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

using model chemistry: B97D3/6-311+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 B97D3/6-311+G(3df,2p)
 hartrees
Energy at 0K-226.051104
Energy at 298.15K-226.057060
HF Energy-226.051104
Nuclear repulsion energy166.513273
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 B97D3/6-311+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 3150 3109 23.17      
2 A1 2989 2950 0.02      
3 A1 1645 1623 23.07      
4 A1 1370 1352 1.12      
5 A1 1349 1332 28.59      
6 A1 1228 1212 5.04      
7 A1 1008 995 2.15      
8 A1 906 894 9.58      
9 A2 1117 1103 0.00      
10 A2 894 883 0.00      
11 A2 534 527 0.00      
12 B1 3018 2979 0.58      
13 B1 978 965 19.80      
14 B1 805 794 5.73      
15 B1 364 359 36.47      
16 B2 3136 3095 8.84      
17 B2 1707 1685 1.53      
18 B2 1337 1319 36.26      
19 B2 1212 1196 2.32      
20 B2 1057 1043 31.17      
21 B2 930 918 72.06      

Unscaled Zero Point Vibrational Energy (zpe) 15365.9 cm-1
Scaled (by 0.987) Zero Point Vibrational Energy (zpe) 15166.2 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 B97D3/6-311+G(3df,2p)
ABC
0.36192 0.30299 0.17027

See section I.F.4 to change rotational constant units
Geometric Data calculated at B97D3/6-311+G(3df,2p)

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.132
N2 0.000 1.195 0.296
N3 0.000 -1.195 0.296
C4 0.000 0.738 -0.911
C5 0.000 -0.738 -0.911
H6 -0.882 0.000 1.786
H7 0.882 0.000 1.786
H8 0.000 1.388 -1.783
H9 0.000 -1.388 -1.783

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.45801.45802.17192.17191.09861.09863.22843.2284
N21.45802.38931.29032.27852.10412.10412.08793.3155
N31.45802.38932.27851.29032.10412.10413.31552.0879
C42.17191.29032.27851.47612.93242.93241.08772.2981
C52.17192.27851.29031.47612.93242.93242.29811.0877
H61.09862.10412.10412.93242.93241.76453.93023.9302
H71.09862.10412.10412.93242.93241.76453.93023.9302
H83.22842.08793.31551.08772.29813.93023.93022.7762
H93.22843.31552.08792.29811.08773.93023.93022.7762

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 120.405 C1 N3 C5 120.405
N2 C1 N3 94.610 N2 C1 H6 113.237
N2 C1 H7 113.237 N2 C4 C5 102.290
N2 C4 H8 124.041 N3 C1 H6 113.237
N3 C1 H7 113.237 N3 C5 C4 102.290
N3 C5 H9 124.041 C4 C5 H9 133.669
C5 C4 H8 133.669 H6 C1 H7 108.840
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B97D3/6-311+G(3df,2p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.651      
2 N -0.898      
3 N -0.898      
4 C 0.290      
5 C 0.290      
6 H 0.127      
7 H 0.127      
8 H 0.155      
9 H 0.155      


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 -0.755 0.755
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.591 0.000 0.000
y 0.000 -36.075 0.000
z 0.000 0.000 -21.941
Traceless
 xyz
x 0.417 0.000 0.000
y 0.000 -10.809 0.000
z 0.000 0.000 10.393
Polar
3z2-r220.785
x2-y27.484
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.068 0.000 0.000
y 0.000 7.717 0.000
z 0.000 0.000 8.985


<r2> (average value of r2) Å2
<r2> 77.634
(<r2>)1/2 8.811