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

using model chemistry: PBEPBE/TZVP

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/TZVP
 hartrees
Energy at 0K-225.919738
Energy at 298.15K-225.925663
HF Energy-225.919738
Nuclear repulsion energy166.329829
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/TZVP
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 3145 3109 16.53      
2 A1 2983 2949 0.40      
3 A1 1650 1632 19.65      
4 A1 1363 1348 0.04      
5 A1 1324 1309 37.09      
6 A1 1226 1213 7.23      
7 A1 1011 999 2.35      
8 A1 897 887 11.63      
9 A2 1098 1086 0.00      
10 A2 875 866 0.00      
11 A2 532 526 0.00      
12 B1 3014 2981 1.84      
13 B1 965 955 17.65      
14 B1 798 789 5.78      
15 B1 358 354 40.94      
16 B2 3131 3095 7.52      
17 B2 1715 1696 1.26      
18 B2 1331 1316 33.65      
19 B2 1196 1182 0.80      
20 B2 1053 1041 29.16      
21 B2 904 894 75.93      

Unscaled Zero Point Vibrational Energy (zpe) 15284.3 cm-1
Scaled (by 0.9888) Zero Point Vibrational Energy (zpe) 15113.1 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/TZVP
ABC
0.36179 0.30204 0.16998

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/TZVP

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 0.284
N3 0.000 -0.997 0.284
C4 0.000 0.728 -0.950
C5 0.000 -0.728 -0.950
H6 -0.896 0.000 1.846
H7 0.896 0.000 1.846
H8 0.000 1.484 -1.736
H9 0.000 -1.484 -1.736

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.35541.35542.27202.27201.10301.10303.29123.2912
N21.35541.99341.26262.12052.05822.05822.07713.1985
N31.35541.99342.12051.26262.05822.05823.19852.0771
C42.27201.26262.12051.45603.02483.02481.09022.3472
C52.27202.12051.26261.45603.02483.02482.34721.0902
H61.10302.05822.05823.02483.02481.79153.97883.9788
H71.10302.05822.05823.02483.02481.79153.97883.9788
H83.29122.07713.19851.09022.34723.97883.97882.9679
H93.29123.19852.07712.34721.09023.97883.97882.9679

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 120.377 C1 N3 C5 120.377
N2 C1 N3 94.671 N2 C1 H6 113.296
N2 C1 H7 113.296 N2 C4 C5 102.288
N2 C4 H8 123.809 N3 C1 H6 113.296
N3 C1 H7 113.296 N3 C5 C4 102.288
N3 C5 H9 123.809 C4 C5 H9 133.903
C5 C4 H8 133.903 H6 C1 H7 108.598
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/TZVP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.328      
2 N -0.024      
3 N -0.024      
4 C -0.116      
5 C -0.116      
6 H 0.190      
7 H 0.190      
8 H 0.113      
9 H 0.113      


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 -0.553 0.553
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.489 0.000 0.000
y 0.000 -35.936 0.000
z 0.000 0.000 -22.022
Traceless
 xyz
x 0.490 0.000 0.000
y 0.000 -10.681 0.000
z 0.000 0.000 10.190
Polar
3z2-r220.381
x2-y27.447
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.411 0.000 0.000
y 0.000 6.368 0.000
z 0.000 0.000 8.748


<r2> (average value of r2) Å2
<r2> 77.740
(<r2>)1/2 8.817