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

using model chemistry: BLYP/6-31G(2df,p)

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at BLYP/6-31G(2df,p)
 hartrees
Energy at 0K-226.149554
Energy at 298.15K-226.155381
HF Energy-226.149554
Nuclear repulsion energy161.933830
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 BLYP/6-31G(2df,p)
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' 3548 3529 28.38      
2 A' 3203 3185 3.53      
3 A' 3177 3159 2.00      
4 A' 3171 3154 6.53      
5 A' 1499 1490 10.26      
6 A' 1449 1441 13.55      
7 A' 1375 1367 13.25      
8 A' 1311 1304 6.58      
9 A' 1245 1238 0.36      
10 A' 1119 1113 5.32      
11 A' 1116 1110 2.36      
12 A' 1063 1057 13.70      
13 A' 1043 1037 29.70      
14 A' 915 910 1.19      
15 A' 875 871 11.18      
16 A" 814 810 9.15      
17 A" 762 757 31.56      
18 A" 688 684 12.24      
19 A" 664 661 1.87      
20 A" 625 622 13.73      
21 A" 497 494 71.34      

Unscaled Zero Point Vibrational Energy (zpe) 15078.4 cm-1
Scaled (by 0.9945) Zero Point Vibrational Energy (zpe) 14995.5 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 BLYP/6-31G(2df,p)
ABC
0.32078 0.30817 0.15717

See section I.F.4 to change rotational constant units
Geometric Data calculated at BLYP/6-31G(2df,p)

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 1.113 0.000
C2 -1.099 0.284 0.000
C3 1.128 0.302 0.000
N4 -0.748 -0.995 0.000
C5 0.641 -0.990 0.000
H6 -0.006 2.127 0.000
H7 -2.114 0.670 0.000
H8 2.128 0.719 0.000
H9 1.206 -1.917 0.000

Atom - Atom Distances (Å)
  N1 C2 C3 N4 C5 H6 H7 H8 H9
N11.37681.38922.23642.19831.01432.16002.16453.2611
C21.37682.22721.32602.15622.14341.08593.25663.1869
C31.38922.22722.28031.38092.14863.26291.08362.2205
N42.23641.32602.28031.38833.20902.15373.34772.1602
C52.19832.15621.38091.38833.18353.21612.26551.0858
H61.01432.14342.14863.20903.18352.56312.55694.2218
H72.16001.08593.26292.15373.21612.56314.24274.2088
H82.16453.25661.08363.34772.26552.55694.24272.7925
H93.26113.18692.22052.16021.08584.22184.20882.7925

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 111.660 N1 C2 H7 122.140
N1 C3 C5 105.045 N1 C3 H8 121.677
C2 N1 C3 107.256 C2 N1 H6 126.714
C2 N4 C5 105.172 C3 N1 H6 126.029
C3 C5 N4 110.867 C3 C5 H9 127.966
N4 C2 H7 126.200 N4 C5 H9 121.167
C5 C3 H8 133.279
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at BLYP/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.183      
2 C 0.019      
3 C -0.092      
4 N -0.232      
5 C -0.056      
6 H 0.244      
7 H 0.109      
8 H 0.105      
9 H 0.086      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  1.051 3.380 0.000 3.540
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -26.550 -2.922 0.000
y -2.922 -25.333 0.000
z 0.000 0.000 -30.833
Traceless
 xyz
x 1.533 -2.922 0.000
y -2.922 3.358 0.000
z 0.000 0.000 -4.892
Polar
3z2-r2-9.784
x2-y2-1.217
xy-2.922
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.571 -0.222 0.000
y -0.222 7.249 0.000
z 0.000 0.000 3.122


<r2> (average value of r2) Å2
<r2> 80.606
(<r2>)1/2 8.978