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

using model chemistry: M06-2X/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 M06-2X/6-311G*
 hartrees
Energy at 0K-226.147539
Energy at 298.15K-226.153467
HF Energy-226.147539
Nuclear repulsion energy161.186334
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/6-311G*
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 A' 3236 3236 11.12      
2 A' 3221 3221 8.35      
3 A' 3070 3070 0.84      
4 A' 1707 1707 51.61      
5 A' 1607 1607 14.18      
6 A' 1423 1423 21.21      
7 A' 1337 1337 31.06      
8 A' 1322 1322 5.08      
9 A' 1273 1273 6.38      
10 A' 1051 1051 60.45      
11 A' 1024 1024 17.92      
12 A' 953 953 3.23      
13 A' 894 894 2.92      
14 A' 888 888 13.37      
15 A" 3109 3109 0.57      
16 A" 1178 1178 0.36      
17 A" 1017 1017 15.79      
18 A" 978 978 0.53      
19 A" 761 761 6.40      
20 A" 571 571 23.52      
21 A" 353 353 7.55      

Unscaled Zero Point Vibrational Energy (zpe) 15484.6 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 15484.6 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/6-311G*
ABC
0.32322 0.29426 0.15856

See section I.F.4 to change rotational constant units
Geometric Data calculated at M06-2X/6-311G*

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 -1.197 0.351 0.000
C2 0.000 1.131 0.000
N3 1.111 0.507 0.000
C4 0.735 -0.896 0.000
C5 -0.763 -0.853 0.000
H6 -0.078 2.212 0.000
H7 1.144 -1.402 0.881
H8 1.144 -1.402 -0.881
H9 -1.432 -1.708 0.000

Atom - Atom Distances (Å)
  N1 C2 N3 C4 C5 H6 H7 H8 H9
N11.42942.31312.29921.27922.17193.05443.05442.0719
C21.42941.27392.15632.12601.08362.91582.91583.1798
N32.31311.27391.45252.31552.07862.10262.10263.3719
C42.29922.15631.45251.49893.21261.09511.09512.3136
C51.27922.12602.31551.49893.14062.17182.17181.0852
H62.17191.08362.07863.21263.14063.91553.91554.1471
H73.05442.91582.10261.09512.17183.91551.76122.7394
H83.05442.91582.10261.09512.17183.91551.76122.7394
H92.07193.17983.37192.31361.08524.14712.73942.7394

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 117.552 N1 C2 H6 118.958
N1 C5 C4 111.465 N1 C5 H9 122.181
C2 N1 C5 103.290 C2 N3 C4 104.343
N3 C2 H6 123.490 N3 C4 C5 103.350
N3 C4 H7 110.462 N3 C4 H8 110.462
C4 C5 H9 126.354 C5 C4 H7 112.771
C5 C4 H8 112.771 H7 C4 H8 107.056
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at M06-2X/6-311G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.298      
2 C 0.040      
3 N -0.277      
4 C -0.442      
5 C -0.041      
6 H 0.240      
7 H 0.271      
8 H 0.271      
9 H 0.236      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.041 -2.085 0.000 2.086
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -35.240 -0.635 0.000
y -0.635 -23.872 0.000
z 0.000 0.000 -29.018
Traceless
 xyz
x -8.795 -0.635 0.000
y -0.635 8.257 0.000
z 0.000 0.000 0.537
Polar
3z2-r21.075
x2-y2-11.368
xy-0.635
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.256 -0.399 0.000
y -0.399 7.356 0.000
z 0.000 0.000 3.771


<r2> (average value of r2) Å2
<r2> 81.239
(<r2>)1/2 9.013