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

using model chemistry: LSDA/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 LSDA/6-311G**
 hartrees
Energy at 0K-225.002286
Energy at 298.15K-225.008127
HF Energy-225.002286
Nuclear repulsion energy161.727711
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 LSDA/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' 3130 3092 6.07      
2 A' 3112 3074 3.65      
3 A' 2963 2926 1.81      
4 A' 1618 1598 43.00      
5 A' 1523 1504 7.41      
6 A' 1299 1283 39.68      
7 A' 1274 1258 30.87      
8 A' 1255 1239 2.72      
9 A' 1196 1182 7.71      
10 A' 1058 1045 32.24      
11 A' 1014 1002 38.58      
12 A' 938 926 3.73      
13 A' 880 869 8.11      
14 A' 875 865 15.34      
15 A" 2994 2957 0.84      
16 A" 1097 1083 0.24      
17 A" 953 941 13.55      
18 A" 925 913 2.34      
19 A" 712 704 8.79      
20 A" 563 556 20.47      
21 A" 347 342 11.69      

Unscaled Zero Point Vibrational Energy (zpe) 14861.6 cm-1
Scaled (by 0.9877) Zero Point Vibrational Energy (zpe) 14678.8 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 LSDA/6-311G**
ABC
0.32477 0.29828 0.16008

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

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 -1.185 0.367 0.000
C2 0.000 1.127 0.000
N3 1.113 0.489 0.000
C4 0.717 -0.889 0.000
C5 -0.761 -0.849 0.000
H6 -0.061 2.219 0.000
H7 1.135 -1.417 0.879
H8 1.135 -1.417 -0.879
H9 -1.445 -1.704 0.000

Atom - Atom Distances (Å)
  N1 C2 N3 C4 C5 H6 H7 H8 H9
N11.40762.30102.27941.28742.16623.05563.05562.0876
C21.40761.28342.14042.11781.09372.92162.92163.1789
N32.30101.28341.43372.30282.09162.09902.09903.3693
C42.27942.14041.43371.47933.20461.10721.10722.3106
C51.28742.11782.30281.47933.14702.16612.16611.0949
H62.16621.09372.09163.20463.14703.92793.92794.1603
H73.05562.92162.09901.10722.16613.92791.75822.7405
H83.05562.92162.09901.10722.16613.92791.75822.7405
H92.08763.17893.36932.31061.09494.16032.74052.7405

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 117.464 N1 C2 H6 119.475
N1 C5 C4 110.756 N1 C5 H9 122.191
C2 N1 C5 103.504 C2 N3 C4 103.816
N3 C2 H6 123.061 N3 C4 C5 104.460
N3 C4 H7 110.741 N3 C4 H8 110.741
C4 C5 H9 127.053 C5 C4 H7 112.959
C5 C4 H8 112.959 H7 C4 H8 105.117
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at LSDA/6-311G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.241      
2 C 0.062      
3 N -0.246      
4 C -0.252      
5 C -0.035      
6 H 0.154      
7 H 0.203      
8 H 0.203      
9 H 0.152      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.163 -2.172 0.000 2.179
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -35.004 -0.706 0.000
y -0.706 -23.882 0.000
z 0.000 0.000 -28.889
Traceless
 xyz
x -8.618 -0.706 0.000
y -0.706 8.065 0.000
z 0.000 0.000 0.554
Polar
3z2-r21.107
x2-y2-11.122
xy-0.706
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.600 -0.341 0.000
y -0.341 7.723 0.000
z 0.000 0.000 3.970


<r2> (average value of r2) Å2
<r2> 80.705
(<r2>)1/2 8.984