return to home page Computational Chemistry Comparison and Benchmark DataBase Release 22 (May 2022) Standard Reference Database 101 National Institute of Standards and Technology
You are here: Calculated > Energy > Optimized > Energy

All results from a given calculation for C19H16 (Triphenylmethane)

using model chemistry: M06-2X/6-31+G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C3 1A
Energy calculated at M06-2X/6-31+G**
 hartrees
Energy at 0K-733.384122
Energy at 298.15K 
HF Energy-733.384122
Nuclear repulsion energy1285.570067
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 M06-2X/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 A 3238 3084 0.61      
2 A 3226 3072 30.89      
3 A 3220 3066 1.57      
4 A 3209 3056 0.47      
5 A 3195 3042 8.06      
6 A 3044 2899 7.93      
7 A 1697 1616 0.00      
8 A 1670 1590 2.31      
9 A 1551 1477 0.98      
10 A 1498 1426 10.74      
11 A 1367 1301 1.36      
12 A 1335 1271 0.78      
13 A 1217 1159 0.58      
14 A 1207 1149 0.11      
15 A 1186 1129 0.00      
16 A 1124 1071 11.94      
17 A 1070 1019 0.12      
18 A 1025 976 0.00      
19 A 1019 970 0.07      
20 A 1007 959 0.06      
21 A 956 910 0.74      
22 A 879 837 0.04      
23 A 844 803 6.10      
24 A 752 716 38.99      
25 A 719 685 31.49      
26 A 671 639 4.83      
27 A 630 600 0.97      
28 A 476 454 3.86      
29 A 415 395 0.02      
30 A 274 261 0.10      
31 A 225 214 0.34      
32 A 94 89 0.31      
33 A 45 43 0.00      
34 E 3238 3083 27.55      
34 E 3238 3083 27.36      
35 E 3226 3072 10.60      
35 E 3226 3072 10.54      
36 E 3220 3066 1.68      
36 E 3220 3066 1.64      
37 E 3209 3056 0.96      
37 E 3209 3056 0.93      
38 E 3195 3042 5.28      
38 E 3195 3042 5.27      
39 E 1692 1611 13.51      
39 E 1692 1611 13.48      
40 E 1674 1594 0.36      
40 E 1674 1594 0.37      
41 E 1552 1478 22.34      
41 E 1552 1478 22.21      
42 E 1505 1433 6.47      
42 E 1505 1433 6.45      
43 E 1371 1306 0.05      
43 E 1371 1306 0.05      
44 E 1365 1300 2.06      
44 E 1365 1300 2.18      
45 E 1304 1241 2.47      
45 E 1303 1241 2.61      
46 E 1226 1168 0.88      
46 E 1226 1167 1.03      
47 E 1215 1157 1.16      
47 E 1215 1157 1.09      
48 E 1186 1129 0.02      
48 E 1186 1129 0.02      
49 E 1122 1068 0.82      
49 E 1122 1068 0.80      
50 E 1074 1022 7.88      
50 E 1074 1022 7.97      
51 E 1025 976 0.02      
51 E 1025 976 0.02      
52 E 1018 970 1.39      
52 E 1018 970 1.44      
53 E 1006 958 0.07      
53 E 1006 958 0.07      
54 E 953 907 1.39      
54 E 953 907 1.38      
55 E 892 849 1.21      
55 E 892 849 1.21      
56 E 875 834 0.14      
56 E 875 834 0.14      
57 E 779 741 31.52      
57 E 779 741 31.62      
58 E 719 684 37.90      
58 E 719 684 37.78      
59 E 634 604 2.90      
59 E 634 604 2.90      
60 E 617 588 11.35      
60 E 617 588 11.42      
61 E 505 481 4.50      
61 E 505 481 4.42      
62 E 411 391 0.20      
62 E 411 391 0.21      
63 E 309 294 0.49      
63 E 309 294 0.49      
64 E 237 225 0.50      
64 E 237 225 0.50      
65 E 67 64 0.16      
65 E 67 64 0.16      
66 E 28 26 0.03      
66 E 28 26 0.03      

Unscaled Zero Point Vibrational Energy (zpe) 64487.7 cm-1
Scaled (by 0.9522) Zero Point Vibrational Energy (zpe) 61405.2 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 M06-2X/6-31+G**
ABC
0.01307 0.01307 0.00757

See section I.F.4 to change rotational constant units
Geometric Data calculated at M06-2X/6-31+G**

