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

using model chemistry: PBE1PBE/6-311G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at PBE1PBE/6-311G**
 hartrees
Energy at 0K-225.912192
Energy at 298.15K-225.918232
HF Energy-225.912192
Nuclear repulsion energy167.220365
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 PBE1PBE/6-311G**
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 3235 3104 14.40      
2 A1 3076 2951 0.21      
3 A1 1733 1663 17.68      
4 A1 1419 1362 0.17      
5 A1 1380 1324 33.10      
6 A1 1267 1216 7.10      
7 A1 1047 1005 1.58      
8 A1 940 902 13.74      
9 A2 1142 1095 0.00      
10 A2 933 895 0.00      
11 A2 553 531 0.00      
12 B1 3114 2988 0.47      
13 B1 1003 962 22.15      
14 B1 832 799 5.05      
15 B1 375 360 39.63      
16 B2 3219 3088 6.45      
17 B2 1804 1731 0.53      
18 B2 1400 1343 38.57      
19 B2 1234 1184 0.71      
20 B2 1087 1043 30.64      
21 B2 937 899 78.58      

Unscaled Zero Point Vibrational Energy (zpe) 15865.2 cm-1
Scaled (by 0.9594) Zero Point Vibrational Energy (zpe) 15221.1 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 PBE1PBE/6-311G**
ABC
0.36346 0.30673 0.17179

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/6-311G**

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.195
N2 0.000 0.996 0.280
N3 0.000 -0.996 0.280
C4 0.000 0.725 -0.941
C5 0.000 -0.725 -0.941
H6 -0.892 0.000 1.830
H7 0.892 0.000 1.830
H8 0.000 1.471 -1.727
H9 0.000 -1.471 -1.727

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.35221.35222.25572.25571.09511.09513.27103.2710
N21.35221.99261.25162.11082.04672.04672.06263.1808
N31.35221.99262.11081.25162.04672.04673.18082.0626
C42.25571.25162.11081.44993.00013.00011.08352.3324
C52.25572.11081.25161.44993.00013.00012.33241.0835
H61.09512.04672.04673.00013.00011.78423.95093.9509
H71.09512.04672.04673.00013.00011.78423.95093.9509
H83.27102.06263.18081.08352.33243.95093.95092.9426
H93.27103.18082.06262.33241.08353.95093.95092.9426

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 120.017 C1 N3 C5 120.017
N2 C1 N3 94.919 N2 C1 H6 113.086
N2 C1 H7 113.086 N2 C4 C5 102.523
N2 C4 H8 123.935 N3 C1 H6 113.086
N3 C1 H7 113.086 N3 C5 C4 102.523
N3 C5 H9 123.935 C4 C5 H9 133.542
C5 C4 H8 133.542 H6 C1 H7 109.107
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/6-311G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.024      
2 N -0.301      
3 N -0.301      
4 C -0.010      
5 C -0.010      
6 H 0.176      
7 H 0.176      
8 H 0.123      
9 H 0.123      


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 -0.615 0.615
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.123 0.000 0.000
y 0.000 -34.834 0.000
z 0.000 0.000 -21.607
Traceless
 xyz
x 0.098 0.000 0.000
y 0.000 -9.969 0.000
z 0.000 0.000 9.871
Polar
3z2-r219.742
x2-y26.711
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.768 0.000 0.000
y 0.000 5.339 0.000
z 0.000 0.000 8.035


<r2> (average value of r2) Å2
<r2> 76.688
(<r2>)1/2 8.757