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/aug-cc-pVTZ

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/aug-cc-pVTZ
 hartrees
Energy at 0K-226.031336
Energy at 298.15K-226.037233
HF Energy-226.031336
Nuclear repulsion energy162.680356
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/aug-cc-pVTZ
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' 3559 3536 37.75      
2 A' 3201 3180 1.42      
3 A' 3175 3154 0.58      
4 A' 3171 3150 4.16      
5 A' 1503 1494 8.37      
6 A' 1454 1445 17.58      
7 A' 1386 1377 11.50      
8 A' 1327 1318 5.54      
9 A' 1237 1229 0.34      
10 A' 1144 1137 3.72      
11 A' 1111 1103 3.60      
12 A' 1066 1059 22.25      
13 A' 1046 1039 28.11      
14 A' 914 908 1.45      
15 A' 872 866 8.24      
16 A" 839 833 5.62      
17 A" 776 771 42.63      
18 A" 706 701 33.27      
19 A" 665 660 2.13      
20 A" 630 626 12.03      
21 A" 532 528 80.64      

Unscaled Zero Point Vibrational Energy (zpe) 15155.6 cm-1
Scaled (by 0.9935) Zero Point Vibrational Energy (zpe) 15057.1 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/aug-cc-pVTZ
ABC
0.32354 0.31144 0.15869

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

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 0.000 1.106 0.000
C2 -1.094 0.284 0.000
C3 1.121 0.302 0.000
N4 -0.742 -0.989 0.000
C5 0.637 -0.987 0.000
H6 -0.007 2.120 0.000
H7 -2.111 0.666 0.000
H8 2.125 0.712 0.000
H9 1.204 -1.912 0.000

Atom - Atom Distances (Å)
  N1 C2 C3 N4 C5 H6 H7 H8 H9
N11.36891.38002.22292.18801.01322.15602.16093.2499
C21.36892.21551.32062.14742.13361.08593.24703.1789
C31.38002.21552.26691.37682.13923.25231.08372.2156
N42.22291.32062.26691.37913.19432.14763.33312.1544
C52.18802.14741.37681.37913.17243.20642.25781.0854
H61.01322.13362.13923.19433.17242.55702.55444.2097
H72.15601.08593.25232.14763.20642.55704.23534.1996
H82.16093.24701.08373.33312.25782.55444.23532.7804
H93.24993.17892.21562.15441.08544.20974.19962.7804

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 111.476 N1 C2 H7 122.447
N1 C3 C5 105.063 N1 C3 H8 122.127
C2 N1 C3 107.405 C2 N1 H6 126.554
C2 N4 C5 105.373 C3 N1 H6 126.041
C3 C5 N4 110.684 C3 C5 H9 127.880
N4 C2 H7 126.077 N4 C5 H9 121.436
C5 C3 H8 132.810
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/aug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N 0.060      
2 C -0.417      
3 C -0.443      
4 N -0.443      
5 C -0.193      
6 H 0.056      
7 H 0.482      
8 H 0.435      
9 H 0.463      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  1.121 3.493 0.000 3.668
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -27.204 -3.295 0.000
y -3.295 -26.173 0.000
z 0.000 0.000 -32.114
Traceless
 xyz
x 1.939 -3.295 0.000
y -3.295 3.486 0.000
z 0.000 0.000 -5.425
Polar
3z2-r2-10.851
x2-y2-1.032
xy-3.295
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.971 -0.036 0.000
y -0.036 8.598 0.001
z 0.000 0.001 5.157


<r2> (average value of r2) Å2
<r2> 80.621
(<r2>)1/2 8.979