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All results from a given calculation for C7H16 (3-methylhexane)

using model chemistry: HSEh1PBE/6-31+G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C1 1A
Energy calculated at HSEh1PBE/6-31+G**
 hartrees
Energy at 0K-276.091691
Energy at 298.15K-276.108888
HF Energy-276.091691
Nuclear repulsion energy322.787072
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/6-31+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 3146 3003 28.79      
2 A 3139 2997 59.12      
3 A 3136 2994 32.66      
4 A 3131 2989 42.47      
5 A 3130 2988 17.26      
6 A 3129 2987 63.87      
7 A 3094 2954 34.49      
8 A 3078 2939 26.12      
9 A 3061 2922 10.27      
10 A 3055 2917 30.73      
11 A 3051 2913 46.85      
12 A 3050 2912 26.94      
13 A 3045 2907 43.76      
14 A 3035 2898 42.09      
15 A 3020 2883 15.81      
16 A 3009 2873 9.10      
17 A 1516 1447 9.99      
18 A 1509 1441 14.59      
19 A 1507 1439 3.57      
20 A 1501 1433 7.04      
21 A 1500 1432 3.54      
22 A 1498 1430 11.94      
23 A 1494 1426 0.75      
24 A 1488 1421 0.16      
25 A 1476 1409 0.35      
26 A 1418 1354 11.02      
27 A 1415 1351 9.21      
28 A 1414 1350 0.60      
29 A 1403 1339 0.83      
30 A 1383 1321 0.28      
31 A 1378 1316 0.92      
32 A 1335 1274 0.34      
33 A 1325 1266 0.93      
34 A 1301 1242 0.64      
35 A 1285 1227 0.20      
36 A 1256 1199 1.54      
37 A 1199 1145 0.01      
38 A 1183 1129 1.08      
39 A 1180 1127 3.74      
40 A 1106 1056 1.71      
41 A 1075 1026 1.35      
42 A 1063 1015 0.12      
43 A 1043 996 0.73      
44 A 1004 959 5.19      
45 A 972 928 3.29      
46 A 949 906 2.31      
47 A 897 856 1.28      
48 A 869 829 0.69      
49 A 830 793 0.18      
50 A 777 742 3.77      
51 A 742 708 1.81      
52 A 506 483 0.23      
53 A 437 418 0.15      
54 A 379 361 0.15      
55 A 324 309 0.03      
56 A 298 284 0.00      
57 A 262 250 0.00      
58 A 243 232 0.01      
59 A 216 206 0.03      
60 A 151 144 0.01      
61 A 105 101 0.01      
62 A 76 72 0.00      
63 A 62 59 0.02      

Unscaled Zero Point Vibrational Energy (zpe) 47824.5 cm-1
Scaled (by 0.9548) Zero Point Vibrational Energy (zpe) 45662.8 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/6-31+G**
ABC
0.19404 0.03653 0.03291

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/6-31+G**

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.569 0.134 -0.213
H2 -0.589 0.110 -1.315
C3 -0.763 1.585 0.228
C4 -1.703 -0.768 0.289
C5 0.786 -0.423 0.239
C6 -3.086 -0.434 -0.262
C7 2.012 0.265 -0.356
C8 3.317 -0.416 0.042
H9 -0.743 1.660 1.323
H10 0.023 2.238 -0.164
H11 -1.719 1.990 -0.116
H12 -1.726 -0.729 1.388
H13 -1.460 -1.807 0.029
H14 0.827 -1.491 -0.020
H15 0.841 -0.377 1.338
H16 -3.829 -1.164 0.076
H17 -3.432 0.553 0.059
H18 -3.086 -0.446 -1.358
H19 2.045 1.315 -0.041
H20 1.922 0.276 -1.451
H21 4.185 0.091 -0.392
H22 3.444 -0.420 1.131
H23 3.337 -1.459 -0.295

