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/6-31G(2df,p)

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/6-31G(2df,p)
 hartrees
Energy at 0K-226.128620
Energy at 298.15K-226.134579
HF Energy-226.128620
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/6-31G(2df,p)
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 A' 3239 3239 14.08      
2 A' 3219 3219 9.69      
3 A' 3068 3068 2.17      
4 A' 1696 1696 47.39      
5 A' 1599 1599 14.54      
6 A' 1414 1414 18.45      
7 A' 1338 1338 29.28      
8 A' 1316 1316 6.95      
9 A' 1271 1271 5.89      
10 A' 1065 1065 54.18      
11 A' 1028 1028 16.89      
12 A' 950 950 3.33      
13 A' 892 892 2.96      
14 A' 887 887 15.32      
15 A" 3111 3111 1.10      
16 A" 1170 1170 0.30      
17 A" 1021 1021 11.05      
18 A" 982 982 0.54      
19 A" 767 767 3.90      
20 A" 570 570 22.60      
21 A" 376 376 6.80      

Unscaled Zero Point Vibrational Energy (zpe) 15489.2 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 15489.2 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/6-31G(2df,p)
ABC
0.32304 0.29462 0.15862

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/6-31G(2df,p)

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 -1.196 0.357 0.000
C2 0.000 1.130 0.000
N3 1.114 0.503 0.000
C4 0.732 -0.897 0.000
C5 -0.764 -0.851 0.000
H6 -0.076 2.212 0.000
H7 1.137 -1.410 0.880
H8 1.137 -1.410 -0.880
H9 -1.431 -1.707 0.000

Atom - Atom Distances (Å)
  N1 C2 N3 C4 C5 H6 H7 H8 H9
N11.42392.31412.29981.28292.16663.05643.05642.0775
C21.42391.27762.15462.12301.08432.91882.91883.1775
N32.31411.27761.45102.31502.08142.10632.10633.3706
C42.29982.15461.45101.49693.21141.09681.09682.3101
C51.28292.12302.31501.49693.13892.16862.16861.0854
H62.16661.08432.08143.21143.13893.91953.91954.1465
H73.05642.91882.10631.09682.16863.91951.76072.7313
H83.05642.91882.10631.09682.16863.91951.76072.7313
H92.07753.17753.37062.31011.08544.14652.73132.7313

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 117.767 N1 C2 H6 118.866
N1 C5 C4 111.420 N1 C5 H9 122.408
C2 N1 C5 103.196 C2 N3 C4 104.123
N3 C2 H6 123.367 N3 C4 C5 103.493
N3 C4 H7 110.767 N3 C4 H8 110.767
C4 C5 H9 126.172 C5 C4 H7 112.556
C5 C4 H8 112.556 H7 C4 H8 106.776
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.233      
2 C 0.058      
3 N -0.236      
4 C -0.251      
5 C -0.008      
6 H 0.160      
7 H 0.175      
8 H 0.175      
9 H 0.160      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.004 -2.023 0.000 2.023
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -34.301 -0.582 0.000
y -0.582 -23.439 0.000
z 0.000 0.000 -28.305
Traceless
 xyz
x -8.429 -0.582 0.000
y -0.582 7.864 0.000
z 0.000 0.000 0.565
Polar
3z2-r21.130
x2-y2-10.862
xy-0.582
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.218 -0.349 0.000
y -0.349 7.326 0.000
z 0.000 0.000 3.809


<r2> (average value of r2) Å2
<r2> 80.789
(<r2>)1/2 8.988