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All results from a given calculation for C16H10 (Pyrene)

using model chemistry: PBEPBE/Def2TZVPP

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D2H 1Ag
Energy calculated at PBEPBE/Def2TZVPP
 hartrees
Energy at 0K-615.197727
Energy at 298.15K-615.207705
HF Energy-615.197727
Nuclear repulsion energy964.659658
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 Ag 3121 3083 0.00      
2 Ag 3111 3073 0.00      
3 Ag 3096 3059 0.00      
4 Ag 1620 1600 0.00      
5 Ag 1551 1532 0.00      
6 Ag 1402 1385 0.00      
7 Ag 1320 1304 0.00      
8 Ag 1240 1225 0.00      
9 Ag 1128 1115 0.00      
10 Ag 1064 1051 0.00      
11 Ag 792 782 0.00      
12 Ag 587 579 0.00      
13 Ag 400 395 0.00      
14 Au 941 930 0.00      
15 Au 871 861 0.00      
16 Au 675 667 0.00      
17 Au 389 385 0.00      
18 Au 146 145 0.00      
19 B1g 885 874 0.00      
20 B1g 789 780 0.00      
21 B1g 523 516 0.00      
22 B1g 240 237 0.00      
23 B1u 3121 3083 51.71      
24 B1u 3096 3059 0.03      
25 B1u 3092 3055 3.07      
26 B1u 1590 1570 10.61      
27 B1u 1450 1432 2.70      
28 B1u 1416 1399 6.54      
29 B1u 1231 1217 2.48      
30 B1u 1084 1071 8.29      
31 B1u 989 977 1.42      
32 B1u 811 801 3.11      
33 B1u 686 678 0.00      
34 B1u 489 484 2.90      
35 B2g 948 936 0.00      
36 B2g 935 923 0.00      
37 B2g 860 850 0.00      
38 B2g 758 749 0.00      
39 B2g 572 565 0.00      
40 B2g 499 493 0.00      
41 B2g 255 251 0.00      
42 B2u 3111 3073 59.01      
43 B2u 3104 3066 16.68      
44 B2u 1599 1579 2.65      
45 B2u 1475 1457 2.27      
46 B2u 1419 1401 3.16      
47 B2u 1346 1330 4.83      
48 B2u 1206 1191 0.40      
49 B2u 1164 1150 15.12      
50 B2u 1138 1124 0.62      
51 B2u 961 950 0.02      
52 B2u 535 529 2.05      
53 B2u 348 344 1.62      
54 B3g 3104 3067 0.00      
55 B3g 3092 3055 0.00      
56 B3g 1582 1563 0.00      
57 B3g 1493 1475 0.00      
58 B3g 1399 1382 0.00      
59 B3g 1383 1366 0.00      
60 B3g 1224 1209 0.00      
61 B3g 1162 1148 0.00      
62 B3g 1098 1085 0.00      
63 B3g 728 719 0.00      
64 B3g 492 486 0.00      
65 B3g 449 443 0.00      
66 B3u 941 929 0.70      
67 B3u 837 827 85.91      
68 B3u 728 719 12.95      
69 B3u 711 702 50.89      
70 B3u 484 478 1.78      
71 B3u 206 204 9.42      
72 B3u 96 95 0.56      

Unscaled Zero Point Vibrational Energy (zpe) 44192.2 cm-1
Scaled (by 0.9879) Zero Point Vibrational Energy (zpe) 43657.5 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/Def2TZVPP
ABC
0.03368 0.01848 0.01193

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

Point Group is D2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.712
C2 0.000 0.000 -0.712
C3 0.000 1.237 1.429
C4 0.000 -1.237 1.429
C5 0.000 -1.237 -1.429
C6 0.000 1.237 -1.429
C7 0.000 1.212 2.835
C8 0.000 -1.212 2.835
C9 0.000 -1.212 -2.835
C10 0.000 1.212 -2.835
C11 0.000 2.463 0.683
C12 0.000 -2.463 0.683
C13 0.000 -2.463 -0.683
C14 0.000 2.463 -0.683
C15 0.000 0.000 3.527
C16 0.000 0.000 -3.527
H17 0.000 3.405 1.235
H18 0.000 -3.405 1.235
H19 0.000 -3.405 -1.235
H20 0.000 3.405 -1.235
H21 0.000 2.155 3.384
H22 0.000 -2.155 3.384
H23 0.000 -2.155 -3.384
H24 0.000 2.155 -3.384
H25 0.000 0.000 4.618
H26 0.000 0.000 -4.618

