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

using model chemistry: HSEh1PBE/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 HSEh1PBE/6-311G*
 hartrees
Energy at 0K-226.022620
Energy at 298.15K-226.028614
HF Energy-226.022620
Nuclear repulsion energy163.842050
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 HSEh1PBE/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' 3703 3553 44.52      
2 A' 3296 3163 3.19      
3 A' 3268 3136 2.14      
4 A' 3262 3131 8.68      
5 A' 1587 1523 14.92      
6 A' 1531 1469 18.50      
7 A' 1471 1411 13.31      
8 A' 1395 1339 7.14      
9 A' 1290 1238 0.54      
10 A' 1195 1146 4.02      
11 A' 1162 1115 2.38      
12 A' 1113 1068 29.06      
13 A' 1089 1045 32.87      
14 A' 953 914 2.40      
15 A' 912 875 8.29      
16 A" 865 830 5.95      
17 A" 814 781 38.97      
18 A" 724 695 39.55      
19 A" 691 663 4.90      
20 A" 655 629 14.55      
21 A" 540 518 103.31      

Unscaled Zero Point Vibrational Energy (zpe) 15757.2 cm-1
Scaled (by 0.9596) Zero Point Vibrational Energy (zpe) 15120.6 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 HSEh1PBE/6-311G*
ABC
0.32857 0.31555 0.16096

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/6-311G*

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 1.100 0.000
C2 -1.084 0.280 0.000
C3 1.114 0.299 0.000
N4 -0.739 -0.981 0.000
C5 0.631 -0.980 0.000
H6 -0.008 2.105 0.000
H7 -2.096 0.659 0.000
H8 2.114 0.705 0.000
H9 1.192 -1.903 0.000

Atom - Atom Distances (Å)
  N1 C2 C3 N4 C5 H6 H7 H8 H9
N11.35881.37212.20822.17321.00502.14182.15043.2307
C21.35882.19831.30782.12792.11821.08083.22573.1539
C31.37212.19832.25241.36742.12593.23041.07852.2035
N42.20821.30782.25241.36953.17132.12913.31332.1398
C52.17322.12791.36741.36953.15013.18152.24411.0804
H61.00502.11822.12593.17133.15012.53972.54224.1835
H72.14181.08083.23042.12913.18152.53974.21004.1686
H82.15043.22571.07853.31332.24412.54224.21002.7653
H93.23073.15392.20352.13981.08044.18354.16862.7653

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 111.792 N1 C2 H7 122.382
N1 C3 C5 104.988 N1 C3 H8 122.239
C2 N1 C3 107.212 C2 N1 H6 126.643
C2 N4 C5 105.246 C3 N1 H6 126.145
C3 C5 N4 110.762 C3 C5 H9 127.976
N4 C2 H7 125.826 N4 C5 H9 121.261
C5 C3 H8 132.773
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/6-311G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.512      
2 C 0.074      
3 C -0.084      
4 N -0.310      
5 C -0.190      
6 H 0.359      
7 H 0.226      
8 H 0.226      
9 H 0.210      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  1.106 3.645 0.000 3.809
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -26.257 -3.220 0.000
y -3.220 -25.097 0.000
z 0.000 0.000 -31.796
Traceless
 xyz
x 2.189 -3.220 0.000
y -3.220 3.930 0.000
z 0.000 0.000 -6.119
Polar
3z2-r2-12.239
x2-y2-1.160
xy-3.220
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.275 -0.161 0.000
y -0.161 6.956 0.000
z 0.000 0.000 3.298


<r2> (average value of r2) Å2
<r2> 79.258
(<r2>)1/2 8.903