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All results from a given calculation for C19H16 (Triphenylmethane)

using model chemistry: PBEPBE/3-21G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C3 1A
Energy calculated at PBEPBE/3-21G
 hartrees
Energy at 0K-728.683222
Energy at 298.15K 
HF Energy-728.683222
Nuclear repulsion energy1279.199609
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/3-21G
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 3148 3120 3.12      
2 A 3138 3110 14.08      
3 A 3129 3100 23.83      
4 A 3119 3090 0.00      
5 A 3111 3082 3.11      
6 A 2967 2940 6.25      
7 A 1588 1574 0.04      
8 A 1566 1552 3.50      
9 A 1496 1482 2.05      
10 A 1454 1440 14.30      
11 A 1341 1329 3.63      
12 A 1311 1299 0.30      
13 A 1203 1192 0.54      
14 A 1195 1184 0.04      
15 A 1167 1157 0.01      
16 A 1087 1077 10.47      
17 A 1035 1025 0.17      
18 A 1008 999 0.13      
19 A 987 978 0.03      
20 A 963 954 0.00      
21 A 914 906 1.08      
22 A 842 834 0.00      
23 A 813 806 3.23      
24 A 739 732 13.72      
25 A 710 703 48.28      
26 A 663 657 9.76      
27 A 632 626 1.02      
28 A 465 460 3.62      
29 A 410 407 0.07      
30 A 266 264 0.11      
31 A 210 208 0.68      
32 A 77 77 0.32      
33 A 41 40 0.00      
34 E 3148 3119 23.96      
34 E 3148 3119 23.95      
35 E 3138 3109 11.43      
35 E 3138 3109 11.43      
36 E 3129 3100 7.22      
36 E 3129 3100 7.22      
37 E 3119 3090 0.51      
37 E 3119 3090 0.51      
38 E 3111 3082 3.79      
38 E 3111 3082 3.78      
39 E 1583 1568 10.06      
39 E 1583 1568 10.06      
40 E 1571 1556 0.61      
40 E 1571 1556 0.61      
41 E 1496 1482 30.30      
41 E 1496 1482 30.29      
42 E 1460 1446 5.30      
42 E 1460 1446 5.30      
43 E 1356 1344 0.23      
43 E 1356 1344 0.23      
44 E 1328 1316 0.97      
44 E 1328 1316 0.97      
45 E 1243 1232 1.59      
45 E 1243 1232 1.59      
46 E 1204 1193 2.83      
46 E 1204 1193 2.83      
47 E 1196 1185 0.09      
47 E 1196 1185 0.09      
48 E 1185 1174 0.46      
48 E 1185 1174 0.46      
49 E 1083 1073 0.72      
49 E 1083 1073 0.72      
50 E 1034 1025 11.28      
50 E 1034 1025 11.28      
51 E 1011 1002 0.12      
51 E 1011 1002 0.12      
52 E 986 977 0.06      
52 E 986 977 0.06      
53 E 961 952 0.04      
53 E 961 952 0.04      
54 E 913 905 2.27      
54 E 913 905 2.27      
55 E 856 848 0.68      
55 E 856 848 0.68      
56 E 838 830 0.00      
56 E 838 830 0.00      
57 E 759 752 14.30      
57 E 759 752 14.30      
58 E 708 702 55.60      
58 E 708 702 55.59      
59 E 637 631 3.54      
59 E 637 631 3.54      
60 E 616 610 15.58      
60 E 616 610 15.58      
61 E 495 490 5.94      
61 E 495 490 5.94      
62 E 406 402 0.25      
62 E 406 402 0.25      
63 E 293 290 0.76      
63 E 293 290 0.76      
64 E 224 222 0.77      
64 E 224 222 0.77      
65 E 57 57 0.18      
65 E 57 57 0.18      
66 E 24 24 0.06      
66 E 24 24 0.06      

Unscaled Zero Point Vibrational Energy (zpe) 62558.8 cm-1
Scaled (by 0.9909) Zero Point Vibrational Energy (zpe) 61989.5 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/3-21G
ABC
0.01296 0.01296 0.00756

