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

using model chemistry: HF/Def2TZVPP

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at HF/Def2TZVPP
 hartrees
Energy at 0K-224.883869
Energy at 298.15K-224.890039
HF Energy-224.883869
Nuclear repulsion energy162.699277
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 HF/Def2TZVPP
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 A' 3366 3051 16.60      
2 A' 3339 3027 14.37      
3 A' 3185 2887 11.02      
4 A' 1850 1677 81.88      
5 A' 1746 1583 32.61      
6 A' 1552 1407 9.45      
7 A' 1454 1318 38.79      
8 A' 1438 1303 19.94      
9 A' 1396 1265 4.56      
10 A' 1125 1020 82.11      
11 A' 1089 987 19.58      
12 A' 1002 908 2.27      
13 A' 957 867 1.58      
14 A' 942 854 13.43      
15 A" 3217 2916 7.39      
16 A" 1284 1164 0.38      
17 A" 1137 1031 14.18      
18 A" 1097 995 1.20      
19 A" 845 766 2.51      
20 A" 609 552 31.40      
21 A" 407 369 3.86      

Unscaled Zero Point Vibrational Energy (zpe) 16518.4 cm-1
Scaled (by 0.9064) Zero Point Vibrational Energy (zpe) 14972.3 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 HF/Def2TZVPP
ABC
0.32798 0.30035 0.16141

See section I.F.4 to change rotational constant units
Geometric Data calculated at HF/Def2TZVPP

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 -1.182 0.341 0.000
C2 0.000 1.125 0.000
N3 1.092 0.510 0.000
C4 0.736 -0.891 0.000
C5 -0.759 -0.845 0.000
H6 -0.083 2.194 0.000
H7 1.131 -1.396 0.875
H8 1.131 -1.396 -0.875
H9 -1.416 -1.695 0.000

Atom - Atom Distances (Å)
  N1 C2 N3 C4 C5 H6 H7 H8 H9
N11.41812.28012.27941.25952.15433.02183.02182.0494
C21.41811.25332.14612.11141.07232.89822.89823.1556
N32.28011.25331.44542.29412.05352.09752.09753.3396
C42.27942.14611.44541.49563.19181.08471.08472.2975
C51.25952.11142.29411.49563.11372.15422.15421.0741
H62.15431.07232.05353.19183.11373.88933.88934.1112
H73.02182.89822.09751.08472.15423.88931.75012.7098
H83.02182.89822.09751.08472.15423.88931.75012.7098
H92.04943.15563.33962.29751.07414.11122.70982.7098

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 117.051 N1 C2 H6 119.126
N1 C5 C4 111.364 N1 C5 H9 122.655
C2 N1 C5 103.943 C2 N3 C4 105.129
N3 C2 H6 123.823 N3 C4 C5 102.514
N3 C4 H7 111.190 N3 C4 H8 111.190
C4 C5 H9 125.982 C5 C4 H7 112.220
C5 C4 H8 112.220 H7 C4 H8 107.543
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HF/Def2TZVPP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.364      
2 C 0.229      
3 N -0.371      
4 C 0.123      
5 C 0.081      
6 H 0.091      
7 H 0.064      
8 H 0.064      
9 H 0.084      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.161 -2.140 0.000 2.146
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -35.829 -0.589 0.000
y -0.589 -23.743 0.000
z 0.000 0.000 -29.142
Traceless
 xyz
x -9.387 -0.589 0.000
y -0.589 8.743 0.000
z 0.000 0.000 0.644
Polar
3z2-r21.287
x2-y2-12.087
xy-0.589
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.544 -0.421 0.000
y -0.421 7.448 0.000
z 0.000 0.000 4.406


<r2> (average value of r2) Å2
<r2> 80.270
(<r2>)1/2 8.959