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

using model chemistry: B3PW91/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 B3PW91/cc-pVDZ
 hartrees
Energy at 0K-226.150269
Energy at 298.15K-226.156250
HF Energy-226.150269
Nuclear repulsion energy163.121338
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 B3PW91/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' 3663 3535 58.52      
2 A' 3292 3177 0.96      
3 A' 3260 3146 0.80      
4 A' 3255 3141 5.23      
5 A' 1567 1512 11.26      
6 A' 1519 1465 16.80      
7 A' 1459 1408 9.38      
8 A' 1384 1336 6.64      
9 A' 1269 1225 0.92      
10 A' 1193 1151 3.86      
11 A' 1144 1104 2.83      
12 A' 1097 1058 28.03      
13 A' 1077 1040 27.97      
14 A' 939 906 2.14      
15 A' 900 869 8.44      
16 A" 867 836 3.71      
17 A" 811 783 33.02      
18 A" 729 703 29.88      
19 A" 684 660 2.38      
20 A" 649 627 12.75      
21 A" 531 512 83.08      

Unscaled Zero Point Vibrational Energy (zpe) 15644.9 cm-1
Scaled (by 0.965) Zero Point Vibrational Energy (zpe) 15097.4 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 B3PW91/cc-pVDZ
ABC
0.32621 0.31241 0.15958

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/cc-pVDZ

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 1.104 0.000
C2 -1.087 0.282 0.000
C3 1.118 0.303 0.000
N4 -0.741 -0.988 0.000
C5 0.633 -0.983 0.000
H6 -0.011 2.115 0.000
H7 -2.106 0.665 0.000
H8 2.124 0.712 0.000
H9 1.203 -1.910 0.000

Atom - Atom Distances (Å)
  N1 C2 C3 N4 C5 H6 H7 H8 H9
N11.36331.37542.21902.18101.01112.15142.16003.2452
C21.36332.20591.31552.13522.12591.08843.24033.1700
C31.37542.20592.26381.37512.13493.24471.08592.2151
N42.21901.31552.26381.37413.18722.14313.33182.1519
C52.18102.13521.37511.37413.16443.19652.25821.0882
H61.01112.12592.13493.18723.16442.54792.55474.2042
H72.15141.08843.24472.14313.19652.54794.23054.1927
H82.16003.24031.08593.33182.25822.55474.23052.7798
H93.24523.17002.21512.15191.08824.20424.19272.7798

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 111.844 N1 C2 H7 122.291
N1 C3 C5 104.921 N1 C3 H8 122.262
C2 N1 C3 107.304 C2 N1 H6 126.467
C2 N4 C5 105.073 C3 N1 H6 126.229
C3 C5 N4 110.859 C3 C5 H9 127.734
N4 C2 H7 125.866 N4 C5 H9 121.407
C5 C3 H8 132.817
Electronic energy levels

Electronic state

Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.093      
2 C 0.134      
3 C 0.007      
4 N -0.236      
5 C 0.009      
6 H 0.106      
7 H 0.036      
8 H 0.025      
9 H 0.012      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  1.019 3.539 0.000 3.682
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -26.317 -2.994 0.000
y -2.994 -25.001 0.000
z 0.000 0.000 -31.214
Traceless
 xyz
x 1.790 -2.994 0.000
y -2.994 3.765 0.000
z 0.000 0.000 -5.555
Polar
3z2-r2-11.110
x2-y2-1.316
xy-2.994
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.352 -0.239 0.000
y -0.239 6.932 0.000
z 0.000 0.000 2.967


<r2> (average value of r2) Å2
<r2> 79.682
(<r2>)1/2 8.926