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/3-21G

Point Group is C3

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.825
H2 0.000 0.000 1.934
C3 0.000 1.467 0.369
C4 1.270 -0.733 0.369
C5 -1.270 -0.733 0.369
C6 0.730 1.901 -0.753
C7 1.281 -1.583 -0.753
C8 -2.011 -0.318 -0.753
C9 -0.783 2.402 1.079
C10 2.471 -0.523 1.079
C11 -1.688 -1.879 1.079
C12 0.675 3.246 -1.160
C13 2.473 -2.208 -1.160
C14 -3.149 -1.038 -1.160
C15 -0.833 3.744 0.678
C16 3.659 -1.151 0.678
C17 -2.826 -2.594 0.678
C18 -0.103 4.171 -0.446
C19 3.664 -1.996 -0.446
C20 -3.560 -2.175 -0.446
H21 1.349 1.180 -1.293
H22 0.348 -1.759 -1.293
H23 -1.697 0.578 -1.293
H24 -1.359 2.067 1.947
H25 2.470 0.143 1.947
H26 -1.111 -2.210 1.947
H27 1.248 3.571 -2.032
H28 2.468 -2.867 -2.032
H29 -3.717 -0.704 -2.032
H30 -1.438 4.459 1.241
H31 4.581 -0.984 1.241
H32 -3.143 -3.475 1.241
H33 -0.138 5.217 -0.759
H34 4.588 -2.489 -0.759
H35 -4.449 -2.728 -0.759

