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

using model chemistry: TPSSh/aug-cc-pVTZ

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/aug-cc-pVTZ
 hartrees
Energy at 0K-226.287317
Energy at 298.15K-226.293223
HF Energy-226.287317
Nuclear repulsion energy160.868744
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-pVTZ
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' 3199 3088 11.53      
2 A' 3177 3066 9.69      
3 A' 3027 2922 2.63      
4 A' 1636 1579 46.63      
5 A' 1533 1480 10.22      
6 A' 1401 1352 21.29      
7 A' 1320 1274 26.33      
8 A' 1302 1257 5.88      
9 A' 1255 1211 5.74      
10 A' 1027 991 59.76      
11 A' 989 955 11.65      
12 A' 938 906 3.66      
13 A' 871 841 3.87      
14 A' 870 840 10.58      
15 A" 3057 2950 0.79      
16 A" 1157 1117 0.44      
17 A" 1001 966 15.68      
18 A" 962 928 1.54      
19 A" 745 719 5.66      
20 A" 561 541 20.05      
21 A" 363 350 5.80      

Unscaled Zero Point Vibrational Energy (zpe) 15194.9 cm-1
Scaled (by 0.9652) Zero Point Vibrational Energy (zpe) 14666.1 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 TPSSh/aug-cc-pVTZ
ABC
0.32121 0.29403 0.15799

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

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 -1.197 0.358 0.000
C2 0.000 1.135 0.000
N3 1.116 0.504 0.000
C4 0.730 -0.900 0.000
C5 -0.764 -0.855 0.000
H6 -0.073 2.215 0.000
H7 1.140 -1.411 0.879
H8 1.140 -1.411 -0.879
H9 -1.435 -1.707 0.000

Atom - Atom Distances (Å)
  N1 C2 N3 C4 C5 H6 H7 H8 H9
N11.42692.31742.30121.28722.17073.05953.05952.0781
C21.42691.28202.16202.13111.08292.92432.92433.1833
N32.31741.28201.45632.31972.08412.10692.10693.3756
C42.30122.16201.45631.49503.21741.09591.09592.3105
C51.28722.13112.31971.49503.14652.16982.16981.0844
H62.17071.08292.08413.21743.14653.92333.92334.1515
H73.05952.92432.10691.09592.16983.92331.75752.7370
H83.05952.92432.10691.09592.16983.92331.75752.7370
H92.07813.18333.37562.31051.08444.15152.73702.7370

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 117.528 N1 C2 H6 119.105
N1 C5 C4 111.383 N1 C5 H9 122.150
C2 N1 C5 103.360 C2 N3 C4 104.108
N3 C2 H6 123.367 N3 C4 C5 103.620
N3 C4 H7 110.489 N3 C4 H8 110.489
C4 C5 H9 126.466 C5 C4 H7 112.843
C5 C4 H8 112.843 H7 C4 H8 106.617
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at TPSSh/aug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.464      
2 C -0.058      
3 N -0.547      
4 C 0.317      
5 C -0.171      
6 H 0.355      
7 H 0.121      
8 H 0.121      
9 H 0.326      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.035 -2.083 0.000 2.083
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 7.744 -0.261 0.000
y -0.261 8.308 0.000
z 0.000 0.000 4.989


<r2> (average value of r2) Å2
<r2> 81.533
(<r2>)1/2 9.030