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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-225.848146
Energy at 298.15K-225.854055
HF Energy-225.848146
Nuclear repulsion energy165.977210
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 3156 3113 17.46      
2 A1 2991 2950 0.00      
3 A1 1676 1653 16.83      
4 A1 1377 1358 0.99      
5 A1 1339 1320 25.09      
6 A1 1241 1224 7.15      
7 A1 1016 1002 2.34      
8 A1 897 884 12.62      
9 A2 1100 1085 0.00      
10 A2 880 868 0.00      
11 A2 530 523 0.00      
12 B1 3028 2986 0.22      
13 B1 965 951 14.82      
14 B1 792 781 3.82      
15 B1 359 354 40.02      
16 B2 3141 3098 13.72      
17 B2 1738 1714 0.39      
18 B2 1345 1327 32.77      
19 B2 1196 1180 0.87      
20 B2 1058 1043 24.30      
21 B2 898 886 80.55      

Unscaled Zero Point Vibrational Energy (zpe) 15361.1 cm-1
Scaled (by 0.9863) Zero Point Vibrational Energy (zpe) 15150.6 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
0.36101 0.30024 0.16926

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 0.285
N3 0.000 -0.997 0.285
C4 0.000 0.729 -0.953
C5 0.000 -0.729 -0.953
H6 -0.898 0.000 1.850
H7 0.898 0.000 1.850
H8 0.000 1.489 -1.739
H9 0.000 -1.489 -1.739

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.35731.35732.27892.27891.10531.10533.30003.3000
N21.35731.99381.26652.12432.06202.06202.08283.2056
N31.35731.99382.12431.26652.06202.06203.20562.0828
C42.27891.26652.12431.45893.03303.03301.09312.3537
C52.27892.12431.26651.45893.03303.03302.35371.0931
H61.10532.06202.06203.03303.03301.79563.98863.9886
H71.10532.06202.06203.03303.03301.79563.98863.9886
H83.30002.08283.20561.09312.35373.98863.98862.9783
H93.30003.20562.08282.35371.09313.98863.98862.9783

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 120.546 C1 N3 C5 120.546
N2 C1 N3 94.525 N2 C1 H6 113.321
N2 C1 H7 113.321 N2 C4 C5 102.191
N2 C4 H8 123.778 N3 C1 H6 113.321
N3 C1 H7 113.321 N3 C5 C4 102.191
N3 C5 H9 123.778 C4 C5 H9 134.031
C5 C4 H8 134.031 H6 C1 H7 108.629
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 0.018      
2 N -0.357      
3 N -0.357      
4 C 0.044      
5 C 0.044      
6 H 0.185      
7 H 0.185      
8 H 0.119      
9 H 0.119      


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 -0.408 0.408
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -27.862 0.000 0.000
y 0.000 -34.376 0.000
z 0.000 0.000 -21.649
Traceless
 xyz
x 0.150 0.000 0.000
y 0.000 -9.620 0.000
z 0.000 0.000 9.470
Polar
3z2-r218.940
x2-y26.514
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.452 0.000 0.000
y 0.000 5.311 0.000
z 0.000 0.000 8.116


<r2> (average value of r2) Å2
<r2> 77.470
(<r2>)1/2 8.802