Atom - Atom Distances (Å)
  C1 H2 C3 C4 C5 C6 C7 C8 C9 C10 C11 C12 C13 C14 C15 C16 C17 C18 C19 C20 H21 H22 H23 H24 H25 H26 H27 H28 H29 H30 H31 H32 H33 H34 H35
C11.10921.53601.53601.53602.57632.57632.57632.53862.53862.53863.86413.86413.86413.83873.83873.83874.36134.36134.36132.77512.77512.77512.71662.71662.71664.74074.74074.74074.70384.70384.70385.45435.45435.4543
H21.10922.14482.14482.14483.37183.37183.37182.66682.66682.66684.53494.53494.53494.03644.03644.03644.80324.80324.80323.69203.69203.69202.47392.47392.47395.48125.48125.48124.73634.73634.73635.87315.87315.8731
C31.53602.14482.54072.54071.40783.49312.91421.41053.25103.81402.44124.68604.30442.44454.50964.95682.82605.10675.15772.16043.64562.53652.16723.21604.15293.42845.53534.92913.43265.26805.92123.91906.16186.2185
C41.53602.14482.54072.54072.91421.40783.49313.81401.41053.25104.30442.44124.68604.95682.44454.50965.15772.82605.10672.53652.16043.64564.15292.16723.21604.92913.42845.53535.92123.43265.26806.21853.91906.1618
C51.53602.14482.54072.54073.49312.91421.40783.25103.81401.41054.68604.30442.44124.50964.95682.44455.10675.15772.82603.64562.53652.16043.21604.15292.16725.53534.92913.42845.26805.92123.43266.16186.21853.9190
C62.57633.37181.40782.91423.49313.52693.52692.42813.50184.84671.40614.48164.88322.80884.46565.90722.43734.88745.92551.09283.71912.81623.41833.66225.25232.16655.23325.30993.90205.20876.91943.42835.84406.9466
C72.57633.37183.49311.40782.91423.52693.52694.84672.42813.50184.88321.40614.48165.90722.80884.46565.92552.43734.88742.81621.09283.71915.25233.41833.66225.30992.16655.23326.91943.90205.20876.94663.42835.8440
C82.57633.37182.91423.49311.40783.52693.52693.50184.84672.42814.48164.88321.40614.46565.90722.80884.88745.92552.43733.71912.81621.09283.66225.25233.41835.23325.30992.16655.20876.91943.90205.84406.94663.4283
C92.53862.66681.41053.81403.25102.42814.84673.50184.37494.37492.80196.07114.73711.40235.70185.41172.43246.43685.56613.41514.92063.12831.09454.05404.70453.89526.92835.28522.16576.34486.33493.42377.49236.5678
C102.53862.66683.25101.41053.81403.50182.42814.84674.37494.37494.73712.80196.07115.41171.40235.70185.56612.43246.43683.12833.41514.92064.70451.09454.05405.28523.89526.92836.33492.16576.34486.56783.42377.4923
C112.53862.66683.81403.25101.41054.84673.50182.42814.37494.37496.07114.73712.80195.70185.41171.40236.43685.56612.43244.92063.12833.41514.05404.70451.09456.92835.28523.89526.34486.33492.16577.49236.56783.4237
C123.86414.53492.44124.30444.68601.40614.88324.48162.80194.73716.07115.74225.74222.42915.62247.05231.40406.07596.91602.17665.01713.57223.89644.74396.52811.09336.42935.97103.42156.23798.09412.17036.95377.8812
C133.86414.53494.68602.44124.30444.48161.40614.88326.07112.80194.73715.74225.74227.05232.42915.62246.91601.40406.07593.57222.17665.01716.52813.89644.74395.97101.09336.42938.09413.42156.23797.88122.17036.9537
C143.86414.53494.30444.68602.44124.88324.48161.40614.73716.07112.80195.74225.74225.62247.05232.42916.07596.91601.40405.01713.57222.17664.74396.52813.89646.42935.97101.09336.23798.09413.42156.95377.88122.1703
C153.83874.03642.44454.95684.50962.80885.90724.46561.40235.41175.70182.42917.05235.62246.64396.64391.40617.37796.61333.90145.96353.82822.16815.04886.09493.42167.87065.95411.09327.21007.60092.17178.38457.5524
C163.83874.03644.50962.44454.95684.46562.80885.90725.70181.40235.41175.62242.42917.05236.64396.64396.61331.40617.37793.82823.90145.96356.09492.16815.04885.95413.42167.87067.60091.09327.21007.55242.17178.3845
C173.83874.03644.95684.50962.44455.90724.46562.80885.41175.70181.40237.05235.62242.42916.64396.64397.37796.61331.40615.96353.82823.90145.04886.09492.16817.87065.95413.42167.21007.60091.09328.38457.55242.1717
C184.36134.80322.82605.15775.10672.43735.92554.88742.43245.56616.43681.40406.91606.07591.40616.61337.37797.22617.22613.43066.00674.02043.42475.34526.88932.16887.65856.27222.17107.16648.39921.09308.15188.1600
C194.36134.80325.10672.82605.15774.88742.43735.92556.43682.43245.56616.07591.40406.91607.37791.40616.61337.22617.22614.02043.43066.00676.88933.42475.34526.27222.16887.65858.39922.17107.16648.16001.09308.1518
C204.36134.80325.15775.10672.82605.92554.88742.43735.56616.43682.43246.91606.07591.40406.61337.37791.40617.22617.22616.00674.02043.43065.34526.88933.42477.65856.27222.16887.16648.39922.17108.15188.16001.0930
H212.77513.69202.16042.53653.64561.09282.81623.71913.41513.12834.92062.17663.57225.01713.90143.82825.96353.43064.02046.00673.10533.10534.31543.58245.29662.50414.26345.45564.99454.64246.94824.33544.92307.0136
H222.77513.69203.64562.16042.53653.71911.09282.81624.92063.41513.12835.01712.17663.57225.96353.90143.82826.00673.43064.02043.10533.10535.29664.31543.58245.45562.50414.26346.94824.99454.64247.01364.33544.9230
H232.77513.69202.53653.64562.16042.81623.71911.09283.12834.92063.41513.57225.01712.17663.82825.96353.90144.02046.00673.43063.10533.10533.58245.29664.31544.26345.45562.50414.64246.94824.99454.92307.01364.3354
H242.71662.47392.16724.15293.21603.41835.25233.66221.09454.70454.05403.89646.52814.74392.16816.09495.04883.42476.88935.34524.31545.29663.58244.28494.28494.98977.40475.39282.49506.71475.86534.32857.96516.3147
H252.71662.47393.21602.16724.15293.66223.41835.25234.05401.09454.70454.74393.89646.52815.04882.16816.09495.34523.42476.88933.58244.31545.29664.28494.28495.39284.98977.40475.86532.49506.71476.31474.32857.9651
H262.71662.47394.15293.21602.16725.25233.66223.41834.70454.05401.09456.52814.74393.89646.09495.04882.16816.88935.34523.42475.29663.58244.31544.28494.28497.40475.39284.98976.71475.86532.49507.96516.31474.3285
H274.74075.48123.42844.92915.53532.16655.30995.23323.89525.28526.92831.09335.97106.42933.42165.95417.87062.16886.27227.65852.50415.45564.26344.98975.39287.40476.55196.55194.32746.52458.92442.50127.03528.5887
H284.74075.48125.53533.42844.92915.23322.16655.30996.92833.89525.28526.42931.09335.97107.87063.42165.95417.65852.16886.27224.26342.50415.45567.40474.98975.39286.55196.55198.92444.32746.52458.58872.50127.0352
H294.74075.48124.92915.53533.42845.30995.23322.16655.28526.92833.89525.97106.42931.09335.95417.87063.42166.27227.65852.16885.45564.26342.50415.39287.40474.98976.55196.55196.52458.92444.32747.03528.58872.5013
H304.70384.73633.43265.92125.26803.90206.91945.20872.16576.33496.34483.42158.09416.23791.09327.60097.21002.17108.39927.16644.99456.94824.64242.49505.86536.71474.32748.92446.52458.11538.11532.50339.41228.0453
H314.70384.73635.26803.43265.92125.20873.90206.91946.34482.16576.33496.23793.42158.09417.21001.09327.60097.16642.17108.39924.64244.99456.94826.71472.49505.86536.52454.32748.92448.11538.11538.04532.50339.4122
H324.70384.73635.92125.26803.43266.91945.20873.90206.33496.34482.16578.09416.23793.42157.60097.21001.09328.39927.16642.17106.94824.64244.99455.86536.71472.49508.92446.52454.32748.11538.11539.41228.04532.5033
H335.45435.87313.91906.21856.16183.42836.94665.84403.42376.56787.49232.17037.88126.95372.17177.55248.38451.09308.16008.15184.33547.01364.92304.32856.31477.96512.50128.58877.03522.50338.04539.41229.04009.0400
H345.45435.87316.16183.91906.21855.84403.42836.94667.49233.42376.56786.95372.17037.88128.38452.17177.55248.15181.09308.16004.92304.33547.01367.96514.32856.31477.03522.50128.58879.41222.50338.04539.04009.0400
H355.45435.87316.21856.16183.91906.94665.84403.42836.56787.49233.42377.88126.95372.17037.55248.38452.17178.16008.15181.09307.01364.92304.33546.31477.96514.32858.58877.03522.50138.04539.41222.50339.04009.0400

