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

using model chemistry: B3LYP/3-21G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C1 1A
Energy calculated at B3LYP/3-21G
 hartrees
Energy at 0K-274.906680
Energy at 298.15K-274.924015
Nuclear repulsion energy320.661093
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/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 3124 3014 27.99      
2 A 3117 3008 81.67      
3 A 3112 3003 23.29      
4 A 3111 3002 80.22      
5 A 3109 3000 19.52      
6 A 3106 2997 25.29      
7 A 3084 2976 13.37      
8 A 3067 2959 20.08      
9 A 3054 2947 9.17      
10 A 3049 2942 15.18      
11 A 3046 2939 24.21      
12 A 3044 2937 41.38      
13 A 3042 2936 12.71      
14 A 3033 2927 28.79      
15 A 3021 2915 6.31      
16 A 3017 2911 2.73      
17 A 1581 1526 10.35      
18 A 1574 1518 15.60      
19 A 1572 1517 0.08      
20 A 1568 1513 6.32      
21 A 1566 1511 8.71      
22 A 1564 1509 1.87      
23 A 1557 1502 0.78      
24 A 1550 1495 0.30      
25 A 1538 1484 0.17      
26 A 1466 1414 9.78      
27 A 1461 1410 2.62      
28 A 1456 1404 8.33      
29 A 1420 1370 1.04      
30 A 1399 1350 2.32      
31 A 1395 1346 0.48      
32 A 1376 1328 0.36      
33 A 1367 1319 0.30      
34 A 1344 1297 0.20      
35 A 1327 1280 0.38      
36 A 1299 1254 1.28      
37 A 1228 1184 0.17      
38 A 1199 1157 6.87      
39 A 1179 1138 0.18      
40 A 1106 1067 7.89      
41 A 1076 1038 3.57      
42 A 1048 1012 1.84      
43 A 1020 984 0.62      
44 A 1012 977 1.12      
45 A 998 963 4.90      
46 A 943 910 3.55      
47 A 899 868 0.81      
48 A 881 850 1.45      
49 A 835 806 1.55      
50 A 788 760 3.43      
51 A 761 735 4.01      
52 A 513 495 0.52      
53 A 441 425 0.32      
54 A 380 367 0.24      
55 A 324 313 0.07      
56 A 300 289 0.00      
57 A 264 255 0.00      
58 A 247 238 0.00      
59 A 221 213 0.05      
60 A 156 151 0.05      
61 A 113 109 0.01      
62 A 81 78 0.00      
63 A 67 64 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 48297.3 cm-1
Scaled (by 0.9649) Zero Point Vibrational Energy (zpe) 46602.0 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/3-21G
ABC
0.19094 0.03598 0.03253

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/3-21G

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.575 0.132 -0.216
H2 -0.598 0.100 -1.316
C3 -0.763 1.597 0.239
C4 -1.721 -0.768 0.314
C5 0.793 -0.426 0.256
C6 -3.106 -0.435 -0.282
C7 2.020 0.241 -0.405
C8 3.344 -0.404 0.059
H9 -0.744 1.651 1.335
H10 0.034 2.239 -0.150
H11 -1.718 2.002 -0.109
H12 -1.757 -0.682 1.409
H13 -1.478 -1.813 0.080
H14 0.827 -1.503 0.038
H15 0.862 -0.314 1.348
H16 -3.864 -1.138 0.084
H17 -3.426 0.576 -0.010
H18 -3.077 -0.503 -1.376
H19 2.037 1.311 -0.167
H20 1.931 0.151 -1.496
H21 4.206 0.073 -0.420
H22 3.458 -0.307 1.145
H23 3.360 -1.472 -0.191