Point Group is C3

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.757
H2 0.000 0.000 1.856
C3 0.000 1.464 0.335
C4 1.268 -0.732 0.335
C5 -1.268 -0.732 0.335
C6 0.734 1.943 -0.751
C7 1.315 -1.607 -0.751
C8 -2.050 -0.335 -0.751
C9 -0.809 2.358 1.046
C10 2.447 -0.478 1.046
C11 -1.637 -1.880 1.046
C12 0.656 3.287 -1.121
C13 2.519 -2.212 -1.121
C14 -3.175 -1.075 -1.121
C15 -0.887 3.698 0.682
C16 3.646 -1.081 0.682
C17 -2.759 -2.617 0.682
C18 -0.152 4.168 -0.407
C19 3.686 -1.952 -0.407
C20 -3.533 -2.216 -0.407
H21 1.375 1.265 -1.309
H22 0.408 -1.823 -1.309
H23 -1.783 0.558 -1.309
H24 -1.389 1.990 1.890
H25 2.418 0.208 1.890
H26 -1.029 -2.198 1.890
H27 1.233 3.645 -1.969
H28 2.540 -2.890 -1.969
H29 -3.773 -0.755 -1.969
H30 -1.518 4.377 1.249
H31 4.549 -0.874 1.249
H32 -3.031 -3.503 1.249
H33 -0.208 5.213 -0.694
H34 4.619 -2.426 -0.694
H35 -4.411 -2.787 -0.694

