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

using model chemistry: TPSSh/cc-pVDZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at TPSSh/cc-pVDZ
 hartrees
Energy at 0K-226.149774
Energy at 298.15K-226.155762
HF Energy-226.149774
Nuclear repulsion energy166.295812
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 TPSSh/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 A1 3215 3126 17.70      
2 A1 3060 2975 0.03      
3 A1 1708 1661 17.08      
4 A1 1408 1369 0.26      
5 A1 1372 1334 24.78      
6 A1 1262 1227 6.00      
7 A1 1033 1005 1.42      
8 A1 918 893 14.61      
9 A2 1130 1099 0.00      
10 A2 915 890 0.00      
11 A2 539 524 0.00      
12 B1 3103 3017 0.04      
13 B1 994 967 19.67      
14 B1 817 795 4.00      
15 B1 361 351 35.30      
16 B2 3198 3109 11.31      
17 B2 1772 1723 0.62      
18 B2 1384 1346 40.86      
19 B2 1225 1191 1.04      
20 B2 1081 1051 26.41      
21 B2 919 894 79.17      

Unscaled Zero Point Vibrational Energy (zpe) 15707.4 cm-1
Scaled (by 0.9724) Zero Point Vibrational Energy (zpe) 15273.8 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 TPSSh/cc-pVDZ
ABC
0.36138 0.30204 0.16992

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.204
N2 0.000 0.997 0.283
N3 0.000 -0.997 0.283
C4 0.000 0.728 -0.950
C5 0.000 -0.728 -0.950
H6 -0.898 0.000 1.842
H7 0.898 0.000 1.842
H8 0.000 1.488 -1.733
H9 0.000 -1.488 -1.733

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.35761.35762.27382.27381.10161.10163.29273.2927
N21.35761.99381.26152.12022.05742.05742.07473.1998
N31.35761.99382.12021.26152.05742.05743.19982.0747
C42.27381.26152.12021.45643.02213.02211.09132.3506
C52.27382.12021.26151.45643.02213.02212.35061.0913
H61.10162.05742.05743.02213.02211.79573.97553.9755
H71.10162.05742.05743.02213.02211.79573.97553.9755
H83.29272.07473.19981.09132.35063.97553.97552.9761
H93.29273.19982.07472.35061.09133.97553.97552.9761

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 120.450 C1 N3 C5 120.450
N2 C1 N3 94.501 N2 C1 H6 113.159
N2 C1 H7 113.159 N2 C4 C5 102.299
N2 C4 H8 123.568 N3 C1 H6 113.159
N3 C1 H7 113.159 N3 C5 C4 102.299
N3 C5 H9 123.568 C4 C5 H9 134.133
C5 C4 H8 134.133 H6 C1 H7 109.185
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at TPSSh/cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.201      
2 N -0.234      
3 N -0.234      
4 C 0.030      
5 C 0.030      
6 H 0.082      
7 H 0.082      
8 H 0.021      
9 H 0.021      


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 -0.472 0.472
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.584 0.000 0.000
y 0.000 5.265 0.000
z 0.000 0.000 8.070


<r2> (average value of r2) Å2
<r2> 77.221
(<r2>)1/2 8.788