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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-226.211728
Energy at 298.15K-226.217612
HF Energy-226.211728
Nuclear repulsion energy160.333870
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' 3228 3095 17.41      
2 A' 3206 3073 12.42      
3 A' 3047 2921 2.30      
4 A' 1654 1585 40.89      
5 A' 1552 1488 10.44      
6 A' 1420 1362 16.76      
7 A' 1332 1277 23.14      
8 A' 1311 1257 5.52      
9 A' 1264 1212 7.65      
10 A' 1034 992 58.26      
11 A' 996 955 10.77      
12 A' 942 903 2.96      
13 A' 872 836 1.93      
14 A' 871 835 13.84      
15 A" 3083 2956 2.42      
16 A" 1161 1113 0.23      
17 A" 1002 960 12.31      
18 A" 956 917 1.06      
19 A" 747 716 5.73      
20 A" 559 536 20.77      
21 A" 360 345 8.05      

Unscaled Zero Point Vibrational Energy (zpe) 15298.4 cm-1
Scaled (by 0.9587) Zero Point Vibrational Energy (zpe) 14666.6 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/6-31G**
ABC
0.32043 0.29089 0.15691

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 -1.205 0.362 0.000
C2 0.000 1.134 0.000
N3 1.124 0.504 0.000
C4 0.732 -0.902 0.000
C5 -0.768 -0.855 0.000
H6 -0.072 2.216 0.000
H7 1.142 -1.414 0.881
H8 1.142 -1.414 -0.881
H9 -1.438 -1.710 0.000

Atom - Atom Distances (Å)
  N1 C2 N3 C4 C5 H6 H7 H8 H9
N11.43072.33342.31261.29332.17293.07153.07152.0851
C21.43071.28852.16292.13181.08502.92722.92723.1867
N32.33341.28851.45952.32982.08852.11092.11093.3868
C42.31262.16291.45951.50063.21981.09811.09812.3162
C51.29332.13182.32981.50063.14922.17552.17551.0865
H62.17291.08502.08853.21983.14923.92763.92764.1572
H73.07152.92722.11091.09812.17553.92761.76162.7420
H83.07152.92722.11091.09812.17553.92761.76162.7420
H92.08513.18673.38682.31621.08654.15722.74202.7420

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 118.124 N1 C2 H6 118.836
N1 C5 C4 111.522 N1 C5 H9 122.135
C2 N1 C5 102.887 C2 N3 C4 103.652
N3 C2 H6 123.040 N3 C4 C5 103.815
N3 C4 H7 110.446 N3 C4 H8 110.446
C4 C5 H9 126.343 C5 C4 H7 112.763
C5 C4 H8 112.763 H7 C4 H8 106.665
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 -0.395      
2 C 0.219      
3 N -0.393      
4 C -0.159      
5 C 0.090      
6 H 0.145      
7 H 0.175      
8 H 0.175      
9 H 0.143      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.043 -2.081 0.000 2.081
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 6.232 -0.337 0.000
y -0.337 7.375 0.000
z 0.000 0.000 3.493


<r2> (average value of r2) Å2
<r2> 81.557
(<r2>)1/2 9.031