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All results from a given calculation for C3H4N2 (2H-Imidazole)

using model chemistry: PBEPBE/aug-cc-pVTZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at PBEPBE/aug-cc-pVTZ
 hartrees
Energy at 0K-225.930628
Energy at 298.15K-225.936564
HF Energy-225.930628
Nuclear repulsion energy166.349481
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 PBEPBE/aug-cc-pVTZ
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 A1 3136 3115 17.60      
2 A1 2976 2957 0.73      
3 A1 1641 1630 20.20      
4 A1 1361 1352 0.01      
5 A1 1320 1312 36.79      
6 A1 1225 1217 5.84      
7 A1 1008 1002 1.11      
8 A1 898 892 10.28      
9 A2 1095 1088 0.00      
10 A2 889 883 0.00      
11 A2 531 527 0.00      
12 B1 3007 2987 2.68      
13 B1 957 951 20.29      
14 B1 797 792 5.37      
15 B1 365 363 37.00      
16 B2 3122 3102 5.71      
17 B2 1707 1695 1.29      
18 B2 1329 1320 36.08      
19 B2 1188 1180 1.54      
20 B2 1048 1041 28.58      
21 B2 904 898 73.14      

Unscaled Zero Point Vibrational Energy (zpe) 15251.0 cm-1
Scaled (by 0.9935) Zero Point Vibrational Energy (zpe) 15151.9 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 PBEPBE/aug-cc-pVTZ
ABC
0.36201 0.30203 0.17002

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.202
N2 0.000 0.997 0.283
N3 0.000 -0.997 0.283
C4 0.000 0.727 -0.950
C5 0.000 -0.727 -0.950
H6 -0.895 0.000 1.845
H7 0.895 0.000 1.845
H8 0.000 1.483 -1.735
H9 0.000 -1.483 -1.735

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.35571.35572.27212.27211.10241.10243.29063.2906
N21.35571.99341.26272.12002.05782.05782.07633.1973
N31.35571.99342.12001.26272.05782.05783.19732.0763
C42.27211.26272.12001.45473.02423.02421.08942.3454
C52.27212.12001.26271.45473.02423.02422.34541.0894
H61.10242.05782.05783.02423.02421.79093.97753.9775
H71.10242.05782.05783.02423.02421.79093.97753.9775
H83.29062.07633.19731.08942.34543.97753.97752.9655
H93.29063.19732.07632.34541.08943.97753.97752.9655

picture of 2H-Imidazole state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 N2 C4 120.358 C1 N3 C5 120.358
N2 C1 N3 94.652 N2 C1 H6 113.287
N2 C1 H7 113.287 N2 C4 C5 102.316
N2 C4 H8 123.784 N3 C1 H6 113.287
N3 C1 H7 113.287 N3 C5 C4 102.316
N3 C5 H9 123.784 C4 C5 H9 133.899
C5 C4 H8 133.899 H6 C1 H7 108.641
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/aug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.141      
2 N -0.403      
3 N -0.403      
4 C -0.290      
5 C -0.290      
6 H 0.284      
7 H 0.284      
8 H 0.479      
9 H 0.479      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.000 0.000 -0.684 0.684
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.731 0.000 0.000
y 0.000 -36.263 0.000
z 0.000 0.000 -22.054
Traceless
 xyz
x 0.428 0.000 0.000
y 0.000 -10.871 0.000
z 0.000 0.000 10.443
Polar
3z2-r220.886
x2-y27.532
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.160 0.000 0.000
y 0.000 7.979 0.000
z 0.000 0.000 9.134


<r2> (average value of r2) Å2
<r2> 77.846
(<r2>)1/2 8.823