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All results from a given calculation for C3H4N2 (1H-Imidazole)

using model chemistry: B3LYPultrafine/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 B3LYPultrafine/6-31G**
 hartrees
Energy at 0K-226.223097
Energy at 298.15K-226.229043
HF Energy-226.223097
Nuclear repulsion energy163.040530
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 B3LYPultrafine/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' 3671 3527 48.10      
2 A' 3291 3162 2.10      
3 A' 3261 3133 0.92      
4 A' 3257 3130 7.95      
5 A' 1573 1512 12.58      
6 A' 1518 1459 18.87      
7 A' 1448 1391 15.75      
8 A' 1381 1327 8.08      
9 A' 1291 1240 0.51      
10 A' 1171 1125 5.20      
11 A' 1154 1109 2.66      
12 A' 1102 1059 17.93      
13 A' 1082 1039 34.28      
14 A' 943 906 1.56      
15 A' 904 869 8.45      
16 A" 863 829 4.49      
17 A" 806 774 29.32      
18 A" 725 697 22.92      
19 A" 683 656 2.97      
20 A" 645 620 12.95      
21 A" 513 493 95.84      

Unscaled Zero Point Vibrational Energy (zpe) 15640.5 cm-1
Scaled (by 0.9608) Zero Point Vibrational Energy (zpe) 15027.4 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 B3LYPultrafine/6-31G**
ABC
0.32513 0.31251 0.15935

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYPultrafine/6-31G**

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 1.106 0.000
C2 -1.090 0.281 0.000
C3 1.120 0.300 0.000
N4 -0.743 -0.987 0.000
C5 0.635 -0.983 0.000
H6 -0.010 2.114 0.000
H7 -2.102 0.662 0.000
H8 2.120 0.705 0.000
H9 1.200 -1.905 0.000

Atom - Atom Distances (Å)
  N1 C2 C3 N4 C5 H6 H7 H8 H9
N11.36711.38012.22082.18391.00822.14872.15763.2416
C21.36712.21081.31492.13972.12761.08133.23833.1664
C31.38012.21082.26451.37212.13723.24301.07872.2069
N42.22081.31492.26451.37843.18652.13723.32572.1488
C52.18392.13971.37211.37843.16413.19442.24851.0809
H61.00822.12762.13723.18653.16412.54692.55374.1975
H72.14871.08133.24302.13723.19442.54694.22274.1829
H82.15763.23831.07873.32572.24852.55374.22272.7681
H93.24163.16642.20692.14881.08094.19754.18292.7681

picture of 1H-Imidazole state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
N1 C2 N4 111.779 N1 C2 H7 122.272
N1 C3 C5 105.035 N1 C3 H8 122.211
C2 N1 C3 107.170 C2 N1 H6 126.546
C2 N4 C5 105.179 C3 N1 H6 126.284
C3 C5 N4 110.836 C3 C5 H9 127.839
N4 C2 H7 125.949 N4 C5 H9 121.325
C5 C3 H8 132.754
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYPultrafine/6-31G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.484      
2 C 0.260      
3 C 0.063      
4 N -0.439      
5 C 0.023      
6 H 0.267      
7 H 0.112      
8 H 0.108      
9 H 0.091      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  1.114 3.532 0.000 3.704
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -26.228 -3.119 0.000
y -3.119 -25.165 0.000
z 0.000 0.000 -31.034
Traceless
 xyz
x 1.871 -3.119 0.000
y -3.119 3.466 0.000
z 0.000 0.000 -5.337
Polar
3z2-r2-10.674
x2-y2-1.063
xy-3.119
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.119 -0.206 0.000
y -0.206 6.853 0.000
z 0.000 0.000 2.627


<r2> (average value of r2) Å2
<r2> 79.700
(<r2>)1/2 8.927