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

using model chemistry: PBEPBE/STO-3G

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/STO-3G
 hartrees
Energy at 0K-498.845205
Energy at 298.15K-498.850900
HF Energy-498.845205
Nuclear repulsion energy426.248414
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/STO-3G
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' 3664 3348 0.00      
2 A1' 1857 1696 0.00      
3 A1' 906 828 0.00      
4 A1' 621 568 0.00      
5 A2' 1362 1244 0.00      
6 A2' 1070 977 0.00      
7 A2' 543 496 0.00      
8 A2" 627 573 45.82      
9 A2" 545 498 303.81      
10 A2" 29 26 6.75      
11 E' 3662 3345 40.64      
11 E' 3662 3345 40.64      
12 E' 1853 1693 272.46      
12 E' 1853 1693 272.50      
13 E' 1418 1295 52.30      
13 E' 1418 1295 52.29      
14 E' 1324 1209 256.75      
14 E' 1324 1209 256.76      
15 E' 969 885 3.10      
15 E' 969 885 3.10      
16 E' 466 426 12.38      
16 E' 466 426 12.38      
17 E' 340 310 9.65      
17 E' 340 310 9.64      
18 E" 608 555 0.00      
18 E" 608 555 0.00      
19 E" 514 469 0.00      
19 E" 514 469 0.00      
20 E" 91 83 0.00      
20 E" 91 83 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 16853.7 cm-1
Scaled (by 0.9136) Zero Point Vibrational Energy (zpe) 15397.5 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 PBEPBE/STO-3G
ABC
0.06084 0.06084 0.03042

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/STO-3G

Point Group is D3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 1.321 0.762 0.000
C2 -1.321 0.762 0.000
C3 0.000 -1.525 0.000
N4 0.000 1.385 0.000
N5 -1.199 -0.693 0.000
N6 1.199 -0.693 0.000
O7 2.411 1.392 0.000
O8 -2.411 1.392 0.000
O9 0.000 -2.784 0.000
H10 0.000 2.436 0.000
H11 -2.110 -1.218 0.000
H12 2.110 -1.218 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 N4 N5 N6 O7 O8 O9 H10 H11 H12
C12.64102.64101.46002.90991.46001.25943.78453.78452.13203.96102.1320
C22.64102.64101.46001.46002.90993.78451.25943.78452.13202.13203.9610
C32.64102.64102.90991.46001.46003.78453.78451.25943.96102.13202.1320
N41.46001.46002.90992.39902.39902.41122.41124.16931.05113.35083.3508
N52.90991.46001.46002.39902.39904.16932.41122.41123.35081.05113.3508
N61.46002.90991.46002.39902.39902.41124.16932.41123.35083.35081.0511
O71.25943.78453.78452.41124.16932.41124.82244.82242.62765.22042.6276
O83.78451.25943.78452.41122.41124.16934.82244.82242.62762.62765.2204
O93.78453.78451.25944.16932.41122.41124.82244.82245.22042.62762.6276
H102.13202.13203.96101.05113.35083.35082.62762.62765.22044.21964.2196
H113.96102.13202.13203.35081.05113.35085.22042.62762.62764.21964.2196
H122.13203.96102.13203.35083.35081.05112.62765.22042.62764.21964.2196

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 129.510 C1 N4 H10 115.245
C1 N6 C3 129.510 C1 N6 H12 115.245
C2 N4 H10 115.245 C2 N5 C3 129.510
C2 N5 H11 115.245 C3 N5 H11 115.245
C3 N6 H12 115.245 N4 C1 N6 110.490
N4 C1 O7 124.755 N4 C2 N5 110.490
N4 C2 O8 124.755 N5 C2 O8 124.755
N5 C3 N6 110.490 N5 C3 O9 124.755
N6 C1 O7 124.755 N6 C3 O9 124.755
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/STO-3G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.250      
2 C 0.250      
3 C 0.250      
4 N -0.283      
5 N -0.283      
6 N -0.283      
7 O -0.191      
8 O -0.191      
9 O -0.191      
10 H 0.224      
11 H 0.224      
12 H 0.224      


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 -48.004 0.000 0.000
y 0.000 -48.004 0.000
z 0.000 0.000 -44.796
Traceless
 xyz
x -1.604 0.000 0.000
y 0.000 -1.604 0.000
z 0.000 0.000 3.209
Polar
3z2-r26.417
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 8.558 0.000 0.000
y 0.000 8.558 0.000
z 0.000 0.000 1.116


<r2> (average value of r2) Å2
<r2> 315.302
(<r2>)1/2 17.757