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
C11.42481.43001.43002.47342.47342.44442.44443.74903.74902.46312.46312.83082.83082.81454.23933.44503.44503.92263.92263.43273.43274.62904.62903.90555.3303
C21.42482.47342.47341.43001.43003.74903.74902.44442.44442.83082.83082.46312.46314.23932.81453.92263.92263.44503.44504.62904.62903.43273.43275.33033.9055
C31.43002.47342.47493.78082.85831.40652.82404.91774.26461.43473.77484.26072.44202.43555.10822.17654.64675.35263.43452.15983.91585.88894.90003.42046.1723
C41.43002.47342.47492.85833.78082.82401.40654.26464.91773.77481.43472.44204.26072.43555.10824.64672.17653.43455.35263.91582.15984.90005.88893.42046.1723
C52.47341.43003.78082.85832.47494.91774.26461.40652.82404.26072.44201.43473.77485.10822.43555.35263.43452.17654.64675.88894.90002.15983.91586.17233.4204
C62.47341.43002.85833.78082.47494.26464.91772.82401.40652.44204.26073.77481.43475.10822.43553.43455.35264.64672.17654.90005.88893.91582.15986.17233.4204
C72.44443.74901.40652.82404.91774.26462.42316.16685.67082.48964.25845.08743.73441.39506.47672.71554.88646.15474.62371.09173.41147.07246.29072.15537.5511
C82.44443.74902.82401.40654.26464.91772.42315.67086.16684.25842.48963.73445.08741.39506.47674.88642.71554.62376.15473.41141.09176.29077.07242.15537.5511
C93.74902.44444.91774.26461.40652.82406.16685.67082.42315.08743.73442.48964.25846.47671.39506.15474.62372.71554.88647.07246.29071.09173.41147.55112.1553
C103.74902.44444.26464.91772.82401.40655.67086.16682.42313.73445.08744.25842.48966.47671.39504.62376.15474.88642.71556.29077.07243.41141.09177.55112.1553
C112.46312.83081.43473.77484.26072.44202.48964.25845.08743.73444.92585.11171.36623.76204.87751.09195.89406.17362.13692.71845.35016.15394.07884.64205.8452
C122.46312.83083.77481.43472.44204.26074.25842.48963.73445.08744.92581.36625.11173.76204.87755.89401.09192.13696.17365.35012.71844.07886.15394.64205.8452
C132.83082.46314.26072.44201.43473.77485.08743.73442.48964.25845.11171.36624.92584.87753.76206.17362.13691.09195.89406.15394.07882.71845.35015.84524.6420
C142.83082.46312.44204.26073.77481.43473.73445.08744.25842.48961.36625.11174.92584.87753.76202.13696.17365.89401.09194.07886.15395.35012.71845.84524.6420
C152.81454.23932.43552.43555.10825.10821.39501.39506.47676.47673.76203.76204.87754.87757.05384.10484.10485.85405.85402.16012.16017.23937.23931.09108.1448
C164.23932.81455.10825.10822.43552.43556.47676.47671.39501.39504.87754.87753.76203.76207.05385.85405.85404.10484.10487.23937.23932.16012.16018.14481.0910
H173.44503.92262.17654.64675.35263.43452.71554.88646.15474.62371.09195.89406.17362.13694.10485.85406.81047.24432.46952.48635.96157.22874.78504.80016.7712
H183.44503.92264.64672.17653.43455.35264.88642.71554.62376.15475.89401.09192.13696.17364.10485.85406.81042.46957.24435.96152.48634.78507.22874.80016.7712
H193.92263.44505.35263.43452.17654.64676.15474.62372.71554.88646.17362.13691.09195.89405.85404.10487.24432.46956.81047.22874.78502.48635.96156.77124.8001
H203.92263.44503.43455.35264.64672.17654.62376.15474.88642.71552.13696.17365.89401.09195.85404.10482.46957.24436.81044.78507.22875.96152.48636.77124.8001
H213.43274.62902.15983.91585.88894.90001.09173.41147.07246.29072.71845.35016.15394.07882.16017.23932.48635.96157.22874.78504.31088.02446.76822.48358.2872
H223.43274.62903.91582.15984.90005.88893.41141.09176.29077.07245.35012.71844.07886.15392.16017.23935.96152.48634.78507.22874.31086.76828.02442.48358.2872
H234.62903.43275.88894.90002.15983.91587.07246.29071.09173.41146.15394.07882.71845.35017.23932.16017.22874.78502.48635.96158.02446.76824.31088.28722.4835
H244.62903.43274.90005.88893.91582.15986.29077.07243.41141.09174.07886.15395.35012.71847.23932.16014.78507.22875.96152.48636.76828.02444.31088.28722.4835
H253.90555.33033.42043.42046.17236.17232.15532.15537.55117.55114.64204.64205.84525.84521.09108.14484.80014.80016.77126.77122.48352.48358.28728.28729.2358
H265.33033.90556.17236.17233.42043.42047.55117.55112.15532.15535.84525.84524.64204.64208.14481.09106.77126.77124.80014.80018.28728.28722.48352.48359.2358

