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All results from a given calculation for C3H4N2 (2H-Imidazole)

using model chemistry: M06-2X/6-31G(2df,p)

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at M06-2X/6-31G(2df,p)
 hartrees
Energy at 0K-226.039243
Energy at 298.15K-226.045282
HF Energy-226.039243
Nuclear repulsion energy167.017584
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(2df,p)
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 A1 3235 3081 9.60      
2 A1 3096 2949 0.05      
3 A1 1766 1682 22.11      
4 A1 1424 1356 1.14      
5 A1 1392 1325 21.46      
6 A1 1260 1200 4.80      
7 A1 1041 991 2.27      
8 A1 938 894 11.63      
9 A2 1156 1101 0.00      
10 A2 937 893 0.00      
11 A2 554 528 0.00      
12 B1 3141 2991 0.45      
13 B1 1011 963 18.55      
14 B1 829 790 3.47      
15 B1 378 360 36.72      
16 B2 3220 3066 5.03      
17 B2 1834 1747 0.01      
18 B2 1402 1335 31.09      
19 B2 1247 1187 1.53      
20 B2 1091 1039 28.80      
21 B2 934 890 73.97      

Unscaled Zero Point Vibrational Energy (zpe) 15942.7 cm-1
Scaled (by 0.9524) Zero Point Vibrational Energy (zpe) 15183.9 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(2df,p)
ABC
0.36195 0.30608 0.17128

See section I.F.4 to change rotational constant units
Geometric Data calculated at M06-2X/6-31G(2df,p)

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.199
N2 0.000 0.997 0.278
N3 0.000 -0.997 0.278
C4 0.000 0.729 -0.941
C5 0.000 -0.729 -0.941
H6 -0.894 0.000 1.829
H7 0.894 0.000 1.829
H8 0.000 1.472 -1.728
H9 0.000 -1.472 -1.728

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.35701.35702.26142.26141.09401.09403.27683.2768
N21.35701.99371.24882.11372.04902.04902.06243.1815
N31.35701.99372.11371.24882.04902.04903.18152.0624
C42.26141.24882.11371.45863.00133.00131.08212.3376
C52.26142.11371.24881.45863.00133.00132.33761.0821
H61.09402.04902.04903.00133.00131.78883.95263.9526
H71.09402.04902.04903.00133.00131.78883.95263.9526
H83.27682.06243.18151.08212.33763.95263.95262.9435
H93.27683.18152.06242.33761.08213.95263.95262.9435

picture of 2H-Imidazole state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 N2 C4 120.356 C1 N3 C5 120.356
N2 C1 N3 94.545 N2 C1 H6 112.998
N2 C1 H7 112.998 N2 C4 C5 102.371
N2 C4 H8 124.302 N3 C1 H6 112.998
N3 C1 H7 112.998 N3 C5 C4 102.371
N3 C5 H9 124.302 C4 C5 H9 133.327
C5 C4 H8 133.327 H6 C1 H7 109.685
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at M06-2X/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.161      
2 N -0.148      
3 N -0.148      
4 C -0.113      
5 C -0.113      
6 H 0.184      
7 H 0.184      
8 H 0.157      
9 H 0.157      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.000 0.000 -0.687 0.687
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -27.958 0.000 0.000
y 0.000 -34.107 0.000
z 0.000 0.000 -21.647
Traceless
 xyz
x -0.082 0.000 0.000
y 0.000 -9.304 0.000
z 0.000 0.000 9.386
Polar
3z2-r218.772
x2-y26.149
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.712 0.000 0.000
y 0.000 5.294 0.000
z 0.000 0.000 7.950


<r2> (average value of r2) Å2
<r2> 76.671
(<r2>)1/2 8.756