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 (2H-Imidazole)

using model chemistry: PBEPBE/cc-pVTZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at PBEPBE/cc-pVTZ
 hartrees
Energy at 0K-225.924935
Energy at 298.15K-225.930875
HF Energy-225.924935
Nuclear repulsion energy166.400009
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-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 A1 3133 3111 19.61      
2 A1 2977 2957 0.16      
3 A1 1649 1638 18.56      
4 A1 1362 1352 0.06      
5 A1 1323 1313 32.83      
6 A1 1227 1219 6.86      
7 A1 1011 1004 2.22      
8 A1 897 891 12.83      
9 A2 1095 1087 0.00      
10 A2 891 885 0.00      
11 A2 534 530 0.00      
12 B1 3006 2986 1.59      
13 B1 959 952 19.26      
14 B1 797 791 5.09      
15 B1 366 364 36.95      
16 B2 3118 3096 9.08      
17 B2 1713 1701 0.72      
18 B2 1330 1320 34.30      
19 B2 1188 1180 1.07      
20 B2 1049 1042 25.96      
21 B2 907 901 81.01      

Unscaled Zero Point Vibrational Energy (zpe) 15265.0 cm-1
Scaled (by 0.9931) Zero Point Vibrational Energy (zpe) 15159.6 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-pVTZ
ABC
0.36192 0.30241 0.17012

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.201
N2 0.000 0.997 0.283
N3 0.000 -0.997 0.283
C4 0.000 0.728 -0.949
C5 0.000 -0.728 -0.949
H6 -0.895 0.000 1.845
H7 0.895 0.000 1.845
H8 0.000 1.483 -1.735
H9 0.000 -1.483 -1.735

Atom - Atom Distances (Å)
  C1 N2 N3 C4 C5 H6 H7 H8 H9
C11.35521.35522.27072.27071.10231.10233.28963.2896
N21.35521.99331.26162.11972.05772.05772.07593.1972
N31.35521.99332.11971.26162.05772.05773.19722.0759
C42.27071.26162.11971.45553.02343.02341.08972.3463
C52.27072.11971.26161.45553.02343.02342.34631.0897
H61.10232.05772.05773.02343.02341.78953.97723.9772
H71.10232.05772.05773.02343.02341.78953.97723.9772
H83.28962.07593.19721.08972.34633.97723.97722.9663
H93.28963.19722.07592.34631.08973.97723.97722.9663

picture of 2H-Imidazole state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 N2 C4 120.349 C1 N3 C5 120.349
N2 C1 N3 94.689 N2 C1 H6 113.314
N2 C1 H7 113.314 N2 C4 C5 102.306
N2 C4 H8 123.811 N3 C1 H6 113.314
N3 C1 H7 113.314 N3 C5 C4 102.306
N3 C5 H9 123.811 C4 C5 H9 133.883
C5 C4 H8 133.883 H6 C1 H7 108.524
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.022      
2 N -0.120      
3 N -0.120      
4 C -0.111      
5 C -0.111      
6 H 0.126      
7 H 0.126      
8 H 0.117      
9 H 0.117      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.000 0.000 -0.526 0.526
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.347 0.000 0.000
y 0.000 -35.133 0.000
z 0.000 0.000 -21.993
Traceless
 xyz
x 0.216 0.000 0.000
y 0.000 -9.963 0.000
z 0.000 0.000 9.746
Polar
3z2-r219.493
x2-y26.786
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.335 0.000 0.000
y 0.000 6.338 0.000
z 0.000 0.000 8.637


<r2> (average value of r2) Å2
<r2> 77.488
(<r2>)1/2 8.803