Atom - Atom Distances (Å)
  C1 H2 C3 C4 C5 C6 C7 C8 H9 H10 H11 H12 H13 H14 H15 H16 H17 H18 H19 H20 H21 H22 H23
C11.10261.52851.53401.53332.58022.58843.93322.17222.18552.18522.15572.14982.15182.15783.52042.90602.82472.87402.78594.75764.26894.2199
H21.10262.14222.14172.14242.76362.77684.16843.06432.49542.50023.05032.49812.49923.05323.74853.18882.55773.16502.52084.86254.74704.3498
C31.52852.14222.53492.53563.11693.12744.54761.09791.09421.09422.76183.46883.47162.76644.12102.86713.46952.83353.42675.20514.74695.1331
C41.53402.14172.53492.51331.52493.90985.03862.80843.49572.78781.10001.09852.65032.77952.17242.18772.17454.30144.15525.98935.22775.1213
C51.53332.14242.53562.51333.90351.52662.53882.80192.79693.49602.77852.64631.09981.10124.67624.33294.18772.16502.15343.49512.80442.8053
C62.58022.76363.11691.52493.90355.14606.40963.51984.10042.78712.15872.14734.06044.24031.09481.09471.09645.42545.19617.29046.67686.5042
C72.58842.77683.12743.90981.52665.14601.52483.51462.80764.11734.24234.06152.14442.15676.02835.46735.24341.09691.09912.18022.17492.1755
C83.93324.16844.54765.03862.53886.40961.52484.73624.23475.58345.22834.97532.71212.79477.18456.81816.55372.15002.15691.09481.09611.0961
H92.17223.06431.09792.80842.80193.51983.51464.73621.77021.77032.58403.76963.76822.58044.36543.17124.13693.12304.08845.44834.67925.3845
H102.18552.49541.09423.49572.79694.10042.80764.23471.77021.76023.77744.31233.81703.12465.14453.85064.27662.22583.01824.68824.52164.9664
H112.18522.50021.09422.78783.49602.78714.11735.58341.77031.76023.10753.80884.31413.77783.79982.24313.05693.82484.24036.20785.83296.1233
H122.15573.05032.76181.10002.77852.15874.24235.22832.58403.77743.10751.75513.01382.59092.51722.51433.07804.52124.73076.22675.18555.3850
H132.14982.49813.46881.09852.64632.14734.06154.97533.76964.31233.80881.75512.30993.00862.45463.07562.53374.69494.23945.97025.21464.8209
H142.15182.49923.47162.65031.09984.06042.14442.71213.76823.81704.31413.01382.30991.75654.66854.72524.26543.05932.52363.72983.05292.5250
H152.15783.05322.76642.77951.10124.24032.15672.79472.58043.12463.77782.59093.00861.75654.90084.55614.76342.49353.06173.79372.61213.1729
H163.52043.74854.12102.17244.67621.09486.02837.18454.36545.14453.79982.51722.45464.66854.90081.76251.76766.37696.12218.12457.38687.1816
H172.90603.18882.86712.18774.33291.09475.46736.81813.17123.85062.24312.51433.07564.72524.55611.76251.76855.53105.57047.64427.02717.0710
H182.82472.55773.46952.17454.18771.09645.24346.55374.13694.27663.05693.07802.53374.26544.76341.76761.76855.58215.06067.35376.98826.5886
H192.87403.16502.83354.30142.16505.42541.09692.15003.12302.22583.82484.52124.69493.05932.49356.37695.53105.58211.75562.49012.51853.0711
H202.78592.52083.42674.15522.15345.19611.09912.15694.08843.01824.24034.73074.23942.52363.06176.12215.57045.06061.75562.50483.07662.5198
H214.75764.86255.20515.98933.49517.29042.18021.09485.44834.68826.20786.22675.97023.72983.79378.12457.64427.35372.49012.50481.76841.7690
H224.26894.74704.74695.22772.80446.67682.17491.09614.67924.52165.83295.18555.21463.05292.61217.38687.02716.98822.51853.07661.76841.7672
H234.21994.34985.13315.12132.80536.50422.17551.09615.38454.96646.12335.38504.82092.52503.17297.18167.07106.58863.07112.51981.76901.7672

picture of 3-methylhexane state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C3 H9 110.522 C1 C3 H10 111.810
C1 C3 H11 111.780 C1 C4 C6 115.025
C1 C4 H12 108.738 C1 C4 H13 108.369
C1 C5 C7 115.539 C1 C5 H14 108.490
C1 C5 H15 108.878 H2 C1 C3 107.916
H2 C1 C4 107.513 H2 C1 C5 107.611
C3 C1 C4 111.730 C3 C1 C5 111.813
C4 C1 C5 110.051 C4 C6 H16 110.973
C4 C6 H17 112.216 C4 C6 H18 111.047
C5 C7 C8 112.615 C5 C7 H19 110.146
C5 C7 H20 109.109 C6 C4 H12 109.588
C6 C4 H13 108.786 C7 C5 H14 108.376
C7 C5 H15 109.243 C7 C8 H21 111.608
C7 C8 H22 111.112 C7 C8 H23 111.162
C8 C7 H19 109.093 C8 C7 H20 109.512
H9 C3 H10 107.713 H9 C3 H11 107.718
H10 C3 H11 107.093 H12 C4 H13 105.943
H14 C5 H15 105.882 H16 C6 H17 107.216
H16 C6 H18 107.538 H17 C6 H18 107.632
H19 C7 H20 106.159 H21 C8 H22 107.632
H21 C8 H23 107.694 H22 C8 H23 107.438
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.433      
2 H 0.144      
3 C -0.650      
4 C -0.205      
5 C -0.648      
6 C -0.643      
7 C -0.090      
8 C -0.724      
9 H 0.162      
10 H 0.157      
11 H 0.158      
12 H 0.157      
13 H 0.153      
14 H 0.150      
15 H 0.158      
16 H 0.164      
17 H 0.160      
18 H 0.163      
19 H 0.155      
20 H 0.158      
21 H 0.163      
22 H 0.163      
23 H 0.162      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.002 -0.014 -0.077 0.079
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -49.558 0.405 -0.235
y 0.405 -49.005 0.310
z -0.235 0.310 -48.510
Traceless
 xyz
x -0.800 0.405 -0.235
y 0.405 0.029 0.310
z -0.235 0.310 0.772
Polar
3z2-r21.543
x2-y2-0.553
xy0.405
xz-0.235
yz0.310


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 14.553 -0.023 0.061
y -0.023 11.855 -0.144
z 0.061 -0.144 11.028


<r2> (average value of r2) Å2
<r2> 360.883
(<r2>)1/2 18.997