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

using model chemistry: wB97X-D/CEP-121G*

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/CEP-121G*
 hartrees
Energy at 0K-39.151646
Energy at 298.15K-39.157564
HF Energy-39.151646
Nuclear repulsion energy 
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/CEP-121G*
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' 3225 3225 23.08      
2 A' 3205 3205 19.13      
3 A' 3062 3062 6.33      
4 A' 1663 1663 58.26      
5 A' 1564 1564 17.78      
6 A' 1434 1434 18.75      
7 A' 1339 1339 29.80      
8 A' 1322 1322 9.68      
9 A' 1277 1277 7.61      
10 A' 1049 1049 62.85      
11 A' 1025 1025 21.99      
12 A' 941 941 2.93      
13 A' 879 879 2.90      
14 A' 874 874 12.28      
15 A" 3102 3102 6.19      
16 A" 1174 1174 0.04      
17 A" 1017 1017 17.16      
18 A" 968 968 0.05      
19 A" 765 765 5.95      
20 A" 562 562 23.60      
21 A" 363 363 6.73      

Unscaled Zero Point Vibrational Energy (zpe) 15403.9 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 15403.9 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/CEP-121G*
ABC
0.31889 0.29027 0.15639

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/CEP-121G*

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 -1.205 0.356 0.000
C2 0.000 1.138 0.000
N3 1.121 0.509 0.000
C4 0.739 -0.903 0.000
C5 -0.769 -0.858 0.000
H6 -0.078 2.223 0.000
H7 1.144 -1.414 0.884
H8 1.144 -1.414 -0.884
H9 -1.441 -1.715 0.000

Atom - Atom Distances (Å)
  N1 C2 N3 C4 C5 H6 H7 H8 H9
N11.43672.33112.31691.29042.18033.07193.07192.0844
C21.43671.28542.17122.13931.08722.93352.93353.1961
N32.33111.28541.46272.33252.09132.11672.11673.3920
C42.31692.17121.46271.50913.23081.09841.09842.3262
C51.29042.13932.33251.50913.15722.17982.17981.0885
H62.18031.08722.09133.23083.15723.93723.93724.1665
H73.07192.93352.11671.09842.17983.93721.76772.7484
H83.07192.93352.11671.09842.17983.93721.76772.7484
H92.08443.19613.39202.32621.08854.16652.74842.7484

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 117.716 N1 C2 H6 118.859
N1 C5 C4 111.470 N1 C5 H9 122.148
C2 N1 C5 103.214 C2 N3 C4 104.197
N3 C2 H6 123.425 N3 C4 C5 103.403
N3 C4 H7 110.674 N3 C4 H8 110.674
C4 C5 H9 126.383 C5 C4 H7 112.485
C5 C4 H8 112.485 H7 C4 H8 107.164
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/CEP-121G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.058      
2 C -0.216      
3 N -0.039      
4 C -0.379      
5 C -0.147      
6 H 0.195      
7 H 0.217      
8 H 0.217      
9 H 0.210      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.005 -2.200 0.000 2.200
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -35.267 -0.655 0.000
y -0.655 -23.345 0.000
z 0.000 0.000 -28.703
Traceless
 xyz
x -9.243 -0.655 0.000
y -0.655 8.640 0.000
z 0.000 0.000 0.603
Polar
3z2-r21.206
x2-y2-11.922
xy-0.655
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.599 -0.416 0.000
y -0.416 7.734 0.000
z 0.000 0.000 4.186


<r2> (average value of r2) Å2
<r2> 67.739
(<r2>)1/2 8.230