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
C11.10071.54541.55111.55092.59502.60383.96502.17772.19372.19412.16872.16552.16912.17053.53822.89312.83062.86562.81384.78574.27934.2490
H21.10072.16542.16152.16352.76542.77504.20503.07552.51682.51613.06312.52662.53623.06593.76243.15172.55253.11892.53534.88674.76174.4041
C31.54542.16542.55322.55223.14553.16184.57201.09761.09481.09482.74873.48853.49002.74324.13762.86363.51842.84323.51535.23894.71865.1572
C41.55112.16152.55322.53801.54423.94095.08462.80193.51262.80221.09891.09862.66632.81942.18632.19522.18324.32164.17846.03155.26585.1542
C51.55092.16352.55222.53803.93611.54512.55872.80062.80033.51212.81072.66701.09951.10004.71384.34474.20102.17792.16753.51502.81222.8073
C62.59502.76543.14551.54423.93615.17196.45933.54234.12672.80992.17732.16394.08814.29201.09591.09481.09665.43255.21437.33136.71906.5491
C72.60382.77503.16183.94091.54515.17191.54463.55792.82814.14264.29104.08552.15942.17316.06265.47075.24191.09621.09842.19282.18512.1851
C83.96504.20504.57205.08462.55876.45931.54464.75054.24075.60755.28435.02372.74672.79787.24486.84126.58052.16852.17391.09571.09651.0964
H92.17773.07551.09762.80192.80063.54233.55794.75051.77721.77742.54533.75743.75522.53894.36763.18754.17593.17914.17425.48434.64045.3781
H102.19372.51681.09483.51262.80034.12672.82814.24071.77721.76893.76514.33143.82983.07415.16233.84194.32482.20703.12514.70824.45934.9827
H112.19412.51611.09482.80223.51212.80994.14265.60751.77741.76893.08453.82774.33433.76163.80762.22733.11913.81844.32016.23825.80556.1529
H122.16873.06312.74871.09892.81072.17734.29105.28432.54533.76513.08451.76733.03832.64622.52992.52653.08744.56664.76856.28335.23575.4192
H132.16552.52663.48851.09862.66702.16394.08555.02373.75744.33143.82771.76732.32593.05472.47953.08452.52894.70924.23846.00985.26954.8573
H142.16912.53623.49002.66631.09954.08812.15942.74673.75523.82984.33433.03832.32591.76904.70494.73454.27123.07022.51223.75693.09512.5434
H152.17053.06592.74322.81941.10004.29202.17312.79782.53893.07413.76162.64623.05471.76904.96094.58594.79352.51343.07383.80212.60373.1533
H163.53823.76244.13762.18634.71381.09596.06267.24484.36765.16233.80762.52992.47954.70494.96091.77111.77536.39326.14268.17567.44487.2362
H172.89313.15172.86362.19524.34471.09485.47076.84123.18753.84192.22732.52653.08454.73454.58591.77111.77575.51455.57557.65997.03657.0905
H182.83062.55253.51842.18324.20101.09665.24196.58054.17594.32483.11913.08742.52894.27124.79351.77531.77575.55945.05207.36857.00786.6165
H192.86563.11892.84324.32162.17795.43251.09622.16853.17912.20703.81844.56664.70923.07022.51346.39325.51455.55941.76732.51052.52253.0813
H202.81382.53533.51534.17842.16755.21431.09842.17394.17423.12514.32014.76854.23842.51223.07386.14265.57555.05201.76732.51843.08592.5259
H214.78574.88675.23896.03153.51507.33132.19281.09575.48434.70826.23826.28336.00983.75693.80218.17567.65997.36852.51052.51841.77601.7763
H224.27934.76174.71865.26582.81226.71902.18511.09654.64044.45935.80555.23575.26953.09512.60377.44487.03657.00782.52253.08591.77601.7749
H234.24904.40415.15725.15422.80736.54912.18511.09645.37814.98276.15295.41924.85732.54343.15337.23627.09056.61653.08132.52591.77631.7749

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 109.803 C1 C3 H10 111.235
C1 C3 H11 111.269 C1 C4 C6 113.938
C1 C4 H12 108.647 C1 C4 H13 108.422
C1 C5 C7 114.497 C1 C5 H14 108.647
C1 C5 H15 108.738 H2 C1 C3 108.668
H2 C1 C4 107.994 H2 C1 C5 108.157
C3 C1 C4 111.084 C3 C1 C5 111.029
C4 C1 C5 109.805 C4 C6 H16 110.657
C4 C6 H17 111.434 C4 C6 H18 110.372
C5 C7 C8 111.817 C5 C7 H19 109.918
C5 C7 H20 108.982 C6 C4 H12 109.777
C6 C4 H13 108.758 C7 C5 H14 108.292
C7 C5 H15 109.329 C7 C8 H21 111.163
C7 C8 H22 110.508 C7 C8 H23 110.517
C8 C7 H19 109.223 C8 C7 H20 109.518
H9 C3 H10 108.315 H9 C3 H11 108.334
H10 C3 H11 107.781 H12 C4 H13 107.070
H14 C5 H15 107.084 H16 C6 H17 107.891
H16 C6 H18 108.130 H17 C6 H18 108.243
H19 C7 H20 107.274 H21 C8 H22 108.224
H21 C8 H23 108.251 H22 C8 H23 108.075
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.230      
2 H 0.180      
3 C -0.539      
4 C -0.351      
5 C -0.329      
6 C -0.558      
7 C -0.386      
8 C -0.550      
9 H 0.180      
10 H 0.189      
11 H 0.188      
12 H 0.181      
13 H 0.183      
14 H 0.180      
15 H 0.177      
16 H 0.186      
17 H 0.189      
18 H 0.184      
19 H 0.190      
20 H 0.184      
21 H 0.184      
22 H 0.185      
23 H 0.185      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.004 -0.000 -0.031 0.031
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -48.690 0.199 -0.142
y 0.199 -48.269 0.180
z -0.142 0.180 -48.039
Traceless
 xyz
x -0.536 0.199 -0.142
y 0.199 0.095 0.180
z -0.142 0.180 0.441
Polar
3z2-r20.882
x2-y2-0.421
xy0.199
xz-0.142
yz0.180


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 12.516 0.070 -0.012
y 0.070 9.978 0.018
z -0.012 0.018 9.424


<r2> (average value of r2) Å2
<r2> 364.593
(<r2>)1/2 19.094