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

using model chemistry: TPSSh/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 TPSSh/cc-pVDZ
 hartrees
Energy at 0K-226.225425
Energy at 298.15K-226.231312
HF Energy-226.225425
Nuclear repulsion energy160.158295
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 TPSSh/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' 3207 3119 15.15      
2 A' 3185 3097 11.12      
3 A' 3031 2947 2.19      
4 A' 1646 1601 41.26      
5 A' 1545 1502 10.27      
6 A' 1382 1343 20.02      
7 A' 1312 1276 23.80      
8 A' 1295 1259 4.59      
9 A' 1243 1208 6.47      
10 A' 1035 1006 51.03      
11 A' 998 971 15.74      
12 A' 942 916 3.33      
13 A' 873 849 3.58      
14 A' 872 848 14.49      
15 A" 3067 2983 1.77      
16 A" 1145 1113 0.40      
17 A" 992 965 12.73      
18 A" 950 924 1.66      
19 A" 740 719 5.88      
20 A" 559 543 18.26      
21 A" 359 349 7.59      

Unscaled Zero Point Vibrational Energy (zpe) 15187.6 cm-1
Scaled (by 0.9724) Zero Point Vibrational Energy (zpe) 14768.4 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 TPSSh/cc-pVDZ
ABC
0.31974 0.29055 0.15669

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

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 -1.205 0.363 0.000
C2 0.000 1.134 0.000
N3 1.125 0.503 0.000
C4 0.732 -0.901 0.000
C5 -0.767 -0.856 0.000
H6 -0.071 2.224 0.000
H7 1.144 -1.419 0.885
H8 1.144 -1.419 -0.885
H9 -1.445 -1.714 0.000

Atom - Atom Distances (Å)
  N1 C2 N3 C4 C5 H6 H7 H8 H9
N11.43112.33482.31301.29482.18023.07883.07882.0909
C21.43111.29012.16302.13261.09242.93452.93453.1940
N32.33481.29011.45862.32962.09592.11612.11613.3944
C42.31302.16301.45861.49943.22701.10511.10512.3232
C51.29482.13262.32961.49943.15782.18042.18041.0939
H62.18021.09242.09593.22703.15783.94123.94124.1716
H73.07882.93452.11611.10512.18043.94121.76972.7520
H83.07882.93452.11611.10512.18043.94121.76972.7520
H92.09093.19403.39442.32321.09394.17162.75202.7520

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 118.094 N1 C2 H6 118.912
N1 C5 C4 111.532 N1 C5 H9 121.942
C2 N1 C5 102.835 C2 N3 C4 103.631
N3 C2 H6 122.995 N3 C4 C5 103.909
N3 C4 H7 110.501 N3 C4 H8 110.501
C4 C5 H9 126.526 C5 C4 H7 112.807
C5 C4 H8 112.807 H7 C4 H8 106.390
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at TPSSh/cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.221      
2 C 0.163      
3 N -0.257      
4 C 0.070      
5 C 0.026      
6 H 0.035      
7 H 0.078      
8 H 0.078      
9 H 0.028      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.057 -1.973 0.000 1.974
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.278 -0.332 0.000
y -0.332 7.557 0.000
z 0.000 0.000 3.692


<r2> (average value of r2) Å2
<r2> 81.721
(<r2>)1/2 9.040