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
C11.09881.52371.52371.52372.56662.56662.56662.50962.50962.50963.84213.84213.84213.80393.80393.80394.33014.33014.33012.78522.78522.78522.67862.67862.67864.71514.71514.71514.65834.65834.65835.41555.41555.4155
H21.09882.11092.11092.11093.33303.33303.33302.62122.62122.62124.48284.48284.48283.98013.98013.98014.74514.74514.74513.67493.67493.67492.42752.42752.42755.42485.42485.42484.67194.67194.67195.80725.80725.8072
C31.52372.11092.53612.53611.39583.51352.93591.39943.20373.79052.42364.68804.31852.42864.46044.93892.80795.08005.15552.15243.69802.58892.15023.13734.10973.40325.54244.94623.40885.19585.89023.89346.12636.2119
C41.52372.11092.53612.53612.93591.39583.51353.79051.39943.20374.31852.42364.68804.93892.42864.46045.15552.80795.08002.58892.15243.69804.10972.15023.13734.94623.40325.54245.89023.40885.19586.21193.89346.1263
C51.52372.11092.53612.53613.51352.93591.39583.20373.79051.39944.68804.31852.42364.46044.93892.42865.08005.15552.80793.69802.58892.15243.13734.10972.15025.54244.94623.40325.19585.89023.40886.12636.21193.8934
C62.56663.33301.39582.93593.51353.59733.59732.40503.46724.84411.39664.53654.95252.78674.43595.92072.42004.89865.96881.08653.82072.92653.38913.58035.21842.15115.30075.39193.87245.14636.91613.40445.84656.9891
C72.56663.33303.51351.39582.93593.59733.59734.84412.40503.46724.95251.39664.53655.92072.78674.43595.96882.42004.89862.92651.08653.82075.21843.38913.58035.39192.15115.30076.91613.87245.14636.98913.40445.8465
C82.56663.33302.93593.51351.39583.59733.59733.46724.84412.40504.53654.95251.39664.43595.92072.78674.89865.96882.42003.82072.92651.08653.58035.21843.38915.30075.39192.15115.14636.91613.87245.84656.98913.4044
C92.50962.62121.39943.79053.20372.40504.84413.46724.31784.31782.77586.05414.69881.39105.64005.35612.41226.39465.51843.39254.95043.11971.08803.96884.63903.86166.91705.24952.14906.26076.27113.39737.44186.5169
C102.50962.62123.20371.39943.79053.46722.40504.84414.31784.31784.69882.77586.05415.35611.39105.64005.51842.41226.39463.11973.39254.95044.63901.08803.96885.24953.86166.91706.27112.14906.26076.51693.39737.4418
C112.50962.62123.79053.20371.39944.84413.46722.40504.31784.31786.05414.69882.77585.64005.35611.39106.39465.51842.41224.95043.11973.39253.96884.63901.08806.91705.24953.86166.26086.27112.14907.44186.51693.3973
C123.84214.48282.42364.31854.68801.39664.95254.53652.77584.69886.05415.80585.80582.40865.59247.05541.39236.09396.95302.15445.11963.66493.86384.65306.48031.08586.51356.05563.39526.17138.08182.15416.96647.9217
C133.84214.48284.68802.42364.31854.53651.39664.95256.05412.77584.69885.80585.80587.05542.40865.59246.95301.39236.09393.66492.15445.11966.48033.86384.65306.05561.08586.51358.08183.39526.17137.92172.15416.9664
C143.84214.48284.31854.68802.42364.95254.53651.39664.69886.05412.77585.80585.80585.59247.05542.40866.09396.95301.39235.11963.66492.15444.65306.48033.86386.51356.05561.08586.17138.08183.39526.96647.92172.1541
C153.80393.98012.42864.93894.46042.78675.92074.43591.39105.35615.64002.40867.05545.59246.58736.58731.39547.34996.57043.87326.01063.82482.15114.95636.02073.39467.88535.93171.08577.12577.53492.15648.34997.5082
C163.80393.98014.46042.42864.93894.43592.78675.92075.64001.39105.35615.59242.40867.05546.58736.58736.57041.39547.34993.82483.87326.01066.02072.15114.95635.93173.39467.88537.53491.08577.12577.50822.15648.3499
C173.80393.98014.93894.46042.42865.92074.43592.78675.35615.64001.39107.05545.59242.40866.58736.58737.34996.57041.39546.01063.82483.87324.95636.02072.15117.88535.93173.39467.12577.53491.08578.34997.50822.1564
C184.33014.74512.80795.15555.08002.42005.96884.89862.41225.51846.39461.39236.95306.09391.39546.57047.34997.22387.22383.40196.08424.06223.39825.25036.82452.15187.71376.30682.15647.08998.35881.08558.14458.1602
C194.33014.74515.08002.80795.15554.89862.42005.96886.39462.41225.51846.09391.39236.95307.34991.39546.57047.22387.22384.06223.40196.08426.82453.39825.25036.30682.15187.71378.35882.15647.08998.16021.08558.1445
C204.33014.74515.15555.08002.80795.96884.89862.42005.51846.39462.41226.95306.09391.39236.57047.34991.39547.22387.22386.08424.06223.40195.25036.82453.39827.71376.30682.15187.08998.35882.15648.14458.16021.0855
H212.78523.67492.15242.58893.69801.08652.92653.82073.39253.11974.95042.15443.66495.11963.87323.82486.01063.40194.06226.08423.23563.23564.28923.52675.29182.47364.36545.56874.95894.60366.97754.29834.95267.0900
H222.78523.67493.69802.15242.58893.82071.08652.92654.95043.39253.11975.11962.15443.66496.01063.87323.82486.08423.40194.06223.23563.23565.29184.28923.52675.56872.47364.36546.97754.95894.60367.09004.29834.9526
H232.78523.67492.58893.69802.15242.92653.82071.08653.11974.95043.39253.66495.11962.15443.82486.01063.87324.06226.08423.40193.23563.23563.52675.29184.28924.36545.56872.47364.60366.97754.95894.95267.09004.2983
H242.67862.42752.15024.10973.13733.38915.21843.58031.08804.63903.96883.86386.48034.65302.15116.02074.95633.39826.82455.25034.28925.29183.52674.20424.20424.94967.35825.30112.47416.62425.76904.29627.89196.2152
H252.67862.42753.13732.15024.10973.58033.38915.21843.96881.08804.63904.65303.86386.48034.95632.15116.02075.25033.39826.82453.52674.28925.29184.20424.20425.30114.94967.35825.76902.47416.62426.21524.29627.8919
H262.67862.42754.10973.13732.15025.21843.58033.38914.63903.96881.08806.48034.65303.86386.02074.95632.15116.82455.25033.39825.29183.52674.28924.20424.20427.35825.30114.94966.62425.76902.47417.89196.21524.2962
H274.71515.42483.40324.94625.54242.15115.39195.30073.86165.24956.91701.08586.05566.51353.39465.93177.88532.15186.30687.71372.47365.56874.36544.94965.30117.35826.66426.66424.29566.46268.92302.48257.06738.6512
H284.71515.42485.54243.40324.94625.30072.15115.39196.91703.86165.24956.51351.08586.05567.88533.39465.93177.71372.15186.30684.36542.47365.56877.35824.94965.30116.66426.66428.92304.29566.46268.65122.48257.0673
H294.71515.42484.94625.54243.40325.39195.30072.15115.24956.91703.86166.05566.51351.08585.93177.88533.39466.30687.71372.15185.56874.36542.47365.30117.35824.94966.66426.66426.46268.92304.29567.06738.65122.4825
H304.65834.67193.40885.89025.19583.87246.91615.14632.14906.27116.26083.39528.08186.17131.08577.53497.12572.15648.35887.08994.95896.97754.60362.47415.76906.62424.29568.92306.46268.02348.02342.48779.36557.9664
H314.65834.67195.19583.40885.89025.14633.87246.91616.26072.14906.27116.17133.39528.08187.12571.08577.53497.08992.15648.35884.60364.95896.97756.62422.47415.76906.46264.29568.92308.02348.02347.96642.48779.3655
H324.65834.67195.89025.19583.40886.91615.14633.87246.27116.26072.14908.08186.17133.39527.53497.12571.08578.35887.08992.15646.97754.60364.95895.76906.62422.47418.92306.46264.29568.02348.02349.36557.96642.4877
H335.41555.80723.89346.21196.12633.40446.98915.84653.39736.51697.44182.15417.92176.96642.15647.50828.34991.08558.16028.14454.29837.09004.95264.29626.21527.89192.48258.65127.06732.48777.96649.36559.03719.0371
H345.41555.80726.12633.89346.21195.84653.40446.98917.44183.39736.51696.96642.15417.92178.34992.15647.50828.14451.08558.16024.95264.29837.09007.89194.29626.21527.06732.48258.65129.36552.48777.96649.03719.0371
H355.41555.80726.21196.12633.89346.98915.84653.40446.51697.44183.39737.92176.96642.15417.50828.34992.15648.16028.14451.08557.09004.95264.29836.21527.89194.29628.65127.06732.48257.96649.36552.48779.03719.0371

