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

using model chemistry: B3PW91/cc-pVTZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at B3PW91/cc-pVTZ
 hartrees
Energy at 0K-226.212642
Energy at 298.15K-226.218655
HF Energy-226.212642
Nuclear repulsion energy163.892155
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 B3PW91/cc-pVTZ
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' 3676 3535 55.32      
2 A' 3279 3153 1.24      
3 A' 3248 3124 0.16      
4 A' 3246 3121 5.76      
5 A' 1565 1505 12.03      
6 A' 1512 1454 16.05      
7 A' 1445 1389 12.50      
8 A' 1378 1325 6.34      
9 A' 1284 1235 0.41      
10 A' 1180 1135 4.04      
11 A' 1150 1106 2.76      
12 A' 1102 1059 21.81      
13 A' 1081 1039 34.01      
14 A' 946 909 1.66      
15 A' 905 871 8.48      
16 A" 881 847 3.74      
17 A" 825 793 32.18      
18 A" 740 711 37.54      
19 A" 686 660 4.24      
20 A" 651 626 10.48      
21 A" 541 520 86.90      

Unscaled Zero Point Vibrational Energy (zpe) 15660.3 cm-1
Scaled (by 0.9616) Zero Point Vibrational Energy (zpe) 15058.9 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 B3PW91/cc-pVTZ
ABC
0.32816 0.31628 0.16105

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/cc-pVTZ

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 1.099 0.000
C2 -1.085 0.282 0.000
C3 1.113 0.299 0.000
N4 -0.738 -0.980 0.000
C5 0.632 -0.980 0.000
H6 -0.009 2.103 0.000
H7 -2.095 0.661 0.000
H8 2.112 0.701 0.000
H9 1.196 -1.899 0.000

Atom - Atom Distances (Å)
  N1 C2 C3 N4 C5 H6 H7 H8 H9
N11.35821.37132.20622.17311.00442.14022.14883.2278
C21.35822.19851.30862.13082.11561.07883.22393.1556
C31.37132.19852.25021.36632.12543.22881.07632.1992
N42.20621.30862.25021.37033.16852.12923.30872.1413
C52.17312.13081.36631.37033.14943.18272.23951.0781
H61.00442.11562.12543.16853.14942.53612.54234.1799
H72.14021.07883.22882.12923.18272.53614.20674.1693
H82.14883.22391.07633.30872.23952.54234.20672.7568
H93.22783.15562.19922.14131.07814.17994.16932.7568

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 111.625 N1 C2 H7 122.431
N1 C3 C5 105.080 N1 C3 H8 122.328
C2 N1 C3 107.301 C2 N1 H6 126.481
C2 N4 C5 105.369 C3 N1 H6 126.219
C3 C5 N4 110.626 C3 C5 H9 127.844
N4 C2 H7 125.945 N4 C5 H9 121.530
C5 C3 H8 132.592
Electronic energy levels

Electronic state

Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.033      
2 C -0.016      
3 C -0.130      
4 N -0.220      
5 C -0.100      
6 H 0.152      
7 H 0.114      
8 H 0.119      
9 H 0.114      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  1.094 3.546 0.000 3.711
CHELPG 0.000 0.000 0.000 0.000
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -26.473 -3.205 0.000
y -3.205 -25.373 0.000
z 0.000 0.000 -31.514
Traceless
 xyz
x 1.970 -3.205 0.000
y -3.205 3.621 0.000
z 0.000 0.000 -5.591
Polar
3z2-r2-11.182
x2-y2-1.100
xy-3.205
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.803 -0.149 0.000
y -0.149 7.432 0.000
z 0.000 0.000 4.007


<r2> (average value of r2) Å2
<r2> 79.258
(<r2>)1/2 8.903