return to home page Computational Chemistry Comparison and Benchmark DataBase Release 22 (May 2022) Standard Reference Database 101 National Institute of Standards and Technology
You are here: Calculated > Energy > Optimized > Energy

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

using model chemistry: PBEPBE/6-31G**

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/6-31G**
 hartrees
Energy at 0K-225.952169
Energy at 298.15K-225.958006
HF Energy-225.952169
Nuclear repulsion energy162.204556
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/6-31G**
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' 3580 3531 33.72      
2 A' 3224 3180 1.99      
3 A' 3196 3152 1.47      
4 A' 3190 3146 6.49      
5 A' 1521 1500 9.94      
6 A' 1474 1454 16.64      
7 A' 1410 1391 11.94      
8 A' 1346 1327 7.98      
9 A' 1246 1228 0.66      
10 A' 1156 1141 3.71      
11 A' 1121 1106 3.31      
12 A' 1076 1062 24.26      
13 A' 1055 1040 24.06      
14 A' 912 899 1.69      
15 A' 869 857 8.96      
16 A" 819 807 7.90      
17 A" 757 747 38.50      
18 A" 686 677 16.76      
19 A" 666 657 1.16      
20 A" 628 619 16.27      
21 A" 507 500 83.84      

Unscaled Zero Point Vibrational Energy (zpe) 15218.9 cm-1
Scaled (by 0.9863) Zero Point Vibrational Energy (zpe) 15010.4 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 PBEPBE/6-31G**
ABC
0.32283 0.30850 0.15775

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/6-31G**

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 1.110 0.000
C2 -1.095 0.282 0.000
C3 1.125 0.305 0.000
N4 -0.745 -0.996 0.000
C5 0.637 -0.987 0.000
H6 -0.007 2.126 0.000
H7 -2.114 0.667 0.000
H8 2.130 0.719 0.000
H9 1.207 -1.915 0.000

Atom - Atom Distances (Å)
  N1 C2 C3 N4 C5 H6 H7 H8 H9
N11.37281.38362.23422.19221.01602.16022.16603.2575
C21.37282.22041.32532.14752.14081.08923.25483.1827
C31.38362.22042.27851.38182.14463.25951.08682.2219
N42.23421.32532.27851.38213.20822.15373.34802.1581
C52.19222.14751.38181.38213.17963.21012.26751.0891
H61.01602.14082.14463.20823.17962.56292.55954.2201
H72.16021.08923.25952.15373.21012.56294.24484.2070
H82.16603.25481.08683.34802.26752.55954.24482.7910
H93.25753.18272.22192.15811.08914.22014.20702.7910

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 111.786 N1 C2 H7 122.242
N1 C3 C5 104.887 N1 C3 H8 122.049
C2 N1 C3 107.324 C2 N1 H6 126.671
C2 N4 C5 104.952 C3 N1 H6 126.005
C3 C5 N4 111.051 C3 C5 H9 127.721
N4 C2 H7 125.973 N4 C5 H9 121.228
C5 C3 H8 133.064
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/6-31G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.468      
2 C 0.232      
3 C 0.048      
4 N -0.418      
5 C -0.002      
6 H 0.267      
7 H 0.122      
8 H 0.117      
9 H 0.102      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  1.085 3.497 0.000 3.662
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -26.217 -3.022 0.000
y -3.022 -25.014 0.000
z 0.000 0.000 -31.112
Traceless
 xyz
x 1.846 -3.022 0.000
y -3.022 3.650 0.000
z 0.000 0.000 -5.496
Polar
3z2-r2-10.992
x2-y2-1.203
xy-3.022
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.365 -0.202 0.000
y -0.202 7.065 0.000
z 0.000 0.000 2.675


<r2> (average value of r2) Å2
<r2> 80.331
(<r2>)1/2 8.963