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

using model chemistry: mPW1PW91/6-311G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at mPW1PW91/6-311G**
 hartrees
Energy at 0K-226.189306
Energy at 298.15K-226.195256
HF Energy-226.189306
Nuclear repulsion energy161.443625
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 mPW1PW91/6-311G**
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' 3230 3091 12.25      
2 A' 3209 3070 8.91      
3 A' 3061 2928 1.25      
4 A' 1683 1610 47.59      
5 A' 1582 1514 12.01      
6 A' 1398 1338 25.60      
7 A' 1330 1273 28.35      
8 A' 1314 1257 5.43      
9 A' 1264 1210 6.84      
10 A' 1060 1014 53.93      
11 A' 1024 980 21.74      
12 A' 955 913 3.75      
13 A' 896 857 2.63      
14 A' 890 851 14.69      
15 A" 3095 2961 1.07      
16 A" 1164 1114 0.33      
17 A" 1010 966 14.46      
18 A" 974 932 1.17      
19 A" 755 722 6.26      
20 A" 573 548 22.98      
21 A" 366 351 7.93      

Unscaled Zero Point Vibrational Energy (zpe) 15416.6 cm-1
Scaled (by 0.9567) Zero Point Vibrational Energy (zpe) 14749.0 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 mPW1PW91/6-311G**
ABC
0.32407 0.29578 0.15918

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/6-311G**

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 -1.193 0.357 0.000
C2 0.000 1.129 0.000
N3 1.112 0.501 0.000
C4 0.729 -0.894 0.000
C5 -0.763 -0.851 0.000
H6 -0.072 2.210 0.000
H7 1.137 -1.408 0.878
H8 1.137 -1.408 -0.878
H9 -1.434 -1.703 0.000

Atom - Atom Distances (Å)
  N1 C2 N3 C4 C5 H6 H7 H8 H9
N11.42062.30962.29321.28222.16503.05213.05212.0741
C21.42061.27732.15032.12121.08322.91542.91543.1738
N32.30961.27731.44702.31132.07902.10142.10143.3672
C42.29322.15031.44701.49193.20551.09601.09602.3085
C51.28222.12122.31131.49193.13712.16552.16551.0847
H62.16501.08322.07903.20553.13713.91413.91414.1425
H73.05212.91542.10141.09602.16553.91411.75552.7322
H83.05212.91542.10141.09602.16553.91411.75552.7322
H92.07413.17383.36722.30851.08474.14252.73222.7322

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 117.664 N1 C2 H6 119.079
N1 C5 C4 111.285 N1 C5 H9 122.176
C2 N1 C5 103.289 C2 N3 C4 104.068
N3 C2 H6 123.256 N3 C4 C5 103.695
N3 C4 H7 110.693 N3 C4 H8 110.693
C4 C5 H9 126.539 C5 C4 H7 112.709
C5 C4 H8 112.709 H7 C4 H8 106.429
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/6-311G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.289      
2 C 0.140      
3 N -0.303      
4 C -0.155      
5 C 0.009      
6 H 0.129      
7 H 0.170      
8 H 0.170      
9 H 0.128      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.040 -2.107 0.000 2.108
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -34.963 -0.626 0.000
y -0.626 -23.694 0.000
z 0.000 0.000 -28.673
Traceless
 xyz
x -8.779 -0.626 0.000
y -0.626 8.124 0.000
z 0.000 0.000 0.656
Polar
3z2-r21.311
x2-y2-11.269
xy-0.626
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.369 -0.375 0.000
y -0.375 7.457 0.000
z 0.000 0.000 3.863


<r2> (average value of r2) Å2
<r2> 80.846
(<r2>)1/2 8.991