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

using model chemistry: PBEPBE/6-311G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at PBEPBE/6-311G**
 hartrees
Energy at 0K-225.974173
Energy at 298.15K-225.979987
HF Energy-225.974173
Nuclear repulsion energy159.977156
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 PBEPBE/6-311G**
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' 3133 3104 12.63      
2 A' 3113 3084 9.83      
3 A' 2967 2940 0.93      
4 A' 1587 1572 38.58      
5 A' 1488 1474 6.65      
6 A' 1336 1324 28.31      
7 A' 1271 1260 21.04      
8 A' 1254 1243 4.08      
9 A' 1202 1191 8.39      
10 A' 1008 999 48.97      
11 A' 972 964 16.72      
12 A' 918 910 4.63      
13 A' 858 850 6.79      
14 A' 856 848 10.27      
15 A" 2997 2970 0.62      
16 A" 1111 1100 0.32      
17 A" 957 948 14.60      
18 A" 920 911 1.14      
19 A" 717 710 7.95      
20 A" 551 546 18.98      
21 A" 354 351 8.59      

Unscaled Zero Point Vibrational Energy (zpe) 14784.8 cm-1
Scaled (by 0.9909) Zero Point Vibrational Energy (zpe) 14650.2 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 PBEPBE/6-311G**
ABC
0.31888 0.29007 0.15632

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/6-311G**

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 -1.205 0.364 0.000
C2 0.000 1.137 0.000
N3 1.127 0.503 0.000
C4 0.731 -0.902 0.000
C5 -0.769 -0.858 0.000
H6 -0.070 2.227 0.000
H7 1.146 -1.422 0.883
H8 1.146 -1.422 -0.883
H9 -1.448 -1.715 0.000

Atom - Atom Distances (Å)
  N1 C2 N3 C4 C5 H6 H7 H8 H9
N11.43152.33662.31301.29772.18133.08183.08182.0936
C21.43151.29322.16532.13761.09242.93902.93903.1984
N32.33661.29321.45962.33392.09872.11752.11753.3989
C42.31302.16531.45961.50013.22931.10561.10562.3255
C51.29772.13762.33391.50013.16292.18272.18271.0937
H62.18131.09242.09873.22933.16293.94573.94574.1759
H73.08182.93902.11751.10562.18273.94571.76562.7559
H83.08182.93902.11751.10562.18273.94571.76562.7559
H92.09363.19843.39892.32551.09374.17592.75592.7559

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 118.002 N1 C2 H6 118.990
N1 C5 C4 111.319 N1 C5 H9 121.965
C2 N1 C5 103.010 C2 N3 C4 103.573
N3 C2 H6 123.008 N3 C4 C5 104.097
N3 C4 H7 110.514 N3 C4 H8 110.514
C4 C5 H9 126.716 C5 C4 H7 112.918
C5 C4 H8 112.918 H7 C4 H8 105.971
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/6-311G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.248      
2 C 0.101      
3 N -0.260      
4 C -0.170      
5 C -0.007      
6 H 0.124      
7 H 0.168      
8 H 0.168      
9 H 0.122      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.104 -2.057 0.000 2.059
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -34.970 -0.645 0.000
y -0.645 -24.098 0.000
z 0.000 0.000 -28.873
Traceless
 xyz
x -8.484 -0.645 0.000
y -0.645 7.823 0.000
z 0.000 0.000 0.661
Polar
3z2-r21.322
x2-y2-10.871
xy-0.645
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.692 -0.334 0.000
y -0.334 7.817 0.000
z 0.000 0.000 3.971


<r2> (average value of r2) Å2
<r2> 82.097
(<r2>)1/2 9.061