picture of Triphenylmethane state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C3 C6 123.009 C1 C3 C9 118.238
C1 C4 C7 123.009 C1 C4 C10 118.238
C1 C5 C8 123.009 C1 C5 C11 118.238
H2 C1 C3 106.067 H2 C1 C4 106.067
H2 C1 C5 106.067 C3 C1 C4 112.650
C3 C1 C5 112.650 C3 C6 C12 120.433
C3 C6 H21 119.721 C3 C9 C15 120.998
C3 C9 H24 119.105 C4 C1 C5 112.650
C4 C7 C13 120.433 C4 C7 H22 119.721
C4 C10 C16 120.998 C4 C10 H25 119.105
C5 C8 C14 120.433 C5 C8 H23 119.721
C5 C11 C17 120.998 C5 C11 H26 119.105
C6 C3 C9 118.719 C6 C12 C18 120.386
C6 C12 H27 119.595 C7 C4 C10 118.719
C7 C13 C19 120.386 C7 C13 H28 119.595
C8 C5 C11 118.719 C8 C14 C20 120.386
C8 C14 H29 119.595 C9 C15 C18 119.928
C9 C15 H30 119.877 C10 C16 C19 119.928
C10 C16 H31 119.877 C11 C17 C20 119.928
C11 C17 H32 119.877 C12 C5 H21 26.568
C12 C18 C15 119.537 C12 C18 H33 120.253
C13 C7 H22 119.845 C13 C19 C16 119.537
C13 C19 H34 120.253 C14 C8 H23 119.845
C14 C20 C17 119.537 C14 C20 H35 120.253
C15 C9 H24 119.896 C15 C18 H33 120.210
C16 C10 H25 119.896 C16 C19 H34 120.210
C17 C11 H26 119.896 C17 C20 H35 120.210
C18 C12 H27 120.019 C18 C15 H30 120.195
C19 C13 H28 120.019 C19 C16 H31 120.195
C20 C14 H29 120.019 C20 C17 H32 120.195
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at M06-2X/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.650      
2 H 0.159      
3 C -0.158      
4 C -0.158      
5 C -0.158      
6 C -0.150      
7 C -0.150      
8 C -0.150      
9 C 0.018      
10 C 0.018      
11 C 0.018      
12 C -0.139      
13 C -0.139      
14 C -0.139      
15 C -0.096      
16 C -0.096      
17 C -0.096      
18 C -0.081      
19 C -0.081      
20 C -0.081      
21 H 0.163      
22 H 0.163      
23 H 0.163      
24 H 0.147      
25 H 0.147      
26 H 0.147      
27 H 0.153      
28 H 0.153      
29 H 0.153      
30 H 0.154      
31 H 0.154      
32 H 0.154      
33 H 0.152      
34 H 0.152      
35 H 0.152      


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 0.012 0.012
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -107.045 0.000 0.000
y 0.000 -107.045 0.000
z 0.000 0.000 -107.898
Traceless
 xyz
x 0.426 0.000 0.000
y 0.000 0.426 0.000
z 0.000 0.000 -0.852
Polar
3z2-r2-1.705
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 33.765 -0.016 -0.016
y -0.016 33.769 0.044
z -0.016 0.044 25.866


<r2> (average value of r2) Å2
<r2> 1395.764
(<r2>)1/2 37.360