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: B3PW91/aug-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 B3PW91/aug-cc-pVTZ
 hartrees
Energy at 0K-226.185651
Energy at 298.15K-226.191587
HF Energy-226.185651
Nuclear repulsion energy161.434881
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 B3PW91/aug-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' 3207 3096 9.92      
2 A' 3187 3076 7.94      
3 A' 3038 2932 2.04      
4 A' 1658 1600 49.68      
5 A' 1557 1503 11.61      
6 A' 1385 1337 25.36      
7 A' 1322 1276 28.74      
8 A' 1304 1259 5.51      
9 A' 1256 1212 5.50      
10 A' 1047 1010 54.36      
11 A' 1009 974 18.93      
12 A' 948 915 3.96      
13 A' 886 855 1.61      
14 A' 882 851 13.33      
15 A" 3069 2962 0.20      
16 A" 1157 1116 0.44      
17 A" 1003 968 13.87      
18 A" 969 935 1.77      
19 A" 748 722 5.53      
20 A" 570 550 21.30      
21 A" 368 355 6.33      

Unscaled Zero Point Vibrational Energy (zpe) 15283.7 cm-1
Scaled (by 0.9651) Zero Point Vibrational Energy (zpe) 14750.3 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 B3PW91/aug-cc-pVTZ
ABC
0.32327 0.29648 0.15917

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/aug-cc-pVTZ

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 -1.191 0.357 0.000
C2 0.000 1.132 0.000
N3 1.111 0.501 0.000
C4 0.727 -0.895 0.000
C5 -0.762 -0.852 0.000
H6 -0.071 2.212 0.000
H7 1.136 -1.411 0.877
H8 1.136 -1.411 -0.877
H9 -1.432 -1.704 0.000

Atom - Atom Distances (Å)
  N1 C2 N3 C4 C5 H6 H7 H8 H9
N11.42052.30652.29111.28272.16683.05083.05082.0756
C21.42051.27782.15352.12461.08302.91912.91913.1768
N32.30651.27781.44772.31032.08022.10282.10283.3658
C42.29112.15351.44771.49023.20851.09581.09582.3058
C51.28272.12462.31031.49023.14082.16402.16401.0842
H62.16681.08302.08023.20853.14083.91793.91794.1462
H73.05082.91912.10281.09582.16403.91791.75332.7290
H83.05082.91912.10281.09582.16403.91791.75332.7290
H92.07563.17683.36582.30581.08424.14622.72902.7290

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 117.378 N1 C2 H6 119.271
N1 C5 C4 111.211 N1 C5 H9 122.324
C2 N1 C5 103.502 C2 N3 C4 104.219
N3 C2 H6 123.351 N3 C4 C5 103.690
N3 C4 H7 110.770 N3 C4 H8 110.770
C4 C5 H9 126.465 C5 C4 H7 112.724
C5 C4 H8 112.724 H7 C4 H8 106.263
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/aug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.428      
2 C -0.199      
3 N -0.509      
4 C 0.059      
5 C -0.337      
6 H 0.491      
7 H 0.224      
8 H 0.224      
9 H 0.475      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.037 -2.112 0.000 2.112
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -35.375 -0.653 0.000
y -0.653 -23.897 0.000
z 0.000 0.000 -28.928
Traceless
 xyz
x -8.963 -0.653 0.000
y -0.653 8.255 0.000
z 0.000 0.000 0.708
Polar
3z2-r21.416
x2-y2-11.478
xy-0.653
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.604 -0.277 0.000
y -0.277 8.185 0.000
z 0.000 0.000 4.950


<r2> (average value of r2) Å2
<r2> 81.035
(<r2>)1/2 9.002