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

using model chemistry: wB97X-D/cc-pVDZ

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/cc-pVDZ
 hartrees
Energy at 0K-506.002354
Energy at 298.15K-506.009817
HF Energy-506.002354
Nuclear repulsion energy447.796275
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/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 A1' 3684 3509 0.00      
2 A1' 1895 1805 0.00      
3 A1' 998 951 0.00      
4 A1' 681 648 0.00      
5 A2' 1392 1326 0.00      
6 A2' 1261 1201 0.00      
7 A2' 638 607 0.00      
8 A2" 731 696 66.56      
9 A2" 649 619 320.95      
10 A2" 123 117 1.24      
11 E' 3681 3506 175.19      
11 E' 3681 3506 175.04      
12 E' 1868 1780 1151.50      
12 E' 1868 1780 1152.28      
13 E' 1502 1431 378.38      
13 E' 1502 1431 378.35      
14 E' 1422 1354 70.52      
14 E' 1422 1354 70.82      
15 E' 1048 999 15.70      
15 E' 1048 999 15.74      
16 E' 524 499 25.56      
16 E' 523 499 25.61      
17 E' 395 376 27.88      
17 E' 395 376 27.90      
18 E" 751 716 0.00      
18 E" 751 716 0.00      
19 E" 587 560 0.00      
19 E" 587 560 0.00      
20 E" 152 145 0.00      
20 E" 152 145 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 17955.2 cm-1
Scaled (by 0.9526) Zero Point Vibrational Energy (zpe) 17104.2 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/cc-pVDZ
ABC
0.06751 0.06751 0.03375

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/cc-pVDZ

Point Group is D3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 1.237 0.714 0.000
C2 -1.237 0.714 0.000
C3 0.000 -1.429 0.000
N4 0.000 1.338 0.000
N5 -1.159 -0.669 0.000
N6 1.159 -0.669 0.000
O7 2.284 1.319 0.000
O8 -2.284 1.319 0.000
O9 0.000 -2.637 0.000
H10 0.000 2.349 0.000
H11 -2.034 -1.174 0.000
H12 2.034 -1.174 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 N4 N5 N6 O7 O8 O9 H10 H11 H12
C12.47452.47451.38542.76641.38541.20853.57253.57252.04983.77732.0498
C22.47452.47451.38541.38542.76643.57251.20853.57252.04982.04983.7773
C32.47452.47452.76641.38541.38543.57253.57251.20853.77732.04982.0498
N41.38541.38542.76642.31702.31702.28392.28393.97491.01093.23233.2323
N52.76641.38541.38542.31702.31703.97492.28392.28393.23231.01093.2323
N61.38542.76641.38542.31702.31702.28393.97492.28393.23233.23231.0109
O71.20853.57253.57252.28393.97492.28394.56764.56762.50544.98582.5054
O83.57251.20853.57252.28392.28393.97494.56764.56762.50542.50544.9858
O93.57253.57251.20853.97492.28392.28394.56764.56764.98582.50542.5054
H102.04982.04983.77731.01093.23233.23232.50542.50544.98584.06804.0680
H113.77732.04982.04983.23231.01093.23234.98582.50542.50544.06804.0680
H122.04983.77732.04983.23233.23231.01092.50544.98582.50544.06804.0680

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 126.514 C1 N4 H10 116.743
C1 N6 C3 126.513 C1 N6 H12 116.743
C2 N4 H10 116.743 C2 N5 C3 126.513
C2 N5 H11 116.743 C3 N5 H11 116.743
C3 N6 H12 116.743 N4 C1 N6 113.486
N4 C1 O7 123.257 N4 C2 N5 113.486
N4 C2 O8 123.257 N5 C2 O8 123.257
N5 C3 N6 113.487 N5 C3 O9 123.257
N6 C1 O7 123.257 N6 C3 O9 123.257
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.726      
2 C 0.726      
3 C 0.726      
4 N -0.610      
5 N -0.610      
6 N -0.610      
7 O -0.491      
8 O -0.491      
9 O -0.491      
10 H 0.375      
11 H 0.375      
12 H 0.375      


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 -58.289 0.000 0.000
y 0.000 -58.289 0.000
z 0.000 0.000 -49.694
Traceless
 xyz
x -4.298 0.000 0.000
y 0.000 -4.298 0.000
z 0.000 0.000 8.595
Polar
3z2-r217.191
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 11.414 0.000 0.000
y 0.000 11.415 0.000
z 0.000 0.000 5.136


<r2> (average value of r2) Å2
<r2> 292.592
(<r2>)1/2 17.105