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All results from a given calculation for C3H3N3O3 (cyanuric acid)

using model chemistry: wB97X-D/3-21G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D3H 1A1'
Energy calculated at wB97X-D/3-21G*
 hartrees
Energy at 0K-503.183526
Energy at 298.15K-503.191379
HF Energy-503.183526
Nuclear repulsion energy445.231497
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 wB97X-D/3-21G*
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' 3641 3451 0.00      
2 A1' 1868 1771 0.00      
3 A1' 1007 954 0.00      
4 A1' 672 637 0.00      
5 A2' 1455 1379 0.00      
6 A2' 1234 1170 0.00      
7 A2' 641 607 0.00      
8 A2" 915 867 458.56      
9 A2" 719 682 170.60      
10 A2" 178 169 4.53      
11 E' 3637 3447 158.01      
11 E' 3637 3447 158.02      
12 E' 1849 1752 766.10      
12 E' 1849 1752 766.88      
13 E' 1470 1393 73.45      
13 E' 1470 1393 72.84      
14 E' 1445 1370 331.62      
14 E' 1445 1369 330.33      
15 E' 1051 996 5.36      
15 E' 1050 996 5.41      
16 E' 523 495 24.45      
16 E' 523 495 24.44      
17 E' 395 375 24.37      
17 E' 395 375 24.37      
18 E" 833 789 0.00      
18 E" 833 789 0.00      
19 E" 703 666 0.00      
19 E" 703 666 0.00      
20 E" 173 164 0.00      
20 E" 173 164 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 18242.3 cm-1
Scaled (by 0.9478) Zero Point Vibrational Energy (zpe) 17290.1 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 wB97X-D/3-21G*
ABC
0.06666 0.06666 0.03333

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/3-21G*

Point Group is D3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 1.246 0.719 0.000
C2 -1.246 0.719 0.000
C3 0.000 -1.439 0.000
N4 0.000 1.338 0.000
N5 -1.158 -0.669 0.000
N6 1.158 -0.669 0.000
O7 2.304 1.330 0.000
O8 -2.304 1.330 0.000
O9 0.000 -2.661 0.000
H10 0.000 2.350 0.000
H11 -2.035 -1.175 0.000
H12 2.035 -1.175 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 N4 N5 N6 O7 O8 O9 H10 H11 H12
C12.49212.49211.39102.77651.39101.22193.60253.60252.05233.78902.0523
C22.49212.49211.39101.39102.77653.60251.22193.60252.05232.05233.7890
C32.49212.49212.77651.39101.39103.60253.60251.22193.78902.05232.0523
N41.39101.39102.77652.31702.31702.30432.30433.99841.01243.23373.2337
N52.77651.39101.39102.31702.31703.99842.30432.30433.23371.01243.2337
N61.39102.77651.39102.31702.31702.30433.99842.30433.23373.23371.0124
O71.22193.60253.60252.30433.99842.30434.60854.60852.51985.01092.5198
O83.60251.22193.60252.30432.30433.99844.60854.60852.51982.51985.0109
O93.60253.60251.22193.99842.30432.30434.60854.60855.01092.51982.5198
H102.05232.05233.78901.01243.23373.23372.51982.51985.01094.07064.0706
H113.78902.05232.05233.23371.01243.23375.01092.51982.51984.07064.0706
H122.05233.78902.05233.23373.23371.01242.51985.01092.51984.07064.0706

picture of cyanuric acid state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 N4 C2 127.218 C1 N4 H10 116.391
C1 N6 C3 127.218 C1 N6 H12 116.391
C2 N4 H10 116.391 C2 N5 C3 127.218
C2 N5 H11 116.391 C3 N5 H11 116.391
C3 N6 H12 116.391 N4 C1 N6 112.782
N4 C1 O7 123.609 N4 C2 N5 112.782
N4 C2 O8 123.609 N5 C2 O8 123.609
N5 C3 N6 112.782 N5 C3 O9 123.609
N6 C1 O7 123.609 N6 C3 O9 123.609
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.956      
2 C 0.956      
3 C 0.956      
4 N -0.855      
5 N -0.855      
6 N -0.855      
7 O -0.489      
8 O -0.489      
9 O -0.489      
10 H 0.388      
11 H 0.388      
12 H 0.388      


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 0.000 0.000
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -56.285 0.000 0.000
y 0.000 -56.285 0.000
z 0.000 0.000 -48.694
Traceless
 xyz
x -3.795 0.000 0.000
y 0.000 -3.795 0.000
z 0.000 0.000 7.590
Polar
3z2-r215.181
x2-y20.000
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.027 0.000 0.000
y 0.000 9.028 0.000
z 0.000 0.000 2.405


<r2> (average value of r2) Å2
<r2> 294.737
(<r2>)1/2 17.168