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All results from a given calculation for C3H4N2 (4H-Imidazole)

using model chemistry: mPW1PW91/6-31G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at mPW1PW91/6-31G
 hartrees
Energy at 0K-226.047330
Energy at 298.15K-226.053295
HF Energy-226.047330
Nuclear repulsion energy159.456736
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 mPW1PW91/6-31G
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' 3334 3156 6.83      
2 A' 3296 3120 3.80      
3 A' 3104 2938 0.21      
4 A' 1634 1547 32.14      
5 A' 1547 1464 8.24      
6 A' 1450 1373 31.34      
7 A' 1330 1259 22.72      
8 A' 1315 1244 3.03      
9 A' 1282 1213 13.54      
10 A' 1023 968 56.08      
11 A' 987 935 2.31      
12 A' 961 909 4.78      
13 A' 886 839 12.27      
14 A' 880 833 8.92      
15 A" 3152 2984 0.10      
16 A" 1176 1114 0.11      
17 A" 1027 972 18.40      
18 A" 978 926 0.02      
19 A" 783 741 12.70      
20 A" 586 554 24.41      
21 A" 390 369 12.61      

Unscaled Zero Point Vibrational Energy (zpe) 15560.0 cm-1
Scaled (by 0.9466) Zero Point Vibrational Energy (zpe) 14729.1 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 mPW1PW91/6-31G
ABC
0.31266 0.29111 0.15510

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/6-31G

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 -1.203 0.359 0.000
C2 0.000 1.158 0.000
N3 1.120 0.509 0.000
C4 0.733 -0.917 0.000
C5 -0.768 -0.867 0.000
H6 -0.075 2.232 0.000
H7 1.148 -1.416 0.882
H8 1.148 -1.416 -0.882
H9 -1.435 -1.717 0.000

Atom - Atom Distances (Å)
  N1 C2 N3 C4 C5 H6 H7 H8 H9
N11.44452.32852.31871.30112.18723.07503.07502.0882
C21.44451.29452.20012.16591.07712.95292.95293.2127
N32.32851.29451.47752.33682.09702.11782.11783.3889
C42.31872.20011.47751.50183.25091.09501.09502.3111
C51.30112.16592.33681.50183.17622.17932.17931.0800
H62.18721.07712.09703.25093.17623.94753.94754.1765
H73.07502.95292.11781.09502.17933.94751.76372.7459
H83.07502.95292.11781.09502.17933.94751.76372.7459
H92.08823.21273.38892.31111.08004.17652.74592.7459

picture of 4H-Imidazole state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
N1 C2 N3 116.347 N1 C2 H6 119.601
N1 C5 C4 111.431 N1 C5 H9 122.294
C2 N1 C5 104.036 C2 N3 C4 104.873
N3 C2 H6 124.053 N3 C4 C5 103.313
N3 C4 H7 109.926 N3 C4 H8 109.926
C4 C5 H9 126.275 C5 C4 H7 113.177
C5 C4 H8 113.177 H7 C4 H8 107.282
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/6-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.354      
2 C 0.097      
3 N -0.335      
4 C -0.317      
5 C 0.013      
6 H 0.213      
7 H 0.239      
8 H 0.239      
9 H 0.206      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.166 -2.342 0.000 2.348
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -36.007 -0.775 0.000
y -0.775 -23.399 0.000
z 0.000 0.000 -28.822
Traceless
 xyz
x -9.897 -0.775 0.000
y -0.775 9.016 0.000
z 0.000 0.000 0.881
Polar
3z2-r21.762
x2-y2-12.609
xy-0.775
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.024 -0.406 0.000
y -0.406 7.187 0.000
z 0.000 0.000 3.277


<r2> (average value of r2) Å2
<r2> 82.562
(<r2>)1/2 9.086