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All results from a given calculation for C3H4N2 (1H-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 CS 1A'
Energy calculated at TPSSh/cc-pVDZ
 hartrees
Energy at 0K-226.251850
Energy at 298.15K-226.257797
HF Energy-226.251850
Nuclear repulsion energy162.660107
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 A' 3618 3518 43.89      
2 A' 3278 3187 2.66      
3 A' 3251 3161 1.87      
4 A' 3244 3154 6.53      
5 A' 1556 1513 9.17      
6 A' 1508 1466 17.43      
7 A' 1445 1405 10.33      
8 A' 1367 1330 6.20      
9 A' 1268 1233 0.57      
10 A' 1173 1141 4.14      
11 A' 1141 1109 3.30      
12 A' 1091 1061 21.62      
13 A' 1074 1044 30.74      
14 A' 929 904 1.94      
15 A' 889 865 8.87      
16 A" 857 834 5.63      
17 A" 801 779 38.80      
18 A" 724 704 24.43      
19 A" 678 659 1.21      
20 A" 643 625 14.44      
21 A" 519 505 76.08      

Unscaled Zero Point Vibrational Energy (zpe) 15526.8 cm-1
Scaled (by 0.9724) Zero Point Vibrational Energy (zpe) 15098.2 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
0.32447 0.31045 0.15865

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

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 1.107 0.000
C2 -1.091 0.282 0.000
C3 1.122 0.303 0.000
N4 -0.744 -0.992 0.000
C5 0.635 -0.985 0.000
H6 -0.010 2.121 0.000
H7 -2.109 0.666 0.000
H8 2.126 0.716 0.000
H9 1.203 -1.913 0.000

Atom - Atom Distances (Å)
  N1 C2 C3 N4 C5 H6 H7 H8 H9
N11.36781.38062.22702.18651.01352.15422.16183.2508
C21.36782.21331.32012.14122.13291.08773.24633.1748
C31.38062.21332.27181.37712.14113.25121.08572.2174
N42.22701.32012.27181.37963.19792.14693.34032.1541
C52.18652.14121.37711.37963.17183.20222.26231.0878
H61.01352.13292.14113.19793.17182.55372.55604.2117
H72.15421.08773.25122.14693.20222.55374.23514.1972
H82.16183.24631.08573.34032.26232.55604.23512.7866
H93.25083.17482.21742.15411.08784.21174.19722.7866

picture of 1H-Imidazole state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
N1 C2 N4 111.882 N1 C2 H7 122.228
N1 C3 C5 104.905 N1 C3 H8 122.002
C2 N1 C3 107.278 C2 N1 H6 126.561
C2 N4 C5 104.938 C3 N1 H6 126.161
C3 C5 N4 110.996 C3 C5 H9 127.824
N4 C2 H7 125.890 N4 C5 H9 121.179
C5 C3 H8 133.092
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 N -0.097      
2 C 0.153      
3 C 0.019      
4 N -0.249      
5 C 0.024      
6 H 0.100      
7 H 0.029      
8 H 0.017      
9 H 0.004      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  1.012 3.506 0.000 3.649
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 7.450 -0.237 0.000
y -0.237 7.048 0.000
z 0.000 0.000 2.973


<r2> (average value of r2) Å2
<r2> 80.056
(<r2>)1/2 8.947