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All results from a given calculation for C3H4N2 (4H-Imidazole)

using model chemistry: B97D3/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 B97D3/cc-pVTZ
 hartrees
Energy at 0K-226.123141
Energy at 298.15K-226.128985
HF Energy-226.123141
Nuclear repulsion energy160.237256
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 B97D3/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' 3145 3101 15.14      
2 A' 3127 3083 14.55      
3 A' 2982 2940 3.38      
4 A' 1588 1565 41.89      
5 A' 1487 1466 7.12      
6 A' 1362 1343 21.68      
7 A' 1283 1265 22.21      
8 A' 1268 1251 3.88      
9 A' 1220 1203 8.40      
10 A' 1003 989 56.49      
11 A' 959 945 8.38      
12 A' 915 902 6.13      
13 A' 863 851 14.57      
14 A' 856 844 3.69      
15 A" 3011 2969 1.61      
16 A" 1128 1113 0.43      
17 A" 970 957 13.49      
18 A" 930 917 1.01      
19 A" 726 716 6.43      
20 A" 555 547 19.04      
21 A" 362 357 6.37      

Unscaled Zero Point Vibrational Energy (zpe) 14869.8 cm-1
Scaled (by 0.986) Zero Point Vibrational Energy (zpe) 14661.6 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 B97D3/cc-pVTZ
ABC
0.31887 0.29157 0.15672

See section I.F.4 to change rotational constant units
Geometric Data calculated at B97D3/cc-pVTZ

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 -1.202 0.358 0.000
C2 0.000 1.140 0.000
N3 1.121 0.507 0.000
C4 0.732 -0.902 0.000
C5 -0.767 -0.860 0.000
H6 -0.076 2.223 0.000
H7 1.144 -1.416 0.880
H8 1.144 -1.416 -0.880
H9 -1.437 -1.716 0.000

Atom - Atom Distances (Å)
  N1 C2 N3 C4 C5 H6 H7 H8 H9
N11.43372.32792.30791.29272.17873.06963.06962.0873
C21.43371.28742.16892.14151.08622.93502.93503.1971
N32.32791.28741.46192.33132.09252.11502.11503.3895
C42.30792.16891.46191.49993.22791.09901.09902.3169
C51.29272.14152.33131.49993.15942.17622.17621.0874
H62.17871.08622.09253.22793.15943.93783.93784.1679
H73.06962.93502.11501.09902.17623.93781.75942.7433
H83.06962.93502.11501.09902.17623.93781.75942.7433
H92.08733.19713.38952.31691.08744.16792.74332.7433

picture of 4H-Imidazole state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
N1 C2 N3 116.988 N1 C2 H6 119.097
N1 C5 C4 110.936 N1 C5 H9 122.955
C2 N1 C5 103.973 C2 N3 C4 104.631
N3 C2 H6 123.915 N3 C4 C5 103.473
N3 C4 H7 110.701 N3 C4 H8 110.701
C4 C5 H9 126.110 C5 C4 H7 112.638
C5 C4 H8 112.638 H7 C4 H8 106.760
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B97D3/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.172      
2 C 0.037      
3 N -0.195      
4 C -0.028      
5 C -0.046      
6 H 0.096      
7 H 0.097      
8 H 0.097      
9 H 0.114      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.072 -2.007 0.000 2.008
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -34.971 -0.622 0.000
y -0.622 -24.066 0.000
z 0.000 0.000 -28.777
Traceless
 xyz
x -8.549 -0.622 0.000
y -0.622 7.808 0.000
z 0.000 0.000 0.741
Polar
3z2-r21.483
x2-y2-10.905
xy-0.622
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.101 -0.290 0.000
y -0.290 8.097 0.000
z 0.000 0.000 4.449


<r2> (average value of r2) Å2
<r2> 81.879
(<r2>)1/2 9.049