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

using model chemistry: PBEPBE/Def2TZVPP

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D3H 1A1'
Energy calculated at PBEPBE/Def2TZVPP
 hartrees
Energy at 0K-505.815939
Energy at 298.15K-505.823196
HF Energy-505.815939
Nuclear repulsion energy445.345918
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 PBEPBE/Def2TZVPP
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' 3549 3506 0.00      
2 A1' 1781 1760 0.00      
3 A1' 963 951 0.00      
4 A1' 646 638 0.00      
5 A2' 1322 1306 0.00      
6 A2' 1167 1153 0.00      
7 A2' 607 599 0.00      
8 A2" 727 718 56.47      
9 A2" 647 639 226.39      
10 A2" 124 123 3.09      
11 E' 3546 3504 140.49      
11 E' 3546 3504 140.50      
12 E' 1759 1738 874.21      
12 E' 1759 1738 874.09      
13 E' 1410 1393 287.46      
13 E' 1410 1393 287.43      
14 E' 1356 1340 56.16      
14 E' 1356 1340 56.19      
15 E' 995 983 14.01      
15 E' 995 983 14.00      
16 E' 500 494 26.14      
16 E' 500 494 26.14      
17 E' 377 372 21.08      
17 E' 377 372 21.08      
18 E" 729 720 0.00      
18 E" 729 720 0.00      
19 E" 581 574 0.00      
19 E" 581 574 0.00      
20 E" 149 147 0.00      
20 E" 149 147 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 17169.4 cm-1
Scaled (by 0.9879) Zero Point Vibrational Energy (zpe) 16961.7 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 PBEPBE/Def2TZVPP
ABC
0.06672 0.06672 0.03336

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/Def2TZVPP

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 -1.439 0.000
N4 0.000 1.341 0.000
N5 -1.162 -0.671 0.000
N6 1.162 -0.671 0.000
O7 2.300 1.328 0.000
O8 -2.300 1.328 0.000
O9 0.000 -2.655 0.000
H10 0.000 2.357 0.000
H11 -2.042 -1.179 0.000
H12 2.042 -1.179 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 N4 N5 N6 O7 O8 O9 H10 H11 H12
C12.49302.49301.39292.78071.39291.21613.59803.59802.05813.79672.0581
C22.49302.49301.39291.39292.78073.59801.21613.59802.05812.05813.7967
C32.49302.49302.78071.39291.39293.59803.59801.21613.79672.05812.0581
N41.39291.39292.78072.32322.32322.29972.29973.99681.01603.24323.2432
N52.78071.39291.39292.32322.32323.99682.29972.29973.24321.01603.2432
N61.39292.78071.39292.32322.32322.29973.99682.29973.24323.24321.0160
O71.21613.59803.59802.29973.99682.29974.59944.59942.51975.01282.5197
O83.59801.21613.59802.29972.29973.99684.59944.59942.51972.51975.0128
O93.59803.59801.21613.99682.29972.29974.59944.59945.01282.51972.5197
H102.05812.05813.79671.01603.24323.24322.51972.51975.01284.08304.0830
H113.79672.05812.05813.24321.01603.24325.01282.51972.51974.08304.0830
H122.05813.79672.05813.24323.24321.01602.51975.01282.51974.08304.0830

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 126.988 C1 N4 H10 116.506
C1 N6 C3 126.988 C1 N6 H12 116.506
C2 N4 H10 116.506 C2 N5 C3 126.988
C2 N5 H11 116.506 C3 N5 H11 116.506
C3 N6 H12 116.506 N4 C1 N6 113.012
N4 C1 O7 123.494 N4 C2 N5 113.012
N4 C2 O8 123.494 N5 C2 O8 123.494
N5 C3 N6 113.012 N5 C3 O9 123.494
N6 C1 O7 123.494 N6 C3 O9 123.494
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/Def2TZVPP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.184      
2 C 0.184      
3 C 0.184      
4 N -0.121      
5 N -0.121      
6 N -0.121      
7 O -0.269      
8 O -0.269      
9 O -0.269      
10 H 0.206      
11 H 0.206      
12 H 0.206      


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 -57.284 0.000 0.000
y 0.000 -57.284 0.000
z 0.000 0.000 -49.449
Traceless
 xyz
x -3.917 0.000 0.000
y 0.000 -3.917 0.000
z 0.000 0.000 7.835
Polar
3z2-r215.669
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 12.153 0.000 0.000
y 0.000 12.153 0.000
z 0.000 0.000 5.274


<r2> (average value of r2) Å2
<r2> 295.129
(<r2>)1/2 17.179