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All results from a given calculation for C16H10 (Pyrene)

using model chemistry: B3LYP/cc-pVTZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D2H 1Ag
Energy calculated at B3LYP/cc-pVTZ
 hartrees
Energy at 0K-615.974606
Energy at 298.15K-615.985081
HF Energy-615.974606
Nuclear repulsion energy969.071497
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 B3LYP/cc-pVTZ
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 Ag 3186 3080 0.00      
2 Ag 3176 3070 0.00      
3 Ag 3161 3055 0.00      
4 Ag 1670 1614 0.00      
5 Ag 1599 1545 0.00      
6 Ag 1427 1379 0.00      
7 Ag 1355 1310 0.00      
8 Ag 1264 1222 0.00      
9 Ag 1171 1132 0.00      
10 Ag 1093 1057 0.00      
11 Ag 818 791 0.00      
12 Ag 597 577 0.00      
13 Ag 413 399 0.00      
14 Au 988 955 0.00      
15 Au 911 881 0.00      
16 Au 697 674 0.00      
17 Au 406 393 0.00      
18 Au 153 148 0.00      
19 B1g 924 893 0.00      
20 B1g 821 793 0.00      
21 B1g 543 525 0.00      
22 B1g 251 243 0.00      
23 B1u 3186 3079 60.71      
24 B1u 3162 3056 0.05      
25 B1u 3157 3052 2.68      
26 B1u 1636 1581 13.07      
27 B1u 1486 1437 0.91      
28 B1u 1465 1416 8.51      
29 B1u 1273 1230 2.26      
30 B1u 1116 1079 6.30      
31 B1u 1020 986 1.51      
32 B1u 837 809 4.14      
33 B1u 707 683 0.03      
34 B1u 508 491 3.02      
35 B2g 995 962 0.00      
36 B2g 981 948 0.00      
37 B2g 879 850 0.00      
38 B2g 791 764 0.00      
39 B2g 593 573 0.00      
40 B2g 520 503 0.00      
41 B2g 265 256 0.00      
42 B2u 3176 3070 69.74      
43 B2u 3169 3063 13.66      
44 B2u 1647 1592 3.07      
45 B2u 1517 1466 3.64      
46 B2u 1461 1412 2.66      
47 B2u 1343 1298 5.19      
48 B2u 1234 1193 0.02      
49 B2u 1207 1167 12.56      
50 B2u 1167 1128 0.26      
51 B2u 983 950 0.02      
52 B2u 555 537 2.44      
53 B2u 360 348 1.65      
54 B3g 3170 3064 0.00      
55 B3g 3157 3052 0.00      
56 B3g 1626 1571 0.00      
57 B3g 1539 1488 0.00      
58 B3g 1441 1393 0.00      
59 B3g 1399 1352 0.00      
60 B3g 1270 1227 0.00      
61 B3g 1201 1161 0.00      
62 B3g 1131 1093 0.00      
63 B3g 752 727 0.00      
64 B3g 510 492 0.00      
65 B3g 464 448 0.00      
66 B3u 988 955 1.10      
67 B3u 868 839 91.72      
68 B3u 761 736 14.79      
69 B3u 734 710 42.52      
70 B3u 504 488 1.76      
71 B3u 214 207 8.96      
72 B3u 99 96 0.51      

Unscaled Zero Point Vibrational Energy (zpe) 45421.0 cm-1
Scaled (by 0.9666) Zero Point Vibrational Energy (zpe) 43903.9 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 B3LYP/cc-pVTZ
ABC
0.03394 0.01865 0.01204

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/cc-pVTZ

Point Group is D2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.711
C2 0.000 0.000 -0.711
C3 0.000 1.231 1.424
C4 0.000 -1.231 1.424
C5 0.000 -1.231 -1.424
C6 0.000 1.231 -1.424
C7 0.000 1.206 2.822
C8 0.000 -1.206 2.822
C9 0.000 -1.206 -2.822
C10 0.000 1.206 -2.822
C11 0.000 2.455 0.678
C12 0.000 -2.455 0.678
C13 0.000 -2.455 -0.678
C14 0.000 2.455 -0.678
C15 0.000 0.000 3.510
C16 0.000 0.000 -3.510
H17 0.000 3.390 1.224
H18 0.000 -3.390 1.224
H19 0.000 -3.390 -1.224
H20 0.000 3.390 -1.224
H21 0.000 2.141 3.367
H22 0.000 -2.141 3.367
H23 0.000 -2.141 -3.367
H24 0.000 2.141 -3.367
H25 0.000 0.000 4.592
H26 0.000 0.000 -4.592

