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All results from a given calculation for C3H4N2 (1H-Imidazole)

using model chemistry: M06-2X/aug-cc-pVTZ

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/aug-cc-pVTZ
 hartrees
Energy at 0K-226.212234
Energy at 298.15K-226.218285
HF Energy-226.212234
Nuclear repulsion energy163.979561
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/aug-cc-pVTZ
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' 3685 3522 80.60      
2 A' 3283 3137 0.46      
3 A' 3261 3116 2.26      
4 A' 3251 3107 0.98      
5 A' 1587 1517 13.19      
6 A' 1528 1460 22.08      
7 A' 1451 1386 17.24      
8 A' 1388 1326 6.70      
9 A' 1291 1233 0.42      
10 A' 1182 1130 5.90      
11 A' 1153 1102 3.33      
12 A' 1105 1056 19.57      
13 A' 1088 1039 35.36      
14 A' 949 907 1.48      
15 A' 908 868 6.67      
16 A" 912 871 3.50      
17 A" 854 816 27.11      
18 A" 758 724 44.69      
19 A" 687 657 5.49      
20 A" 653 624 6.62      
21 A" 551 526 99.06      

Unscaled Zero Point Vibrational Energy (zpe) 15761.2 cm-1
Scaled (by 0.9557) Zero Point Vibrational Energy (zpe) 15063.0 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/aug-cc-pVTZ
ABC
0.32794 0.31710 0.16122

See section I.F.4 to change rotational constant units
Geometric Data calculated at M06-2X/aug-cc-pVTZ

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 1.099 0.000
C2 -1.085 0.281 0.000
C3 1.113 0.297 0.000
N4 -0.739 -0.977 0.000
C5 0.633 -0.980 0.000
H6 -0.011 2.103 0.000
H7 -2.093 0.662 0.000
H8 2.110 0.698 0.000
H9 1.195 -1.898 0.000

Atom - Atom Distances (Å)
  N1 C2 C3 N4 C5 H6 H7 H8 H9
N11.35841.37222.20372.17281.00422.13782.14793.2258
C21.35842.19841.30522.13132.11461.07723.22213.1537
C31.37222.19842.24821.36362.12773.22681.07442.1956
N42.20371.30522.24821.37233.16502.12593.30512.1419
C52.17282.13131.36361.37233.14923.18212.23481.0761
H61.00422.11462.12773.16503.14922.53172.54454.1782
H72.13781.07723.22682.12593.18212.53174.20304.1666
H82.14793.22211.07443.30512.23482.54454.20302.7517
H93.22583.15372.19562.14191.07614.17824.16662.7517

picture of 1H-Imidazole state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
N1 C2 N4 111.631 N1 C2 H7 122.308
N1 C3 C5 105.156 N1 C3 H8 122.312
C2 N1 C3 107.231 C2 N1 H6 126.367
C2 N4 C5 105.465 C3 N1 H6 126.402
C3 C5 N4 110.516 C3 C5 H9 127.910
N4 C2 H7 126.061 N4 C5 H9 121.574
C5 C3 H8 132.531
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at M06-2X/aug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.025      
2 C -0.463      
3 C -0.345      
4 N -0.542      
5 C -0.154      
6 H 0.148      
7 H 0.505      
8 H 0.432      
9 H 0.443      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  1.134 3.565 0.000 3.741
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -26.806 -3.367 0.000
y -3.367 -25.933 0.000
z 0.000 0.000 -32.160
Traceless
 xyz
x 2.240 -3.367 0.000
y -3.367 3.550 0.000
z 0.000 0.000 -5.790
Polar
3z2-r2-11.580
x2-y2-0.873
xy-3.367
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.295 -0.110 0.000
y -0.110 7.970 0.000
z 0.000 0.000 4.938


<r2> (average value of r2) Å2
<r2> 79.511
(<r2>)1/2 8.917