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: PBEPBE/STO-3G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at PBEPBE/STO-3G
 hartrees
Energy at 0K-223.065586
Energy at 298.15K-223.071063
HF Energy-223.065586
Nuclear repulsion energy154.403955
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 PBEPBE/STO-3G
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' 3385 3092 2.94      
2 A' 3379 3087 10.97      
3 A' 3237 2958 11.24      
4 A' 1600 1462 9.62      
5 A' 1531 1399 10.23      
6 A' 1476 1348 3.24      
7 A' 1308 1195 6.08      
8 A' 1296 1184 18.37      
9 A' 1254 1146 1.54      
10 A' 990 904 14.68      
11 A' 968 884 6.81      
12 A' 950 868 8.42      
13 A' 853 779 5.02      
14 A' 831 759 1.51      
15 A" 3336 3048 3.63      
16 A" 1163 1062 0.56      
17 A" 970 886 4.45      
18 A" 894 816 0.18      
19 A" 746 682 12.63      
20 A" 531 486 6.95      
21 A" 360 329 8.72      

Unscaled Zero Point Vibrational Energy (zpe) 15529.1 cm-1
Scaled (by 0.9136) Zero Point Vibrational Energy (zpe) 14187.4 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 PBEPBE/STO-3G
ABC
0.29987 0.26669 0.14514

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/STO-3G

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 -1.275 0.365 0.000
C2 0.000 1.168 0.000
N3 1.183 0.538 0.000
C4 0.752 -0.939 0.000
C5 -0.781 -0.885 0.000
H6 -0.079 2.275 0.000
H7 1.169 -1.446 0.902
H8 1.169 -1.446 -0.902
H9 -1.442 -1.774 0.000

Atom - Atom Distances (Å)
  N1 C2 N3 C4 C5 H6 H7 H8 H9
N11.50722.46482.41061.34402.25343.17343.17342.1458
C21.50721.34072.23772.19671.10933.00273.00273.2770
N32.46481.34071.53922.42582.14702.17982.17983.4989
C42.41062.23771.53921.53413.31971.11581.11582.3479
C51.34402.19672.42581.53413.23662.22112.22111.1083
H62.25341.10932.14703.31973.23664.02714.02714.2723
H73.17343.00272.17981.11582.22114.02711.80452.7826
H83.17343.00272.17981.11582.22114.02711.80452.7826
H92.14583.27703.49892.34791.10834.27232.78262.7826

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 119.763 N1 C2 H6 118.113
N1 C5 C4 113.607 N1 C5 H9 121.794
C2 N1 C5 100.632 C2 N3 C4 101.752
N3 C2 H6 122.124 N3 C4 C5 104.246
N3 C4 H7 109.338 N3 C4 H8 109.338
C4 C5 H9 124.599 C5 C4 H7 112.949
C5 C4 H8 112.949 H7 C4 H8 107.914
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/STO-3G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.195      
2 C 0.046      
3 N -0.192      
4 C -0.109      
5 C 0.006      
6 H 0.105      
7 H 0.117      
8 H 0.117      
9 H 0.105      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.202 -1.809 0.000 1.820
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -32.245 -0.484 0.000
y -0.484 -23.155 0.000
z 0.000 0.000 -26.526
Traceless
 xyz
x -7.404 -0.484 0.000
y -0.484 6.231 0.000
z 0.000 0.000 1.173
Polar
3z2-r22.347
x2-y2-9.090
xy-0.484
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.672 -0.207 0.000
y -0.207 4.889 0.000
z 0.000 0.000 1.673


<r2> (average value of r2) Å2
<r2> 85.393
(<r2>)1/2 9.241