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 C8 C9 C10 C11 C12 C13 C14 C15 C16 H17 H18 H19 H20 H21 H22 H23 H24 H25 H26
C11.42161.42301.42302.46442.46442.43162.43163.73333.73332.45522.45522.82032.82032.79944.22103.42843.42843.90313.90313.41213.41214.60624.60623.88135.3030
C21.42162.46442.46441.42301.42303.73333.73332.43162.43162.82032.82032.45522.45524.22102.79943.90313.90313.42843.42844.60624.60623.41213.41215.30303.8813
C31.42302.46442.46293.76512.84781.39882.81004.89604.24641.43313.76124.24332.43172.42275.08552.16754.62555.32603.41602.14603.89265.85934.87703.39926.1408
C41.42302.46442.46292.84783.76512.81001.39884.24644.89603.76121.43312.43174.24332.42275.08554.62552.16753.41605.32603.89262.14604.87705.85933.39926.1408
C52.46441.42303.76512.84782.46294.89604.24641.39882.81004.24332.43171.43313.76125.08552.42275.32603.41602.16754.62555.85934.87702.14603.89266.14083.3992
C62.46441.42302.84783.76512.46294.24644.89602.81001.39882.43174.24333.76121.43315.08552.42273.41605.32604.62552.16754.87705.85933.89262.14606.14083.3992
C72.43163.73331.39882.81004.89604.24642.41166.13845.64482.48214.24285.06473.71621.38826.44642.70644.86566.12314.59821.08263.39117.03686.26022.14157.5120
C82.43163.73332.81001.39884.24644.89602.41165.64486.13844.24282.48213.71625.06471.38826.44644.86562.70644.59826.12313.39111.08266.26027.03682.14157.5120
C93.73332.43164.89604.24641.39882.81006.13845.64482.41165.06473.71622.48214.24286.44641.38826.12314.59822.70644.86567.03686.26021.08263.39117.51202.1415
C103.73332.43164.24644.89602.81001.39885.64486.13842.41163.71625.06474.24282.48216.44641.38824.59826.12314.86562.70646.26027.03683.39111.08267.51202.1415
C112.45522.82031.43313.76124.24332.43172.48214.24285.06473.71624.90995.09341.35523.74844.85431.08285.87026.14622.11892.70815.32546.12264.05724.62075.8135
C122.45522.82033.76121.43312.43174.24334.24282.48213.71625.06474.90991.35525.09343.74844.85435.87021.08282.11896.14625.32542.70814.05726.12264.62075.8135
C132.82032.45524.24332.43171.43313.76125.06473.71622.48214.24285.09341.35524.90994.85433.74846.14622.11891.08285.87026.12264.05722.70815.32545.81354.6207
C142.82032.45522.43174.24333.76121.43313.71625.06474.24282.48211.35525.09344.90994.85433.74842.11896.14625.87021.08284.05726.12265.32542.70815.81354.6207
C152.79944.22102.42272.42275.08555.08551.38821.38826.44646.44643.74843.74844.85434.85437.02044.08874.08875.82265.82262.14592.14597.20337.20331.08198.1024
C164.22102.79945.08555.08552.42272.42276.44646.44641.38821.38824.85434.85433.74843.74847.02045.82265.82264.08874.08877.20337.20332.14592.14598.10241.0819
H173.42843.90312.16754.62555.32603.41602.70644.86566.12314.59821.08285.87026.14622.11894.08875.82266.77957.20792.44802.48065.93187.18844.75824.77866.7319
H183.42843.90314.62552.16753.41605.32604.86562.70644.59826.12315.87021.08282.11896.14624.08875.82266.77952.44807.20795.93182.48064.75827.18844.77866.7319
H193.90313.42845.32603.41602.16754.62556.12314.59822.70644.86566.14622.11891.08285.87025.82264.08877.20792.44806.77957.18844.75822.48065.93186.73194.7786
H203.90313.42843.41605.32604.62552.16754.59826.12314.86562.70642.11896.14625.87021.08285.82264.08872.44807.20796.77954.75827.18845.93182.48066.73194.7786
H213.41214.60622.14603.89265.85934.87701.08263.39117.03686.26022.70815.32546.12264.05722.14597.20332.48065.93187.18844.75824.28247.98116.73502.46678.2426
H223.41214.60623.89262.14604.87705.85933.39111.08266.26027.03685.32542.70814.05726.12262.14597.20335.93182.48064.75827.18844.28246.73507.98112.46678.2426
H234.60623.41215.85934.87702.14603.89267.03686.26021.08263.39116.12264.05722.70815.32547.20332.14597.18844.75822.48065.93187.98116.73504.28248.24262.4667
H244.60623.41214.87705.85933.89262.14606.26027.03683.39111.08264.05726.12265.32542.70817.20332.14594.75827.18845.93182.48066.73507.98114.28248.24262.4667
H253.88135.30303.39923.39926.14086.14082.14152.14157.51207.51204.62074.62075.81355.81351.08198.10244.77864.77866.73196.73192.46672.46678.24268.24269.1843
H265.30303.88136.14086.14083.39923.39927.51207.51202.14152.14155.81355.81354.62074.62078.10241.08196.73196.73194.77864.77868.24268.24262.46672.46679.1843