picture of Triphenylmethane state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C3 C6 122.072 C1 C3 C9 118.923
C1 C4 C7 122.072 C1 C4 C10 118.923
C1 C5 C8 122.073 C1 C5 C11 118.923
H2 C1 C3 107.255 H2 C1 C4 107.255
H2 C1 C5 107.255 C3 C1 C4 111.594
C3 C1 C5 111.594 C3 C6 C12 120.356
C3 C6 H21 118.993 C3 C9 C15 120.703
C3 C9 H24 119.269 C4 C1 C5 111.594
C4 C7 C13 120.356 C4 C7 H22 118.993
C4 C10 C16 120.703 C4 C10 H25 119.269
C5 C8 C14 120.356 C5 C8 H23 118.993
C5 C11 C17 120.703 C5 C11 H26 119.269
C6 C3 C9 118.985 C6 C12 C18 120.305
C6 C12 H27 119.655 C7 C4 C10 118.985
C7 C13 C19 120.305 C7 C13 H28 119.655
C8 C5 C11 118.985 C8 C14 C20 120.305
C8 C14 H29 119.655 C9 C15 C18 120.021
C9 C15 H30 119.900 C10 C16 C19 120.021
C10 C16 H31 119.900 C11 C17 C20 120.021
C11 C17 H32 119.900 C12 C5 H21 26.745
C12 C18 C15 119.630 C12 C18 H33 120.206
C13 C7 H22 120.646 C13 C19 C16 119.630
C13 C19 H34 120.206 C14 C8 H23 120.646
C14 C20 C17 119.630 C14 C20 H35 120.206
C15 C9 H24 120.028 C15 C18 H33 120.163
C16 C10 H25 120.028 C16 C19 H34 120.163
C17 C11 H26 120.028 C17 C20 H35 120.163
C18 C12 H27 120.039 C18 C15 H30 120.079
C19 C13 H28 120.039 C19 C16 H31 120.079
C20 C14 H29 120.039 C20 C17 H32 120.079
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.457      
2 H 0.228      
3 C 0.058      
4 C 0.058      
5 C 0.058      
6 C -0.207      
7 C -0.207      
8 C -0.207      
9 C -0.183      
10 C -0.183      
11 C -0.183      
12 C -0.199      
13 C -0.199      
14 C -0.199      
15 C -0.199      
16 C -0.199      
17 C -0.199      
18 C -0.198      
19 C -0.198      
20 C -0.198      
21 H 0.218      
22 H 0.218      
23 H 0.218      
24 H 0.196      
25 H 0.196      
26 H 0.196      
27 H 0.198      
28 H 0.198      
29 H 0.198      
30 H 0.197      
31 H 0.197      
32 H 0.197      
33 H 0.196      
34 H 0.196      
35 H 0.196      


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 0.022 0.022
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -105.207 0.000 0.000
y 0.000 -105.207 0.000
z 0.000 0.000 -105.039
Traceless
 xyz
x -0.084 0.000 0.000
y 0.000 -0.084 0.000
z 0.000 0.000 0.168
Polar
3z2-r20.336
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 28.851 0.000 0.000
y 0.000 28.851 0.000
z 0.000 0.000 21.342


<r2> (average value of r2) Å2
<r2> 1401.032
(<r2>)1/2 37.430