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

using model chemistry: B2PLYP=FULLultrafine/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 B2PLYP=FULLultrafine/cc-pVDZ
 hartrees
Energy at 0K-226.005070
Energy at 298.15K 
HF Energy-225.760644
Nuclear repulsion energy162.627587
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 B2PLYP=FULLultrafine/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' 3669 3516 60.10 118.83 0.28 0.43
2 A' 3307 3168 1.12 118.73 0.17 0.29
3 A' 3278 3141 0.75 96.79 0.29 0.45
4 A' 3274 3137 5.05 65.17 0.62 0.76
5 A' 1558 1492 9.13 1.87 0.15 0.26
6 A' 1514 1451 16.43 10.66 0.29 0.45
7 A' 1457 1396 11.89 5.88 0.51 0.68
8 A' 1374 1317 6.89 20.37 0.30 0.46
9 A' 1275 1222 0.59 6.73 0.21 0.35
10 A' 1179 1129 4.44 17.38 0.14 0.24
11 A' 1144 1096 2.73 15.08 0.50 0.67
12 A' 1095 1049 21.71 1.66 0.75 0.86
13 A' 1077 1032 30.28 4.09 0.75 0.86
14 A' 939 900 1.99 1.54 0.67 0.80
15 A' 902 865 8.12 0.75 0.75 0.86
16 A" 861 825 4.69 0.85 0.75 0.86
17 A" 809 775 33.33 0.08 0.75 0.86
18 A" 726 695 27.17 1.22 0.75 0.86
19 A" 684 655 2.11 0.33 0.75 0.86
20 A" 648 621 13.35 0.24 0.75 0.86
21 A" 513 492 82.24 2.25 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 15639.9 cm-1
Scaled (by 0.9582) Zero Point Vibrational Energy (zpe) 14986.2 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 B2PLYP=FULLultrafine/cc-pVDZ
ABC
0.32431 0.31026 0.15857

See section I.F.4 to change rotational constant units
Geometric Data calculated at B2PLYP=FULLultrafine/cc-pVDZ

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 1.108 0.000
C2 -1.091 0.283 0.000
C3 1.122 0.304 0.000
N4 -0.745 -0.992 0.000
C5 0.635 -0.986 0.000
H6 -0.012 2.119 0.000
H7 -2.108 0.666 0.000
H8 2.127 0.713 0.000
H9 1.205 -1.912 0.000

Atom - Atom Distances (Å)
  N1 C2 C3 N4 C5 H6 H7 H8 H9
N11.36791.38012.22792.18811.01122.15382.16323.2510
C21.36792.21321.32092.14242.13001.08713.24663.1760
C31.38012.21322.27271.37912.13963.25041.08502.2174
N42.22791.32092.27271.38003.19612.14703.33982.1558
C52.18812.14241.37911.38003.17163.20272.26121.0869
H61.01122.13002.13963.19613.17162.55042.55904.2101
H72.15381.08713.25042.14703.20272.55044.23534.1981
H82.16323.24661.08503.33982.26122.55904.23532.7822
H93.25103.17602.21742.15581.08694.21014.19812.7822

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 111.900 N1 C2 H7 122.223
N1 C3 C5 104.937 N1 C3 H8 122.240
C2 N1 C3 107.294 C2 N1 H6 126.441
C2 N4 C5 104.953 C3 N1 H6 126.264
C3 C5 N4 110.916 C3 C5 H9 127.712
N4 C2 H7 125.877 N4 C5 H9 121.372
C5 C3 H8 132.823
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B2PLYP=FULLultrafine/cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.085      
2 C 0.135      
3 C 0.018      
4 N -0.223      
5 C 0.021      
6 H 0.102      
7 H 0.022      
8 H 0.012      
9 H -0.002      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  1.024 3.547 0.000 3.692
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -26.746 -2.997 -0.001
y -2.997 -25.404 0.001
z -0.001 0.001 -31.483
Traceless
 xyz
x 1.697 -2.997 -0.001
y -2.997 3.711 0.001
z -0.001 0.001 -5.408
Polar
3z2-r2-10.815
x2-y2-1.342
xy-2.997
xz-0.001
yz0.001


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.324 -0.248 0.000
y -0.248 6.930 0.000
z 0.000 0.000 2.929


<r2> (average value of r2) Å2
<r2> 80.275
(<r2>)1/2 8.960