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All results from a given calculation for C3H4N2 (1H-Imidazole)

using model chemistry: PBEPBE/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 PBEPBE/cc-pVDZ
 hartrees
Energy at 0K-225.963085
Energy at 298.15K-225.968941
HF Energy-225.963085
Nuclear repulsion energy161.959196
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/cc-pVDZ
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 A' 3548 3528 35.36      
2 A' 3212 3193 1.57      
3 A' 3182 3164 1.04      
4 A' 3176 3157 5.21      
5 A' 1507 1498 7.96      
6 A' 1464 1455 15.16      
7 A' 1407 1399 7.79      
8 A' 1335 1328 6.23      
9 A' 1223 1216 0.96      
10 A' 1159 1153 3.43      
11 A' 1105 1099 3.05      
12 A' 1062 1056 27.39      
13 A' 1043 1037 21.54      
14 A' 908 903 2.06      
15 A' 868 863 9.61      
16 A" 823 818 5.82      
17 A" 761 757 38.21      
18 A" 692 688 20.50      
19 A" 665 661 0.79      
20 A" 630 627 13.49      
21 A" 511 508 71.45      

Unscaled Zero Point Vibrational Energy (zpe) 15141.5 cm-1
Scaled (by 0.9942) Zero Point Vibrational Energy (zpe) 15053.6 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/cc-pVDZ
ABC
0.32220 0.30743 0.15732

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

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 1.111 0.000
C2 -1.096 0.283 0.000
C3 1.126 0.307 0.000
N4 -0.746 -0.998 0.000
C5 0.637 -0.989 0.000
H6 -0.009 2.131 0.000
H7 -2.121 0.670 0.000
H8 2.137 0.724 0.000
H9 1.211 -1.922 0.000

Atom - Atom Distances (Å)
  N1 C2 C3 N4 C5 H6 H7 H8 H9
N11.37341.38352.23682.19441.01972.16602.17123.2660
C21.37342.22161.32742.14892.14391.09573.26213.1910
C31.38352.22162.28171.38532.14783.26681.09342.2307
N42.23681.32742.28171.38253.21422.16123.35762.1644
C52.19442.14891.38531.38253.18583.21782.27711.0958
H61.01972.14392.14783.21423.18582.56812.56504.2324
H72.16601.09573.26682.16123.21782.56814.25754.2213
H82.17123.26211.09343.35762.27712.56504.25752.8035
H93.26603.19102.23072.16441.09584.23244.22132.8035

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 111.816 N1 C2 H7 122.224
N1 C3 C5 104.848 N1 C3 H8 122.030
C2 N1 C3 107.380 C2 N1 H6 126.612
C2 N4 C5 104.912 C3 N1 H6 126.009
C3 C5 N4 111.045 C3 C5 H9 127.689
N4 C2 H7 125.959 N4 C5 H9 121.266
C5 C3 H8 133.122
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.048      
2 C 0.117      
3 C 0.016      
4 N -0.199      
5 C 0.014      
6 H 0.090      
7 H 0.017      
8 H 0.003      
9 H -0.009      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.976 3.459 0.000 3.594
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -26.651 -2.842 0.000
y -2.842 -25.166 0.000
z 0.000 0.000 -31.274
Traceless
 xyz
x 1.569 -2.842 0.000
y -2.842 3.797 0.000
z 0.000 0.000 -5.366
Polar
3z2-r2-10.731
x2-y2-1.485
xy-2.842
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.657 -0.247 0.000
y -0.247 7.216 0.000
z 0.000 0.000 2.995


<r2> (average value of r2) Å2
<r2> 80.693
(<r2>)1/2 8.983