return to home page Computational Chemistry Comparison and Benchmark DataBase Release 22 (May 2022) Standard Reference Database 101 National Institute of Standards and Technology
You are here: Calculated > Energy > Optimized > Energy

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-39.062084
Energy at 298.15K-39.068044
HF Energy-39.062084
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' 3259 3259 13.70      
2 A' 3229 3229 12.37      
3 A' 3062 3062 1.76      
4 A' 1604 1604 36.11      
5 A' 1521 1521 11.53      
6 A' 1444 1444 33.65      
7 A' 1321 1321 26.01      
8 A' 1303 1303 7.73      
9 A' 1282 1282 8.58      
10 A' 1021 1021 49.86      
11 A' 999 999 18.72      
12 A' 949 949 4.62      
13 A' 874 874 15.61      
14 A' 866 866 1.94      
15 A" 3123 3123 2.37      
16 A" 1167 1167 0.01      
17 A" 1026 1026 19.72      
18 A" 957 957 1.06      
19 A" 781 781 12.39      
20 A" 574 574 24.82      
21 A" 378 378 10.47      

Unscaled Zero Point Vibrational Energy (zpe) 15369.2 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 15369.2 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
0.30805 0.28602 0.15256

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 -1.214 0.360 0.000
C2 0.000 1.168 0.000
N3 1.129 0.513 0.000
C4 0.743 -0.923 0.000
C5 -0.775 -0.876 0.000
H6 -0.077 2.246 0.000
H7 1.155 -1.423 0.885
H8 1.155 -1.423 -0.885
H9 -1.449 -1.725 0.000

Atom - Atom Distances (Å)
  N1 C2 N3 C4 C5 H6 H7 H8 H9
N11.45802.34792.34051.31122.20263.09453.09452.0980
C21.45801.30542.21912.18551.08132.97132.97133.2349
N32.34791.30541.48652.35652.11182.12822.12823.4131
C42.34052.21911.48651.51943.27381.09691.09692.3339
C51.31122.18552.35651.51943.19922.19332.19331.0837
H62.20261.08132.11183.27383.19923.97023.97024.2014
H73.09452.97132.12821.09692.19333.97021.77082.7670
H83.09452.97132.12821.09692.19333.97021.77082.7670
H92.09803.23493.41312.33391.08374.20142.76702.7670

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 116.232 N1 C2 H6 119.577
N1 C5 C4 111.338 N1 C5 H9 122.044
C2 N1 C5 104.093 C2 N3 C4 105.095
N3 C2 H6 124.191 N3 C4 C5 103.242
N3 C4 H7 110.016 N3 C4 H8 110.016
C4 C5 H9 126.618 C5 C4 H7 112.937
C5 C4 H8 112.937 H7 C4 H8 107.645
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 -0.017      
2 C -0.242      
3 N 0.026      
4 C -0.451      
5 C -0.158      
6 H 0.197      
7 H 0.223      
8 H 0.223      
9 H 0.201      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.139 -2.448 0.000 2.452
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -36.917 -0.764 0.000
y -0.764 -23.375 0.000
z 0.000 0.000 -28.981
Traceless
 xyz
x -10.739 -0.764 0.000
y -0.764 9.574 0.000
z 0.000 0.000 1.165
Polar
3z2-r22.331
x2-y2-13.542
xy-0.764
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.469 -0.466 0.000
y -0.466 7.737 0.000
z 0.000 0.000 4.057


<r2> (average value of r2) Å2
<r2> 69.244
(<r2>)1/2 8.321