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

using model chemistry: B3PW91/6-311G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at B3PW91/6-311G*
 hartrees
Energy at 0K-226.152909
Energy at 298.15K-226.158833
HF Energy-226.152909
Nuclear repulsion energy161.158298
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 B3PW91/6-311G*
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' 3217 3097 16.68      
2 A' 3195 3076 13.29      
3 A' 3048 2934 2.20      
4 A' 1668 1606 47.01      
5 A' 1567 1509 10.99      
6 A' 1409 1357 26.11      
7 A' 1328 1278 26.72      
8 A' 1312 1263 5.50      
9 A' 1266 1219 7.65      
10 A' 1049 1010 56.46      
11 A' 1015 977 18.42      
12 A' 949 913 4.07      
13 A' 890 857 2.06      
14 A' 885 852 14.78      
15 A" 3081 2966 2.07      
16 A" 1170 1126 0.34      
17 A" 1002 964 14.35      
18 A" 961 925 0.51      
19 A" 750 722 7.76      
20 A" 570 549 21.83      
21 A" 368 354 8.10      

Unscaled Zero Point Vibrational Energy (zpe) 15349.7 cm-1
Scaled (by 0.9627) Zero Point Vibrational Energy (zpe) 14777.2 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 B3PW91/6-311G*
ABC
0.32321 0.29448 0.15860

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/6-311G*

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 -1.196 0.358 0.000
C2 0.000 1.130 0.000
N3 1.115 0.502 0.000
C4 0.730 -0.896 0.000
C5 -0.764 -0.852 0.000
H6 -0.072 2.213 0.000
H7 1.142 -1.410 0.878
H8 1.142 -1.410 -0.878
H9 -1.439 -1.704 0.000

Atom - Atom Distances (Å)
  N1 C2 N3 C4 C5 H6 H7 H8 H9
N11.42312.31492.29771.28452.16853.05903.05902.0761
C21.42311.27952.15322.12391.08522.91932.91933.1779
N32.31491.27951.44992.31582.08212.10362.10363.3743
C42.29772.15321.44991.49453.21031.09751.09752.3141
C51.28452.12392.31581.49453.14172.17112.17111.0867
H62.16851.08522.08213.21033.14173.91963.91964.1481
H73.05902.91932.10361.09752.17113.91961.75632.7415
H83.05902.91932.10361.09752.17113.91961.75632.7415
H92.07613.17793.37432.31411.08674.14812.74152.7415

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 117.764 N1 C2 H6 119.045
N1 C5 C4 111.317 N1 C5 H9 121.997
C2 N1 C5 103.219 C2 N3 C4 103.990
N3 C2 H6 123.191 N3 C4 C5 103.711
N3 C4 H7 110.576 N3 C4 H8 110.576
C4 C5 H9 126.687 C5 C4 H7 112.884
C5 C4 H8 112.884 H7 C4 H8 106.291
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/6-311G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.275      
2 C 0.031      
3 N -0.265      
4 C -0.411      
5 C -0.051      
6 H 0.227      
7 H 0.262      
8 H 0.262      
9 H 0.221      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.040 -2.106 0.000 2.107
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -34.982 -0.617 0.000
y -0.617 -23.722 0.000
z 0.000 0.000 -28.748
Traceless
 xyz
x -8.747 -0.617 0.000
y -0.617 8.143 0.000
z 0.000 0.000 0.604
Polar
3z2-r21.208
x2-y2-11.260
xy-0.617
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.380 -0.377 0.000
y -0.377 7.453 0.000
z 0.000 0.000 3.822


<r2> (average value of r2) Å2
<r2> 81.096
(<r2>)1/2 9.005