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

using model chemistry: HF/6-311+G(3df,2p)

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at HF/6-311+G(3df,2p)
 hartrees
Energy at 0K-224.805825
Energy at 298.15K-224.812064
HF Energy-224.805825
Nuclear repulsion energy168.251069
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 HF/6-311+G(3df,2p)
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 3374 3066 16.57      
2 A1 3212 2919 4.67      
3 A1 1878 1707 36.09      
4 A1 1563 1420 2.03      
5 A1 1515 1377 23.67      
6 A1 1315 1195 1.04      
7 A1 1102 1001 1.98      
8 A1 1018 925 13.63      
9 A2 1267 1151 0.00      
10 A2 1047 951 0.00      
11 A2 591 537 0.00      
12 B1 3250 2953 0.81      
13 B1 1130 1027 27.78      
14 B1 924 839 5.09      
15 B1 399 363 37.79      
16 B2 3359 3052 5.87      
17 B2 1946 1768 0.01      
18 B2 1538 1397 40.92      
19 B2 1370 1245 3.30      
20 B2 1161 1055 50.56      
21 B2 999 908 63.48      

Unscaled Zero Point Vibrational Energy (zpe) 16977.7 cm-1
Scaled (by 0.9086) Zero Point Vibrational Energy (zpe) 15426.0 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 HF/6-311+G(3df,2p)
ABC
0.36402 0.31265 0.17368

See section I.F.4 to change rotational constant units
Geometric Data calculated at HF/6-311+G(3df,2p)

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.191
N2 0.000 0.997 0.272
N3 0.000 -0.997 0.272
C4 0.000 0.726 -0.929
C5 0.000 -0.726 -0.929
H6 -0.886 0.000 1.811
H7 0.886 0.000 1.811
H8 0.000 1.452 -1.717
H9 0.000 -1.452 -1.717

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.35521.35522.24022.24021.08211.08213.24973.2497
N21.35521.99331.23102.10022.03642.03642.04053.1547
N31.35521.99332.10021.23102.03642.03643.15472.0405
C42.24021.23102.10021.45252.96982.96981.07142.3164
C52.24022.10021.23101.45252.96982.96982.31641.0714
H61.08212.03642.03642.96982.96981.77273.91673.9167
H71.08212.03642.03642.96982.96981.77273.91673.9167
H83.24972.04053.15471.07142.31643.91673.91672.9040
H93.24973.15472.04052.31641.07143.91673.91672.9040

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 119.965 C1 N3 C5 119.965
N2 C1 N3 94.691 N2 C1 H6 112.871
N2 C1 H7 112.871 N2 C4 C5 102.690
N2 C4 H8 124.666 N3 C1 H6 112.871
N3 C1 H7 112.871 N3 C5 C4 102.690
N3 C5 H9 124.666 C4 C5 H9 132.644
C5 C4 H8 132.644 H6 C1 H7 109.997
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HF/6-311+G(3df,2p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.788      
2 N -1.135      
3 N -1.135      
4 C 0.421      
5 C 0.421      
6 H 0.144      
7 H 0.144      
8 H 0.176      
9 H 0.176      


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 -1.239 1.239
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.825 0.000 0.000
y 0.000 -35.792 0.000
z 0.000 0.000 -21.750
Traceless
 xyz
x -0.054 0.000 0.000
y 0.000 -10.504 0.000
z 0.000 0.000 10.559
Polar
3z2-r221.118
x2-y26.967
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.613 0.000 0.000
y 0.000 6.145 0.000
z 0.000 0.000 8.131


<r2> (average value of r2) Å2
<r2> 76.351
(<r2>)1/2 8.738