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

using model chemistry: B3LYP/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 B3LYP/6-311G**
 hartrees
Energy at 0K-226.248637
Energy at 298.15K-226.254563
HF Energy-226.248637
Nuclear repulsion energy160.709789
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 B3LYP/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' 3202 3096 12.90      
2 A' 3179 3073 9.75      
3 A' 3032 2932 1.85      
4 A' 1651 1597 45.30      
5 A' 1551 1499 10.09      
6 A' 1403 1357 22.79      
7 A' 1316 1273 24.37      
8 A' 1300 1257 4.61      
9 A' 1258 1216 7.92      
10 A' 1028 994 61.95      
11 A' 992 959 11.26      
12 A' 934 903 4.73      
13 A' 882 853 1.02      
14 A' 880 851 15.62      
15 A" 3061 2959 2.20      
16 A" 1159 1120 0.38      
17 A" 1004 970 14.35      
18 A" 964 932 0.72      
19 A" 754 729 6.60      
20 A" 569 550 22.00      
21 A" 372 360 7.27      

Unscaled Zero Point Vibrational Energy (zpe) 15245.1 cm-1
Scaled (by 0.9668) Zero Point Vibrational Energy (zpe) 14739.0 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 B3LYP/6-311G**
ABC
0.32079 0.29305 0.15761

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/6-311G**

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 -1.198 0.355 0.000
C2 0.000 1.136 0.000
N3 1.116 0.508 0.000
C4 0.734 -0.900 0.000
C5 -0.766 -0.856 0.000
H6 -0.077 2.217 0.000
H7 1.144 -1.411 0.879
H8 1.144 -1.411 -0.879
H9 -1.436 -1.710 0.000

Atom - Atom Distances (Å)
  N1 C2 N3 C4 C5 H6 H7 H8 H9
N11.43042.31882.30381.28542.17333.06253.06252.0781
C21.43041.28022.16422.13411.08362.92722.92723.1875
N32.31881.28021.45872.32402.08412.11062.11063.3807
C42.30382.16421.45871.50083.22071.09671.09672.3161
C51.28542.13412.32401.50083.14892.17552.17551.0852
H62.17331.08362.08413.22073.14893.92743.92744.1549
H73.06252.92722.11061.09672.17553.92741.75892.7428
H83.06252.92722.11061.09672.17553.92741.75892.7428
H92.07813.18753.38072.31611.08524.15492.74282.7428

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 117.518 N1 C2 H6 119.003
N1 C5 C4 111.321 N1 C5 H9 122.250
C2 N1 C5 103.466 C2 N3 C4 104.211
N3 C2 H6 123.479 N3 C4 C5 103.484
N3 C4 H7 110.567 N3 C4 H8 110.567
C4 C5 H9 126.429 C5 C4 H7 112.835
C5 C4 H8 112.835 H7 C4 H8 106.619
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/6-311G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.262      
2 C 0.118      
3 N -0.276      
4 C -0.129      
5 C 0.002      
6 H 0.120      
7 H 0.153      
8 H 0.153      
9 H 0.120      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.045 -2.062 0.000 2.062
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -35.208 -0.624 0.000
y -0.624 -24.043 0.000
z 0.000 0.000 -28.851
Traceless
 xyz
x -8.761 -0.624 0.000
y -0.624 7.986 0.000
z 0.000 0.000 0.775
Polar
3z2-r21.549
x2-y2-11.165
xy-0.624
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.414 -0.373 0.000
y -0.373 7.557 0.000
z 0.000 0.000 3.886


<r2> (average value of r2) Å2
<r2> 81.595
(<r2>)1/2 9.033