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

using model chemistry: wB97X-D/6-311G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at wB97X-D/6-311G**
 hartrees
Energy at 0K-226.166901
Energy at 298.15K-226.172921
HF Energy-226.166901
Nuclear repulsion energy161.213444
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/6-311G**
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 3211 3071 18.01      
2 A1 3069 2935 2.18      
3 A1 1598 1528 6.74      
4 A1 1410 1349 21.93      
5 A1 1347 1288 13.31      
6 A1 1025 980 0.78      
7 A1 973 930 0.96      
8 A1 861 823 7.25      
9 A2 1198 1146 0.00      
10 A2 995 952 0.00      
11 A2 583 558 0.00      
12 B1 3107 2972 1.88      
13 B1 1031 986 29.21      
14 B1 847 810 1.59      
15 B1 394 377 32.52      
16 B2 3197 3058 8.85      
17 B2 1695 1621 0.78      
18 B2 1309 1252 1.87      
19 B2 1269 1214 0.12      
20 B2 1005 962 73.82      
21 B2 915 875 16.15      

Unscaled Zero Point Vibrational Energy (zpe) 15518.1 cm-1
Scaled (by 0.9565) Zero Point Vibrational Energy (zpe) 14843.0 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/6-311G**
ABC
0.32757 0.29094 0.15862

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/6-311G**

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.146
N2 0.000 1.091 0.284
N3 0.000 -1.091 0.284
C4 0.000 0.745 -0.913
C5 0.000 -0.745 -0.913
H6 -0.888 0.000 1.772
H7 0.888 0.000 1.772
H8 0.000 1.454 -1.723
H9 0.000 -1.454 -1.723

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.38981.38982.18932.18931.08661.08663.21633.2163
N21.38982.18111.24572.19172.04742.04742.04013.2409
N31.38982.18112.19171.24572.04742.04743.24092.0401
C42.18931.24572.19171.49092.92472.92471.07642.3437
C52.18932.19171.24571.49092.92472.92472.34371.0764
H61.08662.04742.04742.92472.92471.77543.88863.8886
H71.08662.04742.04742.92472.92471.77543.88863.8886
H83.21632.04013.24091.07642.34373.88863.88862.9074
H93.21633.24092.04012.34371.07643.88863.88862.9074

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 112.225 C1 N3 C5 112.225
N2 C1 N3 103.385 N2 C1 H6 110.946
N2 C1 H7 110.946 N2 C4 C5 106.083
N2 C4 H8 122.770 N3 C1 H6 110.946
N3 C1 H7 110.946 N3 C5 C4 106.083
N3 C5 H9 122.770 C4 C5 H9 131.147
C5 C4 H8 131.147 H6 C1 H7 109.561
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/6-311G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.038      
2 N -0.265      
3 N -0.265      
4 C -0.014      
5 C -0.014      
6 H 0.168      
7 H 0.168      
8 H 0.131      
9 H 0.131      


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 -1.186 1.186
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.742 0.000 0.000
y 0.000 -35.534 0.000
z 0.000 0.000 -22.976
Traceless
 xyz
x 0.513 0.000 0.000
y 0.000 -9.675 0.000
z 0.000 0.000 9.162
Polar
3z2-r218.324
x2-y26.792
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.764 0.000 0.000
y 0.000 5.236 0.000
z 0.000 0.000 7.994


<r2> (average value of r2) Å2
<r2> 81.012
(<r2>)1/2 9.001