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All results from a given calculation for C3H4N2 (1H-Imidazole)

using model chemistry: wB97X-D/aug-cc-pVTZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at wB97X-D/aug-cc-pVTZ
 hartrees
Energy at 0K-226.223150
Energy at 298.15K-226.229192
HF Energy-226.223150
Nuclear repulsion energy164.087804
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 wB97X-D/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 A' 3705 3544 64.57      
2 A' 3301 3157 0.84      
3 A' 3269 3127 0.58      
4 A' 3266 3125 5.11      
5 A' 1582 1514 12.34      
6 A' 1525 1458 22.12      
7 A' 1461 1397 14.55      
8 A' 1391 1331 6.87      
9 A' 1289 1233 0.27      
10 A' 1185 1134 4.55      
11 A' 1157 1107 2.56      
12 A' 1110 1062 21.83      
13 A' 1085 1038 35.08      
14 A' 950 909 1.71      
15 A' 909 870 6.64      
16 A" 901 862 4.27      
17 A" 838 801 28.78      
18 A" 744 712 44.94      
19 A" 688 658 4.58      
20 A" 654 625 9.20      
21 A" 555 531 96.70      

Unscaled Zero Point Vibrational Energy (zpe) 15782.0 cm-1
Scaled (by 0.9566) Zero Point Vibrational Energy (zpe) 15097.1 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 wB97X-D/aug-cc-pVTZ
ABC
0.32849 0.31746 0.16144

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/aug-cc-pVTZ

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 -0.738 -0.977 0.000
H2 -0.010 2.098 0.000
C3 1.112 0.296 0.000
H4 2.108 0.698 0.000
C5 0.633 -0.978 0.000
H6 1.193 -1.897 0.000
H7 -2.092 0.664 0.000
C8 -1.084 0.283 0.000
N9 0.000 1.096 0.000

Atom - Atom Distances (Å)
  N1 H2 C3 H4 C5 H6 H7 C8 N9
N13.15962.24563.30251.37032.13892.12711.30712.2001
H23.15962.12322.53893.14234.17192.52762.10851.0021
C32.24562.12321.07421.36112.19393.22512.19671.3704
H43.30252.53891.07422.23352.75184.20003.21942.1454
C51.37033.14231.36112.23351.07633.18062.13042.1682
H62.13894.17192.19392.75181.07634.16493.15283.2217
H72.12712.52763.22514.20003.18064.16491.07682.1358
C81.30712.10852.19673.21942.13043.15281.07681.3548
N92.20011.00211.37042.14542.16823.22172.13581.3548

picture of 1H-Imidazole state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
N1 C2 N4 69.866 N1 C2 H7 42.120
N1 C3 C5 34.834 N1 C3 H8 34.200
C2 N1 C3 42.167 C2 N1 H6 102.157
C2 N4 C5 82.092 C3 N1 H6 59.990
C3 C5 N4 20.708 C3 C5 H9 37.609
N4 C2 H7 111.986 N4 C5 H9 58.316
C5 C3 H8 69.034
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/aug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.495      
2 H 0.021      
3 C -0.386      
4 H 0.442      
5 C -0.188      
6 H 0.470      
7 H 0.477      
8 C -0.398      
9 N 0.057      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  1.145 3.611 0.000 3.789
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -26.679 -3.391 0.000
y -3.391 -25.718 0.000
z 0.000 0.000 -31.842
Traceless
 xyz
x 2.101 -3.391 0.000
y -3.391 3.543 0.000
z 0.000 0.000 -5.643
Polar
3z2-r2-11.287
x2-y2-0.961
xy-3.391
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.387 -0.073 0.000
y -0.073 8.044 0.000
z 0.000 0.000 5.000


<r2> (average value of r2) Å2
<r2> 79.291
(<r2>)1/2 8.905