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

using model chemistry: TPSSh/aug-cc-pVDZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at TPSSh/aug-cc-pVDZ
 hartrees
Energy at 0K-226.167331
Energy at 298.15K-226.173323
HF Energy-226.167331
Nuclear repulsion energy166.251601
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/aug-cc-pVDZ
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 3220 3115 19.13      
2 A1 3061 2961 0.00      
3 A1 1689 1634 21.03      
4 A1 1409 1363 0.60      
5 A1 1382 1337 29.74      
6 A1 1257 1216 4.60      
7 A1 1033 999 0.47      
8 A1 921 891 11.36      
9 A2 1131 1094 0.00      
10 A2 908 878 0.00      
11 A2 536 518 0.00      
12 B1 3103 3002 0.52      
13 B1 997 965 23.13      
14 B1 821 794 5.06      
15 B1 360 348 36.45      
16 B2 3204 3099 7.21      
17 B2 1756 1699 0.82      
18 B2 1379 1334 36.98      
19 B2 1230 1189 2.02      
20 B2 1079 1043 32.46      
21 B2 916 886 69.45      

Unscaled Zero Point Vibrational Energy (zpe) 15695.8 cm-1
Scaled (by 0.9673) Zero Point Vibrational Energy (zpe) 15182.6 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 TPSSh/aug-cc-pVDZ
ABC
0.36165 0.30150 0.16981

See section I.F.4 to change rotational constant units
Geometric Data calculated at TPSSh/aug-cc-pVDZ

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 0.283
N3 0.000 -0.997 0.283
C4 0.000 0.728 -0.951
C5 0.000 -0.728 -0.951
H6 -0.898 0.000 1.840
H7 0.898 0.000 1.840
H8 0.000 1.483 -1.735
H9 0.000 -1.483 -1.735

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.35881.35882.27642.27641.09931.09933.29373.2937
N21.35881.99411.26282.12072.05552.05552.07553.1971
N31.35881.99412.12071.26282.05552.05553.19712.0755
C42.27641.26282.12071.45573.02073.02071.08852.3456
C52.27642.12071.26281.45573.02073.02072.34561.0885
H61.09932.05552.05553.02073.02071.79643.97313.9731
H71.09932.05552.05553.02073.02071.79643.97313.9731
H83.29372.07553.19711.08852.34563.97313.97312.9657
H93.29373.19712.07552.34561.08853.97313.97312.9657

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 120.489 C1 N3 C5 120.489
N2 C1 N3 94.404 N2 C1 H6 113.062
N2 C1 H7 113.062 N2 C4 C5 102.309
N2 C4 H8 123.773 N3 C1 H6 113.062
N3 C1 H7 113.062 N3 C5 C4 102.309
N3 C5 H9 123.773 C4 C5 H9 133.918
C5 C4 H8 133.918 H6 C1 H7 109.581
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at TPSSh/aug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.887      
2 N -0.347      
3 N -0.347      
4 C 0.380      
5 C 0.380      
6 H -0.234      
7 H -0.234      
8 H -0.242      
9 H -0.242      


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 -0.817 0.817
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 4.988 0.000 0.000
y 0.000 7.507 0.000
z 0.000 0.000 8.872


<r2> (average value of r2) Å2
<r2> 77.767
(<r2>)1/2 8.819