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

using model chemistry: PBEPBEultrafine/6-31+G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at PBEPBEultrafine/6-31+G**
 hartrees
Energy at 0K-225.964420
Energy at 298.15K-225.970255
HF Energy-225.964420
Nuclear repulsion energy162.069002
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 PBEPBEultrafine/6-31+G**
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' 3578 3538 40.09      
2 A' 3222 3186 1.50      
3 A' 3200 3163 1.17      
4 A' 3193 3157 4.13      
5 A' 1511 1494 9.68      
6 A' 1462 1446 20.94      
7 A' 1401 1385 12.28      
8 A' 1340 1325 6.41      
9 A' 1241 1227 0.60      
10 A' 1152 1138 3.21      
11 A' 1118 1106 4.08      
12 A' 1074 1061 29.40      
13 A' 1050 1039 27.77      
14 A' 910 900 2.30      
15 A' 869 859 6.86      
16 A" 824 814 9.70      
17 A" 760 751 54.28      
18 A" 688 680 34.34      
19 A" 659 652 2.51      
20 A" 622 615 14.28      
21 A" 507 501 86.80      

Unscaled Zero Point Vibrational Energy (zpe) 15190.5 cm-1
Scaled (by 0.9886) Zero Point Vibrational Energy (zpe) 15017.3 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 PBEPBEultrafine/6-31+G**
ABC
0.32177 0.30844 0.15748

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

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 1.111 0.000
C2 -1.097 0.284 0.000
C3 1.126 0.305 0.000
N4 -0.745 -0.995 0.000
C5 0.638 -0.990 0.000
H6 -0.008 2.128 0.000
H7 -2.117 0.666 0.000
H8 2.132 0.717 0.000
H9 1.206 -1.919 0.000

Atom - Atom Distances (Å)
  N1 C2 C3 N4 C5 H6 H7 H8 H9
N11.37411.38472.23362.19551.01672.16342.16853.2609
C21.37412.22351.32652.15272.14131.08903.25853.1872
C31.38472.22352.27801.38382.14683.26321.08722.2251
N42.23361.32652.27801.38273.20812.15453.34762.1587
C52.19552.15271.38381.38273.18383.21442.26821.0889
H61.01672.14132.14683.20813.18382.56592.56404.2247
H72.16341.08903.26322.15453.21442.56594.24984.2102
H82.16853.25851.08723.34762.26822.56404.24982.7931
H93.26093.18722.22512.15871.08894.22474.21022.7931

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 111.585 N1 C2 H7 122.465
N1 C3 C5 104.943 N1 C3 H8 122.166
C2 N1 C3 107.404 C2 N1 H6 126.529
C2 N4 C5 105.209 C3 N1 H6 126.067
C3 C5 N4 110.858 C3 C5 H9 127.884
N4 C2 H7 125.950 N4 C5 H9 121.258
C5 C3 H8 132.891
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.314      
2 C 0.021      
3 C -0.107      
4 N -0.261      
5 C -0.108      
6 H 0.307      
7 H 0.156      
8 H 0.159      
9 H 0.146      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  1.178 3.636 0.000 3.822
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -27.110 -3.428 0.000
y -3.428 -26.050 0.000
z 0.000 0.000 -32.529
Traceless
 xyz
x 2.179 -3.428 0.000
y -3.428 3.770 0.000
z 0.000 0.000 -5.949
Polar
3z2-r2-11.898
x2-y2-1.060
xy-3.428
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.477 0.054 0.000
y 0.054 8.177 0.000
z 0.000 0.000 4.729


<r2> (average value of r2) Å2
<r2> 81.135
(<r2>)1/2 9.007