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

using model chemistry: LSDA/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 LSDA/6-31G**
 hartrees
Energy at 0K-224.949754
Energy at 298.15K-224.955581
HF Energy-224.949754
Nuclear repulsion energy161.329815
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 LSDA/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' 3149 3090 8.60      
2 A' 3134 3075 4.30      
3 A' 2977 2921 1.15      
4 A' 1630 1599 40.22      
5 A' 1536 1508 8.85      
6 A' 1316 1292 32.49      
7 A' 1290 1265 29.05      
8 A' 1268 1245 3.42      
9 A' 1208 1186 7.73      
10 A' 1067 1047 32.10      
11 A' 1020 1001 33.80      
12 A' 943 926 2.55      
13 A' 876 860 7.68      
14 A' 870 854 13.71      
15 A" 3013 2957 0.56      
16 A" 1099 1079 0.15      
17 A" 954 936 9.19      
18 A" 922 905 1.69      
19 A" 713 699 7.16      
20 A" 560 550 19.17      
21 A" 348 342 12.33      

Unscaled Zero Point Vibrational Energy (zpe) 14946.4 cm-1
Scaled (by 0.9813) Zero Point Vibrational Energy (zpe) 14666.9 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 LSDA/6-31G**
ABC
0.32376 0.29636 0.15929

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

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 -1.189 0.371 0.000
C2 0.000 1.127 0.000
N3 1.119 0.488 0.000
C4 0.718 -0.891 0.000
C5 -0.763 -0.849 0.000
H6 -0.058 2.221 0.000
H7 1.132 -1.424 0.880
H8 1.132 -1.424 -0.880
H9 -1.444 -1.709 0.000

Atom - Atom Distances (Å)
  N1 C2 N3 C4 C5 H6 H7 H8 H9
N11.40942.31172.28731.29282.16863.06363.06362.0956
C21.40941.28902.14202.11881.09592.92622.92623.1827
N32.31171.28901.43582.30922.09592.10442.10443.3761
C42.28732.14201.43581.48203.20771.10891.10892.3121
C51.29282.11882.30921.48203.15072.16722.16721.0966
H62.16861.09592.09593.20773.15073.93433.93434.1676
H73.06362.92622.10441.10892.16723.93431.75992.7375
H83.06362.92622.10441.10892.16723.93431.75992.7375
H92.09563.18273.37612.31211.09664.16762.73752.7375

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 117.826 N1 C2 H6 119.381
N1 C5 C4 110.847 N1 C5 H9 122.361
C2 N1 C5 103.194 C2 N3 C4 103.510
N3 C2 H6 122.793 N3 C4 C5 104.622
N3 C4 H7 110.921 N3 C4 H8 110.921
C4 C5 H9 126.792 C5 C4 H7 112.746
C5 C4 H8 112.746 H7 C4 H8 105.034
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at LSDA/6-31G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.334      
2 C 0.148      
3 N -0.326      
4 C -0.236      
5 C 0.060      
6 H 0.147      
7 H 0.198      
8 H 0.198      
9 H 0.145      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.160 -2.159 0.000 2.165
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -34.365 -0.723 0.000
y -0.723 -23.677 0.000
z 0.000 0.000 -28.507
Traceless
 xyz
x -8.274 -0.723 0.000
y -0.723 7.759 0.000
z 0.000 0.000 0.514
Polar
3z2-r21.029
x2-y2-10.689
xy-0.723
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.281 -0.319 0.000
y -0.319 7.481 0.000
z 0.000 0.000 3.539


<r2> (average value of r2) Å2
<r2> 80.737
(<r2>)1/2 8.985