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

using model chemistry: HF/aug-cc-pVQZ

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/aug-cc-pVQZ
 hartrees
Energy at 0K-224.892221
Energy at 298.15K-224.898396
HF Energy-224.892221
Nuclear repulsion energy162.740389
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/aug-cc-pVQZ
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' 3365 3057 15.62      
2 A' 3337 3032 13.81      
3 A' 3182 2891 11.43      
4 A' 1847 1678 84.59      
5 A' 1743 1583 33.86      
6 A' 1552 1410 9.54      
7 A' 1455 1322 38.05      
8 A' 1439 1307 21.11      
9 A' 1396 1268 3.91      
10 A' 1126 1023 81.59      
11 A' 1090 990 20.16      
12 A' 1002 910 2.24      
13 A' 957 869 1.44      
14 A' 941 855 12.32      
15 A" 3213 2919 6.92      
16 A" 1285 1167 0.49      
17 A" 1137 1033 13.89      
18 A" 1097 997 1.28      
19 A" 844 767 2.47      
20 A" 609 553 30.83      
21 A" 406 369 3.76      

Unscaled Zero Point Vibrational Energy (zpe) 16510.4 cm-1
Scaled (by 0.9085) Zero Point Vibrational Energy (zpe) 14999.7 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/aug-cc-pVQZ
ABC
0.32809 0.30056 0.16149

See section I.F.4 to change rotational constant units
Geometric Data calculated at HF/aug-cc-pVQZ

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 -1.182 0.341 0.000
C2 0.000 1.124 0.000
N3 1.092 0.509 0.000
C4 0.737 -0.890 0.000
C5 -0.759 -0.844 0.000
H6 -0.083 2.193 0.000
H7 1.132 -1.395 0.875
H8 1.132 -1.395 -0.875
H9 -1.416 -1.694 0.000

Atom - Atom Distances (Å)
  N1 C2 N3 C4 C5 H6 H7 H8 H9
N11.41802.28082.28031.25902.15333.02293.02292.0486
C21.41801.25322.14492.10961.07192.89692.89693.1536
N32.28081.25321.44432.29332.05282.09582.09583.3382
C42.28032.14491.44431.49623.19011.08451.08452.2972
C51.25902.10962.29331.49623.11142.15542.15541.0738
H62.15331.07192.05283.19013.11143.88743.88744.1089
H73.02292.89692.09581.08452.15543.88741.74922.7106
H83.02292.89692.09581.08452.15543.88741.74922.7106
H92.04863.15363.33822.29721.07384.10892.71062.7106

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 117.129 N1 C2 H6 119.075
N1 C5 C4 111.421 N1 C5 H9 122.647
C2 N1 C5 103.846 C2 N3 C4 105.116
N3 C2 H6 123.796 N3 C4 C5 102.488
N3 C4 H7 111.152 N3 C4 H8 111.152
C4 C5 H9 125.932 C5 C4 H7 112.289
C5 C4 H8 112.289 H7 C4 H8 107.506
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HF/aug-cc-pVQZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.570      
2 C -0.131      
3 N -0.540      
4 C -0.315      
5 C -0.229      
6 H 0.615      
7 H 0.294      
8 H 0.294      
9 H 0.582      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.166 -2.151 0.000 2.157
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -35.936 -0.611 0.000
y -0.611 -23.767 0.000
z 0.000 0.000 -29.233
Traceless
 xyz
x -9.437 -0.611 0.000
y -0.611 8.818 0.000
z 0.000 0.000 0.618
Polar
3z2-r21.236
x2-y2-12.170
xy-0.611
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.908 -0.366 0.000
y -0.366 7.621 0.000
z 0.000 0.000 4.718


<r2> (average value of r2) Å2
<r2> 80.285
(<r2>)1/2 8.960