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

using model chemistry: PBEPBEultrafine/6-31G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at PBEPBEultrafine/6-31G*
 hartrees
Energy at 0K-225.842779
Energy at 298.15K-225.848684
HF Energy-225.842779
Nuclear repulsion energy165.970922
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 PBEPBEultrafine/6-31G*
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 3161 3108 19.94      
2 A1 2998 2948 0.01      
3 A1 1679 1652 17.57      
4 A1 1384 1361 3.92      
5 A1 1354 1332 20.61      
6 A1 1244 1223 7.38      
7 A1 1018 1001 2.38      
8 A1 898 883 12.55      
9 A2 1111 1093 0.00      
10 A2 878 863 0.00      
11 A2 531 522 0.00      
12 B1 3033 2983 0.08      
13 B1 973 957 14.01      
14 B1 793 779 4.50      
15 B1 360 354 39.76      
16 B2 3145 3094 15.06      
17 B2 1740 1711 0.37      
18 B2 1350 1327 32.19      
19 B2 1204 1184 1.34      
20 B2 1064 1046 25.18      
21 B2 900 885 79.71      

Unscaled Zero Point Vibrational Energy (zpe) 15407.6 cm-1
Scaled (by 0.9835) Zero Point Vibrational Energy (zpe) 15153.4 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 PBEPBEultrafine/6-31G*
ABC
0.36087 0.30030 0.16927

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.206
N2 0.000 0.997 0.284
N3 0.000 -0.997 0.284
C4 0.000 0.730 -0.953
C5 0.000 -0.730 -0.953
H6 -0.899 0.000 1.850
H7 0.899 0.000 1.850
H8 0.000 1.491 -1.739
H9 0.000 -1.491 -1.739

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.35741.35742.27892.27891.10581.10583.30043.3004
N21.35741.99381.26622.12422.06212.06212.08273.2064
N31.35741.99382.12421.26622.06212.06213.20642.0827
C42.27891.26622.12421.45913.03263.03261.09382.3550
C52.27892.12421.26621.45913.03263.03262.35501.0938
H61.10582.06212.06213.03263.03261.79803.98853.9885
H71.10582.06212.06213.03263.03261.79803.98853.9885
H83.30042.08273.20641.09382.35503.98853.98852.9810
H93.30043.20642.08272.35501.09383.98853.98852.9810

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 120.555 C1 N3 C5 120.555
N2 C1 N3 94.512 N2 C1 H6 113.281
N2 C1 H7 113.281 N2 C4 C5 102.189
N2 C4 H8 123.728 N3 C1 H6 113.281
N3 C1 H7 113.281 N3 C5 C4 102.189
N3 C5 H9 123.728 C4 C5 H9 134.083
C5 C4 H8 134.083 H6 C1 H7 108.771
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.094      
2 N -0.328      
3 N -0.328      
4 C -0.008      
5 C -0.008      
6 H 0.224      
7 H 0.224      
8 H 0.159      
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
  0.000 0.000 -0.425 0.425
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -27.882 0.000 0.000
y 0.000 -34.367 0.000
z 0.000 0.000 -21.675
Traceless
 xyz
x 0.139 0.000 0.000
y 0.000 -9.588 0.000
z 0.000 0.000 9.449
Polar
3z2-r218.898
x2-y26.484
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.413 0.000 0.000
y 0.000 5.268 0.000
z 0.000 0.000 8.056


<r2> (average value of r2) Å2
<r2> 77.482
(<r2>)1/2 8.802