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All results from a given calculation for C3H4N2 (4H-Imidazole)

using model chemistry: TPSSh/6-31G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at TPSSh/6-31G
 hartrees
Energy at 0K-226.122522
Energy at 298.15K-226.128415
HF Energy-226.122522
Nuclear repulsion energy158.455065
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 TPSSh/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 A' 3304 3178 9.19      
2 A' 3264 3140 6.61      
3 A' 3076 2959 0.29      
4 A' 1589 1529 27.74      
5 A' 1504 1447 8.91      
6 A' 1445 1390 22.09      
7 A' 1316 1266 19.94      
8 A' 1302 1253 3.15      
9 A' 1265 1217 13.04      
10 A' 988 951 52.03      
11 A' 954 917 0.94      
12 A' 934 899 3.94      
13 A' 859 827 12.62      
14 A' 846 814 8.02      
15 A" 3121 3002 1.00      
16 A" 1164 1120 0.13      
17 A" 1013 974 19.84      
18 A" 958 922 0.01      
19 A" 770 741 13.27      
20 A" 570 548 21.21      
21 A" 381 366 11.69      

Unscaled Zero Point Vibrational Energy (zpe) 15311.0 cm-1
Scaled (by 0.9621) Zero Point Vibrational Energy (zpe) 14730.8 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 TPSSh/6-31G
ABC
0.30939 0.28660 0.15304

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

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 -1.215 0.359 0.000
C2 0.000 1.163 0.000
N3 1.130 0.516 0.000
C4 0.738 -0.923 0.000
C5 -0.771 -0.873 0.000
H6 -0.078 2.238 0.000
H7 1.155 -1.419 0.884
H8 1.155 -1.419 -0.884
H9 -1.439 -1.723 0.000

Atom - Atom Distances (Å)
  N1 C2 N3 C4 C5 H6 H7 H8 H9
N11.45692.35062.33591.30942.19643.09153.09152.0943
C21.45691.30252.21292.17701.07822.96332.96333.2251
N32.35061.30251.49202.35462.10422.12742.12743.4080
C42.33592.21291.49201.50943.26531.09601.09602.3186
C51.30942.17702.35461.50943.18752.18822.18821.0812
H62.19641.07822.10423.26533.18753.95953.95954.1888
H73.09152.96332.12741.09602.18823.95951.76842.7568
H83.09152.96332.12741.09602.18823.95951.76842.7568
H92.09433.22513.40802.31861.08124.18882.75682.7568

picture of 4H-Imidazole state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
N1 C2 N3 116.713 N1 C2 H6 119.336
N1 C5 C4 111.736 N1 C5 H9 122.046
C2 N1 C5 103.680 C2 N3 C4 104.521
N3 C2 H6 123.951 N3 C4 C5 103.350
N3 C4 H7 109.626 N3 C4 H8 109.626
C4 C5 H9 126.218 C5 C4 H7 113.298
C5 C4 H8 113.298 H7 C4 H8 107.552
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at TPSSh/6-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.344      
2 C 0.098      
3 N -0.331      
4 C -0.282      
5 C 0.016      
6 H 0.201      
7 H 0.224      
8 H 0.224      
9 H 0.194      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.170 -2.283 0.000 2.289
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.179 -0.374 0.000
y -0.374 7.354 0.000
z 0.000 0.000 3.311


<r2> (average value of r2) Å2
<r2> 83.387
(<r2>)1/2 9.132