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

using model chemistry: mPW1PW91/6-311G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at mPW1PW91/6-311G*
 hartrees
Energy at 0K-226.210187
Energy at 298.15K-226.216187
HF Energy-226.210187
Nuclear repulsion energy163.886325
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 mPW1PW91/6-311G*
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' 3711 3542 44.69      
2 A' 3301 3151 3.37      
3 A' 3273 3124 2.09      
4 A' 3268 3119 8.95      
5 A' 1589 1517 14.92      
6 A' 1533 1463 18.83      
7 A' 1473 1405 13.76      
8 A' 1396 1332 7.05      
9 A' 1294 1235 0.52      
10 A' 1194 1140 4.14      
11 A' 1164 1111 2.35      
12 A' 1115 1064 28.17      
13 A' 1091 1041 34.12      
14 A' 954 911 2.39      
15 A' 914 872 8.23      
16 A" 868 828 5.94      
17 A" 817 779 38.39      
18 A" 726 693 39.79      
19 A" 691 660 4.81      
20 A" 655 625 14.56      
21 A" 541 516 104.24      

Unscaled Zero Point Vibrational Energy (zpe) 15783.5 cm-1
Scaled (by 0.9544) Zero Point Vibrational Energy (zpe) 15063.8 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 mPW1PW91/6-311G*
ABC
0.32869 0.31573 0.16104

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/6-311G*

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 1.100 0.000
C2 -1.084 0.280 0.000
C3 1.114 0.299 0.000
N4 -0.739 -0.981 0.000
C5 0.631 -0.979 0.000
H6 -0.008 2.104 0.000
H7 -2.095 0.659 0.000
H8 2.112 0.704 0.000
H9 1.192 -1.902 0.000

Atom - Atom Distances (Å)
  N1 C2 C3 N4 C5 H6 H7 H8 H9
N11.35871.37222.20792.17311.00412.14062.14933.2295
C21.35872.19781.30732.12762.11741.07953.22403.1523
C31.37222.19782.25181.36672.12543.22891.07732.2020
N42.20791.30732.25181.36973.17012.12753.31162.1387
C52.17312.12761.36671.36973.14903.18012.24231.0792
H61.00412.11742.12543.17013.14902.53832.54104.1814
H72.14061.07953.22892.12753.18012.53834.20734.1659
H82.14933.22401.07733.31162.24232.54104.20732.7634
H93.22953.15232.20202.13871.07924.18144.16592.7634

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 111.808 N1 C2 H7 122.370
N1 C3 C5 105.011 N1 C3 H8 122.217
C2 N1 C3 107.182 C2 N1 H6 126.655
C2 N4 C5 105.245 C3 N1 H6 126.163
C3 C5 N4 110.754 C3 C5 H9 128.004
N4 C2 H7 125.822 N4 C5 H9 121.242
C5 C3 H8 132.772
Electronic energy levels

Electronic state

Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/6-311G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.520      
2 C 0.085      
3 C -0.078      
4 N -0.318      
5 C -0.184      
6 H 0.359      
7 H 0.224      
8 H 0.224      
9 H 0.208      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  1.110 3.647 0.000 3.812
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -26.186 -3.233 0.000
y -3.233 -25.048 0.000
z 0.000 0.000 -31.728
Traceless
 xyz
x 2.202 -3.233 0.000
y -3.233 3.909 0.000
z 0.000 0.000 -6.111
Polar
3z2-r2-12.223
x2-y2-1.138
xy-3.233
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.247 -0.158 0.000
y -0.158 6.937 0.000
z 0.000 0.000 3.298


<r2> (average value of r2) Å2
<r2> 79.182
(<r2>)1/2 8.898