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

using model chemistry: PBEPBE/aug-cc-pVDZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at PBEPBE/aug-cc-pVDZ
 hartrees
Energy at 0K-225.980963
Energy at 298.15K-225.986853
HF Energy-225.980963
Nuclear repulsion energy161.950215
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 PBEPBE/aug-cc-pVDZ
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' 3559 3537 37.14      
2 A' 3214 3194 1.49      
3 A' 3190 3171 1.06      
4 A' 3183 3164 3.69      
5 A' 1503 1494 7.35      
6 A' 1454 1445 18.35      
7 A' 1398 1390 10.18      
8 A' 1332 1324 5.27      
9 A' 1230 1222 0.50      
10 A' 1150 1143 3.01      
11 A' 1107 1100 3.92      
12 A' 1065 1058 25.72      
13 A' 1044 1038 25.51      
14 A' 910 904 1.51      
15 A' 868 863 7.86      
16 A" 825 820 7.38      
17 A" 770 766 44.86      
18 A" 698 694 34.12      
19 A" 662 658 1.51      
20 A" 629 625 14.86      
21 A" 540 537 77.11      

Unscaled Zero Point Vibrational Energy (zpe) 15165.1 cm-1
Scaled (by 0.9939) Zero Point Vibrational Energy (zpe) 15072.6 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 PBEPBE/aug-cc-pVDZ
ABC
0.32114 0.30824 0.15728

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

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 1.111 0.000
C2 -1.098 0.285 0.000
C3 1.126 0.305 0.000
N4 -0.745 -0.995 0.000
C5 0.638 -0.991 0.000
H6 -0.008 2.128 0.000
H7 -2.121 0.669 0.000
H8 2.136 0.719 0.000
H9 1.211 -1.922 0.000

Atom - Atom Distances (Å)
  N1 C2 C3 N4 C5 H6 H7 H8 H9
N11.37391.38432.23352.19651.01742.16632.17163.2657
C21.37392.22441.32792.15512.14121.09253.26323.1945
C31.38432.22442.27861.38532.14673.26741.09132.2294
N42.23351.32792.27861.38343.20882.15953.35242.1646
C52.19652.15511.38531.38343.18543.22042.27321.0932
H61.01742.14122.14673.20883.18542.56742.56574.2298
H72.16631.09253.26742.15953.22042.56744.25724.2211
H82.17163.26321.09133.35242.27322.56574.25722.7987
H93.26573.19452.22942.16461.09324.22984.22112.7987

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 111.507 N1 C2 H7 122.474
N1 C3 C5 104.949 N1 C3 H8 122.165
C2 N1 C3 107.503 C2 N1 H6 126.475
C2 N4 C5 105.263 C3 N1 H6 126.022
C3 C5 N4 110.778 C3 C5 H9 127.800
N4 C2 H7 126.019 N4 C5 H9 121.422
C5 C3 H8 132.886
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/aug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.113      
2 C 0.498      
3 C 0.773      
4 N -0.412      
5 C 0.440      
6 H -0.150      
7 H -0.236      
8 H -0.423      
9 H -0.378      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  1.128 3.509 0.000 3.686
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -27.232 -3.334 0.000
y -3.334 -26.219 0.000
z 0.000 0.000 -32.277
Traceless
 xyz
x 2.016 -3.334 0.000
y -3.334 3.536 0.000
z 0.000 0.000 -5.552
Polar
3z2-r2-11.104
x2-y2-1.013
xy-3.334
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.025 -0.026 0.000
y -0.026 8.630 0.000
z 0.000 0.000 5.179


<r2> (average value of r2) Å2
<r2> 81.245
(<r2>)1/2 9.014