picture of Pyrene state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C5 120.073 C1 C2 C6 120.073
C1 C3 C7 119.021 C1 C3 C11 118.545
C1 C4 C8 119.021 C1 C4 C12 118.545
C2 C1 C3 120.073 C2 C1 C4 120.073
C2 C5 C9 119.021 C2 C5 C13 118.545
C2 C6 C10 119.021 C2 C6 C14 118.545
C3 C1 C4 119.855 C3 C7 C15 120.753
C3 C7 H21 119.178 C3 C11 C14 121.382
C3 C11 H17 118.312 C4 C8 C15 120.753
C4 C8 H22 119.178 C4 C12 C13 121.382
C4 C12 H18 118.312 C5 C2 C6 119.855
C5 C9 C16 120.753 C5 C9 H23 119.178
C5 C13 C12 121.382 C5 C13 H19 118.312
C6 C10 C16 120.753 C6 C10 H24 119.178
C6 C14 C11 121.382 C6 C14 H20 118.312
C7 C3 C11 122.434 C7 C15 C8 120.598
C7 C15 H25 119.701 C8 C4 C12 122.434
C8 C15 H25 119.701 C9 C5 C13 122.434
C9 C16 C10 120.598 C9 C16 H26 119.701
C10 C6 C14 122.434 C10 C16 H26 119.701
C11 C14 H20 120.306 C12 C13 H19 120.306
C13 C12 H18 120.306 C14 C11 H17 120.306
C15 C7 H21 120.069 C15 C8 H22 120.069
C16 C9 H23 120.069 C16 C10 H24 120.069
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.060      
2 C 0.060      
3 C 0.089      
4 C 0.089      
5 C 0.089      
6 C 0.089      
7 C -0.148      
8 C -0.148      
9 C -0.148      
10 C -0.148      
11 C -0.148      
12 C -0.148      
13 C -0.148      
14 C -0.148      
15 C -0.136      
16 C -0.136      
17 H 0.097      
18 H 0.097      
19 H 0.097      
20 H 0.097      
21 H 0.096      
22 H 0.096      
23 H 0.096      
24 H 0.096      
25 H 0.103      
26 H 0.103      


Electric dipole moments


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -98.381 0.000 0.000
y 0.000 -81.101 0.000
z 0.000 0.000 -80.991
Traceless
 xyz
x -17.335 0.000 0.000
y 0.000 8.585 0.000
z 0.000 0.000 8.750
Polar
3z2-r217.499
x2-y2-17.280
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 11.139 0.000 0.000
y 0.000 30.337 0.000
z 0.000 0.000 42.267


<r2> (average value of r2) Å2
<r2> 832.773
(<r2>)1/2 28.858