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

using model chemistry: PBEPBEultrafine/aug-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 PBEPBEultrafine/aug-cc-pVDZ
 hartrees
Energy at 0K-225.877935
Energy at 298.15K-225.883845
HF Energy-225.877935
Nuclear repulsion energy165.712990
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/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 A1 3151 3132 17.12      
2 A1 2987 2969 0.68      
3 A1 1649 1639 18.09      
4 A1 1366 1357 0.05      
5 A1 1310 1302 38.29      
6 A1 1233 1225 5.70      
7 A1 1010 1004 0.49      
8 A1 895 890 11.14      
9 A2 1085 1078 0.00      
10 A2 871 865 0.00      
11 A2 525 522 0.00      
12 B1 3027 3008 2.45      
13 B1 951 945 20.71      
14 B1 790 785 5.71      
15 B1 357 355 37.36      
16 B2 3136 3117 5.70      
17 B2 1713 1703 1.32      
18 B2 1333 1325 38.74      
19 B2 1177 1170 1.51      
20 B2 1047 1040 26.49      
21 B2 896 891 73.44      

Unscaled Zero Point Vibrational Energy (zpe) 15253.8 cm-1
Scaled (by 0.9939) Zero Point Vibrational Energy (zpe) 15160.8 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 PBEPBEultrafine/aug-cc-pVDZ
ABC
0.36061 0.29884 0.16878

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.208
N2 0.000 0.997 0.286
N3 0.000 -0.997 0.286
C4 0.000 0.730 -0.956
C5 0.000 -0.730 -0.956
H6 -0.902 0.000 1.853
H7 0.902 0.000 1.853
H8 0.000 1.493 -1.743
H9 0.000 -1.493 -1.743

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.35841.35842.28372.28371.10851.10853.30763.3076
N21.35841.99401.26992.12662.06492.06492.08853.2120
N31.35841.99402.12661.26992.06492.06493.21202.0885
C42.28371.26992.12661.45933.03903.03901.09682.3582
C52.28372.12661.26991.45933.03903.03902.35821.0968
H61.10852.06492.06493.03903.03901.80313.99703.9970
H71.10852.06492.06493.03903.03901.80313.99703.9970
H83.30762.08853.21201.09682.35823.99703.99702.9865
H93.30763.21202.08852.35821.09683.99703.99702.9865

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 120.625 C1 N3 C5 120.625
N2 C1 N3 94.441 N2 C1 H6 113.277
N2 C1 H7 113.277 N2 C4 C5 102.154
N2 C4 H8 123.721 N3 C1 H6 113.277
N3 C1 H7 113.277 N3 C5 C4 102.154
N3 C5 H9 123.721 C4 C5 H9 134.125
C5 C4 H8 134.125 H6 C1 H7 108.839
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/aug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.962      
2 N -0.309      
3 N -0.309      
4 C 0.448      
5 C 0.448      
6 H -0.300      
7 H -0.300      
8 H -0.319      
9 H -0.319      


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 -0.685 0.685
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.808 0.000 0.000
y 0.000 -36.438 0.000
z 0.000 0.000 -22.040
Traceless
 xyz
x 0.431 0.000 0.000
y 0.000 -11.014 0.000
z 0.000 0.000 10.583
Polar
3z2-r221.165
x2-y27.630
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.169 0.000 0.000
y 0.000 8.044 0.000
z 0.000 0.000 9.221


<r2> (average value of r2) Å2
<r2> 78.370
(<r2>)1/2 8.853