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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-226.093924
Energy at 298.15K-226.099841
HF Energy-226.093924
Nuclear repulsion energy160.963522
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' 3259 3086 12.37      
2 A' 3245 3073 7.58      
3 A' 3089 2925 0.52      
4 A' 1721 1630 48.90      
5 A' 1624 1538 15.78      
6 A' 1434 1358 17.12      
7 A' 1345 1274 30.53      
8 A' 1327 1257 5.16      
9 A' 1278 1210 5.71      
10 A' 1058 1002 57.77      
11 A' 1028 974 16.72      
12 A' 960 909 2.31      
13 A' 893 846 2.89      
14 A' 886 839 13.42      
15 A" 3131 2965 0.50      
16 A" 1174 1112 0.22      
17 A" 1018 964 12.31      
18 A" 977 925 0.64      
19 A" 762 722 4.64      
20 A" 569 539 23.34      
21 A" 356 337 7.89      

Unscaled Zero Point Vibrational Energy (zpe) 15567.1 cm-1
Scaled (by 0.947) Zero Point Vibrational Energy (zpe) 14742.0 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 M06-2X/6-31G*
ABC
0.32249 0.29342 0.15816

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 0.506 0.000
C4 0.735 -0.897 0.000
C5 -0.765 -0.853 0.000
H6 -0.076 2.214 0.000
H7 1.143 -1.405 0.883
H8 1.143 -1.405 -0.883
H9 -1.432 -1.711 0.000

Atom - Atom Distances (Å)
  N1 C2 N3 C4 C5 H6 H7 H8 H9
N11.42922.31822.30321.28282.17303.05923.05922.0778
C21.42921.27792.15762.12681.08532.91902.91903.1824
N32.31821.27791.45312.31842.08222.10512.10513.3751
C42.30322.15761.45311.49993.21521.09721.09722.3138
C51.28282.12682.31841.49993.14352.17302.17301.0864
H62.17301.08532.08223.21523.14353.91993.91994.1524
H73.05922.91902.10511.09722.17303.91991.76512.7383
H83.05922.91902.10511.09722.17303.91991.76512.7383
H92.07783.18243.37512.31381.08644.15242.73832.7383

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 117.707 N1 C2 H6 118.942
N1 C5 C4 111.484 N1 C5 H9 122.343
C2 N1 C5 103.161 C2 N3 C4 104.196
N3 C2 H6 123.351 N3 C4 C5 103.451
N3 C4 H7 110.492 N3 C4 H8 110.492
C4 C5 H9 126.172 C5 C4 H7 112.669
C5 C4 H8 112.669 H7 C4 H8 107.102
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 -0.391      
2 C 0.167      
3 N -0.377      
4 C -0.261      
5 C 0.049      
6 H 0.191      
7 H 0.216      
8 H 0.216      
9 H 0.191      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.036 -2.076 0.000 2.076
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -34.812 -0.636 0.000
y -0.636 -23.720 0.000
z 0.000 0.000 -28.704
Traceless
 xyz
x -8.600 -0.636 0.000
y -0.636 8.037 0.000
z 0.000 0.000 0.562
Polar
3z2-r21.124
x2-y2-11.091
xy-0.636
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.021 -0.388 0.000
y -0.388 7.199 0.000
z 0.000 0.000 3.420


<r2> (average value of r2) Å2
<r2> 81.209
(<r2>)1/2 9.012