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

using model chemistry: M06-2X/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 M06-2X/3-21G*
 hartrees
Energy at 0K-503.125228
Energy at 298.15K-503.133028
HF Energy-503.125228
Nuclear repulsion energy444.720325
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 M06-2X/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' 3584 3395 0.00      
2 A1' 1868 1770 0.00      
3 A1' 1003 950 0.00      
4 A1' 677 641 0.00      
5 A2' 1434 1358 0.02      
6 A2' 1242 1176 0.00      
7 A2' 640 606 0.00      
8 A2" 910 862 454.44      
9 A2" 697 660 197.55      
10 A2" 174 165 3.97      
11 E' 3580 3391 180.83      
11 E' 3580 3391 180.76      
12 E' 1847 1750 800.57      
12 E' 1847 1750 799.03      
13 E' 1464 1387 241.74      
13 E' 1464 1386 239.99      
14 E' 1438 1363 184.09      
14 E' 1438 1362 182.84      
15 E' 1053 997 4.48      
15 E' 1052 997 4.48      
16 E' 523 495 24.16      
16 E' 523 495 24.11      
17 E' 399 378 26.19      
17 E' 399 377 26.13      
18 E" 822 779 0.00      
18 E" 822 779 0.00      
19 E" 680 644 0.00      
19 E" 680 644 0.00      
20 E" 169 160 0.00      
20 E" 168 160 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 18087.5 cm-1
Scaled (by 0.9472) Zero Point Vibrational Energy (zpe) 17132.5 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 M06-2X/3-21G*
ABC
0.06651 0.06651 0.03326

See section I.F.4 to change rotational constant units
Geometric Data calculated at M06-2X/3-21G*

Point Group is D3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 1.247 0.720 0.000
C2 -1.247 0.720 0.000
C3 0.000 -1.440 0.000
N4 0.000 1.340 0.000
N5 -1.160 -0.670 0.000
N6 1.160 -0.670 0.000
O7 2.306 1.331 0.000
O8 -2.306 1.331 0.000
O9 0.000 -2.662 0.000
H10 0.000 2.357 0.000
H11 -2.041 -1.178 0.000
H12 2.041 -1.178 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 N4 N5 N6 O7 O8 O9 H10 H11 H12
C12.49352.49351.39242.77941.39241.22263.60453.60452.05753.79622.0575
C22.49352.49351.39241.39242.77943.60451.22263.60452.05752.05753.7962
C32.49352.49352.77941.39241.39243.60453.60451.22263.79622.05752.0575
N41.39241.39242.77942.32052.32052.30562.30564.00201.01683.24123.2412
N52.77941.39241.39242.32052.32054.00202.30562.30563.24121.01683.2412
N61.39242.77941.39242.32052.32052.30564.00202.30563.24123.24121.0168
O71.22263.60453.60452.30564.00202.30564.61114.61112.52335.01882.5233
O83.60451.22263.60452.30562.30564.00204.61114.61112.52332.52335.0188
O93.60453.60451.22264.00202.30562.30564.61114.61115.01882.52332.5233
H102.05752.05753.79621.01683.24123.24122.52332.52335.01884.08174.0817
H113.79622.05752.05753.24121.01683.24125.01882.52332.52334.08174.0817
H122.05753.79622.05753.24123.24121.01682.52335.01882.52334.08174.0817

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 127.123 C1 N4 H10 116.438
C1 N6 C3 127.123 C1 N6 H12 116.438
C2 N4 H10 116.438 C2 N5 C3 127.123
C2 N5 H11 116.438 C3 N5 H11 116.438
C3 N6 H12 116.438 N4 C1 N6 112.877
N4 C1 O7 123.562 N4 C2 N5 112.877
N4 C2 O8 123.562 N5 C2 O8 123.562
N5 C3 N6 112.876 N5 C3 O9 123.562
N6 C1 O7 123.562 N6 C3 O9 123.562
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at M06-2X/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.944      
2 C 0.944      
3 C 0.944      
4 N -0.848      
5 N -0.848      
6 N -0.848      
7 O -0.481      
8 O -0.481      
9 O -0.481      
10 H 0.384      
11 H 0.384      
12 H 0.384      


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 -56.901 0.000 0.000
y 0.000 -56.901 0.000
z 0.000 0.000 -49.193
Traceless
 xyz
x -3.854 0.000 0.000
y 0.000 -3.854 0.000
z 0.000 0.000 7.708
Polar
3z2-r215.417
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 9.045 0.000 0.000
y 0.000 9.053 0.000
z 0.000 0.000 2.379


<r2> (average value of r2) Å2
<r2> 295.694
(<r2>)1/2 17.196