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

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

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-pVDZ
 hartrees
Energy at 0K-226.172139
Energy at 298.15K-226.178175
HF Energy-226.172139
Nuclear repulsion energy163.289099
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-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 A' 3704 3546 65.41      
2 A' 3314 3173 0.89      
3 A' 3283 3143 1.14      
4 A' 3278 3138 4.69      
5 A' 1581 1514 12.21      
6 A' 1525 1459 22.50      
7 A' 1470 1407 12.80      
8 A' 1396 1336 6.44      
9 A' 1282 1228 0.41      
10 A' 1191 1140 3.74      
11 A' 1153 1104 3.23      
12 A' 1107 1060 26.12      
13 A' 1083 1037 31.97      
14 A' 946 906 1.94      
15 A' 907 868 6.10      
16 A" 887 850 4.71      
17 A" 835 799 32.04      
18 A" 741 709 46.94      
19 A" 685 655 4.34      
20 A" 651 623 11.71      
21 A" 558 535 93.69      

Unscaled Zero Point Vibrational Energy (zpe) 15787.8 cm-1
Scaled (by 0.9573) Zero Point Vibrational Energy (zpe) 15113.7 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-pVDZ
ABC
0.32566 0.31412 0.15989

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

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 1.103 0.000
C2 -1.088 0.283 0.000
C3 1.118 0.299 0.000
N4 -0.741 -0.983 0.000
C5 0.634 -0.984 0.000
H6 -0.012 2.110 0.000
H7 -2.103 0.666 0.000
H8 2.122 0.704 0.000
H9 1.201 -1.909 0.000

Atom - Atom Distances (Å)
  N1 C2 C3 N4 C5 H6 H7 H8 H9
N11.36201.37622.21352.18061.00752.14812.15923.2422
C21.36202.20571.31302.13832.11981.08483.23773.1694
C31.37622.20572.25851.37122.13433.24161.08302.2101
N42.21351.31302.25851.37583.17782.13853.32372.1517
C52.18062.13831.37121.37583.16063.19612.25011.0849
H61.00752.11982.13433.17783.16062.54102.55594.1982
H72.14811.08483.24162.13853.19612.54104.22564.1889
H82.15923.23771.08303.32372.25012.55594.22562.7710
H93.24223.16942.21012.15171.08494.19824.18892.7710

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 111.670 N1 C2 H7 122.377
N1 C3 C5 105.063 N1 C3 H8 122.354
C2 N1 C3 107.323 C2 N1 H6 126.268
C2 N4 C5 105.337 C3 N1 H6 126.409
C3 C5 N4 110.607 C3 C5 H9 127.888
N4 C2 H7 125.953 N4 C5 H9 121.505
C5 C3 H8 132.583
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/aug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.168      
2 C 0.476      
3 C 0.691      
4 N -0.413      
5 C 0.376      
6 H -0.123      
7 H -0.191      
8 H -0.342      
9 H -0.305      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  1.158 3.628 0.000 3.808
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -26.706 -3.458 0.000
y -3.458 -25.804 0.000
z 0.000 0.000 -32.103
Traceless
 xyz
x 2.248 -3.458 0.000
y -3.458 3.600 0.000
z 0.000 0.000 -5.848
Polar
3z2-r2-11.696
x2-y2-0.902
xy-3.458
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.455 -0.071 0.000
y -0.071 8.098 0.000
z 0.000 0.000 5.034


<r2> (average value of r2) Å2
<r2> 79.982
(<r2>)1/2 8.943