picture of Pyrene state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C5 120.080 C1 C2 C6 120.080
C1 C3 C7 119.026 C1 C3 C11 118.589
C1 C4 C8 119.026 C1 C4 C12 118.589
C2 C1 C3 120.080 C2 C1 C4 120.080
C2 C5 C9 119.026 C2 C5 C13 118.589
C2 C6 C10 119.026 C2 C6 C14 118.589
C3 C1 C4 119.841 C3 C7 C15 120.769
C3 C7 H21 119.119 C3 C11 C14 121.332
C3 C11 H17 118.323 C4 C8 C15 120.769
C4 C8 H22 119.119 C4 C12 C13 121.332
C4 C12 H18 118.323 C5 C2 C6 119.841
C5 C9 C16 120.769 C5 C9 H23 119.119
C5 C13 C12 121.332 C5 C13 H19 118.323
C6 C10 C16 120.769 C6 C10 H24 119.119
C6 C14 C11 121.332 C6 C14 H20 118.323
C7 C3 C11 122.385 C7 C15 C8 120.569
C7 C15 H25 119.716 C8 C4 C12 122.385
C8 C15 H25 119.716 C9 C5 C13 122.385
C9 C16 C10 120.569 C9 C16 H26 119.716
C10 C6 C14 122.385 C10 C16 H26 119.716
C11 C14 H20 120.345 C12 C13 H19 120.345
C13 C12 H18 120.345 C14 C11 H17 120.345
C15 C7 H21 120.112 C15 C8 H22 120.112
C16 C9 H23 120.112 C16 C10 H24 120.112
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 0.016      
2 C 0.016      
3 C 0.019      
4 C 0.019      
5 C 0.019      
6 C 0.019      
7 C -0.107      
8 C -0.107      
9 C -0.107      
10 C -0.107      
11 C -0.126      
12 C -0.126      
13 C -0.126      
14 C -0.126      
15 C -0.109      
16 C -0.109      
17 H 0.101      
18 H 0.101      
19 H 0.101      
20 H 0.101      
21 H 0.104      
22 H 0.104      
23 H 0.104      
24 H 0.104      
25 H 0.111      
26 H 0.111      


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 -98.464 0.000 0.000
y 0.000 -80.966 0.000
z 0.000 0.000 -80.753
Traceless
 xyz
x -17.605 0.000 0.000
y 0.000 8.643 0.000
z 0.000 0.000 8.962
Polar
3z2-r217.923
x2-y2-17.499
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 12.794 0.000 0.000
y 0.000 31.867 0.000
z 0.000 0.000 44.262


<r2> (average value of r2) Å2
<r2> 839.777
(<r2>)1/2 28.979