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All results from a given calculation for C3H4N2 (4H-Imidazole)

using model chemistry: BLYP/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 BLYP/6-311G*
 hartrees
Energy at 0K-226.167007
Energy at 298.15K-226.172804
HF Energy-226.167007
Nuclear repulsion energy159.235610
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/6-311G*
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' 3123 3116 19.23      
2 A' 3098 3091 16.54      
3 A' 2958 2951 3.54      
4 A' 1571 1567 39.05      
5 A' 1472 1468 6.19      
6 A' 1377 1374 22.39      
7 A' 1276 1273 18.18      
8 A' 1261 1258 4.26      
9 A' 1219 1216 9.65      
10 A' 978 976 58.83      
11 A' 941 938 4.23      
12 A' 898 896 6.11      
13 A' 850 847 11.07      
14 A' 841 839 5.97      
15 A" 2982 2975 3.97      
16 A" 1131 1128 0.39      
17 A" 963 960 14.09      
18 A" 915 912 0.18      
19 A" 725 723 9.12      
20 A" 550 549 18.13      
21 A" 366 365 7.38      

Unscaled Zero Point Vibrational Energy (zpe) 14746.8 cm-1
Scaled (by 0.9975) Zero Point Vibrational Energy (zpe) 14710.0 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/6-311G*
ABC
0.31569 0.28701 0.15468

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

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 -1.212 0.358 0.000
C2 0.000 1.144 0.000
N3 1.129 0.513 0.000
C4 0.739 -0.909 0.000
C5 -0.773 -0.864 0.000
H6 -0.078 2.232 0.000
H7 1.157 -1.421 0.884
H8 1.157 -1.421 -0.884
H9 -1.450 -1.721 0.000

Atom - Atom Distances (Å)
  N1 C2 N3 C4 C5 H6 H7 H8 H9
N11.44432.34622.32591.29852.19033.09193.09192.0930
C21.44431.29332.18122.15111.09122.94902.94903.2111
N32.34621.29331.47432.34782.10072.12622.12623.4125
C42.32592.18121.47431.51193.24521.10391.10392.3349
C51.29852.15112.34781.51193.17282.19472.19471.0929
H62.19031.09122.10073.24523.17283.95613.95614.1847
H73.09192.94902.12621.10392.19473.95611.76742.7699
H83.09192.94902.12621.10392.19473.95611.76742.7699
H92.09303.21113.41252.33491.09294.18472.76992.7699

picture of 4H-Imidazole state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
N1 C2 N3 117.864 N1 C2 H6 118.840
N1 C5 C4 111.475 N1 C5 H9 121.902
C2 N1 C5 103.174 C2 N3 C4 103.827
N3 C2 H6 123.295 N3 C4 C5 103.659
N3 C4 H7 110.286 N3 C4 H8 110.286
C4 C5 H9 126.623 C5 C4 H7 113.150
C5 C4 H8 113.150 H7 C4 H8 106.358
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at BLYP/6-311G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.223      
2 C -0.004      
3 N -0.214      
4 C -0.369      
5 C -0.058      
6 H 0.203      
7 H 0.234      
8 H 0.234      
9 H 0.197      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.075 -2.010 0.000 2.011
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -35.251 -0.616 0.000
y -0.616 -24.378 0.000
z 0.000 0.000 -29.064
Traceless
 xyz
x -8.530 -0.616 0.000
y -0.616 7.780 0.000
z 0.000 0.000 0.750
Polar
3z2-r21.500
x2-y2-10.874
xy-0.616
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.653 -0.348 0.000
y -0.348 7.811 0.000
z 0.000 0.000 3.922


<r2> (average value of r2) Å2
<r2> 82.880
(<r2>)1/2 9.104