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All results from a given calculation for C5H4N4 (purine)

using model chemistry: HSEh1PBE/6-31G(2df,p)

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A
Energy calculated at HSEh1PBE/6-31G(2df,p)
 hartrees
Energy at 0K-411.549382
Energy at 298.15K-411.557325
HF Energy-411.549382
Nuclear repulsion energy414.135281
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 HSEh1PBE/6-31G(2df,p)
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 A' 3702 3545 94.38      
2 A' 3262 3124 0.47      
3 A' 3193 3058 14.60      
4 A' 3184 3050 15.46      
5 A' 1683 1612 67.32      
6 A' 1644 1574 80.69      
7 A' 1552 1486 25.56      
8 A' 1504 1441 3.04      
9 A' 1450 1389 60.37      
10 A' 1429 1368 24.88      
11 A' 1385 1327 62.37      
12 A' 1334 1278 14.29      
13 A' 1325 1269 13.92      
14 A' 1295 1240 32.12      
15 A' 1216 1165 7.39      
16 A' 1151 1103 5.69      
17 A' 1098 1052 12.21      
18 A' 951 911 1.91      
19 A' 917 878 12.74      
20 A' 816 781 15.51      
21 A' 662 634 0.54      
22 A' 572 548 4.34      
23 A' 448 429 12.10      
24 A" 1011 969 0.45      
25 A" 959 919 5.97      
26 A" 896 858 3.75      
27 A" 838 803 9.93      
28 A" 674 646 7.05      
29 A" 632 605 21.75      
30 A" 546 523 93.04      
31 A" 424 406 3.11      
32 A" 249 239 0.40      
33 A" 237 227 4.36      

Unscaled Zero Point Vibrational Energy (zpe) 21119.7 cm-1
Scaled (by 0.9577) Zero Point Vibrational Energy (zpe) 20226.4 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 HSEh1PBE/6-31G(2df,p)
ABC
0.13906 0.05904 0.04144

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/6-31G(2df,p)

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 -1.809 -1.249 0.000
C2 -2.092 0.067 0.000
N3 -1.265 1.098 0.000
C4 0.000 0.700 0.000
C5 0.450 -0.625 0.000
C6 -0.538 -1.603 0.000
N7 1.827 -0.687 0.000
C8 2.173 0.567 0.000
N9 1.124 1.460 0.000
H10 -3.150 0.307 0.000
H11 -0.313 -2.666 0.000
H12 3.200 0.901 0.000
H13 1.168 2.464 0.000

Atom - Atom Distances (Å)
  N1 C2 N3 C4 C5 C6 N7 C8 N9 H10 H11 H12 H13
N11.34662.40932.65972.34411.31963.67934.37723.99292.05412.06055.45104.7595
C21.34661.32172.18602.63482.28163.99114.29463.50461.08423.26125.35724.0464
N32.40931.32171.32552.43022.79673.56963.47842.41552.04403.88204.46852.7899
C42.65972.18601.32551.39922.36532.29402.17721.35653.17403.38073.20592.1155
C52.34412.63482.43021.39921.39051.37822.09512.19093.71832.17933.14453.1711
C61.31962.28162.79672.36531.39052.53603.47283.48493.23571.08644.49904.4105
N73.67933.99113.56962.29401.37822.53601.30142.25975.07482.91452.09943.2197
C84.37724.29463.47842.17722.09513.47281.30141.37805.32914.07861.07942.1470
N93.99293.50462.41551.35652.19093.48492.25971.37804.42604.36912.15001.0050
H102.05411.08422.04403.17403.71833.23575.07485.32914.42604.10926.37704.8262
H112.06053.26123.88203.38072.17931.08642.91454.07864.36914.10925.00635.3396
H125.45105.35724.46853.20593.14454.49902.09941.07942.15006.37705.00632.5636
H134.75954.04642.78992.11553.17114.41053.21972.14701.00504.82625.33962.5636

picture of purine state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
N1 C2 N3 129.093 N1 C2 H10 114.922
N1 C6 C5 119.732 N1 C6 H11 117.498
C2 N1 C6 117.681 C2 N3 C4 111.330
N3 C2 H10 115.985 N3 C4 C5 126.208
N3 C4 N9 128.480 C4 C5 C6 115.956
C4 C5 N7 111.366 C4 N9 C8 105.532
C4 N9 H13 126.589 C5 C4 N9 105.312
C5 C6 H11 122.770 C5 N7 C8 102.830
C6 C5 N7 132.678 N7 C8 N9 114.960
N7 C8 H12 123.453 C8 N9 H13 127.878
N9 C8 H12 121.587
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.289      
2 C 0.053      
3 N -0.379      
4 C 0.457      
5 C 0.200      
6 C -0.067      
7 N -0.352      
8 C 0.023      
9 N -0.421      
10 H 0.146      
11 H 0.156      
12 H 0.171      
13 H 0.302      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  2.173 2.929 0.000 3.647
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -49.316 6.101 0.000
y 6.101 -46.090 0.000
z 0.000 0.000 -50.747
Traceless
 xyz
x -0.898 6.101 0.000
y 6.101 3.942 0.000
z 0.000 0.000 -3.044
Polar
3z2-r2-6.089
x2-y2-3.226
xy6.101
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 14.974 1.358 0.000
y 1.358 11.594 0.000
z 0.000 0.000 4.977


<r2> (average value of r2) Å2
<r2> 251.617
(<r2>)1/2 15.862