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

using model chemistry: HF/CEP-121G

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/CEP-121G
 hartrees
Energy at 0K-38.034332
Energy at 298.15K-38.040639
HF Energy-38.034332
Nuclear repulsion energy84.466006
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/CEP-121G
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' 3920 3577 75.91      
2 A' 3460 3157 5.93      
3 A' 3437 3136 3.88      
4 A' 3431 3131 2.69      
5 A' 1685 1538 24.41      
6 A' 1606 1465 23.23      
7 A' 1540 1405 20.66      
8 A' 1461 1333 9.45      
9 A' 1379 1259 1.27      
10 A' 1250 1140 1.24      
11 A' 1196 1091 2.15      
12 A' 1176 1073 21.15      
13 A' 1133 1033 71.78      
14 A' 1019 930 3.71      
15 A' 989 902 9.06      
16 A" 1011 922 2.08      
17 A" 957 873 24.43      
18 A" 856 781 64.13      
19 A" 726 662 4.93      
20 A" 694 634 115.55      
21 A" 667 608 86.83      

Unscaled Zero Point Vibrational Energy (zpe) 16795.9 cm-1
Scaled (by 0.9125) Zero Point Vibrational Energy (zpe) 15326.3 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/CEP-121G
ABC
0.31943 0.31379 0.15829

See section I.F.4 to change rotational constant units
Geometric Data calculated at HF/CEP-121G

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 1.111 0.000
C2 -1.100 0.289 0.000
C3 1.126 0.292 0.000
N4 -0.749 -0.978 0.000
C5 0.648 -0.991 0.000
H6 -0.006 2.102 0.000
H7 -2.103 0.656 0.000
H8 2.119 0.681 0.000
H9 1.192 -1.909 0.000

Atom - Atom Distances (Å)
  N1 C2 C3 N4 C5 H6 H7 H8 H9
N11.37311.39212.21852.19950.99132.15162.16253.2461
C21.37312.22621.31432.16652.11761.06783.24343.1755
C31.39212.22622.26481.37002.13443.24951.06692.2019
N42.21851.31432.26481.39693.16792.12143.31392.1530
C52.19952.16651.37001.39693.16153.20602.22821.0667
H60.99132.11762.13443.16793.16152.54762.55614.1856
H72.15161.06783.24952.12143.20602.54764.22254.1753
H82.16253.24341.06693.31392.22822.55614.22252.7512
H93.24613.17552.20192.15301.06674.18564.17532.7512

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 111.269 N1 C2 H7 123.159
N1 C3 C5 105.560 N1 C3 H8 122.596
C2 N1 C3 107.239 C2 N1 H6 126.429
C2 N4 C5 106.052 C3 N1 H6 126.331
C3 C5 N4 109.879 C3 C5 H9 128.860
N4 C2 H7 125.572 N4 C5 H9 121.261
C5 C3 H8 131.844
Electronic energy levels

Electronic state

Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HF/CEP-121G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.386      
2 C -0.160      
3 C -0.128      
4 N -0.085      
5 C -0.207      
6 H 0.362      
7 H 0.200      
8 H 0.214      
9 H 0.190      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  1.390 4.071 0.000 4.302
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -26.772 -4.192 0.000
y -4.192 -26.523 0.000
z 0.000 0.000 -32.790
Traceless
 xyz
x 2.884 -4.192 0.000
y -4.192 3.258 0.000
z 0.000 0.000 -6.142
Polar
3z2-r2-12.284
x2-y2-0.249
xy-4.192
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.874 -0.105 0.000
y -0.105 6.844 0.000
z 0.000 0.000 3.526


<r2> (average value of r2) Å2
<r2> 67.164
(<r2>)1/2 8.195