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

using model chemistry: HF/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 HF/6-311G**
 hartrees
Energy at 0K-224.849392
Energy at 298.15K-224.855561
HF Energy-224.849392
Nuclear repulsion energy162.422711
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 HF/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' 3370 3061 18.29      
2 A' 3340 3035 14.55      
3 A' 3189 2897 9.39      
4 A' 1858 1688 77.51      
5 A' 1755 1594 32.15      
6 A' 1553 1410 9.97      
7 A' 1450 1318 33.98      
8 A' 1436 1305 21.80      
9 A' 1388 1261 4.93      
10 A' 1128 1024 80.95      
11 A' 1093 993 20.51      
12 A' 1002 911 2.29      
13 A' 960 872 2.18      
14 A' 944 858 14.15      
15 A" 3223 2928 10.59      
16 A" 1280 1163 0.40      
17 A" 1132 1028 14.61      
18 A" 1088 989 1.09      
19 A" 843 766 2.58      
20 A" 609 554 33.20      
21 A" 401 364 4.77      

Unscaled Zero Point Vibrational Energy (zpe) 16520.8 cm-1
Scaled (by 0.9085) Zero Point Vibrational Energy (zpe) 15009.1 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 HF/6-311G**
ABC
0.32721 0.29904 0.16087

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

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 -1.186 0.342 0.000
C2 0.000 1.125 0.000
N3 1.095 0.511 0.000
C4 0.738 -0.892 0.000
C5 -0.760 -0.846 0.000
H6 -0.084 2.196 0.000
H7 1.136 -1.395 0.877
H8 1.136 -1.395 -0.877
H9 -1.420 -1.697 0.000

Atom - Atom Distances (Å)
  N1 C2 N3 C4 C5 H6 H7 H8 H9
N11.42092.28682.28531.26152.15663.02933.02932.0521
C21.42091.25562.14742.11251.07422.90012.90013.1589
N32.28681.25561.44682.29842.05692.09812.09813.3462
C42.28532.14741.44681.49943.19511.08681.08682.3034
C51.26152.11252.29841.49943.11612.16062.16061.0765
H62.15661.07422.05693.19513.11613.89273.89274.1155
H73.02932.90012.09811.08682.16063.89271.75412.7192
H83.02932.90012.09811.08682.16063.89271.75412.7192
H92.05213.15893.34622.30341.07654.11552.71922.7192

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 117.255 N1 C2 H6 118.956
N1 C5 C4 111.440 N1 C5 H9 122.532
C2 N1 C5 103.751 C2 N3 C4 105.023
N3 C2 H6 123.789 N3 C4 C5 102.530
N3 C4 H7 111.014 N3 C4 H8 111.014
C4 C5 H9 126.027 C5 C4 H7 112.346
C5 C4 H8 112.346 H7 C4 H8 107.611
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HF/6-311G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.357      
2 C 0.228      
3 N -0.382      
4 C -0.050      
5 C 0.052      
6 H 0.118      
7 H 0.137      
8 H 0.137      
9 H 0.117      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.141 -2.155 0.000 2.159
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -35.806 -0.568 0.000
y -0.568 -23.677 0.000
z 0.000 0.000 -28.990
Traceless
 xyz
x -9.473 -0.568 0.000
y -0.568 8.721 0.000
z 0.000 0.000 0.752
Polar
3z2-r21.503
x2-y2-12.129
xy-0.568
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.944 -0.497 0.000
y -0.497 7.089 0.000
z 0.000 0.000 3.716


<r2> (average value of r2) Å2
<r2> 80.428
(<r2>)1/2 8.968