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

using model chemistry: PBEPBEultrafine/6-311+G(3df,2p)

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at PBEPBEultrafine/6-311+G(3df,2p)
 hartrees
Energy at 0K-225.925309
Energy at 298.15K-225.931239
HF Energy-225.925309
Nuclear repulsion energy166.372935
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 PBEPBEultrafine/6-311+G(3df,2p)
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 3136 17.38      
2 A1 2975 2975 0.65      
3 A1 1644 1644 19.72      
4 A1 1363 1363 0.01      
5 A1 1323 1323 36.63      
6 A1 1226 1226 5.94      
7 A1 1009 1009 1.12      
8 A1 899 899 10.26      
9 A2 1097 1097 0.00      
10 A2 886 886 0.00      
11 A2 530 530 0.00      
12 B1 3004 3004 2.66      
13 B1 958 958 19.94      
14 B1 796 796 5.55      
15 B1 364 364 37.29      
16 B2 3121 3121 5.65      
17 B2 1710 1710 1.35      
18 B2 1331 1331 35.86      
19 B2 1192 1192 1.55      
20 B2 1050 1050 29.45      
21 B2 905 905 73.17      

Unscaled Zero Point Vibrational Energy (zpe) 15259.4 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 15259.4 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 PBEPBEultrafine/6-311+G(3df,2p)
ABC
0.36214 0.30211 0.17007

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBEultrafine/6-311+G(3df,2p)

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 1.846
H7 0.895 0.000 1.846
H8 0.000 1.482 -1.736
H9 0.000 -1.482 -1.736

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.35541.35542.27152.27151.10241.10243.29043.2904
N21.35541.99341.26252.11962.05802.05802.07663.1969
N31.35541.99342.11961.26252.05802.05803.19692.0766
C42.27151.26252.11961.45423.02423.02421.08952.3446
C52.27152.11961.26251.45423.02423.02422.34461.0895
H61.10242.05802.05803.02423.02421.78993.97803.9780
H71.10242.05802.05803.02423.02421.78993.97803.9780
H83.29042.07663.19691.08952.34463.97803.97802.9638
H93.29043.19692.07662.34461.08953.97803.97802.9638

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 120.337 C1 N3 C5 120.337
N2 C1 N3 94.669 N2 C1 H6 113.314
N2 C1 H7 113.314 N2 C4 C5 102.329
N2 C4 H8 123.824 N3 C1 H6 113.314
N3 C1 H7 113.314 N3 C5 C4 102.329
N3 C5 H9 123.824 C4 C5 H9 133.847
C5 C4 H8 133.847 H6 C1 H7 108.539
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/6-311+G(3df,2p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.726      
2 N -0.978      
3 N -0.978      
4 C 0.319      
5 C 0.319      
6 H 0.138      
7 H 0.138      
8 H 0.158      
9 H 0.158      


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 -0.679 0.679
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.765 0.000 0.000
y 0.000 -36.253 0.000
z 0.000 0.000 -22.007
Traceless
 xyz
x 0.365 0.000 0.000
y 0.000 -10.867 0.000
z 0.000 0.000 10.503
Polar
3z2-r221.005
x2-y27.488
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.094 0.000 0.000
y 0.000 7.830 0.000
z 0.000 0.000 9.061


<r2> (average value of r2) Å2
<r2> 77.826
(<r2>)1/2 8.822