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

using model chemistry: M06-2X/STO-3G

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/STO-3G
 hartrees
Energy at 0K-223.211848
Energy at 298.15K-223.217579
HF Energy-223.211848
Nuclear repulsion energy164.120103
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/STO-3G
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 3537 3537 21.51      
2 A1 3393 3393 36.04      
3 A1 1844 1844 11.69      
4 A1 1547 1547 10.35      
5 A1 1430 1430 5.94      
6 A1 1340 1340 7.45      
7 A1 1076 1076 2.15      
8 A1 952 952 9.39      
9 A2 1200 1200 0.00      
10 A2 920 920 0.00      
11 A2 564 564 0.00      
12 B1 3496 3496 20.17      
13 B1 1058 1058 4.49      
14 B1 832 832 3.32      
15 B1 314 314 35.42      
16 B2 3519 3519 2.41      
17 B2 1909 1909 1.77      
18 B2 1418 1418 5.47      
19 B2 1282 1282 8.93      
20 B2 1105 1105 12.02      
21 B2 965 965 62.70      

Unscaled Zero Point Vibrational Energy (zpe) 16850.0 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 16850.0 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/STO-3G
ABC
0.35760 0.28964 0.16530

See section I.F.4 to change rotational constant units
Geometric Data calculated at M06-2X/STO-3G

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.246
N2 0.000 0.999 0.279
N3 0.000 -0.999 0.279
C4 0.000 0.736 -0.966
C5 0.000 -0.736 -0.966
H6 -0.913 0.000 1.870
H7 0.913 0.000 1.870
H8 0.000 1.489 -1.761
H9 0.000 -1.489 -1.761

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.39111.39112.33182.33181.10581.10583.35613.3561
N21.39111.99891.27242.13612.08942.08942.09813.2180
N31.39111.99892.13611.27242.08942.08943.21802.0981
C42.33181.27242.13611.47273.06943.06941.09502.3634
C52.33182.13611.27241.47273.06943.06942.36341.0950
H61.10582.08942.08943.06943.06941.82594.02994.0299
H71.10582.08942.08943.06943.06941.82594.02994.0299
H83.35612.09813.21801.09502.36344.02994.02992.9784
H93.35613.21802.09812.36341.09504.02994.02992.9784

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 122.137 C1 N3 C5 122.137
N2 C1 N3 91.860 N2 C1 H6 113.110
N2 C1 H7 113.110 N2 C4 C5 101.933
N2 C4 H8 124.634 N3 C1 H6 113.110
N3 C1 H7 113.110 N3 C5 C4 101.933
N3 C5 H9 124.634 C4 C5 H9 133.433
C5 C4 H8 133.433 H6 C1 H7 111.293
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at M06-2X/STO-3G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.000      
2 N -0.254      
3 N -0.254      
4 C 0.014      
5 C 0.014      
6 H 0.141      
7 H 0.141      
8 H 0.100      
9 H 0.100      


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 -0.238 0.238
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -25.974 0.000 0.000
y 0.000 -32.104 0.000
z 0.000 0.000 -21.486
Traceless
 xyz
x 0.820 0.000 0.000
y 0.000 -8.374 0.000
z 0.000 0.000 7.554
Polar
3z2-r215.107
x2-y26.130
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 1.583 0.000 0.000
y 0.000 2.518 0.000
z 0.000 0.000 5.152


<r2> (average value of r2) Å2
<r2> 77.969
(<r2>)1/2 8.830