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All results from a given calculation for C3H4N2 (4H-Imidazole)

using model chemistry: mPW1PW91/aug-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 mPW1PW91/aug-cc-pVDZ
 hartrees
Energy at 0K-226.168095
Energy at 298.15K-226.174049
HF Energy-226.168095
Nuclear repulsion energy161.023445
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 mPW1PW91/aug-cc-pVDZ
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' 3241 3106 10.07      
2 A' 3221 3087 7.81      
3 A' 3064 2937 2.34      
4 A' 1675 1605 49.31      
5 A' 1577 1511 13.00      
6 A' 1382 1324 24.70      
7 A' 1328 1272 29.86      
8 A' 1311 1256 5.74      
9 A' 1255 1202 4.62      
10 A' 1065 1020 46.70      
11 A' 1026 983 24.76      
12 A' 957 917 3.29      
13 A' 894 856 2.87      
14 A' 886 849 12.91      
15 A" 3105 2975 0.37      
16 A" 1153 1105 0.41      
17 A" 1005 963 14.71      
18 A" 972 931 1.92      
19 A" 750 719 5.66      
20 A" 572 548 21.92      
21 A" 370 355 6.20      

Unscaled Zero Point Vibrational Energy (zpe) 15403.4 cm-1
Scaled (by 0.9583) Zero Point Vibrational Energy (zpe) 14761.1 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 mPW1PW91/aug-cc-pVDZ
ABC
0.32187 0.29498 0.15845

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/aug-cc-pVDZ

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 -1.194 0.362 0.000
C2 0.000 1.133 0.000
N3 1.116 0.498 0.000
C4 0.728 -0.897 0.000
C5 -0.764 -0.853 0.000
H6 -0.068 2.219 0.000
H7 1.136 -1.414 0.882
H8 1.136 -1.414 -0.882
H9 -1.439 -1.709 0.000

Atom - Atom Distances (Å)
  N1 C2 N3 C4 C5 H6 H7 H8 H9
N11.42132.31342.29691.28812.17243.05963.05962.0849
C21.42131.28352.15662.12781.08842.92552.92553.1855
N32.31341.28351.44852.31502.08852.10642.10643.3762
C42.29692.15661.44851.49243.21631.10101.10102.3137
C51.28812.12782.31501.49243.15012.16912.16911.0901
H62.17241.08842.08853.21633.15013.92833.92834.1607
H73.05962.92552.10641.10102.16913.92831.76352.7381
H83.05962.92552.10641.10102.16913.92831.76352.7381
H92.08493.18553.37622.31371.09014.16072.73812.7381

picture of 4H-Imidazole state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
N1 C2 N3 117.491 N1 C2 H6 119.309
N1 C5 C4 111.180 N1 C5 H9 122.268
C2 N1 C5 103.395 C2 N3 C4 104.096
N3 C2 H6 123.200 N3 C4 C5 103.838
N3 C4 H7 110.682 N3 C4 H8 110.682
C4 C5 H9 126.552 C5 C4 H7 112.651
C5 C4 H8 112.651 H7 C4 H8 106.423
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/aug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.475      
2 C 0.554      
3 N -0.393      
4 C 0.734      
5 C 0.318      
6 H -0.151      
7 H -0.172      
8 H -0.172      
9 H -0.241      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.015 -2.134 0.000 2.134
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -35.512 -0.605 0.000
y -0.605 -23.884 0.000
z 0.000 0.000 -29.093
Traceless
 xyz
x -9.023 -0.605 0.000
y -0.605 8.418 0.000
z 0.000 0.000 0.605
Polar
3z2-r21.210
x2-y2-11.628
xy-0.605
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.597 -0.288 0.000
y -0.288 8.195 0.000
z 0.000 0.000 4.957


<r2> (average value of r2) Å2
<r2> 81.399
(<r2>)1/2 9.022