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

using model chemistry: B97D3/6-31+G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D3H 1A1'
Energy calculated at B97D3/6-31+G**
 hartrees
Energy at 0K-505.861347
Energy at 298.15K-505.868472
HF Energy-505.861347
Nuclear repulsion energy444.090558
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 B97D3/6-31+G**
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' 3587 3525 0.00      
2 A1' 1795 1764 0.00      
3 A1' 964 947 0.00      
4 A1' 645 634 0.00      
5 A2' 1348 1325 0.00      
6 A2' 1159 1139 0.00      
7 A2' 610 600 0.00      
8 A2" 687 676 14.99      
9 A2" 627 617 321.26      
10 A2" 106 105 0.99      
11 E' 3584 3523 142.07      
11 E' 3584 3523 142.07      
12 E' 1773 1743 975.92      
12 E' 1773 1743 976.40      
13 E' 1416 1392 247.69      
13 E' 1416 1392 247.37      
14 E' 1370 1347 142.67      
14 E' 1370 1347 142.64      
15 E' 1000 983 16.30      
15 E' 1000 983 16.33      
16 E' 505 496 27.21      
16 E' 505 496 27.23      
17 E' 376 370 21.32      
17 E' 376 370 21.33      
18 E" 713 701 0.00      
18 E" 713 701 0.00      
19 E" 558 549 0.00      
19 E" 558 549 0.00      
20 E" 140 138 0.00      
20 E" 140 138 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 17200.5 cm-1
Scaled (by 0.9828) Zero Point Vibrational Energy (zpe) 16904.7 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 B97D3/6-31+G**
ABC
0.06632 0.06632 0.03316

See section I.F.4 to change rotational constant units
Geometric Data calculated at B97D3/6-31+G**

Point Group is D3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 1.250 0.722 0.000
C2 -1.250 0.722 0.000
C3 0.000 -1.443 0.000
N4 0.000 1.345 0.000
N5 -1.165 -0.672 0.000
N6 1.165 -0.672 0.000
O7 2.307 1.332 0.000
O8 -2.307 1.332 0.000
O9 0.000 -2.664 0.000
H10 0.000 2.359 0.000
H11 -2.043 -1.180 0.000
H12 2.043 -1.180 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 N4 N5 N6 O7 O8 O9 H10 H11 H12
C12.50012.50011.39682.78841.39681.22053.60913.60912.06003.80252.0600
C22.50012.50011.39681.39682.78843.60911.22053.60912.06002.06003.8025
C32.50012.50012.78841.39681.39683.60913.60911.22053.80252.06002.0600
N41.39681.39682.78842.32962.32962.30712.30714.00891.01413.24763.2476
N52.78841.39681.39682.32962.32964.00892.30712.30713.24761.01413.2476
N61.39682.78841.39682.32962.32962.30714.00892.30713.24763.24761.0141
O71.22053.60913.60912.30714.00892.30714.61414.61412.52535.02302.5253
O83.60911.22053.60912.30712.30714.00894.61414.61412.52532.52535.0230
O93.60913.60911.22054.00892.30712.30714.61414.61415.02302.52532.5253
H102.06002.06003.80251.01413.24763.24762.52532.52535.02304.08604.0860
H113.80252.06002.06003.24761.01413.24765.02302.52532.52534.08604.0860
H122.06003.80252.06003.24763.24761.01412.52535.02302.52534.08604.0860

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 127.000 C1 N4 H10 116.500
C1 N6 C3 127.000 C1 N6 H12 116.500
C2 N4 H10 116.500 C2 N5 C3 127.000
C2 N5 H11 116.500 C3 N5 H11 116.500
C3 N6 H12 116.500 N4 C1 N6 113.000
N4 C1 O7 123.500 N4 C2 N5 113.000
N4 C2 O8 123.500 N5 C2 O8 123.500
N5 C3 N6 113.000 N5 C3 O9 123.500
N6 C1 O7 123.500 N6 C3 O9 123.500
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B97D3/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.663      
2 C 0.663      
3 C 0.663      
4 N -0.563      
5 N -0.563      
6 N -0.563      
7 O -0.454      
8 O -0.454      
9 O -0.454      
10 H 0.354      
11 H 0.354      
12 H 0.354      


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 -58.122 0.000 0.000
y 0.000 -58.122 0.000
z 0.000 0.000 -49.817
Traceless
 xyz
x -4.153 0.000 0.000
y 0.000 -4.153 0.000
z 0.000 0.000 8.305
Polar
3z2-r216.610
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 12.391 0.000 0.000
y 0.000 12.392 0.000
z 0.000 0.000 5.343


<r2> (average value of r2) Å2
<r2> 297.077
(<r2>)1/2 17.236