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

using model chemistry: LSDA/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 LSDA/aug-cc-pVDZ
 hartrees
Energy at 0K-225.005853
Energy at 298.15K-225.011809
HF Energy-225.005853
Nuclear repulsion energy163.312883
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 LSDA/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' 3554 3514 53.44      
2 A' 3217 3181 0.03      
3 A' 3189 3153 1.52      
4 A' 3183 3147 2.09      
5 A' 1523 1506 10.73      
6 A' 1480 1464 17.75      
7 A' 1431 1415 7.24      
8 A' 1370 1355 7.48      
9 A' 1228 1214 1.89      
10 A' 1197 1183 1.90      
11 A' 1108 1096 3.67      
12 A' 1073 1061 35.74      
13 A' 1048 1037 18.87      
14 A' 919 909 1.94      
15 A' 876 866 8.45      
16 A" 841 831 4.62      
17 A" 780 771 34.24      
18 A" 710 702 37.88      
19 A" 674 666 3.08      
20 A" 641 633 15.85      
21 A" 578 571 88.52      

Unscaled Zero Point Vibrational Energy (zpe) 15309.3 cm-1
Scaled (by 0.9887) Zero Point Vibrational Energy (zpe) 15136.3 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 LSDA/aug-cc-pVDZ
ABC
0.32639 0.31415 0.16008

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

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 1.098 0.000
C2 -1.089 0.284 0.000
C3 1.114 0.304 0.000
N4 -0.735 -0.984 0.000
C5 0.631 -0.985 0.000
H6 -0.008 2.118 0.000
H7 -2.114 0.667 0.000
H8 2.127 0.715 0.000
H9 1.205 -1.917 0.000

Atom - Atom Distances (Å)
  N1 C2 C3 N4 C5 H6 H7 H8 H9
N11.36021.36872.20802.17721.01952.15792.16113.2478
C21.36022.20371.31602.13762.12891.09463.24493.1797
C31.36872.20372.25331.37682.13353.24921.09282.2230
N42.20801.31602.25331.36583.18562.15143.32802.1533
C52.17722.13761.37681.36583.16843.20432.26481.0949
H61.01952.12892.13353.18563.16842.55732.55474.2139
H72.15791.09463.24922.15143.20432.55734.24154.2074
H82.16113.24491.09283.32802.26482.55474.24152.7891
H93.24783.17972.22302.15331.09494.21394.20742.7891

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 111.176 N1 C2 H7 122.696
N1 C3 C5 104.932 N1 C3 H8 122.391
C2 N1 C3 107.713 C2 N1 H6 126.323
C2 N4 C5 105.686 C3 N1 H6 125.964
C3 C5 N4 110.493 C3 C5 H9 127.786
N4 C2 H7 126.128 N4 C5 H9 121.721
C5 C3 H8 132.676
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at LSDA/aug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N 0.055      
2 C 0.289      
3 C 0.660      
4 N -0.180      
5 C 0.265      
6 H -0.113      
7 H -0.252      
8 H -0.382      
9 H -0.342      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  1.162 3.582 0.000 3.766
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -27.114 -3.366 0.000
y -3.366 -26.059 0.000
z 0.000 0.000 -32.261
Traceless
 xyz
x 2.046 -3.366 0.000
y -3.366 3.629 0.000
z 0.000 0.000 -5.675
Polar
3z2-r2-11.350
x2-y2-1.055
xy-3.366
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.896 -0.033 -0.000
y -0.033 8.522 0.000
z -0.000 0.000 5.099


<r2> (average value of r2) Å2
<r2> 80.173
(<r2>)1/2 8.954