 3232 3108 14.22      
2 A1 3065 2948 0.44      
3 A1 1717 1651 21.01      
4 A1 1414 1360 0.20      
5 A1 1377 1324 36.22      
6 A1 1260 1211 4.63      
7 A1 1044 1004 1.00      
8 A1 941 905 10.65      
9 A2 1143 1099 0.00      
10 A2 938 902 0.00      
11 A2 553 532 0.00      
12 B1 3102 2983 1.93      
13 B1 1001 963 22.37      
14 B1 834 802 4.71      
15 B1 378 363 37.44      
16 B2 3217 3094 4.11      
17 B2 1791 1722 0.38      
18 B2 1395 1341 35.42      
19 B2 1239 1192 1.25      
20 B2 1084 1043 33.65      
21 B2 935 900 70.52      

Unscaled Zero Point Vibrational Energy (zpe) 15828.5 cm-1
Scaled (by 0.9618) Zero Point Vibrational Energy (zpe) 15223.8 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-pVTZ
ABC
0.36411 0.30733 0.17210

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

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 -1.726
H9 0.000 -1.466 -1.726

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.35171.35172.25322.25321.09381.09383.26753.2675
N21.35171.99251.25022.10882.04562.04562.06073.1765
N31.35171.99252.10881.25022.04562.04563.17652.0607
C42.25321.25022.10881.44742.99732.99731.08152.3269
C52.25322.10881.25021.44742.99732.99732.32691.0815
H61.09382.04562.04562.99732.99731.78093.94743.9474
H71.09382.04562.04562.99732.99731.78093.94743.9474
H83.26752.06073.17651.08152.32693.94743.94742.9328
H93.26753.17652.06072.32691.08153.94743.94742.9328

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 119.929 C1 N3 C5 119.929
N2 C1 N3 94.956 N2 C1 H6 113.112
N2 C1 H7 113.112 N2 C4 C5 102.593
N2 C4 H8 124.035 N3 C1 H6 113.112
N3 C1 H7 113.112 N3 C5 C4 102.593
N3 C5 H9 124.035 C4 C5 H9 133.372
C5 C4 H8 133.372 H6 C1 H7 108.991
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/aug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.140      
2 N -0.427      
3 N -0.427      
4 C -0.278      
5 C -0.278      
6 H 0.290      
7 H 0.290      
8 H 0.485      
9 H 0.485      


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 -0.830 0.830
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.526 0.000 0.000
y 0.000 -35.780 0.000
z 0.000 0.000 -21.776
Traceless
 xyz
x 0.252 0.000 0.000
y 0.000 -10.629 0.000
z 0.000 0.000 10.377
Polar
3z2-r220.754
x2-y27.254
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.914 0.000 0.000
y 0.000 7.177 0.000
z 0.000 0.000 8.682


<r2> (average value of r2) Å2
<r2> 76.890
(<r2>)1/2 8.769