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: HSEh1PBE/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 HSEh1PBE/6-31G
 hartrees
Energy at 0K-225.898878
Energy at 298.15K-225.904993
HF Energy-225.898878
Nuclear repulsion energy162.370035
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 HSEh1PBE/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' 3727 3565 53.91      
2 A' 3358 3213 1.36      
3 A' 3342 3197 1.36      
4 A' 3332 3187 2.71      
5 A' 1581 1512 19.26      
6 A' 1516 1450 12.84      
7 A' 1455 1392 15.65      
8 A' 1385 1325 10.13      
9 A' 1301 1244 0.60      
10 A' 1185 1134 0.33      
11 A' 1166 1115 10.02      
12 A' 1129 1080 18.36      
13 A' 1089 1042 36.01      
14 A' 965 923 3.47      
15 A' 928 888 7.94      
16 A" 912 873 5.10      
17 A" 838 801 25.96      
18 A" 775 741 27.81      
19 A" 692 662 10.84      
20 A" 681 651 175.85      
21 A" 649 621 15.01      

Unscaled Zero Point Vibrational Energy (zpe) 16002.5 cm-1
Scaled (by 0.9566) Zero Point Vibrational Energy (zpe) 15308.0 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 HSEh1PBE/6-31G
ABC
0.32029 0.31168 0.15796

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/6-31G

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 1.108 0.000
C2 -1.102 0.289 0.000
C3 1.124 0.300 0.000
N4 -0.745 -0.988 0.000
C5 0.646 -0.989 0.000
H6 -0.004 2.113 0.000
H7 -2.112 0.660 0.000
H8 2.123 0.699 0.000
H9 1.201 -1.911 0.000

Atom - Atom Distances (Å)
  N1 C2 C3 N4 C5 H6 H7 H8 H9
N11.37331.38462.22452.19421.00502.15932.16223.2491
C21.37332.22581.32552.16452.12951.07633.25103.1843
C31.38462.22582.26931.37442.13573.25611.07612.2118
N42.22451.32552.26931.39043.18842.14103.32742.1534
C52.19422.16451.37441.39043.16933.21292.24331.0763
H61.00502.12952.13573.18843.16932.56082.55424.2005
H72.15931.07633.25612.14103.21292.56084.23554.1932
H82.16223.25101.07613.32742.24332.55424.23552.7682
H93.24913.18432.21182.15341.07634.20054.19322.7682

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 111.020 N1 C2 H7 123.192
N1 C3 C5 105.365 N1 C3 H8 122.468
C2 N1 C3 107.621 C2 N1 H6 126.419
C2 N4 C5 105.662 C3 N1 H6 125.959
C3 C5 N4 110.331 C3 C5 H9 128.573
N4 C2 H7 125.788 N4 C5 H9 121.096
C5 C3 H8 132.166
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/6-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.719      
2 C 0.230      
3 C 0.081      
4 N -0.422      
5 C -0.104      
6 H 0.354      
7 H 0.201      
8 H 0.199      
9 H 0.181      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  1.342 3.814 0.000 4.043
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -26.203 -3.633 0.000
y -3.633 -25.576 0.000
z 0.000 0.000 -31.640
Traceless
 xyz
x 2.405 -3.633 0.000
y -3.633 3.345 0.000
z 0.000 0.000 -5.750
Polar
3z2-r2-11.501
x2-y2-0.626
xy-3.633
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.910 -0.188 0.000
y -0.188 6.670 0.000
z 0.000 0.000 2.368


<r2> (average value of r2) Å2
<r2> 80.400
(<r2>)1/2 8.967