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

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

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/6-31+G**
 hartrees
Energy at 0K-226.136864
Energy at 298.15K-226.142875
HF Energy-226.136864
Nuclear repulsion energy163.476859
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/6-31+G**
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' 3703 3526 86.52      
2 A' 3303 3145 0.80      
3 A' 3281 3124 2.70      
4 A' 3276 3119 1.46      
5 A' 1598 1521 14.96      
6 A' 1537 1464 25.95      
7 A' 1467 1397 18.66      
8 A' 1404 1337 8.61      
9 A' 1290 1228 0.72      
10 A' 1195 1138 5.46      
11 A' 1160 1105 3.77      
12 A' 1114 1060 28.16      
13 A' 1092 1039 33.61      
14 A' 947 902 2.61      
15 A' 907 864 5.22      
16 A" 898 856 5.04      
17 A" 837 797 33.84      
18 A" 745 710 50.34      
19 A" 682 650 4.60      
20 A" 647 616 9.80      
21 A" 543 517 109.12      

Unscaled Zero Point Vibrational Energy (zpe) 15813.4 cm-1
Scaled (by 0.9522) Zero Point Vibrational Energy (zpe) 15057.5 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/6-31+G**
ABC
0.32664 0.31451 0.16023

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

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 1.105 0.000
C2 -1.087 0.281 0.000
C3 1.117 0.298 0.000
N4 -0.743 -0.981 0.000
C5 0.635 -0.985 0.000
H6 -0.012 2.113 0.000
H7 -2.100 0.662 0.000
H8 2.119 0.699 0.000
H9 1.196 -1.908 0.000

Atom - Atom Distances (Å)
  N1 C2 C3 N4 C5 H6 H7 H8 H9
N11.36401.37842.21442.18421.00802.14622.15753.2418
C21.36402.20461.30862.13772.12391.08203.23323.1634
C31.37842.20462.25741.37042.13773.23791.07882.2074
N42.21441.30862.25741.37803.17922.13133.31842.1490
C52.18422.13771.37041.37803.16473.19282.24421.0803
H61.00802.12392.13773.17923.16472.54262.55744.1986
H72.14621.08203.23792.13133.19282.54264.21914.1797
H82.15753.23321.07883.31842.24422.55744.21912.7656
H93.24183.16342.20742.14901.08034.19864.17972.7656

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 111.888 N1 C2 H7 122.242
N1 C3 C5 105.239 N1 C3 H8 122.339
C2 N1 C3 107.011 C2 N1 H6 126.469
C2 N4 C5 105.416 C3 N1 H6 126.521
C3 C5 N4 110.447 C3 C5 H9 128.123
N4 C2 H7 125.870 N4 C5 H9 121.430
C5 C3 H8 132.423
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at M06-2X/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.402      
2 C 0.073      
3 C -0.088      
4 N -0.304      
5 C -0.118      
6 H 0.334      
7 H 0.168      
8 H 0.177      
9 H 0.159      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  1.193 3.720 0.000 3.907
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -26.756 -3.494 0.000
y -3.494 -25.846 0.000
z 0.000 0.000 -32.496
Traceless
 xyz
x 2.415 -3.494 0.000
y -3.494 3.780 0.000
z 0.000 0.000 -6.195
Polar
3z2-r2-12.391
x2-y2-0.910
xy-3.494
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.834 -0.018 0.000
y -0.018 7.602 0.000
z 0.000 0.000 4.417


<r2> (average value of r2) Å2
<r2> 79.934
(<r2>)1/2 8.941