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

using model chemistry: LSDA/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 LSDA/6-311G*
 hartrees
Energy at 0K-224.996397
Energy at 298.15K-225.002236
HF Energy-224.996397
Nuclear repulsion energy161.730757
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 LSDA/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' 3131 3080 9.20      
2 A' 3112 3061 6.36      
3 A' 2965 2917 1.07      
4 A' 1622 1596 43.96      
5 A' 1527 1502 7.52      
6 A' 1321 1299 42.38      
7 A' 1282 1261 28.46      
8 A' 1264 1243 3.18      
9 A' 1208 1188 8.12      
10 A' 1059 1042 33.57      
11 A' 1018 1001 37.55      
12 A' 941 925 3.95      
13 A' 882 868 8.05      
14 A' 877 862 14.90      
15 A" 2997 2948 0.28      
16 A" 1112 1094 0.25      
17 A" 951 936 14.01      
18 A" 921 906 1.02      
19 A" 714 702 10.15      
20 A" 564 555 19.87      
21 A" 350 345 11.74      

Unscaled Zero Point Vibrational Energy (zpe) 14908.6 cm-1
Scaled (by 0.9837) Zero Point Vibrational Energy (zpe) 14665.6 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 LSDA/6-311G*
ABC
0.32504 0.29807 0.16009

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

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 -1.185 0.367 0.000
C2 0.000 1.126 0.000
N3 1.113 0.489 0.000
C4 0.718 -0.889 0.000
C5 -0.761 -0.849 0.000
H6 -0.061 2.219 0.000
H7 1.137 -1.416 0.879
H8 1.137 -1.416 -0.879
H9 -1.448 -1.703 0.000

Atom - Atom Distances (Å)
  N1 C2 N3 C4 C5 H6 H7 H8 H9
N11.40752.30162.27991.28712.16673.05693.05692.0865
C21.40751.28302.13952.11651.09472.92062.92063.1781
N32.30161.28301.43372.30282.09142.09802.09803.3707
C42.27992.13951.43371.47963.20461.10741.10742.3130
C51.28712.11652.30281.47963.14662.16792.16791.0958
H62.16671.09472.09143.20463.14663.92743.92744.1601
H73.05692.92062.09801.10742.16793.92741.75832.7451
H83.05692.92062.09801.10742.16793.92741.75832.7451
H92.08653.17813.37072.31301.09584.16012.74512.7451

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 117.549 N1 C2 H6 119.453
N1 C5 C4 110.796 N1 C5 H9 122.027
C2 N1 C5 103.436 C2 N3 C4 103.777
N3 C2 H6 122.998 N3 C4 C5 104.442
N3 C4 H7 110.649 N3 C4 H8 110.649
C4 C5 H9 127.177 C5 C4 H7 113.070
C5 C4 H8 113.070 H7 C4 H8 105.091
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at LSDA/6-311G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.231      
2 C -0.035      
3 N -0.213      
4 C -0.491      
5 C -0.087      
6 H 0.242      
7 H 0.289      
8 H 0.289      
9 H 0.237      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.150 -2.173 0.000 2.178
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -35.011 -0.687 0.000
y -0.687 -23.882 0.000
z 0.000 0.000 -28.956
Traceless
 xyz
x -8.592 -0.687 0.000
y -0.687 8.101 0.000
z 0.000 0.000 0.491
Polar
3z2-r20.982
x2-y2-11.129
xy-0.687
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.567 -0.349 0.000
y -0.349 7.669 0.000
z 0.000 0.000 3.918


<r2> (average value of r2) Å2
<r2> 80.722
(<r2>)1/2 8.985