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

using model chemistry: M06-2X/6-31G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at M06-2X/6-31G**
 hartrees
Energy at 0K-226.098633
Energy at 298.15K-226.104556
HF Energy-226.098633
Nuclear repulsion energy160.980200
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 M06-2X/6-31G**
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' 3243 3082 11.56      
2 A' 3231 3071 7.68      
3 A' 3077 2925 0.63      
4 A' 1719 1634 48.47      
5 A' 1622 1542 15.74      
6 A' 1416 1346 17.38      
7 A' 1341 1274 31.20      
8 A' 1322 1256 4.83      
9 A' 1270 1207 6.07      
10 A' 1058 1005 56.82      
11 A' 1026 975 17.68      
12 A' 957 909 2.28      
13 A' 893 848 3.04      
14 A' 886 842 13.65      
15 A" 3120 2965 0.53      
16 A" 1166 1108 0.17      
17 A" 1016 966 12.81      
18 A" 978 930 0.80      
19 A" 760 722 4.39      
20 A" 569 541 23.67      
21 A" 355 338 7.98      

Unscaled Zero Point Vibrational Energy (zpe) 15512.5 cm-1
Scaled (by 0.9504) Zero Point Vibrational Energy (zpe) 14743.1 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 M06-2X/6-31G**
ABC
0.32243 0.29362 0.15820

See section I.F.4 to change rotational constant units
Geometric Data calculated at M06-2X/6-31G**

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 -1.199 0.354 0.000
C2 0.000 1.132 0.000
N3 1.114 0.505 0.000
C4 0.734 -0.897 0.000
C5 -0.764 -0.853 0.000
H6 -0.075 2.214 0.000
H7 1.141 -1.407 0.882
H8 1.141 -1.407 -0.882
H9 -1.430 -1.711 0.000

Atom - Atom Distances (Å)
  N1 C2 N3 C4 C5 H6 H7 H8 H9
N11.42912.31772.30241.28302.17313.05813.05812.0784
C21.42911.27812.15762.12721.08502.91962.91963.1828
N32.31771.27811.45272.31812.08222.10572.10573.3743
C42.30242.15761.45271.49923.21481.09681.09682.3124
C51.28302.12722.31811.49923.14392.17132.17131.0862
H62.17311.08502.08223.21483.14393.92033.92034.1529
H73.05812.91962.10571.09682.17133.92031.76372.7350
H83.05812.91962.10571.09682.17133.92031.76372.7350
H92.07843.18283.37432.31241.08624.15292.73502.7350

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 117.662 N1 C2 H6 118.989
N1 C5 C4 111.464 N1 C5 H9 122.414
C2 N1 C5 103.187 C2 N3 C4 104.204
N3 C2 H6 123.349 N3 C4 C5 103.483
N3 C4 H7 110.588 N3 C4 H8 110.588
C4 C5 H9 126.122 C5 C4 H7 112.598
C5 C4 H8 112.598 H7 C4 H8 107.032
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at M06-2X/6-31G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.403      
2 C 0.221      
3 N -0.394      
4 C -0.170      
5 C 0.090      
6 H 0.150      
7 H 0.179      
8 H 0.179      
9 H 0.149      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.044 -2.080 0.000 2.081
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -34.797 -0.642 0.000
y -0.642 -23.673 0.000
z 0.000 0.000 -28.689
Traceless
 xyz
x -8.616 -0.642 0.000
y -0.642 8.070 0.000
z 0.000 0.000 0.545
Polar
3z2-r21.090
x2-y2-11.124
xy-0.642
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.061 -0.386 0.000
y -0.386 7.267 0.000
z 0.000 0.000 3.463


<r2> (average value of r2) Å2
<r2> 81.178
(<r2>)1/2 9.010