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

using model chemistry: B3LYPultrafine/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 B3LYPultrafine/aug-cc-pVDZ
 hartrees
Energy at 0K-226.222473
Energy at 298.15K-226.228405
HF Energy-226.222473
Nuclear repulsion energy160.309346
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 B3LYPultrafine/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' 3214 3119 9.52      
2 A' 3192 3097 7.51      
3 A' 3038 2948 2.54      
4 A' 1643 1594 48.42      
5 A' 1545 1499 11.44      
6 A' 1385 1344 22.96      
7 A' 1314 1275 26.76      
8 A' 1297 1259 4.53      
9 A' 1247 1210 5.42      
10 A' 1035 1005 55.17      
11 A' 996 967 16.08      
12 A' 938 910 3.74      
13 A' 882 856 1.65      
14 A' 877 851 13.18      
15 A" 3072 2981 0.79      
16 A" 1147 1113 0.44      
17 A" 998 969 15.26      
18 A" 962 934 1.14      
19 A" 749 727 6.20      
20 A" 569 552 21.60      
21 A" 376 365 5.88      

Unscaled Zero Point Vibrational Energy (zpe) 15237.5 cm-1
Scaled (by 0.9704) Zero Point Vibrational Energy (zpe) 14786.5 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 B3LYPultrafine/aug-cc-pVDZ
ABC
0.31851 0.29254 0.15696

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYPultrafine/aug-cc-pVDZ

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 -1.198 0.360 0.000
C2 0.000 1.140 0.000
N3 1.118 0.504 0.000
C4 0.732 -0.903 0.000
C5 -0.768 -0.858 0.000
H6 -0.072 2.227 0.000
H7 1.145 -1.417 0.884
H8 1.145 -1.417 -0.884
H9 -1.444 -1.715 0.000

Atom - Atom Distances (Å)
  N1 C2 N3 C4 C5 H6 H7 H8 H9
N11.42992.32112.30731.29172.18063.07063.07062.0893
C21.42991.28682.17102.14071.08932.93802.93803.1993
N32.32111.28681.45942.32652.09442.11472.11473.3890
C42.30732.17101.45941.50093.23231.10231.10232.3221
C51.29172.14072.32651.50093.16262.17992.17991.0912
H62.18061.08932.09443.23233.16263.94233.94234.1738
H73.07062.93802.11471.10232.17993.94231.76792.7510
H83.07062.93802.11471.10232.17993.94231.76792.7510
H92.08933.19933.38902.32211.09124.17382.75102.7510

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 117.287 N1 C2 H6 119.288
N1 C5 C4 111.199 N1 C5 H9 122.294
C2 N1 C5 103.613 C2 N3 C4 104.301
N3 C2 H6 123.425 N3 C4 C5 103.599
N3 C4 H7 110.509 N3 C4 H8 110.509
C4 C5 H9 126.507 C5 C4 H7 112.832
C5 C4 H8 112.832 H7 C4 H8 106.621
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYPultrafine/aug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.347      
2 C 0.557      
3 N -0.298      
4 C 1.072      
5 C 0.399      
6 H -0.301      
7 H -0.341      
8 H -0.341      
9 H -0.400      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.022 -2.119 0.000 2.119
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -35.985 -0.621 0.000
y -0.621 -24.283 0.000
z 0.000 0.000 -29.346
Traceless
 xyz
x -9.170 -0.621 0.000
y -0.621 8.382 0.000
z 0.000 0.000 0.788
Polar
3z2-r21.576
x2-y2-11.701
xy-0.621
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.778 -0.285 0.000
y -0.285 8.373 0.000
z 0.000 0.000 5.051


<r2> (average value of r2) Å2
<r2> 82.208
(<r2>)1/2 9.067